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Bond [772]
3 years ago
5

The fastest speed a table tennis ball has been hit about 13.07 times as fast as the speed for the fastest swimming. What is the

speed for the table tennis ball
Mathematics
1 answer:
Effectus [21]3 years ago
6 0

v = speed of fastest swimming = 8.6 kilometer/hour

V = fastest speed of a tennis ball = ?

It is given in the question that

fastest speed of a tennis ball = (13.07) speed of fastest swimming

V = (13.07) v

inserting the values

V = (13.07) (8.6 kilometer/hour)

V = (13.07 x (8.6) kilometer/hour)

V = 112.4 kilometer/hour


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In the third degree polynomial function f(x) =x^3 + 4x, why are 2i and -2i zeros?
IgorC [24]

Answer:

We just need to evaluate and get f(2i)=0, f(-2i)=0.

Step-by-step explanation:

Since i^2=-1, then i^3=i^2i=-i, and we can apply this when we evaluate f(x) =x^3 + 4x for 2i and -2i.

First we have:

f(2i) =(2i)^3 + 4(2i)=2^3i^3+8i=8(-i)+8i=0

Which shows that 2i is a zero of f(x).

Then we have:

f(-2i) =(-2i)^3 + 4(-2i)=(-2)^3i^3-8i=-8(-i)-8i=8i-8i=0

Which shows that -2i is a zero of f(x).

4 0
3 years ago
Which properties justify the steps taken to solve the system?
Nutka1998 [239]

Answer:

X=-1

Y=1

Step-by-step explanation:

6x-12y

-18

) 6x + 4y

-

-2

Subtract the two equations

6x - 12y - (6x + 4y) = -18 - (-2)

Determine the sign

6x- 12y - 6x- 4y

=-18 + 2

Simplify

-12y

- Ay

=-18 + 2

Solve the equation

Substitute

6×+4

-2

Solve the equation

X=

6 0
2 years ago
An object that weighs 5 pounds on earth will weigh 2 pounds on mercury. The Statue of Liberty weighs 2,250 pounds. What would it
murzikaleks [220]

2/5=x/2250

2250x2=4500

4500/5=900 pounds

7 0
3 years ago
Read 2 more answers
Which sequence is arithmetic?
MissTica

Answer:

11, 14, 17, 20

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Consider 2, 6, 18, 54

6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic

Consider 3, 6, 12, 24

6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic

Consider 11, 14, 17, 20

14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic

Consider 7, 11, 13, 18

11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic

The arithmetic sequence is 11, 14, 17, 20

3 0
3 years ago
If 2y=x³ + 2x², find dy/dx when x=2.
scZoUnD [109]

Answer:

10

Step-by-step explanation:

\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}

<u>Given equation</u>:

2y=x^3+2x^2

Isolate y by dividing both sides by 2:

\implies y=\dfrac{1}{2}x^3+x^2

Differentiate with respect to x:

\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}

\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x

Finally, substitute x = 2 into the differentiated equation:

\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}

Learn more about differentiation here:

brainly.com/question/27958412

brainly.com/question/26488862

5 0
2 years ago
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