Determine the volume and the surface area of the three dimension figure

Answer:

[tex]12x^{2} (x^{3}-5)^{3} (x^{4}+3)^{5} +20x^{3} (x^{3}-5)^{4} (x^{4}+3)^{4}[/tex]

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Why did historians choose to study this topic?

Answer:

-53,000

Step-by-step explanation:

Now to find this answer you use the PEMDAS rule now that stands for:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction  

Now the first thing that you do is look for the parenthesis now there is but there is no equation in that so we go to the next one exponents and there are no exponents. So we go to the multiplication and we multiply everything and that is how you get that answer.

Hope it helped!

9514 1404 393

Answer:

  139.39 in

Step-by-step explanation:

The length of a semicircle of diameter D is ...

  C = (1/2)πD

For the given diameter of 27 inches, the length of the curved edge of the figure is ...

  C = 1/2(3.14)(27 in) = 42.39 in

__

The perimeter of the figure is the sum of the side lengths. Clockwise from left, that sum is ...

  P = 27 + 35 + 42.39 + 35 = 139.39 . . . inches

The perimeter of the figure is 139.39 inches.

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

The domain of any exponential function is "all real numbers". Reflecting the graph across the y-axis, by replacing x by -x does not change that.

The domain of g(x) = f(-x) is all real numbers.

9514 1404 393

Answer:

  multiply (×)

Step-by-step explanation:

5 ×4 - 3 +2 ÷1 = 19

Emma would place the multiply (×) operation first.

Answer:

10/21 of the distance

Step-by-step explanation:

2/7 distance

------------------

3/8 tank

The rest of the tank is 8/8 - 3/8 = 5/8

2/7 distance         x

------------------ = ----------------------

3/8 tank              5/8 tank

Using cross products

2/7 * 5/8 = 3/8x

10/56 = 3/8x

Multiply each side by 8/3

10/56 * 8/3 = 3/8x * 8/3

10/3 * 8/56=x

10/3 * 1/7 =x

10/21 =x

10/21 of the distance

Answer:

17,576,000

Step-by-step explanation:

there are 26 english letters (A-Z) and 10 digits(0-9).

there are 3 spaces for letters. therefore Any of the 26 letters can be combined with any 26 other letters and any of those can be combined with any of another 26 letters.

26*26*26= 17576

similarly 10 digits can combined in 1000 ways

10*10*10=1000

17576 letter combination can combine with 1000 digits combination.

so  17,576 x 1000 = 17,576,000 different plates could issue.

Answer:

(A)

Step-by-step explanation:

M=-2

therefore

x¹=3, y¹=-12, x²=6 y²=k

M=(y²-y¹)/(x²-x¹)

-2=(k+12)/(6-3)

-2×3=k+12

-6=k+12

k=-18

Answer:              It would be the first equation because:

Step-by-step explanation:        

In order to be an exponential function, the X

variable has to be in the exponent, that eliminates

the second and fourth answers

       f(X) = 4(3)X

using the point (2,36)

  f(2) = 4 (3)2

         = 4 (9 )

         = 36

The equation which represents an exponential function is f ( x ) = 4 ( 3 )ˣ

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the point on the graph be P ( 2 , 36 )

So , when x = 2 , the value of y = 36

f ( x ) = 4 ( 3 )ˣ   be equation (1)

when x = 2

f ( 2 ) = 4 ( 3 )²

f ( 2 ) = 4 x 9

f ( 2 ) = 36

Hence , the exponential equation is f ( x ) = 4 ( 3 )ˣ

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Answer:

C(5, −5), D(−4, −5)

Step-by-step explanation:

                  9 across

A(-4, 5) ————————— B(5, 5)

     |                                            |

     |          90 square units        |   10 down

     |                                            |

D(-4, -5) ————————— C(5, -5)

Step-by-step explanation:

yah kaun se language mein likha hai aapane

Answer:

the expected number of pairs of people who have the same birthday is 14

Step-by-step explanation:

The computation of the expected number of pairs of people who have the same birthday is as follows:

= 100 (100 - 1) ÷ 2 × 365

= 100 × 99 ÷ 730

= 9900 ÷ 730

= 13.5616

= 14

Therefore, the expected number of pairs of people who have the same birthday is 14

Answer:

657

Step-by-step explanation:

pemdas

The value of the expression 3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]} is 657.

Hence option A is correct.

Given is an expression, 3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]}, we need to simplify it,

Let's break down the expression step by step:

First, let's simplify the expression inside the innermost parentheses:

8 - 2 x 3 = 8 - 6 = 2

Next, let's simplify the expression inside the brackets:

3 x 23 - 2 = 69 - 2 = 67

Now, let's substitute the simplified expression inside the brackets back into the original expression:

(300 - 70 ÷ 5) - 67

Next, let's simplify the expression inside the remaining parentheses:

70 ÷ 5 = 14

Now, let's substitute the simplified expression inside the parentheses back into the expression:

(300 - 14) - 67

Next, let's simplify the expression inside the remaining parentheses:

300 - 14 = 286

Now, let's substitute the simplified expression inside the parentheses back into the expression:

286 - 67

Finally, let's perform the subtraction:

286 - 67 = 219

Now, let's multiply the result by 3:

3 x 219 = 657

Therefore, the value of the expression 3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]} is 657.

