What is the value of 8P4?

Answers

Answer 1
Answer: 8P4 is a permutation;

P(n,r) ; nPr = n!/(n-r)!

8P4 = 8!/(8-4)! = 40,320 / 4! = 40,320 / 24 = 1,680

The value of 8P4 is 1,680

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Which number is a factor of 100?
08

Answers

It’s only one number listed
The answer should be 5,10,2
Hope this helps

The point P(x, y) is on the terminal ray of angle theta. If theta is between pi radians and 3pi/2 radians and csc theta= -5/2, what are the coordinates of P(x, y)?A. P(-sqr 21, -2)
B. P(sqr 21, -2)
C. P(-2, sqr 21)
D. P(-2, -sqr 21)

Answers

csc(x) = 1/sin (x) = - 5/2 ⇒ sin (x) = - 2/5

sin(x) = opposite side / hypotenuse

If the opposite side measures 2 ---- [this is the y-component, except for the sign]

hypotenuse measures 5, and the adyacent side is √(5^2 - 2^2) = √(25 - 4) = √21 ---- [this is the x-component, except for the sign].

To assign the sign, we know that the quadrant between pi radians and 3Pi/2 radians is the third quadrant, where both the x-component and the y-component are negative.

Then the point is (-√21,-2). This is option A.

Answer:

(-√21,-2). option A.

Step-by-step explanation:

Write the equation of the line in slope-intercept form that has: slope: -1 point: (2, -3) *

Answers

Answer:

y = -x - 1

Step-by-step explanation:

Slope - Intercept form is y = mx + b

m = slope

b = y-intercept

We already have the slope of -1.  Substitute it into the equation.

y = -x + b

To find b, substitute the given point (2, -3) into the equation.  

-3 = -2 + b

b = -1

Substitute the value of b into the equation and you are left with:

y = -x - 1

Answer:

y = -1x - 3

Step-by-step explanation:

y = mx + b

m = slope = -1

b = y-intercept = -3

Plug in

y = -1x - 3

Convert 879/112 to whole or mixed number

Answers

\sf{ (879)/(112) =?}

\sf{ 112 * 7 = 784}

\sf{ 879 -784= 95}

\sf{ (879)/(112) =  (784+95)/(112) = (784)/(112) +  (95)/(112) = 7 +  (95)/(112) = 7 (95)/(112)}

\sf(879)/(112) = \boxed{7  (95)/(112)}
I don't know what you mean by "or" but I will do either one of them


879/112 to mixed number =

879 ÷ 112

= 7 R95

= 7 95/112


The denominator remains the same, the numerator is the remainder. While 7 is the whole number! :D


Add the fractions and simplify the answer: 1/2 + 2/3

Answers

The simplification of the fraction would be; 7/6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

Therefore, first convert the denominator (bottom n umber) to the same number.

1/2 and 2/3 then the numbers are 2 and 3

the least common multiple is 6

To convert is multiply each by bottom number of the other over the other;

1/2 +2/3

1/2 x 3/3 + 2/3 x 2/2

3/6 + 4/6

(7)/6

7/6

Hence, the simplification of the fraction would be; 7/6.

Learn more about fraction;

brainly.com/question/729654

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Jocy is making a wooden picture frame that will have a width that is 12 inches shorter than its length. If he uses 100 inches of wood, what are the dimsensionsof th frame?

Answers

If he uses 100 inches of wood to make the frame, then 100 is double the sum of the length and the width, so 50 is the sum of the length and the width.

If the length is 12 more than the width, then the width is (50-12)/2=19.  The length, then, is 19+12=31.