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3 years ago

Two cylinders are similar with a scale factor of 1:4. Which shows the ratio of the volumes of the cylinders?

2 answers:

7 0

E.

It means the number on the left is going to be 3/4 smaller than the one on the right. E is the only option that shows that.

Vladimir [108]3 years ago

3 0

E. 3/12 is equivalent to 1/4, which is the ratio of the cylinders.

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Name each polynomial 4m^2-5m+6 18s-7 6p^3

faltersainse [42]

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

5 0

3 years ago

A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

Step-by-step explanation:

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

7 0

3 years ago

Barb and John each have a savings account with a sum of money in it. Barb and John each begin to add a set amount of money each

BigorU [14]

Answer:

The answers are, "John saves $35 dollars the first week" and "John is saving at a faster rate than Barb"

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4 years ago

Read 2 more answers

For Jack's birthday, his mom is taking him and 12 friends to the zoo. If she pays $11 for each ticket using her credit card, wha

Gemiola [76]

Jack's mom is purchasing thirteen tickets at a price of $11 each. This equals a total of $143 in total spent. If Jack's mom has a credit card limit of $500, then after purchasing $143 with the card, her available amount to purchase additional things is $357. This impact on her available credit is due to credit cards working on an available balance system. When Jack's mom first received her credit card, a set balance or total amount she could purchase with the card was set. In this example, her total amount she could purchase with the card was $500. After her purchase of the tickets for $143 was completed, she subtracted that amount from her total available of $500 and that is why her available amount to purchase is now $357.

4 0

4 years ago

Read 2 more answers

Factor the expression completely. x^5y^2-x^2y^4

Zarrin [17]

Answer:

x5y2−x2y4

Step-by-step explanation:

There are no like terms. Therefore the answer is correct. =x^5y^2−x^2y^4

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3 years ago