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a_sh-v [17]
2 years ago
9

Simplify and explain how you got the answer:

Mathematics
1 answer:
timama [110]2 years ago
5 0

Answer:

The answer is A

Step-by-step explanation: look at the picture for explanation

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The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of
EastWind [94]
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
8 0
3 years ago
Can you help with this one: Dorthy Katz, a computer programmer, earns regular hourly rate of 32.25 and time and a half when she
Katena32 [7]

a) 32.25* 40 = 1290

b) 32.25 (1.5) *12 =580.50

c) 1290+580.50=1870.50

3 0
2 years ago
A museum has an aquarium in the shape of a right rectangular prism that is 6 1/4 feet long, 7 1/5 feet wide, and 4 1/2 feet high
Evgesh-ka [11]

Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

Volume = 5 × 9 × 4.5

Volume = 202.5 cubic feet

4 0
3 years ago
A randomized study compared the effectiveness of two mosquito repellents. The treatment group using Spray A reported a mean of 3
BlackZzzverrR [31]

Answer:

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

Step-by-step explanation:

Given that:

The treatment group using Spray A reported a mean of 3.5 mosquito bites.

The treatment group using Spray B reported a mean of 5.6 mosquito bites.

After the data are  re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;

The best conclusion that can be make based on the data from the dot plot is :

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

5 0
2 years ago
Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline
mariarad [96]

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

3 0
2 years ago
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