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1 year ago

PLS BELP IM JUST CONFUSED

Mathematics

1 answer:

Ganezh [65]1 year ago

4 0

Answer:

(0, 3)

Step-by-step explanation:

The y-intercept of any function can generally be defined as: $(0, f(0))$ , since the y-intercept is when the function crosses the y-axis.

Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.

By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer

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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

How to write a whole number into a fraction in a subtraction problem

insens350 [35]

Im hoping you just want an example so here you go

whole number: 16
fraction version of 16: 16/1

to subtract fractions you have to have a common denominator.

so if i had a problem like 6 -1/3
step 1 would be to turn 6 into a fraction: 6/1
step 2 is to find the common denominator:
6/1 -1/3, in this case it is 3, so you multuply the first term by 3
you would then get 18/3 - 1/3, now all you do if subract numerators, 18-3=15

final answer would be 15/3, you can simplify it into 5/1 which is also 5

7 0

3 years ago

Find the solution of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2545%20%5Ctimes%202545%7D%20" id="Te

poizon [28]

Answer:

√{2545×2545}=√2545²=±2545

7 0

2 years ago

Read 2 more answers

Yesterday, Jack drove 44 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

lisov135 [29]

35.6 miles per gallon

8 0

3 years ago

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1 2/7 +2 1/3x +3/14+x=9

Genrish500 [490]

Answer:

9/4

Step-by-step explanation:

1 2/7=9/7

2 1/3=7/3

--------------

9/7+7/3x+3/14+x=9

18/14+3/14+7/3x+3/3x=9

21/14+10/3x=9

10/3x=9-21/14

10/3x=9-3/2

10/3x=18/2-3/2

10/3x=15/2

x=(15/2)/(10/3)

x=(15/2)(3/10)

x=45/20

simplify

x=9/4

8 0

2 years ago