The volume of a cone is 3pi x^3 cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
3x
5x
3pi x^2
9pi x^2

Answer:

The distance between midpoint of AP and QB is [tex]\frac{5a}{8}[/tex].

Step-by-step explanation:

Given that: AB = a

                  AP = 2PQ = 2QB

Thus,

PQ = QB = [tex]\frac{a}{4}[/tex]

PQ + QB = [tex]\frac{a}{4}[/tex]+ [tex]\frac{a}{4}[/tex]

              = [tex]\frac{a}{2}[/tex]

AP = [tex]\frac{1}{2}[/tex] a = [tex]\frac{a}{2}[/tex]

The distance between midpoint of AP and QB can be determined as;

[tex]\frac{AP}{2}[/tex] + PQ + [tex]\frac{QB}{2}[/tex]

= [tex]\frac{a}{4}[/tex] + [tex]\frac{a}{4}[/tex] + [tex]\frac{a}{8}[/tex]

= [tex]\frac{2a+2a+a}{8}[/tex]

 = [tex]\frac{5a}{8}[/tex]

Therefore, the distance between midpoint of AP and QB is [tex]\frac{5a}{8}[/tex].

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

True, the segments shown below could form a triangle. Option A is correct.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

According to the Triangle Inequality theorem, any two sides' total must be bigger than the third side. Verify one by one;

⇒a + b>c

⇒9 + 1 >9

⇒10>9

a + c>b

9 + 9 >1

18>1

c + b>a

9 + 1 >9

10>9

True, the segments shown below could form a triangle.

Hence, option A is correct.

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Answer: Area= square

A=5×5= 25

A=triangle 1 & 3

5×10= 50÷2= 25 25+25=50

A=triangle 2&4

10×5=50÷2=25×2=50

Area of 1-4= 25+50+50= 125

A= 125

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Answer:

(g + f)(x)

Step-by-step explanation:

the outputs of f(x) and g(x) will always have a sum of -1, which is h(x).

The expression of function H (x) is (g + f) (x).

Option 2 is true.

Here,

The function f (x) = -x - 4 and g(x) = x + 3

The value of H (x) is in the table is -1.

We have to find the expression to represents H(x).

What is Linear function?

A linear function is a simple function usually composed of constants and simple variables without exponents.

Now,

The function f (x) = -x - 4 and g(x) = x + 3

⇒( f + g ) (x) = f (x) + g(x)

                  = -x - 4 + x + 3

                  = -1

Which is same as the value of H (x) is in the table.

Hence, The expression of function H (x) is (g + f) (x).

Option 2 is true.

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Answer:

Step-by-step explanation:

the answer is c

The statement must be true about parallelogram ABCD is BE ≅ DE option (C) BE ≅ DE is correct because the diagonals of a parallelogram bisect each other.

A parallelogram is a polygon with four sides, opposite sides of the parallelogram are parallel.

The parallelogram ABCD is shown in the figure.

A parallelogram is a type of quadrilateral,

The quadrilateral can be defined as the four-sided polygon in geometry having four edges and four corners.

The parallelogram has two diagonals, AC and BD.

From the property of Parallelogram,

The diagonals of a parallelogram bisect each other.

So, AC and BD bisect each other.

AE = ECBE = CE

The correct answer is BE ≅ DE.

Thus, the statement must be true about parallelogram ABCD is BE ≅ DE option (C) BE ≅ DE is correct because the diagonals of a parallelogram bisect each other.

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Answer:

(0, 0)

Step-by-step explanation:

(4+(-4))/2= 0/2= 0

(-5+5)/2=0/2= 0

(0, 0)- mid point

Answer:

[tex](4,-5);(-4,5)[/tex]

Remember this can be interpreted as:

[tex](x_1,y_1);(x_2,y_2)[/tex]

Looking at our x values first we have:

[tex]\frac{4+(-4)}{2}=\frac{0}{2}=0[/tex]

Looking at our y values we have:

[tex]\frac{-5+5}{2}=\frac{0}{2}=0[/tex]

So our midpoint would be the point [tex](0,0)[/tex]

the answer is 11/4

The unit rate of change between variables is the quotient between the difference between y-values and the difference between x-values

The unit rate of change is y = 2.25x

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the values of x be set A = { 2 , 3 , 4 }

Let the values of y be set B = { 4 1/2 , 6 3/4 , 9 }

So , the unit rate of change can be calculated by slope and linear equation of line

So , Slope m is

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

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

m =  2.25

So , the equation will be y = mx

y = 2.25x

Therefore , the unit rate of change is y = 2.25x

Hence ,

The unit rate of change is y = 2.25x and the graph is shown below

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Answer:

there is no square root for -1

because it is there only for natural numbers

not sure because i just learned but ik that there isn't any square root for -1

Answer: -8

Explanation: -5-3=-8

Answer:

a. $ 2,431.01 = 4 years

b. $ 4,584.04  = 17 years

c. 4.57 years = $ 2,499.57

d. 8.3 year = $ 2,998.48

e.  $ 2,431.01 = 4 years

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

0.67 gallon of water

Answer:

A.400

Step-by-step explanation:

Well perimeter for a rectangle is l+l+w+w

100+100+l+l=600

200+2l=600

Subtract 200 from both sides

2l=400

Divide both sides by 2

l = 400 feet

The length of the rectangle is 400 feet long.

Answer:

-10b+150

Step-by-step explanation:

Answer:

-(s-150)/10

Step-by-step explanation:

Answer:

A,D,BC

Step-by-step explanation:

Answer:

1.548 gallons

Step-by-step explanation:

Length of the rectangular wall = 25.1 ft.

Width of the rectangular wall = 18.5 ft.

Area of the rectangular wall = length * width = 25.1 * 18.5

= 464.35 square feet

300 square feet wall can be painted using 1 gallon of paint.

=> 1 square feet wall can be painted using  gallon of paint.

=> 464.35 square feet wall can be painted using  gallon of paint.

= 1.548 gallons of paint

Answer:

4 gallons

Step-by-step explanation:

The first thing you want to do is times 22.8 * 17.3 = 394.44. Then what you want to do is see how much 100 square gallons can cover the area : 4. If we make it 3 it is going under if it is 4 it can cover the whole thing, and if we make it 5 we have a little much.

Answer:

Step-by-step explanation:

2 numbers  : 10 and -10

Answer:

The answer is D

Step-by-step explanation:

The solution would be like this for this specific problem:

Cost of the computer:

i = 0.117 / 12 

i = 0.00975 

= monthly payment 

= (i * P * (1 + i)^n) / ((1 + i)^n - 1) 

= (0.00975 * $1433 * (1 + 0.00975)^30) / ((1 + 0.00975)^30 - 1) 

= $55.32 

Electricity cost:

= $0.79 * 365.25 * 7 

= $2019.83 

Electricity Percentage: 

= $2019.83 / ($2019.83 + $1659.60) 

= 54.89% 

Electricity: 

= ($0.79 * 365 * 5) + ($0.79 * 366 * 2) 

= $2020.03 

Electricity Percentage: 

= $2020.03 / ($2020.03 + $1659.60) 

= 54.898%

In total, the electricity made up 54.898% of the lifetime cost of the computer.

Mean is the average. Add the minutes together and divide by 10.

86 /10 = 8.6

The answer is c

Answer:

D. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Use [tex]m = \frac{y2-y1}{x2-x1}[/tex] to find slope. The m in y = mx + b is always your slope.

Answer:

for x=i

Step-by-step explanation:

For

1+x²=0 => x²= -1 => x=√-1 => x= i

the given equation is not true

Answer:

4, 12, 16 (respectively)

Step-by-step explanation:

if you need one just comment and ill add one

[tex]answer = \\ red = 4 \\ blue = 12 \\ green = 16 \\ solution \: \\ let \: the \: ratios \: be \: x \: 3x \: 4x \\ x \ + 3x + 4x = 32 \\ or \: 8x = 32 \\ or \: x = \frac{32}{8} \\ x = 4 \\ replacing \: value \\ 3x \\ = 3 \times 4 \\ = 12 \\ 4x \\ = 4 \times \: 4 \\ = 16 \\ hope \: it \: helps...[/tex]

Answer:

f(n) = f(n - 1) + 6

Step-by-step explanation:

Answer:

Cube

Step-by-step explanation:

The front elevation, side elevation and plan of a cube are all square

Answer:

The name of the solid is cube.

Step-by-step explanation:

What is cube?

A cube is a three-dimensional solid figure, having 6 square faces. It is a geometrical shape with 6 equal faces, 8 vertices, and 12 equal edges.

What is elevation?

The view from the top is called the plan. The view from the front and sides are called the elevations (front elevation and side elevation).

The front elevation, side elevation and plan of a solid are all same shows a cube.

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Answer:

-1/6

Step-by-step explanation:

First find the slope of the line through the points

m = (y2-y1)/(x2-x1)

    = (-4-8)/(1-3)

     = -12/-2

      =6

Now we need to find the slope of the line that is perpendicular

Perpendicular lines multiply to -1

6 * mp = -1

mp = -1/6

Answer:

1.0138

Step-by-step explanation:

This conversion of 146 square inches to square feet has been calculated by multiplying 146 square inches by 0.0069 and the result is 1.0138 square feet.

Answer:

x≤-3      2 ≤x<7  

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3  X =2  X=7

We need to check the values when

x≤3  -3 ≤ x≤2           2 ≤x<7   x>7  

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) =   negative

-3 ≤x≤2    

(positive)(negative) / (negative) = positive  this range does not work

      2 ≤x<7  

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

Answer:

The second option is the correct answer.

Thank you.

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can u maybe write the full question?

Answer:

12 liter in 4 days

Step-by-step explanation:

twice as many days, twice as many liters

Answer:

6 days

Step-by-step explanation:

"another 12 liters" => 12liters + 6 liters = 18 liters

6 liters - 2days

18 liters - x

6x = 18 * 2

x = 6 days

0.89 expressed as a common fraction would be:

It cannot be reduced further.

Answer:

[tex] \frac{89}{100} [/tex]

Step-by-step explanation:

[tex]0.890[/tex]

This number has 3 decimal places

so,

[tex] \frac{890}{1000} [/tex]

Reduce it.

[tex] \frac{89}{100} [/tex]

Can't be reduce further

Answer:

60

Step-by-step explanation: