Answer:
Rounding up to the nearest degree is equivalent to rounding up to the nearest whole number (or integer)
Step-by-step explanation:
Any value between degrees above .5 is rounded up to the next degree, so for instance:
30.4 --> 30
30.5 --> 31
30.999 --> 31
31 --> 31
31.499 --> 31
Rounding values expressed in degrees and minutes is similar to rounding decimals.
What is mean by rounding off?Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
We know that;
Rounding values expressed in degrees and minutes is similar to rounding decimals.
However, because there are 60 minutes in a degree, the half way point is 30. If the number of minutes is less than 30, we round down to the nearest degree. If the number of minutes is 30 or more, we round up to the nearest degree.
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Brandon estimates that he will need $18,000 each year to attend a 4-year college. His family can pay $5,000 a year. And he can get a student loan for $10,000 each year. If he saves $250 a month, how many months will it take him to save the rest of the money he will need for college?
Answer:
48 months
Step-by-step explanation:
Brandon estimates that he will need $18,000 each year to attend a 4-year college.
His family can pay $5,000 a year and he can get a student loan for $10,000 each year.
This means that, each year, $15000 out of the $18000 has been covered. That is the sum of the money from his parents and the loan:
$5000 + $1000 = $15000
That means the amount he still needs to cover per year is:
$18000 - $15000 = $3000
In 4 years, he will need to cover:
4 * $3000 = $12000
He saves $250 a month. Therefore, the number of months he will need to save $12000 is:
[tex]\frac{12000}{250} = 48 months[/tex]
He will need to save for 48 months to save the rest of the money he will need for College.
Answer: It will take him 48 months.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
the amount his family can pay per year (5000) multiplied by 4 (since is a 4 year college) ; plus the amount of the loan he gets per year (1000) also multiplied by 4 ; plus the amount he saves per month (250) multiplied by the number of months (m) must be equal to the amount he will need per year for college (18000) multiplied by 4.
Mathematically speaking
18000 x 4 = (5000 x 4) + (10000x 4) + 250 m
Solving for m
72000= 20,000+ 40,000+ 250m
72,000-20,000-40,000 = 250m
12,000= 250m
12,000/250 = m
48 =m
Feel free to ask for more if needed or if you did not understand something.
what is consecutive whole numbers? I have to write an algebraic expression for the sum of three consecutive whole numbers... :(
Answer:
Consecutive whole numbers (or integers) are numbers that directly follow one another.
Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.
Step-by-step explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.
or
let the three consecutive whole numbers is x, x+1,and x+2
x + x+1 + x+2 = 4+2(x+1)
3x+3=4+2x+2
3x-2x=6-3
x=3
the other two numbers are 3+1=4,and 3+2=5
so the three numbers are 3,4 and 5
what is the value of sin C?
Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and
state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is
bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no
asymptotes.
r= 3 -3cos theta
Answer:
Step-by-step explanation:
The shape of the curve is a rose curve.
The domain are real numbers
And the range is approximately from -3.9 to 3.9
The maximum value of r on the graph is 3.9
Yes the graph is continuous and it is bounded above and below
The graph is symmetrical about the x axis and not about the y axis.
No asymptotes
Find the probality of rolling a multiple of 4
Answer:8
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
What is 5(x-6)+2=7x-6
Answer:
x = -11
Step-by-step explanation:
[tex]5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x[/tex]
Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows. Column1 is labeled Cardinals with entries 5, 6, 9, 10. Column 2 is labeled Robins with entries 15, 18, 27, 30.
Answer:
Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.
Answer :
Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.
KEEP IN MIND THIS IS A SAMPLE RESPONSE!
Jeremy made a belt that was 6.4 decimeter long. How many centimeters long is the belt Jeremy made?
Answer:
64
Step-by-step explanation:
1 Decimeter is equal to 10 centimeters. To convert decimeters to centimeters, multiply the decimeter value by 10. In this case it is 64.
Hope I helped:)
What is the image of (-6,-3) after a reflection over the y-axis?
