Drag each expression to its equivalent expression. Each expression may be used only once.

Answer:

x = 4

y = -4

(4, -4)

Step-by-step explanation:

-7x - y = -24

y = -3x + 8

-7x - (-3x + 8) = -24

-7x + 3x - 8 = -24

-4x = -16x

x = 4

To solve for y.

y = -3(4) + 8

y = -12 + 8

y = -4

Answer:

x= 8/5

y= 28 4/5

Step-by-step explanation:

The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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Answer:

4.63 is the highest overall speed.

Answer:

D 4.63

Step-by-step explanation:

Answer:

-20513

Step-by-step explanation:

Answer:

it would be -20513

Step-by-step explanation:

have a good day!

The statement which, "backs" value-of-money in United-States is (b) acceptability of it as medium-of-exchange.

The value of money in United-States is primarily backed by acceptability of it as a medium-of-exchange. Money functions as a widely accepted means of payment for goods and services, and people have confidence in its ability to be exchanged for goods, services, and other assets.

This acceptability is based on the trust and faith that individuals and businesses have in the currency and the stability of the economic system it represents.

The other options do not directly back the value of money in the United States.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Which of the following "backs" the value of money in the United States?

(a) The gold stored in the Federal Reserve Bank of New York

(b) The acceptability of it as a medium of exchange

(c) The willingness of foreign government to hold U.S. dollars

(d) The size of the budget surplus in the U.S. government.

A Möbius transformation, also known as a linear fractional transformation, is a map T(z) defined by T(z) = (az + b) / (cz + d), where a, b, c, and d are fixed complex numbers with ad - bc ≠ 0.

A Möbius transformation is a type of function that maps points in the complex plane to other points in the complex plane. It is defined by a ratio of linear expressions in z. The general form of a Möbius transformation is T(z) = (az + b) / (cz + d), where a, b, c, and d are complex numbers.

The condition ad - bc ≠ 0 ensures that the denominator of the fraction is never zero, which guarantees that the transformation is well-defined for all z.

Möbius transformations have several important properties. They preserve circles and lines, and they can map the extended complex plane to itself, including the point at infinity. They also preserve the cross-ratio of four points, which makes them useful in conformal mapping and complex analysis.

Overall, Möbius transformations are powerful tools in complex analysis and have applications in various areas of mathematics and physics.

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Answer:

Step-by-step explanation:

The sum of a triangle’s angles is always 180 degrees.

x+x+2+38=180

2x+40=180

2x=140

x=70

C=x+2

C=70+2

C=72 degrees

Answer:

NOPE ... the answer is the first one...

the 3/5 ths is in the denominator, thus it needs a negative sign

just remember that

\(x^{1/2} =\sqrt{x} \\x^{1/n} = \sqrt[n]{x} \\x^{-2} = \frac{1}{x^{2} }\)

Step-by-step explanation:

Answer:

15 is the least common denominator between the two fractions

The program generated a prime number 14 times.

Relative frequency is a statistical measure that expresses the number of times an event occurs during a given period as a fraction of the total number of observations during that same period.

If the relative frequency of the program showing a prime number was 7/10, this means that out of the 20 times, Nathan generated a number randomly, the program showed a prime number 7/10 times.

So, the number of times the program generated a prime number can be found by multiplying 20 by 7/10:

20 x 7/10 = 14

Therefore, the program generated a prime number 14 times.

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Answer:

top: 21 < x < 33

bottom: 3 < x ≤ 8

Step-by-step explanation:

Answer:

\(\boxed{\sf y=6}\)

Step-by-step explanation:

There are 5 identical squares.

The area of one square is \(\sf s^2\).

\(\sf{y^2 } \times \sf{5}\)

\(\sf 5y^2\)

The area of the whole shape is 180 cm².

\(\sf 5y^2=180\)

Solve for y.

Divide both sides by 5.

\(\sf y^2=36\)

Take the square root on both sides.

\(\sf y=6\)

Answer:

-1764

Step-by-step explanation:

use BODMAS rule

⇒7{-7+8[5-3(4+6)]-9(9-4)}

solve round brackets

⇒7{-7+8[5-3(10)]-9()}

multiply 3 by 10 within the square bracket

⇒7{-7+8[5-30]-9(5)}

solve square bracket

⇒7{-7+8[-25]-9(5)}

move to curly brackets and multiply first

⇒{-7-200-45}

subtract

⇒7{-252}

multiply

⇒-1764 Answer

hope that helps...

The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic expression is given as

\(2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)\)

We know that formulas

\(a \log b = \log b^a\\\\\log a + \log b = \log ab\)

Then we have

\(\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})\)

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Answer:

B

Step-by-step explanation:

Edge 2022

Step-by-step explanation:

a. Belle as she only missed 50 questions where as Aurora missed 78. (500-450) and (650-572)

b. Belle scored 90% (450/500=0.9)

Answer:

a. Belle scored better, by scoring 2% more than Aurora.

b. She scored 90%

Step-by-step explanation:

Make your denominator out of a 100

So you will divide by 6,5

572÷6,5/650÷65

= 88/100

=88%

And divide the other by 5

450÷5/500÷5

=90/100

=90%

The height of a ball thrown upward can be determined by the equation S = 140 + 96t - 16t², where t represents the number of seconds after the ball is thrown. Therefore, the time at which the height of the ball is 140 feet is t = 6 seconds.

