Please help me out with thisbeen stuck on this for like a day

Please Help Me Out With Thisbeen Stuck On This For Like A Day

Answers

Answer 1

Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.

[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]

well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out

[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]

Please Help Me Out With Thisbeen Stuck On This For Like A Day

Related Questions

A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?

Answers

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

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360

Step-by-step explanation:

6!/(6-4)!


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Step-by-step explanation:

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[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex]  is option "B"

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A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph.

According to the question

Points on graph for equation :

[tex]f(x) = 3x^{2} -4.[/tex]  

Now,

Table of points on graph

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0                 -4

1                   -1

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Hence, The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex]  is option "B" .

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Answer:

Step-by-step explanation:

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The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.

Answers

Answer:

The unknown value is being subtracted from 702 is 650

Step-by-step explanation:

Long division setup showing an incomplete calculation

13 is in the divisor

3302 is in the dividend

2 hundreds and 5 tens is written in the quotient

2600 is subtracted from 3302 to give 702

An unknown value represented by a box is being subtracted from 702

We need to find this number

Lets write the steps above

∵ The dividend = 3302

∵ The divisor = 13

- 2 hundreds means 200 and 5 tens means 50

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∵ 13 × x = 13x

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∴ From the steps above the missing number subtracted from

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

see explanation

Step-by-step explanation:

(1)

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(2)

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The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?

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