Find the volume of the cylinder.
Enter exact answer.

Answer:

[tex]a_0 = -8[/tex]

[tex]a_1=-6[/tex]

[tex]x^2 +y^2 -8x - 6y = 0[/tex]

Step-by-step explanation:

The equation of the circle has the following form

[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]

The equation of the circle has the following form

We know that the circle goes through the following points

(1, 7)

(8, 6)

(7, -1).

Then we substitute the values of x and y in the equation

For (1, 7)

[tex](1)^2 + (7)^2 + a_0(1) + a_1(7)=0[/tex]

[tex]1 + 49 + a_0 + 7a_1=0[/tex]

[tex]a_0 + 7a_1=-50[/tex]    (1)

For  (8, 6)

[tex](8)^2 + (6)^2 + a_0(8) + a_1(6)=0[/tex]

[tex]64 + 36 + 8a_0 + 6a_1=0[/tex]

[tex]8a_0 + 6a_1= -100[/tex]    (2)

With these equations is enough to solve the system

[tex]a_0 + 7a_1=-50[/tex]    (1)

[tex]8a_0 + 6a_1= -100[/tex]    (2)

Multiply the equation (1) by -8 and add it to the equation (2)

[tex]-8a_0 - 56a_1=400[/tex]    (1)

[tex]8a_0 + 6a_1= -100[/tex]    (2)

-----------------------------------------------------

[tex]-50a_1 = 300\\\\a_1 = -6[/tex]

Then

[tex]a_0 + 7(-6) = -50\\\\a_0 = -50+42\\\\a_0=-8[/tex]

Finally the equation is:

[tex]x^2 +y^2 -8x - 6y = 0[/tex]

Hello There!

Answer:

8.6

Step-by-step explanation:

first you add all the numbers, then divide by 3 and you get 8.6.

Answer:

P (blue | black) = 0.151

Step-by-step explanation:

We know that there are 14 blue pens, 7 black pens and 5 red pens in Mrs. Johnson's desk drawer.

We are to find the probability of getting a blue pen and then a black pen when choosing two pens randomly without replacement.

Total pens = 14 + 7 + 5 = 26

P (blue pen) = 14/26

P (black pen) = 7/25

P (blue | black) = 14/26 * 7/25 = 49/325 or 0.151

Answer:

y = (3/5)x + 3

Step-by-step explanation:

You can see immediately that the y-intercept is (0, 3).

As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3.  Thus, the slope of this line is m = rise / run = 3/5.

Starting with the generic y = mx + b, we get y = (3/5)x + 3.

Answer:

Y=3/2x-3

Step-by-step explanation:

3/2 is the slope. Remember, rise/run. so the rise is 3 and the run is 2. so up three since its positive and right 2 cuz its positive. and the -3 is the y inercept. hope this helps love :)

For -4+2 you’d start at -4 then add two headed to the positive side

The sum of the expression -4 + 2 - 4 - 2 is shown on the number line that is negative 8.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression is given below.

⇒ -4 + 2 - 4 - 2

Firstly, subtract 4 from zero, then the line goes from zero to negative 4.

Secondly, add 2 from -4, then the line goes from negative 4 to -2.

Thirdly, subtract 4 from -2, then the line goes from negative 2 to -6.

And finally, subtract 2 from -6, then the line goes from negative 6 to -8.

Thus, the sum of the expression -4 + 2 - 4 - 2 is shown on the number line that is negative 8.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

C

Step-by-step explanation:

You count the boxes lol

Answer: C) 15 units 2

Step-by-step explanation: Count the number of squares! It is super easy!

Answer:

a bunch of fat including sodium which is very unhealthy. it does have protein though. As well as some vitamins and some lettuce and tomatoes which is good for Vitamin C and B.

Step-by-step explanation:

Answer:

8,000 cubic mm

Step-by-step explanation:

the formula is to multiply the volume value by 1000

so 8 times 1000 is 8000

Answer:

shipping cost $6 for a small box and $11 for a medium box

Step-by-step explanation:

The question is on formation of simultaneous equations

Anna shipped 10sb + 6mb =$126

Jeffrey shipped 5sb + 6mb=$96

Let small boxes,sb, be represented by x

Let medium boxes, mb, be represented by y

Equations

10x+6y=126------------------------(a)

5x+6y=96.......................................eliminate y by subtraction

5x=30.................................................divide by 5 to remain with x

x=30/5= 6......................................substitute value of x in equation (a)

(10×6) + 6y =126

60+6y=126

6y=126-60

6y=66..............................................divide by 6 both sides to get y

y=66/6= 11

Solution

x=6 and y=11

shipping cost $6 for a small box and $11 for a medium box

Volume of tissue box with 17 cm height and 8 cm side length base is 1088 cubic centimeters.

