MATHEMATICS COLLEGE

Combine the like terms to create an equivalent expression:
−4p+(−2)+2p+3

Answers

Answer 1
Answer:

Answer:

-2p+1

Step-by-step explanation:

combine -4p+2p=-2p and -2+3=1 so your answer is -2p+1

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Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.

Answers

The perimeter and area of the composite shape is:

  • B. Perimeter = 19.42 inches; Area = 26.13 square inches

Recall:

Area of a circle = πr²

Perimeter of circle = 2πr

Area of triangle = 1/2(bh)

The composite shape given is composed of a triangle and a semicircle.

Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle

Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches

Area of the composite shape = area of semicircle + area of triangle

Area = 1/2(3.14 × 3²) + 1/2(6 × 4)

Are = 14.13 + 12

Area of the composite shape = 26.13 square inches.

Therefore, the perimeter and area of the composite shape is:

  • B. Perimeter = 19.42 inches; Area = 26.13 square inches

Learn more about area and perimeter of composite shapes on:

brainly.com/question/6317134

Answer:

Step-by-step explanation:

The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as

Perimeter = 1/2 × 2πr = πr

Since radius, r = 3, then

Perimeter of semi circle = 3 × 3.14 = 9.42 inches

Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches

Area of semi circle = 1/2 × πr²

Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²

Area of triangle = 1/2 × base × height

Area of triangle = 1/2 × 6 × 4 = 12 inches²

Area of composite shape = 14.13 + 12 = 26.13 inches²

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?Linear equation:
1
2
(x - 3) = 9

Answers

Peter started with 21 cards
( also your bottom formula is wrong it should be 1/2(x-3)=9)

Find the inverse laplace transform of: (2 s + 4) / (s - 3)^3

Answers

Answer:

e^(3t)(2t+5t^(2))

Step-by-step explanation:

L^(-1)[(2s+4)/((s-3)^(3)) ]=

Using the Translation theorem to transform the s-3 to s, that means multiplying by and change s to s+3

Translation theorem:L^(1) [F(s-a)=L^(-1)[F(s)|_(s \to s-a)\n L^(1) [F(s-a)=e^(at) f(t)

L^(-1)[(2s+4)/((s-3)^(3)) ]=e^(3t) L^(-1)[(2(s+3)+4)/(s^(3)) ]

Separate the fraction in a sum:

e^(3t) L^(-1)[(2s+10)/(s^(3)) ]=e^(3t) L^(-1)[(2s)/(s^(3))+(10)/(s^(3)) ]=e^(3t) (L^(-1)[(2)/(s^(2))]+ L^(-1)[(10)/(s^(3))])

The formula for this is:

L^(-1)[(n!)/(s^(n+1)) ]=t^(n)

Modify the expression to match the formula.

e^(3t) (2L^(-1)[(1)/(s^(1+1))]+ (10)/(2) L^(-1)[(2)/(s^(2+1))])=e^(3t) (2L^(-1)[(1)/(s^(1+1))]+ 5 L^(-1)[(2)/(s^(2+1))])

Solve

e^(3t) (2L^(-1)[(1)/(s^(1+1))]+ 5 L^(-1)[(2)/(s^(2+1))])=e^(3t)(2t+5t^(2) )

The speed of light is about 1.9 x 10^5 miles per second. It takes about 500 seconds for light to travel from the Sun to Earth.What is the approximate distance between Earth and the Sun?
A 3.8 x 10^2 miles
B 9.5 x 10^6 miles
C 9.5 x 10^7 miles
D 95 x 10^7 miles

Answers

We are 93,000,000 miles away from the sun. The answer should be 9.3 x 10^7.

Help help help math math ASAP

Answers

Answer:

4

Step-by-step explanation:

f(-3) = 2 * (-3) + 10

What the area of the polygon below

Answers

Answer:

i how are you

Step-by-step explanation:
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