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Natali5045456 [20]
1 year ago
14

Fully simplify the following expressions1. (2⁴ x 5⁵)²2. (2²+5)²3. 2-²+3 ÷ 2-¹​

Mathematics
1 answer:
Sladkaya [172]1 year ago
8 0

Answer:

above is the solution to the question

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(question 4 only plz)
Hatshy [7]
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks

a) P(white) = \frac{2}{6} = \frac{1}{3}
    P(red) = \frac{1}{6}
    P(purple) = \frac{3}{6} =  \frac{1}{2}

b)Not white block:
   1 - \frac{1}{3}   OR   \frac{1}{2} + \frac{1}{6}
    \frac{2}{3}                 \frac{2}{3}
Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.

c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12

P(white)=\frac{4}{12} which is still \frac{1}{3}

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12

P(purple)=\frac{5}{12}
(im not quite sure if my explanation here helps you though)

e) 1 more of white and purple, 5 more of red
  white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)

P(red)=\frac{6}{12} = \frac{1}{2}
  


5 0
2 years ago
Consider the following graph.
OLga [1]

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

<h3>How to find the function which was used to make graph?</h3>

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

Learn more about finding the graphed function here:

brainly.com/question/27330212

#SPJ1

3 0
1 year ago
Someone help me! Im struggling
Assoli18 [71]
The answer would be D

multiply -2 and (-4m-8) to get 8m+16
then subtract -2m to get 6m+16
4 0
2 years ago
Read 2 more answers
In how many ways can a
Tomtit [17]

Answer:

The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.

This is a Combination problem.  

Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "<em>r</em>" from a collection or a group of distinct objects which we can name "<em>n</em>". The rules here are that replacements are not allowed and sample elements may be chosen in any order.

Step-by-step explanation:

Step I

The formula is given as

C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}

n (objects) = 14

r (sample) = 3

Step 2 - Insert Figures

C (14, 3) = (\frac{14}{3}) = \frac{14!}{(3!(14-3)!)}

= \frac{87178291200}{(6 X 39916800)}

= \frac{87178291200}{239500800}

= 364

Step 3

The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.

Cheers!

6 0
3 years ago
What is the length of the line?
klemol [59]

Answer:

It might be 7

Step-by-step explanation:

count the squares the blue line is in and you have your answer

5 0
2 years ago
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