Solve. Q - 7 5/6 = 6 1/2

Answers

Answer 1

Answer: $Q - 7 (5)/(6) = 6 (1)/(2) \n \n Q - 7 (5)/(6) + 7 (5)/(6) = 6 (1)/(2) + 7 (5)/(6) \n \n Q = 6 (1*3)/(2*3) + 7 (5)/(6) \n \n Q = 6 + 7 + (3)/(6) + (5)/(6) \n \n Q = 13 + (8)/(6) = 13 + (6)/(6 ) + (2)/(6) = 14 (2)/(6 ) = 14 (1)/(3)$

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Give the quadrant each set of coordinates lies in: (1,5),(-2,4),(-3,2)(4,-4)

Answers

Answer:

(1,5) is in Quadrant 1

(-2,4) is in Quadrant 2

(-3,2) is in Quadrant 2

(4,-4) is in Quadrant 4

Step-by-step explanation:

Choose the correct simplification of x to the 3rd power over y to the 5th power all raised to the 2nd power.x to the 5th power over y to the 7th power
x over y to the 3rd power
x to the 6th power over y to the 10th power
x6y10

Answers

Answer:

Option 3 - x to the 6th power over y to the 10th power

Step-by-step explanation:

Given : Expression x to the 3rd power over y to the 5th power all raised to the 2nd power.

To find : Choose the correct simplification of the expression?

Solution :

Writing the expression in value form,

x to the 3rd power = $x^3$

y to the 5th power= $y^5$

x to the 3rd power over y to the 5th power all raised to the 2nd power =

$((x^3)/(y^5))^2$

Now applying identity,

$((x)/(y))^a=(x^a)/(y^a)$

$=((x^3)/(y^5))^2$

$=((x^3)^2)/((y^5)^2)$

Using identity, $(x^a)^b=x^(a.b)$

$=(x^(3.2))/(y^(5.2))$

$=(x^(6))/(y^(10))$

In word form, x to the 6th power over y to the 10th power.

Therefore, Option 3 is correct.

$\left( \cfrac{x^3}{y^5} \right)^2=\cfrac{(x^3)^2}{(y^5)^2}=\cfrac{x^(3*2)}{y^(5*2)}=\cfrac{x^(6)}{y^(10)}$

A pro football team has 36,000 season ticket holders. Then the team wins the championship and the number of season ticket holders increases by 9,000. What is the percent of change in season ticket holders?20%
25%
33.3%
75%

Answers

Given:
36,000 season ticket holders (base number)
9,000 increase in season ticket holders.

9,000 / 36,000 = 0.25
0.25 * 100% = 25%

The percentage change is an increase of 25%.

36,000 + 9,000 = 45,000 new number of season ticket holders.

Last year, manuel saved $50 per month . this year, he increases his monthly savings by 25%. he plans to buy a smart phone for $375. at this rate, how long will it take him to save enough money to buy the smart phone if he starts saving for it this year?

Answers

First multiply 50 and .25 to find out how much extra he is saving, $12.5 Then add that to 50 to get $62.5. Divide $375 by $62.5 to get 6. It will take 6 months to save the money. Hope this helps!

Find the amplitude, period, and phase shift of the function defined by:
y=3-2cos(3x+pi)

Answers

This is a sinusoidal wave with an amplitude of 2 , riding on a constant value of 3 .
The 3 isn't part of the function's amplitude ... the function wiggles between 2 under it
and 2 over it.

The period of the function is the change in 'x' that adds (2 pi) to the angle.

When x=0, the angle is pi

When the angle is (3 pi) . . .

3 pi = 3x + pi
2 pi = 3x
x = 2/3 pi The period of the function is 2/3 pi .

When x=0, the function is cos(pi) rather than cos(0).
So the function is a cosine with a phase shift of +pi.
It could also be described as a sine with a phase shift of -pi/2 or +3pi/2 .

Evaluate 25-[9+a] if a =12

Answers

25 - [ 9 + a ] : a = 12

25 - [ 9 + 12 ]

25 - 21

= 4

hope this helps!

25-(9+12)
25-(21)
25-21
=4

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