MATHEMATICS HIGH SCHOOL

Find the number of permutations in the word “arithmetic”.3,628,800

907,200

834,200

700,123

Answers

Answer 1
Answer: 3,628,800 Permutations.

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Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squares should he shade? what percent woul his model show?

Answers

The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.

Find zero of the poylnomial
p(x)=x-4

Answers

The zero of a polynomial is the value which, when placed as the variable in the equation, makes the equation equal to zero. In this case, we have the equation

p(x) = x - 4

So the zero would be the value that, when put in the place of x, makes it equal to zero. Since all that's being done on the equation is subtracting four, then all we need to do to make the equation equal to zero is to add that 4 back, since

4 - 4 = 0

And our equation would look like this:

p(x) = (4) - 4

The zero of the polynomial p(x) = x - 4 is where x = 4.
Hope that helped! =)
at p(x) = 0 
x-4=0 
x= 4 
the zero of polynomial at x=4 

Use reference angles to find the exact value of tan 405 deg

Answers

tan405^o=tan(360^o+45^o)=tan45^o=1

2) If the original price of an antique chair was $41, what is the best estimate of an offer to purchase the chair at 124% of the original price?a.) The chair will be purchased at $20.
b.) The chair will be purchased at $40.
c.) The chair will be purchased at $50.
d.) The chair will be purchased at $90.

3) Which fraction could be used to determine an estimate of 76% of the people who attended the play?

a.) 1/2 of the people
b.) 3/4 of the people
c.) 2/3 of the people
d.) 1/10 of the people

4) Which mixed number could be used to determine an estimate of a 249% increase in value of a ring?

a.) 1/2 the value of the ring
b.) 3/4 the value of the ring
c.) 2 1/2 times the value of the ring
d.) 3 1/3 times the value of the ring

Answers

2) d.) The chair will be purchased at $90.
3) b.) 3/4 of the people
4) c.) 2 1/2 times the value of the ring
2) 50.84 ≈ 50   c

3) b.) 3/4 of the people

4) c.) 2 1/2 times the value of the ring

Yvette is trying to calculate the distance between point C(1, 2) and point D(7, 10). Which of the following expressions will she use? square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared square root of the quantity of 10 minus 1 all squared plus 7 minus 2 all squared square root of the quantity of 10 minus 7 all squared plus 2 minus 1 all squared square root of the quantity of 7 minus 10 all squared plus 1 minus 2 all squared

Answers

So this can be solve using the distance formula: D = sqrt [ (x2 – x1)^2 + (y2 – y1)^2] So the expression she should use is: D = sqrt [ (7 – 1)^2 + (10 – 2)^2] Then the answer would be: D = sqrt [ (6)^2 + (8)^2] D = 10

Answer:

square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared

Step-by-step explanation:

How do I go about solving (27x^3/8y^9)^5/3? And what is the role of the numerator and denominator?

Answers

\left( (27x^3)/(8y^9)\right)^ (5)/(3) \n\n\n =\left( ((3x)^3)/((2y^3)^3)\right)^ (5)/(3) \n\n\n = \frac{(3x)^{3 * (5)/(3) }}{(2y^3)^{3 * (5)/(3) }} \n\n\n =((3x)^5)/((2y^3)^(5 )) \n\n\n =(243x^5)/(32y^(15))

Now, If the exponent was negative like you asked....

\left( (27x^3)/(8y^9)\right)^ {-(5)/(3)} \n\n\n =\left( (8y^9)/(27x^3)\right)^ {(5)/(3)}\n\n\n =\left( ((2y^3)^3)/((3x)^3)\right)^ (5)/(3) \n\n\n = \frac{(2y^3)^{3 * (5)/(3) }}{(3x)^{3 * (5)/(3) }} \n\n\n =((2y^3)^(5 ))/((3x)^5) \n\n\n =(32y^(15))/(243x^5)
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