What is the scientific notation for number of kilometers light will travel in 60 seconds?

Luke picks up a triangular prism and examines it. What is the volume of the triangular prism in cubic cm

STatiana [176]

Answer:

4608

Step-by-step explanation:

(12*16)/2

then multiply by 48

7 0

3 years ago

-8/9 - (2 1/3)<br> show all your work

Sauron [17]

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

8 0

2 years ago

Given that the points ( 16 , − 5 ) and ( − 40 , 16 ) lie on a line, what is the equation of the line? Select two answer.

djyliett [7]

Answer:

The equation of line with given points is Y = - $\frac{3}{8}$ X + 1

Step-by-step explanation:

Given as :

The points are ( 16 , - 5 ) And ( -40 , 16 )

The line equation in points form :

Y - y1 = m ( X - x1)

Where m is the slope of line

Now , m = $\frac{y2 - y1}{x2 - x1}$

Or, m = $\frac{16 +5}{-40 - 16}$

Or, m = $\frac{21}{- 56}$

SO, Y + 5 = m ( X - 16)

Put the value of slope

∴ Y + 5 = $\frac{21}{-56}$ ( X - 16)

Or, ( - 56) × ( Y + 5 ) = 21 X - ( 21 × 16 )

Or, - 56 Y - 280 = 21 X - 336

Or, - 280 + 336 = 21 X + 56 Y

Or, 56 = 21 X + 56 Y

∴ Y = - $\frac{21}{56}$ X + 1

Or, Y = - $\frac{3}{8}$ X + 1

Hence The equation of line with given points is Y = - $\frac{3}{8}$ X + 1 Answer

4 0

2 years ago

Find the period, range, and amplitude of the cosine function y= 3/2cos t/2

Rudik [331]

Answer:

$Amplitude = /\frac{3}{2}/$

$Range = [\frac{-3}{2} , \frac{3}{2}]$

$Period = \pi$

Step-by-step explanation:

Given: $y = \frac{3}{2}cos\frac{t}{2}$

Comparing the equation with the standard form of cosine function :

$y = A cos(Bx- C)$

where:

$A = Amplitude$

Formula for calculating Amplitude is given as:

$Amplitude = /A/$

The formula for calculating Period is given as :

$Period =\frac{2\pi }{B}$

$B = \frac{1}{2}$

Therefore , with the comparison

$A = /\frac{3}{2}/$

which means that:

$Range = \frac{-3}{2} , \frac{3}{2}$

$Period = \frac{2\pi }{2}$

$Period = \pi$

7 0

3 years ago

Which statements about the local maximums and minimums for the given function are true? Choose three options.

Nataliya [291]

The statements about the local maximums and minimums for the given function which are true include:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

<h3>What is Function?</h3>

This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.

According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.

Read more about Maximum and minimum point here brainly.com/question/4175575

#SPJ1

5 0

2 years ago