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Stella [2.4K]
3 years ago
6

(9m)4 without exponents

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

36m, 9 x 4 = 36

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On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?
torisob [31]

Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

1\ cm=\dfrac{15}{9}\ \miles

So, 15 cm is equal to,

15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles

So, 15 cm on the map is equal to 25 miles.

4 0
3 years ago
The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,
yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

M = \frac{61+65}{2}\\ M=63

The first quartile is the average between the 3rd and 4th terms:

Q_1 = \frac{42+48}{2}\\ Q_1=45

The third quartile is the average between the 9th and 10th terms:

Q_3 = \frac{76+78}{2}\\ Q_3=77

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

8 0
3 years ago
Prove the following identity true. Show work.
yulyashka [42]

Answer:

The  Pythagorean identity states that

\sin^2 t + \cos^2 t = 1

Using that we can rewrite the left denominator as:

1 - \sin^2 t

Which can be factored as

(1 - \sin t)(1+ \sin t)

The numerator we can expand as:

(1 - \sin t)(1 - \sin t)

On the right hand side, let's multply numerator and denominator with (1 - sin t):

The total formula then becomes:

\dfrac{(1-\sin t)(1-\sin t)}{(1 - \sin t)(1 + \sin t)} = \dfrac{(1-\sin t)(1 - \sin t)}{(1+\sin t)(1 - \sin t)}

There you go... left and right are equal.

3 0
3 years ago
Read 2 more answers
Which expressions are equivalent?
nasty-shy [4]
The first set of expressions bc 3x is equivalent to 3x and -7y is equivalent to -7y
6 0
3 years ago
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds
Mila [183]

Answer:

The range includes all numbers from 5 to 12.5.

Step-by-step explanation:

The range is along y- axis and the domain is along x- axis.

Range is given in heights and domain is given in time seconds.

It can depicted that for t= 0 secs the ball is at 5 feet and so on .

Therefore the range is given by numbers from 5 to 12.5.

Whereas the domain is given by numbers 0 t0 8.5 seconds

3 0
3 years ago
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