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Over [174]
3 years ago
5

Simplify the following expression Root3 (27)*4^2

Mathematics
2 answers:
shepuryov [24]3 years ago
5 0

Answer: 432

Step-by-step explanation:

evaluate the power, which is 4 x 4 = 16

then you're left with 27 x 16

which equals 432.

Dmitry [639]3 years ago
5 0

Answer:

432

Step-by-step explanation:

Root 3 means 3 in 3 places which equal to 27

*4^2 means multiply by 4 square and 4 square is 16

Therefore 27×16=432

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6.3in<br> 14.7<br> 8.4in<br> how do you get the volume of the triangle?
Novay_Z [31]
The volume should be l(w)(h)= v so 6.3(14.7)(8.4)=29.4 in
4 0
3 years ago
Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=
RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0
3 years ago
Find the volume of the cone. Use the symbol pi in the calculator Round to the tenths
Tanya [424]

Answer:

209.4 mm³

Step-by-step explanation:

V = (πr²h)/3

V = (200π)/3

Plug it into a calculator to get  209.4.

6 0
3 years ago
What is 90% of 50? Someone please help. I have to write this for my question to get a good answer.
irina1246 [14]
45÷50=90%
if that is what you are looking for
8 0
3 years ago
Read 2 more answers
I need help please!!!
galben [10]

Answer:

Y= 3

Step-by-step explanation:

When the line hits - 1

The y axis shows that its 3

3 0
3 years ago
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