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devlian [24]
3 years ago
11

What is the solution to the equation below? Round your answer to two decimal places. 4•e^x=17

Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

\large\boxed{x\approx1.45}

Step-by-step explanation:

4e^x=17\qquad\text{divide both sides by 4}\\\\e^x=\dfrac{17}{4}\qquad \ln\ \text{of both sides}\\\\\ln e^x=\ln\dfrac{17}{4}\qquad\text{use}\ \log_aa^n=n\\\\x=\ln\dfrac{17}{4}\\\\x\approx1.45

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Answer:

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Step-by-step explanation:

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3 years ago
On Friday, 80 children and 48 adults went to a movie. What was the ratio of children to adults? A 5 to 3 B 10 to 4 C 6 to 3 D 2
Setler79 [48]
A .  Because one you make the ratio 80:48 you simplify (divide until you can divide anymore ).
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Step-by-step explanation:

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Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth
Alika [10]

Answer:

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Step-by-step explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

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We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

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framing in equation form we get;

10x =10+5x

Now Subtracting both side by '5x' using Subtraction property we get;

10-5x=10+5x-5x\\\\5x=10

Now Dividing both side by 5 we get;

\frac{5x}{5}=\frac{10}{5}\\\\x=2

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.

7 0
3 years ago
Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.
ivolga24 [154]

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

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x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0             x + 2 = 0

x = 5                   x = -2

so it will be : 5,6,and 7     or -2,-1, and 0

6 0
3 years ago
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