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4 years ago

Is Happyville linear or exponential

Mathematics

1 answer:

nordsb [41]4 years ago

8 0

Answer:

expoential

Step-by-step explanation:

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there are 3 boys for every 2 girls in the class. there are 90 students total. how many total girls? how many total boys?

netineya [11]

Answer: There is 36 girls and 54 boys.

Step-by-step explanation: If there is 36 girls and there is 3 boys for every 2 girls that means half of 36 is 18 so do 18 times 3 which will equal 54 boys.

54+36=90

4 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago

The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use f

Murrr4er [49]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)$

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

3 0

4 years ago

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Sara and Ellie have $60 to spend on a gift for their mom. They want to buy her a bracelet that costs $62.50. What is the minimum

jarptica [38.1K]

Answer:

Simplify the expression. 4x - 3 + 8x - 5 - 3x

Step-by-step explanation:

4 0

3 years ago

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Q5.) Use the model to determine when the population of the country will be 827 million.

Aneli [31]

The country population would be 827 million in about 20 years.

This can be found by replacing "t" with 20 and solving. The solution would be about 8273.28 million. Thus meaning in about 20 years, the population would be 827 million.

8 0

4 years ago