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3 years ago

A subway car 34 feet long; 1 inch = 5 feet

Mathematics

1 answer:

ZanzabumX [31]3 years ago

8 0

Answer:

6.8 inches

Step-by-step explanation:

inch= 1 x

feet= 5 34

1×34÷5

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Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the re

Jlenok [28]

Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

$\triangle p = 12\ million$

$p_1 =300\ million$

China

$\triangle p = 12\ million$

$p_1 =1\ billion$

Required

Determine the relative change for each country

Relative change, C is calculated as:

$C = \frac{\triangle p}{p} * 100\%$

For United States

$C = \frac{12\ million}{300\ million} * 100\%$

$C = \frac{12}{300} * 100\%$

$C = \frac{12 * 100}{300}\%$

$C = \frac{1200}{300}\%$

$C = 4\%$

For China

$C = \frac{12\ million}{1\ billion} * 100\%$

$C = \frac{12}{1000} * 100\%$

$C = \frac{12* 100}{1000} \%$

$C = \frac{1200}{1000} \%$

$C = 1.2\%$

The relative change of the United States and China is 4% and 1.2%, respectively.

3 0

2 years ago

BRCA1 is a gene that has been linked to breast cancer. Researches at Stanford University wanted to estimate what proportion of w

Evgesh-ka [11]

Answer:

The point estimate for the proportion of women with BRCA1 mutation is 0.168

Step-by-step explanation:

The point estimate for the proportion of women with BRCA1 mutation is the number of women with this mutation divided by the size of the sample.

Of the 173, they found that 29 had BRCA1 mutations.

29/173 = 0.168

The point estimate for the proportion of women with BRCA1 mutation is 0.168

7 0

3 years ago

Which of the following represents the zeros of f(x) = 6x3 + 25x2 − 24x + 5?

cestrela7 [59]

F(-5) = 6(-5)^3 + 24(-5)^2 - 24(-5) + 5 = 0
so x = -5 is one zero.

7 0

3 years ago

Sam is 5 years old. His older brother, Tom, is three times as old as Sam. When Sam is 20, how old will Tom be?

Gnom [1K]

To find the age of tom we will use the expression 20*3 because tom is three times as old as Sam.

so the answer is 60

7 0

3 years ago

Read 2 more answers

Lim x approaches 0 (1+2x)3/sinx

jok3333 [9.3K]

Interpreting your expression as

$\dfrac{3(1+2x)}{\sin(x)}$

when $x$ approaches zero, the numerator approaches 3:

$3(1+2x) \to 3(1+2\cdot 0) = 3(1+0) = 3\cdot 1 = 3$

The denominator approaches 0, because $\sin(0)=0$

Moreover, we have

$\displaystyle \lim_{x\to 0^-} \sin(x) = 0^-,\quad \displaystyle \lim_{x\to 0^+} \sin(x) = 0^+$

So, the limit does not exist, because left and right limits are different:

$\displaystyle \lim_{x\to 0^-} \dfrac{3(1+2x)}{\sin(x)}= \dfrac{3}{0^-} = -\infty,\quad \displaystyle \lim_{x\to 0^+}\dfrac{3(1+2x)}{\sin(x)}= \dfrac{3}{0^+} = +\infty$

8 0

3 years ago