Three tennis balls are stored in a cylindrical can with
a height of 8 inches and a radius of 2 inches. Each
tennis ball has a radius of 1 inch. What is the
amount of volume not taken up by the tennis balls
in the can? Use 3.14 for n. Round your answer to the
nearest tenth.
4 in

[tex]3 {x}^{5} + 2 {x}^{3} + x + {x}^{2} - 2x + 5 = [/tex]

[tex]3 {x}^{5} + 2 {x}^{3} + {x}^{2} - x + 5[/tex]

Answer:

3x⁵ + 2x³ + x² -x + 5

Step-by-step explanation:

(3x⁵ + 2x³ + x) - (-x² + 2x - 5) <== multiply to remove the parenthesis

1(3x⁵ + 2x³ + x) - 1(-x² + 2x - 5)

1(3x⁵) + 1(2x³) + 1(x) + -1(-x²) + -1(2x) + -1(-5) <== remember multiplying 2 negatives, makes a positive

3x⁵ + 2x³ + x + x² - 2x + 5 <== combine any like terms

3x⁵ + 2x³ + x² -x + 5 <== make sure that your answer is in Standard form (in decreasing degrees)

Hope this helps!

Answer:

x = 5, x = 7

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x² - 12x + 35 = 0 ( subtract 35 from both sides )

x² - 12x = - 35

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 35 + 36

(x - 6)² = 1 ( take the square root of both sides )

x - 6 = ± [tex]\sqrt{1}[/tex] = ± 1 ( add 6 to both sides )

x = 6 ± 1

then

x = 6 - 1 = 5

x = 6 + 1 = 7

Answer:

1/x + 6 = 2/3

x is the number, so there it has to be switched if a reciprocal happens. :) hope this helps

Answer:

7+2g

Step-by-step explanation:

7 increased by means 7 +

twice Gali's height =2g

everything now becomes 7+2g

The total surface area of surface 3 rectangular surfaces to be covered with foam padding is 36 ft²

The area is the amount of space occupied by a two dimensional shape or object.

Area of rectangle = length * width

Area of surface A = 1 ft * 4.5 ft = 4.5 ft²

Area of surface B = 0.5 ft * 4.5 ft = 2.25 ft²

Area of surface C = 6.5 ft * 4.5 ft = 29.25 ft²

Total area = 29.25 + 2.25 + 4.5 = 36 ft²

The total surface area of surface 3 rectangular surfaces to be covered with foam padding is 36 ft²

Find out more on area at: https://brainly.com/question/25292087

Answer:

2

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Since this an isosceles triangle we can say the length of AB = AC

2x - 1 = x + 7

2x - x = 7 + 1

x = 8

The perimeter is calculated by adding all side lengths

2x - 1 + x + 7 + x - 4 = Area add like terms

4x + 2 = Area replace x with the value we found

4*8+2 = 34 units square

Answer:

87%

Step-by-step explanation:

13920/16000=0.87=87%

Answer:

Thus, the total food can be eaten by the cat in 4 weeks.Total weight of a bag of cat food = 3 lbs.The number of lbs the cat eats the food = 3/4 lbs each week.We need to find the number of weeks does one bag that is 3 lbs last.Now, the total food we have is 3 and cats eat 1/4th of total food each week.Thus, the total food can be eaten by the cat in 4 weeks.To know more about it, please refer to the link:brainly.com/question/12457996

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

9 is the answer

PLS TYPE 9

Step-by-step explanation:

99999

Answer: It's A bro

Step-by-step explanation: if you get the brainly app on your phone you can take pics and use that to solve it that's what I did

There are 40,320 ways, in which 8 books can be arranged on a shelf.

Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.

Permutations :

➲ P ( n, r )= n ! / ( n - r ) !

The number of ways to arrange 8 books on a shelf will be :

➝ P ( n, r ) = n ! / ( n - r ) !

➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !

➝ P ( n, r ) = 8 ! / 0 !

➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1

➝ P ( n, r ) = 40, 320

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !

If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.

I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.

Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:

8 ! = 40 , 320 .

Perimeter of square

Perimeter of two sides of triangle:-

Perimeter of circle excluding diameter line

Total perimeter

Answer: 6 cm, 11 cm, 12 cm

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

The photo might help.

If anything is not understandable I'm here to help :)

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{2\sqrt{6}}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-3]^2~~ + ~~[y-(-3)]^2~~ = ~~(2\sqrt{6})^2\implies (x-3)^2+(y+3)^2=24[/tex]

Answer:

Search it up on the internet

Step-by-step explanation:

hope this helps

Answer:

(x-8)^2+(y+8)^2=7

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

Substitute h, k, and r for 8, -8, and √7, respectively.

(x-(8))^2+(y-(-8))^2=(√7)^2

The two negatives in y - (-8) causes it to be a +8.  Squaring √7 will make it 7.

Answer:

Step-by-step explanation:

The sides of the triangle in the middle are equal to x so tis is equilateral triangle.

Its interior angle is 60°.

Each shaded part is the area of 60° segment of circle with the radius x.

The area of each segment is the difference between 60° sector and the area of triangle.

Area of sector

Area of triangle

The shaded area is

Answer:

3

Step-by-step explanation:

Using the slope concept, it is found that the height of the drone is of about 94 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]

[tex]h - 5 = 89[/tex]

[tex]h = 94[/tex]

The height of the drone is of about 94 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

The lateral surface area of the given cylinder of radius 10cm and height of 5cm is 314cm sq.

For a right circular cylinder of radius r and height h, the lateral surface area is the product of diameter to the height and pie.

The lateral surface area of the cylinder = 2πrh

Let assume Radius, r = 10

Height, h = 5.

The lateral surface area of the cylinder = 2πrh

       = 2 × 3.14 × 10 × 5

       =  314cm sq.

Read more about cylinders;

brainly.com/question/9554871

Answer: it’s a

Step-by-step explanation:

The reason why i said it’s a is because I did this before.

Answer:

Step-by-step explanation:

Let

According to question we have equations

Find the number of students by substitution

Find the number of apples

Answer:

14 apples

Step-by-step explanation:

Let x = number of students

Let y = total number of apples

Create a system of equations with the given information.

Equation 1

If she gave each student 3 apples, she would have 2 apples left:

⇒ y - 3x = 2

Equation 2

If she gave each students 4 apples each she would be 2 short:

⇒ y - 4x = -2

Rewrite Equation 1 to make y the subject:

⇒ y = 2 + 3x

Substitute this into Equation 2 and solve for x:

⇒ (2 + 3x) - 4x = -2

⇒ 2 + 3x - 4x = -2

⇒ 2 - x = -2

⇒ -x = -4

⇒ x = 4

Substitute the found value of x into the rewritten Equation 1 and solve for y:

⇒ y = 2 + 3(4)

⇒ y = 2 + 12

⇒ y = 14

Therefore, Mrs Reyes had 14 apples.

Answer:

  f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}

Step-by-step explanation:

To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.

__

The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.

The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.

The first piece can be written ...

  f(x) = x-3 for x ≤ -1

__

The domain is shown as 5 to ∞, with 5 not included.

The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...

  y -(-1) = -3(x -5)

  y = -3x +15 -1 = -3x +14

The second piece can be written ...

  f(x) = -3x +14 for x > 5

__

Putting these pieces together, we have ...

  [tex]\boxed{f(x)=\begin{cases}x-3&\text{for }x\le-1\\-3x+14&\text{for }5 < x\end{cases}}[/tex]

_____

Additional comment

Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, x > 5.

Step-by-step explanation:

Since radii of a circle are congruent, UT is congruent to WT.

Since angles opposite congruent sides in a triangle are congruent, angles UWT and WUT are congruent.

This means the measure of UTV is 180-57-57=66 degrees