Use a calculator to approximate to expression to the nearest thousandth.
log, 3.8

Answer: Range for set is 10

Hope this help!

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

[tex]\displaystyle A=\frac{1}{2}\pi r^2[/tex]

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

[tex]\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx[/tex]

Substitute:

[tex]\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx[/tex]

Simplify:

[tex]\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx[/tex]

Integrate:

[tex]\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right][/tex]

Evaluate:

[tex]\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3[/tex]

The volume of the solid is π/40 cubic units.

Volume of a solid is the measure of the 3 dimensional space it occupies. The volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]

For that, we can try to find infinitesimally small 3-d region's volume, and then integrate that region over the dimensions available to get the total volume of the specified region.

We can also use the fact that continuous curves are almost linear and non-changing in infinitely zoomed region.

The given solid has base bounded by x-axis, [tex]y=x^2[/tex] and 0≤x≤1

Its three dimensional region is along the z axis, for each x, there is a semicircle perpendicular with radius being 'y'.

If we take [tex]dx[/tex]x-axis, then the curve  [tex]y=x^2[/tex]cylinder(split from height because of semicircle)) with diameter y, and height [tex]dx[/tex]volume is : [tex]V_{dx} = \dfrac{1}{2} \times \pi (\dfrac{y}{2})^2 \times dx = \dfrac{\pi (x^2)^2}{8}dx = \dfrac{\pi x^4}{8} dx[/tex]

Integrating this for 0≤x≤1, we will get the volume of the three dimensional region needed as:

[tex]V = \int_0^4V_{dx} = \int_0^1 \dfrac{\pi x^4}{8} dx = \dfrac{\pi}{8} [\dfrac{x^5}{5}]^1_0 = \dfrac{\pi 1^4}{40} = \dfrac{\pi}{40}[/tex] (in cubic units).

Thus, the volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]

Learn more about volume of three dimensional region here:

https://brainly.com/question/338504

Answer:

the corrct answer is C

Step-by-step explanation:

got it correct

9514 1404 393

Answer:

  3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

  small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

  small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

Answer:

Answer:

I = $ 1,937.50

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

I hope this is correct and hope it helps!

Answer:

c.1/4 of a bag

cuz half of 1/2 is 1/4

Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ‍♀️

Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

-7x + 2(-7x + 8) = -5

-7x - 14x + 16 = -5

-21x = -21

x - 1

y = -7(1) + 8

y = 1

Answer:

a. vertical

b. horizontal

c. horizontal

d. vertical

Step-by-step explanation:

if the x coordinate changes it's horizontal and if the y coordinate changes it's vertical

Answer:

Step-by-step explanation:

There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.

  A = A . . . . reflexive property

  A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)

  A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)

__

Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.

The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.

Answer:

One-third of the volume

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = (1/3)πr²h

Step-by-step explanation:

Rewrite the function as an equation.

[tex]y = - \frac{x}{3} + 8[/tex]

Rewrite in slope-intercept form.

[tex]y = - \frac{1}{3} x + 8[/tex]

Use the slope-intercept form to find the  slope  and  y-intercept.

Slope : - 1/3

y-intercept: (0,8)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Answer:

6  5

Step-by-step explanation:

4 5  6 7

Answer:

15.70

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10

Sub: a = (3.14)r²

Find r.

r = 10/2

r = 5

Sub: a = (3.14)5²

Simplify: a = (3.14)25

Solve: a = 78.5

The answer is 78.5.

If this truly helped you, help me out by thanking me.

-Xax.

Answer:

ball-x2-y2-z2-r2--n-dimensions-represent-ball-hypersphere-s-q7037775 ... -feet-rectangular-field-divide-half-fence-middle-pa-q7037837 0.8 2015-06-26 ... -thrown-vertically-upward-initial-velocity-v-original-position-s-height-h-time-t- ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given triangular prism with:

Total surface area is:

Considering all given values we have:

5-|p+6|=-8

5-distance=-8= distance of them= 13

|p+6|=13

distance between/from p and -6

= -19 or 7,

So

Please Make me the brainliest pls

Answer:

The answer is the 3rd dot.

Step-by-step explanation:

hope this helps

Answer:

The one right below 8

Step-by-step explanation:

Answer:

7/39-1/42= 85/546

Step-by-step explanation:

so its 85/546

Answer:

7/39 1/42

so it's 85/546

Answer:

[tex](\dfrac{25}{1024})^x[/tex]

Step-by-step explanation:

The given expression is :

[tex](\dfrac{32}{5})^{-2x}[/tex]

We need to rewrite it in the form of [tex]A^x[/tex].

We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]

So,

[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]

So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.

Answer: A = (32/5)^-2

Step-by-step explanation:

Answer:

she can buy 13

please brainliest or hear

Answer:

She can order 7 DVDS

Step-by-step explanation:

8.49 x 7 = 59.43

59.43 + 5 = 64.43.

Answer:

Step-by-step explanation:

D I did this before

Answer:

A

Step-by-step explanation:

Look at the y axis and find the highest point.

Answer:

I believe it would be a: y=30; The maximum height...

Step-by-step explanation:

It's where the line would be, and describes exactly where the line of symmetry would be. Hope this helps :)

Answer:

Step-by-step explanation:

12 : 16

Both have 4 in common

3 : 4

72 : 96

Both have 12 in common

6 : 8

Both have 2 in common

3 : 4

So both the ratios are equivalent

Answer:

Sample number 3

Step-by-step explanation:

From the given information:

Sample                   Service life(hours)                Total        Mean(X)

                     1               2            3           4

1                 495         500       505       500       2000        500

2                 525         515       505       515         2060        515

3                 470         480       460       470        1880          470

Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]

Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]

Thus;

[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]

To plot on an X_Bar chart, we have:

Sample        Mean (X)     UCL        LCL

1                      500           520        480

5                     515            520        480

6                     470            520        480

The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.