If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?

Answer:

1149.8 m³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here diameter = 13, thus radius = 13 ÷ 2 = 6.5

V = [tex]\frac{4}{3}[/tex] × 3.14 × 6.5³

   = [tex]\frac{4}{3}[/tex] × 3.14 × 274.625

   = [tex]\frac{4(3.14)(274.625)}{3}[/tex] ≈ 1149.8 m³ ( to the nearest tenth )

Answer:

8 packs

Step-by-step explanation:

$4 = 1 pack

$32 = ?

$32 = $32/$4

$32 = 8 packs

Answer:

C) 68 cm

Step-by-step explanation:

Egyptian triangle - 3 4 5

85/5 = 17

51/3 = 17

4 times 17 = 68

51 68 85

Answer:

B. 5 cm3

Step-by-step explanation:

The volume of the oblique pyramid with a square base is 3.33 cm³.

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

the base is about 2 cm long and that the height is about 2.5 cm long.

Now,

Using these values, we can estimate the volume as:

V ≈ (1/3) × Base Area × Height

V ≈ (1/3) × (2 cm)² × 2.5 cm

V ≈ (1/3) × 4 cm² × 2.5 cm

V ≈ 10/3 cm³

V ≈ 3.33 cm³

Therefore, an approximate volume of the pyramid will be 3.33 cm³.

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Answer:

0.15%

Step-by-step explanation:

The Empirical Rule ( 68-95-99.7 Rule) states that almost all data falls within 3 standard deviations of the mean for a normal distribution.  Under the rule:

Given that:

mean (μ) = 594 and standard deviation σ = 96

The percentage of people that all fall outside 306 and 882 = 100% - 99.7% = 0.3%. Therefore the percentage of people that are below 306 = 0.3% / 2 = 0.15%

Answer:

The answer is 120 , as the 25 % of people are getting seven hour sleep and they are 30 in number . As 25% of 120 is 30 , the answer is 30

I hope it helps

Answer:

The answer is 120

Answer:

A. 20 inches

Step-by-step explanation:

Answer:

-5 or 5

Step-by-step explanation:

The n is in absolute value bars. So n could either be -5 or 5

Answer:

300

Step-by-step explanation:

300 times .64 equals 192.

Answer:

28/41

Step-by-step explanation:

Answer:

7(3x+5)

Step-by-step explanation:

When factoring out the GCF you want to find the largest number that can divide into both 21 and 35. The largest number is 7 so you divide 7 from 21e and 35.

Answer:

7(3e+5)

Step-by-step explanation:

Answer:

A) Yes, f and g are both concave down.

Step-by-step explanation:

Answer:

a. 28.

b 20.78.

Step-by-step explanation:

a. f(x) = 0.001(x -  10)(x + 20)(x - 40)

When x = 50

Height = f(40) = 0.001(50-10)(50+20)(50-40)

= 0.001(40*70*10)

= 0.001 * 28,000

= 28 units.

b.

Expanding the function we get

f(x) = 0.001(x  - 10)(x^2 - 20x - 800)

f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)

f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8

Finding the derivative

f'(x) = 0.003x^2 - 0.06x - 0.6

This is zero for maxm/minm values:

0.003x^2 - 0.06x - 0.6 = 0

x = 27.32, - 7.32.

The values of the heights corresponding to these values of x are:

0.001(27.32-10)(27.32+20)(27.32-40)

= -10.39. and

0.001(-7.32-10)(-7.32+20)(-7.32-40)

= 10.39.

So the distance between A and B =  10.39 - (-10.39)

= 20.78.

Answer:

21, 17, 13

Step-by-step explanation:

Find the mean of the 2 given values

mean = [tex]\frac{25+9}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17

Noe find the mean of 25 and 17 and 17 and 9

mean = [tex]\frac{25+17}{2}[/tex] = [tex]\frac{42}{2}[/tex] = 21 and

mean = [tex]\frac{17+9}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13

Thus the 3 means are 21, 17 and 13, that is

25, 21, 17, 13, 9

Answer:

(-2,1)

Step-by-step explanation:

The bracket is an opened interval

zero is neutral either positive or Negative

so the range of values in (-2,1) is -1,0 with corresponding values 2 each

hence, they're positive

Answer:

B -2,1

Step-by-step explanation:

Answer:

About 78.1 square centimeters

Step-by-step explanation:

First, you need to find the areas of each individual shape, and then to subtract  one from the other. The area of the circle is [tex]\pi r^2=\pi \cdot 6^2\approx 113.1[/tex]. The area of the rectangle is [tex]7\cdot 5=35[/tex]. Subtracting this from the area of the circle, you get about 78.1 centimeters. Hope this helps!

