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2 years ago

Simplify the expression 2(10) + 2(x - 4)

Mathematics

1 answer:

choli [55]2 years ago

5 0

Answer:

2(x+6)

Step-by-step explanation

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If the volume of a sphere is equal to the volume of a cube, what is the ratio of the edge of the cube to the radius of the spher

Pachacha [2.7K]

Answer: The answer is (C) 1.61.

Step-by-step explanation: Given that the volume of a sphere is equal to the volume of a cube. We are to find the ratio of the edge of the cube to the radius of the sphere.

Let, 'r' be the radius of the sphere and 'e' be the edge of the cube. Then, the volume of the sphere is given by

$V_s=\dfrac{4}{3}\pi r^3,$

and the volume of the cube is

$V_c=e^3.$

According to the question, we have

$V_s=V_e\\\\\Rightarrow \dfrac{4}{3}\pi r^3=e^3\\\\\\\Rightarrow \dfrac{4}{3}\times\dfrac{22}{7}r^3=e^3\\\\\\\Rightarrow 88r^3=21e^3\\\\\Rightarrow 4.44r=2.75e\\\\\Rightarrow \dfrac{e}{r}=\dfrac{4.44}{2.75}\\\\\Rightarrow e:r=1.61.$

Thus, the correct option is (C) 1.61.

4 0

2 years ago

Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?

IgorC [24]

Answer:

x - intercept = 8

y - intercept = 4

Step-by-step explanation:

In order to to find x- intercept, plug y = 0, in the given equation of line.

$\frac{1} {2} x+y = 4\\\\\frac{1} {2} x+0 = 4..(plug \: y = 0)\\\frac{1} {2} x = 4\\x = 2\times 4\\x = 8\\\huge \red {\boxed {\therefore x-intercept = 8}}$

In order to to find y- intercept, plug x = 0, in the given equation of line.

$\frac{1} {2} x+y = 4\\\\\frac{1} {2} \times 0+y = 4..(plug \: x = 0)\\0+y = 4\\y = 4\\\huge \purple {\boxed {\therefore y-intercept = 4}}$

8 0

2 years ago

Please Help!!!!!!!!!!!!!!!!!!!!!<br> Will mark BRAINLIEST

Llana [10]

Answer:

○ $\displaystyle -6m(m - 4)(m - 6)$

Step-by-step explanation:

$\displaystyle 6m^3 - 60m^2 + 144m \\ 6m[m^2 - 10m + 24m] \\ \\ \boxed{6m[m - 4][m - 6]}$

I am joyous to assist you at any time.

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1 year ago

Don’t worry bout the answer on the top but can someone help with two and fast ...???

NemiM [27]

I believe it’s $25.50

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2 years ago

If a is a negative number, then a(1/a) is equal to -1. If a is a negative number and b is a negative number, then product ab is

Firdavs [7]

Both claims are false. In fact, $a$ and $\frac{1}{a}$ are one the multiplicative inverse of the other. This means, by definition of multiplicative inverse, that