Find the area of the shaded region. Leave your answer in terms of pi.

A. (243pi+162) ft^2
B. (243pi-162) ft^2
C. (27pi+162) ft^2
D. (27pi-162) ft^2

Answer:D

Step-by-step explanation:

-9+9=0

Answer:

Step-by-step explanation:

Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D

Answer:

600 Gumballs in total

Step-by-step explanation:

Write it as a proportion.

25/100 = 150/x

25x = 15000

x = 600 gumballs

OR

You could multiply 150 by 4 because 25% equals 1/4.

Answer:

A

Step-by-step explanation:

The expression 5 + 2x typically means 5 plus 2 times x, or the sum of 5 and the product of 2 and x. Hence correct options are B and E.

The expression 5 + 2x can have multiple interpretations depending on the context, but most commonly, it represents the following:

The expression represents 5 plus 2 times x.

The expression represents 5 plus x plus x, which is another way of stating the distributive property of multiplication over addition.

The expression represents the sum of 5 and 2x, which can be thought of as adding the number 5 to the product of 2 and x.

It does not represent the product of 5 and 2x nor does it indicate additions of 5, 2, and x independently (without multiplication).

Answer:

x = e³

Step-by-step explanation:

Using the property of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

19 + 2lnx = 25 ( subtract 19 from both sides )

2lnx = 6 ( divide both sides by 2 )

lnx = 3 [ note lnx = [tex]log_{e}[/tex] x ]

x = e³

Answer:

The correct answer is D 20.09

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve indices problems you need to know the laws of indices.

The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0

law 1

aᵇ * aⁿ = aᵇ⁺ⁿ

example 5³ * 5⁵ = 5³⁺⁵= 5⁸

law 2

aᵇ / aⁿ = aᵇ⁻ⁿ

example 7⁵/ 7³ = 7⁵⁻³ = 7²

law 3

(aᵇ)ⁿ = aᵇⁿ

example (5³)⁴ = 5³ * 5⁴ = 5¹²

law 4

a⁰ = 1

example 8⁰ = 1

law 5

a⁻ⁿ = 1/aⁿ

example 7⁻² = 1/7² = 1/49

law 6

a^¹/ₙ = ⁿ√a

example 27^¹/₃ = ∛27 = 3

law 7

a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ

example 8^²/₃ = (∛8)² = (2)² = 4

Answer:

C!

Step-by-step explanation:

To find the the mean add all the numbers and divde by the number of numbers. The sum of all the numbers is 56. There are 7 numbers.

56/7 is 8.

B

Because I like the letter b so ha

Answer:

3 and 7/10

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

Answer:

755 divided by 5 would be 151

Answer:

Option A is correct.

Step-by-step explanation:

In this question the sale price and the original price of the shoe purchased is given. We need to find the amount of discount Jessica has received for purchasing shoes on sale.

Sale Price = $45.00

Original Price = $60.00

Discount she received=?

Discount received = Sale Price/Original Price

                               = 45/60

                               = 0.75

Converting it into percentage:

Discount received = 0.75 * 100

                              = 75%

So, Option A is correct.

Jessica received a 25% discount on the suede shoes she purchased during the Leather Emporium's Semi-Annual Clearance Sale.

The subject of this question is discount percent. It is inferred from the question that Jessica purchased shoes worth $60.00 at a reduced price of $45.00. To compute the discount she got, we need to subtract the sale price from the original price, and then divide that result by the original price, and multiply it by 100 to get it in percentile form.

In this case, the discount received is calculated as (($60 - $45)/$60) * 100 = 25%. So, the correct answer to the question 'If Jessica paid $45.00 for the shoes originally priced at $60.00, how much of a discount did she receive?' is B. 25%.

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The answer is B . Please mark as brainliest :)

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.

If a line passing through two points then the slope of the line is

[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]

The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is

[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is

[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]

[tex]m_1=m_2[/tex]

Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.

