Which expression is equivalent to (xy)z?

(N^16) 1/4 Need help

Shtirlitz [24]

Answer:

${n}^{16} \times 1 \div 4 \\ {n}^{4}$

Step-by-step explanation:

4 times 4 is 16 so while both are in power so we can do this like that

6 0

4 years ago

Read 2 more answers

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

so

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

so

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

so

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

7 0

3 years ago

Read 2 more answers

The end points of Line GH are G (10,2) and H(4,8). Find the coordinates of the midpoint M.

nikitadnepr [17]

Answer:

(10-4)/2 , (2-8)/2

6/2 , -6/2

Midpoint = (3,-3)

7 0

2 years ago

Rearranging literal equations ASAP NEED HELP

Tju [1.3M]

When we look at this thing for the first time, it looks like it's going to be a dog of a bear to solve, because 'q' is buried inside a squared term and a cubed term.

But this is why it's so important to learn that in math, you DON't immediately ignite your hair and go running around in circles as soon as you see the problem. The first thing you have to do every time is sit still, look at the problem, breathe air, and switch your brain into the 'ON' position.

Look at that big ugly fraction in the equation. Can it be simplified ? You betcha it can ! The quantity (q+r) is a factor of the numerator and denominator, so we can do some canceling.

Divide the top and the bottom of the fraction by (q+r)², and then the problem says . . .

p = (q+r)/12 + 4r

which is MUCH easier to unravel and solve for 'q' . Let's do this !

p = (q+r)/12 + 4r

Subtract (q+r)/12 from each side . . . p - (q+r)/12 = 4r

Subtract 'p' from each side . . . -(q+r)/12 = 4r - p

Multiply each side by -1 . . . (q+r)/12 = p - 4r

Multiply each side by 12 . . . (q+r) = 12p - 48r

Subtract 'r' from each side . . . q = 12p - 49r

5 0

4 years ago

What is the equation of a circle with its center at (10,−4) and a radius of 2?

Dmitrij [34]

Equation of circle
(x-h)^2 + (y-k)^2 = r^2
=> (x-10)^2 + (y+4)^2 = 4 is the answer

7 0

3 years ago