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artcher [175]
2 years ago
8

Simplification of the expression (xyz2)4.

Mathematics
1 answer:
horrorfan [7]2 years ago
4 0
(xyz²)⁴
(x)⁴(y)⁴(z²)⁴
x⁴y⁴z⁸
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A cylinder has a volume of 198 and base has an area of 22 what is the height o the cylinder
Mumz [18]

Answer:

Step-by-step explanation:

The base of the cylinder is in the shape of a circle:

Area of the base=\pi *r^2

For Base area=22 square units

22=\pi *r^2

      22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}

Volume of the cylinder=\pi *r^2*h

For volume '198 cubic units' the height(h) is:

       198=\pi *r^2*h

       198=3.14*(\sqrt{7.01})^2*h

         198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\

4 0
2 years ago
A dietitian at a hospital wants a patient to have a meal that has 126 grams of protein, 82 grams of carbohydrates, and 101.5 mil
katovenus [111]
<h3>The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient. </h3>

Step-by-step explanation:

Let

Number of salmon steak = x

Number of baked eggs =y

and Number of acorn squash =z

Total amount of protein that is provided to the patient =40 x +20 y+3 z

Total amount of carbohydrates that is provided to the patient = 20 x+2y +15z

Total amount of vitamin A that is provided to the patient = x+25 y+ 37z

According to the problem,

40x+20y+3z=126,     20x+2y+15z=82    and   x+25y+37z= 101.5

Solving the above equations

we get x= 2.5 ,y= 1 and z=2

So ,  The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient.

4 0
2 years ago
What is the area in square units?
podryga [215]
For the rectangle you add 12 plus 9 to get 21 then multiply by 24 to get 288. then. you multiply 15 times 9 to get 135 then divide by 2 to get 67.5 for the top triangle. you then add 12 and 9 together to get 21 and multiply that by 15 to find the middle rectangle then you get 315. you then add all of the final values together to get 670.5 square units
3 0
3 years ago
43 people are going to a club. A taxi can carry 7 people how many takis do they need?
irina1246 [14]

Answer:

They need 7 taxis

Step-by-step explanation:

43/7 is 6.14, and since their cant be .14 f a person you have to round up

7 0
3 years ago
Ali runs five days a week at the local park's nature trail. The circular trail is 440 yards long. Each day that Ali runs, she ru
SpyIntel [72]

Answer:

15 miles

Step-by-step explanation:

12 * 440 = 5280 (yards every day)

5280 * 5 = 26400 (yards per week)

26400 *0.000568182 = 15 miles

8 0
3 years ago
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