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3 years ago

4. the weight of a liquid varies directly as its volume v. of the weight of the liquid

Mathematics

1 answer:

My name is Ann [436]3 years ago

8 0

B 129G i’m pretty sure

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What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

liq [111]

All the values of the x for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

Given-

Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let u in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

$u^2+100u-5u-500=0$

$u(u+100)-5(u+100)=0$

$(u+100)(u-5)=0$

Replace the value of u with $x^2$ ,

$(x^2+100)(x^2-5)=0$

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

$x^2-5=0$

further, solve it,

$x^2=5$

$x=\sqrt{5},-\sqrt{5}$

And another factor is

$x^2+100=0$

$x^2=-100$

$x=10i,-10i$

Hence, all the values of the x for the given function are $\sqrt{5},-\sqrt{5},$ $10i ,$ and $-10i$ .

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0

3 years ago

8 (3x-y) what is the answer

lesantik [10]

Answer:

24x-8y

Step-by-step explanation:

8 times 3x is 24x and 8 times y is 8y

8 0

3 years ago

Read 2 more answers

Translate the phrase into a numerical expression of One hundred divided by the quantity three times five

dimulka [17.4K]

$\frac{100}{3*5}$

4 0

4 years ago

What is the exact solution to the equation 4^5x=3^(x-2) list the steps to get the answer

scoray [572]

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

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3 years ago

How many ways can the letters of the word ORGANISM be arranged so the third letter is G?

Darya [45]

7 to 8 i think............................

5 0

4 years ago