The formula for the surface area of a cylinder is SA= 2 pi r (h + r). What is the surface area of a cylinder when r = 3 centimetres and h = 4 centemeters?

Answers

Answer 1

The surface area of the cylinder, when the radius is 3 centimeters and the height is 4 centimeters, is approximately 131.88 square centimeters.

Use the provided formula for the surface area of a cylinder:

[tex]\[ SA = 2\pi r (h + r) \][/tex]

Given:

[tex]r = 3 \text{ centimeters}[/tex]

[tex]h = 4 \text{ centimeters}[/tex]

Now, substitute these values into the formula and calculate the surface area:

[tex]SA = 2\pi \times 3 \times (4 + 3)[/tex]

[tex]SA = 2\pi \times 3 \times 7[/tex]

[tex]SA = 6\pi \times 7[/tex]

[tex]SA = 42\pi[/tex]

Now, let's calculate the numerical value:

[tex]SA \approx 42 \times 3.14[/tex]

[tex]SA \approx 131.88 \text{ square centimeters}[/tex]

Therefore, the surface area of the cylinder, when the radius is 3 centimeters and the height is 4 centimeters, is approximately 131.88 square centimeters.


Related Questions

If a woman making $35 an hour gets a 10% raise (35 x 0.10 = 3.50 so $35 + $3.50 = $38.50/hour), how much will she now make in a 6 hour work day? (multiply by 6!) *

Answers

She will make $231 in six hours of work
Answer
Bruh

Steps
Bruh

The measures of angle Y is 45 degrees and the measures of angle Z is 70 whg is the measure of angle W

Answers

Answer:

65 degrees

Step-by-step explanation:

I assume this shape is a triangle. The sum of the three angles in a triangle always equals 180 degrees. So, you add the angles that we have the measurements of and subtract it from 180 to get your answer of 65 degrees. hope this helps:)

Which of the following statements is true?
O A) The number 135 is not divisible by 3 or 5.
OB) The number 135 is divisible by 3, 5 and 9.
OC) The number 135 is divisible by 3 and 5, but not by 9.
OD) The number 135 is divisible by 3 and 9, but not by 5.

Answers

Answer:

B)

Step-by-step explanation:

If you try to divide 135 with each number,every number is divisible by 135 XD

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured. Using the data, construct the 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.

Answers

Answer:

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 517

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

The sample proportion

                                   [tex]p^{-} = \frac{x}{n} = \frac{211}{517} =0.4081[/tex]

                                  [tex]q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919[/tex]

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

[tex](p^{-} - Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )[/tex]

[tex](0.4081 - 2.326 \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )[/tex]

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

Conclusion:-

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

he following probabilities are based on data collected from U.S. adults during the National Health Interview Survey 2005-2007. Individuals are placed into a weight category based on weight, height, gender and age. Probability Underweight 0.019 Healthy weight 0.377 Overweight (not obese) 0.35 Obese 0.254 Based on this data, what is the probability that a randomly selected U.S. adult weighs more than the healthy weight range?

Answers

Answer:

60.4% probability that a randomly selected U.S. adult weighs more than the healthy weight range

Step-by-step explanation:

We have these following probabilities:

1.9% probability that a randomly selected U.S. adult is underweight.

37.7% probability that a randomly selected U.S. adult has healthy weight.

35% probability that a randomly selected U.S. adult is overweight.

25.4% probability that a randomly selected U.S. adult is obese.

Based on this data, what is the probability that a randomly selected U.S. adult weighs more than the healthy weight range?

More than the healthy weight range: overweight or obese

35% + 25.4% = 60.4%

60.4% probability that a randomly selected U.S. adult weighs more than the healthy weight range

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 2cm per week. A random sample of 48 shrubs has an average growth of 1.80cm per week with a standard deviation of 0.50cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 2cm per week at a 0.010 significance level

Answers

Answer:

[tex]t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]  

And the p value would be:

[tex]p_v =P(t_{(47)}<-2.771)=0.0040[/tex]    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

[tex]\bar X=1.8[/tex] represent the sample mean for the growth

[tex]s=0.5[/tex] represent the sample standard deviation    

[tex]n=48[/tex] sample size    

[tex]\mu_o =2[/tex] represent the value that we want to compare

[tex]\alpha=0.01[/tex] represent the significance level

t would represent the statistic    

[tex]p_v[/tex] represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :    

Null hypothesis:[tex]\mu \geq 2[/tex]    

Alternative hypothesis:[tex]\mu < 2[/tex]    

Since we don't know the population deviation the statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)    

Replacing the info given we got:

[tex]t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]  

And the p value would be:

[tex]p_v =P(t_{(47)}<-2.771)=0.0040[/tex]    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

g An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 210 engines and the mean pressure was 4.8 pounds/square inch (psi). Assume the population variance is 0.36. If the valve was designed to produce a mean pressure of 4.9 psi, is there sufficient evidence at the 0.1 level that the valve performs below the specifications

Answers

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 4.9

For the alternative hypothesis,

µ < 4.9

This is a left tailed test.

