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s2008m [1.1K]
3 years ago
13

Find the volume of the rectangular prism. 19 cm 9 cm 2 cm

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer: 342 cm³

Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.

Volume = length × width × height

Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.

Volume = (19 cm) (9 cm) (2 cm)

Volume = 342 cm³

Therefore, the volume of the rectangular prism is 342 cm³.

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Find f (-4) if f(x) = 3x - 10
fenix001 [56]

Answer:

-22

Step-by-step explanation:

if f(-4) then f(-4) = 3(-4) - 10

which equals -22

6 0
3 years ago
Find the 11th termm of the arithmetic sequence with first term 3 and common difference -2
yuradex [85]

Answer:

-17

Step-by-step explanation:

a=3, d=-2

11th term= a + 10d

11th term= 3 + 10(-2)

= 3 + (-20)

= 3 - 20

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8 0
3 years ago
A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
jarptica [38.1K]

Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.

<u>Given the following data:</u>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<h3>How to determine the y-intercept of this function?</h3>

Mathematically, a sine function is modeled by this equation:

y = Asin(ωt + ø)

<u>Where:</u>

  • A represents the amplitude.
  • ω represents angular velocity.
  • t represents the period.
  • ø represents the phase shift.

Also, the period of a sine wave is given by:

t = 2π/ω

2 = 2π/ω

ω = 2

Substituting the given parameters into the equation, we have;

y = 3sin(2t + π/2)

At t = 0, we have:

y = 3sin(2(0) + π/2)

y = 3sin(π/2)

y = 3sin(90)

y = 3 × 1

y = 3.

In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.

Read more on phase shift here: brainly.com/question/27692212

#SPJ1

5 0
2 years ago
Judy wants to make a small patio in her garden she plans to use pavers the area of the patio is 2p^2+30p+108 square meters and t
stellarik [79]
2p^2 + 30p + 108      2(p + 6)(p + 9)
-----------------------  =   --------------------  =  2(p + 9) / (p - 1)
p^2 + 5p - 6                (p + 6)(p - 1)


Its the first choice


3 0
4 years ago
-1/2(-3y+10) combing like terms
ohaa [14]

Answer:

3/2y - 5

Step-by-step explanation:

4 0
3 years ago
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