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aliya0001 [1]
3 years ago
11

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t

he cylinder? Use the formula V = pir2h for the volume of a cylinder.
Mathematics
1 answer:
forsale [732]3 years ago
4 0
V = π r² h
V= π (4x+2)² (5x+4)
V = π (4x+2)(4x+2)(5x+4)
V = π (16x²+16x+4)(5x+4)
V= π(80x³+144x²+84x+16)
V= 251.33x³ +452.39x²+263.89x+50.27
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Answer:

7 miles

Step-by-step explanation:

Four miles plus 3 miles = 7 miles


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3 years ago
A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
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Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
3 years ago
Refer to narrative 14-1. a house is selling for $150,000. a deposit of $20,000 was made when the sales contract was signed. the
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3 years ago
What is the equation in standard form of the line y=1/9x + 5​
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<h2><em>The standard form for the equation of a line is Ax+By=C  In this case with the equation y=1/9x+5 B=1 and A=1/9 and C=5 in order to get Ax and By on the same side we can subtract 1/9x from both sides to get this in the correct form and we get </em><u><em>Y-1/9x=5</em></u><em> </em></h2><h2 />

3 0
2 years ago
Help me hurry please
saul85 [17]

Answer:

28x + 8y + 2

Step-by-step explanation:

Combine like-terms within the parentheses, then distribute -2.

Hope this helps! :)

3 0
3 years ago
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