ANSWER

[tex]y (6)= \frac{20}{ {e}^{3} } [/tex]

EXPLANATION

The given equation is:

[tex] \frac{dy}{dt} = - 10 {e}^{ - \frac{t}{2} } [/tex]

We integrate with respect to t to get,

[tex]y = 20 {e}^{ - \frac{t}{2} } + k[/tex]

The initial condition is y(0)=20

We apply the initial condition to get,

[tex]20= 20 {e}^{ - \frac{0}{2} } + k[/tex]

[tex]k = 0[/tex]

This implies that;

[tex]y = 20 {e}^{ - \frac{t}{2} } [/tex]

[tex]y (6)= 20 {e}^{ - \frac{6}{2} } [/tex]

[tex]y (6)= 20 {e}^{-3} [/tex]

Or

[tex]y (6)= \frac{20}{ {e}^{3} } [/tex]

The required solution is [tex]y(6) = 20e^{-3}[/tex]

Given the following differential equation [tex]dy/dt=-10e^{-t/2}[/tex]

To get the value of y, we will integrate the equation to have:

[tex]y=-20e^{-t/2} + k[/tex]

Given that y(0) = 20, hence;

[tex]20=-20e^{-0/2} + k\\ 20 = 20 + k\\ k = 0[/tex]

Hence the solution to the given integral is [tex]y=-20e^{-t/2} [/tex]

Next is to get y(6)

[tex]y(6)=-20e^{-6/2} \\ y(6) =20e^{-3}}[/tex]

Hence the required solution is [tex]y(6) = 20e^{-3}[/tex]

Learn more on differentiation here: https://brainly.com/question/25081524

The correct answer is B

We can simply solve to see if it is correct.

Apply the distributive property.

.7*4k-.7*12

2.8k-8.4

This matches the example given in the question.

Hope this helps!

Answer:

B

It can not be c or d because you can't combine unlike factors. It is not a because 0.07 * 4K is not 2.8K

Answer:

it's A

Step-by-step explanation:

2x-y=6+2x-2y=4 start moving the numbers

Answer:

( 4 , 2 )

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

2 x - y = 6

2 x - 2 y = 4

x = 4 and y = 2

(2 × 4 )- (2 × 2) = 8 - 4 = 4

( 2 × 4 ) - 2 = 8 - 2 = 6

Answer:

190,208

Step-by-step explanation:

732,178 + 167 = 732,345

732,345 - 542,137 = 190,208

Question : 732,178 + 167 - 542,137

Answer : 190208

Step-by-step explanation :

732,178 + 167 = 732345

732345 -  542,137 = 190208

Hope this helps :)

Have a great day !

5INGH

It’s C) , I believe..

Answer:

option C

Step-by-step explanation:

When we use the distance formula for two points ( x, y ) and ( x', y¹ )

Then formula is (distance)² = (x - x¹)² + (y - y¹)²

This is quite similar to the formula used in a right angle triangle to determine hypotenuse

(Hypotenuse)² = (base)²+(height)²

Therefore, option C is the answer.

Answer:

110

Step-by-step explanation:

Answer:

Jesus

Step-by-step explanation:

Why all this dish soap. Sounds like that vine.

Answer:

p(A) = 0.55

p(b) = 0.45

Step-by-step explanation:

Experimental probability = [tex]\frac{Number of favorable outcomes}{Total number of outcomes}[/tex]

total students = 55 + 45   ⇒ 100

let A be the probability that students brought lunch from house = [tex]\frac{55}{100}[/tex] ⇒ 0.55

let B be the probability that students order school lunch = [tex]\frac{45}{100}[/tex] ⇒ 0.45

Answer:

97.6

Step-by-step explanation:

test

The amount of three-dimensional space enclosed by a closed surface. The volume of the object is 97.6 in³.

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

The volume of the object is the difference between the volume of the cylinder and the volume of the cone. Therefore, the volume of the object can be written as,

The Volume of object =  Volume of cone - Volume of cylinder

[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}[/tex]

Since π and radius of the cone and cylinder are common, therefore the equation can be written as,

[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}\\\\\\\text{Volume of Object} = \pi r^2(h_{cylinder} - \dfrac13 h_{cone})[/tex]

As it is given that the radius of the figure is 2 inches, and the height of the cylinder is 8 inches while the height of the cone is 0.7 inches, therefore, the volume can be written as,

[tex]\text{Volume of Object} = \pi \times (2^2) \times (8 - \dfrac{0.7}{3} ) = 97.6\rm\ in^3[/tex]

Thus, the volume of the object is 97.6 in³.

