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dybincka [34]
1 year ago
8

The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds i

s represented by the equation h(t) = -16t2 - 3t + 55. Find the time it takes the float to reach the swimmer.​
Mathematics
1 answer:
MissTica1 year ago
4 0

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

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Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

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Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive
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Answer:

4. A) \displaystyle x + 4 ≥ 7

3. A) \displaystyle x + 650 ≥ 1500; x ≥ 850

2. D) \displaystyle 0,95(9) + 1,25b ≤ 25

1. C) \displaystyle 8x + 45 < 12x + 5

Step-by-step explanation:

4. Two families combined have <em>at</em><em> </em><em>least</em><em> </em>3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords <em>at</em><em> </em><em>least</em><em> </em>$1500<em> </em>mean <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>$1500.

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I am joyous to assist you anytime.

3 0
2 years ago
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n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
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Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

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2 years ago
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Answer:

<em>The only value that is in the domains of both functions is 0</em>

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Step-by-step explanation:

As the original function is

f(x) = \sqrt{x}

Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

  • The domain of f(x) = \sqrt{x} will be [0, ∞)
  • The range of f(x) = \sqrt{x} will be [0, ∞)

Please check the attached <em>figure a</em> for visualizing the graph of f(x) = \sqrt{x}.

<u><em>Impact of double transformation:</em></u>

  • When the function f(x) = \sqrt{x} is reflected across x-axis, the function becomes y = -\sqrt{x} after first transformation
  • After the second transformation across y-axis, the function y = -\sqrt{x} becomes  g(x) = -\sqrt{-x}

For

g(x) = -\sqrt{-x}

-x must be equal to or greater than zero for g(x) = -\sqrt{-x} to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

  • The domain of g(x) = -\sqrt{-x} will be (∞, 0]
  • The range of g(x) = -\sqrt{-x} will be (∞, 0]

Please check the attached figure a for visualizing the graph of g(x) = -\sqrt{-x}.

So, from the above discussion, we can say that

  • 0 is the only that is in the domain of both function.
  • The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

<em>Keywords: graph, function</em>

<em>Learn more about graph and function from brainly.com/question/11152594</em>

<em>#learnwithBrainly</em>

8 0
1 year ago
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