Which is 216 written as a power of a number?
a. 63
b. 36
c. 1082
d. 723

Answers

Answer 1

Answer: the answer is A hope this helps.

Answer 2

Answer: $6^(3) =6*6*6=216$

The answer is A

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Helpppppp i don’t know
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Simplify 2x - 8x - 6y + 9 -14 + x + 11y.
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Which statement best describes the excluded values of a rational expression?a. The number of excluded values of a rational expression cannot exceed the degree of the numerator.
b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.
c. The number of excluded values of a rational expression cannot exceed the sum of the degrees of the numerator and denominator.
d. The number of excluded values of a rational expression cannot exceed the difference in the degrees of the numerator and denominator.

Answers

Answer: b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.

Step-by-step explanation:

A rational expression is a fraction in which the numerator and the denominator are polynomials. The excluded values of a rational number are that values which make denominator zero.They are basically the zeroes of the polynomial of denominator.So,the number of excluded values can't exceed the degree of the denominator.

Here is a rational expression $(x^2-6)/(x^2-4)$

where the denominator is $x^2-4=(x-2)(x+2)$

⇒x=-2,+2 are zero of polynomial $x^2-4$

i.e. -2 and 2 are the excluded values for the whole rational expression.

Which statement best describes the excluded values of a rational expression?

B is the correct answer - The number of excluded values of a rational expression cannot exceed the degree of the denominator.

A rational expression is denoted in $(p)/(q)$ form; where 'p' is the numerator and 'q' is the denominator. The numerator and denominators can be polynomials. The denominator cannot be zero in general, as it makes the fraction value undefined.

Train a leaves station traveling at 40 mph. Eight hours later train b leaves the same station traveling in the same direction at 60mph. how long does it take for train b to catch up to train a?What would the formula look like to reach the desired answer?
Thank you! :)

Answers

$v_1=40\ mph\nv_2=60\ mph\nt_2=t_1-8\n\nv=(s)/(t)\to s=vt\n\ns_1=s_2\n\nv_1t_1=v_2t_2\n\nv_1t_1=v_2(t_1-8)$

$40t_1=60(t_1-8)\n\n40t_1=60t_1-480\n\n40t_1-60t_1=-480\n\n-20t_1=-480\ \ \ \ /:(-20)\n\nt_1=24\ (h)\n\nt_2=24-8=16\ (h)\n\nAnswer:16h.$

Describe how to determine the solution of a system of two linear equations by graphing.WEEELPP

Answers

Using the graphing you graph the two equations and then find the point where the two lines of the equation meet.

Hope this helps :)

1). Draw the graph of one equation.

2). On the same graph, draw the graph of the other equation.

3). If the two lines cross, the x and y at the point where they cross are the solution to the system of two equations.

4). If the two lines don't cross, then the system has no solution.

5). If they are the same line, then the two equations are the same equation, and every point on the line is a solution to it.

The volume of a cylinder with a base diameter of 15 centimeters is about 402 cubic centimeters. whats the Height?

Answers

volume of cylinder=area of base times height
area of base=pi times radius^2
diameter=2radius
diameter/2=radius
diameter=15
15/2=radius
7.5=radius

pi=aprox 3.14
3.14 times 7.5^2
3.14 times 56.25
176.625 times height=402
divide both sides by 176.625
height=2.28

the height=2.28 cm

Solve the polynomial inequality: 4x² + 19x - 5 ≤ 0

Answers

Answer:

4x² + 19x - 5 ≤ 0

4x²+20x-x-5≤ 0

per factorization :

4x(x+5)-1(x+5)≤0

(x+5)(4x-1)≤0

x+5≤0

x≤-5

x-4≤0

x≤4

x[-5, 1/4]

In yesterday's basketball game, Raul made 77.7% of his shots.What fraction of his shots did he make?
1. How would you write 77.7% as a decimal? Set that decimal equal
to x. What digit or digits repeat?
2. Multiply each side of the equation by a power of 10 to get the
repeating digit(s) to the left of the decimal point. Since you only
need to move one place, multiply each side by 10.
3. Subtract the equation in Exercise 1 from the equation in Exercise 2.
Then simplify.
4. Divide each side of the equation by 9 to solve for x. What fraction is
equal to x? Show your work.
5. What fraction of Raul's shots did he make?
On the Back!
6. This season, Jenny's lacrosse team had a winning percentage of
0.83. What fraction of their games did Jenny's team win?

Answers

Answer:

FEEL FREE TO CORRECT ME IF I'M WRONG! (in the comments)

1. 0.777, the thousandths place value repeats

2. 7.77

3. x = 0.60 (0.0603729)

6. 83%

-did my best-

Step-by-step explanation:

Final answer:

Raul made 7/9 of his shots in yesterday's basketball game and Jenny's lacrosse team won 83/100 of their games this season.

Explanation:

To answer the question about what fraction of shots Raul made, we need to convert the percentage into a decimal and then a fraction. To first convert 77.7% into a decimal, we move the decimal point two places to the left, getting 0.777.

Now, to put this into fraction form, knowing that the decimal 0.777 is repeating, we let x = 0.777. Multiply each side by 10 to get 10x = 7.777. Subtracting the first equation from this gives us 9x = 7, hence x = 7/9. So, the fraction of shots Raul made is 7/9.

For Jenny's lacrosse team, the winning percentage is 0.83. It’s a non-repeating decimal so it's straightforward to convert this into a fraction. To convert the decimal to a fraction, we consider the numbers after the decimal point. Since there are two digits (.83), we write it as 83/100. But, it can be simplified by dividing both the numerator and the denominator by their greatest common factor (GCF), which is 1 in this case. So, the fraction of games Jenny's team won is 83/100.