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2 years ago

Which best describes the relationship among the volumes of hemisphere X, cylinder Y, and cone Z?

Mathematics

1 answer:

kogti [31]2 years ago

6 0

Answer: I saw on another post on here with the same question that someone said it was

B. The sum of the volumes of X and Z equals the volume of Y.

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7(x+2)=2x-1 solve for the variable

Len [333]

Answer:

x = - 3

Step-by-step explanation:

Given

7(x + 2) = 2x - 1 ← distribute parenthesis on left side

7x + 14 = 2x - 1 ( subtract 2x from both sides )

5x + 14 = - 1 ( subtract 14 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

7 0

2 years ago

A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur

Deffense [45]

Answer:

$\dfrac{2s^3+136}{s}$

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = $34$ ft^3$

Volume of the box = $s^2h$

Then:

$s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}$

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box $= 2(s^2+sh+sh)$

$S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}$

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2 years ago

ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the probability that i

oksian1 [2.3K]

Answer:

(a) 0.0001 or 0.01%

(b) 0.01 or 1%

Step-by-step explanation:

Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.

The probability that if you forget your PIN, then you can guess the correct sequence

(a) at random:

$P=(\frac{1}{10})^4=0.0001=0.01\%$

(b) when you recall the first two digits.

$P=(\frac{1}{10})^2=0.01=1\%$

7 0

2 years ago

8 less than the product of 5 and -4

Karolina [17]

The answer would be:
5(-4) - 8
-20 - 8
-28

4 0

2 years ago

The equation of a line is y = 2x − 6. Find the slope and y-intercept of the line.

SCORPION-xisa [38]

Answer:

Slope is 2 and y-int is -6

Step-by-step explanation:

y=mx+b

M is slope

B is y-int

7 0

2 years ago

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