Violet cotributes 12% of her $55,700 annual salary to her 401 (k) plan. what is her pretax income.

17

18

10

that's the answer

mark me as brainliest please

Answer:

40, 24, 54

Step-by-step explanation:

let the 3 numbers be x, y and z

then

\(\frac{x}{y}\) = \(\frac{5}{3}\) ( cross- multiply )

5y = 3x ( divide both sides by 5 )

y = \(\frac{3}{5}\) x

and

\(\frac{y}{z}\) = \(\frac{4}{9}\) ( cross- multiply )

4z = 9y ( divide both sides by 4 )

z = \(\frac{9}{4}\) y = \(\frac{9}{4}\) × \(\frac{3}{5}\) x = \(\frac{27}{20}\) x

The 3 numbers are now expressed in terms of x , then adding gives

x + \(\frac{3}{5}\) x + \(\frac{27}{20}\) x = 118

multiply through by 20 to clear the fractions

20x + 12x + 27x = 2360

59x = 2360 ( divide both sides by 59 )

x = 40 ← first number

y = \(\frac{3}{5}\) × 40 = 3 × 8 = 24 ← second number

z = \(\frac{27}{20}\) × 40 = 27 × 2 = 54 ← third number

The 3 numbers are 40, 24, 54

A. A table of values and graph of the function is shown below.

B. The object would hit the ground at approximately 8.963 seconds.

Based on the information provided, we can logically deduce that the height (s) in meters, of this object above the​ ground is related to time by the following quadratic function:

s(t) = -4.9t² +39.2t + 42.3

When t = 0, s(t) is given by;

s(0) = -4.9(0)² +39.2(0) + 42.3

s(0) = 42.3

When t = 1, s(t) is given by;

s(1) = -4.9(1)² +39.2(1) + 42.3

s(1) = 76.6

When t = 2, s(t) is given by;

s(2) = -4.9(2)² +39.2(2) + 42.3

s(2) = 101.1

Therefore, the table can be created as follows;

Time (t)     Height s(t)

0                  43.3

1                   76.6

2                  101.1

3                  115.8

4                  120.7

5                  115.8

Part B.

Generally speaking, the height of this object would be equal to zero (0) when it hits the ground. By critically observing the graph (see attachment), we can logically deduce that the object would hit the ground at approximately 8.963 seconds.

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Answer:

1.35

Step-by-step explanation:

10.80 divided by 8

n = 1.35

Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.

Two angles are supplementary when the sum of their measures is of 180º.

The Alabama state flag has two lines opposite by the same vertex, hence two angles that are sided are supplementary, hence:

m<1 + m<2 = 180º.

135º + m<2 = 180º.

m<2 = 45º.

The measure of the second angle is of m<2 = 45º.

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Answer:

i still se question marks

Step-by-step explanation:

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

​

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

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Answer:

C

Step-by-step explanation:

We are trying to find the profit for every pizza sold. Since looking at the x axis, the point in which its x coordinate is 1 cannot be easily identified. Thus, we shall derive the answer using a point that can be easily identified.

We observe that the two points, (10,12) and (20,24) sits nicely on the graph. I will be using the first coordinate above to derive the answer.

For every 10 pizzas sold, $12 of profit is made.

10 pizzas ----- $12 profit

1 pizza ----- $12 ÷10= $1.20

Hence, the unit rate of profit for the pizzas is $1.20 per pizza.

Answer:

C.

$1.20 per pizza

Step-by-step explanation:

Step-by-step explanation:

Substitute where x=0, 1, 2, 3and y=0, 1,2,3

And plot in the graph by joining the points

Answer:

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees

180-40-60 = 80

80 degrees

80 degrees is an acute angle.

Answer:

It would be 80 degrees which is an acute angle

Step-by-step explanation:

A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!

yeah!!!

its value is 0.2

when it has the negative exponential value, it is written as 1/5 which is equal to 0.2

Answer:

B. <1 = 90, <2 = 40

Step-by-step explanation:

Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.

<P = right angle = 90°

<1 corresponds to <P, therefore, <1 = 90°

<R = 40°

<2 corresponds to <R, therefore, <2 = 40°.

The answer would be: B. <1 = 90, <2 = 40

An inequality that represents the state's hourly wage requirement include the following: C. m ≥ $9.25 per hour.

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Assuming the variable m represent the state's hourly wage requirement. Additionally, each interval on the number line represent 0.25 per hour.

Since the shaded circle (dot) is located at point 9.25 and the arrows points or increases to the right, an inequality that represents the state's hourly wage requirement is m ≥ $9.25 per hour.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

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The required sum is 2 + (−4) + (−10) + (−16) + (−22)

From the given sum of a sequence, we are to find the sum of the given sequence from n = 0 to n = 4

When n = 0

a(0) = 2 - 6(0)

a(0) = 2 - 0
a(0) = 2

When n = 1

a(1) = 2 - 6(1)

a(1) = 2 -6
a(1) = -4

When n = 2

a(2) = 2 - 6(2)

a(2) = 2 - 12
a(2) = -10

When n = 3

a(3) = 2 - 6(3)

a(3) = 2 - 18
a(3) = -16

When n = 4

a(4) = 2 - 6(4)

a(4) = 2 - 24
a(4) = -22
Hence the required sum is 2 + (−4) + (−10) + (−16) + (−22)

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The missing numbers are a = 25 and b = 92.

Let's start by finding the mean of the given numbers. The mean is calculated by summing all the numbers and dividing the sum by the total count. In this case, we have:

(a + 31 + 42 + 65 + b) / 5 = 51

Now, we can simplify the equation:

a + 31 + 42 + 65 + b = 51 x 5

a + 138 + b = 255

Next, we know that the greatest number is 67 more than the least number:

b = a + 67

Now we can substitute this value into the previous equation:

a + 138 + (a + 67) = 255

Combining like terms:

2a + 205 = 255

Subtracting 205 from both sides:

2a = 50

Dividing both sides by 2:

a = 25

Substituting this value back into the equation b = a + 67:

b = 25 + 67

b = 92

Therefore, the missing numbers are a = 25 and b = 92.

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Answer:

x=18

Step-by-step explanation:

\(\frac{4}{12} =\frac{6}{x} \\\)

\(\frac{4}{12}\) ÷ \(\frac{2}{2}\) = \(\frac{2}{6}\) = \(\frac{6}{x}\)

\(\frac{2}{6} = \frac{6}{x}\)  

2×3 =6

6×3=18

x=18

Answer:

Step-by-step explanation:

The solutions to the equation \(x^2 = 100\) are \(x = 10\) and \(x = -10\).

A formula that explains the relationship between the two expressions on either side of a sign. According to algebra, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 is made up of the two equations 3x + 5 and 14, which are separated by the equal sign. Your example is indeed an equation because an equation is any expression with just an equals sign. Equations are frequently employed in mathematical statements because mathematicians like equal signs. A formula is a list of rules for achieving a particular result.

To solve the equation \(x^2 = 100\), we can follow these steps:

Each side of the equation's square root is as follows:

x = ±10

Therefore, the solutions to the equation \(x^2 = 100\) are \(x = 10\) and \(x = -10\).

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Answer:

y=-10x+3

Step-by-step explanation:

The slope is -10

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

The percentage of females that do not satisfy the requirement is given as follows:

55.17%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given as follows:

\(\mu = 998, \sigma = 202\)

The proportion that does not satisfy the requirement is the p-value of Z when X = 1025(proportion less than 1025), hence:

Z = (1025 - 998)/202

Z = 0.13

Z = 0.13 has a p-value of 0.5517.

Hence the percentage is given as follows:

0.5517 x 100% = 55.17%.

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Answer:

I believe the answer is B, it makes the most sense

Step-by-step explanation:

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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14 + (-5) = 9 represents the correct expression of the distance between the friends.

To find the distance between the friends, we need to add up the total distance they have walked in opposite directions. We can represent the distance Joy walked forward as 14, and the distance Shaunte walked backwards as -5 (since she walked in the opposite direction). Therefore, the expression that correctly represents the distance between the friends is:

14 + (-5) = 9

So the distance between the friends is 9 steps.

The method used to find the distance between the friends was to calculate the total distance that each person walked, and then add or subtract these distances depending on the direction they walked. This is an example of using vector addition and subtraction to find the net displacement between two objects. In this case, the net displacement is simply the distance between the friends.

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The value of u is -343

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

343

Step-by-step explanation:

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

4x2x5=40

7x7=49

40+49=89

So the answer is 89