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4 years ago

Multiply and simplify. 2x2y3z2 · 4xy4x2 how to do?

Mathematics

1 answer:

Darya [45]4 years ago

6 0

Answer:

$\huge\boxed{8x^5y^7z^2}$

Step-by-step explanation:

$\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\2x^2y^3z^2\cdot4xy^4x^2=(2\cdot4)(x^2xx^2)(y^3y^4)z^2=8x^{2+1+2}y^{3+4}z^2\\\\=8x^5y^7z^2$

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Unit 22. Practice test

OLga [1]

Answer:

Step-by-step explanation:

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4 years ago

Is (x + 1) a factor of 10x^3 - 15x^2 + 7x + 32?

iragen [17]

$10x^3-15x^2+7x+32^{}=0$

we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor

is a factor because the remainder is 0

so the new form of the equation is

$(x+1)(10x^2-25x+32)$

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2 years ago

Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (1 point) 3 4 13 22

olga_2 [115]

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

$4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3$

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2 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

3 0

3 years ago

Find the simplified form of the expression. Give your answer in scientific notation. (4 x 10^10)(9 x 10^5) 3.6 x 10^4 3.6 x 10^4

mezya [45]

It's simple arithmetic. The Answer is 604661760000000000000000000000000000000000000000000000000000000000000000000000000000 and in scientific notation
60466176 x 10⁸³

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3 years ago