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professor190 [17]
2 years ago
8

Find the difference and express the answer in scientific notation. 0.00541 - (9.7 x 10-2) A) -9.159 x 10-2 B) -4.29 x 10-2 C) 4.

44 x 10-1 D) 4.44 x 10-3
Mathematics
1 answer:
OleMash [197]2 years ago
6 0
It is A.-9.159×10-2
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Alla [95]

Answer:

$226.57

Step-by-step explanation:

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3 years ago
Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th
devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

\hat{y}=3.0979+2.7633x

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

\hat{y}=3.0979+2.7633(22)

\hat{y}=63.8905

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

8 0
3 years ago
How much of a radioactive kind of thorium will be left after 14,680 years if you start with
babymother [125]

Answer:

8978 grams

Step-by-step explanation:

The equation to find the half-life is:

N(t)= N_{0}e^{-kt}

N(t) = amount after the time <em>t</em>

N_{0} = initial amount of substance

t = time

It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.

N(t)= N_{0}e^{-\frac{ln(\frac{1}{2}) }{t_{h} } t} or more simply N(t)= N_{0}(\frac{1}{2})^{\frac{1}{t_{h} } }

t_{h} = time of the half-life

We know that N_{0} = 35,912, t = 14,680, and t_{h}=7,340

Plug these into the equation:

N(t) = 35912(\frac{1}{2})^{\frac{14680}{7340} }

Using a calculator we get:

N(t) = 8978

Therefore, after 14,680 years 8,978 grams of thorium will be left.

Hope this helps!! Ask questions if you need!!

8 0
2 years ago
Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, Brett, set ou
xxTIMURxx [149]

Answer:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone.  Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30.  Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

4 0
3 years ago
A line has the points (3,7) (4,9) (5,11) (6,13). If the slope is divided by 2, what is the new slope?
lorasvet [3.4K]

Answer:

The new slope is 1

Step-by-step explanation:

The slope of any two points can be found by:

slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Finding slope of (3,7) (4,9)

slope=\frac{9-7}{4-3}\\slope=\frac{2}{1}\\slope=2

Finding slope of (4,9) (5,11)

slope=\frac{11-9}{5-4}\\slope=\frac{2}{1}\\slope=2

So, the slope of the line is 2

Now if slope is divided by 2, new slope will be:

slope = \frac{2}{2}\\slope=1

So, The new slope is 1

Keywords: slope between points of a line

Learn more about slope between points of a line at:

  • brainly.com/question/6436086
  • brainly.com/question/12954015
  • brainly.com/question/1979240

#learnwithBrainly

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2 years ago
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