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Arlecino [84]
3 years ago
11

1x10 to the fifth power over 4x10 to the negative faith power given on scientific notation

Mathematics
1 answer:
MissTica3 years ago
8 0

Answer:

2.5*10^{8}

Step-by-step explanation:

<u><em>The correct question is</em></u>

1x10 to the fifth power over 4x10 to the negative fourth power given on scientific notation

we know that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

we have

\frac{1*10^{5}}{4*10^{-4}}=(\frac{1}{4})*10^{5+4} =0.25*10^{9}= 2.5*10^{8}

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Steven is driving to Texas pulling a 12 ft. boat. If he drives 150 miles in
ziro4ka [17]

Answer: 975

Step-by-step explanation:

Because you multiply 6 times 150 and then you add 75 because that is half of 150 and you only need one more mile

6 0
3 years ago
Of the 14 professional sports team in Tennessee, 9 are baseball teams. About what percent of the professional sports teams in Te
Westkost [7]

Answer:

64.3%

Step-by-step explanation:

Number of professional sports team in Tennessee is equal to 14

9 are baseball teams

Percentage of baseball teams

= no. of baseball teams/ no. of sports team x 100%

That’s 9/14 x 100%

0.643 x 100%

64.3%

The percentage of baseball team in Tennessee professional sports team is 64.3%

6 0
3 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
Read 2 more answers
7392 rounded to nearest hundred
Pie
7392 rounded to the nearest hundred is 7400
6 0
3 years ago
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A bike path is 12.5 miles.Dominic is 70% of the way to the end.How far is dominic on the path?
adelina 88 [10]

She is 8.75 miles on the path.

6 0
2 years ago
Read 2 more answers
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