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GenaCL600 [577]
3 years ago
9

I just want to make sure: A baseball is traveling (+20 m/s) and is hit by a bat. It leaves the bat traveling (-30 m/s). What is

the change in the velocity? Remember that direction is what makes velocity different than speed.
Is it:

50 m/s 30 m/s 20 m/s or 10 m/s
Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

50m/s

Step-by-step explanation:

We assum the direction the baseball is travelling to the bat is the positive direction at 20 m/s and is hit in the opposite at a faster speed. The change in velocity is the final velocity minus the initial velocity:

=20-(-30)=50

The change in velocity is 50m/s

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Which shows a function that is decreasing<br>over its entire graph? Working on it now need ASAP ​
PtichkaEL [24]

One thing everyone always forgets is we don't usually see the <em>entire</em> graph.  Once out of the frame, these functions can do anything they want.

From what we can see, only the bottom right one is always decreasing.

Answer: bottom right

By the way, the top right graph (a vertical line) isn't a function.

7 0
3 years ago
What is the nth term rule of the quadratic sequence below?
Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136

As the first differences are not the same, calculate the <u>second differences:</u>

14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is:  3n²

Compare 3n² with the given sequence:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18

As the differences are the same, we need to add 5n as the second operation:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2  +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2  &-2  & -2  \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0
1 year ago
Kelly, Matt, and Bo are sharing 2 pizzas equally. How much pizza does each person get?
kvasek [131]

Answer:

Hi! The answer is 1.5

Step-by-step explanation:

Kelly + Matt + Bo = 3

3, People / 2, Pizzas

3/2 = 1.5

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4 0
3 years ago
QUESTION 27<br>Find the value of p in the equation 2p over 7=7<br><br><br>​
ASHA 777 [7]

Answer:

24.5

Step-by-step explanation:

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cross multiply

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p = 24.9

5 0
3 years ago
Again help, i don’t understand this at all
Semenov [28]

Answer:

<em>The difference quotient of f is 8. </em><em>Option C</em>

Explanation:

<u>Difference Quotient</u>

Given a function f(x), the difference quotient is defined as

\displaystyle d=\frac{f(h+h)-f(x)}{h},\ h\neq 0

The function provided in the question is

f(x)=8x+1

Find f(x+h) by substituting x by x+h:

f(x+h)=8(x+h)+1

f(x+h)=8x+8h+1

Now compute:

\displaystyle d=\frac{8x+8h+1-(8x+1)}{h}

Operating:

\displaystyle d=\frac{8x+8h+1-8x-1}{h}

Simplifying:

\displaystyle d=\frac{8h}{h}

d=8

A.  Incorrect.

This choice is different from the answer.

B. Incorrect.

This choice is different from the answer.

C. Is correct

The difference quotient is 8 as explained above.

D. Incorrect.

This choice is different from the answer.

4 0
3 years ago
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