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What is the maximum height of the basketball when the player passes the ball to someone? Initially, the ball moves at a speed of 12m/sec at an angle with respect to the horizontal of 45 degrees. Is it possible that other player standing 8m away is able to catch the ball without any bounces?

Answers

Answer 1

Answer:

Answer with explanation:

Since the motion of the ball is projectile motion we shall use the equations for projectile motion.

The maximum height achieved by the projectile is given by

$h_(max)=(v_(o)^(2)sin^(2)(\theta ))/(2g)$

Applying the values we get

$h_(max)=(12^(2)* sin^(2)(45))/(2* 9.81)\n\nh_(max)=3.669m$

The range of the projectile is given by

$R=(v_(o)^(2)sin(2\theta ))/(2g)$

Applying values we get

$R=(12^(2)* sin(2* 45 ))/(2* 9.81)\n\nR=7.339m$

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.

(The height of the players is not taken into account since no info is given about their height.)

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Please help, the question says what statement best describes the placement of the lines Carson Drew

Answers

Answer:

Only line A is a well-placed line of best fit.

Step-by-step explanation:

I did this on Plato and got it correct.

Please help on that excercise

Answers

Step-by-step explanation:

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

17. c-34 = 20

or, c = 20+34

or, c = 54

therefore, c = 54

18. a-4 = -18

or, a = -18 + 4

or, a = -14

therefore, a = -14

19. r-3 = 8

or, r = 8+3

or, r = 11

therefore, r = 11

20. z-100 = 100

or, z = 100+100

or, z = 200

therefore, z = 100

21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6

Describe the following Algebraic Expression using the Algebraic Vocabulary words. Use all four words in yourdescription. Use complete sentences: 12y + 6-8x - m
Terms, coefficients, variables, constants

Answers

Final answer:

The given algebraic expression has terms, coefficients, variables, and constants.

Explanation:

The given algebraic expression is 12y + 6 - 8x - m.

In this expression, terms are the individual parts that are added or subtracted. The terms in this expression are 12y, 6, -8x and -m.

The coefficients are the numbers that multiply the variables. In this expression, the coefficients are 12 and -8.

Variables are the letters that represent unknown values. In this expression, the variables are y and x.

The constants are the numbers without variables. In this expression, the constant is the number 6.

Learn more about Algebraic Expressions here:

brainly.com/question/34192827

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.A) Identify the sample size and the count.
B) Calculate the sample proportion.
C) Explain the relationship between the population proportion and the sample proportion.

Answers

Answer:

Given:

n = 1003

$p' = (462)/(1003) = 0.4606$

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: $p' = (x)/(n)$

Therefore, sample proportion =

$p' = (462)/(1003) = 0.4606$

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

$p=(x)/(n)=(462)/(1003)=0.46$

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

$\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.46*0.54)/(1003)}\n\n\n \sigma_p=√(0.00025)=0.0157$