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Serga [27]
2 years ago
10

What expressions are equivalent to 7^3 * 7^x

Mathematics
1 answer:
solong [7]2 years ago
3 0

Answer:

The question = (7^3)*(7^x)

When multiplying two exponents with the same base, all you do is add the exponents together and keep the same base

Therefore,

(7^3)*(7^x) = 7^(3+x)

Step-by-step explanation:

7^3+x is the answer

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An object is launched from a launching pad 144 ft. above the ground at a velocity of 128ft/sec. what is the maximum height reach
ollegr [7]

Answer:

18) a. h(x) = -16x² + vx + h(0) ⇒ h(x) = -16x² + 128x + 144

b. The maximum height = 400 feet

c. Attached graph

19) The rocket will reach the maximum height after 4 seconds

20) The rocket hits the ground after 9 seconds

Step-by-step explanation:

* Lets study the rule of motion for an object with constant acceleration

# The distance S = ut ± 1/2 at², where u is the initial velocity, t is the time

  and a is the acceleration of gravity

# The vertical distances h in x second is h(x) - h(0), where h(0)

   is the initial height of the object above the ground

∵ h(x) = vx + 1/2 ax², where h is the vrtical distance, v is the initial

  velocity, a is the acceleration of gravity (32 feet/second²) and x

  is the time

18)a.

∵ The value of a = -32 ft/sec² ⇒ negative because the direction

   of the motion

  is upward

∴ h(x) - h(0) = vx - (1/2)(32)(x²) ⇒ (1/2)(32) = 16

∴ h(x) = vx - 16x² + h(0)

∴ h(x) = -16x² + vx + h(0) ⇒ proved

* Find the height of the object after x seconds from the ground

∵ h(0) = 144 and v = 128 ft/sec

∴ h(x) = -16x² + 128x + 144

b.

* At the maximum height h'(x) = 0

∵ h'(x) = -32x + 128

∴ -32x + 128 = 0 ⇒ subtract 128 from both sides

∴ -32x = -128 ⇒ ÷ -32

∴ x = 4 seconds

- The time for the maximum height = 4 seconds

- Substitute this value of x in the equation of h(x)

∴ The maximum height = -16(4)² + 128(4) + 144 = 400 feet

c. Attached graph

19)

- The object will reach the maximum height after 4 seconds

20)

- When the rocket hits the ground h(x) = 0

∵ h(x) = -16x² + 128x + 144

∴ 0 = -16x² + 128x + 144 ⇒ divide the two sides by -16

∴ x² - 8x - 9 = 0 ⇒ use the factorization to find the value of x

∵ x² - 8x - 9 = 0

∴ (x - 9)( x + 1) = 0

∴ x - 9 = 0 OR x + 1 = 0

∴ x = 9 OR x = -1

- We will rejected -1 because there is no -ve value for the time

* The time for the object to hit the ground is 9 seconds

8 0
2 years ago
The cost to mail a letter today is $0.52 and the rate of inflation each year is 2%. In 40 years, how much will you have to pay?
Nastasia [14]

Answer:

94 cents?

Step-by-step explanation:

2%*40=80%

1.80*0.52=0.936

In 40 years, mail may cost about 94 cents.

(I think this is the correct answer ://)

6 0
3 years ago
The diameter of circle p below is 39.4 what is the approximate area of circle p???
givi [52]

1134.11

This should be the answer

7 0
2 years ago
Fred bought 4 liters of liquid laundry detergent 3,250 milliliters of fabric softener
Harrizon [31]
3.250 liters of softener because you have to jump three times according to the ladder method.
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3 years ago
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There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Nata [24]

So there is a total of 6 ears, 12 paws, and 3 tails in the room.

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3 years ago
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