The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?

- The winning time increased by an average of 0.267 second per year from year 2 to year 4.

- The winning time increased by an average of 0.8 second per year from year 2 to year 4.

- The winning time increased by an average of 0.4 second per year from year 2 to year 4.

- The winning time increased by an average of 0.475 second per year from year 2 to year 4.

Answer:

y = 7 and x =3

Step-by-step explanation:

use elimination method

so we gonna eliminate y first

9x = 1 - 4y

-7x = -7 + 4y

7| 9x = 1 - 4y

9| -7x = -7 + 4y

63x = 7 - 28y

-63x = -63 + 36y

add eqtn 1 to eqtn2

you will get

0 = -56 + 8y

56 = -56 + 56 + 8y

56 = 8y

56÷8 = 8y÷ 8

7 = y

also eliminate x as we have done wth y

4| 9x = 1 - 4y

4| -7x = -7 + 4y

36x = 4 - 16y

-28x = -28 + 16y

add the two equations

u will get

8x = -24 + 0

8x = -24

8x÷8 = 24÷ 8

x = 3

16 model airplanes on his shelf

4 times as many model airplanes as model trains

let's denote the number of model trains as m

So,

m=16×4

m=64

Therefore,there are 64 model trains.

pleasemark me as brainliest answer

Answer:

[tex]y = 4(2^{x} )[/tex]

Step-by-step explanation:

The general form for an exponential function is [tex]y = kb^{x}[/tex]

When x = 2,  y = 16    So, [tex]16 = kb^{2}[/tex]    

and when x = 3,  y = 32    So, [tex]32 = kb^{3}[/tex]

Divide  [tex]\frac{32}{16} = \frac{kb^{3} }{kb^{2} }[/tex]

2 = b

Now, [tex]16 = k2^{2}[/tex]

16 = 4k

k = 4

Therefore, the exponential function is [tex]y = 4(2^{x} )[/tex]

THhe cross product is found by multiplying the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction.

1/4 = 5/20

1 x 20 = 20

4 x 5 = 20

The cross product is 20

Answer:

20

Step-by-step explanation:

1 x 20 = 20

4 x 5 = 20

Hope that helps!

9514 1404 393

Answer:

  p = q/(2 -3q)

Step-by-step explanation:

  [tex]\dfrac{2p}{3p+1}=q \qquad\text{given}\\\\2p=q(3p+1) \qquad\text{multiply by the denominator}\\\\ 2p=3pq+q \qquad\text{eliminate parentheses}\\\\ 2p -3pq = q \qquad\text{subtract $3pq$}\\\\ p(2-3q)=q \qquad\text{factor out $p$}\\\\ \boxed{p=\dfrac{q}{2-3q}} \qquad\text{divide by the coefficient of p}[/tex]

Answer:

196-49 pi

Step-by-step explanation:

diameter of circle is 14

radius-7

7^2=49

49 pi

14^2=area of square

196-49pi= area of shaded area.

Answer:

im pretty sure the area is 196

Step-by-step explanation:

because when finding the area of a rectangle/ square you use the formula Length * Width and as we can see the sides of the shaded are are equivalent and as we know the length of the shaded area is 14.

we would just plug in our information.

L*W

14*14= 196

Answer:

la pregunta está en blanco, ¿podría repetirla?

Step-by-step explanation:

Answer:

m = 5

a = -3

b = -15

Step-by-step explanation:

(m - 2) = 3 for x^2

(2a + 3) = - (m - 2) = (2 - m) for x^1

(b + 6) = (2a - 3) for x^0

Answer:

A. [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

A. [tex]\frac{1}{6^{2} } = \frac{1}{36} = 0.02777[/tex]

B. [tex]6^{-3} = 0.004629[/tex]

C. [tex]\frac{1}{216} = 0.004629[/tex]

D. [tex]\frac{1}{6^{3} } = \frac{1}{216} = 0.004629[/tex]

Answer:

I think it is A because B or D is not it so I was left with A and C. So I am pretty sure that is A.

Answer:

5

Step-by-step explanation:

i took the test

The required length of one side of the given regular pentagon is  5 units.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem

Since the pentagon is regular, all sides are equal, so we can write:

Perimeter = 5 * Length of one side

Substitute in the first expression

50 = (1/2) * 5 * Length of one side * 4

50 = 10 * Length of one side

Length of one side = 5

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

[tex]\frac{h}{h'}=\frac{l}{l'}[/tex]

[tex]\frac{12}{h'}=\frac{6}{1.5}[/tex]

[tex]h'=\frac{12\times 1.5}{6}[/tex]

[tex]h'=3[/tex]ft

Hence, the height of fire hydrant=3 ft

Answer:

ok for the first part of the question This is a 2 part question! Use this information for the open-ended question that follows.

Valery and Manuel ride their bikes 40 miles every Saturday.  Valery rides at an average speed of 9.6 miles per hour (mph).

a) EXACTLY how many hours does it take Valery to ride her bike 40 miles?

ANSWER (A) 4.17

b) Use this graph below to identify what Manuels average speed is:

ANSWER (B) 10 mph

I don't know the open ended question

9514 1404 393

Answer:

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.

Answer:

no tengo suficiente information para responder

Step-by-step explanation:

Step-by-step explanation:

A No because it's 4%

B Yes

C No

D Yes

Answer: n= 5

Step-by-step explanation:

Answer: The width of each flag = 12 cm

The average amount of time it takes Sandra to make each flag =  20 minutes.

Step-by-step explanation:

Given: The ratio of the length to the width the official german flag is 5:3.

Let length = 5x, width = 3x

Length of each flag = 20 cm

i.e. [tex]5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}[/tex]

Then width of each flag = 3 x 4 = 12 cm

i.e. width of each flag = 12 cm

Total time to make 12 flags = 4 hours

Time taken to make 1 flag = [tex]\dfrac{4}{12}[/tex] hour

Time taken to make 1 flag = [tex]\dfrac{1}{3}[/tex] hour

1 hour = 60 minutes

Time taken to make 1 flag = [tex]\dfrac{1}{3}\times60[/tex] minutes = 20 minutes.

Hence, the average amount of time it takes Sandra to make each flag =  20 minutes.

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

Answer:

Mga madlang pipol. The answer is graph 2

Answer:

I think its 1200 not sure though

Answer:

1,200

Step-by-step explanation:

first you would divide 480 copies by 4 minutes to see how many copies per minute (120) Then you would take 120 copies per minute and multiply it by the 10 and you would get 1200 copies per 10 minutes! lmk if that helps:)

Answer:

2.50x+80>4.00

Step-by-step explanation:

Step-by-step explanation:

5³×1/5⁵

5×5×5×1/5×1/5×1/5×1/5×1/5

=1/25

or

1/5²

Answer:

32°

Step-by-step explanation:

All triangles must have a sum of 180°. Given the angle 58° and since this is a right triangle, we have 2 out of the 3 angles to work with.

90 + 58 + x = 180

x = 32

Answer:

C-5m

Step-by-step explanation:

Answer:

answer is ( b )

Answer:

(√y)3

Step-by-step explanation: