Can someone help me with this please?

Simplify the expression. 12x^-6 y^10 times 3x^7 y

Vlada [557]

We need to simplify the expression:

$12x^{-6}y^{10} \times (3x^{7}y)$

Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:

Now,

$12x^{-6}y^{10} \times 3x^{7}y=(12 \times 3)\times (x^{-6}\times x^{7})\times (y^{10}\times y)$

On simplifying the above expression we get:

$36\times x^{(-6+7)}\times y^{(10+1)}$

$=36 \times x^{1}\times y^{11}$

$=36 \times x \times y^{11}$

$=36xy^{11}$

So the simplified form of the expression $12x^{-6}y^{10} \times 3x^{7}y=36xy^{11}$ .

7 0

2 years ago

How much will the guitar be worth in 10 years?

Contact [7]

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

$V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487$ . Hope this helps!

8 0

2 years ago

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Mai and Tyler work on the equation 2/5b+1=-11 together. Mais soulution is b=-25 and Tyler’s is b=-28. Here is their work. Do you

Anika [276]

Answer:

No I don't agree with their solution; both their answers are wrong.

Correct answer is $b=-30$ .

Step-by-step explanation:

Given:

$\frac{2}{5}b+1=-11$

Now given:

According to Mai $b = -25$ and According to Tyler $b = -28$

Now we need to find which of them is correct.

So we will solve the given equation we get;

$\frac{2}{5}b+1=-11$

Subtracting both side by 1 we get;

$\frac{2}{5}b+1-1=-11-1\\\\\frac{2}{5}b =-12$

Now Multiplying both side $\frac{5}{2}$ we get;

$\frac{2}{5}b\times\frac{5}{2}= -12 \times \frac{5}{2}\\\\b=-6\times 5\\\\b=-30$

Hence both of them are incorrect, correct answer is $b=-30$ .

3 0

3 years ago

What is the value of the discriminant in the equation shown below?<br><br> x^2 -6x +4 =0

irakobra [83]

Answer:

Discriminant = 20

Step-by-step explanation:

We use formula to find the discriminant.

Discriminant (D) = b^2 - 4ac

The given equation is x^2 - 6x + 4 = 0.

Here the value of a = 1, b = -6 and c = 4.

Plug in the given values in the formula, we get

Discriminant (D) = (-6)^2 - 4*1*4

= 36 - 16

Discriminant = 20

Thank you.

7 0

3 years ago

Which is the longer trip from Earth, a one-way trip to Mars or a round-trip to Venus?

dimulka [17.4K]

<span>if a trip from earth to mars, is 97/186=.52150

and a trip from earth to venus is 0.2774(now we have to times it by 2 since its a roundtrip),

we get .5548 we can clearly see that .5548>.52150

So roundtrip venus</span>

6 0

3 years ago

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