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3 years ago

Which expression gives the volume of a sphere with radius 5?

Mathematics

2 answers:

musickatia [10]3 years ago

6 0

Answer:

Step-by-step explanation:

A is nothing.

B is the surface area

C is nothing

D is the volume of a sphere.

lys-0071 [83]3 years ago

5 0

Answer:

it is d

Step-by-step explanation:

formula of sphere=4/3* pi*r cubed

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What is 927 divided by 9 step by step

myrzilka [38]

Answer:

103

Step-by-step explanation:

$\frac{927}{9} = 103$

4 0

3 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

Probability of father and mother born in Michigan independent.<br><br>

raketka [301]

Answer:

A. no, not independent

Step-by-step explanation:

Let A = "father born in Michigan" and B = "mother born in Michigan".

If A and B are independent, then ...

P(A|B) = P(A)

The table tells us ...

P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397

and

P(A) = 0.48

Since 0.48 ≠ 0.397, we must conclude that the events are not independent.

6 0

3 years ago

I need help with geometry please!

Naddika [18.5K]

Answer:

The answer is 15

Step-by-step explanation:

You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.

3 0

2 years ago

Find the exact value of x

Olin [163]

Answer:

7.07

Step-by-step explanation:

5sin90=xsin45

5/sin45=7.07

5 0

3 years ago