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maria [59]
3 years ago
12

Identify the base in this statement: 16% of 98 is 15.68

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Ans: The base in the statement “16% of 98 is 15.68” is 98.

The three quantities in problems involving percent are Percent, Base, amount. ‘Percent’ has the percent (%) symbol. The base is the whole amount and the amount is the amount which comes after calculation the percent of the total amount.

So, in above problem, total amount i.e. Base is 98

Percent is 16%

And, the amount is 15.68.

<span>Moreover, the base in the statement comes after the word ‘of’ and in above statement, the digit after ‘of’ is 98.</span>

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egoroff_w [7]
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6 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
a sixth grade class has 12 boys and 24 girls consider this statement for every 2 boys there are 4 girls do you agree with this s
tigry1 [53]

This statement is correct as 12 is half of 24 and 2 is half of 4. We can also put this as the fraction 1/2 or 0.5 or 50% or 1:2. Therefore for every one bot there are two girls in the class.
5 0
2 years ago
Read 2 more answers
Radical expressions Help pls multiple choice
Ann [662]

Answer:

4th option (sqrt(10))/2

Step-by-step explanation:

\frac{5}{\sqrt{10} }  *  \frac{\sqrt{10}}{\sqrt{10} } \\  \frac{5\sqrt{10}}{10} \\\\frac{\sqrt{10}}{2}

8 0
3 years ago
2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true <br> plsss help :)))
Ivanshal [37]

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

\frac{9}{1} ÷ -\frac{1}{3} = \frac{9}{1} · -\frac{3}{1}

= -27

2. Divide both sides by 2:

2(x - 9) = -27

\frac{2(x-9)}{2} = \frac{-27}{2}

(x - 9) = -\frac{27}{2}

3. Add 9 to both sides:

x = -\frac{9}{2}

(or 4.5 if you need it in decimal form)

hope this helps!

6 0
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