A. Solve each absolute value equation. /2.5pts
1)| 3x| = 9

Answer:

3/7

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

Where "l" is the length and "w" is the width.

The area of a circle can be found with this formula:

Where "r" is the radius of the circle.

Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:

Since the radius of a circle is half the diameter, in this case this is:

Therefore, the area of the circle is:

Now you must find the total area of the rectangle. Knowing that:

You get:

In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:

The answer is: Option D.

Answer:

x=75

Step-by-step explanation:

because 1x=15

15x5=75 or 5 x

ANSWER:

C. G(x) = |x - 7|

STEP-BY-STEP EXPLANATION:

An absolute value function has the following form:

Where (a, b) is the origin, if we want to move 7 units to the right, we must add 7 units on the x-axis, that is, in a, therefore, the function would be:

So the correct answer is C. G(x) = |x - 7|

The number of classes that they would each have to attend to have the same cost is 3 classes.

Viola is a member, she pays $15 per month for a membership fee, but only $5 for each class. This will be illustrated as 15 + 5x.

Raquel pays $10 to attend each class because she is a non-member. This will be illustrated as 10x

where x = number of classes

Therefore, the equation will be equated together. This will be:

10x = 15 + 5x

Collect like terms

10x - 5x = 15

5x = 15

Divide

x = 15 / 5 = 3

The number of classes is 3.

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The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.

What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.

What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.

As the population is a huge number and not linear in growth we prefer to take random variable.

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The area of the rectangle is  calculated by L*B

The area of the rectangle is 10.875 yards^2.

l = 58/ 8 yd = 7.25yd

b = 1 1/2 yd = 1.5yd

Solution:

The area of the rectangle is  calculated by L*B

Therefore,

L*B =  7.25* 1.5

= 10.875 yards^2.

The area of the rectangle is 10.875 yards^2.

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A kite contains four inner angles, which add up to 360 degrees. It has one pair of equal and opposite obtuse angles in each of these angles.

Answer:

∠D = 94°

Step-by-step explanation:

A kite is a quadrilateral.  

Therefore, the sum of its interior angles is 360°.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 108° + ∠B + 64° + ∠D = 360°

⇒ 172° + ∠B + ∠D = 360°

⇒ ∠B + ∠D = 188°

A kite has one pair of opposite (obtuse) angles that are equal.

Therefore, ∠D = ∠B.

⇒ ∠B + ∠D = 188°

⇒ ∠D + ∠D = 188°

⇒ 2∠D = 188°

⇒ ∠D = 94°

(x, y) => (x-4, y+8)  is a transformation of 4 units left and 8 units up

How is the transformation described?

From (x, y) to (x-4, y+8) ,

(a) Let us consider x => (x - 4)

Consider x axis and the ' - ' sign

Here a point moves  4 units to the left

(b) Let us consider y => (y + 8)

Consider  y axis and the ' + ' sign

Here a point moves  8 units  upwards

What is a transformation?

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If Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet

Here the Ellen's dog pen is in rectangular shape

The area of the rectangle = l × w

Where l is the length of the rectangle

w is the width of the rectangle

In this question

The length of the rectangle =  [tex]3^{2}[/tex] feet

= 3×3

= 9 feet

The width of the rectangle =  [tex]3^{3}[/tex] feet

= 3×3×3

= 27 feet

Then the area of the dog pen = l × w

Substitute the values in the equation

The area of the dog pen = 9×27

= 243 square feet

Hence, if Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet

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Sum
        243
I found it on edge

Answer:

yes correct . your solution is correct

Answer:

6.5 × 10^9 kg

Step-by-step explanation:

Here is the answer to the question the way it is asked, but the question is ridiculous. 1 kernel of popcorn has a mass of perhaps 1.5 g, so 1.25 g is reasonable. That means 1 kernel has a mass of 0.00125 kg, or 1.25 × 10^-3 kg. To state that 1 kernel of popcorn has a mass of 1.25 × 10^1 means that a kernel of popcorn has a mass of 12.5 kg which corresponds to a weight of approximately 27.6 lb. That is just ridiculous.

Using the ridiculous information given in the problem, then if 1 kernel has a mass of 1.25 × 10^1 kg, then 5.2 × 10^8 kernels have a mass of

(1.25 × 10^1 kg) × (5.2 × 10^8) =

= (1.25 × 5.2) × (10^1 × 10^8) kg

= 6.5 × 10^9 kg

Your number is correct, but don't forget the units.

The expression that represents the area of the figure is: D. x² + 5x + 6.

The area of a triangle can be found using the following formula:

Area of triangle = 1/2 × base × height.

Given the following parameters for the triangular figure shown:

Length of the base of the triangle = 2x + 4

Height of the triangle = x + 3

The area of the triangle = 1/2 × (2x + 4) × (x + 3)

Expand

The area of the triangle = 1/2 [2x(x + 3) + 4(x + 3)]

The area of the triangle = x(x + 3) + 2(x + 3)

The area of the triangle = x² + 3x + 2x + 6

The area of the triangle = x² + 5x + 6

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The equation in slope-intercept form that represents the situation is y = 4x - 160.

Given,

At 59°F, crickets chirp at a rate of 76 times/minute

At 65°F crickets chirp at a rate of 100 times/minute

We have to write an equation in slope-intercept form:

Here,

(x₁, y₁) = (59, 76)

(x₂, y₂) = (65, 100)

Lets find the slope.

m = (y₂ - y₁) / (x₂ - x₁)

m = (100 - 76) / (65 - 59)

m = 24/6

m = 4

That is, the slope is 4.

Now, substitute this in the slope-intercept form:

y = mx + b

100 = 4 × 65 + b

100 = 260 + b

b = -260 + 100

b = -160

Therefore, the equation in slope-intercept form that represents the situation is y = 4x - 160.

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Answer: A

Step-by-step explanation:

Using the distributive property,

[tex]8(3x-5)\\\\=8(3x)-5(8)\\\\=24x-40[/tex]

Rodger's weekly unemployment amount is $ 705.0225

Given,

The total of the quarterly wages of two consecutive quarters and dividing by 26.

The weekly unemployment is 65% of that amount.

Rodger made a total of $13,950.80.

and, he made a total of $14,250.10

We have to follow the some steps for solving question:

Step 1:  Find the total of the quarterly wages of two consecutive quarters.

= $ 13,950.80 + $ 14,250.10

= $28,200.90

Step 2 : Divide the total  by 26

  = $28,200.90 / 26

  =  1,084.65

Step 3 : Find the 65%

  =   1,084.65 x 65%

  =  1,084.65 x 65/100

  =   705.0225

Hence, Rodger's weekly unemployment amount is $ 705.0225

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Answer:

$705.02

got it right

Step-by-step explanation:

Answer:

4629= (4×1000)+(6x100)+(2x10)+(9×1)=4000+600+20+9

8338=(8 x 1000)+ (3x100)+(3×10)+(8x1)=8000+300+30+8

Step-by-step explanation:

separate each number and multiply by the place its in

5th p

5th 5248987 5th 5668746i89

Answer: So the question is asking you to see what will happen is like attempt 2.

Step-by-step explanation:

So I recommend reading what to do, if you still don't know, you can search it up or maybe even watch a video of how to do it.

I really hope this helps you!

7 × 5 is used to find the total number of squares.

Each has 7 small squares.

There are 5 parts,

So we can write:

7+7+7+7+7

That is adding 7 five times. By this we get the total number of square.

So by multiplying 7 by 5 we get the total number of square.

= 7× 5

Therefore the expression 7×5 is used to find the total number of squares.

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Answer:

y=2x

Step-by-step explanation: given (0,0) (1,2)

y=mx+b

0=(m*0)+b

0=b

2=(1*m)+

2=m

y=mx+b

y=2x

Answer:

165 miles

Step-by-step explanation:

part 1

231/7=33mpg

33×5 =165 miles

part 2

distance/mpg= gas used

for example: if you were told he went 200 miles,

200/33= 6.06 gallons of gas

Answer:

Y-intercept is 4

Step-by-step explanation:

due to X and Y lines it would be 4 lol

Have a good day

Answer:

It is 4

Step-by-step explanation:

The line intercepts the y axis at 4

Mark me as brainliest

Answer:

$2,150

Step-by-step explanation:

We are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.

We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.

We are asked to find Kesha's gross income on her pay stub.

First, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:

[tex]\$25 \times 40 = \$1,000[/tex]

Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):

[tex]\$1,000 \times 2 = \$2,000[/tex]

Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:

[tex]\$25 \times 1.5 =\$37.50[/tex]

Then, multiply this value by 4 to represent the hours she works every other Saturday:

[tex]\$37.50 \times 4 = \$150[/tex]

NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.

Finally, add her time-and-a-half pay to her bi-weekly pay:

[tex]\$2,000 + \$150 = \$2,150[/tex]

Therefore, Kesha's gross income on her pay stub is $2,150.

Answer:

The slope of the line is 4/3

Step-by-step explanation:

slope = rise/run = y2-y1/x2-x1

1-(-3)/8-5 = 4/3

The slope of the line is 4/3

Radius of the cone is 8.75mm.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given Data

Volume = 1526.81 mm³

Height = 19mm

Formula of volume of cone:

V= [tex]\frac{1}{3}[/tex]πr²h

Equating values,

1526.81 = [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]r²×19

[tex]\frac{1526.81(3)(7)}{22(19)}[/tex] = r²

76.7 = r²

r = 8.75

So,

Radius of the cone is 8.75mm.

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Answer:

The derivative of a function in a point is the slope of the graph in that point, so the graph of the function's derivative shows the slope of the function at any point. It is useful because we can say if the function is increasing or decreasing using the graph of the function's derivative. Where the derivative is positive, the graph of the function is increasing and when the derivative is negative, the graph of the function is decreasing.

Answer:  -512

Step-by-step explanation:

to answer this problem you need to understand the sequence and hen extrapolate the sequence out until you get to the seventh term (which would be your answer).

looking at -4, -8, -16

First we clearly see that each number is a negative and an even number. going beyond this we see -4 goes into -8 twice and -8 goes into -16 twice (in other words the next number in the sequence is always double the proceeding number). Also, each number is an even factor of four which can help us with double checking at the end!

Can also be seen as:

Double check by going back and reviewing you math as well as making sure each answer is even and divisible should be divisible by four!

I hope this helps!

P.S.

As this addition is rather tedious you could also times each previous answer by 2 .

example:

-64 times 2 = -128

 (previous number in sequence) times 2 = (next number in sequence)

The values of x and y in the functions are

Function 1

This is given as

y = 6x + 8

When x = -6, we have

y = 6 x -6 + 8

Evaluate

y = -28

When the equation y = 20, we have

20 = 6x + 8

Evaluate the like terms in the above function

6x = 12

Divide by 6

x = 2

Function 2

This is given as

y = 2/3x

When x = -6, we have

y = 2/3 x -6

Evaluate

y = -4

When the equation y = 20, we have

20 = 2/3x

Evaluate the like terms in the above function

20 = 2/3x

Divide by 2/3

x = 30

Function 3

This is given as

y = -x + 5

When x = -6, we have

y = -6 + 5

Evaluate

y = -1

When the equation y = 20, we have

20 = -x + 5

Evaluate the like terms in the above function

x = -15

Function 4

This is given as

y = 6.5x + 7

When x = -6, we have

y = 6.5 x -6 + 7

Evaluate

y = -32

When the equation y = 20, we have

20 = 6.5x + 7

Evaluate the like terms in the above function

6.5x = 13

Divide by 6.5

x = 2

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Lengths are:

Side A = 4.25

Side B = 6.25

Side C = 9.25

The perimeter is the length of the shape's perimeter. It is determined by adding up all of the shape's sides. It is linearly stated and one-dimensional. Area, on the other hand, quantifies how much space a shape takes up. It is stated in square units and has two dimensions. The total distance around a shape, or the sum of its side lengths, is the shape's perimeter. Units used to measure perimeter (P) include millimeters (mm), centimeters (cm), and meters (m).

Given Data

A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B

Side A = 2Side B - 2

Side C = Side B + 3m

Perimeter = Sum of all sides

Perimeter = Side A + Side B +Side C

Equating values

26 = 2SideB - 2 + Side B + Side B + 3

26 +2 - 3 = 4 Side B

25 = 4 Side B

Side B = [tex]\frac{25}{4}[/tex]

Side B = 6.25

Side A = 2(2.25) -2

Side A = 4.25

Side C = 6.25 +3

Side C = 9.25

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Answer: B. y = 20x +20

The score for a student that spent 3.8 hours studying is expected to be 96.

Step by step solution:

The point-slope form of a linear equation is y = mx + b, where m is the slope and b the intercept with the y-axis.

To find the line that fits the data and model the relationship, we need to find the slope. Let

y = Test score

x = Study time (hours)

Two pair of coordinates from the line are (2, 60) and (3, 80):

We have m = 20, and b = 20 (intercept with the y-axis)

The equation that model the relationship is:

Second Part. Basing ourselves on the above equation, estimate the score for a student that spent 3.8 hours studying x = 3.8.

The score for a student that spent 3.8 hours studying is expected to be 96.