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3 years ago

Please Help Quickly!

Mathematics

2 answers:

elixir [45]3 years ago

6 0

45,781.2 I believe, I am not sure, but I think that is right.

ElenaW [278]3 years ago

6 0

Answer: $45781.2\text{ cm}^3$

Step-by-step explanation:

From the given picture, the diameter of the base of cylinder = 12 cm

i.e. the radius of the cylinder = $r=\dfrac{12}{2}=6\ cm$

Height = 15 cm

If the dimensions of the following cylinder are tripled, then the radius of cylinder = $3\times6=18\ cm$

Height= $3\times15=45\ cm$

We know that the volume of a cylinder is given by :-

$\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3$

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Tom and Jerry both get paid $5 per hour. Tom worked twice as many hours as Jerry. How much did they get paid altogether?

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Answeryou in collge

Step-by-step explanation:

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3 years ago

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What is the solution to this inequality?

Snezhnost [94]

Answer:

$\boxed{\sf{D. \quad x < 3}}$

Step-by-step explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

First, add by 8 from both sides.

$\sf{-4x-8+8 > -20+8}$

Solve.

-20+8=-12

Rewrite the problem down.

$\sf{-4x > -12}$

Multiply by -1 from both sides.

(-4x)(-1)<(-12)(-1)

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4x/4<12/4

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Divide the numbers from left to right.

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I hope this helps you! Let me know if my answer is wrong or not.

5 0

2 years ago

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Someone help me on this math problem

densk [106]

The answer to the question

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3 years ago

Which polynomial represents (6 x 2 −x−9)(4x−7)?

nydimaria [60]

Answer:

The answer to your question is 24x³ - 46x²- 28x + 63

Step-by-step explanation:

Data

(6x² - x - 9)(4x - 7)

Process

1.- Multiply 4x by the three terms of the first polynomial

(6x² - x - 9)(4x) = 24x³ - 4x² - 36x

2.- Multiply -7 by the three terms of the first polynomial

(6x² - x - 9)(-7) = -42x² + 7x + 63

3.- Add both result

24x³ - 4x² - 36x -42x² + 7x + 63 = 24x³ - 46x²- 28x + 63

6 0

3 years ago

Solve the following equations. log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

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4 years ago