To find the volume of the tissue box, you can use the formula for the volume of a rectangular prism:

Volume = Base Area × Height

Since the base of the tissue box is a square, you can find the area of the base by squaring the side length:

Base Area = Side Length^2

Then, you multiply the base area by the height of the tissue box:

Volume = Base Area × Height

Let's plug in the values:

Side Length = 8 cm

Height = 17 cm

First, find the base area:

Base Area = 8 cm × 8 cm = 64 cm²

Then, calculate the volume:

Volume = 64 cm² × 17 cm = 1088 cm³

So, the volume of the tissue box is 1088 cubic centimeters.

The complete question is here:

A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm. What is the volume of a box of tissue?

All of them could be as A would be an equilateral B,C,D would be irregular triangles and 3 would be an Isosceles triangle but if you had to go with one it would be A

Answer: the answer is going to be A like other guy said was true

Step-by-step explanation: A

Answer:  Option B

[tex]F (x) = x ^ 4-x ^ 2 + 4[/tex]

Step-by-step explanation:

We have the function [tex]G (x) = x ^ 4-x ^ 2[/tex] and we know that it contains the point (0,0). That is, it cuts the y axis and y = 0

Then the graph of F(x) is shown in the image and we know that it is a transformation of F(x).

The function F(x) cuts the y axis and y = 4.

For this reason we can conclude that the function F(x) is the function G(x) displaced 4 units upwards.

The transformation that shifts the graph of a function k units upwards is:

[tex]F (x) = G (x) + k[/tex]

Where [tex]k> 0[/tex].

In this case k = 4. Therefore:

[tex]F (x) = G (x) +4\\\\F (x) = x ^ 4-x ^ 2 + 4[/tex]

The answer is Option B

Hello There!

"Adjacent Angles" Adjacent angles are adjacent when they have a common side and a common vertex. Adjacent angles do not overlap.

"Congruent Angles" They have the same angle in degrees or radian.

"Complementary Angles" These are angles that add up to 90 degrees.

"Vertical Angles" Angles that are opposite of each-other. These are formed by intersecting lines.

"Perpendicular Lines" Lines that are at right angles (90°) to each other.

"Supplementary Angles" Two angles that add up to 180 degrees.

HAVE A GREAT DAY!

Answer:(0,-4) , (0,0)

Step-by-step explanation:

It,s where the line intercepts on the graph on the x and y axis

Answer:

The intercepts are where the line passes either the x-axis or y-axis. So depending on which intercepts you're looking for, the intercepts on the x-intercepts (x-axis) are (-4,0) and (0,0). the y-intercepts (y-axis) is (0,0).

Step-by-step explanation:

Answer:

We can go 15 nautical miles

Step-by-step explanation:

We can use a ratio to solve.  Put the number of nautical miles over the minutes

19 miles          x miles

-----------         = ------------- --

304 minutes      240 minutes

Using cross products

19*240 = 304x

4560=304x

Divide each side by 304

4560/304 = 304x/304

15=x

We can go 15 nautical miles

Answer:

B.

Step-by-step explanation:

B. The girl would have to use less force because she is using a simple machine, or a lever. The lever makes it easier to lift the rock because the rock is closer to the fulcrum.

Answer:

A reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (-x, y)

A point in the second quadrant (- x, y)

Under reflection in the y- axis is (x, y) ← point in first quadrant

Answer:

A reflection across the y-axis.

Step-by-step explanation:

If it was across the x-axis, the point would have gone into Quadrant III.

The y-axis is vertical, and it was moved into Quadrant I from Quadrant II making it a vertical reflection which is a reflection from the y-axis.

Answer:

The determinant of the matrix for the pineapple cake is $4350 ⇒  c

The determinant of the matrix for the chocolate cake is $5075 ⇒  c

Step-by-step explanation:

* Look to the attached file

Answer:

Step-by-step explanation:

It is C.

Volume-πr^2h

r-11

h-15

11^2*15

=1815π

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the radius of the cylinder is 11 units and the height of the cylinder is 5 units.

The volume of the cylinder is

[tex]V=\pi r^2h[/tex]

Where, r is radius and h is height.

Substitute x=11 and h=15 in the above formula.

[tex]V=\pi \times (11)^2\times (15)[/tex]

[tex]V=\pi \times 121\times (15)[/tex]

[tex]V=1815\pi[/tex]

The volume of the cylinder is 1815π unit³.

