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2 years ago

9

If a runner runs 8 miles in 92 minutes what is the runners unit rate?

1 answer:

omeli [17]2 years ago

5 0

Hi,

92/8= 11.5

Unit rate: 11.5

Wish you the best!

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Why is substitution a higher level of thinking?

zhuklara [117]

Advocates replacing foreign imports with domestic production.<span> It is based on the premise that a country should attempt to reduce its foreign dependency through the local production of industrialized products. The term primarily refers to 20th-century </span>development economics<span> policies, although it has been advocated since the 18th century by </span>economists<span> such as </span>Fredrick List<span> and </span>Alexander Hamilton.

5 0

2 years ago

Caden removed the label of a soup can like the one shown. What is the approximate area of the label if the can is 4 inches high

Dominik [7]

EXPLANATION

If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

$\text{Area}_{\text{label}}=2\pi rh$

Replacing terms:

$\text{Area}_{\text{label}}=2\pi\cdot1.5\cdot4=12\pi=37.7in^2$

The approximate area is 37.7 in^2

5 0

1 year ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

2 years ago

A room has a cathedral ceiling. If the walls in the room are 10 feet high and the ceiling is 18 feet high in the center of the r

9966 [12]

Check the picture below

notice, the run is half 35

recall slope = rise/run

4 0

3 years ago

I need someone to answer this for me please.?

Blizzard [7]

Use the Pythagorean Theorem
RP^2 = 5.3^2 + 3^2
RP^2 = <span> <span> <span> 28.09 </span> </span> </span> + 9
RP^2 = 37.09
RP = <span> <span> <span> 6.0901559914 </span> </span> </span>
So, the answer is 6.1

4 0

3 years ago