How would this look in standard notation??

Answer:

942m^3

Step-by-step explanation:

Given data

Radius of cone= 5m

Height= 12 m

We know that volume of a cone is given as

V= πr^2h

V= 3.14*5^2*12

V= 3.14*25*12

V= 942 m^3

Hence the volume is 942m^3

Answer:

D

Step-by-step explanation:

Answer:=

=(x^2+4x)+(7x+28)

=x(x+4)+7(x+4)

=(x+4)(x+7)

Step-by-step explanation:

Answer:

[tex](x+4) (x+7)[/tex]

Step-by-step explanation:

Factor x^2 + 11x + 28 using the AC method.

Answer:

1000

Step-by-step explanation:

1,080,000,000/1,047,000

Answer:

It's the second one

Step-by-step explanation:

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

Answer: The answer is -x^2 + 12x + 5

Answer:

vertical, 47

Step-by-step explanation:

vertical, 47

Answer:

vertical; 47

Step-by-step explanation:

Vertical angles are opposites.

Answer:

4.9

Step-by-step explanation:

use this equation : [tex]a^2 + b^2 = c^2[/tex] (your hypotenuse is always going to be c)

 [tex]7^2 - 5^2 = b^2[/tex]

 [tex]49 - 25 = b^2\\[/tex]          

         [tex]24 = b^2[/tex]

      [tex]\sqrt{24} = b[/tex]

        [tex]4.9 = b[/tex]

Answer:

1000

Step-by-step explanation:

b.) 23.4x13.9/0.18= 1000

Answer:

Step-by-step explanation:

=9.88/132 (this is in fraction form)

for calculating percentage just multiply the fraction by 100%

=9.88/132*100%

=9.88*100/132

=988/132

=7.48 %

Answer:

36 cubic inches

Step-by-step explanation:

The prism is literally just the front section twice. Find the area of the front and then add it to itself

Step-by-step explanation:

-x²-8x=15

=> -x²-8x-15= 0

<=> x2+8x+15=0

(x+5)(x+3)=0

x= -5 or x = -3

Answer:

I think the height is 22.

Answer:

x = -6

Step-by-step explanation:

1/3(x-9)=2x+7

1/3x - 3 = 2x + 7

-5/3x = 10

x = -6

Answer:

Restricted Range

Step-by-step explanation:

Required

Reason for insignificant correlation

From the question, we understand that the article discussed the full population while you restricted the correlation to only 21-year-olds age groups.

You left out other age groups included in the original dataset that was analyzed and reported by the article. The term that describes this act is restricted range, because other age groups are not represented in your analysis.

Answer:

125

Step-by-step explanation:

x = 1500 /  12

  =  125

Answer:

the surface area is 112 ft^2

Step-by-step explanation:

if you separate listen to two different rectangles you get what's a rectangle a being 3 + 10 + 3 equals 16 * 2 what gives you 32 okay and rectangle b being 3 + 2 + 3 what gives you 8 x 10 that gives you the area of 80 now you add the area both rectangles being 32 + 80 and to get a hundred and twelve feet squared

Answer:

Answer is AB=AC-BC

20-16=4

Answer:

x = 55

y = 70

Step-by-step explanation:

since it's all sides are equal its an equilateral triangle

each angle of an equilateral triangle is 60°

therefore,

y - 10 = 60 => y = 60 + 10

y = 70

x + 5 = 60 => x = 60 - 5

x = 55

Answer:

x+5=y-10

x-y = -15

y-10+X+5+X+5=180

2x+y =180

x-y+2x+y =180-15

3x.=165

x. =55

2x+y =180

y =180-(110)

y =70

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"

Step-by-step explanation:

If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.

The angles will be:

[tex]30^o[/tex]

[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])

[tex]30^o[/tex]

This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).

Answer:

B

Step-by-step explanation:

6×8 /2 = 24

24 ×12 /3 = 96 units³

Step-by-step explanation:

Area is 2D, and Volume is 3D

volume is L x W x H

area is L x W which has already been given to you so you just need to use the height given to you

38.28 x 11

Answer:

the answer is 9

Step-by-step explanation:

6/10=x/15

10x=90

x=9

Answer:

Step-by-step explanation:

Answer:

[tex]P (Yes | Nebraska) = 0.10[/tex]

Step-by-step explanation:

Given

See attachment for contingency table

Required

[tex]P (Yes | Nebraska)[/tex]

From the contingency table, we have:

[tex]P (Yes\ n\ Nebraska) = 0.044[/tex]

[tex]P (No\ n\ Nebraska) = 0.400[/tex]

The required can be represented as:

[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]

Where

[tex]P (Nebraska) = P (No\ n\ Nebraska) +P (Yes\ n\ Nebraska)[/tex]

So, we have:

[tex]P (Nebraska) = 0.400 + 0.044[/tex]

[tex]P (Nebraska) = 0.444[/tex]

So, we have:

[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]

[tex]P (Yes | Nebraska) = \frac{0.044}{0.444}[/tex]

[tex]P (Yes | Nebraska) = 0.10[/tex] --- approximated

Answer: Hi I think that I can help you with your problem!

Let  which means

Here a bar over 8 means that there the given decimal value is non terminating and there are a large numbers of 8 present after the decimal.

To solve the given non terminating decimal as fractions, we will have to eliminate the bar term from the given value.

So, we can rewrite  as:

......(1)

Now, let us multiply the above with 10.

....... (2)

Now, let us subtract (1) from (2):

So, in simplified fractions:

Step-by-step explanation:

Answer:

f(x) = (x + 4)^2*(x - 5)^3

Step-by-step explanation:

For a polynomial P(x) with zeros (or roots):

x₁, x₂, ..., xₙ

And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now, some of these roots can be repeated.

For example if x₁ = x₂

Then we say that the root x₁ has a multiplicity of two.

And we write the polynomial as:

P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)

Now, if we have a polynomial with the roots (or zeros):

Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)

Zero at 5 with a multiplicity of 3 (we have the root x = 5  3 times)

(And a leading coefficient A =  1, I assume)

This polynomial will be written as:

f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)^2*(x - 5)^3

The correct option is the third one: