All categories

3 years ago

Amy's math notebook weighs

Mathematics

1 answer:

Rufina [12.5K]3 years ago

3 0

Mays math book, her history notebooks, science notebooks.

You might be interested in

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$

6 0

3 years ago

The the nearest hundredth, what is the area of a circle with a radius of 7 units

SpyIntel [72]

The answer is 153.94 units

8 0

2 years ago

A data set consists of the values 2, 6, 3, and 1. If we consider this a population (all the values available), the variance isA.

Hoochie [10]

Answer: E. none of the above

Step-by-step explanation:

The given data values that represents the population:

2, 6, 3, and 1.

Number of values : n=4

Mean of the data values = $\dfrac{\text{Sum of values}}{\text{No. of values}}$

$\dfrac{2+6+3+1}{4}=\dfrac{12}{4}=3$

Sum of the squares of the difference between each values and the mean =

$(2-3)^2+(6-3)^2+(3-3)^2+(1-3)^2$

$=-1^2+3^2+0^2+(-2)^2$

$=1+9+0+4=14$

Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)

= (14) ÷ (4)= 3.5

Hence, the variance is 3.5.

Therefore , the correct answer is "E. none of the above".

8 0

3 years ago

Find the slope of the line that passes through the points (3,0) and (3,-2).

Fittoniya [83]

When given the points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

we have
(3,0) and (3,-2)
(x,y)
x1=3
y1=0
x2=3
y2=-2

slope=(-2-0)/(3-3)=-2/0=undefined since you caon't divide by zero

answer is D

8 0

3 years ago

Read 2 more answers

If 19.40 is paid per 200 brochures how much is paid for 600 brochures sold

arlik [135]

Answer:

$58.20

Step-by-step explanation:

600 /200 = 3

3 * 19.40 = 58.20

5 0

3 years ago