Which prism has the greatest volume?

Which Prism Has The Greatest Volume?

Answers

Answer 1

Answer:

Volume of the prism formula:

V = lwh

Volume of the given prisms:

V₁ = 5*6*4 = 120V₂ = 2*3*10 = 60V₃ = 2*8*8 = 128V₄ = 8*3*6 = 144

The last Prism has the greatest volume

Answer 2

#1

V=4(5)(6)=120

#2

V=2(3)(10)=60

#3

V=2(8)²=128

#4

V=8(3)(6)=144

Option D


Related Questions

Find the equation of the line

Answers

Answer:

y = 10x +

the picture is cut short so I can't help with the next box.

Y = 10x +

Explanation: because I know

Suppose you want to save $5000 to put towards remodeling your house in 18 months. You found a bank whose interest rate for savings accounts is 4.5% compounded monthly, but you are unsure of how much to invest to have $5000 saved in 18 months.

Using the compound interest formula, how much should you invest in order to have $5000 saved in 18 months?

Answers

The required money to be invested in order to save $5000 is $4677.26.

What is compound interest?

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The principal for each interval is the sum of interest And the principal for the previous interval.

Suppose the amount to be invested be P.

The rate of interest for monthly compounding is given as 4.5/12 = 0.375%.

Time is given as 18 months.

This implies number of time period is 18.

Plug n = 18, r = 0.375% and A = 5000 in A = P(1 + r/100)ⁿ as,

⇒ 5000 = P(1 + 0.375/100)¹⁸

⇒ P = 4677.26

Hence, the amount of money that should be invested is obtained as $4677.26.

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Edward works at a grocery store. He kept track of the number of coupons redeemed by the last 20 shoppers. The center of the dot plot was 1. No one redeemed 4 coupons. Most people did not redeem any coupons. Which dot plot displays this information correctly?

Answers

Therefore , the solution to the given problem of scatter plot comes out to be the data correctly represented as 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot

Why a scatter plot is used ?

Several dots are arranged along a vertical and horizontal axis to form a scatter plot. Because they can demonstrate the strength of the relationship, if any, between the two observed quantities or occurrences, scatter plots are crucial in statistics (called variables).

Here,

Given :  the number of coupons redeemed by the last 20 shoppers

and

center dot plot is 1

thus,

No one redeemed  each 4 coupons

So, In order to find the which plot displays data correctly

We get,

0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot

which represents the data correctly

Therefore , the solution to the given problem of scatter plot comes out to be the data correctly represented as 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot

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Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?

Answers

Answer:

Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.

Step-by-step explanation:

En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:

[tex]288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3[/tex]

Entonces, los familia de divisores de 288 es el siguiente conjunto:

[tex]D_{288} = \{2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 \}[/tex]

Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.

What equation represents a linier function that is proportional

Answers

Answer:

d

Step-by-step explanation:

The first five terms of a sequence are shown. 4, 12, 36, 108, 324, ... What would be the 8th term in the sequence?

Answers

Answer:8748

Step-by-step explanation:

The pattern is multiplying the number by 3, 3x12=36. 36x3=108.

4, 12, 36, 108, 324, 972, 2916, 8748

jess has $22 and saves $5 each week rosie has $10 and saves $8 each week how many weeks till they have the same amount of money

Answers

Answer: 5 weeks

Explanation:
Jess starts with $22 and saves $5 per week, Rosie has $10 and saves $8 per week.

In order to find an equal amount of money between the two girls is by finding a common denominator.

Jess- 22, 27, 32, 37, 42
Rosie- 10, 18, 26, 34, 42

Since we found that they can both end up with $42, after a certain amount of weeks have passed, now you’ll want to count how many numbers are in each row to find the amount of weeks it took to get to an equal amount

A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. a. What is the probability that all three marbles are red when you replace each marble before selecting the next marble? Round your answer to the nearest tenth. about % b. What is the probability that all three marbles are red when you do not replace each marble before selecting the next marble? Round your answer to the nearest tenth. about %

Answers

Answer:

A) 9.1%

B) 7.4%

Step-by-step explanation:

Part A

Because you are replacing each marble before selecting the next, the probability of choosing one red marble remains the same, so choosing 3 red marbles with replacement would mean the probability gets multiplied by itself 3 times:

[tex]\displaystyle P(\text{Red+Replace})=\biggr(\frac{9}{20}\biggr)^3=\frac{9}{20}*\frac{9}{20}*\frac{9}{20}=\frac{729}{8000}\approx9.1\%[/tex]

Part B

[tex]\displaystyle P(\text{Red+No Replace})=\frac{C(9,3)C(4,0)C(7,0)}{C(20,3)}=\frac{\frac{9!}{3!(9-3)!}}{\frac{20!}{3!(20-3)!}}=\frac{\frac{9*8*7}{3*2*1}}{\frac{20*19*18}{3*2*1}}=\frac{9*8*7}{20*19*18}=\frac{7}{95}\approx7.4\%[/tex]This can also be calculated with [tex]\frac{P(9,3)}{P(20,3)}[/tex] because the order does matter in which you pick the 3 red marbles with no replacement.

Answer:

9.1%

7.4%

Step-by-step explanation:

The prime factorization of a number is 2³× 5² . What is the number?
A. 1,196
B. 60
C. 35
D.200

Answers

Answer: 200


Explanation: simplify.

Answer:

D.

Step-by-step explanation:

Hello can someone please help me with this please What is the best possible geometric model for a set of rail tracks?

Ray ----Point ---- Line --- Plane

Fine the measure of an angle that is supplement to ABC if m < ABC is 82?

100 ---- 8---------278------

Fine the measure of an angle that is complementary to ABC is 32?

328------148------58------32

The intersection of two lines is a ?
Quadrilateral--------Point--------Line--------Plane

Answers

The best possible geometric model for a set of rail tracks is given as follows: Plane.The measure of the angle that is the supplement to ABC = 82º is given as follows: 98º.The measure of the angle that is the complementary to ABC is given as follows: 32º.The intersection of two lines is a point.

How to model the rail tracks?

A rail track is composed by multiple lines, however all the lines are in the same plane, hence a plane is the best geometric model for the rail track.

How to obtain the supplement of an angle?

Two angles are supplementary if the sum of their measures is of 180º, hence the supplement of an angle is obtained subtracting 180º by the angle measure.

This means that the supplement of ABC = 82º is given as follows:

180º - 82º = 98º.

How to obtain the complement of an angle?

Two angles are complementary if the sum of their measures is of 90º, hence the complement of an angle is obtained subtracting 90º by the angle measure.

This means that the supplement of ABC = 90º is given as follows:

90º - 32º = 58º.

Where do two lines intersect?

Two lines intersect at a single point, which is the solution to the system of equations involving the two lines.

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Marco ran 7 miles in 50.4 minutes. If he ran at the same pace the whole time, how long did it take him to run 1 mile?

Answers

Answer:

7.2 min

Step-by-step explanation:

50.4 / 7 = 7.2 min

It took him 7.2 minutes to run one mile because 50.4 minutes divided by 7 miles is 7.2 minutes

Multiply.
(3x + 2)(x - 7)

Answers

the answer i got was 3x^2+19x-14

Answer:

3x^2 - 19x - 14

Step-by-step explanation:

PLEASE HELP ASAP!! find the zeros of the function, will mark!

Answers

Answer:

The zeros are (0,0) and (4,0)

Step-by-step explanation:

Those are the 2 points of the parabola that are on the "x" axis

(Hope this helped! Please ask and questions about this in the comments) :D

In the figure, what is the value of a?
a
35
48
21

Answers

I think it is 48 I believe

What is the perimeter of a regular pentagon inscribed in a circle with radius 1 meter

Answers

Answer:

Step-by-step explanation:

The perimeter of a regular pentagon is equal to the sum of the lengths of its sides. The length of each side of a regular pentagon inscribed in a circle with radius 1 meter can be found using the formula: side length = 2 * radius * sin(180/number of sides).

For a regular pentagon, the number of sides is 5. Plugging this into the formula gives us:

side length = 2 * 1 * sin(180/5) = 2 * 1 * sin(36) = 2 * 0.587785 = 1.175570

So the perimeter of the regular pentagon is equal to 5 * 1.175570 = 5.877849 meters.

HELP DUE IN 5 MINS!

Solve for x in the polygon below.

x=?? degrees

Answers

Answer:

135

Step-by-step explanation:

540-75-120-120-90=135

Answer:

x = 135

Step-by-step explanation:

Total sum of interior angles of a pentagon = 540

75 + 120 + 120 + 90 + x = 540

405 + x = 540

=> Subtract 405 on both sides of "="

x = 135

Hope this helps!

A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd

Answers

The chance you get a odd number of heads from the first coin is 1/3,

What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1  and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2

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A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female

Answers

The probability that all three are female is  0.281

What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability. The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

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yeeeeeeeeeeeeeeeeeeee help

Answers

Answer:

x = 52

Step-by-step explanation:

180 - 72 = 108

108 + 20 + x = 180

128 + x = 180

180 - 128 = x

x = 52

Have a nice day!

Type in the missing values to complete the simplified form of the expression 4x-4+3y+ 6-2x+3y.

__ x +__ y + __

Answers

Answer:

2x+6y+2

Step-by-step explanation:

The answer is 2x+6y+2
I can help you with all ur work (813) 819-5978

Whats the perimeter of this small parallelogram?

Answers

Answer:

Perimeter = 18 units

Step-by-step explanation:

one side = 4

other side²  = 3² + 4² + 25

other side = √25 = 5

Perimeter = (2 x 4) + (2 x 5) = 18 units

A salesperson at a jewelry store earns ​9% commission each week. Last​ week, sold $750
worth of jewelry. How much did make in​ commission? How much did the jewelry store make from ​sales?

Answers

The amount made in commission is $67.5.

The amount made in sales by the store is $682.5.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount sold last week = $750.

Commission = 9%

The amount of commission.

= 9/100 x 750

= $67.5

The sales made last week by the store.

= 750 - 67.5

= $682.5

Thus,

$67.5 was made in commission.

$682.5 was made from sales.

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12. Find T in the diagram, if R = 110° and S = 60°.

Answers

Answer:

∠T = 130°

Step-by-step explanation:

The figure we are given is a quadrilateral, a 4 sided shape.

There are many different types of quadrilaterals, such as a rhombus, rectangle, etc.

How will we know which quadrilateral the given figure is?

We will have to look at the given properties of the figure to find out.

We are given that there are two adjacent pairs of congruent sides.

RS = RU, and ST = UT.

Thus, the given quadrilateral is a kite.

Now that we know that the given figure is a kite, we can utilize a kite's angle properties to find out ∠T.

In a kite, the non-vertex angles (∠S and ∠U) are congruent.

If ∠S = 60°, then ∠U = 60°.

In a kite, the sum of the interior angles is 360°.

Hence:

∠R + ∠S + ∠T + ∠U = 360°

Therefore, we can substitute the angles we know into the equation and solve for ∠T.

∠R + ∠S + ∠T + ∠U = 360°

110 + 60 + ∠T + 60 = 360

110 + 120 + ∠T = 360

230 + ∠T = 360

∴ ∠T = 130°

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Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum fo a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72

Work out the value of Dylan's initial investment

Answers

The amount invested by Dylan will be £1200.

What is simple interest?

Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate.

Given that Dylan invested some money in his bank. He agreed on a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period, the value of his investment increased by £72.

The amount of money invested will be calculated as,

SI = ( P x R x T ) / 100

72 = ( P x 3 x 2 ) / 100

7200 = 6P

P = 7200 / 6

P = £1200

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if (1,-7) is in the solution area of the inequality y ≤ 1x + b, what is the smallest value of b possible?

Answers

Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.

I need help, it’s for my final grade

Answers

I believe the answer is c

50 points + brainliest PLS HELP ME ASAP. All I need is a right answer and a clear solution. Ty in advance! :)
(anyone who gives absurd answers will be reported right away) ​

Answers

Dimensions of the parallelogram are:

Base is b = 2 ft, Side is a = 5 ft, Height is h = 4 ft.

Its perimeter is:

P = 2(2 + 5) = 2(7) = 14 ft

Its area is:

A = bh = 2*4 = 8 ft²

When the scale factor is 2

Perimeter is 2 times greater:

P = 2*14 = 28 ft

Area is 2*2 = 4 times greater:

A = 4*8 = 32 ft²

When the scale factor is 3

Perimeter is 3 times greater:

P = 3*14 = 42 ft

Area is 3*3 = 9 times greater:

A = 9*8 = 72 ft²

When the scale factor is 1/2

Perimeter is 2 times smaller:

P = 14/2 = 7 ft

Area is 2*2 = 4 times smaller:

A = 8/4 = 2 ft²

Encuentra dos numeros tales que el doble del mayor menos la mitad del menor exceda en 15 unidades a la quinta parte de la suma de ambos

Answers

Respuesta:

12, 13

Explicación paso a paso:

Dejar,

Número más pequeño = x

Número mayor = x + 1

Expresarse matemáticamente;

2 (x + 1) - (x / 2) = ((x + 1 + x) / 5) + 15

2x + 2 - 0.5x = 0.2 (2x +1) + 15

1.5x + 2 = 0.4x + 0.2 + 15

1.5x - 0.4x = 0.2 + 15 - 2

1,1 veces = 13,2

x = 13,2 / 1,1

x = 12

x + 1 = 12 + 1 = 13

Type the correct answer in each box.

Table A: Inventory Stock


Product Store A Store B Store C

X 543 356 643

Y 364 476 419

Z 376 903 409


Table B: July Unit Sales


Product Store A Store B Store C

X 102 78 97

Y 98 87 59

Z 54 89 79


Table A shows the total inventory of three products for three Sports Equipment Corporation stores on July 1. Table B shows unit sales data for the month of July.


If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by c22 is
.

In a matrix with components aij, which represent unit sales for July, the maximum possible value that a31 can have is

Answers

The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.

Table C: Ending Inventory

Product Store A Store B Store C

X 441 278 546

Y 266 389 360

Z 322 814 330

The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.

The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A.

The value of the entry represented by c22 in the matrix C that shows the inventory at the end of July is 389, and the maximum possible value that a31 can have is 903.

The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B. The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A. This value indicates that the maximum number of units of Product Z that can be stored in Store C is 903. In summary, the value of c22 in the matrix C is 389, and the maximum value of a31 is 903.

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Someone please answer?????

Answers

Answer:

y ≈±6.8556546

Step-by-step explanation:

y^2 = 47

Take the square root of each side

sqrt(y^2) = ±sqrt(47)

y ≈±6.8556546

Answer: y≈6.85565

Step-by-step explanation:

[tex]\sqrt{y}[/tex] =[tex]\sqrt{47}[/tex]

y≈6.85565

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