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ipn [44]
3 years ago
8

Use the expression 5(6 + 4x) to answer the following:

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

A. 5 and 2 are the factors. The first term, 5 is a prime number and thus the only factor in that term. The factor of the (6+4x) expression is 2, as it is a common divisor of 6 and 4.
B. 1 term in each factor
C. 4 is the coefficient of the variable term

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Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)​
Vitek1552 [10]
(9-3)/(4-1)= 6/3 = 2
Slope: m = 2
7 0
3 years ago
The frequency of a radio wave varies inversely with its wavelength. If a 100-meter wave has a frequency of 3,000 kilohertz, what
Zarrin [17]
\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{frequency varies inversely with its wavelength}\qquad f=\cfrac{k}{w}
\\\\\\
\textit{we also know that }
\begin{cases}
w=100\\
f=3000
\end{cases}\implies 3000=\cfrac{k}{100}
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300000=k\qquad thus\qquad \boxed{f=\cfrac{300000}{w}}
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7 0
3 years ago
14. Mason bought a cell phone online for $89.99. He saw the same phone in a store for $118.99.
bazaltina [42]

Answer:

I'm gonna have to say False

Step-by-step explanation:

when you round to the nearest tenth you get 90 and 119. 119 - 90 is 29 not 29.99

8 0
3 years ago
A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w
torisob [31]

ANSWER

r = x -  \frac{3}{2}

EXPLANATION

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V=8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi

The height of the is 6 inches.

We put the values into the volume of cone to get.

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi =  \frac{1}{3} \times  \pi \:  {r}^{2}  \times 6

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Divide through by 2π.

4 {x}^{2}  + 12x + 9 = {r}^{2}

The expression on the LHS is a perfect square trinomial.

( {x -  \frac{3}{2} })^{2}  =  {r}^{2}

r = x -  \frac{3}{2}

5 0
4 years ago
Read 2 more answers
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OLga [1]
309x+489(11-x)=4299
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7 0
3 years ago
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