Evaluate. Write your answer as a fraction in simplest form.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

[tex]London = (4,6)[/tex]

[tex]Warsaw = (20,10)[/tex]

This points will be represented as:

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (20,10)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{10 - 6}{20 - 4}[/tex]

[tex]m = \frac{4}{16}[/tex]

Simplify

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = \frac{1}{4}(x - 4) + 6[/tex]

Open bracket

[tex]y = \frac{1}{4}x - 1 + 6[/tex]

[tex]y = \frac{1}{4}x +5[/tex]

Apply the above steps in the original question

Answer:

V ≈ 263.9 units³

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here r = 6 and h = 7 , then

V = [tex]\frac{1}{3}[/tex] π × 6² × 7

   = [tex]\frac{1}{3}[/tex]π × 36 × 7

   = [tex]\frac{1}{3}[/tex]π × 252

   = 84 π

   ≈ 263.9 units³ ( to 1 dec. place )

Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Answer:

3750

Step-by-step explanation:

Let the tank contain x gallons of water.

when pumping is done, then tank 1 contain x-2500 gallons

and tank 2 contain x+2500 gallons.

according to question,

5(x - 2500) = x + 2500

or, 5x -12500 =x+ 2500

or, 5x - x =2500+12500

or, 4x =15000

or, x= 3750

hence each tank contains 3750 gallons.

Answer:

The answers to your questions are given below

Step-by-step explanation:

A. 3 × 9 = 27

B. 2 × 3 × 9 = 54

Next, we shall determine which option will give the same result obtained above.

9 × 3 = 27

9 × 3 × 2 = 54

3 × (4 + 5) = 3 × 9 = 27

(2 × 3) × 9 = 6 × 9 = 54

Therefore,

3 × 9 = 27

9 × 3 = 27

3 × (4 + 5) = 27

2 × 3 × 9 = 54

9 × 3 × 2 = 54

(2 × 3) × 9 = 54

SUMMARY

3 × 9 >>>>>>>>> 2 × 3 × 9

9 × 3 >>>>>>>>> 9 × 3 × 2

3 × (4 + 5) >>>>> (2 × 3) × 9

Answer:

it is x3-5

Step-by-step explanation:

start by multiplying linth times with times hight

Answer:

Are you sure the question is right?

Answer: 21

Step-by-step explanation:

Answer:

The line equation is x=3 because the line covers all of the possible y values within the coordinate x=3.

Answer:

b = 30°

Step-by-step explanation:

a + b + 90° = 180°

60° + 90° + b = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

Answer:

Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )

Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3  (Divide both sides by -3)

x=−6

Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

y=1  (Simplify both sides of the equation)

Answer:

x=−6 and y=1

Given:

In a right angle triangle θ is an acute angle and [tex]\tan\theta =\dfrac{3}{5}[/tex].

To find:

The value of [tex]\cos \theta[/tex].

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

We have,

[tex]\tan\theta =\dfrac{3}{5}[/tex]

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

[tex]Hypotenuse=\sqrt{Perpendicular^2+base^2}[/tex]

[tex]Hypotenuse=\sqrt{(3x)^2+(5x)^2}[/tex]

[tex]Hypotenuse=\sqrt{9x^2+25x^2}[/tex]

[tex]Hypotenuse=\sqrt{34x^2}[/tex]

[tex]Hypotenuse=x\sqrt{34}[/tex]

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos \theta=\dfrac{5x}{x\sqrt{34}}[/tex]

[tex]\cos \theta=\dfrac{5}{\sqrt{34}}[/tex]

Therefore, the value of [tex]\cos \theta[/tex] is [tex]\dfrac{5}{\sqrt{34}}[/tex].

Answer:

form x = 6 ± √14

Step-by-step explanation:

I used mw so I'm sorry if worng

Answer:

This will explain it

Step-by-step explanation:

To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.

Spent so far:

... 273.98 + 3×7.23 +42.36 = 338.03

Remaining available funds:

... 500.00 -338.03 = 161.97

The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.

Mr. Traeger can buy two (2) cycling outfits with the remaining money.

_____

The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.

Answer: 240

Step-by-step explanation:

Given

Shop has 12 types of bagels, 10 types of cream and a option for roast

For making a bagel there are 12 choices to select a bagel, following this there are 10 choices for cream with a option to roast

So, total no different bagels that can be made out of the given is

[tex]\Rightarrow 12\times 10\times 2\\\Rightarrow 240\ \text{types}[/tex]

Answer:

the 2nd

Step-by-step explanation:

linear just means line :)

Answer: 15.64

Step-by-step explanation:

kahn

=============================================================

Explanation:

"The green parallelogram is a dilation of the black parallelogram"

This tells us that the preimage is the black parallelogram and the image is the green one.

In short, the mapping is [tex]\text{black} \to \text{green}[/tex]

The image is smaller than the preimage (green is smaller than black), indicating the scale factor is some value of k such that 0 < k < 1. We can rule out choices C and D because of this.

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

Measuring along the top, we can see that the black parallelogram goes from x = -6 to x = 8. Check out the image shown below where I've marked your given diagram, adding on helpful lines to show this going on.

The number-line distance from x = -6 to x = 8 is 14 units, so the top side of the black parallelogram is 14 units long.

The corresponding top side of the green parallelogram is 7 units long (because it spans from x = -3 and x = 4; as shown in blue in the figure below).

Divide the image length over its corresponding preimage length to get the scale factor.

scale factor = (image length)/(preimage length)

scale factor = 7/14

scale factor = 1/2

which points to choice B as our final answer.

Answer:

THE ANSWER IS C)2

Step-by-step explanation:

I GOT IT WRONG CUZ THIS DUDE ABOVE MEEE

(im big mad)

Answer:

Mean

Step-by-step explanation:

I said mean because it would allow both Carl and Tamera to average their scores and compare one side by side rather than comparing 6 each which would just be time consuming and it seems like it wouldn't be any other choices.

Answer:

5 cupcakes per box

Step-by-step explanation:

45 ÷ 9 = 5

:)

Answer:

45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!!  9 x 5 is equal to 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

g(f(4)) = 41

Step-by-step explanation:

Evaluate f(4) then substitute the value obtained into g(x)

f(4) = 4² + 4 = 16 + 4 = 20, then

g(20) = 2(20) + 1 = 40 + 1 = 41

That is g(f(4)) = 41