8^1/6 x 2^x= 32^1/2
Work out the exact value of x.

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Explanation:

We add up the fractions given

1/5 + 1/4

4/20 + 5/20

(4+5)/20

9/20

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An example:

Let's say there are 20 students.

Assume that those who wear glasses do not wear contacts, and vice versa. In other words, assume someone doesn't use both types.

If that assumption holds up, then 4+5 = 9 students wear corrected vision of some sort. So that's how we can arrive at the answer of 9/20 as the fraction of corrected vision students.

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

A number. :) lol

Step-by-step explanation:

Answer:

D. X=-3(y + 3) - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is get noob..........

Answer:

Step-by-step explanation:

To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:

x + (x+1) = 575

where x and x+1 are the two consecutive natural numbers.

We can solve this equation by combining like terms:

2x + 1 = 575

Subtracting 1 from both sides, we get:

2x = 574

Dividing both sides by 2, we get:

x = 287

Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.

Answer:

287,288

Step-by-step explanation:

Question

The sum of two consecutive natural numbers is 575. Find the numbers

soln

x +( x + 1) = 575

x + x + 1 = 575

2x + 1 = 575

2x = 575 – 1

2x = 574

\( \frac{2x}{2} = \frac{574}{2} \)

x = 287

since we got x as 287, lets solve(x+1)

by substituting

287 + 1 = 288

hence the consecutive numbers are 287,288

Check

287 + 288 = 575

we are correct.

i hope this helps

From the figure given we can find the coordinate of E:

And we want to apply the following transformation:

So then we need to do the following in order to find the coordinate of E'

So the answer for htis case would be:

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

Answer:

5 would be the midian

Step-by-step explanation:

You would need to add 0+2+4+6+8+10

Then count how many numbers there are (6)

Then put it in a fraction

30/6

Then divide and then you get 5

Answer:

21,67

Step-by-step explanation:

0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67

Answer:

I think the answer is Z is 45 degrees

hope this helps!

Answer:

The value of tangent Z is

\( \frac{3}{4} \)

Note that the question asks for the value of tan z NOT angle z.

Step-by-step explanation:

\( \tan(z) = \frac{opposite}{adjacent} = \frac{21}{28} = \frac{7 \times 3}{7 \times 4} = \frac{3}{4} \)

Answer:

Equivalent fractions of 3/5 are:

(3 × 2)/(5× 2) = 6/10,

\(\huge\textsf{Hey there!}\)

\(\mathsf{\dfrac{3}{5}}\\\\\mathsf{= \dfrac{3\times\bf 2}{5\times \bf 2}}\\\\\mathsf{= \dfrac{\bf 6}{10}}\\\\\mathsf{= \dfrac{6\leftarrow numerator}{10 \leftarrow denominator}}\\\\\huge\textsf{Thus, your numerator is \boxed{\mathsf{6}}, whereas the}\\\huge\textsf{denominator is \boxed{\mathsf{10}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Given

To find

we know that

Inserting the value of radius

The divers in order from least to greatest based on the number of liters left in their oxygen tank is: D. Dante, Sofia, Alexis.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

Next, we would convert each of the volume of oxygen (in liters) that is written in words to a numerical data as follows:

Seventy nine eighths = 79/8 = 9.875.

Nine and eight fifteenths = 9 8/15 = 9.533.

Now, we can arrange the divers in order from least to greatest based on the number of liters left in their oxygen tank:

In conclusion, we can infer and logically deduce that the divers in order from least to greatest based on the number of liters left in their oxygen tank is Dante, Sofia, Alexis.

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Complete Question:

Three divers went scuba diving in the ocean for a couple of hours. The table shows how much oxygen they had left in their oxygen tanks.

Diver        Oxygen (liters)

Alexis       seventy nine eighths

Dante       9.3

Sofia         nine and eight fifteenths

Place the divers in order from least to greatest based on the number of liters left in their oxygen tank.

A. Sofia, Dante, Alexis

B. Alexis, Sofia, Dante

C. Dante, Alexis, Sofia

D. Dante, Sofia, Alexis

Answer: Sofia, Alexis Dante

Step-by-step explanation: Did the test and got all the other choices wrong. It's D.

To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

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Answer:

6n+2

Step-by-step explanation:

Step-by-step explanation:

putting x= 7

2x7x7

2x49

98(ans)

Answer:

4

Step-by-step explanation:

16 = 5 * 4 - 4

5 times 4 = 20 minus 4 = 16

Answer:

4

Step-by-step explanation:

16=5w-w

combine like terms

16=4w

divide 4 in both sides

w=4

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

Answer:

6

Step-by-step explanation:

We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:

5x + 8 = 9x + 12

Minus 8 on both sides

5x = 9x + 4

-4 = 4x

x = -1

Now substitute both sides of the equation with -1 instead of x

-5 + 8 = -9x + 12

3 = 3

XY = MY + XM

XY = 3 + 3 = 6

Hope this helps :)

Have an awesome day!

Answer:

Answer:

I found the simplified equation

Step-by-step explanation:

the answer when simplified is u^2-v^2

Hope this helps please mark brainliest :)

Answer:

u² - v²

Step-by-step explanation:

\( \dfrac{u^2 - v^2}{u + v} \div \dfrac{u}{u^2 + vu} = \)

\( = \dfrac{u^2 - v^2}{u + v} \times \dfrac{u(u + v)}{u} \)

\( = \dfrac{(u^2 - v^2)(u)(u + v)}{u(u + v)} \)

\( = u^2 - v^2 \)

\(\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}\)

Answer:

135 minutes

Step-by-step explanation:

The total number of minutes Tim needs to practice is 300 minutes.

We subtract the number of minutes he has already finshed:

300 - 127 - 38 = 135 minutes

Answer:

138 minutes

Step-by-step explanation:

so all we have to do is subtract the times he practiced for on sunday and tuesday by 300

300-127-38=138

he still has to practice 138 minutes to reach his goal