A circle with circumference 6 has an arc with a 60° central angle.
What is the length of the arc?

Answer:

well im not sure but i think u multiply 8 times 10 which is 80 which might be the area hope this helps

The distance between the 2 given points is 35 units

Step-by-step explanation:

Step 1 :

Let A be the point  (14, 27) and B be the point  (14, −8).

Distance between any 2 points is obtained by the taking  root of the sum of squares of the difference between the x co ordinates and the y co ordinates and is  given by the formula

[tex]\sqrt({x_{2} - x_{1}) ^{2} + ({y_{2} - y_{1}) ^{2} }[/tex]

Where [tex](x_{1} , y_{1}) and (x_{2} , y_{2})[/tex] are the 2 points

Step 2 :

Using the above formula , we get the distance between the 2 given points as

[tex]\sqrt({14-14)^{2} + {((-8)-27)^{2} }[/tex]  = [tex]\sqrt{(-35)^{2} }[/tex]   = 35 units

Step 3 :

Answer:

The required distance of the 2 given points is 35 units

Answer:

Slope=-6/5

Step-by-step explanation:

Formula for calculating slope is y2-y1/x2-x1

y1=1

y2=-5

x1=-3

x2=2

Apply the above formula

-5-1/2-(-3)

-5-1/2+3

-6/5

Answer: D

The relation represents _y_ as a function of x, because each value of _x_ is associated with a single value of _y_.

Step-by-step explanation:

The relation represents y as a function of x, because each value of x is associated with a single value of y.

We have given

A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).

A function is a relation that describes that there should be only one output for each input.

Here x is the input value and y is the output value of the functions.

A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1)

for the given relation

The relation represents y as a function of x, because each value of x is associated with a single value of y.

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Answer:

8 Newtons

Step-by-step explanation:

Friction and Gravity are both known to be negative forces such as -20 and -14

So doing the math

22 + 20 = 42

42 - 20 = 22

22 - 14 = 8

8 is your answer, hope this helped!

Answer:

8 N to the right.

Step-by-step explanation:

Resolving vertical forces

upwards = 20 N, down = 20 N

- so the Net Force = 0.

Resolving horizontally :

Net force =  22 - 14 = 8 Newtons.

Answer:

Hi I am cool

Step-by-step explanation:

Answer:

Don't you just divided that by 3?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

5x - 7=3

Add 7 to each side

5x -7+7 = 3+7

5x = 10

Divide each side by 5

5x/5 = 10/5

x =2

Answer: 177 months

Step-by-step explanation:

Answer: 177 months

Step-by-step explanation:

Answer:

532m^2

Step-by-step explanation:

Please see the attached pictures for full solution.

Mr. Allen starts with a higher initial amount ($560) compared to Mr. Jessup ($400).

Mr. Allen pays off a larger amount each month ($80) compared to Mr. Jessup ($40).

The initial values and rates of change for Mr. Allen's and Mr. Jessup's payment plans can be compared based on the given information.

1. Initial Values:

  - Mr. Allen's initial amount S: $560

  - Mr. Jessup's initial amount: $400

  Difference in initial values: $560 - $400 = $160

  Mr. Allen's initial value is $160 more than Mr. Jessup's.

2. Rates of Change:

  - Mr. Allen's rate of change: $80 per month

  - Mr. Jessup's rate of change: $40 per month

  The rate of change represents the amount by which the owed amount decreases each month. Mr. Allen's rate of change is greater because he pays off $80 per month, while Mr. Jessup pays off $40 per month.

In summary:

Mr. Allen starts with a higher initial amount ($560) compared to Mr. Jessup ($400).

Mr. Allen pays off a larger amount each month ($80) compared to Mr. Jessup ($40).

Complete question:

Mr. Allen bought a new computer. His monthly payment plan is shown in the table.

Month                                      0        1     2         3        4       5      6     7

Amount Mr. Allen Owes (S)  560 480   400  320   240  160  80    0

Mr. Jessup buys a new computer for $400. He makes monthly payments of $40 until the computer is paid for. Compare the initial values and rates of change of each function.

You can graph both functions to show that the amount Mr. Allen owes starts at $560 and decreases $80 per month. The amount that Mr. Jessup owes starts at $400 and decreases $40 each month.

Mr. Allen's initial value is $160 more than Mr. Jessup's. Mr. Allen's rate of change is greater than Mr. Jessup's rate of change.

To calculate Peter's monthly expenses, add up the amounts in row 5 of the table. Compare the total expenses with different salaries to determine if Peter can meet them. Advise Peter to create a budget and prioritize expenses if he wants to move out.

To calculate Peter's monthly expenses, we need to add up all the amounts in row 5 of the table. Assuming each amount represents a monthly expense, we can sum them up to get the total monthly expenses. To determine if Peter can meet his expenses with different salaries, we compare the total expenses with each salary. If the salary is greater than or equal to the total expenses, Peter can meet his expenses. If the salary is less than the total expenses, Peter cannot meet his expenses.

If Peter wants to move out of his parent's house, I would advise him to create a budget and prioritize his expenses. He should also consider finding ways to increase his income or reduce his expenses to make moving out more affordable.

The test has 35 multiple-choice questions and 3 open-ended questions.

To solve this, we can set up a system of linear equations. Let x represent the number of multiple-choice questions and y represent the number of open-ended questions.

Equation 1: x + y = 38 (total questions)

Equation 2: 4x + 20y = 200 (total points)

By solving this system of equations, we can find the values of x and y. First, multiply equation 1 by 4 and subtract it from equation 2:

4(x + y) = 4(38) => 4x + 4y = 152

4x + 20y = 200 - (4x + 4y = 152) gives: 16y = 48 or y = 3.

Substituting y = 3 into equation 1 gives: x = 38 - 3 = 35.

Therefore, there are 35 multiple-choice questions and 3 open-ended questions on the test.

Answer:

your answer should be 7 1/24

Answer:

b

Step-by-step explanation:

Answer:

$726.34

Step-by-step explanation:

Convert 8.25% to a decimal

8.25/100=0.0825

Multiply the cost by the decimal

670.98*0.0825=53.35585

Add the tax to the cost of the camera

53.35585+670.98=726.33585

Rounded to the nearest cent: 726.34

So, the total cost of the camera is $726.34

Hope this helps!

Answer:726.34

Step-by-step explanation: You have to multiply 670.98 x .0825 and the answer will be around 55. You take that answer and add it to 670.98. There you have to round to the nearest sent and the answer will be 726.335 rounded to 726.34

Answer:

[tex]\frac{337}{100}[/tex]

Step-by-step explanation:

It is given that one cup of cooked spinach contains 337% of the recommended value of vitamin A.

Therefore, vitamin A is present in one cup of cooked spinach by 337%.

Hence, to represent the fraction of the recommended daily value of vitamin A in one cup of cooked spinach, it will be [tex]\frac{337}{100}[/tex]. (Answer)

{Converting the percentage into fraction}

Step-by-step explanation:

Among the three sides of length 9cm,11cm and 13cm;

9cm is the shortest and 13cm is the longest

the shortest of the corresponding i.e 9cm real - life distance= 125 km

Therefore, the longest of the corresponding i.e 13cm real - life distance= 125 ×13/9

= 180.55

= 180.6 km

Answer:

240,000,591÷176= 1363639.72159

Answer:

1,363,639.721590909

Step-by-step explanation:

Answer:

  things are the same as they were

Step-by-step explanation:

"No change" in math means the same thing it does in English. Whatever it is you're looking at is the same now as it was before. It has not changed. The amount of change is zero.

Final answer:

In mathematics, 'no change' refers to a situation where a value or quantity remains constant over time or during certain operations. It can be used in various contexts, including functions, equations, and graphing to represent a static state.

Explanation:

In mathematics, the term 'no change' often refers to a situation where a value remains constant over time or through a particular process. For example, if a quantity does not increase or decrease, we can say that there has been no change in that quantity. Another way this might come up is in functions or equations, where certain operations have no effect on the input value, meaning the output remains the same as the input.

No change could also mean that a variable or a set of variables remains unaffected by certain transformations. In algebra, it might refer to a constant function where, regardless of the input, the output is always the same. No change might also be used in the context of graphing; if a graph stays flat without any increase or decrease, it represents no change in the value being graphed over the specified domain.

Without additional information about the relationship between the two circles, it is not possible to definitively determine the area of circle B based on the area of circle A. If the circles are identical, the area of circle B is also 72 pi.

Given the area of the circle with the centre A is 72 pi, we find the radius using the formula for the area of a circle: A = πr². Therefore, the radius of circle A, rA, can be found by rearranging the formula to rA = √(A/π). This gives us a radius of √(72) = 8.48 units. Without further information about the relationship between circle A and circle B, we cannot definitively determine the area of circle B. If the two circles are identical, then the area of circle B would also be 72 pi. However, if the radius or diameter of circle B is different, you would have to use that measurement to calculate the area using the formula A = πr².

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Option A:

The shortest distance Mark can cover to reach home early is 54.7 miles.

Solution:

Towards North  = 35 miles

Towards West = 42 miles

Using Pythagoras theorem,

In right triangle, squares of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse.

[tex]x^2=35^2+42^2[/tex]

[tex]x^2=1225+1764[/tex]

[tex]x^2=2989[/tex]

Taking square root on both sides, we get

[tex]\sqrt{x^2}=\sqrt {2989}[/tex]

x = 54.67

x = 54.7

The shortest distance Mark can cover to reach home early is 54.7 miles.

Option A is the correct answer.