Learn more about Volume:

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[tex]53 + x \leq 60[/tex]

53 is what he's driving at, x is how much faster he can go, 60 is the speed limit.

If we solve it, we can see that Mr.Erikson can go 7 miles per hour faster.

hey buddy how's it going?

B.

5 squared + 12 squared = x squared

5 squared = 25

12 squared = 144

144+25 = 169

Square root of 169 = 13

Hope this helps you!! ❤️❤️

Answer: B.

Step-by-step explanation:

In B, opp=5 adj = 12 hyp=x

Using pythagoras theorem

hyp² = opp² + adj²

x² = 5² +12²

x² = 25 + 144

x² = 169

x=√(69)

x=13

B is the only triangle with a hypotenuse whose length is interger.

Looking at A,

x² = 4² +2²

x= √(20) =4.47

x is not an interger

lets take c and see,

x² = 2² +5²

x = √(29) = 5.385, its also not an interger.

Now, we will take the last one and check

x² = 8² +14²

x=√260 = 16.12, it is not an interger

There B is the only triangle with an integer hypotenuse.

Answer:

x=6

Step-by-step explanation:

x-2 = sqrt(28-2x)

Square each side

(x-2)^2 = (sqrt(28-2x))^2

(x-2)^2  = 28-2x

FOIL

x^2 -4x+4 = 28-2x

Subtract 28 from each side

x^2 -4x+4-28 = 28-2x-28

x^2 -4x-24=-2x

Add 2x to each side

x^2 -2x-24=-2x

x^2 -2x+2x-24=-2x+2x

x^2-2x-24 =0

Factor

(x-6)(x+4)=0

Using the zero product property

x=6  x=-4

Check for extraneous solutions

x=6

x-2 = sqrt(28-2x)

6-2 =sqrt(28-12)

4 = sqrt(16)

4=4

Solution

x=-4

x-2 = sqrt(28-2x)

-4-2 =sqrt(28+8)

-6 = sqrt(36)

-6=6

Not a solution

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

The value of x given that figure ADCB is an isosceles trapezoid is 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

AC=3x+15 BD=7x-9

Now,

In an isosceles trapezoid, the diagonals are congruent. Hence, we can set AC equal to BD and solve for x: 3x + 15 = 7x - 9. Subtracting 3x from both sides, we get: 15 = 4x - 9. Adding 9 to both sides, we get: 24 = 4x. Dividing both sides by 4, we get: x = 6.

Therefore, by algebra the answer will be 6.

More about the Algebra link is given below.

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Answer:

Triangle (scalene)

Step-by-step explanation:

Polygon is a closed figure.

The names of polygons depends on the number of sides. Some common polygons are:

3 sides - triangle

4 sides - quadrilateral

5 sides - pentagon

6 sides - hexagon

Triangle and Quadrilaterals have their own types as well.

The points G, H , and I are shown in the attached image. As you can see, it creates a 3-sided figure, which is a triangle.

Note: Since all 3 sides have different length, we call it a "scalene triangle"

Answer:

Step-by-step explanation:

I'll do them you arrange.

x +  (x - 1) > 5

If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have

3 + (3 - 1)>5

6 - 1 = 5 not something greater than 5

4 + (4 - 1) > 5

8 - 1 > 5

7 > 5 which is true.

Answer 4

5x - 3x > 9

2x > 9          x must equal 5

2*5 > 9

10 > 9

Answer 5

6x - 14 > 3       add 14 to both sides.

6x - 14+14>3+14

6x > 17            The answer to equality is just about 3. So three is the answer

6*3 > 17

18 > 17

Answer 3

2x - 1 > 0           Add 1 to both sides.

2x > 1                 1 is the answer

2*1 > 1

2 > 1

Answer 1

So all you need do is place them in order. The last one goes first and then the second last one.

ANSWER

9 nickels 8 dimes

EXPLANATION

The simultaneous equations are:

1st equation: n+d=17

2nd equation: 0.05n+0.10d=1.25

Multiply through the second equation by 100.