We are given the equation S = 140 + 96t - 16t², where S represents the height of the ball at time t.

To find the time at which the height is 140 feet, we set S = 140 and solve for t:

140 = 140 + 96t - 16t²

Rearranging the equation, we have:

0 = 96t - 16t²

Factoring out t, we get:

0 = t(96 - 16t)

Setting each factor equal to zero, we find two possible solutions:

t = 0 or 96 - 16t = 0

From the second equation, we solve for t:

96 - 16t = 0

16t = 96

t = 6

Therefore, the time at which the height of the ball is 140 feet is t = 6 seconds.

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The magnified length of the object would be \(10^7 \times 10^5 = 10^{12\) meters.

To calculate the magnified length of an object using a microscope, you first need to determine the magnification power of the microscope. In this case, the microscope has a magnification power of \(10^5\), which means it can magnify an object by a factor of \(10^5\) times.

Next, you need to determine the original length of the object. In this case, the original length of the object is \(10^7\) meters.

To calculate the magnified length of the object, you then need to multiply the original length by the magnification power. In this case, the magnified length of the object would be \(10^7 \times 10^5 = 10^{12\) meters.

This means that the object would appear to be \(10^{12\) meters long when viewed through the microscope. This is a significant increase in size, as \(10^{12\) is much larger than \(10^7\).

In conclusion, the magnified length of an object using a microscope can be calculated by multiplying the original length by the magnification power of the microscope. In this case, the magnified length of the object was \(10^{12\) meters.

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Answer:

B) -1 is your answer

Step-by-step explanation:

have a nice day!!

Answer: $52.50

Step-by-step explanation: Divide 28.00 by 8. It would equal $3.50, and that's how much per gallon. Multiply 3.50 by 15. So, the final answer is $52.50.

If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10

The dividends are given as: 3200 and 320

By comparing 3200 and 320, we have:

Quotient is simply the result gotten from dividing two quantities.

This means that:

If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10

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The male long jumper's jump, which ranked in the 75th percentile, was approximately 272.436 inches long.

To find the length of the male long jumper's jump at the 75th percentile, we can use the concept of z-scores and the standard normal distribution.

The 75th percentile corresponds to a z-score of 0.674. Using this z-score, we can calculate the distance of the jump by multiplying it by the standard deviation and adding it to the mean:

Distance = (z-score * standard deviation) + mean

Distance = (0.674 * 14) + 263

Distance ≈ 9.436 + 263

Distance ≈ 272.436

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Answer:

3 × 10^10

Step-by-step explanation:

43,600,000,000 × 75% = 0.75 × 43,600,000,000 = 32,700,000,000 =

= 3.27 × 10^10

Answer: 3 × 10^10

to get 100 percent correct do write in goo   gle or ch  rome calcula, or soup and write        h       the name of the image you have it shows you step by step hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y-intercept of f(x) is (0,1), so the y-intercept of g(x) is (0,3).

f(x) has a horizontal asymptote at y=0. and so does g(x).

f(x) does not have an x-intercept, and neither does g(x).

Answer:

y-intercept at (0, 3)

horizontal asymptote of y = 0

no x-intercept

Step-by-step explanation:

Definitions

y-intercept: the point(s) at which the curve crosses the y-axis (when x=0).

x-intercept: the point(s) at which the curve crosses the x-axis (when y=0).

Asymptote: a line that the curve gets infinitely close to, but never touches.

Given function:

\(f(x)=2^x\)

Properties of function f(x):

\(\textsf{If }g(x)=3f(x):\)

\(\implies g(x)=3(2)^x\)

Properties of function g(x):

Therefore the true statements are:

Answer:

Formula to find exterior angles =360°÷number of sided polygon

Step-by-step explanation:

360°/16

=22.5°

Answer:

22.5 degrees

Step-by-step explanation:

0.6. This is the probability that the student takes either chemistry or Spanish or both. Option C. is the answer

Probability is a measure of the likelihood of a particular event or outcome occurring.

Given the: Venn diagram where P(A) = 0.2 and P(B) = 0.3 and P(A∩B) = 0.1

Since A = student takes chemistry and B = student takes Spanish

P(A∪B) defines the set of students that take either A or B or both

Thus, P(A∪B) will the addition of P(A), P(B) and P(A∩B). That is:

P(A∪B) = P(A) + P(B) + P(A∩B)

P(A∪B) = 0.2 + 0.3 + 0.1 = 0.6

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Answer:

3w + 8 = 2

Step-by-step explanation:

product of a number and 3 is w * 3

eight more than the above is 3w + 8

which is equal to 2

3w + 8 = 2

Answer:

yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h

The average rate of change over the interval x = 3 and x = 7 is 30

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

The equation is given as

g(x) = 2ˣ - 1

The interval is given as:

x = 3 and x = 7

Start by calculating g(3) and g(7)

So, we have

g(3) = 2³ - 1 = 7

g(7) = 2⁷ - 1 = 127

So, the average rate over these intervals is calculated as:

Average rate = [g(b) - g(a)]/[b - a]

This gives

Average rate = [g(7) - g(3)]/[7 - 3]

Substitute known values

Average rate = [127 - 7]/[7 - 3]

Simplify

Average rate = 120/4

Average rate = 30

Hence, the average rate of change is 30

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