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Feliz [49]
2 years ago
5

At the shorter waterfall, water falls uninterrupted for 1552 feet before entering the river below. The height h above the river

in feet of water going over the edge of the waterfall is modeled by h\left(t\right)=-16t^2+1552h(t)=−16t^2+1552, where is the time in seconds after the initial fall. Estimate the time it takes for the water to reach the river. Round your answer to the nearest tenth.
Mathematics
1 answer:
qwelly [4]2 years ago
8 0

Answer:

<h3>9.9s</h3>

Step-by-step explanation:

First note that the river is on the ground level. The height of the river at the ground level is 0

Given the the height h above the river in feet of water going over the edge of the waterfall is modeled by h(t)=-16t^2+1552

When h = 0

0 = -16t^2+1552

16t^2 = 1552

t² = 1552/16

t² = 97

t = √97

<em>t = 9.9secs</em>

<em>Hence the time it takes is 9.9secs to the nearest tenth</em>

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Write a number that has four digits with the same number in all places,such as 4,444. Circle the digits with the greatest value.
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9999

first 3 nines have the greater value but the first one has the highest and the least one is the last nine.

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3 years ago
I’ll give brainliest to the person who answers this right. Please help!!
Charra [1.4K]

Answer:

3.43

Step-by-step explanation:

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5 0
2 years ago
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A clothing store offers customers a holiday sale of 20% off the price of x items. A customer then has an additional 15% off coup
aleksandr82 [10.1K]

Finding the equivalent multiplier, it is found that the function for the final price is:

P(x) = 0.68x.

-------------------------------------------

  • There is a holiday sale of 20% off the price of x, thus 0.8x is paid, as 1 - 0.2 = 0.8.
  • Additionally, there is a coupon of 15% off, thus, 0.85 of 0.8x is paid.
  • The equivalent multiplier is:

0.85(0.8) = 0.68

  • Thus, the function for the final price is:

P(x) = 0.68x

A similar problem is given at brainly.com/question/16999193

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2 years ago
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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

8 0
2 years ago
What percentage of babies born in the United States are classified as having a low birthweight (&lt;2500g)? explain how you got
lawyer [7]

Answer:

2.28% of babies born in the United States having a low birth weight.

Step-by-step explanation:

<u>The complete question is</u>: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.

Let X = <u><em>birth weights of newborn babies</em></u>

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 3,500 g

            \sigma = standard deviation = 500 g

So, X ~ N(\mu=3500, \sigma^{2} = 500)

Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)

         

   P(X < 2500 mg) = P( \frac{X-\mu}{\sigma} < \frac{2500-3500}{500} ) = P(Z < -2) = 1 - P(Z \leq 2)

                                                                 = 1 - 0.97725 = 0.02275 or 2.28%

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

4 0
3 years ago
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