Therefore the correct option is C.

Answer:

Yes

No

No

Yes

No

Step-by-step explanation:

The given expression is [tex]\sqrt[5]{(2x^{3})^{2}  }[/tex]

This can be rewritten as

[tex]\sqrt[5]{4x^{6} }[/tex]

Then an x can be factored out to give you

[tex]x\sqrt[5]{4x}[/tex]

Answer:

1.Yes

2.No

3.No

4.Yes

5.No

Step-by-step explanation:

I am pretty sure the answer would be (a)

Answer:

250 cubic cm

Step-by-step explanation:

First step is to measure the volume of the rectangular prism... which is easy... it's the width * length * height.  Since we have a square base, the width and length are the same: 5 cm.  The volume is then: 5 * 5* 12 = 300 cubic cm.

The volume of a pyramid is obtained by the following formula:

V = (1/3) * base_area * height

We have the base area (5 * 5 = 25) and we have the height: 6 cm (half of 12 cm).

So, the volume of the pyramid is:

V = (1/3) * 25 * 6 = (1/3) * 150 = 50 cubic cm

The volume inside the prism but OUTSIDE the pyramid is then the volume of the prism (300 cubic cm) - the volume of the pyramid (50 cubic cm), so 250 cubic cm.

Answer:

Option C.

The zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

we have

[tex]g(x)=x^{2}-576[/tex]

we know that

To find the zeros, equate the equation to zero

[tex]x^{2}-576=0[/tex]

[tex]x^{2}=576[/tex]

square root both sides

[tex]x=(+/-)24[/tex]

therefore

[tex]0=(x+24)(x-24)[/tex]

Answer:

C. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Answer:

The weight of the larger marble paperweight is 4.05 lb

Step-by-step explanation:

we know that

If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube

Remember that the scale factor is the ratio between corresponding sides

Let

z ------> the scale factor

x -----> the weight of the larger marble paperweight

y -----> the weight of the original marble paperweight

[tex]z^{3} =\frac{x}{y}[/tex]

In this problem we have

[tex]z=3[/tex]

[tex]y=0.15\ lb[/tex]

substitute and solve for x

[tex]3^{3} =\frac{x}{0.15}[/tex]

[tex]x=(27)(0.15)=4.05\ lb[/tex]

therefore

The weight of the larger marble paperweight is 4.05 lb

Answer:

The distance between two points is √169 or 13.

Step-by-step explanation:

In the question we need to find the distance between two points 5,6 and 0,-6 given.

Distance between two points can be found using the formula:

[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]

Putting the given points in the formula we get,

x₂ = 0, x₁ = 5, y₂= -6, y₁= 6

[tex]=\sqrt{(0-(5))^2 + (-6-(6))^2} \\=\sqrt{(0-5)^2 + (-6-6)^2}\\=\sqrt{(-5)^2 + (-12)^2}\\=\sqrt{25 + 144}\\=\sqrt{169}\\=13[/tex]

So, the distance between two points is √169 or 13.

If there are 10 orders for every 65 students, and there are 416 students, the total amount of orders would be:

(416/65) x 10

= 64

Therefore, 64 students will order/eat pizza in Miss Jenkins School

The answer is 64 students.

Hope this helps!

Answer:

16 1/8 is the missing side.

Answer:

6 1/8

Step-by-step explanation:

You add the sides to find perimeter

Answer:

Inverse variation

Step-by-step explanation:

Given equation is [tex]y=\frac{3}{x}[/tex].

Now we need to identify the type of variation represented by  [tex]y=\frac{3}{x}[/tex].

We know that there are two type of variations direct and inverse.

If y and x are in direct variation then we write equation as  [tex]y=kx[/tex].

where k is the constant of variation.

If y and x are in inverse variation then we write equation as   [tex]y=\frac{k}{x}[/tex].

Given equation  [tex]y=\frac{3}{x}[/tex] looks similar to  [tex]y=\frac{k}{x}[/tex].

So that means finala answer is "Inverse variation".

Answer:

A. (0, 7)

Step-by-step explanation:

y=7

All values of y are equal to 7.

When x = 0, y = 7

The y intercept is 7

(0,7)

Answer:

14 gallons

Step-by-step explanation:

First determine the amount of miles per gallon her car will go by dividing the amount of miles by the amount of gallons.

228/9.5 = 24 miles per gallon

This means on a trip of 336 miles she will use 14 gallons.

336/24= 14 gallons