A cylinder has a height of 5 centimeters and a radius of 2.3 centimeters. What is the volume of this cylinder?

A 3.32 cm3

16.62 cm

С

83.10 cm3

o o

D

180.64 cm

Answer:

-8

Step-by-step explanation:

2x/8 + 5 = 3

x/4 = -2

x = -8

Answer:

no solution

Step-by-step explanation:

4x + 20 - 5 = 4x + 1

= 20 - 5 = 1 (The 4x cancels each other out)

= 15 ≠ 1

15 is not equal to 1, so the linear equation has no solution

Answer:

3+11+ 14

24x11=264

264sec=4.4 minutes

youll be late by 1min 40 sec

Given that it takes 12 seconds to reach each floor, you will reach the 14th floor in 156 seconds. Compared to the total time available (180 seconds), you will be 24 seconds (or 0.4 minutes) early to your meeting.

To solve this problem, we need to determine how long it takes for you to reach each floor. If it takes you 24 seconds to reach the 3rd floor from the 1st floor, we can infer that it takes you 12 seconds to reach each floor (24 seconds/2 floors). Therefore, to reach the 14th floor from the first, it would take 12 seconds times 13 floors which equals 156 seconds.

Then, we need to convert the time given to get to the meeting, which is 3 minutes, into seconds (3 minutes * 60 seconds/minute = 180 seconds).

Subtract the required time to reach the 14th floor (156 seconds) from the total time available (180 seconds), and you will be 24 seconds early for your meeting (or 0.4 minutes, rounding to the nearest hundredth, if the time is converted back into minutes).

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Answer:

72

Step-by-step explanation:

Answer:

4183y

Step-by-step explanation:

Multiply 73 and 61

73 × 61y = 4453

4453 - (45 × 6y)

Then multiply 45 by 6

45 × 6 = 270

4453y - 270y

Subtract

4453y - 270y = 4183y

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = [tex]21m^3[/tex]

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

[tex]V = \pi r^2h[/tex]

Substitute 21 for V; this gives

[tex]21 = \pi r^2h[/tex]

Divide both sides by h

[tex]\frac{21}{h} = \frac{\pi r^2h}{h}[/tex]

[tex]\frac{21}{h} = \pi r^2[/tex]

The next step is to solve for the volume of the sphere using the following formula;

[tex]V = \frac{4}{3}\pi r^3[/tex]

Divide both sides by r

[tex]\frac{V}{r} = \frac{4}{3r}\pi r^3[/tex]

Expand Expression

[tex]\frac{V}{r} = \frac{4}{3}\pi r^2[/tex]

Substitute [tex]\frac{21}{h} = \pi r^2[/tex]

[tex]\frac{V}{r} = \frac{4}{3} * \frac{21}{h}[/tex]

[tex]\frac{V}{r} = \frac{84}{3h}[/tex]

[tex]\frac{V}{r} = \frac{28}{h}[/tex]

Multiply both sided by r

[tex]r * \frac{V}{r} = \frac{28}{h} * r[/tex]

[tex]V = \frac{28r}{h}[/tex] ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

[tex]h = D[/tex] , where D represents diameter of the sphere

Recall that [tex]D = 2r[/tex]

So, [tex]h = D = 2r[/tex]

[tex]h = 2r[/tex]

Substitute 2r for h in equation 1

[tex]V = \frac{28r}{2r}[/tex]

[tex]V = \frac{28}{2}[/tex]

[tex]V = 14[/tex]

Hence, the volume of the sphere is 14m³

Answer:

Step-by-step explanation:

We have:

[tex]Cylinder:\\\R-\text{radius}\\H=2R-\text{height}\\V_C-\text{volume};\ V_C=21m^3\\\\\text{the formula of a volume of a cylinder:}\ V=\pi R^2H\\\\V_C=\pi R^2(2R)=2\pi R^3[/tex]

[tex]Sphere:\\\R-\text{radius}\\V_S-\text{volume}\\\\\text{the formula of a volume of a sphere:}\ V=\dfrac{4}{3}\pi R^3[/tex]

[tex]Let's\ transform\ V_C:\\\\2\pi R^3=21\qquad\text{divide both sides by 2}\\\\\pi R^3=\dfrac{21}{2}\qquad\text{multiply both sides by}\ \dfrac{4}{3}\\\\\dfrac{4}{3}\pi R^3=\dfrac{21}{2}\cdot\dfrac{4}{3}\to V_S=\dfrac{(21:3)\cdot(4:2)}{(2:2)\cdot(3:3)}=\dfrac{7\cdot2}{1\cdot1}=\dfrac{14}{1}=14\ (m^3)[/tex]

Answer:

-2(3x+2)(x-5)

Step-by-step explanation:

Answer:

9, 40, 41.

Step-by-step explanation:

We can derive this by simply analyzing all of the answer choices and eliminating those that do not work using the Pythagorean formula: a²+b²=c²

1²+3²≠10²

4²+5²≠9²

9²+40²= 41²

16²+30²≠44²

When these are plugged into the calculator, we can see that only answer 3 satisfies the formula, making it a Pythagorean triple.

Answer:

9,40,41 is a Pythagorean triple

Step-by-step explanation:

Pythagorean triples are integers that're all positive and they don't have a common divisor larger than 1

Answer:

D

Step-by-step explanation:

According to the assignments she didnt make no mistake every thing is correct! :))

Answer: it's option b.

Step-by-step explanation:

[tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex] is the expression using rational exponents with a common denominator of  [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]

A number system is defined as a system of writing to express numbers.

The given expression is [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]

The square root is nothing but power of 1/2

So we can write these as

[tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]

[tex]x^{\frac{1}{6} } y^{3}^{\frac{1}{4} }[/tex]

As we need to write the exponents as common denominator.

[tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex]

Hence, [tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex] is the expression using rational exponents with a common denominator of  [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]

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Answer:

((X*10)+Y)-1

Step-by-step explanation:

Answer:

unlikely,likely,and certain

Step-by-step explanation:

The probability of an event can only be between 0 and 1 and can also be written as a percentage. The probability of event A is often written as P ( A ) P(A) P(A)P, left parenthesis, A, right parenthesis.Probability. Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .Examples of Probability. ... Probability can be expressed in a variety of ways including a mathematically formal way such as using percentages. It can also be expressed using vocabulary such as "unlikely," "likely," "certain," or "possible." Explore several probability examples.And an event is one or more outcomes of an experiment. Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B.

Hope that was helpful.Thank you!!!

X+23=2X+4

X-2X=4-23

-x=-19

X=19

You didn’t not show what is the relation between the expressions so I assumed it’s equall

Answer:

Amount of cake mix baking pan can hold is 99 ounces

Step-by-step explanation:

Here we have the size of the baking pan is given by the following relation

Volume of baking pan = Length × Width × Height

Volume of baking pan = 12 in. × 6 in. × 2.5 in. = 180 in.³

Mass of 1 cubic inch of cake mix = 0.55 ounces, therefore, the mass of cake mix that the 180 in.³ baking pan can hold is found as follows;

Amount of cake mix baking pan can hold = Volume of baking pan × Mass per cubic inch of cake mix

Amount of cake mix baking pan can hold = 180 in.³ × 0.55 ounce/in.³ = 99 ounces.

Answer: lump sum investment

Step-by-step explanation:

Answer:

It is lump-sum payments.

Step-by-step explanation:

What is lump-sum payment?

A lump-sum payment is an amount paid all at once, as opposed to an amount that is divvied up and paid in installments.

What is investment?

Investment is the dedication of an asset to attain an increase in value over a period of time.

An investment in which all of the money to bee invested is deposited at one time is called lump-sum payment.

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Answer:

36

Step-by-step explanation:

Answer:

36 I did the math

Step-by-step explanation:

EZ

Answer:

30 min

Step-by-step explanation:

Answer:

3x^3 + 12x

Step-by-step explanation:

Use the distributive property and multiply 3x across all the terms inside the parentheses, and you'll end up with 3x^3 + 12x.

Hope this helps!

Answer:

672 miles

Step-by-step explanation:

576/12= 48

every hour he drove 48 miles

48 x 14 = 672 miles

Answer:

9.5 months

Step-by-step explanation:

We would be using the expression

y = abⁿ

Where

a = starting number = 8 rabbits

b = rate of change = the number of rabbits doubles = 2

n = number of time intervals that has passed = unknown = number of months

y = rabbit population = 5800

y = abⁿ

5800 = 8 × 2ⁿ

Divide both sides by 8

5800 ÷ 8 = 2ⁿ

725 = 2ⁿ

n = 9.5 months.

Therefore, the number of months in which the rabbit population would reach 5,800 is 9.5 months

Answer:

1) [tex]x = 30\,in[/tex], 2) [tex]x = 75\,mi[/tex], 3) [tex]x = 31\,mi[/tex]

Step-by-step explanation:

The actual distances are computed below:

1) The actual distance is:

[tex]x = \frac{3\,in}{1\,in}\times 10\,mi[/tex]

[tex]x = 30\,in[/tex]

2) The actual distance is:

[tex]x = \frac{7.5\,in}{1\,in}\times 10\,mi[/tex]

[tex]x = 75\,mi[/tex]

3) The actual distance is:

[tex]x = \frac{3.1\,in}{1\,in}\times 10\,mi[/tex]

[tex]x = 31\,mi[/tex]

To find the actual distance, multiply the map distance by the scale factor. The scale factor is the ratio of the actual distance to the map distance.

To find the actual distance using the given map scale, you need to multiply the map distance by the scale factor. The scale factor is the ratio of the actual distance to the map distance. In this case, the scale factor is 10 miles per inch.

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Answer:

60

Step-by-step explanation:

Of means multiply and is means equals

Let n be the unknown number

135% * n = 81

Change to decimal form

1.35 n = 81

Divide each side by 1.35

1.35n/1.35 = 81/1.35

n =60

Answer:

3 different committees

Step-by-step explanation:

after 3 committees are formed there will be one extra boy however without any more girls another committee cannot be formed.hope this helps!!!

Number of committees of 3 boys and 4 girls formed from the group of 10 boys and 12 girls  = 59400

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

Number of combinations of taking x items out of total n items

ⁿCₓ = n!/x!(n-x)!

Given,

Number of girls in group = 12

Number of boys in group = 10

Selecting 3 boys from the group

= ¹⁰C₃

= ¹⁰C₃

= 10!/3!(10 - 3)!

= 10!/3!×7!

= (10 × 9 × 8 × 7!)/(3 × 2 × 1 × 7!)

= 10 × 3 × 4

= 120

Selecting 4 girls from group

= ¹²C₄

=  12!/4!(12 - 4)!

=  12!/4!×8!

= (12 × 11 × 10 × 9 × 8!)/(4 × 3 × 2 × 1 × 8!)

= 3 × 11 × 5 × 3

= 495

Total number of committees of 3 boys and 4 girls formed from the group

= ¹⁰C₃ × ¹²C₄

= 120 × 495

= 59400

Hence, 59400 different committees can be formed from the group.

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Answer:

Find the 73rd term of the arithmetic sequence -28, -41, -54, ...... -964

Step-by-step explanation:

U73 = -28 + (73 - 1)-13

U73 = -28 - 949 + 13

U73 = -964

The 73rd term of the arithmetic sequence -28, -41, -54, ... is -964, calculated using the formula of an arithmetic sequence.

The 73rd term of the arithmetic sequence -28, -41, -54, ... can be found by using the formula of arithmetic sequence which is a + (n - 1) * d, where 'a' is the first term of the sequence, 'd' is the common difference, and 'n' is the term number. Here, 'a' is -28 and 'd', the difference between the terms, is -13 because -41 - (-28) = -13.

So, plugging in these values to the formula: a + (n - 1) * d = -28 + (73 - 1) * -13 = -28 - 936 = -964. Therefore, the 73rd term of the sequence is -964.

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5. yes

6. yes

7. no

8. no

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Answer: He now has eight-fourths of the apples left.

Step-by-step explanation: If Sebastian has three whole apples and now decides to cut each apple into fourths, that is four parts, then the total number of fourths he has left can be derived as follows;

1 apple = 4 parts

3 apples = 3 x (4 parts)

3 apples = 12 parts

If Sebastian gives away four of the apples, we can now express this as;

Remainder = 12 parts - 4 parts

Remainder = 8 parts

What Sebastian had was fourths and no longer whole apples, hence from our calculation, Sebastian has eight-fourths (8 quarters, or 8 fourths) left as a fraction of his apples.

Final answer:

Sebastian cuts 3 apples into fourths, giving him 12 pieces. He gives away 4 pieces, leaving him with 8 fourths of an apple. The number of fourths left expressed as a fraction is 8/4.

Explanation:

Sebastian starts with 3 whole apples and cuts each into fourths, resulting in 3 x 4 = 12 pieces. After giving away 4 fourths of the apples, we subtract 4 from the original 12 pieces to answer the question: Which is the number of fourths Sebastian has left as a fraction?

To find out how many fourths are left, we compute 12 - 4 = 8 fourths. This can be simplified to the fraction 8/4, which equals 2 whole apples. However, since the question asks for the answer in the form of a fraction representing the fourths, we should write our final answer as 8/4.

If we were to simplify the fraction to show the number of whole apples instead of fourths, we would say that Sebastian has 2 whole apples left.