Answer:
(6,-3)
Step-by-step explanation:
Answer:
(6,3)
Step-by-step explanation:
so the rule of a reflection over y axis is:
(-x,y)
since x=-6
(--6,-3)
(6,-3) is the new point
if its an reflection over the x axis(which is not the case here) then it would be:
(x,-y)
Find the value of csc theta, if cos =-3/5; 90 degrees < theta < 180 degrees
Answer:[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Given
[tex]\cos \theta =\frac{-3}{5}[/tex]
and [tex]\theta [/tex] lies between
[tex]90^{\circ}<\theta <180^{\circ}[/tex]
and for this [tex]\theta[/tex],[tex]\sin[/tex] and [tex]\text{cosec}[/tex] is Positive as they lie in 2 nd Quadrant
[tex]\sin ^2\theta +\cos ^2\theta =1[/tex]
[tex]\sin ^2\theta =1-(\frac{-3}{5})^2[/tex]
[tex]\sin ^2\theta =1-\frac{9}{25}[/tex]
[tex]\sin ^2\theta =\frac{16}{25}[/tex]
[tex]\sin \theta =\frac{4}{5}[/tex]
[tex]\therefore \text{cosec}\ \theta =\frac{5}{4}[/tex]
What is the area of this composite figure?
2 trapezoids. Both trapezoids have base lengths of 210 millimeters and 150 millimeters, and a height of 55 millimeters.
8,250 millimeters squared
9,900 millimeters squared
11,550 millimeters squared
19,800 millimeters squared
Answer:
9,900 millimeters squared
Step-by-step explanation:
The area of the composite figure having bases 210mm, 150mm and height 55mm is ; 19800 millimeters squared.
What is a trapezoid?A trapezoid is a quadrilateral with one pair of parallel sides.
Analysis:
Area of a trapezoid = 1/2(a + b )h
where a = small base, b = big base and h = height
From given data: a = 150mm, b = 210mm, h = 55mm
Area of trapezoid = 1/2(150+210) x 55 = 9900[tex]mm^{2}[/tex]
For the two trapezoids = 2 x 9900 = 19800[tex]mm^{2}[/tex]
In conclusion, the area of the two trapezoids is 19800[tex]mm^{2}[/tex]
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My first step will be to change the operator to multiplication and
reciprocate the second fraction when... *
O
A Adding
O
B Multiplying
O
c Subtracting
O
D Dividing
Answer: D. Dividing
Step-by-step explanation:
When we divide a number ( whether fraction or not ) by a fraction, then we first change the operator to multiplication and reciprocate the second fraction.
Let's take an example:
Suppose we have h division problem in fraction as [tex]\dfrac{2}{3}\div\dfrac{4}{9}[/tex]
Then, our first step would be to change division operator (÷) by multiplication operator (×) and then ×reciprocate the second fraction , so the next step will become [tex]\dfrac{2}{3}\times\dfrac{9}{4}[/tex] , Now cancel out 3 and 2 from both numerator and denominator , we get
[tex]\dfrac{1}{1}\times\dfrac{3}{2}=\dfrac{3}{2}[/tex]
i.e. [tex]\dfrac{2}{3}\div\dfrac{4}{9}=\dfrac{3}{2}[/tex]
Hence, the correct option is "D. Dividing".
The first step which involves changing the operator to multiplication of the reciprocal of the second fraction is when dividing.
How to be divide fractionIf given
5/2 ÷ 1/2
The first step is to multiply with the reciprocal of the second fraction
= 5/2 × 2/1
= (5 × 2) / (2 × 1)
= 10/2
= 5
Therefore, when dividing fraction, we multiply with the reciprocal of the second fraction.
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A greengrocers sells mangoes for 77p each.
a)
Find the greatest number of mangoes you can buy for £5.
b) How much change should you receive?
Answer:
6 mangoes
0.38 or 38p
Step-by-step explanation:
Apparently the value of the mango is £ 0.77, which means that to get the number of mangoes you can buy, you must divide this value to the amount of money you have, that is, £ 5
5 / 0.77 = 6.49
which means that it is enough for 6 mangoes.
To know the change, multiply the value of one by 6 and subtract it with £ 5, it would be the change.
6 * 0.77 = 4.62
5 - 4.62 = 0.38
That is, the change is £ 0.38 or 38p
Answer:
(a) 6 mangoes
(b) £0.38
Step-by-step explanation:
(a) The greengocers sell the mangoes for 77 p.
The greatest number of mangoes you can buy for £5 can be gotten by dividing £5 by the price of each mango (77 p). We will only pick the whole number part because number of mangoes can only be whole number.
