All categories

3 years ago

If f(n)=5^n then what is f(4)

1 answer:

5 0

All you have to do is plug in 4 where n is

In other words n = 4

So...

F(n) = 5^n
F(4) = 5^4 or (5 x 5 x 5 x 5)
F(4) = 625

You might be interested in

Use your understanding of the unit circle and trigonometric functions to find the values requested.

vfiekz [6]

Answer:

a) For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

b) From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

Part b

From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

6 0

3 years ago

The histogram below shows information about the number of hamburgers students ate in a month:

vovikov84 [41]

The answer is

D. The number of students who ate 10 hamburgers or more

100% Verified!

Hope This Helps!:)

6 0

3 years ago

The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? wr

dimaraw [331]

Xy is the number

A) x + y = 7
B) 10y + x = 10x + y + 9
collecting terms of equation B
B) -9x + 9y = 9
multiplying A) by 9
A) 9x + 9y = 63 then adding it to equation B)
B) -9x + 9y = 9
18y = 72
y = 4
x = 3

The number is 34

4 0

3 years ago

How many tenths are in 15.03

Brilliant_brown [7]

There are 10 "tenths" in one whole number.

15 --> 15 whole numbers --> 15 * 10 = 150 --> 150 tenths

0.03 --> 3 hundredths --> 10 hundredths = 1 tenth --> 3/10 tenth

150 3/10 tenths in 15.03

7 0

3 years ago

The trail around Mirror Lake in Yosemite National Park is 5 miles long. 9. What fraction describes how much more of the trail Jo

lawyer [7]

This question is incomplete

Complete Question:

The trail around Mirror Lake in Yosemite National Park is 5 miles long.

The tables below show the fraction of miles each hiked:

Hiker Fraction of miles hiked

Andrea 2/5

Jon 1/2

Callie 4/5

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Answer:

9. 1/10

10. 3/10

Step-by-step explanation:

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked

1/2 - 2/5

= The Lowest Common Denominator is 10

= [(5 × 1) - (2 × 2)] /10

= [5 - 4] /10

= 1/10

The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

This is calculated as the number of miles Callie hiked - The number of miles Jon hiked

4/5 - 1/2

= The Lowest Common Denominator is 10

= [(4 × 2) - (1 × 5)] /10

= [8 - 5] /10

= 3/10

The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10

7 0

2 years ago