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Travka [436]
2 years ago
15

Scientists are preparing two satellites to be launched. The equation y=400x represents the number of miles, y, that the satellit

e, Space Explorer B, flies in x hours. The satellite, Space Explorer A, flies 36400 miles in 13 hours. How many fewer miles does Space Explorer B travel in one hour than Space Explorer A?
Mathematics
1 answer:
Andrews [41]2 years ago
5 0

Answer:

2400 miles

Step-by-step explanation:

So the first equation is pretty straight forwards, it's in the slope-intercept form y=mx+b where m is the slope, and b is y-intercept, since as x increases by 1, the value y increases by m, which by definition is what the slope is, so m is the slope. In this context the slope is how many miles in x hours. So Space Explorer B flies 400 miles per hour. The amount of miles that Space Explorer A flies per mile can be calculated by dividing the 36400 by the 13 hours it had to travel. This gives you 2800 miles. So to find how many fewer miles Space Explorer B travels than Space Explorer A you subtract the 2 slopes. 2800 - 400 = 2400. So Space Explorer B travels 2400 fewer miles than Space Explorer A

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Answer:

The last option = 1.37 × 10 race to -5

3 0
3 years ago
Please help me. I can’t do it
Maslowich

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6 0
3 years ago
Is y=-4+3x^2 maximum of minimum
mixer [17]

Answer:

minimum

Step-by-step explanation:

Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0

Whether the function is maximum or minimum can be determined by consideration of the sign of the coefficient a

• If a > 0 then minimum

• If a < 0 then maximum

For y = - 4 + 3x² the value of a is 3 > 0

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7 0
4 years ago
while only 5% of babies have learned to walk by the age of 10 months, 75% are walking by 13 months. if the age at which babies d
7nadin3 [17]

Answer:

mu=12.1299

\sigma=1.2987

Step-by-step explanation:

In the normal distribution curve, we will have 5% below 10 months [horizontal axis] and 75% below 13 months [horizontal axis].

We need to find z-score using z-table [normal table] that corresponds to

5% = 0.05

and

75% = 0.75

Zscore formula:

z=\frac{x-\mu}{\sigma}

Where mu is mean and sigma is standard deviation [these are the 2 parameters we are seeking]

So, 0.05 corresponds to z = -1.64, and

0.75 corresponds to z = 0.67

Now we put both of these into z-score formula and solve both equations for mu and sigma.

-1.64=\frac{10-\mu}{\sigma}

and

0.67=\frac{13-\mu}{\sigma}

The first equation becomes:

-1.64=\frac{10-\mu}{\sigma}\\-1.64\sigma+\mu=10\\mu=10+1.64\sigma\\

Now, simplifying 2nd equation and putting this in:

0.67=\frac{13-\mu}{\sigma}\\0.67\sigma=13-(10+1.64\sigma)\\0.67\sigma=13-10-1.64\sigma\\2.31\sigma=3\\\sigma=1.2987

Now finding mu:

\mu=10+1.64(1.2987)\\\mu=12.1299

These two MU(mean) and SIGMA(standard deviation) are the 2 parameters.

4 0
3 years ago
Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at lea
Iteru [2.4K]

Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

8 0
3 years ago
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