Does this table represent a function? Why or why not?

A.
B.
C.
D.

Answer:

y - 1/3x - 10 + 4 = 0

Step-by-step explanation:

What we know:

x = 12

y = 10

slope (m) = 1/3

y - y1 = m(x - x1) Point-slope form

Substitute in the values we have

y - 10 = 1/3(x - 12)

Bring all the values to one side

y - 10 - 1/3(x - 12) = 0

y - 1/3x - 10 + 4 = 0

Square RSTU is shown. R is at negative 1

Answer:

D;the last answer

Step-by-step explanation:

The more negative a fraction or decimal, the lower that actual value.

Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^

Answer: -1 \(\frac{1}{5}\), -1, 0.25, \(\frac{1}{2}\) , 0.75

Step-by-step explanation:

    I will turn all of these numbers into numbers that are not fractions since most of the numbers are already this way.

0.75 -> 0.75

-1 -> -1

\(\frac{1}{2}\) -> 0.5

-1 \(\frac{1}{5}\) -> -1.2

0.25 -> 0.25

    First of all, the negative numbers are smaller than the positive numbers. Then, we can order them least to greatest by number.

-1.2, -1, 0.25, 0.5, 0.75

   Putting the numbers into what they were originally given as gives us this:

-1 \(\frac{1}{5}\), -1, 0.25, \(\frac{1}{2}\) , 0.75

    The answer is the last option, -1 \(\frac{1}{5}\), -1, 0.25, \(\frac{1}{2}\) , 0.75.

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

B

Step-by-step explanation:

the correct answer is b

Answer: $252

Step-by-step explanation:

21$ an hour x 12 hours = $252 total :)

Answer:

She earned $252 thsi month.

Step-by-step explanation:

1  hour = $21

12 hours = $?

21*12 = 252

Answer:

90

Step-by-step explanation:

The equation y - 2 = 7/8(x - 8) in point-slope form written in slope intercept form is y = 7x/8 - 2.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Making y the subject of formula, we have the following:

y - 2 = 7/8(x - 8)

y - 2 = 7x/8 - 7

y = 7x/8 - 7 + 2

y = 7x/8 - 2

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Answer:

Around 570 to 560.

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

53 1/3 yards

Step-by-step explanation:

For every 3 ft, there is a total of 1 yard. Using this conversion, we can divide the 160 ft by 3 to get our answer in yards.

160 ft / 3 = 53 1/2

Answer:

3.96*10^-5 Coulombs

Explanation:

Given the following charges

Object A = 4.5 x10^-2 Coulombs

Object B = 8.8 x10^-4 Coulombs

Taking their product

A * B = 4.5 x10-2 * 8.8 x10^-4

A*B = (4.5*8.8)*(10^-2 * 10^-4)

A*B = (39.6)*10^-6

A*B = 3.96*10^1 * 10^-6

A*B = 3.96*10^{1-6}

A*B = 3.96*10^-5 Coulombs

Hence the product of their charges is 3.96*10^-5 Coulombs

The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.

The transition probabilities for the Markov chain are as follows:

If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.

If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.

If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.

So, the transition probabilities can be represented in a transition matrix as follows:

P = [  [0, 1, 0],

 [0.5, 0, 0.5],

 [0, 1, 0]

]

This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.

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Answer:

3.289 to 3 significant figures

Step-by-step explanation:

85.2÷25.90348

= 3.289133352

To determine the number of significant figures that an answer would have, the rule states that when we are multiplying or dividing 2 decimal numbers together, the answer with carry the significant figures of the number with the least number of significant figures.

For the question above, we are given:

85.2 = 3 significant figures

25.90348 = 7 significant figures

When we divide this numbers, we have:

85.2÷25.90348

= 3.289133352 = 10 significant figures,

When we want to round up this number to the appropriate significant figures, we would use the answer would carry the significant figure of the number with the lowest significant figures.

This number is 85.2 = 3 significant figures

Therefore, the answer of 85.2÷25.90348 = 3.289 to 3 significant figures

The median of the given data is 78.

What is median?

The median is a measure of central tendency that represents the middle value in a set of data when the data is arranged in order from smallest to largest. It is the value that separates the upper half of the data from the lower half.

To calculate the median, the data must first be ordered. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

The median of the given data can be found by first arranging the data in order from smallest to largest:

3, 5, 78, 81, 90

In this case, there are five values, so the median is the middle value, which is 78.

Therefore, the median of the given data is 78.

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Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

it will produce 6400 newspapers

Step-by-step explanation:

800 x 8 = 6400

the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

An interval is a set of real numbers that includes all the numbers between two endpoints. The endpoints can be included or excluded from the interval, depending on whether square brackets or parentheses are used to define the interval.

The equation is:

\(tan(\theta) = 3.804\)

To solve for θ, we can use the inverse tangent function (also known as arctan or tan^-1) on both sides of the equation:

\(\theta = tan^-1(3.804)\)

Using a calculator, we can evaluate this expression and get:

\(\theta \approx 1.305\) radians (rounded to three decimal places)

Therefore, the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

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Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.

In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.

To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-5) = 2(x - 4)

y + 5 = 2x - 8

y = 2x - 13

y = 2x - 13

The answer is not listed as a choice, but this is the correct equation.

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Answer:

Step-by-step explanation:

600(.07) = 42

$600 + $42 = $642

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

The square root of 76.8 is 8.76.

Square root of 76.8 is 8.746.

Given,

\(\sqrt{76.8}\)

Now,

Simplifying the square root :

If square root of x is to be calculated then,

\(\sqrt{x}\) = \(x^{1/2}\)

Similarly,

\(\sqrt{76.8}\) = \(76.8^{1/2}\)

= 8.746

Thus the square root of 76.8 is 8.746.

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Answer:

6 pounds and 15 ounces

Step-by-step explanation:

Since 1 pound is equal to 16 ounces you divide 111 by 16 and get 6 remainder 15 which is basically 6 pounds and 15 ounces. Hope this helps!

Answer:

2343.

have a nice day

Step-by-step explanation: