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Jlenok [28]
3 years ago
14

Alan is arranging 3 different stuffed toys in a row on a shelf. Create a sample space for the arrangement of a teddy bear (T), a

kitten (K), and an elephant (E).
SHOW YOUR WORK!!! No copying and pasting!!!
Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0
Teddy bear
Kitten
Elephant
elena55 [62]3 years ago
5 0

Answer:

teddy bear (Tb)

kitten (kit)

elephant (big ears)

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Write the equation of the line that passes through (-6,0) and is parallel to the line y=5x-43
AVprozaik [17]

The equation of the line that passes through (-6,0) and is parallel to the line y = 5x - 43 in slope intercept is y = 5x + 30

<em><u>Solution:</u></em>

Given that line that passes through (-6, 0) and is parallel to the line y = 5x - 43

We have to find the equation of line

Let us first find slope of line having equation y = 5x - 43

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing equation of line y = 5x - 43 with slope intercept form y = mx + c,

we get m = 5

Thus slope of given line is 5

We know that slopes of parallel lines are equal

Thus the slope of line parallel to given line is also 5

Now let us find equation of line having slope "5" and passes through (-6, 0)

Substitute m = 5 and (x, y) = (-6, 0) in eqn 1

y = mx + c

0 = 5(-6) + c

<h3>c = 30</h3>

<em><u>Thus the required equation is:</u></em>

Substitute c = 30 and m = 5 in eqn 1

y = 5x + 30

Thus the required equation of line is found

8 0
3 years ago
The surface area of a balloon varies directly as the
Sati [7]

Answer:

25π sq. units.

Step-by-step explanation:

3 0
2 years ago
(6-root 8)^2= a b root 2 where and are constants to be found.
lilavasa [31]

Answer:2.8284.

Step-by-step explanation:

7 0
3 years ago
6th grade math , help me please
Savatey [412]

Answer:

a. the ratio is 1:2

b. its equivalent to the fraction 1/2

c. there would be 10 triangles

d. therw would be 45 triangles since the number of parallelograms is double the number of triangles

3 0
3 years ago
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A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has c
stellarik [79]

Answer:

compound interest in year 2 is 12.75% than compound interest in year 1. This is because semi annual compounding yield a higher compound interest

Step-by-step explanation:

compound interest = future value - present value

The formula for calculating future value:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding  

compound value in the first year = 80,000(1.1)^1 = 88,000

compound interest = 88,000 - 80,000 = 8,000

compound interest in the second year = 88,000(1 + 0.01/2)^2 = 97,020

compound interest = 97,020 - 88,000 = 9020

Percentage change = (9020 / 8,000) - 1 = 12.75%

4 0
3 years ago
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