If the population variance is 0.36, the population standard deviation would be √0.36 = 0.6 psi

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 4.9

x = 4.8

σ = 0.6

n = 210

z = (4.8 - 4.9)/(0.6/√210) = - 2.42

Looking at the normal distribution table, the probability corresponding to the z score is 0.0078

Since alpha, 0.1 > than the p value, 0.0078, then we would reject the null hypothesis. Therefore, there is sufficient evidence at the 0.1 level that the valve performs below the specifications.

A 50% tip for a $30 taxi cap ride

Answers

Answer:

15 dollars

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

We multiply the tip percentage by the amount billed

50% * 30

Change to decimal form

.50 * 30

15

Last week, Ida bought 8 cartons of raspberries for $7. How many cartons of raspberries can Ida
buy this week if she has $21?​

Answers

Answer:

24 cartons

Step-by-step explanation:

8c=7

7/8=0.875

21/0.875=24

What is the difference between a measure of center and a measure of variability?

Answers

Answer:

Step-by-step explanation:

The measure of center of a group of data is a single central value such as the mean and the median.

The mean is the arithmetical average of the sum of the data and the median is the middle value of the data when placed in ascending sequence.

The measure of variability  gives an indication of the spread of the data about the mean. Examples are  the Standard Deviation and the Interquartile Range.

Explaining the difference between a measure of center and a measure of variability.

What is the measure?

The measure is an estimate or assesses the extent, quality, value, or effect of (something).

Determining:

The measure of the center of a group of data is a single central value such as the mean and the median.

The mean is the arithmetical average of the sum of the data and the median is the middle value of the data when placed in ascending sequence.

The measure of variability gives an indication of the spread of the data about the mean. Examples are the Standard Deviation and the Interquartile Range.

Learn more about the Measure:

https://brainly.com/question/25770607

#SPJ2

The expression -10y²+54y+36 represents the profits made by a company when it increases the price of the product by y dollars. Factor this expression to find the price increase that results in a profit of 0

Answers

Answer:

− 2( 5 y + 3 ) ( y − 6 )

Step-by-step explanation:

hope it helps

which shows the numbers from greatest to least? 9.5 9 3/8 9.125 9 3/4

Answers

Answer:

I think the answer is 9 3/4, 9.5, 9 3/8, 9.125

Área of panel 5ft by 16ft

Answers

The area of the panel is 80ft^2

In preparation for upcoming wage negotiations with the union, the managers for the Bevel Hardware Company want to establish the time required to assemble a kitchen cabinet. A first line supervisor believes that the job should take 40 minutes on average to complete. A random sample of 120 cabinets has an average assembly time of 42 minutes with a standard deviation of 8 minutes. Is there overwhelming evidence to contradict the first line supervisors belief at a 0.05 significance level

Answers

Answer:

[tex]t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z>2.739)=0.0616[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

Step-by-step explanation:

Information provided

[tex]\bar X=42[/tex] represent the sample mean for the assembly time

[tex]s=8[/tex] represent the sample deviation

[tex]n=120[/tex] sample size  

[tex]\mu_o =40[/tex] represent the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to see if the true mean is equal to 40 minutes or not, the system of hypothesis would be:  

Null hypothesis:[tex]\mu =40[/tex]  

Alternative hypothesis:[tex]\mu \neq 40[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z>2.739)=0.0616[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

Final answer:

The hypothesis testing does not provide sufficient evidence to contradict the supervisor's belief that the job should take 40 minutes on average.

Explanation:

The subject matter refers to the concept of hypothesis testing in statistics, where in context, we are checking whether the actual average assembly time of a kitchen cabinet contradicts the believed assembly time. Hypothesis testing works on a null hypothesis and an alternative hypothesis. In this case, the null hypothesis (H0) can be that the average assembly time equals 40 minutes. The alternative hypothesis (H1) would be that the average assembly time does not equal 40 minutes.

At a 0.05 significance level, we calculate the test statistic (z-score) which represents how many standard deviations a data-point (the sample mean) is from the mean (the supervisor's claimed mean). The z-score is calculated as:

(Sample Mean - Claimed Mean) / (Standard Deviation/ √Number of Observations)

In this case, this becomes: (42-40)/(8/√120) = 1.732. The corresponding p-value for this z-score is 0.083.

Since the p-value is greater than the significance level of 0.05, we cannot reject the null hypothesis. Hence, there isn't overwhelming evidence to contradict the supervisor's belief that the job should take 40 minutes on average.

Learn more about Hypothesis Testing here:

https://brainly.com/question/34171008

#SPJ3

Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:

A triangle has side lengths of 10, 11, and 15. What type of triangle is it?

Procedure:

102 ?? 112 + 152

100 ?? 121 + 225

100 < 346

Conclusion:

This triangle is an acute triangle.

Which statement best summarizes Ella’s work?

Ella’s procedure and conclusion are correct.
Ella’s procedure is correct, but her conclusion is incorrect.
Ella’s procedure is incorrect, but her conclusion is correct.
Ella’s procedure and conclusion are incorrect.

Answers

Answer:Ella's Procedure And Conclusion are incorrect

Step-by-step explanation:

Answer:

Ellas procedure and conclusion are incorrect

Step-by-step explanation:

Write an expression that means the sum of six and the product of three and d

Answers

Final answer:

The expression representing the sum of six and the product of three and a variable 'd' is written as 6 + 3d.

Explanation:

The expression that means the sum of six and the product of three and d is written as 6 + 3d.

This expression shows that you first multiply the number three by the variable d, and then add six to the result of that multiplication.

The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), instructs us to perform the multiplication before the addition.

Bryan's mom spent $46.20 filling up her gas tank if her gas tank can hold 12 gallons of gas how much did each gallon cost​

Answers

Answer: Each gallon costs $3.85

Step-by-step explanation:

We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:

$46.20 ÷ 12 = $3.85

Each gallon costs $3.85

I hope this helps!

Answer:

Each gallon costs $3.85

Step-by-step explanation: We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:$46.20 ÷ 12 = $3.85Each gallon costs $3.85I hope this helps!

Solve this problem

how far apart are these planes?

Answers

Answer:

9.433 miles

Step-by-step explanation:

c^2 = a^2 + b^2

The distance between the planes ABC is the square root of 89 miles, which is approximately 9.43 miles.

The distance between the planes ABC can be found using the Pythagorean theorem since the relationship between the sides AB, BC, and AC forms a right triangle. Given that AB is 5 miles, BC is 8 miles, and AC is the hypotenuse, the distance between the planes ABC can be calculated as follows:

[tex]$$ AC^2 = AB^2 + BC^2 $$[/tex]

Substitute the given values:

[tex]$$ AC^2 = 5^2 + 8^2 $$[/tex]

[tex]$$ AC^2 = 25 + 64 $$[/tex]

[tex]$$ AC^2 = 89 $$[/tex]

Therefore, the distance between the planes ABC is the square root of 89 miles, which is approximately 9.43 miles.

What is the best first step in solving Negative 4 x + two-fifths greater-than StartFraction 5 over 10 EndFraction? Add Two-fifths to both sides. Subtract Two-fifths from both sides. Multiply both sides by Negative 4 and reverse the inequality symbol. Divide both sides by 10 and reverse the inequality symbol.

Answers

Answer:

(B) Subtract 2/5 from both sides.  

Step-by-step explanation:

What is the best first step in solving Negative 4 x + two-fifths greater-than StartFraction 5 over 10 EndFraction?

(A) Add Two-fifths to both sides.

(B) Subtract Two-fifths from both sides.  <<<<<-------Correct Answer

(C) Multiply both sides by Negative 4 and reverse the inequality symbol.

(D) Divide both sides by 10 and reverse the inequality symbol.

The solution is Option B.

