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2 years ago

If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?

Mathematics

1 answer:

Andrei [34K]2 years ago

8 0

<h3>Answer: 2p + 3q</h3>

Work Shown:

log(200) = log(2^3*5^2)

log(200) = log(2^3) + log(5^2)

log(200) = 3*log(2) + 2*log(5)

log(200) = 3*q + 2*p

log(200) = 2p + 3q

The log rules I used were

log(A*B) = log(A)+log(B)

log(A^B) = B*log(A)

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It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked

tresset_1 [31]

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

$\frac{1}{tb}$ = $\frac{1}{t1}$ + $\frac{1}{t2}$ , where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

$\frac{1}{tb}$ = $\frac{1}{5}$ + $\frac{1}{10}$

$\frac{1}{tb}$ = $\frac{4}{20}$ + $\frac{2}{20}$

$\frac{1}{tb}$ = $\frac{6}{20}$

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

5 0

3 years ago

Vector B has x, y, and z components of 3, 7.2,

Temka [501]

Answer:

$\approx 9.0\:\mathrm{units}$

Step-by-step explanation:

The magnitude of 3D vector $\vec{v}$ can be given by the following:

$| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}$

Plugging in given values, we have:

$| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}$ .

6 0

2 years ago

Find the proper answer

Temka [501]

I think the answer is C

8 0

2 years ago

What is the answer to 7(2y)?<br> Show your work on how to find the answer

kotykmax [81]

It would be 14y.... if you combine like terms you would get the following:
7(2y)
7•2
14y

5 0

2 years ago

Read 2 more answers

What's the lowest point of the graph of 10y + 30 = x?

inna [77]

The lowest must be ,,,,,when x=0
so
10y+30=0
10y=-30
y=-3
So your answer is (0, -3)

3 0

3 years ago