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ValentinkaMS [17]
2 years ago
6

A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much

would it cost to manufacture 6 paperweights?

Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

V=a^2\frac{h}{3}

So its just:

8.8^2\frac{12.5}{3} = 322.67 cm^3

Then you just multiply the volume by the cost per cubic centimetre:

322.67cm^3*$0.12=$38.704

After just multiply the cost of one by how many you want, which is 6:

38/704*6=232.32

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\\\\
\textit{setting y=0}\implies x^2+2x-255=0
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\textit{now, factoring that}
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(x+17)(x-15)=0\implies 
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notice the picture of the graph added here
low and behold, x = -17, y is 0, and x= 15, y is 0
the graph is touching the x-axis, an x-intercept
or so-called, a "solution"

3 0
2 years ago
Read 2 more answers
List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3
RUDIKE [14]

The recursive formula

a_{n+1} = 5a_n-3

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with a_1=4, we have to multiply it by 5 and subtract 3 to get the next:

a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17

And similarly we can obtain all the next terms:

a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82

a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407

a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032

5 0
2 years ago
Drew burned 1,800 calories Friday playing 1 hour of basketball and canoeing for 2 hours. On Saturday, he spent 2 hours playing b
V125BC [204]

Answer:

He burnt 1000 calories per hour when playing basketball.

Step-by-step explanation:

Let B be calories burned playing basketball, and C calories burned canoing.

1800 = B + 2C

3200 = 2B + 3C

From 1st equatipn, we get that B = 1800 - 2C

Replacing into the 2nd equation, we have:

3200 = 2(1800-2C) + 3C

3200 = 3600 - 4C + 3C

3200 = 3600 - 1C

C = 3600 - 3200

C = 400

Knowing C, we find B.

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2 years ago
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Of all individual tax returns, 37 percent include errors made by the taxpayer. If IRS examiners are assigned randomly selected r
Dima020 [189]

Answer:

mean=4.44

standard deviation=1.67

Step-by-step explanation:

The mean and standard deviation for the number of erroneous returns per batch can be calculated using binomial distribution. The binomial distribution is used because

i) There are one of two possible outcomes( error or no error) that can be categorized into success and failure.

ii) The experiment is repeated fix number of times 12.

iii) The probability of success remains constant at each trial i.e. 37%

iv) The trails are independent.The mean and standard deviation of binomial distribution are np and √npq

Here, n=12, p=0.37 and q=1-0.37=0.63

mean=12*0.37=4.44

standard deviation=√12*0.37*0.63=√2.8=1.67

8 0
2 years ago
A lightbulb has a normally distributed light output with mean 5000 end foot-candles and standard deviation of 50 end foot-candle
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To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
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we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50
8 0
2 years ago
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