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sertanlavr [38]
2 years ago
13

What does : mean in a mathematical sentence​

Mathematics
1 answer:
yan [13]2 years ago
6 0

I think division, at least that's how I wrote it in school

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)
makkiz [27]
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2
3 0
3 years ago
The students in chemistry class have 75 milliliters of a pure acid which must be diluted to a solution that is 10% acid. How man
lana66690 [7]

Answer:

Add W ml

75*100 + W*0 = (75+W)*10

6 0
3 years ago
Please dont let this go by.. I really need help
matrenka [14]

What do you need help with?

3 0
3 years ago
Read 2 more answers
Plz help I will do anything
Basile [38]

There's no need to get into an ethical morass over math homework.


111.


M is 20% less than N means

M is 100-20=80% of N

M=0.80 N

M/N = 0.8 = 4/5


Ratio: 4/5


112.


When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>


So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6


Answer: 3.6


113.


|2p + 4 | < 3


At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when


2p +4 = -3


2p = -7


p = -7/2 = -3 1/2


So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.


Answer: -3



114.


The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:


d = \sqrt{(-.3)^2 + (-.4)^2}=.5


Answer: .5 or 1/2


4 0
3 years ago
24. a rate in which the second quantity. In the comparison is one unit.
natima [27]
24. unit rate
25. ?
26. surface area
27. trial
28. supplementary angles
29. variable
30. unit conversion ?
3 0
3 years ago
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