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2 years ago

A person runs 1/8 mile in 1/64 hour. The person's speed is (BLANK) miles per hour.

Mathematics

1 answer:

snow_tiger [21]2 years ago

7 0

Answer: The person's speed is 8 miles per hour.

Step-by-step explanation:

To solve we want to convert the $\frac{1}{8}$ and $\frac{1}{64}$ proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.

$\frac{1}{64}$ × $\frac{64}{1} =\frac{64}{64} =1$

Since we multiplied that to the number of hours we must also do that for the number of miles.

$\frac{1}{8}$ × $\frac{64}{1} =\frac{64}{8} =8$

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the number y of calories burned after x hours of rock climbing is represented by the linear function y=650x find the domain , is

Flauer [41]

Answer:

The domain is discrete

Step-by-step explanation:

Given

$y = 650x$

Required

What type of domain is it?

<em>Based on the given options, the domain is continuous.</em>

From the question, we understand that x represents the hours spent in climbing the rock.

The climber can decide to climb for 1 hour, 2 hours, ½ hour, ⅓ hour, ¼ hour, etc..

A domain is said to be discrete if it can only take integers (i.e. whole numbers), if otherwise, it is continuous;

So, since x is not limited to only whole numbers, then we can conclude that the domain of x is continuous

3 0

3 years ago

The volume of a cone is 3.x cubic units and its height is x units.

Vika [28.1K]

Answer:

Radius of the cone's base is 3x ....

Step-by-step explanation:

We have given that the volume of a cone is 3πx³

Height = x units.

The volume of a cone of radius r and height h units is given by:

V= 1/3 π r² *h

Simply plug the values given in the question into the above mentioned equation:

1/3πr²*x = 3*π*x³

1/3r²*x= 3x³

r² = 3*3*x³/x

r²=9x²

Taking square root at both sides we get:

√r² =√9x²

r = 3x

Thus the radius of the cone's base is 3x.

5 0

4 years ago

Read 2 more answers

Please help me that’s would be great and I promise to mark brainlest!!

defon

Option A is correct.

If we evaluate the function at $x=0$ , i.e. at the beginning, we have

$f(0)=75 \cdot 2^0 = 75 \cdot 1 = 75$

with each minute, you multiply the current number of cell by 2, so they double every minute.

Option B is incorrect, because if the number of cells increases by 2 every minute, the function would be

$f(x) = 75 + 2k$

Option C is incorrect, because after one minute (i.e. when x=1) we have

$f(1) = 75\cdot 2^1 = 75 \cdot 2 = 150$

cells, so 75 is not the number of cells after one minute

Option D is incorrect in both the initial value and the behaviour of the function

6 0

3 years ago

Use the graph to answer parts a and b below.

slega [8]

The correct answer is (4, 90)

4 0

3 years ago

Read 2 more answers

Given the sample information below, what test statistic should be used to determine whether the standard deviations are equal fo

kodGreya [7K]

Complete question:

Given the sample information below, what test statistic should be used to determine whether the standard deviations are equal for two populations, prior to performing a hypothesis test for the equality of the population means?

Sample 1: n=30; x'=45; s=3;

Sample 2: n=20; x'=32; s=1.9

a. F = 2.49, with numerator degrees of freedom = 29 and denominator degrees of freedom = 19

b. F = 1.58, with numerator degrees of freedom = 19 and denominator degrees of freedom = 29

c. F = 0.40, with degrees of freedom = 19

d. t = 18.75, with degrees of freedom = 19

Answer:

a) F = 2.49, with numerator degrees of freedom = 29 and denominator degrees of freedom = 19

Step-by-step explanation:

To find the test statistics, use the formula below:

$F = \frac{(s_1)^2}{(s_2)^2} F_n_1_-_1, _n_2_-_1$

Where

s1 = 3

s2 = 1.9

n1 = 30

n2 = 20

Substitute figures:

$F = \frac{(3)^2}{(1.9)^2} ~ F_3_0_-_1, _2_0_-_1$

$F = \frac{9}{3.61} ~ F_2_9, _1_9$

$F= 2.493 ~ F_2_9, _1_9$

Correct option is option a.

F = 2.49, with numerator degrees of freedom = 29 and denominator degrees of freedom = 19

3 0

3 years ago