The area of a rectangular fountain is x2 + 12x + 20 square feet. A 5-foot walkway is built around the

You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll

Tom [10]

I think it’s 1/12 exactly you have a one in 12 chances of rolling a 5

5 0

3 years ago

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Find the value of 4! O A. 24 O B. 16 O C. 12 O D. 10

Alex73 [517]

Answer:

A) 24

Step-by-step explanation:

4!

4 x 3 x 2 x 1

24

4 0

3 years ago

Kevin has just purchased a small rectangular fish tank that holds 904.5 milliliters of water. The tank has a length of 15 cm and

Nitella [24]

Answer:

A stone is thrown straight up from the edge of a roof, 750 feet above the ground at a speed of 14 feet per second. A) Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? B) At what time does the stone hit the ground? C) What is the velocity of the stone when it hits the ground?

Step-by-step explanation:

A stone is thrown straight up from the edge of a roof, 750 feet above the ground at a speed of 14 feet per second. A) Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? B) At what time does the stone hit the ground? C) What is the velocity of the stone when it hits the ground?

5 0

2 years ago

Solve the system by substitution. - 8x + y = -32 - 3x – 10 = y (,)

agasfer [191]

Answer:

$x=2,\:y=-16$

Step-by-step explanation:

$\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\$

$-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16$

3 0

3 years ago

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What is the greatest common facter of 48 and 84

Snowcat [4.5K]

Answer:12

Step-by-step explanation:

The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12

8 0

3 years ago