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4 years ago

What is it??????????

Mathematics

1 answer:

spayn [35]4 years ago

8 0

Hey! :)

Some things to note: When you bring a exponent to the numerator, you make it negative.

When you put an exponent to another exponent, you multiply the exponents together.

$(\frac{3x^2y^5}{x^6y^2} )^4\\\frac{81x^8y^{20}}{x^{24}y^8}\\81x^8x^{-24}y^{20}y^{-8}\\\frac{81y^{12}}{x^{16}}$

so that is your answer, please let me know if you need more of an explanation. :)

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I am confused on what the reasons are.

Burka [1]

Answer:

1) Angle AOC + Angle COB = Angle AOB

Angle AOC = X

Angle COB = Y

putting in equation, we get

X + Y = AOB

2) Angle X + Y = AOB (proved above)

AOB = 90° ( given)

Angle X + Angle y = 90°

Angle X is the complement of Y

8 0

3 years ago

An apple-juice container has a tiny hole in it, so it is slowly leaking. If the container leaks three

Elena L [17]

Answer:

101.33333 minutes

Step-by-step explanation:

Given :

Leakage rate = 3 ounces per 19 minutes

Time it'll take for 16 ounces of juice in the container to leak out

The leakage rate on ounce per minute :

3 ounces / 19 minutes = 0.1578947 ounce per min

1f 0.1578947 ounces leak out in 1 minutes

16 ounces will leak out in x minutes

Hence ;

0.1578947x = 16 ounces

x = 16 / 0.1578947

x = 101.33335 minutes

OR :

3 ounces = 19 minutes

1 ounce = (19 / 3) = 6.333333 minutes

16 ounces = (15 + 1) ounce

15 ounces = 3 * 5

Hence, 15 ounces will leak in (19 minutes * 5) = 95 minutes

1 ounce = 6.33333 minutes

Hence,

16 ounces will leak in (95 minutes + 6.33333 ounces) = 101.33333 minutes

HENCE, All 16 ounces will leak out in 101.33333 minutes

8 0

3 years ago

Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, s

Snowcat [4.5K]

Answer:

$Speed = \frac{38}{3}km/hr$

Step-by-step explanation:

Given

$Distance = 3\frac{1}{6}km$

$Time = \frac{1}{4}hr$

Required

Determine the average speed

Average speed is calculated as thus;

$Speed = \frac{Distance}{Time}$

$Speed = 3\frac{1}{6}/\frac{1}{4}$

$Speed = 3\frac{1}{6} * \frac{4}{1}$

Convert Mixed Fraction to Improper fraction

$Speed = \frac{19}{6} * \frac{4}{1}$

$Speed = \frac{19 * 4}{6 * 1}$

$Speed = \frac{76}{6}$

Divide both sides of the fraction by 2

$Speed = \frac{38}{3}$

Hence:

The speed is:

$Speed = \frac{38}{3}km/hr$

3 0

3 years ago

At the movie theatre, child admission is $5.30 and adult admission is $8.90. On Tuesday, 118 tickets were sold for a total sales

Aleksandr-060686 [28]

Answer: 51

Step-by-step explanation:

I did this by the guess and check route!

8 0

3 years ago

I really need help on thisss

attashe74 [19]

Answer:

77 in ^2 is the best estimate

Step-by-step explanation:

We can get the total area from the sum of the triangle and the semi circle

semicircle

1/2 the area of the semicircle

A = 1/2 pi r^2

1/2 (3.14) ( 4^2)

25.12

Now find the area of the triangle

The base is 16 -r = 16-4 = 12

The height is 8

A = 1/2 bh

= 1/2 (8) (12)

= 48

The total area is 25.12+48 =73.12

7 0

4 years ago