First, we convert £5 to pence:
£1 = 100 pence
=> £5 = 5 * 100 = 500 pence
Hence, the greatest number of mangoes that can be bought is:
500 / 77 = 6.49
Since we are only picking the whole number part, the answer is 6 mangoes.
(b) The price of 6 mangoes is:
6 * 77 = 462 pence
Hence, if you take £5 (500 pence) to the store, your change should be:
500 - 462 = 38 pence
38 pence is the same as £0.38
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van. The equation 2b + 6 = 70 represents the given scenario. What does b represent? the number of buses the number of vans the number of students who rode on each bus the total number of students going to the football game
Answer:
C. the number of students who rode on each bus.
Step-by-step explanation:
Answer:
C.the number of students who rode on each bus
(3x3 - 2x2 - 7x + 6) = (x + 1) synthetic division
Answer:3/2
3x3-2x2-7x+6=x+1(Multiply the numbers)
9-4-7x+6=x-1(Calculate)
11-7x=x-1(Move the terms)
-7x-x=-1-11(Collect like terms&calculate)
-8x=-12(Divide both sides by -8)
x=3/2
Synthetic division is a process used to divide a polynomial by a linear expression. Using a step-by-step process, the polynomial 3x^3 - 2x^2 - 7x + 6 is divided by x + 1. The result is a new polynomial, which represents the quotient and a remainder.
Explanation:Synthetic division is used to divide a polynomial by a linear expression. In this case, we have the polynomial (3x^3 - 2x^2 - 7x + 6) and we want to divide it by (x + 1). Synthetic division follows a specific set of steps:
Write the coefficients of the polynomial in a row: 3, -2, -7, 6. Write the root of the divisor, which is the solution to x + 1 = 0. This root is -1. Drop down the leading coefficient, which is 3 in this case. Multiply the root by the number just brought down, and write the result under the next coefficient. So, (-1)*3 = -3. Add the numbers in that column to get the next number to bring down. (-2) + (-3) = -5. Repeat steps 4 and 5 until all coefficients have been processed.
The numbers at the bottom are the coefficients of the quotient polynomial, and the remainder if any.
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Will mark as brainiest
Answer:
y·cos73°= x
Step-by-step explanation:
To find this, we can begin by looking at the steps to solve this problem. We know that this involved the 'opposite' and 'adjacent' sides, meaning we must use 'cos' in this instance.
We can set up an equation like this:
cos73°= [tex]\frac{x}{y}[/tex].
We can simply rearrange this to form a possible answer choice:
y·cos73°= x.
This is one of the answer choices! That is your final answer.
Answer:
the answer is y·cos73°= x
Step-by-step explanation:
because i looked it up
Is this an expression or an equation?
32 + 8(4)
expression
equation
It is an expression, as an equation has an equal sign on it.
This has no equality property, therefore it is an expression.
In a probability experiment, Karen flipped a coin 92 times. The coin landed on heads 41 times. What percentage of the coin flips resulted in tails? Round to the nearest percent.
Step-by-step explanation:
Step 1: Find the probability of landing on tails
92 - 41 = tails
51 = tails
[tex]\frac{51}{92}[/tex] = probability
0.554... * 100 = probability
55% = probability
Answer: The probability of landing on a tails is 55%
Answer:
55%
Step-by-step explanation:
P(heads) = 41/92
P(tails) = 1 - P(heads)
1 - 41/92
51/92 × 100
55.43478261%
On some other planet, Thor stands on a bridge and throws his hammer at his brother Loki, who is at ground level. The hammer’s height h (in meters above the ground), t seconds after Thor threw it, is modeled by:
Answer:
h(0) = 3600
t=60 when it hits the ground
max height at 4050
at 15 seconds
Step-by-step explanation:
h(t) = -2t^2 + 60t +3600
When it is thrown is t=0
h(0) = -2(0) +60(0) +3600 = 3600
When it hits the ground is h(t) =0
0 = -2t^2 + 60t +3600
Factor out -2
0 = -2 (t^2 -30t -1800)
Divide by -2
0 = (t^2 -30t -1800)
Factor. What 2 numbers multiply to -1800 and add to -30
0 = (t+30) (t-60)
Using the zero product property
t+30 = 0 t-60 =0
t = -30 t = 60
Since we do not have negative time
t=60
The maximum occurs halfway between the zeros
(-30+60)/2 = 30/2 = 15
Put this into the function to find the maximum value
h(15) = -2(15)^2 + 60(15) +3600
= -2 (225) +900+3600
=4050
Answer:
Thrown at: 3600
Ground after: 60
Max height: 4050
After: 15
Step-by-step explanation:
h(t) = -2t² + 60t + 3600
h(0) = 3600
-2t² + 60t + 3600 = 0
t² - 30t - 1800 = 0
t² - 60t + 30t - 1800 = 0
t(t - 60) + 30(t - 60) = 0
(t - 60)(t + 30) = 0
t = 60, -30(not possible)
h(t) = -2t² + 60t + 3600
-2(t² - 30t) + 3600
-2(t² - 2(t)(15) + 15² - 15²) + 3600
-2[(t - 15)² - 225] + 3600
-2(t - 15)² + 450 + 3600
-2(t - 15)² + 4050
Please help the question is attached
chapter 8 q 2
Answer:
x = 15
Step-by-step explanation:
Let the x represents altitude.
