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liq [111]
3 years ago
7

A biologist wants to know the width (w) of a river to properly set instruments for an experiment. From point A, the biologist wa

lks downstream 100 feet and sights to point C. From the sighting it is determined that 0=54°. How wide is the river?
Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

w = 137.6 ft

Step-by-step explanation:

100 tan 54° = w/100 *100

Simplify w/100*100 = w

w = 100 tan 54°

w = 137.6 ft

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Shirley graphed the line shown on the coordinate plane
Rus_ich [418]
But this is not a question. proof? no question mark

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3 years ago
Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin polynomials for the function in
Zielflug [23.3K]

Answer:

Σ(-1)^kx^k for k = 0 to n

Step-by-step explanation:

The nth Maclaurin polynomials for f to be

Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......

The given function is.

f(x) = 1/(1+x)

Differentiate four times with respect to x

f(x) = 1/(1+x)

f'(x) = -1/(1+x)²

f''(x) = 2/(1+x)³

f'''(x) = -6/(1+x)⁴

f''''(x) = 24/(1+x)^5

To calculate with a coefficient of 1

f(0) = 1

f'(0) = -1

f''(0) = 2

f'''(0) = -6

f''''(0) = 24

Findinf Pn(x) for n = 0 to 4.

Po(x) = 1

P1(x) = 1 - x

P2(x) = 1 - x + x²

P3(x) = 1 - x+ x² - x³

P4(x) = 1 - x+ x² - x³+ x⁴

Hence, the nth Maclaurin polynomials is

1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n

= Σ(-1)^kx^k for k = 0 to n

6 0
3 years ago
-8, 1, 10...<br> n<br> What is a formula for the ninth term of the given sequence
krek1111 [17]

9514 1404 393

Answer:

  a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

  an = -8 +9(n -1) . . . . formula for the n-th term

__

Then the formula for the 9th term is ...

  a9 = -8 +9(9 -1)

6 0
3 years ago
What would be the first step to solve for n in the equation 3n-7=30?
taurus [48]
The first step would be to add 7 to both sides.
3n-7=30
add 7
3n=37
divide by 3
n=12.33
4 0
2 years ago
Read 2 more answers
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into p
zaharov [31]

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

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Then she cuts off 5 of the sections to make into placemats.

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The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

8 0
3 years ago
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