Is this number written in scientific notation 4.8•100^7

1 answer:

3 0

No this number is not written in scientific notation
In scientific notation, it'll look like
4.8 * 10 ^14

In scientific notation it's 10 ^ n
NOT 100^n

Hope this helps

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A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300

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Let p and m represent the numbers of miles in the plains and mountains, respectively.
.. p + m = 300 . . . . . . . the whole trip was 300 miles

time = distance/speed, so the trip time can be written as
.. p/90 + m/37.5 = 3 48/60
.. 5p + 12m = 1710 . . . . . . . . . . multiply by 450 to put in standard form

You can solve these two equations by any of several means. The variable p can be eliminated by subtracting 5 times the first from the second.
.. (5p +12m) -5(p +m) = 1710 -5*300
.. 7m = 210
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30 miles of the trip was through the mountains.

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Ella used 37.2 pounds of apples to make applesauce . She used one -tenth as a many pounds of sugar as pounds of apples . How man

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A right triangle ABC is shown below:

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The coordinate plane below represents a town. Points A through F are farms in the town. graph of coordinate plane. Point A is at

gayaneshka [121]

I made my own graph using the given points. Pls. see attachment.

Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.

I used paint program to graph the points based on the given data.
I used a ruler as guide as I draw my line containing both points D and F and extended the line outward.
The yellow lines above represents the shaded portion of the graph.

y = mx + b

b is the y-intercept. It is the value of y when x is 0. In this case, b = 3.5
m is the slope. It is the change in y divided by the change in x.
point D (2,4) ; point F (-2,3)
change in y: 4 - 3 = 1
change in x: 2 - (-2) = 4
m = 1/4

y = 1/4 x + 3.5

Since we are looking for a system of inequality and the portion shaded is in the upper part of the line, the value of y will be greater than or equal to.

y ≥ 1/4x + 3.5

Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A.

To check the solution given above. We will use the x values of points D and F and check whether its y values are equal to or greater than the solution.

y ≥ 1/4x + 3.5

Point D (2,4) : x = 2 : y ≥ 1/4 * 2 + 3.5 → 0.5 + 3.5 → 4
Point F (-2.3): x = -2 ; y ≥ 1/4 * -2 + 3.5 → -0.5 + 3.5 → 3

Part C: Chickens can only be raised in the area defined by y > 2x − 2. Explain how you can identify farms in which chickens can be raised.

y > 2x - 2

We will get the coordinates of each point and see if its x value will generate the desired value of y.

A(2,-3) ; x = 2 : y > 2(2) - 2 → 4 - 2 → 2 . DID NOT PASS. -3 is lesser than 2.
B(-3,-4) ; x = -3 : y > 2(-3) - 2 → -6 - 2 → -8. PASSED. -4 is greater than -8.
C(-4,2) ; x = -4 : y > 2(-4) - 2 → -8 - 2 → -10. PASSED. 2 is greater than -10.
D(2,4) ; x = 2 : y > 2(2) - 2 → 4 - 2 → 2. PASSED. 4 is greater than 2.
E(3,1) ; x = 3 : y > 2(3) - 2 → 6 - 2 → 4. DID NOT PASS. 1 is lesser than 4.
F(-2,3) ; x = -2 ; y > 2(-2) - 2 → -4 - 2 → -6. PASSED. 3 is greater than -6.

Among the farms, points B,C, D, and F can raise chickens based on the given system of linear inequality.

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4 years ago