Answer:
Not possible to find out area
Step-by-step explanation:
Given is an exponential function as
and we have to find the area to the left of e above x axis under the curve.
Using integrals, we find area =
substitute limits
When we substitute -infinity we get e^infty which is again infinity
Hence finding out area is not possible.
The integral of area diverges.
For the area of the deck to be doubled, he should increase each dimension by 3.
<h3>How to find the dimension increase to double the area?</h3>
The deck is 4 feet by 21 feet.
She wants to increase each dimension by equal lengths so that its area is doubled.
Therefore,
initial area = 4 × 21 = 84 ft²
Hence,
The increase by equal length
width = x + 4
length = x + 21
area = 2(84) = 168 ft²
Therefore,
(x + 4)(x + 21) = 168
x² + 21x + 4x + 84 = 168
x² + 25x + 84 = 168
x² + 25x + 84 - 168 = 0
x² + 25x - 84 = 0
(x + 28) • (x - 3) = 0
x = -28 or 3
It can only be positive.
Therefore, she should increase each dimension by 3.
learn more on area here: brainly.com/question/23640960
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Answer:
here it's 124°F so if we subtract 8 in 124 it will be 124-8= 114°F
now the range = height - lowest = 124°- 114°F = 8° F
Answer:
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Step-by-step explanation:
78
1 | 78
2 | 39
3 | 26
6 | 13
So the factors are 1, 2, 3, 6, 13, 26, 39, and 78
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hope it helps
The numbers are: 36 and 11 .
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Explanation:
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Let us represent the TWO (2) numbers with the variables;
"x" and "y" .
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x + y = 47 .
y − x = 25.
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Since: " y − x = 25 " ;
Solve for "y" in terms of "x" ;
y − x = 25 ;
Add "x" to each side of the equation:
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y − x + x = 25 + x ;
to get:
y = 25 + x .
Now, since:
x + y = 47 ;
Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :
x + (25 + x) = 47 ;
x + 25 + x + 47 ;
2x + 25 = 47 ;
Subtract "25" from each side of the equation:
2x + 25 − 25 = 47 − 25 ;
2x = 22 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; and to solve for "x" ;
2x / 2 = 22 / 2 ;
x = 11 ;
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x + y = 47<span> ;
</span>Plug in "11" for "x" into the equation ; to solve for "y" ;
11 + y = 47 ;
Subtract "11" from EACH SIDE of the equation;
to isolate "y" on one side of the equation; and to solve for "y" ;
11 + y − 11 = 47 − 11 ;
y = 36 .
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So: x = 11 , y = 36 ;
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Let us check our work:
y − x = 25 ;
36 − 11 =? 25 ? Yes!
x + y = 47 ;
36 + 11 =? 47 ? Yes!
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The numbers are: 36 and 11 .
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