MATHEMATICS COLLEGE

In Exercise, solve the equation.
ex– 1 = 9

Answers

Answer 1

Answer:

Answer:

x = ln 10

Step-by-step explanation:

You meant e^x - 1 = 9. Let's isolate e^x, by adding 1 to both sides. We get:

e^x = 10

Now make use of the property ln a = b <=> a = e^b

Then e^x = 10 becomes

x = ln 10

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Suppose 8 quarts of a solution that is 45% anti-freeze is mixed with 12 quarts of a solution that is 33% anti-freeze. How many quarts of antifreeze are in the resulting measures? What percentage of the resulting mixture is anti-freeze?

Answers

Answer:

7.56 quarts of antifreeze in the resulting mixture, and 37.8% of the resulting mixture is antifreeze.

Step-by-step explanation:

8 * .45= 3.6 quarts antifreeze

12 * .33= 3.96 quarts antifreeze

3.6 + 3.96= 7.56 quarts of antifreeze in the resulting mixture

7.56 quarts/ 20 quarts (12 + 8) * 100= 37.8%

Final answer:

In the combined solution, there are 7.56 quarts of anti-freeze, which equals 37.8% of the total solution.

Explanation:

To solve this problem, we first need to calculate how many quarts of anti-freeze are in each solution, then add them together.

First, we have 8 quarts of a solution that is 45% anti-freeze. To find how many quarts of the solution is anti-freeze, we multiply the total amount by the percentage: 8 quarts * 0.45 = 3.6 quarts anti-freeze.

Next, we have 12 quarts of a solution that is 33% anti-freeze. Doing the same calculation as before, 12 quarts * 0.33 = 3.96 quarts anti-freeze.

Now, to find the total quarts of anti-freeze in the combined solution, we simply add the two amounts together: 3.6 quarts + 3.96 quarts = 7.56 quarts.

The total amount of solution is 8 quarts (from the first solution) + 12 quarts (from the second) = 20 quarts.

To find the percent of anti-freeze in the final solution, we divide the total amount of anti-freeze by the total amount of solution: (7.56 quarts / 20 quarts) * 100 = 37.8%. Therefore, the resulting mixture is 37.8% anti-freeze.

Learn more about Percent Composition here:

brainly.com/question/32450781

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Someone plz explain I’m so confused anymore lol

Answers

The answer is x=26/3

$x+(1)/(3)=9$

$x=(26)/(3)$

simplify to get

$8(2)/(3)$

I didn’t study and it’s 2 am pls help

Answers

Answer:

7. g(3) = 42

8. f(6) = - 124

9. g(15) = 3

10. h(-3) = 1/8

Step-by-step explanation:

7. g(x) = 4x² + 6

g(3) = 4×3² + 6

= 4×9 + 6

= 36 + 6

= 42

8. f(x) = - 3x² - 4x + 8

f(6) = - 3×6² - 4×6 + 8

= - 3×36 - 24 + 8

= - 108 -16

= - 124

9. g(x) = √(x - 6)

g(15) = √(15 - 6)

= √9

= 3

10. h(x) = 2ˣ

h(-3) = 2⁻³

= 1/2³

= 1/8

Find the y intercept of the following equation y = 7/2 x - 10/7

A. 7/2
B. -7/2
C. 10/7
D. -10/7

Answers

Answer : D. -10/7
Steps:
y-intercept is y value when x=0.

y = 7/2 (0) - 10/7 =-10/7

3is (4,-5) a solution of the graphed inequality?
Choose 1 answer:
Yes
0
No

Answers

Yesssssssssssssssssssssss

Which best describes vibration?the distance traveled per unit in time
the action of moving back and forth quickly and steadily
the distance between one compression and the compression next to it
the action of moving through a material or substance