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Sedbober [7]
3 years ago
6

12. In the toy factory where you work, you inspect each toy for

Mathematics
1 answer:
Andrej [43]3 years ago
3 0
67:938
But when you reduce this ratio your final answer is 1:14
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For what value of x is the rational expression below undefined?
Blizzard [7]

Answer: The expression is undefined for x=4 and x=5.

The expression is undefined for any x that makes the denominator 0. This leads to solving a quadratic equation:

\frac{x+3}{x^2-9x+20}\\x^2-9x+20\neq 0\\x_{1,2}\neq\frac{9\pm\sqrt{9^2-80}}{2}=\frac{9\pm1}{2}\\x_1\neq4\\x_2\neq5

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=7x%5E%7B3%7D%20%2A%207x%5E%7B5%7D%2A7x%5E%7B2%7D" id="TexFormula1" title="7x^{3} * 7x^{5}*7x^{
Natasha_Volkova [10]

{7x}^{3} . \:  {7x}^{5} . {7x}^{2} \\ 343 {x}^{3}   {x}^{5}  {x}^{2}  \\ 343 {x}^{10}  \\

4 0
2 years ago
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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

7 0
2 years ago
At a dinner, the meal cost $32 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $64 meal?
Vilka [71]

Answer:

3.74

Step-by-step explanation:

Since 64 is x2 the number 32, and the tax for that is 1.87 you times that times 2 so:

1.87x2=3.74

3 0
2 years ago
What is scale factor of the two triangles ?
Arada [10]

Answer:

GKN is 3/4 of AHL

Step-by-step explanation:

Compare the similar sides. 3:4. 6:8. 15:20. All of them are equivalent to 3/4

6 0
3 years ago
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