Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x, x=1, and y=1 is revolved around the line y=-2?

Answer:

First shape : 204cm^2

Second shape : 57in^2

Step-by-step explanation:

For the first shape :

The front and back triangles are 3 * 8 / 2 which gives us 12 on each side.

The side rectangles are 5 * 10 which is 50 on each side.

The bottom rectangle is 10 * 8 which is 80.

Add them all up and you get 204.

For the second shape :

The triangles are all congruent and the area is 3 * 8 / 2, so we get 12 on each side.

Then the bottom square is 3^2, which is 9.

Add them all up together and you get 57.

I think it's 75 if wanting to add up to 180

Answer:

n=4

Step-by-step explanation:

Attachment has my work.

you would take 264+77+150=491in2

The answer is 491in squared

Answer:

The answer is negative nine

Step-by-step explanation:

When it comes to x = ?, divide the ANSWER by the mulitplicand. Example, -4x = 36 can be translated to 36 = -4 TIMES X, which here you have to use your head. Negatives cancel each other and the answer is positive, therefore -4 * -9 = 36.

Answer:

i think it would be 30

Step-by-step explanation:

Answer: =86

Step-by-step explanation:

* Hopefully the picture helps:) Mark me the brainliest:)

∞ 234483279c20∞

After solving the expression, the value get will be equal to 38.33.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data,

28+87 = 115

Then it is divided by 3

115/3 = 38.33

The value obtained is equal to 38.33.

To know more about arithmetic operation:

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One way to do this is to consider what the average of these integers is. It would be 519/6, or 86.5. This means the six integers are "centered" around 86.5: they would be 84, 85, 86, 87, 88, and 89 (there are three numbers greater than 86.5 and three less than 86.5 in this list).

Answer:

14,670

Step-by-step explanation:

3,577 + 5,214 + 5,879 =14,670. Hope this helps! ☺

Answer:

x = 54

Step-by-step explanation:

2x + 2 = 3x - 52

-2x -2x

2 = x - 52

2+52 = x-52 +52

54 = x

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

[tex](152)_b = 0x6A[/tex]               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

[tex](6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106[/tex]

⇒[tex]0x6A=106[/tex](decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, [tex](152)_8[/tex]

Substitute this in [1] we have;

[tex](152)_b = (152)_8[/tex]

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

Do u want me to translate it or what???

Answer: B, 70 inches.

Step-by-step explanation:

Let's start slow and go shape by shape.

Based on the information we have, we know that the length for the rectangle is 8 inches by 7 inches. 8*7 = 56, so we have one of the answers.

Next, we do the triangle. Based on the information we have, we know that the triangle is 4 inches by 7 inches divided by 2. 4*7 = 28 [tex]\frac {28}{2} = 14[/tex]

Adding 14 and 56, we got the answer to be B, 70 inches.

Answer:

x=6, y=63

Step-by-step explanation:

since both equal y, they equal each other-

8x+15=x+57

7x=42

x=6

then to solve for y-

y=(6)+57

y=63

The solution to the system of equations y = 8x + 15 and y = x + 57 is found via substitution, yielding x = 6 and y = 63 as the answer.

To solve the system of equations y = 8x + 15 and y = x + 57, we can use the method of substitution or elimination. However, since both equations are already solved for y ,, the most straightforward approach is substitution, implying that 8x + 15 = x + 57. To find the value of x, we subtract x from both sides and subtract 15 from both sides, yielding 7x = 42. Dividing both sides by 7, we find that x = 6. Substituting x = 6 into either of the original equations, for instance, y = 8(6) + 15, gives us y = 63. Therefore, the solution to the system of equations is x = 6 and y = 63.

Answer:

16*j+4

16+8*4

16+32

48

Step-by-step explanation:

Answer:

y = 13x

Step-by-step explanation:

First we need to take the number miles the Johnson family drove and divide it to the number of gallons of gasoline used to find how many miles per gallon

Miles per gallon = 52/4

Miles per gallon = 13

Now that we know how many miles per gallon, let's make an equation to find how much they can travel on a full tank of 15 gallons.

Let y = number of miles traveled

Let x = number of gallons

y = 13x

Now let's see how much they can travel in 15 gallons.

y = 13x

y = 13(15)

y = 195 miles

So the Johnson family can drive 195 miles on a full tank of 15 gallons of gasoline.

Answer:

$60

Step-by-step explanation:

regular price=x

60% of x = 36

60/100 * x= 36

x=36/0.6

x=60

Answer:

[tex]\frac{6}{10} = \frac{3}{5}[/tex]

Step-by-step explanation:

You have to divide this by "2"

Answer: 3/5

Step-by-step explanation: 6/10 can be divided by 2 because they are both even numbers then when you can no longer divided them it is simplified

Answer:

.587

Step-by-step explanation:

Slope is rise over run.

rise/run=37/63=.587

Answer:

A point represents a place/location.

Step-by-step explanation:

A point is used to locate a place in a map. It has no length, width and height.

The point is an undefined term. We use the point as undefined term and using the point we define line, line segment, angle and so on.

So a pointed represented location in a xy-coordinate plane.

Answer:

36

Step-by-step explanation:

Equation:  Schools with foreign language program = 0.30(120 middle schools).

Solution:      "                                                                = 36

36 of these 120 middle schools have a foreign language program.

Answer:

36 schools have a foreign language program

Step-by-step explanation:

Equation: 30/100 *120=x

Solution: 3600/100=x

               36=x

Answer:  c. i√2

Step-by-step explanation:

[tex]\dfrac{\sqrt{-12}}{\sqrt6}=\dfrac{\sqrt6\cdot \sqrt{-2}}{\sqrt6}=\sqrt{-2}=\boxed{i\sqrt2}[/tex]

Split the second term in 2x^2 + 7x + 3 into two terms

2x^2 + 6x + x + 3

Factor out the common terms in the first two terms, then in the last two terms;

2x(x + 3) + (x + 3)

Factor out the common term x + 3

= c: (2x + 1)(x + 3)

x = 5

y = -4

4x + y = 16

multiply 2nd equation by 2

4x + 6y = -4

subtract equations

0 -5y = 20

-5y = 20

y = 20 ÷ -5

y = -4

substitute y = -4 to find the value of x

4x + (-4) = 16

4x - 4 = 16

4x = 20

x = 5

4.85×88=$426.80.

1) $426.80 is the answer

Answer:

TRANSFORMATION is a process by which one figure, expression, or function is converted into another one of similar value.

TRANSFORMATION is the induced or spontaneous change of one element into another by a nuclear process.

TRANSFORMATION is the genetic alteration of a cell by introduction of extraneous DNA, especially by a plasma.

Final answer:

In Biology, transformation involves the uptake of external DNA by a cell, leading to changes in its morphology and physiology. This process is commonly observed in bacteria, such as Streptococcus pneumoniae. It can result in the conversion of a non-virulent strain into a virulent one.

Explanation:

Transformation in Biology refers to the process in which external DNA is taken up by a cell, resulting in a change in its morphology and physiology. This genetic change through gene transfer is commonly observed in prokaryotes, such as bacteria. For example, in the case of Streptococcus pneumoniae, the bacterium that causes pneumonia, transformation can lead to the conversion of a non-virulent strain (rough) into a virulent one (smooth).

Answer:

yes

Step-by-step explanation:

If the sequence is geometric then the common ratio r between consecutive terms will be equal.

[tex]\frac{96}{-48}[/tex] = - 2

[tex]\frac{-192}{96}[/tex] = - 2

[tex]\frac{384}{-192}[/tex] = - 2

The common ratio between terms = - 2

Hence the sequence is geometric

To evaluate the expression (6^7)(3^3)/(6^6)(3^4), simplify each term, resulting in 6^10 / 6^10, which equals 1.

To evaluate the expression (6^7)(3^3)/(6^6)(3^4), we can simplify each term first. The numerator can be simplified as (6^7)(3^3) = 6^(7+3) = 6^10. The denominator can be simplified as (6^6)(3^4) = 6^(6+4) = 6^10. Therefore, the expression simplifies to 6^10 / 6^10, which is equal to 1. So the value of the expression is 1.

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Answer:

x = -2

Step-by-step explanation:

The formula for the axis of symmetry is;

x = -b/2a

In this case;

b = 4 , a = 1

Therefore;

x = -4/2(1)

  = -2

Thus; the axis of symmetry is x = -2

Answer:

x = -2 is the axis of symmetry.

Step-by-step explanation:

We have given the function:

f(x)=x²+4x-19

We have to find the axis of symmetry.

We know that the formula for axis of symmetry is:

x = -b /2a

In this equation, b = 4 , a = 1

Putting these values we get,

x = -4/2(1)

x = -4/2

x = -2

x = -2 is the axis of symmetry of this function.