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3 years ago

Factor these expressions: A. 4x+12 B. 8r-14 C. 5x+35

Mathematics

1 answer:

vaieri [72.5K]3 years ago

5 0

A. 4(x+3)
B. 2(4r-7)
C. 5(x+7)

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Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree?

vodomira [7]

Answer:

I do not agree because Mario's claim is not general.

Step-by-step explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

And a denominator is the divisor in a given fraction.

Considering the following fractions whose denominators are prime numbers:

$\frac{2}{3}$ = 0.66666666...

$\frac{1}{7}$ = 0.142857142

$\frac{5}{11}$ = 0.45454545...

$\frac{3}{13}$ = 0.23076923

$\frac{1}{7}$ = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.

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3 years ago

Let A be the area of a circle with radius r. If dr/dt=3, find dA/dt when r=2.

astraxan [27]

$\bf \textit{area of a circle}=A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r^1\cdot \cfrac{dr}{dt}\implies \cfrac{dA}{dt}=\pi \cdot 2r\cdot \cfrac{dr}{dt}\quad 
\begin{cases}
r=2\\
\frac{dr}{dt}=3
\end{cases}
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2(2)(3)$

3 0

3 years ago

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Let f(x) = 3x + x², find f(4).

xenn [34]

F(4) is equivalent to 28 because when you plug in 4 for the x, you get 28.

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3 years ago

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Look at the formula for the volume of a cylinder below.

scZoUnD [109]

$h = V / ( \pi r^2)$

Okay, so we already have the volume equation for a cylinder here.
$V = \pi r^2 h$
Since we need to find the height(h), we need to basically isolate it in the equation. To do that we just have to divide both sides by (pi * r^2), where we end up with:
$V / (\pi r^2) = h(\pi r^2) / (\pi r^2)$
then
$V / ( \pi r^2) = h$
$h = V / ( \pi r^2)$

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2 years ago

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kap26 [50]

Answer:

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