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3 years ago

Assume that y varies inversely with x. If y= 16 when x = 0.5, find y when x = 32. y=[? ]

Mathematics

1 answer:

Maslowich3 years ago

4 0

Answer:

1/4 (or .25)

Step-by-step explanation:

y varies inversely with x, so

$y=\frac{k}{x}$

for some constant k. Use the given pair y = 16, x = 0.5 to find k.

$16=\frac{k}{0.5} \\ 16(0.5) = k \\ k=8$

Now, use x = 32 to find y that corresponds to it.

$y=\frac{8}{32} = \frac{1}{4}$

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The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increas

loris [4]

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls

8 0

2 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mila [183]

Answer:

$m\angle H = 44.4\°$ .

Step-by-step explanation:

Given:

In Right Angle Triangle GIH

∠ I = 90°

GI = 7 ....Side opposite to angle H

GH = 10 .... Hypotenuse

To Find:

m∠H = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

$sin \ H = \frac{Oppsite\ side\ to\ \angle H}{Hypotenuse}$

Substituting the values we get;

$sin\ H = \frac{7}{10} = 0.7$

Now taking $sin^{-1}$ we get;

$\angle H = sin^{-1}\ 0.7 = 44.427$

rounding to nearest tenth we get.

$m\angle H = 44.4\°$ .

Hence $m\angle H = 44.4\°$ .

6 0

3 years ago

Madison made the following table to record the height of each person in her family. If Madison and Jade lay end to end, how far

vitfil [10]

Answer:

10 ft

Step-by-step explanation:

To get their total reach, we add the two numbers.

5⅙

+4⅚

Add integers and fractions

5⅙

+4⅚

9⁶/₆

Convert the fraction to an integer

⁶/₆ = 1

Add the 1 to the 9

9 + 1 = 10 ft

If Madison and Jade lay end to end, they will they reach 10 ft.

6 0

3 years ago

The ticket sales for Fist Bump are as follows:

Fed [463]

Notice that the denominators are 3 and 7, which are factors of 21.

So express all the fractions with denominator 21:

On Monday $\frac{1}{7} = \frac{1}{7} * \frac{3}{3} = \frac{3}{21}$ are sold
On Tuesday $\frac{1}{3} = \frac{1}{3} * \frac{7}{7} = \frac{7}{21}$ are sold
On Wednesday $\frac{2}{7} = \frac{2}{7} * \frac{3}{3} = \frac{6}{21}$ are sold

by Thursday $\frac{3}{21}+\frac{7}{21}+\frac{6}{21} = \frac{3+7+6}{21}= \frac{16}{21}$ of the tickets was sold.

Answer: $\frac{16}{21}$

8 0

3 years ago

58 yd 73 yd Use 3.14 Instead Of Pie Symbol

defon

Answer:

$771096.8 \: yd^{3}$

Step-by-step explanation:

If you are trying to find the volume, you would use the formula:

$\pi \: r ^{2} (h)$

You would plug in the radius (r), which is 58, and then plug in the height, which is 73.

Make sure you remember to use 3.14 and not the pi key if you are using a calculator.

The final answer is 771,096.8 yd^3

7 0

4 years ago