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3 years ago

Add. ˉ8 + ˉ6 = ____

Mathematics

2 answers:

8_murik_8 [283]3 years ago

6 0

The answer is A. If you add a positive with a negative, it becomes a negative.

Nutka1998 [239]3 years ago

3 0

The answer is D +14 because to negatives make a positive

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A closed-top cylindrical container is to have a volume of 250 in2. 250 , in squared , . What dimensions (radius and height) will

miv72 [106K]

Answer:

radius r = 3.414 in

height h = 6.8275 in

Step-by-step explanation:

From the information given:

The volume V of a closed cylindrical container with its surface area can be expressed as follows:

$V = \pi r^2 h$

$S = 2 \pi rh + 2 \pi r^2$

Given that Volume V = 250 in²

Then;

$\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}$

We also know that the cylinder contains top and bottom circle and the area is equal to πr²,

Hence, if we incorporate these areas in the total area of the cylinder.

Then;

$S = 2\pi r h + 2 \pi r ^2$

$S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2$

$S = \dfrac{500}{r} + 2 \pi r ^2$

To find the minimum by determining the radius at which the surface by using the first-order derivative.

$S' = 0$

$- \dfrac{500}{r^2} + 4 \pi r = 0$

$r^3 = \dfrac{500 }{4 \pi}$

$r^3 = 39.789$

$r =\sqrt[3]{39.789}$

r = 3.414 in

Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:

$S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi$

$S'' = \dfrac{1000}{r^3}+ 4 \pi$

Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.

Thus, from $h = \dfrac{250}{\pi r^2}$

$h = \dfrac{250}{\pi (3.414) ^2}$

h = 6.8275 in

7 0

3 years ago

7. Compare the values of the 3s in the<br> number 5,338.

kati45 [8]

Answer:

the first 3 is 10 times the value of the second 3

7 0

2 years ago

HELP i dont know how to do this

Korvikt [17]

Answer

Step-by-step explanation:

First, lets go through B-D and explain why they are correct.

B= f represents the number of flash drives. This means that the coefficient, 10, would be the cost per flash drive.

C= n represents the number of cases of paper. it says so in the question, so that one is a bit easier.

D= f represents the amount of packages of hanging folders. If the coefficient for B is the cost, then that would be the same case for D. Therefore it is correct because the coefficient is 13.

A would be incorrect because the coefficient represents the amount that one item costs. P is the packs of pencils, meaning that it would be $7 per pack of pencils.

Hope this helps!

3 0

4 years ago

What is the probability the computer produces the first letter of your first name

inysia [295]

Answer:

1 out of 26

Step-by-step explanation:

Because there are 26 letters in the alphabet !

4 0

3 years ago

4. Evaluate the following expression for r= 5.<br> 2(r2 - 8)

inessss [21]

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

7 0

4 years ago