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Answer:

A

Step-by-step explanation:

The be the inverse function the domain {4,5,6,7} becomes the range and the range {14,12,10,8} becomes the domain

14 → 4

12 →5

10 →6

8 →7

Answer:

D. When the purchase is greater than $350.

Step-by-step explanation:

Stores prefer to use credit card for customer whose purchase are worth high. The Barnes store manager prefer that customers use credit card for most purchases. When customers buy more than worth of $350, the store manager will prefer to use credit card.

Answer:

B

Step-by-step explanation:

Answer:

d. y+8=2(x-4)

Step-by-step explanation:

There are 2 important parts to this question. First, understanding which slopes are perpendicular. The negative reciprocal of a number will be perpendicular to it. So, since the original slope is -1/2 the new slope should be 2.

Then, remember what the point-slope formula is. The point-slope formula is: [tex]y-y_{2}=m(x-x_{2})[/tex]. So if you plug in the point and slope the new equation looks like, [tex]y--8=2(x-4)[/tex]. Then, simplify for the final answer of [tex]y+8=2(x-4)[/tex].

Answer:

Hes correct ^

Step-by-step explanation:

9514 1404 393

Answer:

  b. y = f(x -3)

Step-by-step explanation:

The translation right h and up k units is ...

  y -k = f(x -h)

Here, the red graph is translated right 3 and up 0, so the translated function is ...

  y = f(x -3)

_____

Additional comment

You can check this if you like by listing a couple of corresponding points:

  y = f(x)

  1 = f(-3) . . . . left-most point on black graph.

The corresponding point on the red graph is (0, 1). Putting this into the equation (b), we get ...

  1 = f(0 -3) = f(-3) . . . . . correct value for f(-3)

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The relation between a function f(x) and its inverse g(x) is ...

  f(g(x)) = g(f(x)) = x

On can compute these functions of functions, or take an easier route and do the computation with a couple of numbers. It is often easiest to use x=0 or x=1. If we find g(f(x)) ≠ x, then we know the functions are not inverses. If we find g(f(x)) = x for one particular value of x, then we need to try at least one more to verify the relation.

__

If we call the two given functions f and g, then we have ...

  A. f(0) = -2/3, g(-2/3) ≠ 0 . . . . not inverses

__

  B. f(0) = -3/2, g(-3/2) = 0 . . . . possible inverses

     f(1) = 4/2 = 2, g(2) = 7/7 = 1 . . . . probable inverses

__

  C. f(0) = -2, g(-2) = 0 . . . . possible inverses

     f(1) = 1/2, g(1/2) = -5/3 . . . . not inverses

__

  D. f(0) = 5, g(5) = 27 . . . . not inverses

_____

Additional comment

Our assessment above is sufficiently convincing to let us choose an answer. If we want to verify the functions are inverses, we need to graph them or compute f(g(x)). The graph in the second attachment shows each appears to be the reflection of the other in the line y=x, as required of function inverses.

Answer:

240 i.e 40*6

Step-by-step explanation:

if rose works 8hrs per day then she works 40 hrs per week (5 days) therefore 40 hrs per 6 weeks =40*6=240

Answer:

40

Step-by-step explanation:

Answer:

The answer for this question is 1

Recall that

tan(x) = sin(x)/cos(x)

and

sin(x) = x - x ³/6 + x ⁵/120 - x ⁷/5040 + …

cos(x) = 1 - x ²/2 + x ⁴/24 - x ⁶/720 + …

Truncate the series to three terms. Then

[tex]\displaystyle \lim_{x\to0}\frac{\tan(x)-x}{x^3} = \lim_{x\to0}\frac{\frac{x-x^3/6+x^5/120}{1-x^2/2+x^4/24}-x}{x^3} \\\\ = \lim_{x\to0}\left(\frac{x-x^3/6+x^5/120}{x^3-x^5/2+x^7/24}-\frac1{x^2}\right) \\\\ = \lim_{x\to0}\left(\frac{1-x^2/6+x^4/120}{x^2-x^4/2+x^6/24}-\frac1{x^2}\right) \\\\ = \lim_{x\to0}\left(\frac{1-x^2/6+x^4/120}{x^2\left(1-x^2/2+x^4/24\right)}-\frac1{x^2}\right) \\\\ = \lim_{x\to0}\left(\frac{1-x^2/6+x^4/120}{x^2\left(1-x^2/2+x^4/24\right)}-\frac{1-x^2/2+x^4/24}{x^2\left(1-x^2/2+x^4/24\right)}\right) \\\\ = \lim_{x\to0}\frac{x^2/3-x^4/30}{x^2\left(1-x^2/2+x^4/24\right)} \\\\ = \lim_{x\to0}\frac{1/3-x^2/30}{1-x^2/2+x^4/24} = \boxed{\frac13}[/tex]

Answer:

It results in no solution.

Step-by-step explanation:

If you subtract x on both sides, this will leave you with 0 ≠ 3. The result is no solution. This is why it is contradictory.

Answer:

Step-by-step explanation:

Area = 34.4/360⁰ * 22/7 r² = 139.6

0.30031/0.30031 r² = 139.6/0.30031

r² =√ 464.8

r = 21.560180 or 21.6

Answer:

55°

Step-by-step explanation:

sin(x°) = [tex]\frac{opposite}{hypotenuse}[/tex]

x° = [tex]sin^-1(\frac{9}{11} )=54.90319877[/tex]

Rounded to the nearest degree, the answer is 55°