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devlian [24]
2 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]2 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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HELPP! ASAP PLS!! Find the surface area of the composite solid. Leave your answer in exact terms.
Andreyy89

Answer:

Step-by-step explanation:

First find the surface area of the clyinder and find the area circles and subtract

Then find the surface area of a cone, remove the circle area and double it.

Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

251.32741 - 50.2 - 50.2

Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734

113.09734 - 50.2 - 50.2

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3 0
1 year ago
BRAINLIEST TO CORRECT
ella [17]

9514 1404 393

Answer:

  60

Step-by-step explanation:

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6 0
2 years ago
Convert 18% to a fraction in lowest term
Lemur [1.5K]

Answer:

\frac{9}{50}

Step-by-step explanation:

This is the answer because:

1) 185 equals to \frac{18}{100} because 18% is equal to 0.18 which is \frac{18}{100}

2) \frac{18}{100}  to it's lowest terms is \frac{9}{50}

3) It's lowest terms is  \frac{9}{50} because 18/2 is 9 and 100/2 is 50

4)  \frac{9}{50} can't be simplified any further because 9 and 50 don't have any common factors

Hope this helps! :D

3 0
3 years ago
One tank is filling at a rate of 5 gallon per 7 hour. A second tank is 8 10
seraphim [82]

Answer:

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Step-by-step explanation:

8 0
2 years ago
What is the answer need it
denis-greek [22]

Answer:

\frac{7}{10} |

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{2}{3} * \frac{10}{10}) + (\frac{7}{10} * \frac{3}{3}) = ?

Complete the multiplication and the equation becomes

\frac{20}{30} + \frac{21}{30}

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{20+21}{30} = \frac{41}{30}

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{41+-20}{30} = \frac{21}{30}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

\frac{21/3}{30/3} =\frac{7}{10}

Therefore:

\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}|

8 0
2 years ago
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