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Ann [662]
1 year ago
13

Simplify the expression (2^-4)^-2

Mathematics
1 answer:
Vedmedyk [2.9K]1 year ago
6 0

Answer:

256

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

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Find the geometric mean. 4a and a; 4a and 2a.
pishuonlain [190]
<span>Solve for "x":
a/x = x/4a
---
x^2 = 4a^2
x = 2a</span>
5 0
3 years ago
Express 4 4/9 as an improper fraction. Example please.
miskamm [114]
Simple...

you have: 4 \frac{4}{9}

To make this into an improper fraction-->>

1.) Multiply whole number by denominator

2.)Add the number you got plus the numerator

3.) Use the original denominator to finish your improper fraction

Example: 4\frac{4}{9}

4*9=36

36+4=40

\frac{40}{9}

Thus, your answer.
3 0
3 years ago
What is the interquartille range of the given data set
IrinaK [193]

Answer: B. 9

Step-by-step explanation:

First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. <em>The median is 18.5.</em>

Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. <em>The lower quartile is 14.</em>

To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. <em>The upper quartile is 23.</em>

To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. <em>The interquartile range is 9.</em>

3 0
2 years ago
HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s​
Rom4ik [11]

Given:

An athlete who makes 4\dfrac{3}{4} laps in 3 mins 45 seconds on a 400m field.

To find:

The speed of the athlete in m/s.

Solution:

We know that,

Distance covered in 1 lap = 400 m

Distance covered in 4\dfrac{3}{4} laps = 4\dfrac{3}{4}\times 400 m

                                               = \dfrac{19}{4}\times 400 m

                                               = 1900 m

We know that,

1 minute = 60 seconds

3 minutes = 180 seconds

3 minutes 45 second = 180 + 45 seconds

                                   = 225 second

The speed of the athlete is:

Speed=\dfrac{Distance}{Time}

Speed=\dfrac{1900}{225}

Speed\approx 8.44

Therefore, the speed of the athlete is about 8.44 m/s.

7 0
2 years ago
Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
iren [92.7K]

Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

=9.5\times 8=76\ fl.\ oz.

<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

3 0
3 years ago
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