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klio [65]
3 years ago
5

How do you write the number 7 × 10-2 in standard form? a. 7 b. 0.0007 c. 700 d. 0.07

Mathematics
1 answer:
zzz [600]3 years ago
4 0
D. 0.07. the negative exponent which is two indicates the number of zeros in the standard form. and the 7 indicates the first number in the standard form
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What is 560 miles in 7 hours ?
Natali [406]

Answer:

It would be 80 miles in 1 hour

Step-by-step explanation:

You divide 560/7  

7 goes into 56, 8 times and into 0, 0 times.

560/7=80

8 0
3 years ago
What are the magnitude and direction of u+v+w ?
nevsk [136]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

<h3>How to determine the magnitude and the direction of a resultant</h3>

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

<h3>Resultant</h3>

\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)     (1)

<h3>Magnitude</h3>

\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}   (2)

<h3>Direction</h3>

\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}   (3)

Where \theta is resultant angle, measured in degrees.

If we know that \|\vec u\| = 90, \theta_{u} = 40^{\circ}, \|\vec v\| = 60, \theta_{v} = 20^{\circ}, \|\vec w\| = 40 and \theta_{w} = 30^{\circ}, then the resultant, its magnitude and its direction:

<h3>Resultant</h3>

\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})

\vec r = (-54.824, 18.531)

<h3>Magnitude</h3>

\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}

\|\vec r\| \approx 57.871

<h3>Direction</h3>

\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)

\theta \approx 198.676^{\circ}

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. \blacksquare

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/13322477

3 0
2 years ago
Which is the slope-intercept form of the equation for the line that passes through the
miskamm [114]

Answer:

y=4x-3

Step-by-step explanation:

Find the slope for your equation by calculating the change in y over change in x ∆y/∆x or (y2-y1)/(x2-x1)

13-5=8

4-2=2

8/2=4

We now need to use one of these coordinates to finish the equation y=4x+b

5=4(2)+b

5=8+b

b=-3

Now we rewrite our equation in slope int form as y=4x-3

You can check your work by using the other coordinate (4, 13) and see the equation balances.

4 0
3 years ago
I need help on this it would be appreciated!
LuckyWell [14K]

Answer:

13

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If the diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters, what is the approximate volume
Ostrovityanka [42]
We know that
[volume of the roll of pennies]=pi*r²*h
r=19.05/2-----> 9.525 mm
h=1.52 mm
[volume of the roll of pennies]=pi*(9.525)²*1.52---> 433.02 mm³----> 433 mm³

the answer is
433 mm³
5 0
3 years ago
Read 2 more answers
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