A cylinder shaped container is used to hold watef . This cylinder has a height of 12 inches and a diameter of 7 inches . A spherical ball with a diameter of 6 inches is dropped into the container . Explain how the ball changes the volhme of the water the container can hold and calculate the amount of water the cylinder can hold after the ball is dropped into the cylinder . Let pi = 3.14

Answer:

hi thanks for the points

Answer:

a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Step-by-step explanation:

Original equation: w=3(2a+b)-4

1. Distribute the 3 to the numbers inside parenthesis to get:

    w=6a+3b-4

2. Subtract 6a from both sides to get:

    -6a+w=3b-4

3. Subtract w from both sides to get:

    -6a=3b-4-w

4. Divide both sides by -6 and simplify to get:

    a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Answer:

5) x

6) -7

7) 3

Step-by-step explanation:

if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3)) = 3 + (4x² - 15x - 4) / ((x² + 4) (x - 3))

Now decompose the remainder term into partial fractions:

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = (ax + b) / (x² + 4) + c / (x - 3)

Multiply both sides by the denominator on the left:

4x² - 15x - 4 = (ax + b) (x - 3) + c (x² + 4)

Expand the right side:

4x² - 15x - 4 = ax² + (b - 3a) x - 3b + cx² + 4c

4x² - 15x - 4 = (a + c) x² + (b - 3a) x - 3b + 4c

Then

a + c = 4

b - 3a = -15

-3b + 4c = -4

Solve this system to get

a = 5, b = 0, c = -1

We end up with

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = 5x / (x² + 4) - 1 / (x - 3)

and so

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3))

= 3 + 5x / (x² + 4) - 1 / (x - 3)

Answer:

Yes

Step-by-step explanation:

This is rational because its in a pattern that is repeating

Answer:

A. How to determine the constant

  Let the total cost be C

   Let the number of acres be A

From the question given above,

C ∝ A

C = KA

K = C / A

   Total cost (C) = $ 551520

   Number of acres (A) = 20 acres

   Conctant (K) =?

K = C / A

K = 551520 / 20

K =  27576 dollar/acre

B. How to determine the number of acres

   Total cost (C) = $ 441216

   Constant (K) =  27576 dollar/acre

   Number of acres (A) =?

C = KA

Divide both side by K

A = C / K

A = 441216 / 27576

A = 16 acres

Answer:

27,576 and 16

Step-by-step explanation:

edge

3.6

2.1(2.1) - 0.9(0.9)

4.41 - 0.81 = 3.6

Answer:

60 baseball and 20 football

Step-by-step explanation:

Answer:

f+1/4= -7/2

f= 15/4 or -3 3/4 as a mixed number

Hope this helps.... Stay safe and have a great week!! :D

Answer:

it A

Step-by-step explanation:

tan c=opp c/adj c

tan c=7/16

tan c=0.44

Answer:

D

Step-by-step explanation:

The tangent of C = opposite (7) over the adjacent (18)

Tan C = 7/18

Tan C = 0.388

The closest answer is D

Answer:

y = x + 1

Step-by-step explanation:

x - y = 1

-y = 1 - x

(-1) -y = -1 (1 - x)

y = x + 1

Answer:

-1/2 is the work

Step-by-step explanation:

hope this helped

Answer:

since it bisects angles 1 and 2 this makes them equivalent to each other

angle 1 = angle 2

and if angle 1 is equal to angle 3 than angle 2 must also be equal to angle 3

Answer:

I believe the answer is the 3rd choice witch would be c

Answer: x=5.75

Step-by-step explanation:

4x+5=28

subtract 5 from both sides

4x=23

divide both sides by 4

x=5.75

In the given figure it looks like rhombus , so we know that all sides of rhombus are equal

Thus

FG=EG

28=4x+5

28-5=4x

23=4x

x=23/4

The mathematical statement as an expression is 3/w - v

The mathematical statement is given as

v fewer than the quotient of 3 and w

The quotient of numbers means division

So, we have

v fewer than the 3/w

V fewer than means - v

So, we have

3/w - v

Hence, the mathematical statement as an expression is 3/w - v

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13. 5m-10

14. 8y+16

15. -3m-12

16. a^2+3a

17. h^2-2h

18. 2m^2+8m

19. -2z+16

20. -4x^2+40

Answer:

