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Ymorist [56]
3 years ago
5

Use scientific notation to estimate the number of inches in 1,225 miles.

Mathematics
1 answer:
Zolol [24]3 years ago
6 0
In scientific notation, to obtain the original whole number. Move the decimal to the left if the exponent is negative and to the right if the exponent is positive.
So 1 inch = .00001578 miles
1225 / .00001578 = 77629911.28

To obtain the answer in scientific notation, move the decimal to the left until you have a single digit whole number and the rest of teh digits are to the right of the decimal. In this case 7 places. Now show it multiplied by 10 to an exponent equal to the number of places you moved the decimal. In this case the 7th exponent.

7.763 x 10^7
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What is the absolute deviation from the mean for the following values
Doss [256]
12, 20, 16, 10, 17, 9, 23, 13
1. add them all up 
=120
divide by the number of numbers
120/8
=15
15 is the MAD
6 0
3 years ago
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
2 years ago
Which table shows exponential decay?
alexandr402 [8]

Answer:

Table 1,

1 16

2 8

3 4

4 2

Step-by-step explanation

The equation for this function can be written as

y = 16^1/x

This is exponential decay.  

7 0
3 years ago
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A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
sweet [91]

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

4 0
2 years ago
Find the angle between the given vectors to the nearest tenth of a degree.
FromTheMoon [43]
The answer is 16.0 but I’m not entirely sure
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3 years ago
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