Consider the figure, where point Z is the midpoint of segments WX and VY, and the measure of angle Y is 48 degree A students begins to prove m

Answer:

When you use a debit card, the funds for the amount of your purchase are taken from your checking account in almost real time. When you use a credit card, the amount will be charged to your line of credit, meaning you will pay the bill at a later date, which also gives you more time to pay.

Step-by-step explanation:

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Debit is a deduction / subtracted amount so would have a negative value ( negative sign in front of the amount)

Credit is an addition so is a positive value.

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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9514 1404 393

Answer:

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

Answer:

yes it is.

x = 4 and y = -3

Step-by-step explanation:

Solve simultaneously using elimination method:

equation 1 - equation 2

3x + y = 9 equation 1

-2x + y = 5 equation 2

_________

x = 4

plug 4 into any of the 2 equations and solve for y.

3(4) + y = 9

12 + y = 9

12-12 + y = 9-12

y = -3

The coefficient of variation for the final exam is higher than that for the midterm exam, indicating that the scores on the final exam are more dispersed relative to the mean than the scores on the midterm exam.

To compare the degree of dispersion in the two distributions, we can calculate the coefficient of variation (CV) for each exam:

CV = (standard deviation / mean) x 100%

For the midterm exam:

CV = (10 / 75) x 100% = 13.33%

For the final exam:

CV = (15 / 55) x 100% = 27.27%

To determine which class had the greatest amount of variation in exam scores relative to their means, we can compare the coefficient of variation for the two classes. Since the CV for the final exam is higher than that for the midterm exam, we can conclude that the final exam had a greater amount of variation in exam scores relative to the mean for the class than the midterm exam.

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Answer:

Step-by-step explanation:

Coplanar points are the points on the same plane.

We see two planes, a vertical and a horizontal.

The points H, I and J are on the same vertical plane, so are coplanar.

In a unit rate, the denominator is always 1.

Answer:

y = 30

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 20 as y and 8 as x, then solve for k:

y = kx

20 = k(8)

2.5 = k

So, the equation is y = 2.5x

Plug in 12 as x, and solve for y:

y = 2.5x

y = 2.5(12)

y = 30

So, when x = 12, y = 30

Given:

a) The domain of the function is a set of all input values for which the function is real and defined.

First, find the on-negative values of radical and undefined points.

The domain is,

b) Range of the function is a set of dependant variables for which the function is defined.

The range is,

Answer:

7.05%

Explanation:

Mr Bernard taxable income = $68,000

Amount paid as social security tax on earnings = $4,794

Let the social security tax rate = x

This gives:

Next, solve for x:

The social security tax rate for that year (to the nearest hundredth of a percent) is 7.05%.

Answer:

Step-by-step explanation:

What does  ="as="shown.=">  mean?

No, his graph of s<-9 is incorrect. There should be an open circle at -9.

Answer:

sample response I would suggest rewording it

Step-by-step explanation:

No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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Answer:

The two possible cases are

(i) the base angles are each 40° and the vertex angle is 100°,

(ii) the base angles are each 70° and the vertex angle is 40°.

Step-by-step explanation:

Answer:

4545+y+A

Step-by-step explanation:

It cant be solved it can only be simplified down to 4545+y+A

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

The function third represents the same domain and range as the provided function option second is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm f(x) = -\dfrac{5}{7}\left(\dfrac{3}{5}\right)^{x}\)

The domain will be all real numbers and the range will be y<0

In the function:

\(\rm f(x)= -\dfrac{5}{7}\left(\dfrac{3}{5}\right)^{-x}\)

The domain will be all real numbers

The range will be y<0

Thus, the function third represents the same domain and range as the provided function option second is correct.

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Answer:

a=90

b=30

Step-by-step explanation:

We know that f(x) is a linear function.

We also know two points of the function:

We can calculate the slope of f(x) as:

With the slope m = 3.5 and one point, like (1, 4), we can write the equation in slope-point form and then rearrange:

Answer: the equation is f(x) = 3.5x + 0.5

Answer:

x > 75

Step-by-step explanation:

x/5 + 6 > 21

Subtract 6 from both sides.

x/5 > 15

Multiply both sides by 5.

x > 75

Answer: x > 75

The probability distribution for a random variable x is given in the table x > 5 is 0.5.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The table

Now,

Using these facts, we can find the probability that x > 5 from the given table:

The possible values of x that are greater than 5 are 10, 15, and 20. We need to add their probabilities to get the probability of x > 5.

The probability of x = 10 is 0.25, the probability of x = 15 is 0.1, and the probability of x = 20 is 0.15. Adding them together, we get:

P(x > 5) = P(x = 10) + P(x = 15) + P(x = 20)

P(x > 5) = 0.25 + 0.1 + 0.15

P(x > 5) = 0.5

Therefore, the probability will be 0.5.

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Answer:

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Step-by-step explanation:

We have to find the equation of the line that passes through the points (8,0) and (-9,-9).

Let the two points be (\(x_1,y_1\)) = (8, 0) and (\(x_2, y_2\)) = (-9, -9).

Now, we will find the two-point slope using the above two points, i.e;

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          =  \(\frac{-9-0}{-9-8}\)  =  \(\frac{9}{17}\)

Now, the equation of the line using one of the point, let's say (\(x_1,y_1\)) = (8, 0) is given by;

\(y - y_1 = \text{Slope} \times (x - x_1)\)

\(y - 0 =\frac{9}{17} \times (x - 8)\)

\(y =\frac{9x}{17} - \frac{72}{17}\)

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

Answer: 25 percent is 40