1) Subtraction Property of Equality

2) Multiplication Property of Equality

3) Addition Property of Equality

4) Division Property of Equality

Step-by-step explanation:

We proceed to present the correct answer to this question and explain the reason behind the election of each option below:

1) [tex](6+3)-3 = 9 - 3[/tex] Subtraction Property of Equality

Reason - Subtraction is a particular form of addition based on the consideration of the existence of additive inverses. The subtraction property of equality is defined as:  [tex]a = b[/tex] if and only if  [tex]a+(-c) = b+(-c)[/tex].

2) [tex](6+3)\times 3 = 9 \times 3[/tex] Multiplication Property of Equality

Reason - The multiplication property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c = b\cdot c[/tex].

3) [tex](6+3)+3 = 9+3[/tex] Addition Property of Equality

Reason - The addition property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a+c = b+c[/tex].

4) [tex](6+3)\div 3 = 9 \div 3[/tex] Division Property of Equality

Reason - The division is a particular form of multiplication based on the consideration of the existence of multiplicative inverses. The division property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c^{-1} = b\cdot c^{-1}[/tex].

50% or 1/6

Its because half the numbers would be even.

Answer:

3 pizzas

Step-by-step explanation:

34-4=30

30/10=3

Answer:

3 pizzas

Step-by-step explanation:

34-4=30 since we already know the delivery fee

30/10=3 since we have 30 dollars left without the delivery fee we are just left to divide 30 by 10 to get the total number of pizzas

Answer:

m = -72

Step-by-step explanation:

m = 6

36 - 6m,

36 - 6(6)

using pemdas, you get 36 - 36,

-36, + -36

and you get -72,

so m = -72

hope this helps

Answer:

i love pidddd

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The first two problems can be solved in your head by working backward from the end result.

__

1. After 3/2 is added, the result is 4. Then we must be adding 3/2 to 4 -3/2 = 5/2. We notice that 5/2 already has the numerator 3 more than the denominator, so the fraction of interest is 5/2.

__

2. If 3/8 is added to a number giving a result of 1, the number must be 1 -3/8 = 5/8. That is 5 times 1/8. The number of interest is the reciprocal of 1/8, so is 8.

__

3. Let x represent the speed of the faster car. Then x-3 is the speed of the slower car, and the two times are ...

  time = distance/speed

  390/x = 372/(x-3)

  390(x -3) = 372x . . . cross multiply

  18x = 1170 . . . . . . . add 1170-372x

  x =  65 . . . . . . . . . . divide by 18

The speeds of the cars are 65 mph and 62 mph.

Answer:

C.

Step-by-step explanation:

cytosine and guanine are 2 of the 4 main chemical bases in DNA

Can I have brainly?

Answer:

-3x-11x²+7

Step-by-step explanation:

The location of the x value of R' after using the translation rule is 28

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

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An equation of the parabola with focus (2, 2) and vertex (2, 6) is  mathematically given as

(x-2)^2=-16(y-6)

This is further explained below.

Generally, A planar curve that is mirror-symmetrical and has an approximation of the form of the letter U is called a parabola.

It agrees with a number of mathematical descriptions that, at first glance, seem to be very distinct from one another, but which can be shown to describe the same curves. A point and a line are two components that may be used to describe a parabola.

In conclusion, It can be shown theoretically that the equation of the parabola with focus (2, 2) and vertex (2, 6) is as follows:

(x-2)^2=-16(y-6)

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For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Please let me know if you have any other questions

The value of tan(2x) will be -1.333.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given that,

cosx = 1/√5

x = 63.435°

Now tan2x = tan2(63.435)

tan(126.87) =-1.333

Hence the correct answer to the given question will be -1.33.

For more information about the trigonometric function

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Answer:

y = 40             x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y     and   x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

40 = y

x = 120-y

x = 120-(40)

x = 80

here's a graph