Find the average rate of change of k(x) = x' over the interval [3, 9].

Answer:

21ft^2

Step-by-step explanation:

A=LW

A= 3ft x 7ft

A=21ft^2

On moving a distance of 20m towards the foot of the cliff the angle of

elevation increases to 60° .

The situation forms 2 right angle triangle.

The height of the cliff is the opposite side of the 2 triangles formed.

Using trigonometric ratio, the bigger triangle  can be represented as

follows:

tan 30 = opposite / adjacent

Let the distance from point Q to the foot of the cliff be d.

Therefore,

tan 30° = 17.3 / d

d = 17.3 / tan 30

d = 17.3 / 0.57735026919

d = 29.9644789709

d ≈ 30 m

Let's find the new angle when he moves 20 m towards the foot of the cliff.

The smaller triangle formed is used to find the new angle.

Therefore,

The new distance  from the foot of the cliff (adjacent side) = 30 - 20  = 10 m

tan x° = 17.3 / 10

tan x° = 1.73

x = tan ⁻¹ 1.73

x = 59.9705982385

x  ≈ 60°

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Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

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

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

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

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

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

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

Step-by-step explanation:

Alrighty! here you go image.

Answer:x=15

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND

Answer:

Step-by-step explanation:

As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)

y = C(x + 2)(x - 2) = C(x² - 4)

applying the y intercept of (0, 4)

4 = C(0² - 4)

C = -1

y = -1(x² - 4)

y = 4 - x²

Answer:

hi

Step-by-step explanation:

Answer:

90 clockwise

Step-by-step explanation:

Answer:

270 degrees

Step-by-step explanation:

If both numbers are negative it means its in the lower left quadrant, so to reach 7 and -3, that means we need to reach the lower right quadrant so a 270 degree turn works

Answer:

28

Step-by-step explanation:

the ratio is written as copies/dollars.

14/4=x/8

since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.

14/4=28/8

Answer:

y + 6 = -1/4(x - 2)

Step-by-step explanation:

Point slope form:  [tex]y - y_{1} = m(x - x_{1} )[/tex]

[tex]y - y_{1} = m(x - x_{1} )[/tex]    Substitute slope = -1/4 and point (2, -6)

[tex]y - (-6) =\frac{-1}4} (x - 2)\\[/tex]

y + 6 = -1/4(x - 2)

Answer:

Chris drove the truck 203 miles.

Step-by-step explanation

So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.

Answer:

3.5 cups of sugar per bag.

Step-by-step explanation:

17.5/5

3.5 cups of sugar are used to make 1 bag of cotton candy

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For 5 bags of candy = 17.5 cups of sugar needed

and, For 1 bags of candy

=17.5/ 5

=3.5 cups of sugar needed

hence, 3.5 cups of sugar are used to make 1 bag of cotton candy

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The total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

The given parameters;

The total cost of the new Apple Watch Series 7 is calculated as follows;

Total cost = 0.07(799)  +  799

Total cost = $854.93

Thus, we can conclude that the total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

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Answer:

True

Explanation:

3 feet is 1 yard so 13/3 is 4.3 yards approximately

True

[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]

3x = 13

[tex]x = \frac{13}{3} yards[/tex]

Answer:

Given the temperature of an object at time t as

-kt f(t) = T. + Ce +

where TO is the environment temperature, C is the difference in temperature of environment and object.

Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have

To = 0

C = 100 – 0= 100

After 26 minutes the temperature of water is 50 degree celsius.

f(26) = 0 + 100e -26k = 50

100e 26K = 50

-26 e = 0.5

-26%: In e = ln 0.5

-26% = ln 0.5

In 0.5 k= 26

So the temperature of water after 78 minutes will be,

f(78) = 100e -78 In 0.5 26 = = 12.5 =

The temperature of water after 78 minutes will be approximately 12.5 0 C

Step-by-step explanation:

Answer:

(-1,1)

Step-by-step explanation:

Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite  of (1,-1) would be (-1,1) ).

Hope this helped!

Answer:

its C. 1/5

Answer/Step-by-step explanation:

C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

Answer:

C = 35 + 9.5m

Step-by-step explanation:

This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)

but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.

Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...

But if the roles are reversed the the Seventh graders should earn the 50 points.

There is not a full answer to what I am saying but from speculation you should be able to decide..

Answer:  

Step-by-step explanation:

Parameterize C by the two vector functions,

r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)

with 0 ≤ t ≤ 1, and

s(t) = (6 cos(t), 6 sin(t))

with 0 ≤ t ≤ π/2.

Then the line integral over C is equal to the sum of the line integrals over each path:

[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]

[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]

[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]

[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]

Answer:

i tink its a

Step-by-step explanation:

Answer:

4000

Step-by-step explanation: First multiply the first two equations and will give you 1200000000 divided by 300000. Now logically 12/3is 4  so u do the same in the equation and it gives you 4000. Pls give brainly if i was right

Answer:

Step-by-step explanation:

(1.2•10^9) divided by (3•10^5)

(1.2 * 10^9) : (3 * 10^5) =

(1.2 * 1000000000) : (3 * 100000) =

1200000000 : 300000 =

4000

Answer:

It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation:

nope

9 1/2 is the same as a number decreased by 15

I guess that's the right answer maybe i'm wrong if I am oh well

Answer:

A and B

Step-by-step explanation:

a) -x+0+(-x)=0

Combine like terms.

-2x+0=0

Subtract 0 from both sides.

-2x=0

Divide both sides by -2.

x=0

b) -x-(-x)=0

Remove parentheses.

-x+x=0

Combine like terms.

0=0

Hope this helps :)