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Likurg_2 [28]
3 years ago
14

Can someone help me please?

Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

look it up

Step-by-step explanation:

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an open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bendin
blagie [28]
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)

Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches

Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
8 0
3 years ago
What is 3,200,000,000,000 in scientific notation
sashaice [31]
3 200 000 000 000= 3.2 \cdot 10^{12}
5 0
3 years ago
If f (x)=-2x–14, then f-1(x)=​
Anastaziya [24]

Answer:

-(x+14)/2

Step-by-step explanation:

There is a website that automatically calculates this for you.

Check it out, its called symbolab

5 0
3 years ago
Find the value of given expression<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B44%20%2B%2077%7D%20" id="TexFormula
Naily [24]

Answer:

11

Step-by-step explanation:

square of 44 + 77

1st step = go with the number that is inside the square

that will 44+77 = 121

now using the square root , you may think about which number multiple by himself give you 121

11×11 =121

so square root of 121 = 11

8 0
3 years ago
Read 2 more answers
A company selling light bulbs claims in its advertisements that its light bulbs’ average life is 1000 hours. In fact, the life s
Ket [755]

Answer:

The probability that a randomly chosen light bulb will last less than 900 hours is 0.1587.

Step-by-step explanation:

The life span of these light bulbs is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours

Mean = \mu = 1000 hours

Standard deviation =\sigma = 100 hours

We are supposed to find the probability that a randomly chosen light bulb will last less than 900 hours.i.e. P(x<900)

So, Z=\frac{x-\mu}{\sigma}

Z=\frac{900-1000}{100}

Z=-1

P(x<900)=P(z<-1)=0.1587

Hence the probability that a randomly chosen light bulb will last less than 900 hours is 0.1587.

4 0
3 years ago
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