Therefore, by geometric mean property:
[tex]x = \sqrt{9 \times 25} \\ x= 3 \times 5 \\ x = 15[/tex]
How many 350 mL cans of coke can be filled from a 20.3 L tank of coke?
Answer:
x = 58
Step-by-step explanation:
We know that,
1 mL = 0.001 L
So, 350 mL = 0.35 L
Let x cans of coke can be filled from a 20.3 L tank of coke. So,
Accoding to question,
[tex]0.35\times x =20.3\\\\x=\dfrac{20.3}{0.35}\\\\x=58[/tex]
So, there are 58 350 mL cans of coke that can be filled from a 20.3 L tank of coke.
how to find volume of 3d objects
Answer:
length x width x height
Step-by-step explanation:
Answer:
Hope this helped stay safe!!
Step-by-step explanation:
To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.
A set of art exam scores are normally distributed with a mean of
81 points and a standard deviation of 10 points. Calvin got a score of 78 on
the exam.
What percentage of exam scores are lower than Calvin's score?
a) 61.79%
b) 65.17%
c) 34.83%
d) 38.21%
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
A una feria asistieron 350 personas de las cuales dos tercios son adolescentes y un cuarto personas adultas y un quinto son los niños de 10 a 12 a qué cantidad corresponde a las personas adultas
Answer:
There are approximately 88 adults.
Step-by-step explanation:
The question is:
A fair was attended by 350 people of which two thirds are adolescents and a quarter adults and a fifth are children from 10 to 12 what amount corresponds to adults .
Solution:
Total number of people attending the fair is, N = 350.
The proportion of adults is: P (Adults) = p = 0.25.
Compute the number of adults in the fair as follows:
[tex]\text{Number of adults in the fair}=N\times p[/tex]
[tex]=350\times 0.25\\\\=87.5\\\\\approx 88[/tex]
Thus, there are approximately 88 adults.
A sociologists was investigating the ages of grandparents of high school students. From a random sample of 10high school students, the sociologist collected data on the current ages, in years, of the students' maternal grandparents. A. One of the sociologist's research questions was about the mean difference in age without regard to which grandparent is older. The interval constructed in part (a) does not address such a question. Based on the sample of high school students, give the value of the point estimate for the mean difference in age that could be used to address the sociologist's question.
Answer:
The answer for (a)(-5.96, 2.36) (b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older
Step-by-step explanation:
Solution
(a) From the information given,
n = 10, d =-1.8, sd = 5.81
The 95% confidence interval for the population mean difference age is computed as follows:
CI =d ±tα/2,n-1 (sd/√n)
= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)
=-1.8± 2.26 (1.84)
= -1.8 ± 4.16
= (-5.96, 2.36)
Now,
There is a 95% confidence that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36
(b) The age difference is calculated as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:
Xd = XGM - XGF
= 69.8 -71.6
=-1.8
Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older
Note: kindly find an attached copy of the complete question and table to this example below.
The mean difference in age between grandparents is calculated by taking the absolute differences between the ages of each pair of grandparents from the sample of students and then averaging those differences.
Explanation:The sociologist's research question about the mean difference in age of grandparents without regard to which one is older requires calculating the absolute difference between the ages of each pair of maternal grandparents for the sample of high school students and then taking the average of those differences. To provide a point estimate for the mean difference in age to address the sociologist's question, let us assume we have the ages of each pair of grandparents for the 10 students. If we denote these age pairs as (G11, G21), (G12, G22), ..., (G110, G210), where G1 and G2 are the ages of the two grandparents for each student, the mean difference in age would be the sum of the absolute differences of these pairs divided by the number of pairs (10 in this case).