Subtract Two-fifths from both sides and the inequality equation is x < -1/40

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( -4x ) + 2/5 > 5/10

On simplifying the equation , we get

-4x + 2/5 > 1/2

Subtracting 2/5 on both sides of the equation , we get

-4x > ( 1/2 ) - ( 2/5 )

-4x > 1/10

On further simplification , we get

4x < - ( 1/10 )

Divide by 4 on both sides of the equation , we get

x < - ( 1/40 )

Hence , the inequality is x < - ( 1/40 )

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ6

A(n)__________function will MULTIPLY the same number each time.
A. Exponential
B. Neither
C. Linear

Answers

The true statement is an exponential function will MULTIPLY the same number each time.

How to determine the complete statement

A linear function is represented as:

y = mx + b

An exponential function is represented as:

[tex]y = ab^x[/tex]

The factor [tex]b^x[/tex] means that the number b is multiplied by itself x times

Hence, the word that completes the blank is (a) exponential

Read more about exponential functions at:

https://brainly.com/question/11464095

Final answer:

Exponential functions multiply a constant number each time to show growth or decay.

Explanation:

Exponential functions will multiply the same number each time. They model exponential growth or decay where the value increases or decreases at a constant rate over time.

For example, if you multiply 2 by itself multiple times: 2^1, 2^2, 2^3, the result will keep growing exponentially.

In math, exponential functions are denoted as f(x) = a*b^x, where 'b' is the constant multiplied each time for growth or decay.

To pass science, a student must earn at least a grade of 70. How many students failed this science class? A histogram titled Science Grades has grades on the x-axis and number of students on the y-axis. 2 students received a score of 50 to 59; 5 students received a score of 60 to 69; 8 students received a score of 70 to 79; 5 students received a score of 80 to 89; 2 students received a score of 90 to 100.

Answers

Answer:

7 students

Step-by-step explanation:

Answer:

the answer is 7 people

Step-by-step explanation:

have a great day!

According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases. An economics professor believes that fewer college students would favor deficit reduction through spending cuts only. The professor surveys 500 college students and finds that 75 of them favor reducing the deficit using only spending cuts. What is the test statistic?

Answers

Answer:

The test statistic is [tex]t = -62.5[/tex]

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 0.2*500 = 100[/tex]

The alternate hypotesis is:

[tex]H_{1} < 0.2*500 < 100[/tex]

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

In this problem:

[tex]X = 75, \mu = 100, \sigma = \sqrt{500*0.8*0.2} = 8.94, n = 500[/tex]

So

[tex]t = \frac{75 - 100}{\frac{8.94}{\sqrt{500}}}[/tex]

[tex]t = -62.5[/tex]

The test statistic is [tex]t = -62.5[/tex]

Answer:

[tex]z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{500}}}=-2.795[/tex]  

Step-by-step explanation:

Data given by the problem

n=500 represent the random sample taken

X=75 represent the students in favor to reducing the deficit using only spending cuts

[tex]\hat p=\frac{75}{500}=0.15[/tex] estimated proportion of favor to reducing the deficit using only spending cuts

[tex]p_o=0.2[/tex] is the value that we want to check

z would represent the statistic

System of hypothesis

We want to cehck if the true proportion of students in favor to reducing the deficit using only spending cuts is less than 0.2.:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info provided we got:

[tex]z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{500}}}=-2.795[/tex]  

Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is shown below. Step 1 Find the radius. radius = StartFraction 6 Over 2 EndFraction = 3 centimeters Step 2 Find the area of the base. Area of base = Pi (3) squared = 9 pi centimeters squared Step 3 Multiply the area of the base by the height. 9 pi times 6 = 54 centimeters cubed Step 4 Divide 54 by 3 to find the volume of the cone. Volume of the cone = StartFraction 54 Over 3 EndFraction = 18 centimeters cubed What was Ahmed’s first error? In Step 1, the radius should be found by multiplying the diameter by 2. In Step 2, the formula 2 pi r should be used to find the area of the circle. In Step 3, the resulting area should be in terms of pi. In Step 4, the units of the resulting volume should be Centimeters squared.

Answers

Ahmed's first error was in step 3 where he failed to express 54 in terms of π.

What is Volume?

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.

We have,

Diameter = 6 cm

1. Radius = diameter/2

= 6/2

= 3cm

2. Area of base = π × 3²

                          = 9π cm²

3. Multiply the area of the base by the height

= 9π x 6

= 54π cm³

4. Divide 54π by 3 to find the volume of the cone

= 54π/3

= 18π cm³

So, the volume of the cone is 18π cm³.

Learn more about Volume here:

https://brainly.com/question/16142754

#SPJ7

Find the vector equations for medians from the vertices to the three midpoints of triangle ABC with vertices A(-1,5), B(5,-2) and C(3,5).

Answers

Answer:

The equation is

2y + 85x + 75 = 0

Step-by-step explanation:

Given vertices A(-1,5), B(5,-2) and C(3,5).

Suppose we want to find the median from A

First, we find the midpoint of side BC

Let the midpoint be M = ((x1 + x2)/2, (y1 + y2)/2)

= ((5+3)/2, (-2-5)/2)

= (8/2, -7/2)

= (4, -7/2)

Next, we write the equation of median with A(-1,5) and midpoint M(4,-7/2)

y = mx + c

The slope m = (y2 - y1)/(x2 - x1)

= (-7/2 - 5)/(4 + 1)

= (-17/2)/5

m = -85/2

We find the y-intercept, using A(-1,5)

x = -1, y = 5, m = -85/2

y = mx + c

5 = (-85/2)(-1) + c

c = 5- 85/2

= -75/2

y = -85x/2 - 75/2

Multiply through by 2

2y = -85x - 75

2y + 85x + 75 = 0

And this is the equation

what’s the circumference of a circle with radius of 18 in.

Answers

Answer:

C = 36 pi or approximately 113.04

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2*pi*18

C = 36 pi

We can approximate pi by 3.14

C = 36*3.14

C =113.04

can someone plz answer this quick
It takes Andre 4 minutes to swim 5 laps. How many laps per minute is that?
A. 1 1/4
B. 4/5
C. .75
D. 5/4
E. 1.25

Answers

You have to find the rate of change so you divide 4 into 5 which would look like
4/5= 0.8
but 0.8 as a fraction is equal too 4/5
so your answer is 4/5

ANSWER= B

The number of laps per minute is equal to 1.25 laps.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, time is 4 minutes and the number of laps is 5.

We can calculate as Number of laps per minute = Total number of laps/Number of minutes

= 5/4

= 1.25 laps

Hence, the number of laps per minute is 1.25 laps.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ3

Use the distributive property to write an equivalent expression without parentheses.

9 (a + 8)

Check all that apply.
Distribute 9, by multiplication, to the variable, a, and to the constant, 8.
Write the two multiplications, 9(a) + 9(8)
The expression 9(a) is written as 9a.
The expression 9(8) equals 72.
The equivalent expression is 9a + 8.
The equivalent expression is 9a + 72.

Answers

Answer:

A.Distribute 9, by multiplication, to the variable, a, and to the constant, 8.

B.Write the two multiplications, 9(a) + 9(8)

C.The expression 9(a) is written as 9a.

D.The expression 9(8) equals 72.

F.The equivalent expression is 9a + 72.

Step-by-step explanation:

or rather 9+72

Match the type of valuation with the factors used in its calculation.

cash flows

profit

NOPAT

earnings

total cost of financing

weighted average

cost of capital

EVA

Answers

Cash flows - Actual cashProfit = Expenses - RevenueNOPAT - Profit after deducting taxesEarnings - ProfitTotal cost of financing - Interest paymentsWeighted average - Calculated averageCost of capital - Average cost of debt and equityEVA - Measure of a company's financial performance

Here's the matching of the valuation types with the factors used in their calculation:

1. Cash flows: The actual cash generated or received by a business.

2. Profit: The amount of money a company makes after subtracting its expenses from its revenue.

3. NOPAT (Net Operating Profit After Tax): It is a company's operating profit after deducting taxes.

4. Earnings: The amount of money a company makes after subtracting its expenses from its revenue. It's often used interchangeably with profit.

5. Total cost of financing: The total cost associated with raising capital, including interest payments and other financing costs.

6. Weighted average: A calculated average where each value is weighted according to its significance.

7. Cost of capital: The cost of obtaining funds, which is typically the weighted average cost of debt and equity.

8. EVA (Economic Value Added): A measure of a company's financial performance based on the residual wealth calculated by deducting its cost of capital from its operating profit.

These factors are used in various combinations to perform different types of valuations, such as discounted cash flow analysis, earning-based valuation models, and economic value-added analysis.

The question is:

Match the type of valuation with the factors used in its calculation.

Types of valuation:

Cash flowsProfitNOPATEarningsTotal cost of financingWeighted averageCost of capital EVA

Factors used:

Actual cashExpenses - RevenueProfit after deducting taxesProfitInterest paymentsCalculated averageAverage cost of debt and equityMeasure of a company's financial performance

Gio is solving the quadratic equation by completing the square. 5x2 + 15x – 4 = 0 What should Gio do first?

Answers

Answer: add 4 on both sides

Step-by-step explanation:

Answer:

Isolate the constant

Step-by-step explanation:

i just took it on edge A

Kate baked some cookies. She put 12 cookies on each cookie sheet. If she baked 24 cookie sheets of cookies, how many cookies did she bake in all?

Answers

Answer:

She baked 288 cookies

Step-by-step explanation:

24 X 12 equals 288

Answer:

288 cookies

Step-by-step explanation:

Other Questions
While carefully watching the lifter, the spotter stands with her feet together and her hands ready. In terms of safety, this could BEST be described as __________. A. poor technique because her feet should be positioned differently B. good technique because she is positioned properly C. poor technique because she does not have her hands on the weights D. good technique because she is standing still help me out. im stuck. HELP PLZZZWhich of the following quadrilaterals are always parallelograms? Select all that apply. square rhombus trapezoid rectangle Which one of the following is an example of the circular flow model and shows the interdependence of households and firms? a. The firms go to the resource market to supply resources that households demand and, in turn, provide households with the goods and services produced for the product markets. b. Households supply their resources to the firms in the factor markets and, in turn, demand in the product market the goods and services produced by the firms. c. The firms in the factor markets pay to households in the form of wages, interest, rent and profitfor resources demanded. d. Households demand their resources from the firms in the factor markets and, in turn, supply in the product market the goods and services produced by firms. Identify the plant organs seen in the drawing. A Leaf B Bark C Route The parts of a tree are labeled. The green top part is labeled A. The brown part above ground is labeled B. The part underground is labeled C. which kingdom is completely off unicellular organisms that are prokaryotic Describe the solution to the system of equations below.HALP Are you ready to go back to in person school soon?( need a paragraph...pls help) PLS ANSWER DUE LATER TODAY!!! The surface area of the three dimensional figure is ____ square centimeters Choose the equation of the line that is parallel to the y-axis.A: x = -2B: x + y = 0C: x = yD: y = 2 Section 1 : Semicolon and Colon UsageChoose the sentence that uses the semicolon or the colon correctly. Original: Victor never saw the car coming now, he has a huge dent from the collision.a.)Victor never saw; the car coming now, he has a huge dent from the collision.b.)Victor never saw the car coming; now, he has a huge dent from the collision. Brendon is a college junior who has been working out and has become interested in supplementing his diet for enhanced strength and muscle mass gains. His friends tell him about several weight-gainer supplements. One of the supplements is called "Muscle Mass Magic" and has been heavily advertized on internet sites and in some popular fitness magazines. The product has also been endorsed by a professional wrestler and professional football player. Brendon is interested in trying the product and makes a trip to his local dietary supplement store. After talking with a store employee, who calls himself a nutritionist, Brandon decides the Muscle Mass Magic is the perfect product to help him reach his fitness goals. After returning home and examining the products label further, Brandon realizes that there are several ingredients in the supplement that he is uncertain of. In the future, how might Brandon better research a product's safety before using it?A) Discuss the product safety with his doctorB) Discuss the product safety with a register dietitianC) Read peer-reviewed research about the product's safety and effectivenessD) All of the above PartA loaf of bread bakes in an oven. The bread is on a rack about one foot above the heatsource. However, the top of the bread cooks just as fast as the bottom. How is heat beingadded to the bread? Devin is watching two runners at the park. The runners are the same weight, and the speed that each of them is running is not changing.Devin wants to know which runner has the most energy of motion. What would he need to find out about the runners in order to determine this? NEED ANSWER ASAP MARKING BRAINLIEST Results of a poll of a random sample of 3003 American adults showed that 20% do not know that caffeine contributes to dehydration. The poll was conducted for the Nutrition Information Center and had a margin of error of 1.4%. (a) Does the margin of error take into account any problems with the wording of the survey question, interviewer errors, bias from sequence of questions, and so forth? In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the s-score corresponding to a scoreof 54.a. 4.67c. 4.67b. 18.0d. 13.33Please select the best answer from the choices provided Which compound contains a triple bond? Select four reasons young adults are choosing to delay marriage.taking time to make sure they're with the right personwaiting for family's approvalwaiting until after college graduationtaking time to learn who they arenot wanting to be different from the normwaiting until they have more moneynot feeling ready to have children Steam Workshop Downloader