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Arisa [49]
4 years ago
15

Given log3^2=0.631 and log3^7=1.771, what is log3^14?

Mathematics
1 answer:
Yuki888 [10]4 years ago
5 0

Answer:

3.442

Step-by-step explanation:

This means 10^(0.631) is 3^2, and 10^(1.771) is 3^7. Square the second equation on both sides to get 10^(1.771*2)=3^14, so the answer is 1.771*2 or 3.442.

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A model rocket is launched with an initial upward velocity of 47 ms. The rocket's height (in meters) after seconds is given by t
Darina [25.2K]

Answer:

0.61 or 8.79

Step-by-step explanation:

h = 47t − 5t²

27 = 47t − 5t²

5t² − 47t + 27 = 0

Quadratic formula:

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-47) ± √((-47)² − 4(5)(27)) ] / 2(5)

t = (47 ± √1669) / 10

t ≈ 0.61 or 8.79

8 0
4 years ago
Help please, I attached the question. Is it a!? <br> 
AVprozaik [17]

Answer:

A

Step-by-step explanation:

Recall that for a quadratic equation of the form:

0=ax^2+bx+c

The number of solutions it has can be determined using its discriminant:  

\Delta = b^2-4ac

Where:

  • If the discriminant is positive, we have two real solutions.
  • If the discriminant is negative, we have no real solutions.
  • And if the discriminant is zero, we have exactly one solution.

We have the equation:

2x^2+5x-k=0

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

b^2-4ac=0

Substitute:

(5)^2-4(2)(-k)=0

Solve for <em>k</em>. Simplify:

25+8k=0

Solve:

\displaystyle k = -\frac{25}{8}

Thus, our answer is indeed A.

3 0
3 years ago
Read 2 more answers
The speed of light is about 1.86 * 10^5 miles per second. How many miles will light travel in 4,200,000 seconds?
Inessa [10]

Answer:

7.81*10^11

Step-by-step explanation:

1.86*10^5=186,000

186,000*4,200,000=7.81*10^11

5 0
3 years ago
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V125BC [204]

Answer:

Slope 3/5

Step-by-step explanation:  

y=3/5x-47/5

3 0
3 years ago
Please help me with my homework
Alex_Xolod [135]
The answer to number one is C
8 0
3 years ago
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