Write the expression in exponential form.

Answer:

56/3 pi  cm^3

Step-by-step explanation:

1/2 volume of sphere = 1/2  4/3 pi r^3

volume of cone   1/3 pi r^2 h

r =2   h = 10  

result :  56/3 pi  cm^3

The volume of the ice cream is 58.64 cubic cm.

A three dimensional figure has three dimensions as length, breadth and height. The volume of a three dimensional figure is the amount of the substance contained by it.

Given that,

The height of cone part of the ice cream is  h = 10 cm.

The radius of the hemisphere is r = 2 cm.

As per the diagram given the radius of the hemisphere is equal to the radius of cone as 2 cm.

The volume of hemisphere is given as (2/3) × πr³.

And, the volume of cone is given as (1/3) × πr²h.

Now, the volume of the ice cream treat is equal to the sum of the volume of cone and hemisphere as,

V = (1/3) × π × r²h +  (2/3) × π × r³

Substitute the values to get,

V = (1/3) × π × 2² × 10 + (2/3) × π × 2³

  = (56/3) × π

  = 58.64

Hence, the volume of the ice cream treat is 58.64 cubic cm.

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Answer:

the answer is 11

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction

This is just the order you do the operations.

First, Parentheses.

Second, Exponents,

Third, Multiplication or Division

Last, Addition or Subtraction

So we have,

[6(20) + 3(15)] ÷ 5

We first look at Parentheses.

The first case is 6(20)

6(20) = 120

We have [120 + 3(15)]÷ 5

We solve 3(15) as its the next parentheses

3(15) = 45

We have [120 + 45] ÷ 5

Then we solve for [120 + 45] as it's in brackets.

[165] ÷ 5 = 31

The answer is 31.

Answer:

[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]

[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]

Step-by-step explanation:

Let the series be: 4, 7, 10, 13,.....

Given,

We know that,

[tex]\bf\:a_{n} = a + (n - 1)d[/tex]

Equation for the [tex]72^{nd}[/tex] term of the series,

[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]

By using this formula & substituting the values,

[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]

•°• The [tex]72^{nd}[/tex] term of the series is 217.

[tex]\rule{150pt}{2pt}[/tex]

Step-by-step explanation:

1,2,4,8,16,32,64,128

Multiplying by 2

1,3,5,7,9,11

Adding 2

30, 25, 20, 15, 10, 5

Subtracting 5

Answer:

1,2,3"8"16,32"64"128

1"3"5,7"9"11

30"25""20"15,10,5

Step-by-step explanation:

by x2

Answer:

red apples

Step-by-step explanation:

1 lb of green apples is 1.5

1 lb of red apples is 2

Answer:

[B]

Step-by-step explanation:

Given:

People leaving the library were asked how many books they checked out that day The result are: 1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

To Find:

Which histogram correctly shows the data set?

Solution:
Since it given from the histogram:

0-5, 6-11, 12 - 17,18-23

From the result :

1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

Thus,

1,2,3,5 = 0-5

8,9,10,11 = 6-11

12,13,14,15,16 = 12-17

18,20 = 18-23

From this we can see that:

for

0 - 5 = 4

6 - 11 = 4

12 - 17 = 5

18 - 23 = 2

Hence, the answer is [B]

Kavinsky

Answer:

-2x+4>18.

Step-by-step explanation:

Solve and graph a one variable inequality. Solve the inequality and graph the solution on a number line.

Answer:

∠ BED = 57°

Step-by-step explanation:

angles on the circumference subtended by the same arc are congruent,

∠ BCD and ∠ BED are both subtended by arc BD , then

∠ BED = ∠ BCD = 57°

Answer:

p = -3

q = -10

Step-by-step explanation:

[tex]x^{2}+6x+19=x^{2}+6x+9+10[/tex]

[tex]\text{we know that} \ x^{2}+6x+9=\left (x+3)^2\right\ \text{ because it is a special product}[/tex]

[tex]\text therefore \ ,\ x^{2}+6x+19=(x + 3)^2+10[/tex]

[tex]\text therefore \ ,\ x^{2}+6x+19=0 \ means\ (x + 3)^2= -10\ means\ (x -\ - 3)^2= -10[/tex]

Answer:

4/10 = 2/5 = 40%

Step-by-step explanation:

Q,R,S,T = 4

Q R S T U V W X Y Z =10

Answer:

(4,-1) is a solution

Step-by-step explanation:

x + 2y = 2

x - 2y = 6

We want to see if (4,-1) is a solution to the system.

To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution

x + 2y = 2

==> plug in x = 4 and y = -1

4 + 2(-1) = 2

==> multiply 2 and -1

4 - 2 = 2

==> subtract 2 from 4

2 = 2

x - 2y = 6

==> plug in x = 4 and y = -1

4 - 2(-1) = 6  

==> multiply -2 and -1

4 + 2 = 6

==> add 4 and 2

6 = 6

Both equations are true therefore (4,-1) is indeed a solution to the system

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.

Kim caught a fish of length = 9/10 m

Doug caught a fish of length = 2/3 as long as Kim's fish.

                                                 = 2/3 x 9/10

                                                 = 18 / 30

                                                 = 3/5

Thus, Doug caught a fish that was 3/5 meters long.

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Answer:

is the set of infinitely many primitives that a function can have. It is represented by ∫ f(x) dx. It reads: integral of x differential of x. ∫ is the integration sign.

Answer:

It's {2} since it's the common between A and B

An estimate of the number of visitors that vist the museum during a month given the average number of visitors per day is 15,128.

Multiplication is an arthmetic operation that can be used to determine the product of a number. The sign used to denote multiplication is x.

In order to determine this value, multiply the average daily visitors by the number of days in a month

488 x 30 = 15,128

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Answer:

B

Step-by-step explanation:

2q+437= 931

subtract 437

2q= 494

divide by 2

q= 247

Answer:

[tex]f(5)=1249[/tex]

Step-by-step explanation:

Given:

[tex]\implies f(2) = 5f(1)+4=5(1)+4=9[/tex]

[tex]\implies f(3) = 5f(2)+4=5(9)+4=49[/tex]

[tex]\implies f(4) = 5f(3)+4=5(49)+4=249[/tex]

[tex]\implies f(5) = 5f(4)+4=5(249)+4=1249[/tex]

Answer:

=> -x² + 3x

Step-by-step explanation:

-x (x – 3)

=> -x² + 3x

Answer:

A

Step-by-step explanation:

divide all sides by four and you get first answer.

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Alright so:

-172 = -11x + 4

-4 - 4 (-4 on both sides)

so,

-176 = - 11x

divide by -11

so,

-11x ÷ - 11 = x

-176÷-11= 16

x=16

Answer:

27%

Step-by-step explanation:

There are 11 balls in total. If 8 are red, (11-8) are blue =3

3/11 is the fraction of blue balls. Convert to percent =27%

(1) Basket (2) Hands (3) Cart. 3 ways i can think of

Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np.

In this problem, we have that:

Thus, the expected value is given by:

E(X) = np = 100 x 0.12 = 12.

Hence, Cameron's statement is correct.

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Answer:

Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]

Step-by-step explanation:

[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]

Simplify the expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]

Transform the Expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]

Calculate

[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]

Answer:

x = 35

Step-by-step explanation:

hope this helps

Answer:  x = 35

Step-by-step explanation:

-5 = 0.1x - 8.5

Step 1: Rewrite the equation:

0.1x - 8.5 = -5

Step 2: Add 8.5 on both sides.

          0.1x = 3.5

Step 3: Divide 0.1 on both sides.

               x = 35

Answer:The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Step-by-step explanation:Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)