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lord [1]
2 years ago
7

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(

x) = -x^2+10x+7.5 where x is the number of feet away from the sprinkler head (along the ground) the spray is.
The irrigation system is positioned____ feet above the ground to start.
The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.
The spray reaches all the way to the ground at about_____ feet away​
Mathematics
2 answers:
djyliett [7]2 years ago
5 0

Answer:

7.5

32.5

5

maximum

10.7

Step-by-step explanation:

jasenka [17]2 years ago
3 0

9514 1404 393

Answer:

  • 7.5 ft
  • 32.5 ft, 5 ft
  • 10.7 ft

Step-by-step explanation:

a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.

The irrigation system is positioned <u> 7.5 </u> feet above the ground

__

b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...

  h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet

The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.

__

c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.

The spray reaches the ground at about <u> 10.7 </u> feet away.

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Someone can explain to me how I have to do this? please
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r=8

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If all four sides of a quadrilateral measure the same length, and one corner angle measures 90°, circle that shape the quadrilat
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Its B for sure!!!!
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a pharmacist believes the proportion of prescriptions that are antibiotics is decreasing. the pharmacist would like to test the
Lunna [17]

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

What is the null hypothesis?

Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis. The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population. The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.

"The null hypothesis is the proposition under investigation in a statistical significance test. The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.H₀ is a common way to represent it.

The alternative hypothesis is the assertion that is being compared against the null hypothesis. Two symbols are H₁ and Hₐ.

Calculation:

Here H₀:  P=0.52

  H₁: P<0.52

Test statistic, Z = -1.89

critical value = -1.65

Decision rule: If zZ< -1.65 we reject H₀ and vice-versa

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

Learn more about the null hypothesis here:

brainly.com/question/13776238

#SPJ4

Disclaimer: The question was given incorrectly on the portal. Here is the correct question

Question:

6 0
1 year ago
Which represents a function?
VLD [36.1K]

Answer:

\boxed{  \text{Option \: D}}

Step-by-step explanation:

All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.

  • If the vertical line intersects the graph of a relation at one point , the relation is a function .
  • If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.

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

Let's check all of the options :

☐ Option A :

  • The vertical line cuts the graph at two points. So , the graph does not represent a function.

☐ Option B

  • No! This is also not a function as the vertical line cuts the graph at two points.

☐ Option C

  • Nah! This too can't be called a function as the vertical line cuts the graph at two points.

☑ Option D

  • Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.

Yayy!! We found our answer. It's ' Option D '.

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0
2 years ago
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