In 1990, Dawn gross pay was $48,000.
A. What was her gross monthly pay?

B. In What month did Dawn hit the maximum taxable Social Security Income?

C. How much Social Security tax did Dawn pay in February of 1978?

D. How much Social Security tax did Jerry pay in May of 1978?

D. How much Social Security tax did Jerry pay in November of 1978?

Show Work

Answer:

Step-by-step explanation:

The gravitational potential energy (GPE) of an object with mass m at a height h above some reference level is given by the formula:

GPE = mgh

where g is the acceleration due to gravity (which is approximately 9.8 m/s^2 on Earth).

In this case, the snowboarder has a mass of 55.0 kg and is at a height of 4.50 m above some reference level (which is not specified). So the GPE of the snowboarder is:

GPE = (55.0 kg) x (9.8 m/s^2) x (4.50 m) = 2404.5 J

Therefore, the gravitational potential energy of the snowboarder is 2404.5 joules (J).

Answer:

2404.5

Step-by-step explanation:

Answer:

not sure explain it better please

Answer:

I think 25.5 degrees may be right answer

Answer:

45 jeweled and 20 enameled music boxes.

Step-by-step explanation:

( j stands for jeweled and e stands for enameled )

j + e = 25        The equation for the original total of music boxes.

3j + 2e = 65    The equation for the current total of music boxes.

15{ j } + 10{e} = 25     Since the total is 25, I know that the variable will be a multiple of 5. (since that's the only way to get a number that ends in 5).

3(15) + 2(10) = 65  

45 + 20 + 65

a) The residual plot indicates that a line is not a good model to predict the heights of girls from their ages, as the residuals assume negative values from a certain point.

b) The prediction would be likely too small, because of the positive residual.

For a data-set, the definition of a residual is that it represents the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

The residuals in the plot are as follows:

The negative residuals are because the rate of growth slows down, hence a linear function is not a good model for the situation, and an exponential function would improve.

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Answer:

what table ?

Step-by-step explanation:

we need a table

Answer:

True because integers are whole numbers so if u multiply two whole numbers u will get an whole number not a fraction or decimal.

Step-by-step explanation:

2x2=4

6x6=36

12x5=60

The solution is, If you multiply two integers, you'll always get an integer, the statement is true.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given statement is:

If you multiply two integers, you'll always get an integer.

now, we have,

the statement is:

True,

because integers are whole numbers

so if we multiply two whole numbers we will get an whole number not a fraction or decimal.

for example:

2x2=4

6x6=36

12x5=60

Hence, The solution is, If you multiply two integers, you'll always get an integer, the statement is true.

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The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

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The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

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Answer:

y+399=218

Step-by-step explanation:

total means added together meaning the outcome would be 218, and then just add y and 399 because they will be added for the total and boom you have an expression.

Answer:

(1, -4)

Step-by-step explanation:

if you rotate from quadrant 3 to 4, x=-y and y=x

After the rotation of 90° clockwise about the origin, the coordinates become P'(- 1, - 4).

Given is the coordinate of point as (-4, - 1). It is rotated by 90° clockwise about the origin.

When we rotate a figure 90 degrees clockwise about the origin, then the new coordinates will be -

A(x, y) → A(y, - x)

Then, we can write the new coordinates according to the rule as -

P(-4, - 1) → P'(- 1, - 4)

Therefore, after the rotation of 90° clockwise about the origin, the coordinates become P'(- 1, - 4).

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Answer: $126.00, the difference is 54.00

Step-by-step explanation:

126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ

Answer:

i don't know how to work this

Answer:

x = \(\frac{3}{4}\) , x = 20

Step-by-step explanation:

2(\(\frac{3x-5}{x+2}\) ) - 5 (\(\frac{x+2}{3x-5}\) ) = 3

Multiply through by (x + 2)(3x - 5) to eliminate the fractions

2(3x - 5)² - 5(x + 2)² = 3(x + 2)(3x - 5) ← expand factors on both sides

2(9x² - 30x + 25) - 5(x² + 4x + 4) = 3(3x² + x - 10) ← distribute parenthesis

18x² - 60x + 50 - 5x² - 20x - 20 = 9x² + 3x - 30 ← simplify left side

13x² - 80x + 30  = 9x² + 3x - 30 ( subtract 9x² + 3x - 30 from both sides )

4x² - 83x + 60 = 0 factor by splitting the x- term

4x² - 80x - 3x + 60 = 0

4x(x - 20) - 3(x - 20) = 0

(4x - 3)(x - 20) = 0

Equate each factor to zero and solve for x

4x - 3 = 0 ⇒ 4x = 3 ⇒ x = \(\frac{3}{4}\)

x - 20 = 0 ⇒ x = 20

Answer: A

Step-by-step explanation:

The mean is $1.60 greater than median So, Option B is correct

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this.

The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

According to the question,

Five year data is given:

For calculating mean,

Total number of year = 5

Sum of all year = 896 + 925 + 880 + 963 + 914

=> 4573

Mean = sum / total number

=> mean = 4578/5

=> 915.6

For calculating Median,

Arrange all the data in a ascending order

880 , 896 , 914 , 925 , 963

The middle value is 914

Therefore , median = 914

Difference of mean and median = 915.6 - 914

=> 1.6

Hence , Mean is $1.60 greater than median

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Given

Jacinda made 16 baskets

Greta made 4 baskets

Let x represent the number of times more than the number of baskets Greta made that Jacinda made.

x can be obtained by dividing the number of baskets Jacinda made by the number of baskets Greta made:

Substituting the given values:

Simplifying into an equation:

Hence, the equation for the problem is:

4x = 16

The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207

finding the percentage of 65 of 330 individuals

65 / 330 * 100 = 19.697% = 0.19697

number of samples, n = 330

standard deviation, σ   is calculated from

= √{(p(1 - p)) / n}

= √{(0.197 * (1 - 19.7)) / 330}

= √{(0.197 * (0.803)) / 330}

= 0.022

Margin of error, E

= Z(0.95) * σ/√(n)

= 0.171 * 0.022/√(330)

= 0.171 * √(0.022²/330)

= 0.000207

= 0.021%

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Answer:

ab²√b

Step-by-step explanation:

original problem can be changed to the square root of a²b²b²b

everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²

the b inside stays there because its exponent is one

A dilation is a geometric transformation that can change the size of an object and can change the location of an object. Every dilation has a center and a ratio.

• A dilation that ,makes an object smalle,r is sometimes called a ,compression, or a ,contraction,.

To dilate the points of the exercise,

We only have to multiply the factor by the x and y positions of our points

If K is a value greater than 1, the triangle will have an increase in size, but if it is between 0 and 1, the triangle will decrease in size.

Let's try to draw a rough diagram of the problem:

From here, we can dissect a triangle as shown below:

From this diagram, we are going to find H, the height of the skyscraper.

We already know that part of the side length "H" is 1200 feet. We need to find the other part of "H". Let's label it h1.

Finding h1:

Thus,

The height of the skyscraper is 1620.12 feet

Answer: True

Step-by-step explanation: because bias can lead to personal errors

The formula to find the distance between a point and a line is

Graphically

So, in this case, you have

Then

The absolute value is the distance between a number and zero. The distance between -10 and 0 is 10.

Therefore, the distance between the point of the line is 10 units.

we are given a ring homomorphism f: R → R' between commutative rings R and R'. We need to show that if P is a prime ideal of R' and f^(-1)(P) ≠ R, then the ideal f^(-1)(P) is a prime ideal of R.

To prove this, we first note that f^(-1)(P) is an ideal of R since it is the preimage of an ideal under a ring homomorphism. We need to show two properties of this ideal: (1) it is non-empty, and (2) it is closed under multiplication.

Since f^(-1)(P) ≠ R, there exists an element a in R such that f(a) is not in P. This means that a is in f^(-1)(P), satisfying the non-empty property.

Now, let x and y be elements in R such that their product xy is in f^(-1)(P). We want to show that at least one of x or y is in f^(-1)(P). Since xy is in f^(-1)(P), we have f(xy) = f(x)f(y) in P. Since P is a prime ideal, this implies that either f(x) or f(y) is in P.

Without loss of generality, assume f(x) is in P. Then, x is in f^(-1)(P), satisfying the closure under multiplication property.

Hence, we have shown that f^(-1)(P) is a prime ideal of R, as desired.

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(a) The 95% confidence interval for proportion of residents in Muscat who consider television news as their major source of news is (0.485, 0.615).

(b) The sample-size of approximately 384 would be necessary to estimate the population proportion with a maximum error of 0.05 at a 95% confidence level.

To construct a confidence-interval for proportion of residents in Muscat who consider television news as their "major-source" of news, we use the  formula;

The Confidence-Interval = Sample Proportion ± Margin of Error

Part (a) : To calculate confidence-interval, we first find the sample proportion (p') and margin-of-error.

The Sample-Proportion (p') = Number of successes / Sample size

p' = 110 / 200 = 0.55,

The Margin-of-Error (ME) = Critical value × Standard Error

The "critical-value" depends on desired confidence-level. For 95% confidence-level, the "critical-value" corresponds to a z-score of 1.96.

The Standard-Error (SE) = √((p' × (1 - p')) / n)

Where n = sample size,

SE = √((0.55 × (1 - 0.55)) / 200) ≈ 0.033

Now we calculate the margin-of-error as :

ME = 1.96 × 0.033 ≈ 0.065,

Now, we construct the confidence interval:

Confidence Interval = 0.55 ± 0.065

Confidence Interval ≈ (0.485, 0.615)

So, the required confidence-interval is (0.485, 0.615).

Part (b) : To determine the sample size required to estimate the population proportion with "maximum-error" of 0.05 at a 95% confidence level, we use the formula:

Sample Size (n) = (Z² × p' × (1 - p'))/E²,

Where Z = critical value corresponding to desired confidence level,

p' = estimated proportion, and E = maximum error,

Using a Z-score of 1.96, and p' = 0.5 and E = 0.05, we calculate the sample size as :

n = (1.96 × 0.5 × (1 - 0.5)) / 0.05²

n ≈ 384.16

Therefore, the required sample-size is 384.

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Answer:

6 packages

Step-by-step explanation:

30/5 is 6

Answer:

the answer is 6

Step-by-step explanation:

30 divided by 5

Answer:

20×5=100

380-100=280

280÷120=2 and 40 remain

40÷20=2

In order to regain the amount of water Joe losed during practice he should drink 10 cups of water.

A pound is equivalent to 453.59 mg, whereas a cup is equivalent to 236.59 ml.

You may roughly calculate that 2 cups equal 1 pound of water. The density should be 1 mg/ml if the fluid is mostly water.

The number of cups will be,

6 pounds * 453.59 (mg/pounds) * (1mg/ml) / (236.59 ml/cups)

= 10 cups .

Water is a crucial component for all living things, including people and other animals. Naturally, the water must go somewhere when it ascends the plant. Water loss will result from water evaporation (transpiration in plants)

Our breath, skin, urine, and sweat all cause water loss. A person's body will typically consume 2.5 L of water every day and expend the same amount. Your body will "inform you" you are thirsty and need to drink water if you get dehydrated (Figure 5). You have undoubtedly also noticed that when you drink less water, your pee is more concentrated.

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