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a_sh-v [17]
2 years ago
8

A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. this

can be represented by the function h(t) = −16t2 144t 160. what is the maximum height of the particle? 128 feet 224 feet 272 feet 484 feet
Business
1 answer:
galina1969 [7]2 years ago
3 0

A function assigns values. The maximum height of the particle is 484 ft.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function of the height of the particle is h(t) = −16t²+144t+160.

Now, to find the maximum of the function we need to differentiate the function, and then equate it with zero to find the value of t at which the height will be maximum.

h(t)=-16t^2+144t+160\\\\\dfrac{dh}{dt}=-16(2t)+144\\\\\dfrac{dh}{dt}=-32t+144

Now, equate the function with 0, we will get,

0=-32t+144\\t = 4.5

Further, plug in the value of t as 4.5 to get the maximum height.

h(t)=-16t^2+144t+160\\\\h(4.5)=-16(4.5^2)+144(4.5)+160\\\\h(4.5)= 484\rm\ ft

Thus, the maximum height of the particle is 484 ft.

Learn more about Function:

brainly.com/question/5245372

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Crane Company has the following sales data: August September October November December Cash Sales $4000 $5000 $6000 $7000 $16000
umka21 [38]

Answer:

<em>Collections for September is $ 57,100</em>

Explanation:

Computation of cash receipts for September

Collections from cash sales of September                                       $   5,000

Collections from credit sales of August - 57 % of $ 50,000           $  28,500

Collections from credit sales of September 40 % of $ 59,001       <u>$  23,600 </u>  

Total collections for September                                                        $  57,100

5 0
3 years ago
Q 4.13: salaries and wages expense should have been accrued on december 31st, but the entry was not made. the result of this ove
Shkiper50 [21]
The answer to the given situation is "the result of this oversight is that the liabilities are understated".
We can define understated as if someone say to you that your account is understated, it means that either the amount is incorrect or the amount is too small or it is less than the actual or true amount. In the given case the entry was not made due the understatement of liabilities.
6 0
3 years ago
Shelli's Ski Super has sales of $670, net fixed assets of $210, total assets of $305, and current assets of $25. What is the tot
Troyanec [42]

Answer:

2.20

Explanation:

The formula to compute the total assets turnover ratio is shown below:

Total asset turnover = (Sales revenue ÷ Total assets)

                                   = ($670 ÷ $305)

                                  = 2.20

We simply divide the sales revenue by the total assets, so that the total asset turnover ratio can be computed

All other information which is given is not relevant. Hence, ignored it

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4 years ago
Which country has an absolute advantage for producing books
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The correct answer is Singapore. For Plato!

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3 years ago
A manager's operation had sales this period of $89,775. last period sales were $85,500. what was the manager's percentage sales
alexandr402 [8]

A manager's operation had sales this period of $89,775. last period sales were $85,500. So the manager's percentage sales increase for this period when compared to last period was 5% .

The percentage increase is the measure of the percentage change. The percentage increase is defined as the ratio of increased value to the original value and then multiplied by 100. Here the increased value can be calculated by taking the difference between the final value and the initial value. The formula to calculate increase is given by -

Percentage Increase = [(Final value – Original value) × 100] / Original value %

In this case,  original value is $85500 and the final value is $89775, then the percentage increase is:

Percentage Increase = [(89775-85500) ×100]/85500

= 427500/85500

= 5%

So, the percentage increase  will be 5% .

To learn more about percentage increase here

brainly.com/question/23040788

#SPJ4

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