The volume of a sphere is given by the equation V = 1/6(square root of 3.14) x 60^3/2
where S​ is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter

It will take 13 weeks to gather funds that sum up to $4500.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given: I have $2485 and I save $155 weekly

Thus amount left to be gathered is $4500-$2485=2015

If I save $155 weekly then we get = $2015/$155

                                                        =13 weeks

Hence, It will take 13 weeks to gather funds that sum up to $4500.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ1

Answer:

Step-by-step explanation:

no

Answer:

22:18

Step-by-step explanation:

In this case, firstly you have to add 11 and 9 together, which makes 20.

Then, 40 ( number of sweets ), divided by 20 gives us 2.

This means that every piece, or block, of our ratio will be 2.

Therefore, the last step is multiplying 11x2 and 9x2.

So, Andy has 22 sweets an Trevor has 18.

Answer:

Option 4

Step-by-step explanation:

"Angle formed between a secant and a tangent at a point outside a circle is equal to half of the difference of the measure of the intercepted arcs"

By applying this theorem in the figure given in the picture,

m∠RST = [tex]\frac{1}{2}[\text{m(arc TU - m(arc RT))}][/tex]

[tex]x=\frac{1}{2}(155-65)[/tex]

[tex]x=\frac{1}{2}(90^0)[/tex]

[tex]x=45^0[/tex]

Therefore, Option 4 is the correct option.

Answer:

C. 60°

Step-by-step explanation:

The maximum possible width of the box will be equivalent to

w = (V/302.4).

The volume of cuboid is given by -

V{C} = Length x Breadth x Height

Given is a piece of luggage has a height of 20.5 inches and a length of 14.75 inches.

We can write the volume of the box as -

V{b} = L x B x H

Assume the volume of the box is {V} cubic inches and its width be {w} inches. So, we can write the inequality as -

(20.5 x 14.75 x w) = V

w = (V/302.4)

Therefore, the maximum possible width of the box will be equivalent to

w = (V/302.4).

To solve more questions on volume, visit the link below -

brainly.com/question/29424737

#SPJ1

Answer: A

Step-by-step explanation: A shows a turkey sandwich with all the types of bread and a ham sandwich with all the types of bread.

Answer:

I think biased

Step-by-step explanation:

it's the best answer for me

Check the picture below.

The statement [tex]P\land Q[/tex] in Tautology is represented as P and Q , and the symbol "[tex]\land[/tex]" is called as AND operator .

What is Tautology ?

Tautology can be defined as a compound statement which always results in Truth value. It does not matter what individual part consists of, the result in tautology is always true.

AND Operator : The AND is represented by the symbol "[tex]\land[/tex]". When the 2 simple statements are used in forming the compound statement by using AND operator , then it is called as a conjunction of two statements .

The AND operator returns TRUE value only when both the statements P and Q are TRUE , if any one of the statement is FALSE , then it returns FALSE value .

The given question is incomplete , the complete question is

What is represented by [tex]P\land Q[/tex] in Tautology ?

Learn more about AND Operator here

https://brainly.com/question/13092292

#SPJ4

Answer:

[tex]2x+3 \geq 35[/tex]

x is meetings

Step-by-step explanation:

a) The average rate of change of a function over an interval is the change in the function's output (f(b) - f(a)) divided by the change in the function's input (b - a). So, to find the average rate of change of f over the interval -4 <= x <= 3, we can use the formula:

(f(3) - f(-4)) / (3 - (-4)) = (sqrt(25 - 9) - sqrt(25 - 16)) / (3 - (-4)) = (-2sqrt(7) + 4sqrt(3)) / 7

b) To find the derivative of f(x), we need to use the power rule and the chain rule. The power rule states that the derivative of x^n is nx^(n-1), and the chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x).

So, the derivative of f(x) = sqrt 25 - x^2 is:

-2x

c) To find the equation of the line tangent to the graph of f at x = -3, we need to use the point-slope form of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line (which is f'(-3) = -6), (x1, y1) is the point on the graph where the line touches (which is (-3, f(-3)) = (-3, sqrt(25 - 9) = 2sqrt(7))

so we have: y - 2sqrt(7) = -6(x + 3)

d) To check if g(x) is continuous at x = -3, we need to check if the limit of g(x) as x approaches -3 exists and is equal to g(-3).

Since g(x) = f(x) for -5 <= x <= -3 and g(x) = x + 7 for -3 <= x <= 5, we have:

g(-3) = f(-3) = sqrt(25 - 9) = 2sqrt(7)

and the limit of g(x) as x approaches -3 is:

lim x->-3 g(x) = lim x->-3 (x + 7) = -3 + 7 = 4

Since g(-3) = 2sqrt(7) and lim x->-3 g(x) = 4, g(x) is not continuous at x = -3.

To learn more about Continuity,

https://brainly.com/question/30089593

#SPJ4

1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.

To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.

To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.

Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.

2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.

To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player

3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.

The reciprocal of the fraction 2/3 is 3/2

4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.

Let's call the cost of a silver ticket x.

The cost of a gold ticket is x + 8.

We know that Patrick spent 10x + 10(x+8) = $140

We can simplify that: 10x + 10x + 80 = 140

Then we have 20x + 80 = 140

Then we have 20x = 60

And x = 3

Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11

5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.

Learn more about Economy in  brainly.com/question/2866811

#SPJ1

f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.

In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,

If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.

An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.

Given data :

This is the formula of an arithmetic sequence.

f(n) =   a1 + d(n - 1)

An arithmetic sequence begins with 56, 59, 62, 65, 68,

=   = 56.

d = 59 - 56 = 3

so the formula is f(n) = 56 + 3(n − 1)

Learn more about arithmetic sequence refer to :

brainly.com/question/28354530

#SPJ1

Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.

Step-by-step explanation:

Answer: 0.62

Step-by-step explanation: The probability of an event is a number between 0 and 1. It was given that the probability of getting a tail is 0.38; so, in order to find the probability of getting a head, you have to subtract 0.38 from 1 since flipping a head is the only other option than flipping a tail. Since 1 - 0.38 = 0.62, this is your answer.

Answer:

z ∗ = 2.326

Step-by-step explanation:

The percent of broken bulb will be 5%.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

He takes a random sample of 500 bulbs.

He finds that 25 bulbs arrived broken.

The percentage of broken bulb will be,

= (25/500) * 100

= 0.05 * 100

= 5%

Thus, 5 percent of bulb are broken.

Learn more about this concept here:

https://brainly.com/question/3211782

#SPJ2

Answer:

You are absolutely correct!

Step-by-step explanation:

An inscribed angle in a circle has half the measure of the corresponding arc.

Step-by-step explanation:

[tex] \sf \hookrightarrow \: {n}^{2} = 20 \\ \sf \hookrightarrow \: \sqrt{ {n}^{2} } = \sqrt{20} \\ \sf \hookrightarrow \: n = \sqrt{20} \\ \star \bf \: n = 2 \sqrt{5} \\ \\ \sf \hookrightarrow \: {a}^{2} = 90 \\ \sf \hookrightarrow \: \sqrt{ {a}^{2} } = \sqrt{90} \\ \sf \hookrightarrow \: a = \sqrt{90} \\ \star \bf \: a = 3 \sqrt{10} [/tex]

Answer:

-3/2

Step-by-step explanation:

slope= rise/run = -60/40 = -6/4 = -3/2

Answer:

1. There is exactly one plane that contains points E,F, and B (2nd option)

2. The line that can be drawn through points C and G

would lie in plane x. (3rd option)

3. The line that can be drawn through points E and F

would lie in plane y. (4th option)

Step-by-step explanation:

The line that can be drawn through points C and G would lie in X-plane and the point E and F would lie in Y-plane. Then the correct options are C, D, and E.

A plane is a straight surface, with multiple surfaces that never end in maths.

The points C, D, and G lie in X-plane.

And the points E and F lie in Y-plane.

From the diagram, the conclusion points are given below.

Then the correct options are C, D, and E.

More about the plane link is given below.

https://brainly.com/question/1962726

#SPJ5

The solution of the system of equations is:

x = 5t - 4

y = -5t + 1

z = t

Option B is the correct answer.

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

From the row-echelon form of the augmented matrix of a system of equations, we get,

x + 0y -5z = -4

x - 5z = -4

x = 5z - 4

0x + y + 5z = 1

y + 5z = 1

y = -5z + 1

0x + 0y + 0z = 0

Now,

Put z = t (any real number)

We get,

x = 5t - 4

y = -5t + 1

Thus,

The solutions are:

x = 5t - 4

y = -5t + 1

z = t

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ1

The expression is 8n – 3; The 100th term is 797

The nth term of an arithmetic sequence is given by:

an=a1+(100-1)d          ....[1]

where

a1  is the first term

d is the common difference of two consecutive terms.

n is the number of terms.

Given the sequence:

5, 13, 21, 29, 37, 45, …

This is an arithmetic sequence with first term  = 5 and common difference(d) = 8

Since;

13-5 = 8,

21-13 = 8,

29-21 = 8  and so on....

We have to find the 100th term in the sequence

Substitute in [1] we have;

an=a1+(100-1)d

an=5+(n-1)8=5+8n-8 = 8n-3

Substitute the given values and n=100 we have;

a100= 800 - 3 = 797

Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;

To learn more about arithmetic sequence refer to :

https://brainly.com/question/6561461

#SPJ4

Answer:

it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!

Answer:

Step-by-step explanation: first we have to solve the bracket both side of equal to.

1/6(3x-6)=1/8(4x+)

x/2-1 = x/2+1

-2

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

The store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.

Here, we have,

To calculate the store's expected profit from a random shipment of 500 pounds of oranges, we need to consider the probabilities and prices associated with each quality category of oranges.

Let's break down the calculations step by step:

High Quality Oranges:

Probability: 40% of the time

Purchase price: $0.52 per pound

Selling price: $1.99 per pound

Expected profit per pound: $1.99 - $0.52 = $1.47

The expected profit from high-quality oranges per pound is $1.47.

To calculate the expected profit from high-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of high-quality oranges:

Expected profit from high-quality oranges = 0.4 * $1.47 * (0.8 * 500) = $235.20

Low Quality Oranges:

Probability: 55% of the time

Purchase price: $0.52 per pound

Selling price: $1.49 per pound

Expected profit per pound: $1.49 - $0.52 = $0.97

The expected profit from low-quality oranges per pound is $0.97.

To calculate the expected profit from low-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of low-quality oranges:

Expected profit from low-quality oranges = 0.55 * $0.97 * (0.65 * 500) = $165.68

Rotten Fruit:

Probability: 5% of the time

The store cannot sell any rotten fruit, so the expected profit from rotten fruit is $0.

Now, let's calculate the total expected profit from the entire shipment of oranges:

Total expected profit = Expected profit from high-quality oranges + Expected profit from low-quality oranges + Expected profit from rotten fruit

= $235.20 + $165.68 + $0

= $400.88

Therefore, the store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.

To earn more on addition click:

brainly.com/question/29560851

#SPJ4

Answer: The explicit formula for this sequence is given by the expression a_n = 3^n, where n is the position in the sequence (starting from n=1 for the first term).

The recursive formula for this sequence is given by the expression a_n = 3a_(n-1), where n is the position in the sequence (starting from n=1 for the first term) and a_(n-1) is the previous term in the sequence.

Here's how you can use the recursive formula to find the terms of the sequence:

a_1 = 2

a_2 = 3a_1 = 3 * 2 = 6

a_3 = 3a_2 = 3 * 6 = 18

a_4 = 3a_3 = 3 * 18 = 54

a_5 = 3a_4 = 3 * 54 = 162

and so on.

To find the explicit formula, you can try to find a pattern in the terms of the sequence. For example, you might notice that each term is simply the previous term multiplied by 3. This pattern can be expressed using the recursive formula a_n = 3a_(n-1). To find the explicit formula, you can then solve for a_n in terms of n:

a_n = 3a_(n-1)

a_n / 3 = a_(n-1)

a_n / 3 = (3a_(n-2)) / 3

a_n / 3 = 3^(n-2)

a_n = 3^n

Therefore, the explicit formula for this sequence is a_n = 3^n.

Step-by-step explanation:

By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 3 equal parts we can graph 1/3 on the number line, where each part will be equal to the 1/3.

A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.

For drawing 1/3 on a number line, we will follow the following steps:

We will first draw a line and mark 0 and 1 on it.

In between 0 and 1, we will divide the total distance into 3 equal parts, where one part will represent (1/3)th portion.

Hence. by marking there we can locate 1/3 on the number line.

For more questions on Number line

https://brainly.com/question/24644930

#SPJ4

The correct question may be like:

How do you plot 1/3 on a graph.

Answer:

Sophia could chug 26 beverages in 2 seconds

Step-by-step explanation:

If Sophia can chug 13 beverages in 1 second.

then, For 2 seconds

13 × 2 = 26

Thus, Sophia could chug 26 beverages in 2 seconds

-TheUnknownScientist

Answer:

Hello! answer: x = 3

each rectangle = 48 Hope that helps!

Answer:

3

Prime factorization:

2^2 × 3 × 5 = 60