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Firlakuza [10]
3 years ago
5

How do you write 200 trillion in scientific notation?

Mathematics
1 answer:
ratelena [41]3 years ago
6 0
You can use either of these, depending on your teacher.
2.e+14
2.0*10^14
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The trapezoid below has been enlarged by a scale of 1.5. What is the area of the enlarged trapezoid?
lilavasa [31]

Answer:

New area by scale of 1.5 = 81 in²

Step-by-step explanation:

Given:

Current area  = 36 in²

Find:

New area by scale of 1.5

Computation:

New area by scale of 1.5 = Current area x (scale factor)²

New area by scale of 1.5 = 36 x (1.5)²

New area by scale of 1.5 = 36 x (2.25)

New area by scale of 1.5 = 81 in²

3 0
3 years ago
Read 2 more answers
Please help me, I'm suffering from all of these parallel lines ;9
Anarel [89]

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

6 0
3 years ago
At lunch 7 friends share 5 apples equally what fraction of apples does each friend get?
tester [92]

Answer:


Step-by-step explanation:


5 0
3 years ago
When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a
irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0
3 years ago
Complete the point-slope equation of the line through (2,3) and (7,4) <br> y-4=
Anna71 [15]

Answer:

y - 4 = \frac{1}{5}(x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (7, 4)

m = \frac{4-3}{7-2} = \frac{1}{5}

Use either of the 2 points for (a, b)

Using (7, 4), then

y - 4 = \frac{1}{5}(x - 7) ← in point- slope form

4 0
3 years ago
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