Macy measures a truck's tire mark for one complete revolution as 100,48 inches long. What is the diameter of the tire to nearest inch? *

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

40

Step-by-step explanation:

24 feet ÷3/5 =

24/1 × 5/3 =

40

Answer:

a. Maurice walked farther.

b. 0.62 m

Step-by-step explanation:

Maurice

4.1 × 1.8 = 7.38 miles

Junnie

2.5 × 3.2 = 8 miles

This shows that Junnie walked more than Maurice.

8 - 7.38 = 0.62

Junnie walked 0.62 m more than Maurice

Answer:

28

Step-by-step explanation:

28%x250 is equal to 70.

Answer: 20,085

Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.

                               I hope I got this right and if I did it right.

Answer:

C. 18x6y4

Step-by-step explanation:

(9x3y2) * 2

9×2= 18

3×2=6

2×2=4

18x6y4= your answer

Answer:

\(C. \: 18x6y4 \: is \: correct.\)

Step-by-step explanation:

\((9x3y2)2 = 18x6y4\)

Answer:

4096 horses, or 4 to the power of 6

Step-by-step explanation:

(4²)³×4 to the power of 0

We simplify the equation,

(16)³×4 to the power of 0

4096×1 (Since 4 to the power of 0 is 1)

= 4096 horses on the farm which is 4 to the power of 6

- Hope this helps!

Answer:

here

Step-by-step explanation:

I need 5 stars

I don't know why it didn't let me to put the answer so I took a screenshot for you

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

3 and 19

Step-by-step explanation:

The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.

Small number= x= 3

Big number= 4x+7= 12 + 7 = 19

Answer:

= bruv

Step-by-step explanation:

you spelt power wrong too

The general form of a quadratic equation is given by:

y = ax² + bx + c

Use the given values on the table to obtain a system of equations.

for the point (-3 , 0.5):

0.5 = a(-3)² + b(-3) + c

0.5 = 9a - 3b + c (1)

for the point (-2 , 1):

1 = a(-2)² + b(-2) + c

1 = 4a - 2b + c (2)

for the point (0 , 5):

5 = a(0)² + b(0) + c

5 = c

replace c= 5 into the equation (1) and (2) and simplify like terms:

0.5 = 9a - 3b + 5

-4.5 = 9a - 3b (3)

1 = 4a - 2b + 5

-4 = 4a - 2b (4)

multiply the equation (3) by -2 and multiply the equation (4) by 3, then, sum the equations:

9 = -18a + 6b

-12 = 12a - 6b

-3 = -6a

from the previous equation, solve for a:

-3 = -6a

a = 1/2

Next, replace a=1/2 into the equation (4) and solve for b:

-4 = 4a - 2b

-4 = 4(1/2) - 2b

-4 = 2 - 2b

2b = 2 + 4

2b = 6

b = 3

Hence, the values of a, b and c are:

a = 1/2

b = 3

c = 5

Answer: A

because slope are

Answer:

16

Step-by-step explanation:

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Answer:

Answer:

12 m

Step-by-step explanation:

this  is anwer

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Answer: 400

Step-by-step explanation:

Answer:

198.18 is the answer

Step-by-step explanation:

the answer is 198.18

hope it helps

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

Answer:

sorry i just want to get points

If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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\(\boxed{\sf ab+ac=a(b+c)}\)

\(\\ \rm\longmapsto (8\times 5)+(8\times 2)\)

\(\\ \rm\longmapsto 8(5+2)\)

\(\\ \rm\longmapsto 8(7)\)

\(\\ \rm\longmapsto 56\)

The correct interpretation for the statement D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.

From the question, we have the following parameters that can be used in our computation:

The function D gives the depth of the water, in meters, t hours after midnight on a certain day

This means that

D = depth in meters

t = time in hours

From the question, we have

Notation = D(n)

Also, from the question, we have

D'(8) = -0.5

This is the inverse of the function D(t)

So, the values of the parameters are

D(t) = -0.5

t = 8

This means that the number of hours is 8 and the depth is -0.5 meters

Hence, the interpretation of D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.

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Answer: I think it 2,24

Step-by-step explanation:

Given:

-2x + 11 + 6x

To simplify this, collect like terms:

-2x + 6x + 11

= 4x + 11

ANSWER:

B) 4x + 11

Answer:

5

Step-by-step explanation:

The amount paid to vehicle A is less than to vehicle B so, Vehicle A is suitable to purchase based on a monthly payment.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

For vehicle A,

The Principal amount of the car, P = $25000,

The rate of interest, r = 5% = 5/100 = 0.05,

The tenure, n = 60 months = 60/12 = 5 years,

Calculate the amount by the formula given below,

A = P (1 + r)ⁿ

Here A is the amount,

Substitute the values,

A = 25000 (1 + 0.05)⁵,

A = $31907.03

Similarly,  for vehicle b

A = 29000 (1 +0.04)⁶

A = $36694.25

As the amount of vehicle A is less than the of vehicle B Therefore, vehicle A is suitable to buy.

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