Three balls are placed in a row on a thin metal rod through a hole in the center of each ball. the middle ball is touching both of the other balls. the diameter of the balls 3,4, and 5 inches. of the following, which is closest to the greatest possible distance between the center of any two of the balls?​

Answer:

3x^3 + 12x^2 - 45x

Step-by-step explanation:

Multiply 3x with x^2 then 4x and then -15 in order

3x × x^2 = 3x^3

3x × 4x = 12x^2

3x × (-15) = -45x now add the expressions

3x^3 + 12x^2 - 45x

Answer:

it should be 80

Step-by-step explanation:

100 squared is 10

400 squared is 20

80 does not have an exact answer 8.944 so it is 80

Answer:

Graph the line  

y = 2 x − 4

After you have plotted the line, shade in the area to right of the line.

To help you to graph the line, two points are  

( 0 , − 4 )  and  ( 2, 0 )

Remember to make it a dashed line to indicate that it is not included.

Here is a how it should look:

[tex]\boxed{27.422}[/tex]

We will use order of operations to add and subtract from left to right to solve this equation.

26.8 + 0.65 = 27.45

The equation now looks like:

27.45 - 0.028 = 27.422

Therefore, your answer is 27.422.

Answer:

ok so

  26.8

+   0.65

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

  27.45

-    0.028

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

27.422

Step-by-step explanation:

uhh just math

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

[tex]Distance = Speed \times Time[/tex]

Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs

Speed = 22 mph

[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.

Answer:

Step-by-step explanation:

X X X X . X X X

   ^ this is the hundreds place

X X X X . X X X

                   ^ this is the hundredths place

a) 300 Because the place behind it is less than 5.

b) 1300 The place in the tens is 5 or greater.

c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.

d) 1,100

e) 700

Answer:

The answer is

Step-by-step explanation:

x² - 5 = 0

Using the quadratic formula

That's

Solve the equation

From the question

a = 1 , b = 0 , c = 5

So we have

We have the final answer as

Hope this helps you

Answer:

Irrational

Step-by-step explanation:

Unless a radical solves out to be a whole number, rads are irrational.

Answer:

√23 is an Irrational Number

Step-by-step explanation:

√23 = 4.79 is not a pefect square so its an irrational number

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 1 }}}}}[/tex]

Step-by-step explanation:

Given, f( x ) = 2x - 3

Here, we assume the value of x as 1

Now, Finding f ( 1 )

[tex] \sf{f(1) = 2 \times 1 - 3}[/tex]

Multiply the numbers : 2 and 1

⇒[tex] \sf{f(1) = 2 - 3}[/tex]

Subtract the numbers : 3 from 2

⇒[tex] \sf{f(1) = - 1}[/tex]

Hope I helped!

Best regards!!

Answer: f = -6

Step-by-step explanation:

Remove parentheses

f= -2*3

f= -6

Answer:

so the problem is saying 42x-10.36 so it's just saying take 10.36 away from 42 multiplied by X

Step-by-step explanation:

Answer: First we will substitute the numbers in place of the variables in the equation, and then we will use order of operations to solve.

7x + 6y would be equal to:

7(2) + 6(10)

Now we will perform the multiplication:

7 * 2 = 14

6 * 10 = 60

The equation now looks like:

14 + 60

This is equal to 74. Your answer is therefore 74.

Hi there! Hopefully this helps!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First we need to evaluate the variables into the expression.

7x + 6y = 7(2) + 6(10).

6 x 10 = 60

7 x 2 = 14.

60 + 14 = 74

Answer:

A

Step-by-step explanation:

It’s the opposite

Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.

Step-by-step explanation:

So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.

Hence, your answer.

