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3 years ago

Can someone help me answer number 6 please I don’t understand NO GUESSING if you don’t know it don’t answer thx

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

Based on what is written, Patty's Pies used 5 cups of peaches per 1 peach pie. As you can see, for every 1 pie in each example, 5 cups of peaches are used, 10 cups for 2 pies, 15 cups for 3 pies, etc. For 9 pies, multiply 5*9 to get 45. They would use 45 cups of peaches to make 9 pies if they continued to follow the same pattern.

I hope this helps :)

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Use DeMoivre's theorem to evaluate the expression

natima [27]

Answer:

B. $\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}$

Step-by-step explanation:

DeMoivre's theorem:

If the complex number $z=r(\cos \alpha+i\sin\alpha),$ then for natural number n

$z^n=r^n(\cos n\alpha+i\sin n\alpha).$

In your case,

$z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)$

and you have to evaluate $z^4.$

By DeMoivre's theorem,

$z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.$

7 0

3 years ago

Which equation represents a parabola that opens upward, has a minimum value of 3, and has an axis of symmetry at x= 3?

Ilya [14]

Answer:

$y=(x-3)^2+3$

Step-by-step explanation:

The correct question is

Which equation represents a parabola that opens upward, has a minimum value of y=3, and has an axis of symmetry at x= 3?

Verify each case

case 1) we have

$y=(x+3)^2-6$

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=-3 ----> is not ok

case 2) we have

$y=(x+3)^2+3$

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=-3 ----> is not ok

case 3) we have

$y=(x-3)^2-6$

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=3 ----> is ok

case 4) we have

$y=(x-3)^2+3$

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=3 ----> is ok

6 0

3 years ago

Factor 28 + 56t + 28w to identify the equivalent expressions. Choose 2 answers

ra1l [238]

Answer:

$28+56t+28w=14(2+4t+2w)\\\\28+56t+28w=28(1+2t+w)$

Step-by-step explanation:

$28+56t+28w=14\times 2+14\times 4t+14\times 2w\\\\14\ is\ common\ in\ every\ term\\\\28+56t+28w=14(2+4t+2w).........................................(1)\\\\Now\ take\ 2+4t+2w\\\\2+4t+2w=2+2\times 2t+2w\\\\2\ is\ common\\\\2+4t+2w=2(1+2t+1)\\\\Now\ substitute\ this\ in\ equation\ 1\\\\28+56t+28w=14\times 2(1+2t+w)\\\\28+56t+28w==28(1+2t+w)$

3 0

3 years ago

Read 2 more answers

What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32

Anastaziya [24]

Answer:

the answer is 32

Step-by-step explanation:

hope this help have a good day

4 0

3 years ago

The library has thirteen

dybincka [34]

Answer:

If the shelves are 4/5 full, then the total number of books in the library is 1,040 books

Step-by-step explanation:

13 roll of bookcases

All the bookcases have four shelves

Total number of shelves = 4 x 13

= 52 shelves

Each shelve holds 25 books each

Total number of books that can be in the shelves altogether = 52 x 25

= 1,300 books

If the shelves are 4/5 full, then the total number of books in the library is,

4/5 x 1300

= 1,040 books

5 0

3 years ago