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3 years ago

Evaluate the function

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

$f(0) = {4}^{3 \times 0 + 3} = {4}^{0 + 3} = {4}^{3} = 64$
The answer is above.
Additional note 1:
${4}^{3} = 4 \times 4 \times 4 = 16 \times 4 = 64$
Additional note 2:
In the answer I filled in "0" at the place where "n" was. This is because the question tells us n=0

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Garden A has 9 more currant bushes than Garden B. If 3 currant bushes are transplanted from Garden B to Garden A, then Garden A

marusya05 [52]

Answer:

Step-by-step explanation:

Let x = the original number of bushes in garden A

Let x-9 = the original number of bushes in garden B

x-9-3=x-12 = bushes in garden B after transplanting 3

x+3 = bushes in garden A after transplanting 3

x+3=1.5(x-12)

x+3=1.5x-18

0.5x=21

x=42

There were 42 current bushes in garden A

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3 years ago

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Find the measure of the reference angle for an 11 radian<br> radian angle.

Vesnalui [34]

Answer:

about 1.56637 radians ≈ 89.746°

Step-by-step explanation:

The reference angle in radians can be found by the formula ...

ref angle = min(mod(θ, π), π -mod(θ, π))

Equivalently, it is ...

ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π

<h3>Application</h3>

When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...

ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

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2 years ago

Kevin opens a savings account with $350. He saves $125 each month.

Andrej [43]

Answer:

y=350x+125

Step-by-step explanation:

y=350x+125

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3 years ago

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The base of the following pyramid is a square. If the surface area of the pyramid is 896 in^2, what is it's volume? Side base le

MatroZZZ [7]

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Step-by-step explanation:

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3 years ago

Select the correct answer from each drop-down menu.

Alexxx [7]

Answer:

Graph B

Inside

Step-by-step explanation:

Let, the number of apples = x and number of peaches = y.

It is given that the farmer can afford maximum of 54 acres.

Thus, x + y ≤ 54.

Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.

Since, maximum amount of water is 80,000 gallons per day,

We get, 3000x + 800y ≤ 80,000.

It is required to maximize the profit given by z = 3400x + 1600y.

Thus, the system of equations becomes,

z = 3400x + 1600y

3000x + 800y ≤ 80,000.

x + y ≤ 54.

Plotting these equations gives the following graph.

We can see that the graph obtained is equivalent to Graph B.

Further, we know that the maximum value of the objective function z = 3400x + 800y is obtained at the boundary point of the solution region.

Thus, any point inside the solution region will give a feasible solution not maximum solution.

Hence, ( 30,20 ) will not maximize the profit as it lies inside the solution region.

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3 years ago