Fast forward a few years...and suppose you need to get your car repaired. You see the ads above. Your father, who knows a bit about cars, says it will probably take 3 hours to fix your car. How do you determine where you should take your car to get it repaired?1. Write an equation for each repair shop to represent the total cost of the car repair as a function of the number of hours worked.Let x = number of hours worked Let y = total cost to you

Answers

Answer 1

Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired

-Mike Cost:: M(3) = 100 +65*3 = $295

-Amy Cost:: A(3) = 40 + 80*3 = $280

------------------------------------------------------------

-Mike charges 100 dollars service charge plus 65 dollars per hour.

-Amy charges 40 dollars service charge plus 80 dollars per hour.

-The cost to repair from mike is 100 + 65 * x.

-The cost to repair from amy is 40 + 80 * x.

------------------------------------------------------------

Let x = 3 and you get:

The cost to repair from mike is 100 + 65 * 3 = 295 dollars.

The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.

As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.


Related Questions

Point A(7, 3) is translated to A prime (16, negative 9). Which rule describes the translation? (x, y) right-arrow (x minus 9, y minus 12) (x, y) right-arrow (x minus 9, y + 12) (x, y) right-arrow (x + 9, y + 12) (x, y) right-arrow (x + 9, y minus 12)

Answers

Answer:

[tex](x,y) -----> (x+9,y-12)[/tex]

Step-by-step explanation:

we know that

[tex]A(7, 3) ----> A'(16,-9)[/tex]

The rule of the translation is equal to

[tex](x,y) -----> (x+a,y+b)[/tex]

Find the values of a and b

[tex](7,3) -----> (7+a,3+b)[/tex]

we have that

[tex]7+a=16[/tex] ----> [tex]a=16-7=9[/tex]

[tex]3+b=-9[/tex] ---->[tex]b=-9-3=-12[/tex]

substitute the values of a and b

[tex](x,y) -----> (x+9,y-12)[/tex]

That means----> The translation is 9 units right and 12 units down

Answer:

Option D:

(x, y) -> (x + 9, y minus 12)

Step-by-step explanation: Honestly all people want are the answers so I don't really care to write an explanation.

I need help please and thank you

Answers

A = 45°
The angels of a triangle always add up to 180°, there is a right angle and an angle of 45°. To find A subtract 90 and 45 from 180.
180 - 135 = 45

The weight of meteorite A is 9 times the weight of meteorite B. If the sum of their weights is 220 ​tons, find the weight of each.

Answers

220 divided by 10 = 22 b=22 a=198

Answer:

A is 198

B is 22

Step-by-step explanation:

22 × 9 = 198

22 + 198 = 220

If you have 3 quarters, 5 dimes, and 2 nickels in
your pocket what is the probability you will pick a
dime and then a quarter without putting the dime
back in your pocket?

Answers

Answer:

Step-by-step explanation:

No. Of quarters n(Q)= 3

No. Of dimes n(D) = 5

No. Of nickels n(N) = 2

Total T = 3+5+2 = 10

Prob(D) = n(D)/T = 5/10 = 1/2

Now there are 9 left since it is not replaced back

Prob(Q) = 3/9 = 1/3

Prob(D and Q) = 1/2 × 1/3 = 1/6

The probability you will pick a dime and then a quarter without putting the dime back in your pocket is 1/6

What is probability?

Probability is the likelihood or chance that an event will occur

If you have 3 quarters, 5 dimes, and 2 nickels in your pocket, the total coins you have will be:

Total outcome = 3 + 5 + 2

Total outcome = 10

Probability of picking a dime = 5/10 = 1/2
Probability of picking a quarter = 3/9 = 1/3

Pr( a dime and then a quarter without putting the dime back in your pocket) = 1/2 * 1/3 = 1/6

Hence the probability you will pick a dime and then a quarter without putting the dime back in your pocket is 1/6

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AGAIN this is the like the 5th time trying to get an answer and I am so tired and I just want to sleep but I have to finish this so please can someone help me with this 7th grade math homework

Answers

For the one with the pattern: the next three terms are -16, -21, -26. Describe by saying it subtracts 5 each time.
The one with the gallons: 46.20/12=3.85 so the answer is B.
That’s all I know I’m so sorry I hope i helped tho! Get a good rest. The struggle is real!

Solve y=4x+8x for x

Answers

Answer:

x = y/12

Step-by-step explanation:

Two students are asked to come to the board to work a math problem. Each student could work an easy question (E) or a hard question (H). Drag and drop the letters to show all the possible outcomes for the students' choices. List the first student's choice followed by the second student's choice.

Answers

Answer:

E

Step-by-step explanation:

How do the values of the 4s in 64.723 and 9.048 compare? Select from the drop-down menu to correctly complete the statement. The value of the 4 in 64.723 is times the value of the 4 in 9.048. choose 10 100 1,000

Answers

Answer:

Dividing 4 × 1  by 4 × 0.01 = [tex]\dfrac{ 4 \times 1}{4 \times 0.01}[/tex] = 100

Step-by-step explanation:

i) the value of 4 in 64.723 is given by 4 × 1 = 4, because 4 is the one's place

ii) the value of 4 in 9.048 is is given by 4 × 0.01 = [tex]\dfrac{4}{100}[/tex] = 0.04, because 4 is in the hundredth's place

iii) the value of 4 in 64.723 is 100 times the value of 4 in 9.048 which we get by dividing 4 × 1  by 4 × 0.01 = [tex]\dfrac{ 4 \times 1}{4 \times 0.01}[/tex] = 100

Answer:

100

Step-by-step explanation:

Javier bought a microwave for $105.The cost was 30% off the original price.what was the price of the microwave before the sale

Answers

Answer:

$ 150

Step-by-step explanation:

Given:

Cost price of a microwave = $105

Discount % = 30

Question asked:

what was the price of the microwave before sale = ?

Solution:

Let the price of the microwave before sale = [tex]x[/tex]

Price before sale - 30 % discount = cost price of  microwave (by Javier)

[tex]x - 30\% of x = 105[/tex]

[tex]x - \frac{30x}{100} = 105[/tex]

[tex]\frac{70x}{100} = 105\\[/tex]

Multiplying both side by 100

[tex]70x = 105 \times 100[/tex]

[tex]70x = 10500[/tex]

Dividing both side by 70

[tex]x = \frac{10500}{70} \\x = 150[/tex]

x = price of the microwave before sale = $ 150

Thus, price of the microwave before the sale = $150

Please help! An angle measuring 3.5 radians is equal to which of the angle measures given below? (Use 3.4 for pi). Check ALL that apply.

A) 630 degrees
B) 200.64 degrees
C) 200 degrees 38'24"
D) 210 degrees

Answers

The measure of the angle is;

200.64 degreesB

200 degrees 38' 24" C

Step-by-step explanation:

To convert the measure of an angle from degrees to radians or from radians to degrees use these rules

If the measure of the angle is x°, then multiply it by [tex]\frac{\pi }{180}[/tex] to find its measure in radiansIf the measure of the angle is x radians, then multiply it by [tex]\frac{180}{\pi }[/tex] to find its measure in degrees

∵ The measure of an angle is 3.5 radians

- We need to change its measure to degree, use the 2nd rule

∵ π = 3.14

∴ Its measure in degree = [tex](3.5).(\frac{180}{3.14})[/tex]

∴ Its measure in degree = 200.64°

To find its measure in degree, minutes and seconds, multiply the number before decimal point by 60 to find the number of minutes

∵ 1° = 60'

∵ 0.64 × 60 = 38.4

- That means the number of minutes is 38

∵ 1' = 60"

∵ 0.4 × 60 = 24

- That means the number of seconds is 24

∴ The measure of the angle is 200° 38' 24"

The measure of the angle is;

200.64 degrees

200 degrees 38' 24"

Learn more:

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What is an equation that passes through the points (3,8) and (1,0)

Answers

Answer:

y=4x-4

Step-by-step explanation:

