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3 years ago

Evaluate this question

Mathematics

1 answer:

cestrela7 [59]3 years ago

3 0

Answer:

Step-by-step explanation:

$\bigg( \frac{16}{49} \bigg)^{ - \frac{3}{2} } \\ \\ = \bigg( \frac{49}{16} \bigg)^{ \frac{3}{2} } \\ \\ = \bigg( \frac{ {7}^{2} }{ {4}^{2} } \bigg)^{ \frac{3}{2} } \\ \\ = \bigg( \frac{ {7}}{ {4} } \bigg)^{ \frac{2 \times 3}{2} } \\ \\ = \bigg( \frac{ {7}}{ {4} } \bigg)^{ 3} \\ \\ = \frac{343}{64} \\$

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using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (-11,30) and (-26,-2)

REY [17]

Answer:

Midpoint is $(\frac{-37 }{2}, 14)$

Step-by-step explanation:

Midpoint = $(\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2})$

= $(\frac{-11 -26}{2}, \frac{30 - 2 }{2})$

= $(\frac{-37 }{2}, \frac{28 }{2})$

= $(\frac{-37 }{2}, 14)$

Midpoint is (-37/2, 14)

3 0

3 years ago

Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1/15 of his suitcase. If he has two suitcases, how much r

Gala2k [10]

Answer:

<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of souvenirs bought by Thomas = 6

Space that each souvenir takes of Thomas suitcase = 1/15

Number of Thomas suitcases = 2

2. How much room is left for his own belongings in his suitcases?

Let's find out how much space the souvenirs take:

Number of souvenirs * Space that each souvenir takes

6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)

The souvenirs take 2/5 of one suitcase.

Now, we can calculate the room that is left for Thomas' belongings.

2 Suitcases - 2/5 for the souvenirs

2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5

<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>

6 0

3 years ago

Please help with math question! This question is stressing me out (View Image)

TEA [102]

To find the volume of this one we need to break it down
now i see half of a cylinder and rectangle:)
but first lets find the volume of the rectangle...
In order to find the Volume of a rectangle we need to use this formula...
Length x width x height
in this case...
length = 10in
width = 6 in
height = 8in
lets solve:)
10 x 6 x 8 = 480
or we write it like this
480in³

now time to find the volume of the half cylinder:)
But first lets remember the volume for a cylinder
Volume = $\pi r^{2} h$
So lets find our measurements
$\pi$ = 3.14
r² = 5² or 25
h = 6
so lets plug in our values just like our formula said:)
3.14 x 25 x 6
now lets easily solve
<span>3.14 x 25 x 6 = 471
</span>now since we found an entire cylinder and we only want half of a cylinder lets divide our answer in half
471 ÷ 2 = 235.5
so we write it like this 235.5units³
But we have to add both of our multiples together so lets do that
Volume of rectangle = <span>480in³
</span>volume of half sphere = 235.5units³
480 + 235.5 = 715.5
answer = 715.5units³
I hope this helped and everyone learned something new
anyways don't forget to
MARK ME BRAINLIEST! :D

3 0

3 years ago

Plz help Events A and B are independent. Let event A be the event that a person chooses and buys a certain pear from the grocery

kompoz [17]

Hi all

Answer:

I had this question on my MAP testing just today, and I answered with

C. Choosing a certain book does not affect the choice of a pear,

D. Choosing a certain pear does not affect the choice of a book.

These are the answers I think are correct.

7 0

3 years ago

Which is a graph of the equation y = 2x - 4

AURORKA [14]

<h2>The third graph</h2><h3 /><h3>The graph has a slope of 2</h3><h3>and a y-intercept of -4</h3>

6 0

3 years ago

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