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Romashka-Z-Leto [24]
2 years ago
11

The UAE Hope Probe is between 22,000 Km and 44,000 KM away from mars. This means its between _____________m and ______________m.

PLease reply in 2 min and SHOW UR WORK :)
Mathematics
1 answer:
Marina86 [1]2 years ago
6 0

Answer:

This means it is between 22000000 m and 44000000 m.

Step-by-step explanation:

From the question, the UAE Hope Pobe is between 22 000 km and 44 000 km away from Mars.

Since,

1 000 m = 1 km

Then,

22 000 km = 22 000 x 1000 m

                   = 22000000 m

also,

44000 km = 44000 x 1000 m

                  = 44000000 m

Therefore, the Probe is between 22000000 m and 44000000 m.

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai
nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}

\frac{1}{4} = \frac{15 + x + x}{x(15+x)}

\frac{1}{4} = \frac{15 + 2x}{x(15+x)}

Applying cross multiplication.

x^2 + 15x = 4(15 + 2x)

x^2 + 15x = 60 + 8x

x^2 + 7x - 60 = 0

Quadratic equation with a = 1, b = 7, c = -60. So

\Delta = 7^{2} - 4*1*60 = 289

x_{1} = \frac{-7 + \sqrt{289}}{2} = 5

x_{2} = \frac{-7 - \sqrt{289}}{2} = -12

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0
2 years ago
PLEASE ANSWER & EXPLAIN [ 100 POINTS ]
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Answer:

The wording seems a bit off, I usually see it as deductive reasoning but yes, you take what you know and use that to "deduce", or find out something

5 0
3 years ago
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zhuklara [117]

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

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2 years ago
A decorative hat is shaped like a cone. The hat has a 7 inch diameter and an 8 inch height.
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Step-by-step explanation:

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A cylinder can hold 450 inches of water. How many cubic inches of water can a cone that has a congruent base and equal height to
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Answer:

150 cubic inches of water

Step-by-step explanation:

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