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

m=(0-8)/(1-3)

m=-8/-2

m=4

y-y1=m(x-x1)

y-8=4(x-3)

y=4x-12+8

y=4x-4

Answer:y - 4x + 4 = 0

Step-by-step explanation: Formula for equation of a line passing through two coordinates is

y - y₁                 y₂ - y₁

______  =       ______

x - x₁                  x₂ - x₁

Therefore,            y₂ -y₁                                                                                                  

        y - y₁      =      ____      ×    ( x - x₁ )

                             x₂ - x₁

where x₁ =3, y₁ =8, x₂ = 1 and y₂ 0

Now substitute for the value

y - 8 = 0 - 8

         ______    x     ( x - 3 )

           1 - 3

Therefore y - 8 = -8/-2 × (x - 3 )

y - 8 = -8/-2 × (x - 3)

y -8 = 4 × (x - 3 )

y - 8 = 4( x - 3 )

y - 8 = 4x - 12, when the brackets are open,

So y = 4x - 12 + 8

    y = 4x - 4

Therefore the equation of the line is

y - 4x + 4 = 0

         

Consider the following piece-wise function. Which of the below correctly describes the graph shown?

Answers

Answer:

C

Step-by-step explanation:

The function is formed of 2 straight lines

The equation of a straight line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (2, - 2) ← endpoints of left line

m = [tex]\frac{-2+5}{2+4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = [tex]\frac{1}{2}[/tex] x - 3 for x <  2 ( arrow on line points left )

Repeat

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (3, 1) ← 2 points on right line

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

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 1), then

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = 3x - 8 for x ≥ 2 ( arrow on line points right )

pls HELP ive been trying to figure this out forever!!!

The solution set for -18 < 5 x - 3 is _____.


a. -3 < x

b. 3 < x

c. -3 > x

d. 3 > x

Answers

Answer:

I think is B .3 < x

hope it helps!

Answer:

-3< X is the correct answer. sorry if i'm to late:(

Step-by-step explanation:

Ronnie's dog eats 1/2 of a pound of food each day. Ronnie has a bag containing 4 1/2 pounds of dog food. How many days will the bag feed Ronnie's dog?

Answers

It would take the dog 9 days.
The dog eats four pounds after 8 because 4•2=8 and add 1 for the extra half.

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”

Answers

Answer:

1. Translation 5 units to the left and 1 unit down

2. Reflection across the x-axis

Step-by-step explanation:

Triangle XYZ has its vertices at points X(-6,2), Y(-4,7) and Z(-2,2).

1. Translate triangle XYZ 5 units to the left and 1 unit down. This translation has the rule:

[tex](x,y)\rightarrow (x-5,y-1)[/tex]

Then

[tex]X(-6,2)\rightarrow X'(-11,1);[/tex]

[tex]Y(-4,7)\rightarrow Y'(-9,6);[/tex]

[tex]Z(-2,2)\rightarrow Z'(-7,1).[/tex]

2. Reflect triangle X'Y'Z' across the x-axis. This reflection has the rule:

[tex](x,y)\rightarrow (x,-y)[/tex]

Then

[tex]X'(-11,1)\rightarrow X''(-11,-1);[/tex]

[tex]Y'(-9,6)\rightarrow Y''(-9,-6);[/tex]

[tex]Z'(-7,1)\rightarrow Z''(-7,-1)[/tex]

These points are exactly the vertices of the triangle X''Y''Z''.

Final answer:

The sequence of transformations is translation, rotation, reflection, and dilation.

Explanation:

The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is:

Translation: Move the triangle in a linear direction without rotating it.

Rotation: Rotate the triangle about a fixed point or axis.

Reflection: Mirror the triangle across a line known as the axis of reflection.

Dilation: Increase or decrease the size of the triangle while preserving its shape.

By applying these transformations in the specified sequence, triangle XYZ can be mapped onto triangle X"Y"Z".

52 is 0.4% of what number?

Answers

I believe 20 but I’m not sure

The price of a movie ticket increased from $25 to $30 What does this mean about the new price?
Choose the correct answer below
O A. The new price is 80% of the old price because 25-30 s 8. or 80%
OB. The new price is 80% of the old price because the price decreases by 20%, which is subtracted from 100%
OC. The new price is 125% of the old price because the price increases by $5, which is multiplied by the original price 5x 25 = 125%
O D. The new price is 20% of the old price because the price increases by 55 and 55 is 20% of $25
OE. The new price is 120% of the old price because the price increases by 20%, which is added to 100%
O F. The new price is 750% of the old price because 25 x 30 = 750

Answers

OE. The new price is 120%

The correct option will the new price is 120% of the old one because the price increases by 20%, which is added to 100%.

