MATHEMATICS COLLEGE

Which expression best represents the cube

Answers

Answer 1
Answer:

Step-by-step explanation:

The following is a list of perfect Cubes

13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

63 = 216

73 = 343

83 = 512

93 = 729

103 = 1000

If a variable with an exponent has an exponent which is divisible by 3 then it is a perfect cube. To get the cube root, we simply divide the exponent by 3. For example x9 is a perfect cube, its cube root is x3 . x11 is not a perfect cube.

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You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two events occur together: E1, in which the card drawn is a black card, and E2, in which the card drawn is a numbered card, 2 through 10.What is the probability of getting a black card and a numbered card? Calculate the probabilities P(E1) and P(E2) as fractions.

Answers

n (S) = 5\n n (E_1) = 2 x 13 = 26\nP (E_1) (n (E_1))/(n (S)) = \frac {26}{52} = (1)/(2) \n\n n (E_2) 4 x 9 = 36\nP (E_2)(n (E_2))/(n (S))=(36)/(52)= (9)/(13)

EDMENTUM / PLATO ANSWER!!!!!!!!

CAN JUST WRITE:

P (E_1) (n (E_1))/(n (S)) = \frac {26}{52} = (1)/(2) =  (50%)

P (E_2)(n (E_2))/(n (S))=(36)/(52)= (9)/(13) =  (69.2%) :)))))

First, let's count:

there are 26 possible outcomes for E1 (black card)

there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)

there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)

the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):

P(E1 and E2) = 18/52 (34.6%)

And as asked:

P(E1) = 26/52 = 1/2 (50%)

P(E2) = 36/52 = 9/13 (69.2%)

What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet. 35.8 feet squared 45.5 feet squared 46.8 feet squared 55.3 feet squared

Answers

Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

What is the area of a trapezoid?

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

\mathbf{Area \ of\ a \ trapezoid = (1)/(2)(a+b)* h}

where:

  • a and b =the two parallel sides of the trapezoid
  • h = height

\mathbf{Area \ of\ a \ trapezoid = (1)/(2)(8.5+5.5)* 6.5}

\mathbf{Area \ of\ a \ trapezoid = (1)/(2)(14)* 6.5}

\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}

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What is the lowest common multiple of 20 and 60

Answers

Answer:

60

Step-by-step explanation:

The graphs of each group of equations have at least one characteristic in common. Name the characteristics and then graph each group of equations on the same axes to verify your answer.

Answers

a.

Common characteristics, all the equations pass through the origin.

b.

Common characteristics, all equations are parallel lines and are increasing function

c.

Common characteristics, all the equations pass through the origin.

d.

Common characteristics, all the equations pass through the origin and lie on the same points. The three equations are the same.

e.

The three equations intersect at (2,-2).

Swer each part. If necessary, round your answers to the nearest hundredth.(a) Ivan bought 24 pounds of rice for $10.
How many dollars did he pay per pound of rice?
dollars per pound
(b) A color printer prints 18 pages in 8 minutes.
How many pages does it print per minute?
pages per minute

Answers

Final answer:

Ivan paid $0.42 per pound of rice and the color printer prints 2.25 pages per minute.


Explanation:

(a) To find the dollars per pound, we divide the total cost by the total weight.

Dollars per pound = Total cost / Total weight

Given that Ivan bought 24 pounds of rice for $10, we can calculate: Dollars per pound = $10 / 24 pounds = $0.42 per pound (rounded to the nearest hundredth).

(b) To find the pages per minute, we divide the total number of pages by the total number of minutes.

Pages per minute = Total pages / Total minutes

Given that the color printer prints 18 pages in 8 minutes, we can calculate: Pages per minute = 18 pages / 8 minutes = 2.25 pages per minute (rounded to the nearest hundredth).


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Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?

Answers

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

Linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ x = (90)/(7)=$12.85

Therefore,

6x = (90(6))/(7) =(540)/(7) = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

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