Answer:

[tex]78.09 {cm}^{2} [/tex]

Step-by-step explanation:

First find the area of the circle

[tex]\pi {r}^{2} \\ \pi \times 6 \times 6 \\ = 113.09[/tex]

Now find the area of the rectangle

[tex]b \times h \\ = 5 \times 7 \\ = 35[/tex]

Now subtract the area of the rectangle from the area of the circle.

You'll get the area of the shaded region.

[tex]113.09 - 35 \\ = 78.09 {cm}^{2} [/tex]

hope this helps

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Answer:

Volume of composite is 483  [tex]mm^3[/tex]

Step-by-step explanation:

We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):

Volume of the prism = 7 x 12 x 3 [tex]mm^3[/tex]  = 252 [tex]mm^3[/tex]

Volume of the semi-cylinder =  [tex]\frac{\pi\,\,R^2\,\,H}{2} = \frac{\pi\,\,(3.5)^2\,\,(12)}{2} =230.907 \,\,mm^3[/tex]

Therefore the sum of both volumes gives:

(252 + 230.907) [tex]mm^3[/tex] = 482.907  [tex]mm^3[/tex]

WHich can be rounded to the nearest whole number as: 483 [tex]mm^3[/tex]

Answer:

[tex]x < 2.5[/tex]

Step-by-step explanation:

[tex] - 4x + 5 > - 5 \\ - 4x > - 5 - 5 \\ - 4x > - 10 \\ \frac{ - 4x}{ - 4} > \frac{ - 10}{ - 4} \\ x < \frac{5}{2} \\ x < 2.5[/tex]

hope this helps

brainliest appreciated

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Answer:

I think it is 9.00113750385

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

The area of a cylinder is V = πr² * h, where V is the volume, r is the radius of the base and h is the height. We want to solve for r. We know the value of V and h, so let's plug those in. We get 3818 = πr² * 15, and when we divide by 15, we get 254.53 = πr². We can approximate 3.14 for π, and when we do so, we get 254.53 = 3.14r². Dividing by 3.14 gets us 81.02 = r², and when we take the square root of the equation, we get r≈9 cm. Hope this helps!

Answer: 100.53

Step-by-step explanation:

Circumference = 2 x pi x r

= 2 x 22/7 x 16

A. is correct! Good job!

The correct answer is D.  I found the equation,  y = 6x + 1 and solved each one till it fit.  y + 5 = 6(x + 1)

                      y + 5 = 6x + 6

                          -5            -5

                      y = 6x + 1

Answer:

42°

Step-by-step explanation:

We can see that in one leg of the right triangle we already have a 132 degree obtuse angle given. And since a line is 180 degrees, we can see that the inner acute angle of the right triangle is 180 - 132 = 48 degrees.

And since 3 angles of a triangle adds up to become 180, we can use standard algebra to find: 180 - 90 - 48 = 42 degrees.

Answer:

+1/3

....................

Answer:

Step-by-step explanation:

Yes, the two angles are congruent.  There are two triangles here, and these triangles are congruent as well.

Answer:

1200 cm²

Step-by-step explanation:

[tex]A=pq/2[/tex]

p and q are the diagonals.

[tex]A=(40)(60)/2[/tex]

[tex]A=1200[/tex]

Answer:

Step-by-step explanation:

(2/3) - (5/6) = (-1/6)

(-1/6)/(3/4) = -2/9

The value of the expression is -4/18

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, the expression as (2/3-5/6) / 3/4 = 4-5 /6 × 4/3

                                                                          = -4/18

Hence, the value of the expression is  -4/18

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Answer:

A

Step-by-step explanation:

A number divisible by 9 is also divisible by 3. This is because nine is basically just 3+3+3.

Answer:

the last one

Step-by-step explanation:

i nine is divisible by three and 3 is a factor of 9 the other one is just false

for you to understand- 9

                                  3         3

For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Answer:

y - y1 = m (x - x1)

y - 1 = 5 ( x - (-2))

y - 1 = 5(x+ 2)

y - 1 = 5x +10

Step-by-step explanation: