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2 years ago

Samantha, Wilbert and Zahir have ages in ratio of 7:8:9. Zahir is 8 years older than Samantha. What are their ages?

Mathematics

2 answers:

vichka [17]2 years ago

4 0

Answer:

Samantha: 28, Wilbert: 32, Zahir: 36.

Step-by-step explanation:

The difference of 2 ratio units corresponds to a difference of 8 years, so each ratio unit stands for 4 years.

The ratio of ages in years is ...

... 4×7 : 4×8 : 4×9 = 28 : 32 : 36

Readme [11.4K]2 years ago

4 0

Zahir is 36 years old
Samantha is 28 years old
(Wilbert is 32 years old)

9×4=36
7×4=28
36-28=8

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Step-by-step explanation:

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2 years ago

Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

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First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

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and the fraction is transformed into

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Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

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3 years ago

Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

2 years ago

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marshall27 [118]

Answer:

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An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.

I hope this will help you

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2 years ago

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tamaranim1 [39]

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2 years ago

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