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3 years ago

Let logp/n=5 and logm/n=9

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

we know that

log (P/N) = log P - log N

log P - log N = 5----------------> equation 1

log (M/N) = log M - log N

log M - log N = 9 ------------------> equation 2

If you subtract equation 2 from equation 1,

you have

log M - log P = 4

That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P

the answer is

the relationship between P and M is

M = 10000P

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Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq

iren [92.7K]

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

x³ + 3x² - 7x - 21 =
x²(x + 3) - 7(x + 3) =
(x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0

2 years ago

Can someone please help me on this question

Grace [21]

Answer: ? = 72

Step-by-step explanation:

We will set up a proportion to solve.

$\displaystyle \frac{?}{56} =\frac{45}{35}$

Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

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2 years ago

Two researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is left-

soldi70 [24.7K]

Answer:

Jaime's. Interval not centered around the point estimate.

Step-by-step explanation:

When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.

For Jaime's interval

Lower bound = 0.078

Upper Bound = 0.193

$Central = \frac{0.078+0.193}{2} =0.1355$

For Mariya's interval

Lower bound = 0.051

Upper Bound = 0.189

$Central = \frac{0.051+0.189}{2} =0.12$

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.

4 0

3 years ago

10.6666666667 as a fraction

Katena32 [7]

Answer:

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3 years ago

Read 2 more answers

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph. At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the sa

NNADVOKAT [17]

Answer: They meet after 1 hour 42 minutes.

Step-by-step explanation:

Since we have given that

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph.

Let the time taken by Dana be 't'.

Distance traveled by Dana would be 55t.

At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the same route.

It means after 2 hours Lance leave for LA.

So, time taken by Lance be 't-2'.

Distance traveled by Lance would be 45(t-2)

Total distance = 260 miles

According to question, it becomes,

$55t+45(t-2)=260\\\\55t+45t-90=260\\\\100t=260-90\\\\100t=170\\\\t=1.7\ hours=1\dfrac{7}{10}=1\ hour\ and\ \dfrac{7\times 60}{10}\ minutes=1\ hour\ 42\ minutes$

Hence, they meet after 1 hour 42 minutes.

4 0

3 years ago