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blondinia [14]
3 years ago
9

An astronaut drops a rock into a crater on the moon the distance d(t), in meters, the rock travels after T seconds can be modele

d by the function d(t)= .8t^2.what is the average speed in meters per second of the rock between five and 10 seconds after it was dropped

Mathematics
1 answer:
stepladder [879]3 years ago
3 0
  speed = distance/time
The average speed will be the change in distance divided by the change in time.
  (d(10) -d(5))/(10 -5) = (80 -20)/5 = 12 . . . . meters per second

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Mary sells fruit with four of her friends. If the earnings are divided evenly, how
Naya [18.7K]

Answer: 30× 4 = 120

120÷4 = 30

Step-by-step explanation:

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3 years ago
PLEASE HELP!!! solve the right triangle​
DIA [1.3K]

Answer:

UV = 4.5 (not rounded)

TV = 3√3

m∠U = 60˚

Step-by-step explanation:

UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.

sin(30) = 9/UV

9sin(30) = UV

4.5 = UV

TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.

tan(30) = 9/TV

9tan(30) = TV

3√3 = TV

m∠U = Sum of all interior angles of a triangle is 180˚:

90˚ + 30˚ = 120˚

180˚ - 120˚ = 60˚

Hope this helps :)

7 0
3 years ago
How many terms are in the algebraic expression 2y+3x-5x^2-9?
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There are 4 terms...
7 0
3 years ago
Read 2 more answers
Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1
kati45 [8]

Answer:

Angle 5

Angle 8

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\angle 5 \:\&\: \angle 8 measure less than the measure of Angle 1.

6 0
3 years ago
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
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