A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
Answer:
There are 120 different drinks that you can order.
Step-by-step explanation:
You have 10 options of soda for which you can choose.
For each options, there are 12 different cup sizes.
12*10 = 120
So there are 120 different drinks that you can order.
Answer:
D
Step-by-step explanation:
<em>The statements are shown below:</em>
<em>A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.
</em>
<em>B) She used the wrong number as a repeated factor and should have evaluated -(8x8).
</em>
<em>C) She misinterpreted the exponential form and should have multiplied -2 and 8.
</em>
<em>D) She made a sign error when multiplying and should have had 256 as a final answer.</em>
<em />
<u>Solution:</u>
<u />
The problem to simplify is:
Haley's steps are shown below:
Generally,
is actually "a" multiplied "b" times.
So, Haley wrote "-2" eight times multiplied together. That is okay.
Now,
We are dealing with negative numbers.
- When negative numbers are multiplied "odd" number of times, the answer is negative.
- When negative numbers are multiplied "even" number of times, the answer is positive.
Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.
Haley's error is:
Answer choice D
Answer:
mATHeMaTics is Very FUN
Step-by-step explanation:
When coding the word OUCH using the Bacon's code alphabet with binary numbers we have:
O=01110
U=10100
C=00010
H=00111
Following the rule of lowercase and uppercase letters in the dummy message we will have:
O U C H
0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1
m A T H e M a T i c s i s V e r y F U N
Answer:
60/11
Step-by-step explanation:
tan A = 60/11