Answer:

Step-by-step explanation:

(−8* y^2−9*y)+(8*y^3+9*y^2−2*y) 

first, remove extraneous parentheses (or distribute if negative)

=−8* y^2−9*y+8*y^3+9*y^2−2*y  

then group terms in decreasing degree of y (variable)

=+8*y^3 −8* y^2+9*y^2  −9*y−2*y

simply expression by adding/subtracting similar terms

=+8*y^3 +y^2  −11*y

to give the final answer.

The slope of the line is [tex]m=-\frac{3}{7}[/tex]

Explanation:

The points are [tex](-3,1)[/tex] and [tex](4,-2)[/tex]

We need to find the slope of the line that contains the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex]

The slope of the equation can be determined using the formula,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex] in the slope formula, we have,

[tex]m=\frac{-2-1}{4-(-3)}[/tex]

Simplifying the expression, we have,

[tex]m=\frac{-2-1}{4+3}[/tex]

Adding the terms in both numerator and denominator, we have,

[tex]m=\frac{-3}{7}[/tex]

The slope of the line that contains the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex] is [tex]m=-\frac{3}{7}[/tex]

Thus, the slope of the line is [tex]m=-\frac{3}{7}[/tex]

Answer:

1) { 2,3,4,6,8,9,10,12,15} , {2,4,8,10}, { 2,4,8,10}

Step-by-step explanation:

£ = [ 1,2,3,4,6,8,12,16,24 48}

A = { 2,4,6,8,10}

B = { 3,6,9,12,15}

1) AUB = all members in A and B

= { 2,3,4,6,8,9,10,12,15}

2) AnB' = members in A not in B

{2,4,8,10}

3) A - B = take away members of B in A that is B from A

= { 2,4,8,10}

I hope this was helpful, please mark as brainliest

Answer:

5 or 3

Step-by-step explanation:

For the given rectangles, [tex]f=4[/tex] cm and [tex]g = 6[/tex] cm.

Step-by-step explanation:

Step 1:

The area of a rectangle is calculated by multiplying its length with its width. Both the rectangles APQD and PBCQ have the same width.

The second rectangle PBCQ has a length of 9 cm. Its area is determined by subtracting the area of APQD from the area of ABCD.

The area of the rectangle PQBC [tex]= 60 - 24 = 36[/tex] [tex]cm^{2}[/tex].

Step 2:

The length of rectangle PBCQ is 9 cm and the area is 36 [tex]cm^{2}[/tex] so the width can be determined.

[tex]Width = \frac{area}{length} = \frac{36}{9} = 4[/tex] cm. So [tex]f=4[/tex] cm.

Step 3:

The width of the rectangle APQD is also 4cm.

The width of the rectangle APQD is 4 cm and the area is 24 [tex]cm^{2}[/tex].

[tex]length = \frac{area}{width} = \frac{24}{4} = 6[/tex] cm. So [tex]g = 6[/tex] cm.

Answer:

2g + 13

Step-by-step explanation:

Times two plus 13.

Answer:

2g+13

Step-by-step explanation:

Since Greg's score id doubled, you would make it 2g.

More is an addition term, so 13 more signals to adding 13, therefore, your answer is

2g+13

Answer:

becouse the value of the exponential function cant go negative... there is no exponent that makes a number negative if the base is positive..

Step-by-step explanation:

Basic exponential functions have a horizontal asymptote at y = 0 because as the input x increases, the output of the function approaches zero but never touches it due to exponential decay.

Basic exponential functions always have a horizontal asymptote at y = 0 because as the value of x becomes very large, the value of the exponential function approaches zero. This is due to the nature of exponential decay, where the function's rate of change decreases exponentially. Exponential functions are of the form f(x) = a^x, where a is a positive constant different from 1. When a is less than 1, the function represents exponential decay, and as x approaches infinity, f(x) approaches zero, but never actually reaches it, hence creating a horizontal asymptote at y = 0.

Option D:

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Solution:

Given expression is [tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)[/tex].

To find the product of the expression:

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)[/tex]

Multiply each term of the first term with each term of the 2nd term.

           [tex]=y^{2}\left(8 y^{2}+y+1\right) +3 y\left(8 y^{2}+y+1\right) +7\left(8 y^{2}+y+1\right)[/tex]

Using the exponent rule: [tex]a^m \cdot a^n = a^{m+n}[/tex]

           [tex]=\left(8 y^{4}+y^3+y^2\right) +\left(24 y^{3}+3y^2+3y\right) +\left(56 y^{2}+7y+7\right)[/tex]

           [tex]=8 y^{4}+y^3+y^2+24 y^{3}+3y^2+3y+56 y^{2}+7y+7[/tex]

Arrange the terms with same power.

           [tex]=8 y^{4}+y^3+24 y^{3}+y^2+3y^2+56 y^{2}+7y+3y+7[/tex]

           [tex]=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Hence option D is the correct answer.

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]