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FrozenT [24]
3 years ago
14

The ratio of red to green marbles in a jar is 3 to

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
30 of the 48 marbles are green and the other 18 are red.
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6 0
2 years ago
What is the exponent in the expression seven sixth
Veseljchak [2.6K]

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Step-by-step explanation:

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6 0
3 years ago
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  • The superhero will be able to leap over the building
  • The support should be placed 48 feet from the edge
  • Joe will not be able to stand up in the igloo
  • Joe will be able to lay down in the igloo

<h3>Question 13: How to determine if the superhero will make it to the building</h3>

The function is given as:

f(x) = -16x^2 + 200x

Differentiate the function

f'(x) = -32x + 200

Set to 0

-32x + 200 =0

So, we have:

-32x =-200

Solve for x

x =6.25

Calculate f(6.25)

f(x) = -16x^2 + 200x

f(6.25) = -16 * 6.25^2 + 200 * 6.25

f(6.25) = 625

The above means that, the superhero reached a height of 625 feet.

625 is greater than 612.

Hence, the superhero will be able to leap over the building

<h3>Question 14: How to determine the distance from the edge</h3>

The function is given as:

f(x) = -0.03x^2 + 2.4x

Differentiate

f'(x) = -0.06x + 2.4

Set to 0

-0.06x + 2.4 = 0

Subtract 2.4 from both sides

-0.06x = -2.4

Solve for x

x = 40

Calculate f(40)

f(x) = -0.03x^2 + 2.4x

f(40) = -0.03*40^2 + 2.4*40

f(40) = 48

This means that, the support should be placed 48 feet from the edge

<h3>Question 15: Will Joe be able to stand up?</h3>

In (14), the maximum height is 48 feet.

Joe's height (70 feet) is greater than 48.

This means that, Joe will not be able to stand up in the igloo

<h3>Question 15: Will Joe be able to lay down?</h3>

In (14), the midpoint is 40 feet.

This means that the length of the igloo is 80 feet (i.e. 2 * 40 feet)

Joe's height (70 feet) is less than 80.

This means that, Joe will be able to lay down in the igloo

Read more about quadratic functions at:

brainly.com/question/8952707

7 0
2 years ago
Find the value of x.<br><br><br><br> 24<br><br><br> 12<br><br><br> 35<br><br><br> 117
Vadim26 [7]

Answer:

x = 8/17

Step-by-step explanation:

2/x+3 = 9/4 +5

2/x + 3 -3 = 9/4 +5 -3

2/x = 9/4+2

2/x = (9 + 2 * 4)/4

2/x = 17/4

4 * 2/x = 17

8/x = 17  

x * 8/x = 17 * x

8 = 17 x

8 0
3 years ago
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