Find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi (no approximations)

Answer:

[tex]7\frac{1}{2}[/tex] square feet

Step-by-step explanation:

2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet

Answer:

simple just follow me and mark it brainliest

Step-by-step explanation:

LET THE THREE CONSECUTIVE EVEN INTEGERS BE

(x+2) ,(x+4) ,(x+6)

then

according to the question

4(x+2) – (x+6) = 2(x+4) + 6

4x + 8 – x – 6= 2x + 8+6

3x +2 = 2x + 14

3x – 2x= 14 –2

x= 12

the numbers are

14

16

18

Answer:

The three numbers are 14, 16, 18.

Step-by-step explanation:

Consecutive even integers differ by 2.

You can let the smallest of the three numbers equal x. Then the other two numbers are x + 2 and x + 4.

Now use x, x + 2,and x + 4 to represent the 3 numbers and follow the directions to write an equation. The equation will have only one variable, x, so you can solve for x.

"four times the first" ----->   4x

"minus the third"   ------->    -(x + 4)

"is"  ----->     =

"six more than twice the second"   ------>    2(x + 2) + 6

Put all the pieces in boldface together to arrive at your equation.

4x - (x + 4) = 2(x + 2) + 6

Simplify the parentheses on both sides by distributing.

4x - x - 4 = 2x + 4 + 6

Combine like terms on both sides.

3x - 4 = 2x + 10

Subtract 2x from both sides.

x - 4 = 10

Add 4 to both sides.

x = 14

The smallest number is 14.

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

Answer: The three numbers are 14, 16, 18.

answer and explanation are in the picture.

Answer: A. 2 Decals

Step-by-step explanation: time4learning

The requried Dominic can buy a maximum of 2 decals.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Dominic has $40 to spend, and he will spend $22 for the ticket and $7 for the parking. So, he will have:

$40 - $22 - $7 = $11

left to spend on team window decals.

Each decal costs $4.50, so we can divide the amount Dominic has left by the cost of each decal to find the maximum number of decals he can buy:

$11 ÷ $4.50 ≈ 2.44

Since we can't buy a fraction of a decal, we need to round down to the nearest whole number. So, Dominic can buy a maximum of 2 decals.

Therefore, the answer is A, 2 decals.

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Answer:

a

Step-by-step explanation:

Answer:

number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. a) Find b and c b)

Step-by-step explanation:

Answer:

The last answer D.

Step-by-step explanation:

There is a short trick that I just used to answer this question, all you have to do is add 12 plus 5 to see how many 1/12ths you would have and then add up all the answer options until you get to 17, and the only one that does is the last one, D.

Hope this helps :)

Answer:

Step-by-step explanation:

Step-by-step explanation:

3x+2x=180

5x=180

x=36°

Answer:

QR and ST

Explanation:its right

Answer:

269gallons

Step-by-step explanation:

115/6=19.16

19.16*14=268.33 or round up to 269

using quotient formula

Answer:

i dont know how to help you:(

Answer:

b = 12

Step-by-step explanation:

First, distribute 3/4 to both terms in the parentheses:

3 = 3/4(b - 8)

3 = 3/4b - 6

Now, solve for b:

9 = 3/4b

12 = b

So, the answer is b = 12

Answer:

12

Step-by-step explanation:

3 = 3/4 x (b-8)

Distribute 3/4 through the parentheses

3 = 3/4 b - 6

Multiply both sides of the equation by 4

12 = 3b - 24

Move the variable to the left - hand side and change its sign

-3b = -24 - 12

Calculate the difference

-3b = -36

Divide both sides of the equation by -3

B = 12

Answer:

explanation below

Step-by-step explanation:

f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)

f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5

There are points to be referenced for the graph:

vertex (2 , 13.5)     axis of symmetry: x = 2

roots: (-1 , 0) (5 , 0)

-3/2 : curve downward

This question is incomplete, the complete question is;

Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.

The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A

Answer:

the minimum score needed to receive a grade of A is 88.51

Step-by-step explanation:

Given the data in the question;

Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.

so, The professor has informed the class that 7.93 percent of her students received grades of A

the minimum score needed to receive a grade of A will be:

P( X > x ) = 7.93 %

P( X > x ) = 0.0793

1  - P( X ≤ x ) = 0.0793

- P( X ≤ x ) = 0.0793 - 1

- P( X ≤ x ) = - 0.9207

P( X ≤ x ) = 0.9207

⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207

so, x-μ/σ = InvNormal( 0.9207 )  

x-μ/σ = 1.41

(x - 73) / 11 = 1.41

(x - 73) = 1.41 × 11

(x - 73)  = 15.51

x = 15.51 + 73

x = 88.51

Therefore, the minimum score needed to receive a grade of A is 88.51

Answer:

Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15

Step-by-step explanation:

The complete table:

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bacteria samples analyze each day = 15

The equation for the number of bacteria analyzes after x days.

B = 15x

Now,

x = 1, B = 15

x = 2, B = 30

x = 3, B = 45

x = 4, B = 60

x = 5, B = 75

Thus,

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

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Answer:

[tex]d(n) = - ( {7}^{n - 1} )[/tex]

x=60° because if 150°=90°+60° so a line is 180° consequently

90°+30°+x=180°

120°+x°= 180°

x°= 180°-120°= 60°

Answer:

7:04 p.m.

Step-by-step explanation:

Answer:

7:04

Step-by-step explanation

12-8 + 4

5:52 + 0:08 = 6:00

6:00 + 1:00 + 7:00

7:00 + 0.04 = 7:04

Answer:

3 days

Step-by-step explanation:

First, let's convert 400 meters to km (kilometers):

To find km from m we divide the meters by 1000:

400/1000 = 0.4

Therefore, there are 0.4 km in 1 meter.

Kali runs 10 laps every day, since 1 lap is 0.4 km we can multiply 10 by 0.4 to see how many kilometers they run in 1 day:

(10)(0.4) = 4

Kali runs 4 kilometers every day

Now, we can find how long it will take Kali to run a total of 12 kilometers by dividing 12 by 4

12/4 = 3

It will take Kali 3 days to run a total of 12 kilometers.

I hope this helps!!

- Kay :)

Answer:

13

Step-by-step explanation:

−2+3+4+2−(−3)−5+8

=1+4+2−(−3)−5+8

=1+6−(−3)−5+8

=1+9−5+8

=10−5+8

=5+8

=13

Answer:

All sides are answered as 7. All of them are 7.

Step-by-step explanation:

An equilateral triangle means all sides are the same.

Answer:

$379.24

Step-by-step explanation:

263.72+24.85+131.63+58.29=478.49

478.49-74.25-25=379.24

Hope this helped :)

Plz mark as Brainliest :)

Step-by-step explanation:

Given

f(x) = 5 / 2x - 1

f^-1( x) = ?

Let

y = f(x)

y = 5/2x - 1

Interchanging the roles of x and y we get

x = 5/2y - 1

2y - 1 = 5/x

2y = 5/x - 1

y = (5/x - 1)/ 2

f^-1(x) = ( 5/x - 1) / 2

Hope it will help :)

Answer:

(i)The length of room = 5.5 m and width of the room = 4 m

The length of room with verandah = 5.5 + 2.25 + 2.25 = 10 m

The width of room with verandah = 4 + 2.25 + 2.25 = 8.5 m

Area of verandah = Area of room with verandah – Area of room without verandah = Area of ABCD – Area of EFGH = (AB x AD) – (EF x EH) = (10 x 8.5) – (5.5 x 4) = 85 – 22 = 63 m2

(ii) The cost of cementing 1 m2 the floor of verandah = Rs 200 The cost of cementing 63 m2 the floor of verandah = 200 x 63 = Rs 12,600

Answer:

8.5

Step-by-step explanation:

Twice the difference of a number and 6 equals 5 is written algebraically as 2(x-6)=5, where x is the number. Solving for x:

2(x-6)=5

(x-6)=5/2

x=6+5/2

x=17/2

So the number is 17/2, or, expressed as a decimal number, 8.5