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3 years ago

Choose the correct simplification of the expression (3x2y3z4)(2x5y2z3).

2 answers:

5 0

Here is the answer to the given question above.
In order to correctly simplify the given expression above, we will be multiplying both expressions.
(3x^2 y^3 z^4)(2x^5 y^2 z^3)
Now, multiply the who numbers normally. But when an exponent is multiplied by another exponent, the exponents are added together.
Therefore we get, 6x^7y^5z^7.
Therefore, the correct answer would be option A.
Hope this answer helps.

Alex17521 [72]3 years ago

3 0

yep, your answer is A.

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885 ÷ 4. Write the quotient and remainder

3241004551 [841]

Answer:

221 remainder 1

Step-by-step explanation:

885/4 is equal 221.25

This means that the quotient is 221, and when multiplying 221 by four gets us 884. 885 - 884 has a remainder of 1

8 0

2 years ago

The spinner for a board game has eight colors the arrow can land on. What are the degrees of freedom for a goodness-of-fit test

Juliette [100K]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of colors that the arrow can land on = 8

We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.

As we know that degree of freedom is 1 less than the size of sample.

So, Mathematically, it is expressed as below:

So, Degree of freedom would be

$v=n-1\\\\v=8-1\\\\v=7$

Hence, Option 'c' is correct.

7 0

2 years ago

Suppose you worked 4.5 hours today and 2.25 hours yesterday. If you made $87, what were you

Rainbow [258]

$12.89 should be the answer bc 4.5+2.25=6.75 and 87 divided by 6.75 is 12.888888 so i would either round up or down

5 0

2 years ago

Which inequality comparing two of the expressions below is true when 0.5

Aleonysh [2.5K]

Answer:

Option C

Step-by-step explanation:

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. $\frac{x}{3} > \sqrt{x}$

If x = 0.6

∴0.6/3 > √0.6 ⇒ 0.2 > 0.77 ⇒ Wrong inequality

B. x³ > 1/x

If x = 0.6

∴ 0.6³ > 1/0.6 ⇒ 0.216 > 1.667 ⇒ Wrong inequality

C. √x > x³

If x = 0.6

∴ √0.6 > 0.6³ ⇒ 0.77 > 0.216 ⇒ True inequality

D. (x/3) > (1/x)

If x = 0.6

∴ 0.6/3 > 1/0.6 ⇒ 0.2 > 1.667 ⇒ Wrong inequality

So, The true inequality is option C

8 0

2 years ago

If sin theta = -1/2 and lies in the third quadrant, what is the cos?

never [62]

Sin angle that equals the 1/2 value is the 30 degree on the 1st Quadrant.

The angle of 30 degree on the 3rd Quadrant is equivalent to (formula and circle in the 1st photo) 180 + 30 = 210°.

So theta = 210° (3rd Quadrant) = 30° (1st Quadrant).

$cos \: 30\degree = \sqrt{3} \div 2$

Now just transfer the cos 30° to the 3rd Quadrant and the signal will be negative (as shown in the 2nd photo attached).

$cos \: 210 \degree = - \sqrt{3} \div 2$

5 0

3 years ago