Answer:

y = x² - 2

Step-by-step explanation:

Quadratic Parent Function: y = a(bx + h)² + k

k = vertical movement up/down

Since we are only dealing with a vertical shift down, we are only modifying variable k

k = -2

y = x²

y = x² - 2

Answer:

36

Step-by-step explanation:

F1 = 1

F2 = 1 + 2

F3 = 1 + 2 + 3

--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:

F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2

So, 8th figure has:

F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36

Answer:

x≥ -3

Step-by-step explanation:

The domain is the values that x can take

g(x) = sqrt( x+3)

This must be greater than or equal to zero

x+3  must be greater than or equal to zero

x must be greater than or equal to -3

x≥ -3

Answer:

Step-by-step explanation:

7y^2 - 3y - 4y^2 -2y + 2

3y^2 - 5y + 2

Answer:

8- b=79

9- b=23

10- b=67

8.)

[tex]37 = n - 42[/tex]

Add 42 to both sides of the equal sign to isolate the variable (n).

[tex]79 = n[/tex]

9.)

[tex]b + 62 = 85[/tex]

Subtract 62 from both sides of the equal sign to isolate the variable (b).

[tex]b = 23[/tex]

10.)

[tex]92 = 25 + l[/tex]

Subtract 25 from both sides of the equal sign to isolate the variable (l).

[tex]67 = l[/tex]

Answer:

-3

Step-by-step explanation:

-7x=-2x+15

collect like terms

-7x+2x=15

-5x=15

divide both sides by -5

x=15/-5

x=-3

Answer:

Cross multiply:

2 * 4 = 7 * r

Simplifying

2 * 4 = 7 * r

Multiply 2 * 4

8 = 7 * r

Solving

8 = 7r

Hope this helps.

Answer:

0.55x+4<=25

Step-by-step explanation:

It would be 0.55x because x is the number of bananas and 0.55 is the cost and the 4 represents the $4 she spent for a papaya. The 25 is the amount of money she has so it says less than or equal to because she only has so much money.

Answer:

$271.00. Remember to put it in the right format

Step-by-step explanation:

So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.

Now to find the amount of money for the miles, we can do 730*0.20=146

Now we add those two amounts so we do 125+146=271.

So $271.00

Step-by-step explanation:

[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]

Answer/Step-by-step explanation:

Relationship of angle pairs considering the given diagram are as follows:

1. <d and <e are alternate interior angles. They are opposite inner sides of the transversal.

2. <e and <h are vertically opposite angles. They share the same vertex (corner) formed by the two line that crossed.

3. <a and <e are corresponding angles. They occupy the same position as a line crosses the other two lines together.

4. <c and <d are a linear pair. They are angles on a straight line and are supplementary.

The relationships between the angle pairs are:

1. Angle d and angle e are alternate interior angles.

2. Angle e and angle h are vertically opposite angles.

3. Angle a and angle e are corresponding angles.

4. Angle c and angle d form a linear pair.

The relationships between the angle pairs in the given diagram can be described as follows:

1. Angle d and angle e are alternate interior angles.

They are located on opposite sides of the transversal and inside the pair of lines.

2. Angle e and angle h are vertically opposite angles.

They are formed at the same vertex (corner) where the two intersecting lines meet.

3. Angle a and angle e are corresponding angles.

They are positioned in the same relative location as a line intersects the other two lines simultaneously.

4. Angle c and angle d form a linear pair.

They are adjacent angles on a straight line and add up to 180 degrees, making them supplementary.

Learn more about Parallel line here:

https://brainly.com/question/29762825

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Answer:

yes

Step-by-step explanation:

Any number that can be written in p/q from is a rational number

Answer:

4 i - 5

Step-by-step explanation:

Simplify the following:

4 + 12 i - 9 - 8 i

Hint: | Evaluate 4 + 12 i - 9 - 8 i.

4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:

Answer:  4 i - 5

Answer:

n = -3

Step-by-step explanation:

Original Equation:

11 (n-1) + 35 = 3n

Distributive Property:

11n + 24 = 3n

Subtract 24 from both sides:

11n + 24 - 24 = 3n - 24

Simplify:

11n = 3n - 24

Subtract 3n from both sides:

11n - 3n = 3n - 24 - 3n

Simplify:

8n = -24

Divide both sides by 8:

[tex] \frac{8n}{8} = \frac{ - 24}{8} [/tex]

Simplify:

n = -3

Answer:

n=-3

Step-by-step explanation:

Answer:

Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.

Part B: y=8d+12b

Step-by-step explanation: