What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters

Both the race cars will hit the ground at the same time.

The concept used here is free fall formula which can be defined as . Free fall means that an object is falling freely without a forces acting upon it except gravity, a described constant, g = -9.8 m/s2. The distance the object falls, or height, h, is 1\/2 gravity x the square of the time falling. Velocity is described as gravity x time.

Here the two cars are free falling in the vertical direction and the initial velocity in the vertical direction is zero. So the landing time of both the cars is only related to the height and the acceleration of gravity.

Hence, the cars are falling from the same height, h and g are the same so they take same time to touch the ground.

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Answer: The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. ... Then we need to remember to multiply first, before doing the addition!

Step-by-step explanation: According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer: 31

First, we can break down the number 62.

We will break the number 62 down into 60 + 2.

Now, we will divide the numbers we get after we break down 60.

60 ÷ 2 = 30

2 ÷ 2 = 1

30 + 1 = 31

The answer to your question is 31.

Answer:

Step-by-step explanation:

From triangle BCD:

m∠BCD + m∠CDB + m∠DBC = 180°

67° + 60° + m∠DBC = 180°

m∠DBC = 180° - 127°

An angle ABD is straight angle, so:

m∠ABC + m∠DBC = 180°

m∠ABC +  180° - 127° = 180°

m∠ABC = 127°

Answer:

6y + 11x

Step-by-step explanation:

Let's simplify step-by-step.

6y+4x+7x

Combine Like Terms:

=6y+4x+7x

=(4x+7x)+(6y)

=11x+6y

Answer:The answer would be the first one 6y + 11x

Step-by-step explanation:All you would have to do is do 4x + 7x which would equal 11x. So the answer would be 6y +11x

Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:

''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''

So, I am solving based on this complete question.

Answer:

Please check the explanation.

Step-by-step explanation:

a. Write an equation that represents the situation.

As the cost and the number of guests are proportional.

So the equation of the form

[tex]y = mx[/tex]

Plug in the values y = 30 and x = 4 to find m

[tex]y = mx[/tex]

30 = m (4)

m = 30/4

    = 7.5

Now, substituting m = 7.5 in the equation y=mx

[tex]y = mx[/tex]

[tex]y = 7.5x[/tex]

b) Interpreting Slope

Given that the units for y are dollars, and the units for x are guests.

Thus, the slope 7.5 means it costs $7.5 per guest.

c) How much does it cost to provide food for 10 guests?''

We know the equation

[tex]y = 7.5x[/tex]

put x = 10

y = 7.5(10)

y = $75

Thus, it costs 75 dollars for 10 guests.

Answer:

2 * ? = [tex]7\frac{1}{2}[/tex]

OR

? * 2 = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

The given expression is:

[tex]7\frac{1}{2}[/tex] divided by 2.

The given expression a mixed fraction.

Let the result of the expression be equal to [tex]x[/tex].

Therefore, the expression can be written as:

[tex]7\frac{1}{2} \div 2 = x[/tex] ...... (1)

Multiplying equation (1) by 2:

[tex]7\frac{1}{2} = 2 \times x[/tex]

OR

[tex]7\frac{1}{2} = x \times 2[/tex]

Alternatively, this expression can be written as:

2 * ? = [tex]7\frac{1}{2}[/tex]

OR

? * 2 = [tex]7\frac{1}{2}[/tex]

Therefore, the following multiplication equations corresponding to equation (1) are:

2 * ? = [tex]7\frac{1}{2}[/tex]

OR

? * 2 = [tex]7\frac{1}{2}[/tex]

Answer:

the teacher wanted you to show your work, you may have gotten the answer right but the teacher didn't see your thinking process

Step-by-step explanation:

Answer:

Step-by-step explanation:

y2-y1/=mx2-x1

9-3/=2

5-r=6/=2

5-r which is 1 letters varibles always = 1

cross multiply

6=2(5-r)

6=10-2r

-4=-2r

r=2

so the answer is r=2

Answer: The girls median is 50, and their mean is 46

The boys median is 33, while their mean is 34.

The mean is the average, and the median is the middle when they are sorted by least to greatest.

Step-by-step explanation:

Answer:

i believe the answer would be C! sorry if im wrong! ;-; <333

Answer:

he needs 3 times all the 1 to make 21 pancakes

Step-by-step explanation:

Answer:

108 apples.

Step-by-step explanation:

Cuz 3+6=9 and 9•12=108

3 bags of red apples

6 bags of green apples

12 apples per bag

3 x 12 = 36 red apples

6 x 12 = 72 apples

36 + 72 = 108 apples in all.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4. Is 6 eggs

5. Is 7 eggs

Step-by-step explanation:

The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.

This time is determined by the projectile's starting velocity as well as the angle of projection. When the projectile reaches a vertical velocity equal zero magnitudes, it has reached its maximum height. Furthermore, gravity would take over and accelerate the thing downward.

Given that,

y = -2sin[tex](\frac{2\pi (t+1)}{7})[/tex] + 5

For maximum height,

sin(2π(t + 1))/7) = -1

(2π(t + 1))/7) = sin⁻¹ (- 1)

(2π(t + 1))/7) = sin⁻¹ (- 1)

(2π(t + 1))/7) = 3π/2

t + 1 = 21/4

t = 4.25 seconds

Hence,

we can conclude that at t = 4.25 seconds,

The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.

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I understand that the question you are looking for is:

A weight is attached to the end of a spring. Its height after t seconds is given by the equation. -2sin(2pi(t+1)/7)+5 When does the weight first reach its maximum height? Answer in t seconds.

Answer:

Square root2 /3

Step-by-step explanation:

1. Multiply both numerator and denominator by square root of 2.

2. Square root 2 times itself is just 2 that so denominator is 5-2

3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2

4. 5-2=3 so final answer is Square root 2 over 3

Answer:

Step-by-step explanation:

B or c

The scale of the drawing is 900 centimeters.

It is required to find the solution.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The parking lot = 54 meters wide

For drawing= 6 centimeters

According to given question we have,

First convert meters into centimeters we have,

54  meters= 5400 centimeters

The scale of the drawing

=5400/6

=900 centimeters.

Therefore, the scale of the drawing is 900 centimeters.

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Answer:

u should have another number in here

Step-by-step explanation:

9514 1404 393

Answer:

  all real numbers except 5

Step-by-step explanation:

f(x) is undefined when x=5, so x=5 is excluded from the domain.

The domain is "all real numbers except 5".

Answer:

slope: 3

y-intercept: 3

Step-by-step explanation:

y=3x+3

Hope this helps :) Have a good day!!!!

Answer:

Step-by-step explanation:

Answer:

4x^5y^7 − 28x^7y

Step-by-step explanation:

yes

Answer:

g(x)= x+2 Hope this helps!!

Answer:

a = 370,000

b = 2,115,000

c = 4,230,000

city c is 11.4 times the population of city a

Step-by-step explanation:

10 to the 5 degree is 100,000. multiply that by 3.7 to get the population of City a.

City C is 2,115,000 * 2.

divide the population of City C by the population of City a.

4,230,000 ÷ 370,000= 11.43

Answer:

3

Step-by-step explanation:

Answer: Yes.

Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.

9514 1404 393

Answer:

  D.  (1, 3.5)

Step-by-step explanation:

The midpoint formula is useful.

  M = (E + F)/2 = ((5, -1) +(-3, 8))/2 = (5 -3, -1+8)/2 = (2, 7)/2

  M = (1, 3.5)

The midpoint is (1, 3.5), matching choice D.

_____

If you plot the offered answers on a graph, the correct one becomes clear. It will not have an x-coordinate of 4, and it will not have a negative y-coordinate.

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

[tex]x+8y=190\quad ...(i)[/tex]

[tex]x+5y=130\quad ...(ii)[/tex]

Aplicando [tex](i)-(ii)[/tex]

[tex]8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20[/tex]

Sustituyendo en [tex](ii)[/tex]

[tex]x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30[/tex]

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer:

answer: f(-3)= 13

g(7)= 9