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BaLLatris [955]
3 years ago
7

The relationship between the amount of data downloaded d, in megabytes, and the time t, in seconds, after the download started i

s shown.
Which of the following statements are true? Select all that apply.

A. The data points on the scatter plot suggest a linear association.
B. The data points on the scatter plot suggest a quadratic association.
C. The data points on the scatter plot suggest a positive association.
D. The data points on the scatter plot suggest a negative association.
E. For every second that passes, about 1 additional megabyte is downloaded.
F. For every second that passes, about 0.5 additional megabyte is downloaded.
G. The function that represents the line of best fit is approximately d(t) = 0.51t - 1.64.
H. The function that represents the line of best fit is approximately d(t) = 1.04t + 0.51.

Mathematics
2 answers:
Alborosie3 years ago
8 0

Answer:A, C, F, H

Step-by-step explanation:

svetoff [14.1K]3 years ago
6 0

Answer: A, C, F, there’s 4 but I only know 3

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URGENT PLEASE HELP 98 POINTS Find the direction angle of vector v to the nearest tenth of a degree.
zlopas [31]

Answer:

 The direction angle of vector v is equal to  9.5\°

Step-by-step explanation:

Let

A(-5,0),B(7,2)

The vector v is given by

v=B-A

v=(7, 2) - (-5, 0)

v=((7 - (- 5)), (2-0))

v=(12, 2)

 Remember that

The direction angle of the vector is equal to

 tan (\theta) =\frac{y}{x}

substitute the values

 tan (\theta) =\frac{2}{12}

 \theta=arctan(\frac{2}{12})=9.5\°

5 0
3 years ago
Read 2 more answers
How to solve <br> 215x = 99.3
tester [92]

Answer:

x = 0.462

Step-by-step explanation:

215x = 99.3

x = 99.3/215

x = 0.462

5 0
3 years ago
You randomly choose one of the tiles out of a bag with the numbers 5,6,7,8,9,10,20 written on the tiles. Without replacing the f
borishaifa [10]
Is it a 7.1% chance?
6 0
3 years ago
One serving of chad's cereal is 1 1/4 ounces. How many servins are in 15 1/3 ounces box?
IrinaK [193]

12

change the mixed numbers to improper fractions before dividing

1 \frac{1}{4} = \frac{5}{4} and 15 \frac{1}{3} = \frac{46}{3}

divide contents of box by a serving

\frac{46}{3} ÷ \frac{5}{4}

change ÷ to × and turn the second fraction upside down

= \frac{46}{3} × \frac{4}{5}

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5 0
3 years ago
Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
4 years ago
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