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4 years ago

What is -9.6 repeating written as a fraction

1 answer:

5 0

$-9.6=-9\frac{6}{10}=-9\frac{6:2}{10:2}=-9\frac{3}{5}=-\frac{9\cdot5+3}{5}=-\frac{45+3}{5}=\boxed{-\frac{48}{5}}\\\\or\ other\ method\\\\-9.6=-\frac{96}{10}=-\frac{96:2}{10:2}=\boxed{-\frac{48}{5}}$

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Please help thanks so much

iren [92.7K]

25 because your going up by that much if it was decreasing it will be 1/25

8 0

3 years ago

Which Exponential equation is equivalent to the logarithmic equation below? <br> C= in 3

Bess [88]

Answer

e^c = 3

Step by step explanation

The general exponential equation is y = a^x, where "a" is the base and "x" is the exponent.

We are given c = ln 3

Here the base is "e"

e^c = e^ln 3

e^c = 3 [base "e" and "ln" get cancelled because they are inverse]

Therefore, the answer is e^c = 3

Hope you will understand the concept.

Thank you.

7 0

4 years ago

Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

3 years ago

Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes inst

FrozenT [24]

The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

<h3>What is the graph of the best estimate?</h3>

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

Learn more about the graph of the best estimate here:

brainly.com/question/14279419

#SPJ1

5 0

2 years ago

A scuba diver descended below the ocean's surface in 35-foot intervals as he examined a coral reef. He dove to a total depth of

marysya [2.9K]

(not sure what variable needs to be used so I just put x)
35x=140
x=4

6 0

3 years ago