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4 years ago

EASY MATH!!! GIVING BRAINLIEST IF FAST!!

Mathematics

1 answer:

maksim [4K]4 years ago

8 0

Answer:

Step-by-step explanation:

In any function of the form f(x) = a(b^x), the initial value is always <em>a</em> because it is not dependent on <em>x</em>.

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Differentiating Functions of Other Bases In Exercise, find the derivative of the function.

aniked [119]

Answer:

$\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}$

Step-by-step explanation:

We are given the following in the question:

$y = \ln {16}(x^2 - 3x)$

We have to find the derivative of the given expression.

$y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}$

$\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}$

7 0

4 years ago

B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.

finlep [7]

Answer:

$\text{Probability}=\frac{1}{3}$

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{2}{6}$

$\text{Probability}=\frac{1}{3}$

8 0

3 years ago

bottle a contains 4 ounces of water, which is 25% of the amount of water in bottle b. How much water is in bottle b?

DerKrebs [107]

Idk is I’m right but....25%x4=1 which is the same as 100%

3 0

3 years ago

scientists determined that antarctica's average winter tempeture was -34.44c .the difference between this tempeture and antarcti

jekas [21]

Difference between average temperature and highest recorded = 49.44

Highest - Average = 49.44 Let it be H - A = 49.44

H - (-34.44) = 49.44

H + 34.44 = 49.44

H = 49.44 - 34.44 = 15

Highest recorded = 15°C.

5 0

3 years ago

Through: (5,-1) and (-3,-5)

maxonik [38]

Answer:

If you are trying to find slope the answer is 1/2

Step-by-step explanation:

I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.

5 0

3 years ago

Read 2 more answers