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3 years ago

Can someone give me a step by step answer on how they figured this out so I understand it PLEASE???

Mathematics

1 answer:

Dimas [21]3 years ago

6 0

Answer:

25 mph

Step-by-step explanation:

The slope of the line gives the rate of change (speed) of the train

From the graph note that after 6 hours the distance travelled is 150 miles

Thus slope = $\frac{150}{6}$ = 25

The train is travelling at 25 mph

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What is something you might see a scientist doing?

dusya [7]

Answer:

Scientist's do just general things anyone else would do to solve a problem.

Step-by-step explanation:

Scientists use their senses to observe

Scientists measure things, including distances, and weights.

Scientists also communicate their findings with other scientists and with the public.

If you have any questions feel free to ask in the comments.

4 0

3 years ago

Read 2 more answers

50% of what number is 307

balandron [24]

Answer:

614

Step-by-step explanation:

Let the number be x.

50% × x = 307

0.5x = 307

x = 307/0.5

x = 614

50% of 614 is 307.

8 0

3 years ago

Read 2 more answers

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0

2 years ago

To express the polynomial d^2+d^3-d+3 in standard form, which term should be written first?

ozzi

When you want to write a polynomial, you should write the term with the highest degree first.
Here, it should go like this: d^3 + d^2 - d + 3
This means that the term which should be written first is the cubic term.

6 0

3 years ago

Read 2 more answers

Mikhael is a technical writer. He is paid $2.95 a page. A normal job has 600 pages and requires about 225 words per page. Mikhae

Sedaia [141]

Answer:

$1770 for 25 hours

Step-by-step explanation:

600 × 225 = 135000

135000 ÷ 90 = 1500 min

1500min=25 hours

$2.95×600= $1770

7 0

2 years ago