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ch4aika [34]
3 years ago
7

Which expression is equivalent to (a^3+b^4+c^5)^2

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
The answer is a^6b^8c^10
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Vincent put logs in the shape of a rectangular prism outside his house. However, it is supposed to snow, and Vincent wants to bu
Juliette [100K]

Answer:

5112 cm^{2} of material

Step-by-step explanation:

<h2>Piece of cake!</h2><h2 />

A rectangular prism has 6 sides, the same as a dice: a top, a bottom, and four sides.

<h3>Two are width by lenght,</h3><h3>Two are width by height, and the other</h3><h3>two are height by width</h3><h3 />

So we can write:

2(W*L)=2(12*33)=792cm^{2}

plus

2(W*H)=2(12*48)=1152cm^{2}

plus

2(H*W)=2(48x33)=3168 cm^{2}

792+1152+3168= 5112 cm^{2}

<h3>The minimum amount of material needed to cover the pile of logs is 5112 cm^{2}</h3>

7 0
3 years ago
A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in
Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

4 0
3 years ago
-2c + 3c - 5 - 4c + 7
kaheart [24]

Answer:−

3c+2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Kyle is renting a jet ski for the day. Below are his two options.
Ira Lisetskai [31]

Hi Lawrence!

---------------------------------------------------

We Know:

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

---------------------------------------------------

Equation:

x = per hour

y = total

Powersports: 30x + 50 = y

Sun and Surf: 20x + 80 = y

---------------------------------------------------

Solution: (Add the deposit then start adding hourly costs)

Powersports: 80, 110, 140

Sun and Surf: 100, 120, 140

---------------------------------------------------

Answer: After <u>3 hours</u> both companies will cost the same amount of money.

---------------------------------------------------

Hope This Helps :)

3 0
3 years ago
The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan

Answer:

0.6 probability that -2 \leq x \leq 2

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)

From the table:

P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60

0.6 probability that -2 \leq x \leq 2

4 0
2 years ago
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