Find the area of the shaded region.

So the answer is 12p-7q-4

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

12p - 7q - 4

Step-by-step explanation:

In the absence of instructions here, I can only assume that you want to simplify this expression.

4p + 8p - 32 - 7q + 28  =  12p - 7q - 4

Answer:

y= (2/3)x - 4

Step-by-step explanation:

To answer this you'll want to use the slope intercept form of a line:

y= mx + b

So to solve essentially you just have to find the values for m and b

- m represents the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

You can figure that b = -4 because the line will cross the y-axis when x = 0, and you are given the point on the line (0,-4), where x is equal to 0.

Now to find the slope of the line, since you are given two points on the line you will want to use the slope equation:

slope = [tex]\frac{y1-y2}{x1-x2}[/tex]

So you can assign each of the two points a number (1 or 2) where its values are equal to (x1, y1) or (x2, y2). It does not matter which point gets which number.

In this example:

We will assign the point (6,0) to be (x1, y1),

and we will assign the point (0, -4) to be (x2, y2)

So we end up with the following:

m= [tex]\frac{0- (-4)}{6-0}[/tex]

m=  [tex]\frac{0+4}{6}[/tex]

m=  [tex]\frac{4}{6}[/tex]

Simplify the fraction:

m = [tex]\frac{2}{3}[/tex]

From there you just substitute in for m and b into the slope intercept equation

Answer:

2

Step-by-step explanation:

14x + 2 = 30

14x = 28

x = 2

Answer:

x =2

Step-by-step explanation:

9x + 2+ 5x = 23 +7

Combine like terms

14x +2 = 30

Subtract 2 from each side

14x +2-2 = 30-2

14x = 28

Divide each side by 14

14x/14 = 28/14

x = 2

Answer:

CD

Step-by-step explanation:

Apex

The name of the savings account that offers higher interest rates, but in which a person's money must stay deposited for a specific amount of time is B. CD.

Money market account, Certificates of deposits (CD) and the regular savings account are all different types of savings account.

Regular savings account has only lower interest rate while both CD and Money market account have higher interest rates.

And the money must be stayed in the account for a fixed period of time in CD accounts. This is not required in the money market accounts.

Thus, CD is the correct answer.

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Answer: A  y= -4x + 2

Step-by-step explanation:

y= mx + b

when x is 0, y is 2 which you make the y intercept (b) 2

going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4

:)

Answer:

  3 or 4, depending on the intended meaning of [x]

Step-by-step explanation:

Perhaps you mean ...

  [tex]\displaystyle f(x)= \lfloor x\rfloor -5\\\\f(8.6)=\lfloor 8.6\rfloor-5=8-5=3[/tex]

__

On the other hand, perhaps you mean ...

  [tex]\displaystyle f(x)=\lceil x\rceil -5\\\\f(8.6)=\lceil 8.6\rceil-5=9-5=4[/tex]

Answer:

F(y^2) = 1/ (y^2-3)

Step-by-step explanation:

F(x) = 1/ (x-3)

Replace x with y^2

F(y^2) = 1/ (y^2-3)

Answer: f(y^2) = 1/((1/(x-3))^2-3)

Step-by-step explanation:

To start to understand this equation realize y = f(x) but f(x) gives a little bit more information specifically to define x as whatever is in the parenthesis of f(_).

For example f(x) = x/2

so lets say x = 2

so "f(2) = 2/2" or "y = 1 when x = 2"

In this equation y or f(x) = 1/(x-3)

so to get f(y^2) = 1/(x-3)

square the value of y and plug it into 1/(x-3) as the value of x

f(y^2) = 1/(y^2-3)

Answer:

Personally, the steepest ladder I would be willing to climb would be a ladder with 2 meters long, that's it, because I don't like hights.

On the other hand, the shallowest ladder would be the nearest to the ground level possible, because, as I said before, I don't like being to far away from ground level.

(The question asked a personal perspective)

Answer: The height of the model on the right is 22.5 cm .

Step-by-step explanation:

We can see that , the given different models of the same triangular-shaped garden are similar.

For the first model 1 cm = 3.75 m

whereas for the second model 1 cm = 2.5 m

Now , the constant rate of proportion for this (k) = [tex]\dfrac{3.75}{2.5}=\dfrac{375}{250}=1.5[/tex]

Now , if height of the model on the left is 15 cm , then the height of the model on right = 15 x k

= 15 x 1.5

= 22.5 cm

Hence, the height of the model on the right is 22.5 cm .

Answer:

30 cm

Step-by-step explanation:

Answer:

28.26 ft^2, 18.84 ft

Step-by-step explanation:

We are given a circle with a radius of 3 feet;

[tex]Area of Circle = \pi * ( r^2 ) = \pi * ( 3^2 ) = 9\pi \\[/tex]

[tex]Circumference = 2 * \pi * r = 2 * \pi * ( 3 ) = d * \pi, d - diameter,\\Circumference = d * \pi = 6\pi[/tex]

[tex]If \pi = ( About ) 3.14 -\\ Solution ; Area = ( About ) 28.26 , & Circumference = ( About ) 18.84[/tex]

Area= 28.27ft2

Circumference= 18.85ft

Sorry I couldn't write it how your teacher wanted it but that part didn't make sense to me. Here are the answers anyway. Hope it helped!

Answer:

50

Step-by-step explanation:

it is the smallest side

Answer: 460 Workers

Step-by-step explanation: This is pretty simple, we know there's 198 men...and the ratio is 3:4.

198 ÷ 3 = 66

66 * 4 = 264

There are 264 female workers, and 196 male workers...

264 + 198 = 460

In total, there are 460 workers.

I hope this helps!

Answer:

7.1 m

Step-by-step explanation:

A cube has 6 congruent square faces.

Given the surface area = 302.46 m² then the area of one face is

302.46 ÷ 6 = 50.41 m²

The area of a square = s² ( s is the side length ), thus

s² = 50.41 ( take the square root of both sides )

s = [tex]\sqrt{50.41}[/tex] = 7.1 m

The length of each side of the cube is 7.1 m

Answer:

x = - 6/7

Step-by-step explanation:

To start, 1x is just 1 times x, which you can just write as x.

x+3 = 8x+9

Then, you can bring x over to the other side of the equation, meaning it becomes -x. You can also think about subtracting x from both sides so it cancels out on the left.

3 = 8x+9-x

Next, do the same for the 9, so your equation looks like this:

3-9 = 8x-x

Just simplify it:

-6 = 7x

Finally, divide -6 by 7 to find x.

So, x = -6/7

Answer:

-1

Step-by-step explanation:

Evaluate for x=0

sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2

sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2

= −1

Answer:

sinx

Step-by-step explanation:

sin^2 + cos^2 = 1 (pythagorean identity)

therefore we take the square sin and cos out to make a 1

sin2x + sinx + cos2x - 1 sinx sinx - 1 sinx - 2

left with sinx -1 +1 =

sinx because the 1s cancel out

Answer:

10

Step-by-step explanation:

The range is the largest number minus the smallest number

34 - 16 =18

The interquartile range is the right side of the box minus the left side of the box

29-21 = 8

Range - IQR = 18-8 = 10

Answer:

10

Step-by-step explanation: i got it right on test

Answer: The answer is "B"

Step-by-step explanation: You go along the x-axis first and then you look for the y-axis

Answer:

The correct answer is B

Step-by-step explanation:

Hope this helps!

Answer:

1 hour

Step-by-step explanation:

Let's assume that Patrick is travelling on a straight line throughout the whole path in order to minimize the distance.

The number of miles that he can travel on a full tank is:

[tex]m = 5\ mpg*4\ gallons\\m=20\ miles[/tex]

The distance travelled by Patrick in one hour (from 2p.m. to 3p.m.) is:

[tex]d^2=6^2+8^2\\d=\sqrt{100}\\ d=10\ miles[/tex]

If he is travelling at 10 miles per hour, and he could travel for a total of 20 miles, then the time remaining before the tank runs out of gasoline is:

[tex]t=\frac{20-10}{10}\\ t=1\ h[/tex]

If he continues at this rate, the gas will last for 1 more hour.

Answer:

c = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 48² + 14² = 2304 + 196 = 2500 ( square root both sides )

c = [tex]\sqrt{2500}[/tex] = 50

This question is incomplete because it lacks the appropriate diagram. Find attached to this answer the complete diagram

Question:

Find the area of the shaded segment. Round your answer to the nearest square centimeter.

a) 24 cm²

b) 23 cm²

c) 21 cm²

d) 22 cm²

Answer:

d) 22 cm²

Step-by-step explanation:

We have Area and a Triangle in that diagram.

In other to find the shades segment , we have to find the Area of the triangle and the Area of the sector

Step 1

Area of a Triangle

= 1/2 × a × b × sin θ

Where θ = 120°

a = 6 cm

b = 6 cm

Area of the triangle = 1/2 × 6 × 6 × sin 120°

= 15.59 cm²

Step 2

Area of the sector

The formula is given as

Area = πr²θ/360

r = radius = 6cm

Area = π × 6² × 120/ 360

Area = 37.699111843cm²

Approximately = 37.70 cm²

Step 3

The Area of the shaded segment = Area of the sector - Area of the triangle

= 37.70cm² - 15.59cm²

= 22.11 cm²

Approximately to the nearest square centimeter

= 22 cm²

Answer:

a = - 7

Step-by-step explanation:

Given

5 + 2a = - 9 ( subtract 5 from both sides )

2a = - 14 ( divide both sides by 2 )

a = - 7

Answer:

a = -7

Step-by-step explanation:

5 + 2a = -9 {Subtract 5 form both sides}

5 + 2a - 5 = -9 - 5

2a = -14

Divide both sides by 2

2a/2 = -14/2

a = -7

Answer:

She made 40% of her shots.

Step-by-step explanation:

First, you would subtract 10 - 6 = 4.

Second, you would make 4/10 a decimal to convert it to a percent by moving the decimal point to places to the right = .40 = 40%.

Your answer is 40% of her shots were made.

Beth made 40 percentage of  shots.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

The total number of shots taken by Beth = 10

The missed shots by Beth= 6

The Shots which are made by Beth = 10-6 =4

The percentage of shots that Beth make,

= 4/10×100

=40%

40% shots Beth made during contest.

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Answer: 3m+2=-10 does not have the same solution as the rest of the equations

Step-by-step explanation:

3m+2=-10 (m= -4)

2-3m=-10 (m=4)

-10=-3m+2 (m=4)

-3m+2=-10 (m=4)

-3m+2=-10 (m=4)

Answer: 3 seconds

Step-by-step explanation:

Hi, the correct equation is d (t) = 144- 16 t²

So, to answer this question we have to analyze the information given:

When the car reaches the ground the distance, d (t) of the car from the ground is 0.

0 = 144- 16 t²

Solving for t:

16 t² =144

t²=144/16

t²= 9

t = √9

t = 3 seconds  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C

Step-by-step explanation:

t>3

Answer: 73.71

Step-by-step explanation:

Answer: $73.71

Step-by-step explanation:

So the right options are:

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Interest earned is $8.75

Total amount of money earned = 708.75

Step-by-step explanation:

Principal = 700

Rate =  2.5%

Time = 6 months = 6/12 years = 0.5 years

Interest = PTR/100

= 700x0.5x2.5/100

= 8.75

Total amount = P + I

= 700 + 8.75

= 708.75

Answer:

To convert from a decimal to percent, multiply a decimal by 100 and add the percent sign.

Example: 0.10 becomes 0.10 x 100 = 10%

Example: 0.22 becomes 0.22 x 100 = 22%

To convert from a percent to a decimal, divide a percent by 100 and remove the percent sign.

Example: 10% becomes 10/100 = 0.10

Example: 22% becomes 22/100 = 0.22

Hope this helps!

:)

Answer:

Sid found the reciprocal of the scale factor.

Step-by-step explanation:

I know this because when finding scale factor the formula is the image/ pre-image so this means that if you substitude the known value you would get 20/4 which is equal to 5 and sid said the answer was 1/5 and the recipcal of that is 5.

Answer:

Sid calculated the scale factor to be One-fifth. What error, if any, did Sid make when he calculated the scale factor?  Option A

(A) Sid found the reciprocal of the scale factor.     100% Answer

Step-by-step explanation: