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Kitty [74]
3 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]3 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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A rectangle has an area of 30 square meters and a perimeter of 34 meter. What are the dimensions of the rectangle?
Veseljchak [2.6K]
Rectangle's Perimeter is P=2(w+l)
where w and l are width and length respectively
34=2(w+l)
17=w+l
w=17-l

now A=wxl
A=(17-l)xl
A=17l-l^2
30=17l-l^2
l^2-17l-30=0

now solve for l



8 0
3 years ago
A class of 25 students is going on a field trip to a science museum.They plan to visit the exhibits in small groups of 2,3, or 4
Andreyy89
The least number of chaperones they will need is 5 chaperones because the greatest amount of students in a group is 4, so less chaperones. If each group has one chaperone that is 5 people per group total. 25 divided by 5 is 5.
7 0
3 years ago
What is the length of the arc with a measure of 200 degrees in a circle with a radius of 31 inches?
Kipish [7]

Answer:

403π/9 or 140.67

Step-by-step explanation:

First, you have to find the circumference of the circle

Circle circumference equation:

Circumference = dπ (Circumference = diameter x pi)

You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)

So:

C = 62π

Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,

So in other words, you want 200/360 of the circle's circumference.

You can find the measure of the 200 degree arc by doing

62π x \frac{200}{360} = \frac{403pi}{9} or 140.67

6 0
2 years ago
A true mathematician would know this problem. So If you know the magic square(You can look it up)I need each of a 3 by 3 square
motikmotik

Attached is one version.

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The key is that 9 must go in the middle.

8 0
2 years ago
Read 2 more answers
Which linear equation has a slope of 3 and a y-intercept of -2?
AVprozaik [17]

Answer:

y = 3x - 2

Step-by-step explanation:

The number beside the x is the slope. The number at the end of the equation is the y-intercept.

All the answers are in this form:

y = mx + b

m is the slope.

b is the y-intercept.

With a 3 filled in for slope and -2 filled in for the y-intercept, you get:

y = 3x + -2

is the same as,

y = 3x - 2

8 0
1 year ago
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