Solve the equation. -3(-7-x)=1/2(x+2).

Answer:

Step-by-step explanation:pentagon

Hexagon

Heptagon

Octagon

Nonagon

Decagon

I’m sorry if this is wrong

Answer:

Two points on the line and a point on the line and the slope are known

Step-by-step explanation:

This arises because 2 points can be used to get the slope of the line. You can then use that slope to get the intercept for the line and obtain the entire equation.

Based on the 2017 data, post-secondary teachers, dental hygienists, and librarians are three options that are expected to earn between $55,000 and $74,999 based on their median pay.

The median pay is the midpoint of a set of salaries, where half of the workers earn less and half earn more. In this case, the link provided takes us to the 2017 median pay column for various occupations.

After reviewing the data, it appears that post-secondary teachers, dental hygienists, and librarians are expected to earn between $55,000 and $74,999 based on their median pay. The median pay for post-secondary teachers is $76,000, while the median pay for dental hygienists is $74,070. Lastly, the median pay for librarians is $59,050.

It's important to note that the median pay for carpenters, firefighters, and childcare workers are below $55,000. This means that half of the workers in these occupations earn less than $55,000 per year.

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The function that represent the parent function y=x^2 after it has been translated 3 up and 2 right  is g(x) = (x - 2)^2 + 3

First, let's define the two transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Then we start with the function f(x) = x^2

A shift of 3 units up is written as:

g(x) = f(x) + 3

And a shift of 2 units to the right is written as:

g(x) = f(x - 2) + 3

Replacing by the original function we get:

g(x) = (x - 2)^2 + 3

The complete question is

Write a function that represent the parent function y=x^2 after it has been translated 3 up and 2 right

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Answer:

y = - \(\frac{5}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{5}{2}\) x - 2 ← equation of line

The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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Answer:

y = 3/2x + 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is 3x - 2y = 2. First, let's put this into standard form.

3x - 2y = 2

Add 2y to both sides to make y positive.

3x = 2y + 2

Subtract 2 from both sides to isolate y.

3x - 2 = 2y

Isolate y further by dividing both sides by 2.

3/2x - 1 = y or y = 3/2x - 1

This is now your first line. Its slope is 3/2. A line parallel to this one will also have a slope of 3/2.

Plug this value (3/2) into your standard point-slope equation of y = mx + b.

y = 3/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/2(-6) + b

To find b, multiply the slope and the input of x (-6)

-2 = -9 + b

Now, add 9 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 3/2x + 7

This equation is parallel to your given equation (y = 3/2x - 1) and contains point (-6, -2)

Hope this helps!

Answer:

Kindly check explanation

Step-by-step explanation:

Let number of loaves = nl

Cups of flour = cp

Tablespoonful of water = sw

Teaspoonful of salt = ss

1 loaf of bread calls for :

2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt

1 loaf :

cp = 2 × nl

sw = 12 × nl

ss = 1 × nl = nl

nl - - - - - - cp - - - - - - sw - - - - - - ss

1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1

2 - - - - - - - 4 - - - - - - - 24 - - - - - 2

4 - - - - - - - 8 - - - - - - - 48 - - - - - 4

3 - - - - - - - 6 - - - - - - - 36 - - - - - 3

Number of loaves = cups of flour / 2

All the solutions to the equation (z+1)7=z7 have equal real parts, and this real part is equal to 1/2.

Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

Given that

\((z+1)^7=z^7\)

can also be written as

\(|z+1|=|z|\)

\(|z+1|^2=|z|^2\)

\(z\bar{z}+z+\bar{z}+1=z\bar{z}\)

2Re(z)=1

z=-1/2

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Answer:

61.5

Step-by-step explanation:

Answer:

-10x (1 - y)

Step-by-step explanation:

Given :-

Side 1 = (2x + 5xy)

Side 2 = (-7x - 10xy)

To Find :-

Perimeter

Formula :-

Perimeter (rectangle) = 2 (Side 1 + Side 2)

Solving :-

Perimeter = 2 (2x + 5xy - 7x - 10xy)

= 2 (-5x - 5xy)

= -10x (1 - y) => [Solution]

Step-by-step explanation:

perimeter: 2 (2x+ 5xy+(-7x-10xy)

= 2(2x+5xy-7x-10xy)

= 4x+10xy-14x-20xy

= -10x-10xy

= -10x(1+y).

Answer: -10x(1+y)

Answer:

16, 49, 121

Step-by-step explanation:

Using the normal distribution, there is a 0.6826 = 68.26% probability that the sample mean will be within 2 points of the population mean.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

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

For this problem, the parameters are given as follows:

\(\mu = 40, \sigma = 8, n = 16, s = \frac{8}{\sqrt{16}} = 2\)

The probability that the sample mean will be within 2 points of the population mean is the p-value of Z when X = 40 + 2 = 42 subtracted by the p-value of Z when X = 40 - 2 = 38, hence:

X = 42:

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

By the Central Limit Theorem

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

Z = (42 - 40)/2

Z = 1

Z = 1 has a p-value of 0.8413.

X = 38:

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

Z = (38 - 40)/2

Z = -1

Z = -1 has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826 = 68.26% probability that the sample mean will be within 2 points of the population mean.

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The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Answer:

C

Step-by-step explanation:

Since this creates a 45-45-90 triangle, we know they are equal since the legs of 45-45-90 triangles are congruent

Answer:

c)Width of the river is equal to the height of the tower

Step-by-step explanation:

sure ans!! Hope it helps

Pls mark as Brainliest!!

The option that represents the subtraction of matrix K from matrix L, found by using the formula to subtract matrices, K - L is the option:

A matrix is a rectangular array of numbers, arranged in rows and columns.

The specified matrices are;

\(K = \begin{bmatrix}13 & 7 \\25 & 18\\\end{bmatrix}\)

\(L = \begin{bmatrix}6 &10 \\19 &18 \\\end{bmatrix}\)

The required operation is; K - L

The order or dimension of the matrices to be subtracted from  another matrix, have to be the same as the matrix from which it is being subtracted.

The dimension of the matrix K is 2 by 2 and the dimension of matrix L is 2 by 2, therefore, the difference between the two matrices is possible

The formula for subtracting a matrix from another matrix can be presented as follows;

\(\begin{bmatrix}a & b \\ c& d\\\end{bmatrix} - \begin{bmatrix}e &f \\ g& h\\\end{bmatrix} = \begin{bmatrix}a-e &b-f \\c-g & d-h \\\end{bmatrix}\)

The matrix, K - L is therefore:

\(K -L= \begin{bmatrix}13 - 6 & 7-10 \\25-19 & 18-18\\\end{bmatrix}= \begin{bmatrix}7 & -3 \\6 & 0\\\end{bmatrix}\)

\(K -L= \begin{bmatrix}7 & -3 \\6 & 0\\\end{bmatrix}\)

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The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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The commission made by Jarrod and total sales done by Jewelry store is equals to  $15.90 and $514.10 respectively.

Percent of commission rate earned = 3%

Amount of Jewelry sold last week = $530

Commission Jarrod made last week

= multiply the amount of his sales by the commission rate.

⇒ Commission Jarrod made last week = 3% of $530

⇒ Commission Jarrod made last week = 0.03 x $530

⇒ Commission Jarrod made last week = $15.90

Jarrod made $15.90 in commission last week.

The jewelry store made from Jarrod's sales

=  subtract the commission from the total amount of sales.

⇒Store's profit = $530 - $15.90

⇒ Store's profit = $514.10

The jewelry store made $514.10 from Jarrod's sales last week.

Therefore, the amount of commission and sales made by jewelry store is equal to $15.90 and $514.10 respectively.

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$ 240,437.74 - the balance of her fund on her 17th birthday.

His daughter turned 10 years old. Her reward was 5000.

subsequently, she began getting monthly interest compounded at a rate of 15%

She would thus have 5000 (the deposit from her birthday) + 15% = 5750 in her account at the end of the first month.

The amount would have been 5750 + 15% = 6612.50 at the conclusion of the second month.

She would have 6612.50 + 15% + 5000 (quarterly deposit) at the conclusion of the third month, which equals 12,604.38.

When she becomes 17 years old, if you keep doing these calculations, she will have a fun

$1,832,087,983.19

Only 145,000, including the 5,000 deposit made on her father's 17th birthday, would have been made by her father.

I would be grateful if someone could let me know where I can earn 15% compounded monthly.

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Answer:

√61

Step-by-step explanation:

→ Find the distance between y coordinates

2 --4 = 6

→ Find distance between x coordinates

2--3 = 5

→ Find distance

√6² + 5² = √36 + 25 = √61

A standard normal random variable probability is 0.0250.

The probability P(Z > 1.96)  found by subtracting the cumulative probability from 1.

Using a standard normal distribution table or calculator, find the cumulative probability corresponding to 1.96, which is approximately 0.9750.

P(Z > 1.96) = 1 - P(Z ≤ 1.96) = 1 - 0.9750 = 0.0250.

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Thus, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

The equation of exchange is an economic equation that relates the money supply (M) with the price level (P), the velocity of money (V), and the real output of the economy (Q). The equation is M x V = P x Q.

Using the given values of M = $1.5 trillion, V = 7, and P = 1.05, we can solve for Q by rearranging the equation as Q = M x V / P.

Plugging in the numbers, we get:

Q = ($1.5 trillion x 7) / 1.05 = $10 trillion

Therefore, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

It's worth noting that the equation of exchange is a theoretical model and may not reflect actual economic conditions. In practice, changes in any one of the variables (M, V, P, or Q) can affect the others, and there may be other factors at play that influence the economy.

Nonetheless, the equation of exchange provides a useful framework for thinking about the relationship between the money supply, prices, and economic activity.

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Complete question

in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:

Find real output.

Answer:

CD  ║ EF and ED is transversal, hence

We can see that:

Since the angles CDB and ADB sum to 180, these are consecutive interior angles, therefore AB and CD are parallel lines.

PU and QT are parallel and PT is transversal, therefore:

Now find the missing angles of ΔQTP

Now, we see that:

As  ∠TPQ ≅ ∠SQR  these angles are corresponding angles.

Therefore PT and SQ are parallel lines.

Answer: 1/3

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

For example, if slope of line A is a/b, then slope of line B which is perpendicular will be -b/a.

Substitute 1 and 3 for a and b. Apply the formula and get 1/3.

Hello there, I hope you are having a splendid day. :)

Perpendicular lines have slopes that are opposite reciprocals.

This means you take a number, flop it over, and make it negative.

The opposite reciprocal of -3 is

\(\frac{1}{3}\)

This is our answer. Hope it helps. Ask me if you have any queries. :)

~An emotional teen who helps others with joy

\(MagicalNature\)

Good luck. :)

It is an equilateral triangle so its angles are equal 60°. From the definition, we know that:

\(\sin60^\circ=\dfrac{h}{4}\)

and

\(\sin60^\circ=\dfrac{\sqrt{3}}{2}\)

so

\(\dfrac{\sqrt{3}}{2}=\dfrac{h}{4}\quad \Big|\cdot4\\\\\\h=\dfrac{4\cdot\sqrt{3}}{2}\\\\\boxed{h=2\sqrt{3}}\\\)

Answer:

h = √12

Step-by-step explanation:

use the Pythagorean

h² = 4² - 2²

h² = 16 - 4

h = √12

Answer:

Step-by-step explanation:

According to Pythagorean:

Two sides are 15 cm and 17 cm

If the third side is hypotenuse, its length is:

If the third side is leg, its length is:

#4

Apply Pythagorean theorem

#5

If base

If Hypotenuse

Answer: Multiplication property of equality

This is the idea that if a = b, then a*c = b*c for any real numbers a,b,c

It allows us to multiply both sides by the same number.

In this case, we multiply both sides by 5 to get

x/5 = 13

5*(x/5) = 5*13 ... multiplying both sides by 5

x = 65

Answer:

$30 per hour

Step-by-step explanation:

120/4=30