What is percent of change?

Percent of change is determined by the difference between the two values divided by the orginal one, then multiplied by 100.

i.e. percent of change=(change in value/original value)*100

So according to the asked question,

old value of the shoes=$25

new value of the shoes=$30

change in value=30-25=$5

percent of change=((30-25)/25)*100=20%

hence price increases by 20%.

If the old price is 100 and price increases by 20% then new price will be 120.

So the new price is 120% of the old one.

in another way we can calculate that

old value*x%=new value

⇒old value*x/100=new value

⇒x=new value*100/old value=30*100/25=120%

Therefore the new price is 120% of the old one because the price increases by 20%, which is added to 100%.

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Which pair of segments in the figures below are congruent?
AB and JK
AB and PN
BC and MN
BC and PN

Answers

Answer:

D.BC and Pn are corgruent.

Step-by-step explanation:

Pair of segments in the figures that are congruent : BC and PN.

What is congruence?

In geometry, congruent means identical in shape and size. Congruence can be applied to line segments, angles, and figures. Any two line segments are said to be congruent if they are equal in length.

Given in the figure,

Two polygons ABCDEF and JKLMNP

where

AB≅MN

BC≅PN

CD≅PJ

DE≅JK

EF≅KL

FA≅LM

Hence, BC and PN is the pair of segments in the figures that are congruent.

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Rewrite the equation by completing the square.
4x^2 + 28x + 49=0

Answers

Answer:

[tex]4(x+3.5)^{2}=0[/tex]

Step-by-step explanation:

we have

[tex]4x^{2}+28x+49=0[/tex]

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](4x^{2}+28x)=-49[/tex]

step 2

Factor the leading coefficient

[tex]4(x^{2}+7x)=-49[/tex]

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]4(x^{2}+7x+3.5^2)=-49+(3.5^2)(4)[/tex]

[tex]4(x^{2}+7x+12.25)=0[/tex]

step 4

Rewrite as perfect squares

[tex]4(x+3.5)^{2}=0[/tex]

The equation by completing the square is [tex]\[ (x + \frac{7}{2})^2 = 0 \].[/tex]

To complete the square for the quadratic equation [tex]\(4x^2 + 28x + 49 = 0\)[/tex], we need to follow these steps:

Divide the entire equation by the coefficient of [tex]\(x^2\)[/tex] to make it equal to 1. This gives us:

[tex]\[ x^2 + 7x + \frac{49}{4} = 0 \][/tex]

Next, we need to find the value to complete the square. This is done by taking half of the coefficient of [tex]\(x\)[/tex], which is [tex]\(\frac{7}{2}\)[/tex], and squaring it:

[tex]\[ \left(\frac{7}{2}\right)^2 = \frac{49}{4} \][/tex]

We add and subtract this value to the equation to complete the square:

[tex]\[ x^2 + 7x + \frac{49}{4} - \frac{49}{4} + \frac{49}{4} = 0 \][/tex]

Now, we can rewrite the equation as a perfect square trinomial and a constant:

[tex]\[ (x + \frac{7}{2})^2 - \frac{49}{4} + \frac{49}{4} = 0 \][/tex]

Simplify the equation by combining the constants:

[tex]\[ (x + \frac{7}{2})^2 = 0 \][/tex]

Odette plants basil from seed and each day measures the height of the plants compared to the soil line. She records her measurements in a scatter plot. Odette calculates the equation of the least squares regression line: Predicted Height = 0.32 • Days in Soil – 1.72 Use the drop-down menus to complete the statements below about what this linear model tells you about the height of a basil plant.

Answers

Answer:

The slope of the least squares regression line is:

0.32

The units of the slope of the line are:

centimeters per day.

The slope of the line tells you that for each new day you can predict that a plant's height will increase by about 0.32 centimeters.

