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myrzilka [38]
3 years ago
6

Solve for x. 2000=500e^4x

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

A. x = (ln(4))/4

Step-by-step explanation:

2000 = 500e⁴ˣ

(2000)/500 = (500e⁴ˣ)/500

4 = e⁴ˣ

ln(4) = ln(e⁴ˣ)

ln(4) = 4x

(ln(4))/4 = (4x)/4

(ln(4))/4 = x

x = (ln(4))/4

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Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
never [62]

Answer:

15 km/h

Step-by-step explanation:

Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?

15 minutes * (1 hour)/(60 minutes) = 0.25 hour

speed = distance/time

distance = speed * time

distance = 12 km/h * 0.25 hour = 3 km

He cycles a distance of 3 km.

12 minutes * (1 hour)/(60 minutes) = 0.2 hour

speed = distance/time

speed = 3 km/(0.2 hour)

speed = 15 km/h

5 0
4 years ago
What does 13(9−6m)+14(12m−8) =
Nadya [2.5K]

m= 70/27 simplified m= 2 16/27

7 0
3 years ago
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A circle is centered at (−4, −6) and has a radius of 3. Which of the following is the equation for this circle?
frosja888 [35]
If that is a square to the parenthesis then it would be D. the formula is (x-h)^2+(y-k)^2=r^2 
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3 years ago
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The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there a
EleoNora [17]

Answer: There are 180 grape juice in the store

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4

Total number of containers = 405

total ratio = 4+5 =9

The number of containers that are orange juice  = 5/9 x 405

=5 x 45=225

The number of containers that are grape juice will now be = 4/9 x 405

=4 x 45= 180.

6 0
3 years ago
What’s the solution? 15 points!! <br><br> у — 15 = 3x<br> —2х + 5y = — 3
MissTica

Answer:

Answer as a decimal: \large\boxed{x = -4.59}

Answer as a fraction: \large\boxed{x=-78/17}

Step-by-step explanation:

y - 15 = 3x

-2x + 5y = -3

Solve the first equation first to substitute into second equation

y - 15 = 3x

Add 15 to both sides of the equation

y = 3x + 15

Substitute this value of y into second equation

-2x + 5y = -3

2x + 5(3x + 15) = -3

Multiply

2x + 15x + 75 = -3

Add the x's

17x + 75 = -3

Subtract 75 from both sides of the equation

17x = -78

Divide both sides of the equation by 17

Answer as a decimal: \large\boxed{x = -4.59}

Answer as a fraction: \large\boxed{x=-78/17}

Hope this helps :)

3 0
3 years ago
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