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Eduardwww [97]
3 years ago
11

Find the derivative of f(x) = -12x2 + 9x at x = 6. a) -112.5 b)-135 c)90 d)108

Mathematics
1 answer:
topjm [15]3 years ago
7 0

hi

f(x) = -12x²+9x

So

f'(x) =  -24x +9

if  x = 6   then  f'(6) = -24 (6) +9 = -135

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What is the volume of a right circular cylinder with a radius of 3in and a height of 10in
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Answer:

282.6 inches cubed

Step-by-step explanation:

The volume of the cylinder with radius 3 in and height 10 in is

V=\pi (3^2)(10)= \pi (9)(10)= 90\pi = 90(3.14) = 282.6 in^3


7 0
3 years ago
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
frez [133]

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Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known

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3 0
3 years ago
A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove
Anna11 [10]

<u>Answer:</u>

The amount lost over the 3 years s 2567.25£  

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

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Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$

= $18000 \times\left(\frac{95}{100}\right)^{3}$

 = 15432.75£ which is the value of the car after 3 years

Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.  

6 0
3 years ago
41,000 rounded to the nearest 10,000
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40,000 is the asnwer
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3 years ago
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Step-by-step explanation:

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2 years ago
Read 2 more answers
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