The y-intercept of the least square regression line is:

-1.72

The units of the y-intercept of the line are:

centimeters.

The y intercept:

Typical height compared to the soil line.

Step-by-step explanation:

Point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12). Point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4). What is the measure of JK?

Answers

Answer:

1 unit

Step-by-step explanation:

If point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12), then its coordinates are

[tex]x_J=\dfrac{x_F+x_G}{2}=\dfrac{1+5}{2}=3\\ \\y_J=\dfrac{y_F+y_G}{2}=\dfrac{4+12}{2}=8[/tex]

If point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4), then its coordinates are

[tex]x_K=\dfrac{x_G+x_H}{2}=\dfrac{5+(-1)}{2}=2\\ \\y_K=\dfrac{y_G+y_H}{2}=\dfrac{12+4}{2}=8[/tex]

The measure of JK is

[tex]JK=\sqrt{(3-2)^2+(8-8)^2}=\sqrt{1^2+0^2}=1\ unit[/tex]

Final answer:

Given the coordinates of their endpoints, you find that the points of interest, J and K, have coordinates J(3,8) and K(2,8), respectively. You can then apply the distance formula to find the distance between these two points, resulting in 1.

Explanation:

To find the distance between two points, we can apply the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Given that J is the midpoint of FG, the coordinates of J can be found using the midpoint formula ((x1 + x2) / 2, (y1 + y2) / 2). By applying this formula, we find that J = ((1 + 5) / 2, (4 + 12) / 2) = (3,8).

Similarly, the coordinates of K, as the midpoint of GH, are K = ((5 + (-1)) / 2, (12 + 4) / 2) = (2,8).

Now we can plug the coordinates of J and K into the distance formula to find JK: d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((2 - 3)^2 + (8 - 8)^2) = sqrt((1)^2 + 0) = sqrt(1) = 1.

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Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.

What is the greatest possible whole-number length of the unknown side?

Answers

The greatest whole possible whole number length of the unknown side is 9 inches

Solution:

Two sides of an acute triangle measure 5 inches and 8 inches

The length of the longest side is unknown

We have to find the length of unknown side

The longest side of any triangle is a hypotenuse

For a acute triangle we know:

If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

[tex]c^2<a^2+b^2[/tex]

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

[tex]c^2< 5^2+8^2\\\\c^2 < 25 + 64\\\\c^2 < 89\\\\c < 9.4[/tex]

On rounding to nearest whole number,

c < 9

Hence, to the greatest whole possible whole number length of the unknown side is 9 inches

Answer:

The greatest whole possible whole number length of the unknown side is 9 inches

Step-by-step explanation:

If the volume of the crystal ball is about 113 14 cm", the radius of the ball is approximately 3 cm. (Use = 7.)
If the vacant space inside the box were filled with spray foam, the approximate volume of foam required would be___
cm^3.

Answers

Answer:

The volume of required foam is 0.1 cm³  

Step-by-step explanation:

Given as :

The volume of box = v = 113.14 cm³

The radius of the crystal ball = r = 3 cm

Let The volume of required foam = V cm³

According to question

Volume of  crystal ball = [tex]\dfrac{4}{3}[/tex] × π × radius³                        where π = 3.14

i.e Volume of ball = [tex]\dfrac{4}{3}[/tex] × π × 3³

Or, Volume of ball = [tex]\dfrac{4}{3}[/tex] × π × 27

Or, Volume of ball = [tex]\dfrac{4}{3}[/tex] × 3.14 × 27

Or, Volume of ball = 4 × 3.14 × 9

Or, Volume of ball = 113.04 cm³

Again

volume of crystal ball = v' = 113.04 cm³

So ,  The volume of required foam = volume of box - volume of crystal ball

Or, V =  v - v'

Or, V = 113.14 cm³ -  113.04 cm³

  V = 0.1 cm³

So, The volume of required foam = V = 0.1 cm³

Hence, The volume of required foam is 0.1 cm³  . Answer

Answer:

B and B for plato

Step-by-step explanation:

Changing all of the values in a data set in the same way is called transmitting
the data.
O A. True
O B. False

Answers

the answer is “B” i think

Answer:

It’s FALSE

Step-by-step explanation:

Solve by elimination. 4x=14-3y 3x-3y=11

Answers

Solving by elimination...

4x=14-3y ---> 12x=42-9y

               ×3

3x-3y=11 ----> 12x-12y=44

               ×4

  12x=42-9y

-(12x-12y=44)

--------------------

12y=-2-9y

21y=-2

y=-2/21

3x-3(-2/21)=11

3x+2/7=11

3x=10 5/7

x=25/7

Answer:

4x=14-3y 3x-3y=11

Step-by-step explanation:

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today. asking for khan

Answers

Final answer:

The function to calculate the number of illiterate people in Sylvania t years from today is P(t) = 9000 * (3/5)^t.

Explanation:

To write a function that gives the number of illiterate people in Sylvania, P(t), t years from today, we can use the following formula:

P(t) = 9000 * (3/5)^t

This formula represents the reduction in the number of illiterate people by 3/5 each year. To calculate the number of illiterate people t years from today, we multiply the initial number of illiterate people (9000) by the reduction factor (3/5) raised to the power of t.

Answer: 9000( 1 - 3/5 ) ^t

Sum of first 1000 consecutive odd counting numbers

Answers

Answer:

100,000,000

Step-by-step explanation:

did some research to solve this one, i recommend looking more into to it to ensure that this is the correct answer ;)

The sum of the first 1000 consecutive odd counting numbers is 1,000,000.

To find the sum of the first 1000 consecutive odd counting numbers, we need to recognize a pattern and utilize a simple formula.

Step 1: Identify the Sequence of Odd Numbers

The first few odd counting numbers are:

1, 3, 5, 7, 9, 11, 13, ...

Step 2: Determine the Formula for the Sum

The sum of the first n odd counting numbers can be calculated using the formula:

Sum = n²

This means that the sum of the first n consecutive odd numbers is equal to the square of n.

Step 3: Apply the Formula to Our Problem

In this case, we want to find the sum of the first 1000 odd numbers. Therefore, we set n to 1000:

Sum = 1000²

Step 4: Calculate the Value

Now, we perform the calculation:

Sum = 1000 * 1000 = 1,000,000

Match each three-dimensional figure to its volume based on the given dimensions. (Assume T = 3.14.)
a right cylinder with radius 4 cm
and height 3 cm
314 cu cm
a cone with radius 5 cm and
height 12 cm
160 cu cm
a pyramid with base area
16 sq cm and height 30 cm
48 cu cm
a pyramid with a square base of
length 3 cm and height 16 cm
150.72 cu cm

Answers

A right circular cylinder with radius 4 cm and height 3 cm-150.72 cu cm

A cone with radius 5cm and height 12 cm-314 cu cm

A pyramid with base area 16 sq cm and height 30 cm-160 cu cm

A pyramid with a square base of length 3 cm and height 16 cm-48 cu cm

Explanation

volume of cylinder=[tex]\pi r^2h[/tex][tex]3.14*4^2*3=150.72[/tex] cu cm

volume of cone=[tex]1/3 \pi r^2 h[/tex]=314 cu cm

volume of pyramid=[tex](base area*height)/3=(16*30)/3[/tex]=160 cu cm

volume of pyramid=

=[tex](base area*height)/3\\square base length=3 cm\\base area=a^2 =3^2 =9\\volume=(9*16)/3=48cm^3[/tex]

Are 4(3y-2) and 12y-8 equivalent

Answers

Answer:

Yes! 4(3y-2)=12y-8

Answer:

yes 4(3y - 2) = (12y - 8)

Step-by-step explanation:

because if you should expand 4(3y - 2) by multiplying each value within the bracket by 4, you will have 12y - 8

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A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

What is the domain of the function shown in the mapping

Answers

Answer:

Step-by-step explanation:

(-3,-9) , (2,-6), (-5,4), (1,2), (6,0)

the domain is gonna be ur x values

so the domain of this function is [ -5,-3,1,2,6] <==

** the domain is ur x values and the range is ur y values

Answer: -1

Step-by-step explanation:

i just answered if off of edg.

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