This the equation:

3rd equation: 5n+10d=125

Make n the subject in equation (1).

n=17-d

Substitute this into equation (3)

5(17-d)+10d=125

85-5d+10d=125

-5d+10d=125-85

5d=40

Divide both sides by 5.

d=8

Put d=8 into n=17-d

This gives:

n=17-8

n=9

Answer:

8 dimes and 9 nickels

Step-by-step explanation:

In this exercise, we got a system of linear equations. We can solve this system by using several methods: substitution, reduction and equalization, and other advanced method call "Cramer's rule".

So, for this exercise we will use the substitution method.

1. Clear n for the first equation.

n + d = 17

n = 17 - d

2. Replace n in the second equation.

0.05n + 0.10d = 1.25

0.05(17 - d) + 0.10d = 1.25

0.85 - 0.05d + 0.10d = 1.25

0.85 + 0.05d = 1.25

3. We solve the obtained equation for d.

0.05d = 1.25 - 0.85

d = (1.25 - 0.85)/0.05

d = 0.40/0.05 = 8

dimes (d) = 8

4. we obtain the value of n using any of the two equations and with d = 8

Using the first equation

n + d = 17

n = 17 - d with d = 8

n = 17 - 8

n = 9

nickels (n) = 9

.

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

So everything will be over 13.

Probability of a white marble being drawn --> [tex]\frac{4}{13}[/tex]

Probability of a blue marble being drawn --> [tex]\frac{3}{13}[/tex]

Probability of a red marble being drawn --> [tex]\frac{6}{13}[/tex]

Now to find the probabilities of more than one being drawn, we can multiply.

Part a :

[tex]\frac{6}{13}*\frac{6}{13}=\frac{36}{169}[/tex]

Part b :

[tex]\frac{3}{13}*\frac{3}{13}=\frac{9}{169}[/tex]

Part c :

[tex]\frac{6}{13}*\frac{3}{13}=\frac{18}{169}[/tex]

Part d :

[tex]\frac{7}{13}*\frac{7}{13}=\frac{49}{169}[/tex]

Final answer:

The probability of drawing a marble of a specific color remains the same after each draw when a marble is replaced in the bag. For a bag of 13 marbles, the probability of drawing a blue marble twice in a row is 3/13 for each draw, assuming replacement after the first draw.

Explanation:

The question asks to calculate the probability of certain outcomes when drawing marbles from a bag with replacement. Considering a bag with a total of 13 marbles (4 white, 3 blue, and 6 red), the probability of drawing a marble of a specific color is calculated by dividing the number of marbles of that color by the total number of marbles in the bag. Since each marble is replaced after it is drawn, the probabilities for the second draw remain the same as the first.

For example, the probability of drawing a blue marble is 3 out of 13. If we replace the marble and draw again, the probability of drawing a blue marble for the second time is still 3 out of 13. The events are independent, and the probabilities do not change after each draw because of the replacement.

Answer:

B - +4.

Step-by-step explanation:

The person does not get 4.5 yards.

1/4, -1/4, and -4 do not work as well because negative numbers express loss, and not gain, and the person does not get any fractions.

Answer:

I believe the answer is B. +4

Step-by-step explanation:

Answer:

A.  2(x2 - 1) = 2(y2 - y1)

Step-by-step explanation:

Perimeter

P = 2W + 2L

W = √(x2 - x1)^2 = x2 - 1

L = √(y2 - y1)^2 = y2 - y1

So

P = 2(x2 - 1) = 2(y2 - y1)

Answer is A.

2(x2 - 1) = 2(y2 - y1)

Answer:

24 units

Step-by-step explanation:

To obtain the dimensions of this rectangle, count the number of blocks in each direction x and y.  I count 7 blocks in the x-direction and 5 in the y-direction.  Thus, the perimeter, P, is P = 2W + 2L, which here equals:

P = 2(5) + 2(7) = 24 units

Answer:

2/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

4 ÷ 2 = 2

6 ÷ 2 = 3

Answer:

2/3

Step-by-step explanation:

4/6 reduces to 2/3.