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jasenka [17]
3 years ago
13

Simplify square root of negative 48.

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0
We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
\sqrt{-48} =  \sqrt{i^{2}.16.3} = \sqrt{i^{2}}  \sqrt{16}  \sqrt{3} =4i \sqrt{3}

Answer: c.  4i \sqrt{3}

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Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib
olasank [31]
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
6 0
3 years ago
Whats the answer and equation to Two more than four times a number is -10
Artist 52 [7]

2+4a=-10

First, subtract 2 from both sides.

4a=-12

Then divide 4 from both sides.

a=-3

hope it helps!

3 0
3 years ago
3. f(-4) – 3.g(-2) =
Finger [1]
I got:
-2(2f-3g)

explanation:
used communicative property
6 0
3 years ago
the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45%
AlexFokin [52]

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, x+y=30 (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

\frac{x}{5}+\frac{9y}{20}=10.5 (Equation 2)

Solving equations 1 and 2,

we get y=18 and x=12.

So, 12 pints of first type of juice and 18 pints of second type of juice are used.

6 0
3 years ago
Sixty students voted in a class president. 30% of the students voted for Shawn and 70% of the students voted for Jane. How many
JulsSmile [24]
There are 60 students. The winner got 70% of the 60 students votes. Let's work this one out to get the answer.

First, you need to figure out what 70% of 60 is, by using this equation.
60 x .70 = 42.
Now that you know the answer is 42, you now know that 70 percent of 60 is 42.

So, the class president got 42 winning votes!






Hope I could help!
Ossashi(づᵔᗜᵔ)づ








8 0
3 years ago
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