Mean Difference = (|G11 - G21| + |G12 - G22| + ... + |G110 - G210|) / 10
Without the actual data, we cannot provide a numerical point estimate, but this is the method that would be used to calculate it.
On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. You total bill before tax was $ 27.2. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water, how much does each item cost
How much does a snack size bag of chips cost?
How much does a bottle of water cost?
How much does a gallon of milk cost?
Answer:
Cost of a snack size bag of chips = $0.8
Cost of a water bottle = $1.6
Cost of a gallon of milk = $3.4
Step-by-step explanation:
Let the cost of water bottle = $a
Cost of 1 gallon milk = $b
and cost of 1 bag of chips = $c
So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)
4b + 6a + 5c = 27.2 -----(1)
Cost of one water bottle = 2 × cost of one bag of chips
a = 2c -----(2)
A gallon of milk = cost of water bottle + $1.80
b = a + 1.8
From equation (2)
b = 2c + 1.8 -----(3)
Now we substitute these values from equations (2) and (3) in equation (1)
4(2c + 1.8) + 6(2c) + 5c = 27.2
8c + 7.2 + 12c + 5c = 27.2
25c = 27.2 - 7.2
c = [tex]\frac{20}{25}[/tex]
c = $0.8
From equation (2)
a = 2×0.8
a = $1.6
From equation (3)
b = 2(0.8) + 1.8
b = 1.6 + 1.8
b = $3.4
Therefore, cost of a snack size bag of chips = $0.8
Cost of a water bottle = $1.6
Cost of a gallon of milk = $3.4
Final answer:
A snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40. This was determined by creating an equation with the given cost relationships and solving for the cost of each item.
Explanation:
The question presents a scenario where a trip to the convenience store involves purchasing 4 gallons of milk, 6 bottles of water, and 5 snack size bags of chips with a total bill of $27.20 before tax. The cost relationships given are: a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water.
Let's denote the cost of a snack size bag of chips as c. Thus, the cost of a bottle of water would be 2c. A gallon of milk would then cost 2c + $1.80.
To find the cost of each item, we can set up an equation based on the total cost:
5c + 6(2c) + 4(2c + $1.80) = $27.20
Solving this equation:
5c + 12c + 8c + $7.20 = $27.20
25c + $7.20 = $27.20
25c = $20
c = $0.80
Therefore, a snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40.
Two rigid transformations are used to map triangle JKL to triangle MNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?
A reflection across the line containing LK
A reflection across the line containing JK
A rotation about point L
A rotation about point K
Answer:
Option C
Step-by-step explanation:
a rotation about point L
Answer:
CStep-by-step explanation:
a rotation about point Lgood luck man get a 100% on
What is the first operation performed in the arithmetic solution and in solving the equation ?
Answer:
Calculating the numbers inside parentheses is first according to the order of operations.
Step-by-step explanation:
Order of operations
What is the first step in solving the following system of equations? 3 x + y = 23. 8 x + 2 y = 23. Substitute the value of y from one equation into the other equation. Solve the first equation for y. Subtract the second equation from the first equation. Substitute the value of x from one equation into the other equation.
Answer:
B
Step-by-step explanation:
Our system of equations is:
3x + y = 23
8x + 2y = 23
If we want to use substitution, that means that we essentially want to manipulate one of the two equations so that one variable (like y) is written in terms of the other (like x), and then substitute that expression into the second equation so that we have one variable and one equation and we can easily solve from there.
So the first thing to be done is to write one of the variables in terms of the other. It would be easiest to do it with the first equation and write y in terms of x - in other words, "solve the first equation for y".
The answer is B.
Answer:
B
Step-by-step explanation:
Solve the first equation for y.
Can someone help me finger out my homework please
Answer:
(1) w = 6.4
(2) w = -67
(3) q = 336
(4) z = -14
(5) x = 9
(6) y = 3
(7) x = 8
(8) x = -16
(9) x = 54
(10) x = 13.5
Step-by-step explanation:
Ik u need it quick so mb for not explaining. Good luck
Answer:
the first one is 6.4 i cant help with others srry im not smart either.
Step-by-step explanation: