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Rainbow [258]
2 years ago
15

The height of a parallelogram is 3 times the base the base measures 4.5 cm what is the area of the parallelogram

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
8 0

The answer is 13.5cm,hope this help!

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Hi need help early giving out 98 points<br> Thank you : )
Setler [38]

Answer:

1)f(x)=2(3)^x

2)f(x)=10(2)^x

3)Graph attached

4) Amber will have 192 and 3145728 shares on day 3rd and 10th respectively

Ben will have 54 and 118,098 shares on day 3rd and 10th respectively

Carter will have 80 and 10240 shares on day 3rd and 10th respectively

5)the graph has moved 45 unit up

6)Amber's posts will travel fastest

7)Amber' function

Step-by-step explanation:

1)

Ben shares posts with two friends and then they share with 3 more everyday, so her the growth rate is 3

f(x)=2(3)^x

x=number of days

2)

Carter shares posts with ten friends and then they share with 2 more everyday, so her the growth rate is 2

f(x)=10(2)^x

x=number of days

3)

Graph attached contain graph's of following

Ben's f(x)=2(3)^x in red

Carter's f(x)=10(2)^x in blue

Amber's f(x)=3(4)^x in green

4)

Finding how many shares each student will get on day 3 and day 10:

For Amber:

substituting x=3,

f(x)=3(4)^3

     = 192

Now substituting x=10,

f(x)= 3(4)^10

     = 3145728

Amber will have 192 and 3145728 shares on day 3rd and 10th respectively

For Ben:

substituting x=3,

f(x)=2(3)^3

     = 54

Now substituting x=10,

f(x)= 2(3)^10

     = 118,098

Ben will have 54 and 118,098 shares on day 3rd and 10th respectively

For Carter:

substituting x=3,

f(x)=10(2)^3

     = 80

Now substituting x=10,

f(x)= 10(2)^10

     = 10240

Carter will have 80 and 10240 shares on day 3rd and 10th respectively

5)

If Amber's graph changes to

f'(x)=3(4)^x +45

then as per translation, it means the graph has moved 45 unit up from original position as shown in attached graph

original f(x)=3(4)^x in green

translated f'(x)=3(4)^x +45 in blue

6)

In exponential function the base of function effects the growth and in given cases of Amber, Ben and Carter; base of Amber's function is greatest i.e 4 other two have 2 and 3.

So Amber's posts will travel fastest

7) A post with fewer friends initially and then more shares like Amber. Because at the end of the day the growth rate is important and as explain above the number of shares i.e base of exponential function is important.

Hence for more shares and likes Amber' function is the best choice !

3 0
3 years ago
A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?
Kitty [74]

They can not, there are only 2 sides and they probably flipped it different ways. They got 'lucky'.

8 0
3 years ago
Read 2 more answers
Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




4 0
3 years ago
The Dallas Cowboys scored 42 points in last weekend's game. What integer represents the opposite of their score?
maks197457 [2]
The answer is to the question is -42
6 0
3 years ago
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Is 5,000 cm greater than 5 m
ANTONII [103]
That is false 5,000cm is bigger you got this way to go

3 0
3 years ago
Read 2 more answers
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