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Kitty [74]
4 years ago
14

Consider the area shown below. The top curve (in blue) is y=cuberoot(x) and the bottom curve (in red) is y=x^3, and we have used

the notation Dy for delta y.
Mathematics
1 answer:
stira [4]4 years ago
6 0
The top curve is
y = √x
The bottom curve is
y = x³

We are to find the area between the two curves, the limits are 0 and 1
A = ∫(x³ - √x)dy from 0 to 1
A = x⁴/4 - (1/2)/√x |from 0 to 1
A = 0.25 square units
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Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Sedbober [7]

Answer:

24/25

Step-by-step explanation:

Please see the attached image.

The cosine of an angle is the adjacent side relative to that angle over the hypotenuse.

Answer: 24/25

8 0
3 years ago
Z varies jointly as x and y. z=60 when x=5 and y=6. find z when x = 7 and y=3
Aneli [31]

Answer:

z = 42

Step-by-step explanation:

The question can be answered in 2 steps as follows:

Step 1: Calculation of the constant of the variation

The equation for the joint variation can be given as follows:

z = cxy ................... (1)

Where;

z = 60

c = constant = ?

x = 5

y = 6

Substituting the values into equation (1) and solve c, we have:

60 = c * 5 * 6

60 = c * 30

c = 60 / 30

c = 2

Step 2: find z when x = 7 and y = 3

Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:

z = 2 * 7 * 3

z = 42

4 0
3 years ago
- 2(x+5) = -2<br> Directions say solve for the equation
erik [133]

Answer:

x = -4

Step-by-step explanation:

Distribute:

-2(x + 5) = -2

-2(x) -2(5) = -2

Multiply:

-2(x) -2(5) = -2

-2x - 10 = -2

Add 10 on both sides:

-2x - 10 = -2

      +10    +10

-2x = 8

Divide by -2 on both sides:

-2x = 8

/-2     /-2

x = -4

3 0
4 years ago
What is 7^5 equal to
Alona [7]
The answer to 7^5 = 16807
5 0
3 years ago
A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability
cupoosta [38]

Answer:

\frac{8}{27} is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a \frac{1}{9} probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a \frac{6}{12} probability attached to it. \frac{1}{9} × \frac{6}{12}=\frac{1}{18} probability of happening.

Green: There is a \frac{5}{9} probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be \frac{4}{12}. \frac{5}{9}×\frac{4}{12}=\frac{5}{27}.

Blue: There is a \frac{3}{9} probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is \frac{2}{12} on its own, and them both being blue is  \frac{3}{9}×\frac{2}{12}=\frac{1}{18}

Adding \frac{1}{18}+\frac{1}{18}+\frac{5}{27} we get the answer \frac{8}{27}.

4 0
3 years ago
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