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Helga [31]
2 years ago
7

What value of c makes the equation true?

Mathematics
1 answer:
8_murik_8 [283]2 years ago
3 0
Comparing forms, you see that
  4 = ∛c

The value of c is found by cubing both sides of this equation.
  4³ = c = 64
You might be interested in
A grasshopper jumps straight up from the ground with an initial vertical velocity of 8 feet per second. After how many seconds w
vlabodo [156]

Answer:

Problem 1 : After 0.25 s

Problem 2 : The squirrel doesn't reach the ground before the nut

Step-by-step explanation:

Problem 1

This is a standard physics problem

The equation that defines the movement of the grasshopper given the initial velocity, and the acceleration is the following

Distance =  Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 0, because the grasshopper is on the ground and we choose the reference system there)

Vo is the initial velocity = 8 feet/sec

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 = - 32.174 feet per second per second.)

t is the time

We substitute in the equation, and solve for t (time)

Distance =  Do + Vo*t + 0.5*a*t^2

(1 foot)=  (0)+ (8 feet/s)*t + 0.5*(-32.174 feet/s^2)*t^2

Solving this equation, we get that

t = 0.25 s

Problem 2

This problem is similar to the previous one

We apply the same formula

D =  Do + Vo*t + 0.5*a*t^2

But in this case, we are going in the opposite direction, and we have an initial distance.

Do = 27 feet

Vo is the initial velocity of the nut = -6 feet/s

D = 0  (Ground)

We substitute in the equation, and solve for t (time)

(0) =  (27) + (-6 feet/s)*t + 0.5*(-32 feet/s^2)*t^2

t = 1.125 s  <  2s

The nut reaches ground in 1.125 s, so the squirrel doesn't reach the ground before the nut

4 0
3 years ago
Which of the following could be the perimeter of a rectangle with an area of 24 square inches?
Veronika [31]

Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches

7 0
2 years ago
Stella bought a dinette set on sale for $725. The original price was $1,299. To the nearest tenth of a percent, what was the rat
kifflom [539]

Answer:

40%

Step-by-step explanation:

1299-725= 574

574/1299 x 100 = 44.19%

8 0
3 years ago
Find the value of x.
agasfer [191]

Answer:

\boxed {\boxed {\sf A. \ 18}}

Step-by-step explanation:

The two angles are inside a right angle. The small box signifies a right angle/ 90° angle.

Therefore, the sum of the angle measures must equal 90. We can set up an equation.

56+(x+16)=90

Combine the like terms on the right side. The 2 constants: 56 and 16 can be added.

(56+16)+x=90\\

72+x=90

Since we are solving for x, we must isolate the variable. 72 and x are being added. The inverse of addition is subtraction, so subtract 72 from both sides.

72-72+x=90-72

x=18

x is equal to 18 and choice A is correct.

6 0
3 years ago
Evaluate the quotient of 1.05 x 103 and 1 x 103:
Mama L [17]
1.5 * 103= 108.15
103 * 1 = 1
hope i helped
8 0
3 years ago
Read 2 more answers
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