Answer:
11.15 packs of paper are used in 5 days; therefore, 133.85 are left
Step-by-step explanation:
Set this up as ratio with days on top and packs of paper on the bottom. Filling in the ratio with the info we have, keeping in mind we are looking for packs of paper left after 5 days:
[tex]\frac{days}{packs}:\frac{65}{145}=\frac{5}{x}[/tex]
Cross multiply to get 65x = 725 and x = 11.15. This represents the number of packs used. To get the number of packs remaining, subtract 11.15 from 145 to get 133.85 remaining after 5 days.
Bills truck goes 18 miles on one gallon of gas.! How many miles can bill go on 6 gallons
Answer:
108 miles
Step-by-step explanation:
you multiply the 18 miles he can go on one mile of gas by 6, and you reach 108 miles
Add. (6x3+3x2−2)+(x3−5x2−3)
Express the answer in standard form.
ANSWER
[tex]{7x}^{3} - 2 {x}^{2} - 5[/tex]
EXPLANATION
A simplified polynomial is said to be in standard form if it is in descending powers of x.
The polynomial expression is
[tex](6 {x}^{3} + 3 {x}^{2} - 2) + ( {x}^{3} - 5 {x}^{2} - 3)[/tex]
We group similar terms to get;
[tex]6 {x}^{3} + {x}^{3} + 3 {x}^{2} - 5 {x}^{2} - 3 - 2[/tex]
Combine similar terms
[tex]{7x}^{3} - 2 {x}^{2} - 5[/tex]
The polynomial above is in standard form.
Determine which consecutive integers the real zeros of f(x) = x^3 - 2 are located
the answer is A) between 1&2
Answer:
The real zero is between 1 and 2.
Step-by-step explanation:
The given function is:
[tex]f(x)=x^3-2[/tex]
To find the zeros of this function, we set f(x)=0.
[tex]\implies x^3-2=0[/tex]
Add 2 to both sides to obtain:
[tex]\implies x^3=2[/tex]
Take the cube root of both sides
[tex]\implies x=\sqrt[3]{2}[/tex]
[tex]\implies x=1.26[/tex]
Therefore the real zero is between 1 and 2.
Need help with a math question
Answer:
57%
Step-by-step explanation:
We are given the results of survey of one thousand families to determine the distribution of families by their size.
We are to find the probability (to the near percent) that a given family has 3, 4 or 5 people.
Frequency of families with 3, 4 or 5 people = 200 + 245 + 125 = 570
Total frequency = 1000
P (families with 3, 4 or 5 people) = (570 / 1000) × 100 = 57%
BRAINLIEST solve the system by substitution
x-y=5
2x+y=13
Answer:
2xy∧²√13xy
Step-by-step explanation:
Answer:
The solution is x = 6 and y =1
Explanation :
In the substitution method we solve a system of equation by substituting the value of one variable from an equation to the another equation,
Given system of equations,
x-y = 5 ⇒ y = x - 5.......(1)
2x+y = 13.......(2)
Substitute the value of y from equation (1) to equation (2),
2x+x-5=13
3x-5=13
3x=18
x = 6
Again from equation (1),
y = 6 - 5 = 1
New help with this question
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
Answer: 2l+2w
Step-by-step explanation:
Answer:21 plus 2w
Step-by-step explanation:
A bouncy ball is dropped such that the height of its first bounce is 5.5 feet and each successive bounce is 64% of the previous bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).
Final answer:
To find the height of the 7th bounce of a bouncy ball, where each bounce is 64% of the height of the previous one, use the geometric sequence formula. For the first bounce's height of 5.5 feet and a common ratio of 0.64, calculate the 6th power of 0.64, then multiply by 5.5 and round to the nearest tenth.
Explanation:
The student is asking about finding the height of the seventh bounce of a bouncy ball, which follows a geometric sequence in which each term is 64% of the previous one. To find the height of the 7th bounce, we will use the formula for the nth term of a geometric sequence, which is an = a1 × r(n-1), where a1 is the first term, r is the common ratio, and n is the term number.
The first term a1 is the height of the first bounce, which is 5.5 feet, and the common ratio r is 0.64 (since 64% is 0.64 in decimal form). Using this information, the height of the 7th bounce is calculated as follows:
Calculate the 6th power of the common ratio: 0.646
Multiply this value by the height of the first bounce: 5.5 × 0.646
Round the result to the nearest tenth
Calculating the exact value and rounding to the nearest tenth gives us the height of the seventh bounce.
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor. 3x + 82 = 22 3x + 22 = 82 3x ? 22 = 82 3x ? 82 = 22
Answer:
[tex]82=3x+22[/tex]
The temperature in Bangor is [tex]x=20\°[/tex]
Step-by-step explanation:
Let
x -----> the temperature in Bangor
y ----> the temperature in Miami
we know that
The linear equation that represent this situation is
[tex]y=3x+22[/tex] ----> equation A
[tex]y=82[/tex] ----> equation B
substitute equation B in equation A and solve for x
[tex]82=3x+22[/tex]
[tex]3x=82-22[/tex]
[tex]3x=60[/tex]
[tex]x=20\°[/tex]
Answer:
3x + 22 = 82
Step-by-step explanation:
I am positive its correct
If Train A is moving 66 mph and is 456 miles from the station while Train B is moving 72 mph and is 502 miles away, which train arrives at the station first?
Answer: train A arrives first
Step-by-step explanation:
Miles rode his mountain bike over some trails in a state park. He biked a total of 5 1/2 miles. How many yards did miles bike? There are 1,760 yards in a mile.
9680 yards. Miles biked a total of 9680 yards.
The key to solve this problem is coverting the Mixed Fraction to Improper Fraction, and make the conversion from miles to yards.
Convert the Mixed Fraction 5 1/2 to an Improper Fraction:
- Multiply the whole number 5 by the denominator
5 x 2 = 10
- Add the result to the numerator
1 + 10 = 11
- Write the Improper Fraction with the same denominator of the Mixed Fraction, and the numerator with the result above
5 1/2 miles ----------> 11/2 miles
To convert miles to yard with mile = 1760 yards:
11/2 * 1760 yards = 19360 yards/2 = 9680 yards
Final answer:
Miles biked for a total of 5 1/2 miles. By converting miles to yards using the fact that there are 1,760 yards in one mile, Miles biked a total of 9,680 yards.
Explanation:
The student has asked how many yards Miles biked if he rode a total of 5 1/2 miles. To find the answer, we need to convert miles to yards. Since there are 1,760 yards in a mile, we can multiply the number of miles by this conversion factor.
First, let's represent 5 1/2 miles as an improper fraction: 5 1/2 = 11/2 miles. Next, we multiply 11/2 by 1,760:
11/2 miles
= 11/2
* 1760 yards/mile
= 11*880 yards
= 9,680 yards.
Therefore, Miles biked a total of 9,680 yards.
Find X
Pease help me
Check the picture below.
Extra points if correct!
Thanks-Aparri
$20000 is invested in an account that earned 6% p.A. Compounding yearly for 3 years. The interest rate then went up to 8% p.A. For the next 4 years. After this period the amount of money in the account would be?
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for the first 3 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}[/tex]
[tex]\bf A=20000\left(1+\frac{0.06}{1}\right)^{1\cdot 3}\implies A=20000(1.06)^3\implies \boxed{A=2382.032} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Compound Interest Earned Amount \underline{for the next 4 years}}[/tex]
[tex]\bf A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2382.032\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]\bf A=2382.032\left(1+\frac{0.08}{1}\right)^{1\cdot 4}\implies A=2382.032(1.08)^4\implies \boxed{A\approx 3240.73} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{amount for this period}}{2382.032+3240.73}\implies 5622.762[/tex]
A distribution has the five-number summary shown below. What is the third quartile, Q3, of this distribution?
22, 34, 41, 55, 62
The diameter of each wheel of a bicycle is 28 inches. If you are traveling at a speed of 15 miles per hour on this? bicycle, through how many revolutions per minute are the wheels? turning?
Answer:
180.07 rev / min
Step-by-step explanation:
Diameter (D) of each wheel =28 inches
Circumference (C) = π x 28 = 28π inches
Conversions:
1 mile = 63,360 inches
1 hour = 60 min
Hence 15 miles / hour
= (15)(63,360) inches / hour
= (15)(63,360) / 60 inches / min
= 15,840 inches per min
Number of revolutions per min = Number of inches per min ÷ circumference in inches
=15,840 inches/min ÷ 28π inches
= 180.07 revolutions per min
To find the number of revolutions per minute a bicycle's wheels make, convert the speed from miles per hour to inches per minute, calculate the wheel's circumference, and divide the traveling speed in inches per minute by the circumference. A bicycle with 28-inch diameter wheels going 15 miles per hour makes approximately 180 revolutions per minute.
Explanation:To determine how many revolutions per minute the wheels of a bicycle with a 28-inch diameter are turning when traveling at 15 miles per hour, we first need to convert the speed to inches per minute. There are 5280 feet in a mile and 12 inches in a foot, so first we calculate:
15 miles/hour * 5280 feet/mile * 12 inches/foot = 950400 inches/hour
Since there are 60 minutes in an hour, we then convert to inches per minute:
950400 inches/hour / 60 minutes/hour = 15840 inches/minute
Next, we need to find out the circumference of the bicycle wheel, as this will tell us how far the bike travels with each revolution. The formula for the circumference (C) of a circle using the diameter (d) is:
C = π * d
For a wheel with a diameter of 28 inches:
C = π * 28 inches ≈ 87.96 inches
Now, to find the number of revolutions per minute, we divide the traveling speed in inches per minute by the circumference:
15840 inches/minute / 87.96 inches/revolution ≈ 180 revolutions per minute (rounded to the nearest whole number).
please help will mark brainliest for whoever answers this question first
Tia measured the daily high temperature in Kats, Colorado for each of the 303030 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below).
Which display can be used to find how many days had a high temperature above 15^{\circ}\text{C}15
∘
C15, degree, C?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The dot plot
(Choice B, Checked)
B
The box plot
Which display makes it easier to see that the first quartile is 9^{\circ}\text{C}9
∘
C9, degree, C?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The dot plot
(Choice B)
B
The box plot
Which display can be used to find how many days had a high temperature above 15 deg?
Answer: A The dot plot
In the dot plot, you can see each temperature since each temperature is represented by 1 dot.
Which display makes it easier to see that the first quartile is 9 deg?
Answer: B The box plot
The box plot shows where the upper and lower quartiles are.
Answer:
First question: A . The dot plot
Second question: B . The box plot
Step-by-step explanation:
In the dot plot it is easy to count 7 values above 15.
In the box plot are shown (in this order): the minimum value; the lower quartile, called Q1; the median, the upper quartile, also called Q3; and the maximum value. As can be seen in the graph, the the first quartile is 9 °C
Which of the scatterplots have no correlation? Check all that apply.
HELP ASAP I dont have much more time to turn it in. Will award brainliest answer and 35 points
First one has a general upward trend that will be a non-zero correlation
Second one shows a zero average slope, no upward or downward tendency; NO CORRELATION
Third one has no slope, so NO CORRELATION
Fourth one, pronounced downward slope, strong negative correlation.
Fifth one, hard to tell but looks like no upward or downward average slope, so NO CORRELATION
Answer: B C E
Step-by-step explanation:
The selling price of x number of a certain stereo can be modeled by the function R(x) = 160x. The total cost of making x stereos is C(x) = 71x – 0.02x2. What is the percent markup for 31 stereos?
23%
127%
227%
278%
Answer:
127% markup
Step-by-step explanation:
So we need to plug in 31 into each
R(31)=160(31)=4960
C(31)=71(31)-.02(31)^2=2181.78
So the selling price is 4960 for 31 stereos.
The total cost for making 31 stereos is 2181.78.
So that is a markup for sure.
So you find the difference and then divide it by the total cost.
(4960-2181.78)/2181.78=1.27 approximately
so there is 127% markup
Can someone please explain to me how to solve this problem? Thank you.
The average for the 5 tests is a 74.
The total of the 5 grades needs to equal 5 x 74 = 370
The total of the 4 graded tests is : 76 +80 + 69 + 71 = 296
Subtract that from the first total: 370 - 296 = 74
The grade needs to be a 74
given the diagram below, Michael writes, "Segment AC is congruent to segment AC." Which of the following reasons allow him to write this statement?
Answer:
c
Step-by-step explanation:
The reason which allows him to write the statement could be reflexive property.
What is the reflexive property of congruence?
The reflexive property of congruence says that the considered geometric quantity, whether it be the angle, line segment, shape etc, is congruent to itself.
Michael writes, "Segment AC is congruent to segment AC."
The triangles in the figure are congruent by SSS Property.
This states that triangles are congruent if all the sides in one triangle are congruent to the corresponding sides of another.
The reason which allows him to write the statement could be reflexive property.
The three sides of triangle ABC is congruent to triangle CDA.
Learn more about triangles;
https://brainly.com/question/777464
#SPJ2
What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?
Answer:
(-7, 5)
Step-by-step explanation:
Comparing the equation to the standard form equation of a circle of radius r centered at (h, k):
(x -h)² +(y -k)² = r²
you see that h=-7 and k=5.
The center of the circle has coordinates (-7, 5).
_____
Like a lot of math, it's about pattern matching.
Find the value of x so that the line passing through (x, 10) and (-4, 8) has a slope of 2/3.
Thanks yall!
Answer:
x=-1
Step-by-step explanation:
General equation of line is y=mx+n where m is slope. So, if we use point (-4, 8) and slope in equation we have 8= 2/3.(-4)+n
Then we have n=8+8/3, that is n=32/3
Therefore equation of our line is y=2/3.x + 32/3
For the point (x,10) in equation 10=2/3.x + 32/3
Then we have 2/3.x = - 2/3 then x= -1
Answer:
x = - 1
Step-by-step explanation:
Using the slope formula to find the slope m
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (x , 10) and (x₂, y₂ ) = (- 4, 8)
m = [tex]\frac{8-10}{-4-x}[/tex] = [tex]\frac{2}{3}[/tex], that is
[tex]\frac{-2}{-4-x}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(- 4 - x) = - 6 ( divide both sides by 2 )
- 4 - x = - 3 ( add 4 to both sides )
- x = 1 ( multiply both sides by - 1 )
x = - 1
Use the Rational Zeros Theorem to write a list of all potential rational zeros.
f(x) = x3 - 10x2 + 9x - 24
Answer:
{±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24}
Step-by-step explanation:
Since the leading coefficient is 1, any rational zeros will be divisors of -24.
_____
Comment on rational zeros
If the leading coefficient is not one, then rational zeros will be the ratio of a divisor of 24 to a divisor of the leading coefficient.
Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree.
sin–1 (2/3) = °
tan–1(4) = °
cos–1(0.1) = °
Answer:
A. [tex]\text{sin}^{-1}(\frac{2}{3})\approx 42^{\circ}[/tex]
B. [tex]\text{tan}^{-1}(4)\approx 76^{\circ}[/tex]
C. [tex]\text{cos}^{-1}(0.1)\approx 84^{\circ}[/tex]
Step-by-step explanation:
We have been given inverse trigonometric functions. We are asked to find the value of each function.
A. [tex]\text{sin}^{-1}(\frac{2}{3})[/tex]
We will use inverse sin to solve our given equation as:
[tex]\text{sin}^{-1}(\frac{2}{3})=41.81^{\circ}[/tex]
Round to nearest degree:
[tex]\text{sin}^{-1}(\frac{2}{3})\approx 42^{\circ}[/tex]
B. [tex]\text{tan}^{-1}(4)[/tex]
We will use inverse tann to solve our given equation as:
[tex]\text{tan}^{-1}(4)=75.963756^{\circ}[/tex]
Round to nearest degree:
[tex]\text{tan}^{-1}(4)\approx 76^{\circ}[/tex]
C. [tex]\text{cos}^{-1}(0.1)[/tex]
We will use inverse cosine to solve our given equation as:
[tex]\text{cos}^{-1}(0.1)=84.2608295^{\circ}[/tex]
Round to nearest degree:
[tex]\text{cos}^{-1}(0.1)\approx 84^{\circ}[/tex]
To solve the problem we must know about the concept of trigonometry.
The value of [tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex] is 42, 76, and 85 degrees respectively.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Given
[tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex] are the trigonometric function.
To find
The value of the [tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex].
How to get the value of the trigonometric function?[tex]\rm 1. \ \ sin^{-1} (2/3) = 41.81^o = 42^o\\\\ 2. \ \ \ \ \ tan^{-1}(4) = 75.96^o = 76^o \\\\3. \ \ cos{-1}(0.1)= 84.26^o = 85^o[/tex]
The value of [tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex] is 42, 76, and 85 degrees respectively.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
simplify x+5/3 - x+2/3
Answer:
1 2/3 - 2/3
How to get it
5/3 simplifies into 1 and 2/3 and since you are doing addition and subtraction with x it cancels them out making it 1 and 2/3 minus 2/3, which would equal, 1, hope this helps!
Answer:
1 2/3 - 2/3
Step-by-step explanation:
You get this answer by canceling out the x's since they are the both the same with both the numbers: 5/3 and 2/3. So then you convert 5/3 into 1 2/3 and finish the rest of the equation which would end up being 1 2/3 - 2/3.
What is (2+2+3+10)x(8+9+-9+7)
Answer:
255
Step-by-step explanation:
(2+2+3+10) × (8+9+-9+7)
First, remove the brackets:
2 + 2 + 3 + 10 × 8 + 9 + -9 + 7
Now calculate like so:
2 + 2 + 3 + 10 = 17
8 + 9 + -9 + 7 = 15
(17) × (15) = 17 × 15 = 255
PLEASE DO MARK ME AS BRAINLIEST UWU
Answer:
Your answer for this question is 255.
Step-by-step explanation:
To solve this problem, we must remember how to use PEMDAS. This tells us that we must simplify what is in parentheses first, exponents next, then multiplication and division, and finally addition and subtraction. In this case, this means that we must first perform the operations inside of the parentheses before the multiplication of the two groups of parentheses.
If we simplify within both groups of parentheses, we get:
(2+2+3+10) * (8+9+-9+7)
= (17) * (15)
We get the above simplification by performing the addition of all of the constants in the first group of parentheses and performing the addition and subtraction in the second group (notice that the +9 and -9 cancel each other out).
Now, we must simply multiply together our final two values to obtain our final answer.
17 * 15 = 255
Therefore, your answer is 255.
Hope this helps!
Which equation represents the line that passes through the points and (4, 10) and (2, 7)?
y = 3/2x - 11
y = 3/2x +4
y = - 3/2x + 19
y = - 3/2x + 16
Answer:
y=(3/2)x+4
Step-by-step explanation:
step 1
Find the slope m
we have
the points (4, 10) and (2, 7)
The slope is equal to
m=(7-10)/(2-4)
m=3/2
step 2
Find the equation into slope point form
y-y1=m(x-x1)
we have
m=3/2
(x1,y1)=(2,7)
substitute
y-7=(3/2)(x-2)
y=(3/2)x-3+7
y=(3/2)x+4
5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20° with the ground. Write parametric equations to represent the path of the rock.
Answer:
x = 30t cos 20 or x = 28.19t.
y = 30t sin 20 - 4.9t^2 + 2 or y = -4.9t^2 + 10.26t + 2.
Step-by-step explanation:
The horizontal component of the velocity = 30 cos 20 m/s so the distance at time t seconds = 30t cos 20.
The vertical component is obtained from the equation of motion
s = ut - 1/2* 9.8t^2 + 2
u = 30 sin 20
Vertical component = 30t sin 20 - 4.9t^2 + 2.
Answer:
x(t) = 30t cos 20 or we can get x = 28.19t. y = 30t sin 20 – 4.9t^2 +2 or y= -4.9t^2 + 10.26t +2
Step-by-step explanation:
The path the rock took can be represented by the following equation x(t) = v0 * cos(θ) * t y (t) = v0 * sin (θ) * t – 0.5 * g * t^2 + h. v0 is the initial velocity (30 m/s), θ is the angle of launch (20 degrees), g is the acceleration due to gravity (9.8 m/s^2) , h is the initial height (2m ) , and t is time. When we switch the values, we get x(t) = 30t cos 20 or we can get x = 28.19t. y = 30t sin 20 – 4.9t^2 +2 or y= -4.9t^2 + 10.26t +2
I WILL LITERALLY GIVE BRAINLIEST IF YOU ANSWER CORRECTLY
Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold.
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work.
Temperature can relate to how cold the ice cream cone is.
The ice cream cone(s) can relate to all the buildings in the city.
Step-by-step explanation: