Solve each equation. y + 20 = 7

pi * d/2 + 5*2+7

It is a half circle

10.99+10+7

27.99

Area of composite figure is 48 square feet.

What do you mean by composite figure?

A compound shape or figure is a two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, and semicircles.

To find the perimeter of a compound 2D shape, add the lengths of the sides. Find individual regions for each part of the compound shape. The area of ​​a composite shape is the sum of its individual areas.

Let the given composite figure be divided into four rectangles A,B,C and D having dimension 3 and 4

Area of rectangle A = 3 × 4 = 12

Area of rectangle A = area of rectangle B = area of rectangle C = area of rectangle D = 12 square feet.

Total area = Area of rectangle A + area of rectangle B + area of rectangle C + area of rectangle D = 12 + 12 + 12 + 12 =48 square feet

Therefore, area of composite figure is 48 square feet.

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The amount of wallpaper that Tomlin remove is 20m²

To determine the amount of wallpaper, we need to know the area.

The formula that is used to calculate the area of a rectangle is expressed as;

A = lw

Such that the parameters of the formula are given as;

Now, substitute the values given in the question, we have;

Area = 5(4)

expand the bracket, we get;

Area = 20m²

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Answer: D

Step-by-step explanation:

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

4.333 meters

Step-by-step explanation:

Given:

We are told that the rope is cut into two pieces and that one (longer) piece is twice the length of the other (short) piece

let the length of the short piece  =  x meters

hence the length of the longer piece = 2x meters

we are also given that the total length of the two pieces is 6.5m

hence,

length of short piece + length of long piece = 6.5 m

in equation form:

x + 2x = 6.5

3x = 6.5  (divide both sides by 3)

x = 6.5/3 meters

we are asked to find the length of the long piece (i.e 2x)

hence

2x = 2 (6.5/3) = 4.333 meters (answer)

Answer:

4 1/3 meters

Step-by-step explanation:

"A 6.5 meter long rope is cut into two pieces one piece is twice as long as other find the length of the long piece."

Let X and Y stand for the short and long segments of rope.  We know that:

X + Y = 6.5 meters

We also learn that:

X = 2 Y      [We'll say X is the long piece]

We can also write this as:  Y = X/2

Use this equation in the first:

X + X/2 = 6.5 meters

(3/2)X  = 6.5 meters

X  = (2/3)(6.5 meters)

Y = (13/3) meters

Y = 4 1/3 meters

X is then 2 1/6 meters

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

The required equation of the line with slope 1/3 is y = 1/3x + 1 shown in the graph B. Option B is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Locate two points on each graph and put the values of the points in the following formula of the slope,

M = (y₂ - y₁) /  (x₂ - x₁)

So, in the graph B we have point (-3,0) and (0, 1)

So slope will be,
m =  1 - 0 / 0 + 3
m = 1/3

Thus, the required equation of the line with slope is y = 1/3x + 1.

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Answer:

80 shots were taken by the basketball player

Step-by-step explanation:

Answer:

she made 20 shots 40% of 60 is 20

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer: 80 miles

Step-by-step explanation:

320miles/8hours= 40mph

40mph=xmiles/2hrs

40*2= 80 miles

Answer:

The correct answer is 5/15

Step-by-step explanation:

The only number out of 1/9, 5/15, 2/3, and 15/5, 5/15 is the only equivalent number to 1/3.

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

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The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.

To determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:

Multiple-choice questions : Short-answer questions = 8 : 5

Let x be the number of multiple-choice questions.

Let y be the number of short-answer questions.

Using the proportion, we can set up the following equation:

8/5 = x/y

8y = 5x

x = (8y)/5

Since the total number of questions on the test is 65, we have the equation:

x + y = 65

Substituting the expression for x from the previous equation:

(8y)/5 + y = 65

(8y + 5y)/5 = 65

13y/5 = 65

13y = 65 * 5

13y = 325

Dividing both sides by 13:

y = 325/13

y = 25

Substituting this value of y back into the equation x = (8y)/5:

x = (8 x 25)/5

x = 40

Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.

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Step-by-step explanation:

The formula to find the interior angle of a polygon is 180(n - 2) over n.

So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.

Now we use algebric method to solve for n.

180n − 360 = 120n

60n = 360

n = 6

Answer:

2=x

Step-by-step explanation:

34 = -2 + 9x + 16 + x

+2     +2             add to both sides

36=9x+16+x

36=10x+ 16        simplify

-16        -16         subtract from both sides

20=10x      

/10  /10               divide on both sides

2=x

PLEASE MARK BRAINLIEST!!!

Answer:

100 is the answer

Step-by-step explanation:

The volume of the rectangular prism is given as follows:

V = 0.9375 cubic inches.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

Hence the volume is given as follows:

V = 1 x 1.25 x 0.75

V = 0.9375 cubic inches.

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Answer:

Justin

unsafe

shrimp

Thicke

choose

Equate

Step-by-step explanation:

tried

The boldface numbers in the quote represent measures of relative risk.

One way to measure the likelihood of an event happening in a particular group is to calculate the relative risk, which compares the probability of the event occurring in that group to the likelihood of the same event occurring in a different group.

The phrase highlighted in bold font, "20 times greater," denotes the proportionate hazard that female smokers face in comparison to their non-smoking counterparts. The second significant figure, which indicates a "10-fold increase," indicates the comparative risk for male smokers compared to non-smokers.

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Answer:

no, it's not.

Step-by-step explanation:

300- 284 = 16

284 - 236 = 48

236 - 156 = 80

156 - 44 = 112

for every one the top line goes up, the bottom line changes too, but it's not at a constant rate. it's not constant, therefore it cannot be linear.

the rate of change formula (or slope formula, they're the same thing) is :

y2- y1/ x2 -x1 and to solve it you plug in the points. x is the same a t and y is h

284-300/ 1-0

-16 /1

-16 (this is the rate of change between the first two points)

236- 284/ 2-1

-48/ 1

-48 (rate of change between the second and third points)

since the rate of change isn't constant, it's not possible for it to be a linear relationship.

Answer:

I  D  K

Step-by-step explanation:

my brains not working right now

Answer:

x = sqrt(5)/2 - 1/2 or x = -1/2 - sqrt(5)/2

Step-by-step explanation:

Solve for x over the real numbers:

x - 2 + x/x + 1 - 1/x = -1

x - 2 + x/x + 1 - 1/x = x - 1/x:

x - 1/x = -1

Bring x - 1/x together using the common denominator x:

(x^2 - 1)/x = -1

Multiply both sides by x:

x^2 - 1 = -x

Add x to both sides:

x^2 + x - 1 = 0

Add 1 to both sides:

x^2 + x = 1

Add 1/4 to both sides:

x^2 + x + 1/4 = 5/4

Write the left hand side as a square:

(x + 1/2)^2 = 5/4

Take the square root of both sides:

x + 1/2 = sqrt(5)/2 or x + 1/2 = -sqrt(5)/2

Subtract 1/2 from both sides:

x = sqrt(5)/2 - 1/2 or x + 1/2 = -sqrt(5)/2

Subtract 1/2 from both sides:

Answer: x = sqrt(5)/2 - 1/2 or x = -1/2 - sqrt(5)/2

Answer:

Kinda vague but here...

Step-by-step explanation:

z*(8-4)
z*(4)
4z

Answer:

more because it is 9 pitchers and 4/7 of energy drink in each

Answer:

-1/2x+y-8=0, y-0, 7/6x+y-6=0

Step-by-step explanation:

First we find the slope of side AB:

6-0/0-(-3) =2

Altitude CD is perpendicular to AB:

slope of CD=-1/slope of AB = -1/2

Since the altitude CD passes through the point C(4, 6), using the point-slope form of the equation of a line, the equation of CD is:

y-6= -1/2*(x-4)

-1/2x+y-8=0

This is the required equation of the altitude from C to AB. The rest of the equations are solved in the same way. Good luck!

The probability that no one in a family of five will be hospitalized in a year 0.2373 .

Let P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year

Then , using equation (1) , we get

          \(0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75\)

The probability that no one in a family of five will be hospitalized in a year is equal to \((P'(E))^n\) where n is the number of member .

   \((P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373\)

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Answer:

Step-by-step explanation:

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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