A pine tree measured 40 1 / 2 feet tall. Over the next 7 1 / 2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was the average yearly growth rate of the height of the tree?

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.

[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,

[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and

Multiply on top: 1 × 1 × 1 = 1

Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64

Hence, [tex]\frac{1}{64}[/tex]  is the product or simplified form.

Another way:

[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]\left(\frac{1}{4}\right)^3[/tex]

[tex]=\frac{1^3}{4^3}[/tex]

[tex]1^3=1[/tex]

[tex]=\frac{1}{4^3}[/tex]

[tex]4^3=64[/tex]

[tex]=\frac{1}{64}[/tex]

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).

Answer:

768

Step-by-step explanation:

16x48= 768

Answer:

768

Step-by-step explanation:

you multiply 16 times 48 to find the weekly wage

Answer:

  y = 1/2x +7/2

Step-by-step explanation:

The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...

  m = rise/run = 2/4 = 1/2

The value of the y-intercept can be found from

  b = y -mx . . . . . . where (x, y) is a point on the line

Using the point (-1, 3), we find the y-intercept to be ...

  b = 3 -(1/2)(-1) = 3 1/2 = 7/2

Then the slope-intercept equation is ...

  y = mx +b

  y = 1/2x +7/2

Answer:

24

Step-by-step explanation:

Answer:

i think it is 0.7 correct me if i am wrong i am in the 6th grade

Step-by-step explanation:

Answer:

y=3/4x

Step-by-step explanation:

From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.

Hope that helps

Answer:

54

Step-by-step explanation:

okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30  and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers  then that's your answer

Answer:

can you give more context to the question and I will answer it in the comments? thanks!

Answer:

Slope-intercept form y=10x-37

Point slope form y-3=10(x-4)

Step-by-step explanation:

= 60

( i dont know how to explain it , to many steps lol :3)

Answer:

the answer is 4

Step-by-step explanation:

if y=21 the we substitute in the main equation

21=8x-11

8x=32

x=4

Answer:

Slope: -1/4x

y-int: 2

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

10/100

Dividing both sides by 10

10 ÷ 10/100 ÷ 10

1/10

Hence,

10/100 is equivalent to 1/10

Answer:

Decimal: 0.1  (One tenth)

Fraction: 1/10

Percentage: 10%

Step-by-step explanation:

The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.

I Hope this Helps

Uh numbers the answer is numbers

Answer:

x = 228

Step-by-step explanation:

Set up a proportion

57 houses / 40 seconds = x houses / 160 seconds

Cross multiply

9120 = 40x

Divide both sides by 40 to isolate x

x = 228

I hope this helped and please mark me as brainliest!

Answer:

8

Step-by-step explanation:

Answer:

9x+4=5x+12

9x-5x=12-4

4x=8

x=2

Hey there!

Solve for x :

x = 2 ✅

9x + 4 = 5x + 12

>> Substract 4 from both sides :

9x + 4 - 4 = 5x + 12 - 4

9x = 5x + 8

>> Substract 5x from both sides :

9x - 5x = 5x - 5x + 8

4x = 8

>> Divide both sides by 4 :

4x / 4 = 8 / 4

x = 2

Therefore, your answer is x = 2.

Learn more about equation :

https://brainly.com/question/20223429

Answer:

I believe the blue dot is on -10

Step-by-step explanation:

Counting from zero by 2's

0, -2, -4, -6, -8, -10,...

Hope this helps! :)

Answer:

14 and 37

Step-by-step explanation:

[tex]x-y =23\\xy=518[/tex]

x= mother's age

y= Monique's Age

[tex]y=\frac{518}{x}[/tex]

[tex]x=23+y[/tex]

[tex](23+y)y=518[/tex]

[tex]23y+y^{2} =518[/tex]

[tex]y^{2} +23y-518=0[/tex]

[tex](y-14)(y+37)=0[/tex]

[tex]y=14[/tex]  monica is 14 years old

The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]

Hope this helps

Answer:   Overall, the steps for algebraically finding the range of a function are:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x). ...

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

40. Let C be the total number of cupcakes. Then 2/3 x C + 1/6 x C = 200.

Combining , 5/6 x C = 200. So C = 240.

240–200= 40

Answer:

9+2i

Step-by-step explanation:

FOIL method, see attached pic

There are total 12 games of ping pong with play altogether by girls.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Total number of girls who play ping pong game after school = 4

And, Each girl play 3 games of ping Pong with each of the other girls.

Now,

Since, Total number of girls = 4

And, Each girl play 3 games of ping Pong with each of the other girls after school.

Hence, Total number of games of ping pong game with play altogether by girls is;

= 4 x 3

= 12

Therefore,

There are total 12 games of ping pong game with play altogether by girls.

Learn more about the multiplication visit:

https://brainly.com/question/2811940

#SPJ5

Answer: $133

Explanation:

\cfrac{32\ 500 - 30\ 900}{12} = \$133

12

32 500−30 900

=$133

Answer:

second one

Step-by-step explanation:

Notice that there's a y intercept of 2 and an x intercept of -4

This means that the line has a positive slope of 1/2, which leaves us with

y<(1/2)x+2

Answer:

the answer would be 5×1k=b

Answer:

Answer below

Step-by-step explanation:

Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.

The equation of the path of a rocket is given that is  y= x^2 + 153x + 98

We need to determine the time that the rocket will hit the ground.

Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.

Therefore, the value of y is 0.

Thus,  -16x^2 +153x + 98 = 0

Now, the formula for finding the roots of the quadratic equation  

 ax^2 +bx +c = 0 is given as:

 [tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x^2 = \frac{-b -\sqrt{b^2 -4ac} }{2a}[/tex]

Comparing the expression with the standard form of the equation.

a = -16b = 153 and c = 98

By applying the formula there are two values are come that is,

x^1 = -0.602555

x^2 = 10.1651  

Time can not be negative from any perspective.

Hence, the correct answer is 10.16 seconds.

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(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

g(x) = 1/4 f(x)

Step-by-step explanation:

(x,y) -> (x , 1/4 y)  .. vertical compression

Answer:

The answer is C

Step-by-step explanation:

I got a 100% on edge

Answer:

The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."

Step-by-step explanation:

got it right on edge

Answer:

15x^2-3x-1

Step-by-step explanation:

All we have to do is collect like terms and calculate! Hope this helps!

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1