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zzz [600]
3 years ago
12

A------------------ does not have an apex. prism cone pyramid

Mathematics
2 answers:
LuckyWell [14K]3 years ago
4 0
A prism is the answer
Kaylis [27]3 years ago
3 0
A prism does not have an apex.

An apex is the highest point of an object.
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A supermarket employee wants to construct an open-top box from a 14 by 30 in piece of cardboard. To do this, the employee plans
Tanzania [10]

Answer: The side of the square will be 3 cm.

Step-by-step explanation:

When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.

l= 30-2x

b = 14-2x

h= x

Hence, the volume of the cuboid will be ,

V = lbh

= (30-2x)(14-2x)x

Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.

Therefore, \frac{dV}{dx} = 0

\frac{dV}{dx} =-2(14-2x)x -2(30-2x)x+(30-2x)(14-2x)=0

solving we get, x = 3, x = \frac{35}{3}

We can omit x = \frac{35}{3} because 14 - 2x < 0 , which is not possible.

Therefore, x=3.

7 0
4 years ago
Jalen charges customers a flat fee of $30 to mow their grass plus $8.50 an hour for additional yard work. If Mr. Williams pays J
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Answer:

She spent 2 and a half hours doing extra work.

7 0
3 years ago
Find the x and y intercepts of the graph of the linear equation 3x + 6y= 24
Darina [25.2K]

Answer:

y=-0.5x+4

Step-by-step explanation:

x intercept=-0.5/1

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4 0
3 years ago
Which of these shows the result of using the first equation to substitute for y
Artyom0805 [142]
The answer is A
since 2x+3(2x)=16
Hence 8x=16
8 0
3 years ago
According to a recent? study, 8.6?% of high school dropouts are? 16- to? 17-year-olds. In? addition, 5.7?% of high school dropou
Natalija [7]

Answer:

0.6628 or 66.28%

Step-by-step explanation:

The probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is determined by the probability of them being a white 16 to 17 years old dropout (5.7%), divided by the probability of them being a 16 to 17 years old dropout of any ethnicity (8.6%):

P(W|16\ to\ 17)=\frac{P(W\ and\ 16\ to\ 17)}{P(16\ to\ 17)} =\frac{0.057}{0.086}\\P(W|16\ to\ 17)=0.6628=66.28\%

There is a 0.6628 or 66.28% chance that a randomly selected dropout is white, given that he or she is 16 to 17 years old.

8 0
3 years ago
Read 2 more answers
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