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2 years ago

12

If m3 is 52°, what is the measure of its vertical angle?

1 answer:

vladimir2022 [97]2 years ago

6 0

Answer:

C. 52 degrees

Step-by-step explanation:

Vertical angles share the same angle of measure.

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The position of a diving bell is −3/4 mile relative to sea level. The diving bell reached this position after dropping from sea

Natalija [7]

<span>After 1 hour, the diving bell was -1/2 mile relative to sea level. Since the rate of decent is constant, we can use two ratios to represent the depth at 2 different times. To make things easier to write, I'll use decimals to represent time and depth. -.75 / 1.5 = x / 1 Now solve for x -0.5 = x So after 1 hour, the diving bell was -1/2 mile relative to sea level.</span>

6 0

3 years ago

The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

8 0

2 years ago

What is one root of this equation?<br><br> 2x^-4x+9=0

Nutka1998 [239]

9514 1404 393

Answer:

1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

2(x² -2x +1) +7 = 0

2(x -1)² +7 = 0

Then the solutions are ...

(x -1)² = -7/2

x = 1 ±i√3.5

One solution is 1+i√3.5.

3 0

2 years ago

What is the probability of a customer buying a vegetable that is not an onion at this store?

alisha [4.7K]

Answer: 79%

That’s because it’s the middle probability it can’t be others because they are too high it too low

8 0

3 years ago

Information on a sample of 362 college students is collected. The complete dataset is available at StudentSurvey. We see that 27

pishuonlain [190]

Answer:

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

Step-by-step explanation:

We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.

We have the following proportion:

$27:x=193:100\%\\\\193x=27\cdot 100\\\\193x=2700\\\\x=\frac{2700}{193}\\\\x=13.9\%$

So we get that 13.9% of men smoke.

We have the following proportion:

$16:x=169:100\%\\\\169x=16\cdot 100\\\\169x=1600\\\\x=\frac{1600}{169}\\\\x=9.5\%$

So we get that 9.5% of women smoke.

We get: 13.9%-9.5%=4.4%.

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

6 0

3 years ago