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Phantasy [73]
2 years ago
6

An apple falls from a tree that is 21 feet tall. What is the height

Mathematics
1 answer:
Alexeev081 [22]2 years ago
4 0

Answer:

Use the vertical motion model, h = -16t^2 + 21 , t=1 second

h = -16(1) ^2 + 21

h = 5 feet

Step-by-step explanation:

Just plug in the time with t to get your answer in height

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A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ 
n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ 
n=271

This means 271 students should be included in the sample
5 0
2 years ago
Which graph represents the function f(x) = (x – 5)2 + 3?
goblinko [34]
The function
f(x)=(x-5)^2+3
describes a parabola with vertex = (5, 3).

The graph of the function is attached.

4 0
2 years ago
Read 2 more answers
What property was used on 14k+2(3k+5)-5=10 to obtain 14k+6k+10-5=10
ohaa [14]
The difference between

i) <span>14k+2(3k+5)-5=10  and

ii)  </span><span>14k+6k+10-5=10

is the equality </span>2(3k+5)=6k+10


The property used here, can be described for any numbers a, b and c as:

a \cdot (b+c)=a \cdot b +a \cdot c


This is called the DISTRIBUTIVE PROPERTY 


Answer: DISTRIBUTIVE PROPERTY 
3 0
2 years ago
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to d
Troyanec [42]

Answer:

b_2 =  -2.5

Step-by-step explanation:

Given

\frac{1}{2}(4.5 + b_2) * 6 = 21

Required

Determine the value of T

\frac{1}{2}(4.5 + b_2) * 6 = 21

Multiply both sides by 2

2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2

(4.5 + b_2) * 6 = 42

Divide through by 6

4.5 + b_2 = 42/6``

4.5 + b_2 = 7

b_2 =  7 - 4.5

b_2 =  -2.5

6 0
2 years ago
The sport of korfball is played by teams of eight players. Each team has fourmen and four women on it. Halliday High School has
Alex Ar [27]

Answer:

There are 11550 possible selections

Step-by-step explanation:

Given

Men = 7

Women = 11

Required

How many ways can 4 men and 4 women be selected

The keyword in the question is SELECTION and it means COMBINATION;

So, number of selection is:

Number = Men * Women

Number = ^7C_4 * ^{11}C_4

This gives

Number = \frac{7!}{(7-4)!4!} * \frac{11!}{(11-4)!4!}

Number = \frac{7!}{3!4!} * \frac{11!}{7!4!}

Number = \frac{7 * 6 * 5 * 4!}{3!4!} * \frac{11 * 10 * 9 * 8 * 7!}{7!4!}

Number = \frac{7 * 6 * 5}{3!} * \frac{11 * 10 * 9 * 8}{4!}

Number = \frac{7 * 6 * 5}{3 * 2 * 1} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}

Number = \frac{7 * 6 * 5}{6} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}

Number = 7 * 5 * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}

Number = 7 * 5 * \frac{7920}{24}

Number = 7 * 5 * 330

Number = 11550

Hence;

<em>There are 11550 possible selections</em>

6 0
2 years ago
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