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Zarrin [17]
3 years ago
15

Evaluate the expression for p = 3. 5p =

Mathematics
1 answer:
Goryan [66]3 years ago
4 0
5p = 15

5 multiplied by 3 equals 15
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The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
Doctor's order: Infuse 50mg of Amphotericin B in 250ml NS over 4 hr 15 min; Drop factor : 12gtt/ml. What flow rate ( ml/hr) will
svlad2 [7]

Answer:

59 ml/hr

Step-by-step explanation:

Amount of solution = 250 ml

Flow rate = 250 ÷ 4.25 hrs = 58.82352941176 ml/hr

since answer is required in ml/hr and not gtt/hr,

Therefore answer = 59 ml/hr to the nearest flow rate.

5 0
3 years ago
Read 2 more answers
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean
In-s [12.5K]

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 19000, \sigma = \sqrt{4000000} = 2000

The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{20179 - 19000}{2000}

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

6 0
2 years ago
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? If you leave this mone
dolphi86 [110]

Answer:

I only know the first question, If you leave that money for 1 year it would equal $480 basically,  $300 x 1.6 = $480.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
how many liters is 70% alcohol solution must be added to 50 L of 40% alcohol solution to produce a 50% alcohol solution
Anettt [7]

Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

 

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

 

then 0.7X + 50L.4 ÷ X + 50L = 0.5

 

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

 

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

 

which is a final concentration of 50%

3 0
3 years ago
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