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3 years ago

A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation used to represent the height of the ball, h in feet after t seconds is expressed as

h = -16t² + 48t + 8

The equation is a quadratic equation. The plot of this equation on a graph would form a parabola whose vertex would be equal to the maximum height travelled by the ball.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 48

Therefore,

Vertex = - 48/2 × - 16 = 48/32 = 1.5 seconds

So the ball will attain maximum height in 1.5 seconds.

To determine the maximum height, we would substitute t = 1.5 into the given equation. It becomes

h = -16(1.5)² + 48(1.5) + 8

h = - 36 + 72 + 8 = 44 feet

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Clare travels at a constant speed, as shown on the double number line

Usimov [2.4K]

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles) Elapsed time (hours) Speed (miles/hour)

0 0 0

72 2 36

144 4 36

216 6 36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36 = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

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3 years ago

What is the value of y in the equation 4(5y –8 –2) = 185 –15?

Rina8888 [55]

In an equation the Left hand side must equal the right hand side 4(5y-8-2)=185-15 20y-32-8=170 20y=170+32+8 20y=210 Therefore y=10,5 When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side

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3 years ago

Why is x=5 not in the domain of the function

Anestetic [448]

BC it's a rate of change

5 0

3 years ago

Order the fraction and decimals from least to greatest.<br> 0.78, 0.5, 3/5

ExtremeBDS [4]

Answer:

0.5, 3/5, 0.78

Step-by-step explanation:

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3 years ago

Read 2 more answers

An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$