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3 years ago

11

A quantity with an initial value of 9700 grows continuously at a rate of 0.65% per hour. What is the value of the quantity after

2.75 days, to the nearest hundredth?

1 answer:

Llana [10]3 years ago

7 0

Answer:

.65% / hr = .0065 / hr

2.75 days * 24 hrs / day = 66 hrs

66 hrs * .0065 / hr = .429

So our amount will become

A = A0 ( 1 + .429) = 9700 * 1.429 = 13860

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Factor the binomial.<br> 9x^4-64

kap26 [50]

Answer:

The answer is the first one

Step-by-step explanation:

This is a difference of squares, meaning the first term is a perfect square, and the second term would be a perfect square if it were not negative. To factor it, find the square root of both the first an second term, the square root of 9x^4 is 3x^2 and the square root of 64 is 8. Put both of those numbers into 2 separate sets of parenthesis and one set will have + in between and the other will have -. It will look like the first option

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3 years ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

Jlenok [28]

Answer:

Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.

Step-by-step explanation:

In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.

Let us consider a random variable, X that follows a normal distribution, N (<em>µ</em>, <em>σ</em>²).

Then <em>Z</em> is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,

$Z=\frac{x-\mu}{\sigma}\sim N(0, 1)$

This, <em>z</em>-score is known as the standardized score.

It is provided that the distribution of finishing time for men (say, <em>X</em>) was approximately normal with mean <em>µ</em> = 242 minutes and standard deviation <em>σ = </em>29 minutes.

The finishing time for Clay was <em>x</em> = 289 minutes.

Compute Clay's <em>z</em>-score as follows:

$Z=\frac{x-\mu}{\sigma}$

$=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68$

Thus, Clay's standardized score is 1.68.

That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.

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3 years ago

The price of an item has risen to $343 today. Yesterday it was $140. Find the percentage increase.

il63 [147K]

Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

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3 years ago

PLEASE HELP ME!!! Which inequality best represents that ice cream at -5 degrees celsius is cooler than 4 degrees celsius? A. -4

otez555 [7]

Answer:

i think but I am not sure so maybe ask somebody else but I think it is A.

Step-by-step explanation:

I just think it is

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3 years ago

Every autumn, the North American Monarch

Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

6 0

3 years ago