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irina [24]
3 years ago
7

Find the length of segment XM please HELP

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

XM = 7

Step-by-step explanation:

M is the midpoint of XY , thus

XM = MY ( given XY is 7 ) , then

XM = 7

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A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface are
mr_godi [17]

The minimum surface area that such a box can have is 380 square

<h3>How to determine the minimum surface area such a box can have?</h3>

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

Read more about surface area at

brainly.com/question/76387

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5 0
2 years ago
The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th
Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

n=\frac{z^{2}\sigma^{2}}{e^{2}}

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, 1-\alpha=0.95 \Rightarrow \alpha=0.05.

Therefore we look for the critical value z_{\alpha/2}=1.96.

Then we calculate the variance:

\sigma = 3.7 \Rightarrow \sigma^{2}=13.69

And we have that:

e=2 \Rightarrow e^{2}=4

<u>Now</u> we replace in the formula with the values we've just obtained:

n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0
3 years ago
What is the additive inverse of the complex number –8 + 3i?
Lady bird [3.3K]
Choices:
–8 – 3i
–8 + 3i
8 – 3i
<span>8 + 3i

The additive inverse of the complex number a + bi is -(a+bi) = -a - bi

In this case, a = -8 and b = 3i

a + bi = -8 + 3i
additive inverse is:  -(-8+3i) = +8 - 3i

The additive inverse of the complex number -8 + 3i is 8 - 3i. The 3rd choice.


</span>
5 0
3 years ago
Read 2 more answers
Kendra was asked to find the number of students who planned to attend the evening sympothy performance. She was told that 40 per
ch4aika [34]

Answer:

It's B

Step-by-step explanation:

4 0
3 years ago
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My brother told me he will give me $.25 per day for 10 days OR he will give me $.01 then give me double the following day for 10
NARA [144]

Answer:

you will get more money if he gives you 1 cent per day then doubles it

Step-by-step explanation:

if your brother gives you 25 cents per day, at the end of 10 days you will have $2.50

if he gives you 1 cent per day then doubles it, this will be your daily earnings:

day 1- 0.01

day 2- 0.02

day 3-  0.04

day 4- 0.08

day 5- 0.16

day 6- 0.32

day 7- 0.64

day 8- 1.28

day 9- 2.56

day 10- 5.12

then when you add all of this up, you would recieve 10.23 cents at the end of day 10

4 0
3 years ago
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