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telo118 [61]
3 years ago
11

Evaluate: 11 + sqrt(-4 + 6×4÷3)

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0

Answer:

13

Step-by-step explanation:

11 + √(-4 + 6×4÷3)

= 11 + √(-4 + 24÷3)

= 11 + √(-4 + 8)

= 11 + √(4)

= 11 + 2

= 13

Pavel [41]3 years ago
6 0

Answer:

13

Step-by-step explanation:

11 + sqrt(-4 + 6×4÷3)

Evaluate inside the parentheses

Multiply and divide first

11 + sqrt(-4 + 24÷3)

11 + sqrt(-4 + 8)

11+ sqrt (4)

11 + 2

13

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The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i
dalvyx [7]

Answer:

<em>r=3x</em>

Step-by-step explanation:

<u>The Volume of a Cone</u>

The volume of a cone of radius r and height h is:

\displaystyle V=\frac{1}{3}\pi hr^2

We are given the volume of a cone is

V=3\pi x^3

Equating:

\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3

Multiplying by 3:

\pi hr^2=9\pi x^3

Simplifying by pi:

hr^2=9 x^3

Since h=x:

xr^2=9 x^3

Dividing by x:

r^2=9 x^2

Taking square roots:

r=\sqrt{9 x^2}=3x

Thus: r=3x

5 0
3 years ago
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Enter the value of n so that the expression (y + 2) + (3y - 5) is equivalent to (ny- 3)
matrenka [14]

Answer: n = 4

Step-by-step explanation: you combine the like variables which turns it into

(4y - 3)

(4y - 3) is <em>another</em> way of saying ((4 x y) - 3)

So the 4 is turned into n making it (ny - 3)

5 0
3 years ago
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During a spring clearance sale, Sears advertise 1/4 off the list of Model II microwave ovens and an additional 1/5 off the sale
ozzi

Answer:

$ 75.

Step-by-step explanation:

From the information above,

List price of model II = $240

Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.

Therefore,

Let the sale price be X,

= (1/4)*(list price) + (1/5)*X

X = (1/4)*(240) + (1/5)*X

X = 60 + (1/5)X

Solving for X,

X - (1/5)X = 60

(4/5)X = 60

X = (60*5)/4

= $75.

4 0
3 years ago
Please answer! I got more coming soon. :))
astra-53 [7]

Answer:

28.3 square inches

Step-by-step explanation:

Use the area of a circle to determine its area:

A=\pi r^2\\\\A=\pi(3)^2\\\\A=9\pi\\\\A=9(3.14)\\\\A=28.26\\\\A\approx28.3

Therefore, the area of a circle with a radius of 3 inches is 28.3 square inches

4 0
2 years ago
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What is the completely factored form of this polynomial?<br> – 8x²+<br> + 16
Zanzabum

Answer:

-8(x²-2)

Step-by-step explanation:

Factor -8 out of -8x²

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Factor -8 out of 16.

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Factor -8 out of -8(x²)-8(-2).

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