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2 years ago

HALPPPPP :(((((((((((

Mathematics

1 answer:

SVEN [57.7K]2 years ago

3 0

Answer: 5

Explanation: 12(3) - 3(1/3)/4(3)-5

= 36-1/12-5

= 35/7

= 5

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Given f(x) = x⁴- 3x³ + 9x²- 17x + 42 and g(x) = -x² - x - 6, where g(x) cant equal 0, find (f/g)(x)

12345 [234]

Step-by-step explanation:

De qué forma how is your night give me a picture

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3 years ago

PLEASE HELP

Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

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3 years ago

A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i

Over [174]

Answer:

a) $\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

b) $C(5) = 100 e^{-0.16*5}= 44.9329$

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

7 0

3 years ago

Part A

olasank [31]

<h3>Answer:</h3>

B. f(x) = 3,000(0.85)^x
$1566.02

<h3>Step-by-step explanation:</h3>

Part A

At the end of the year, the value of the computer system is ...

... (beginning value) - 15% · (beginning value) = (beginning value) · (1 - 0.15)

... = 0.85 · (beginning value)

Since the same is true for the next year and the next, the multiplier after x years will be 0.85^x. Then the value after x years is ...

... f(x) = (beginning value) · 0.85^x

The beginning value is given as $3000, so this is ...

... f(x) = 3000·0.85^x

____

Part B

For x=4, this is ...

... f(4) = 3000·0.85^4 = 3000·0.52200625 ≈ 1566.02

The value after 4 years is $1566.02.

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3 years ago

hurry! You receive a $150 bonus each month you reach your sales quota. You reach your sales quota for each of 3 months. What is

Lera25 [3.4K]

450

I used my head lol

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3 years ago