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kondor19780726 [428]
2 years ago
6

Use natural logarithms to solve the equation. Round to the nearest thousandth.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
6 0

Answer:

x=\frac{ln(\frac{19}{7}) }{2}

Step-by-step explanation:

7*e^2x + 10 = 29

Subtract 10 to both side.

7*e^2x = 19

Divide 7 to both side.

e^2x = 19/7

Inverse e with ln.

ln(19/7) = 2x

Divide 2 to both side.

x=\frac{ln(\frac{19}{7}) }{2}

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5x – 24 &gt; 26 <br> what is the solution to the inequality?
ozzi

Answer:

x > 10

Step-by-step explanation:

5x - 24 > 26

Add 24 on both sides.

5x -24 + 24 > 26 + 24

5x > 50

Divide by 5 on both sides.

x > 50 ÷ 5

Find x.

x > 10

6 0
3 years ago
What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent
elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

           The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

  Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for Tan\theta= \frac{Opposite}{adjacent}

Next, putting the value in the formula.

⇒ Tan 60° = \frac{12}{adjacent}

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= \frac{12}{\sqrt{3} } = 6.92 ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0
3 years ago
Fun question: Which animal do you think is the smartest animal in the world. Whoever has the most detailed response gets a Brain
Harlamova29_29 [7]

Answer

I would say Chimpanzees

Step-by-step

Not only are they our closest ancestors, they are one of the few animals that actually use tools to get food. They're pretty interesting creatures

4 0
3 years ago
Read 2 more answers
3. Joe's mother had of an 1/3apple pie left. Joe cut the remaining pie into 4 equal pieces and ate one piece. What fraction of t
marshall27 [118]

Answer:

Step-by-step explanation:

1/3 *1/4= 1/12

8 0
3 years ago
:) i need help with this, work not needed
nata0808 [166]

Answer:

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Step-by-step explanation:

The graphs goes up but eventually goes back down

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