Answer:
44
Step-by-step explanation:
as the cubes increased in size, describe what happened to the surface area to volume ratio. explain mathematically why this happened in terms of the formula for each.
As the cube size increases, the surface -area - to - volume ratio decreases .
Given :
as the cubes increased in size, describe what happened to the surface area to volume ratio, mathematically why this happened in terms of the formula for each.
Volume :
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Volume of cube = a^3
Surface area :
Surface area is the amount of space covering the outside of a three - dimensional shape.
Surface area of cube = 6a^2
suppose side length = 1
1^3 : 6 * 1^2
= 6 * 1 : 1
= 6 : 1
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Bill Roundy bought 800 shares of a mutual fund with an NAV of $14.10. This fund has a load charge of 3%.
a. What is the offer price? (Round your answer to the nearest cent.)
b. What did Bill pay for the investment?
1. The offer price of the 800 shares of a mutual fund with a NAV of $14.10 that Bill Roundy bought is $11,280.
2. For this investment, Bill paid $11,618.40, including the load charge of 3%.
What is a load charge?A load charge is a sales commission that investors pay when they buy (front-end load) or redeem (back-end load) shares in a mutual fund.
What is NAV?NAV means net asset value.
NAV refers to the difference between the investee company's total assets and its total liabilities.
The total number of mutual fund shares bought by Bill = 800
The net asset value of the shares = $14.10
Load charge = 3%
Offer price = $11,280 (800 x $14.10)
Amount Bill paid for the investment = $11,618.40 ($11,280 x 1.03)
Thus, with an offer price of $11,280 for the mutual fund, Bill Roundy paid a total of $11,618.40, including the load charge.
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Which property of equality justifies the statement if x - 2 = 9, then x = 11
The equality property that is used to prove the statement is the addition property of the equality.
Which property of equality justifies the statement?Let's start with the general equation
A = B
That we assume is a true equation.
There is a property called the addition property of the equality, it says that we can add the same number in both sides of the equation.
Then if we add a number C in both sides, we will get:
A + C= B + C
And that equation is still true.
Ok, let's go to our equation:
x - 2 = 9
We can add the same number in both sides which is 2, then we get:
x - 2 + 2 = 9 + 2
x = 11
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Five subtracted from the product of 6 and a number is at most -25.
The value of the number from the equation 6A - 5 ≤ -25 is A = -3.33
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number be represented as A
Now , the value of A is calculated as
Five subtracted from the product of 6 and a number is at most -25
So , the inequality equation will be
And , substituting the values in the equation , we get
6A - 5 ≤ -25 be equation (1)
Now , adding 5 on both sides of the equation , we get
6A ≤ -25 + 5
6A ≤ -20
Divide by 6 on both sides of the equation , we get
A ≤ -3.33
Therefore , the value of A is -3.33
Hence ,
The value of the number from the equation 6A - 5 ≤ -25 is A = -3.33
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Bones from the skeleton of a fish have lost 22 percent of their carbon-14. Note that for carbon-14,the constant of proportionality is approximately k = 0.000124. Estimate the age of the bones: Round to the nearest tenth of ayear. Answer How to enter your answer Keypad years
The age of the bones from the skeleton of s fish is 2000 years.
The formula to be used for calculation of age is-
ln (N/No) = - kt, where N/No represents remaining time, k represents constant of proportionality and t refers to the age or time period.
The remaining time = 100 - 22
Remaining time = 78% or 0.78
Keep the values in mentioned formula to find the time.
ln 0.78 = - 0.000124t
Keeping the value of ln 0.78 on Left Hand Side of the equation
- 0.248 = - 0.000124t
Negative sign will be cancelled as it is present on both sides of the equation
t = 0.248/0.000124
Performing division on Right Hand Side of the equation
t = 2000
Hence, the age is around 2000 years.
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Rewrite the equation `6y=2x+12`into slope intercept form.
Answer:
y=1/3x+2
Step-by-step explanation:
................
Answer:
y=1/3x+2
Step-by-step explanation:
slope intercept form: y=xm+b
6y=2x+12
/6 /6
y=2/6x+2
y=1/3x+2
have a great day!
A company that rents DVDs from vending machines in grocery stores has developed the following probability distribution for the random variable X = the number of DVDs a customer rents per visit to 3 machine P(x) 0,5 03 0.1 0 | (a) Find and interpret the mean (expected value) of x (b) Find and interpret the standard deviation ofx
The mean of x is 1.8 and standard deviation of X is 0.98 using calculations for mean and standard deviation by given values or data.
What is mean and standard deviation?
The standard deviation is a summary measure of the differences of each observation from the mean.
In the given que:
X 1 2 3 4
P(X) .5 .3 .1 .1
For mean :
Mean = 1(.5) + 2(.3) + 3(.1) + 4(.1)
= 1.8
For standard deviation :
Standard deviation = √.5(1-1.8)² + .3(2-1.8)² + .1(3-1.8)² + .1(4-1.8)²
= .98
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2. A store offers a 20% discount if you buy a pair of pants, a shirt, and socks. You take advantage of the offer and get a pair of pants, a shirt for R$20 and socks for R$5. Sales tax is 7%. If the total cost was $47.08. What was the original price of the bike
Answer:
A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Mineko had a piece of material that was 3/5 yard long. She cut 1/3 yard off the material to make a pillow. How much material does she have left?
The material that she has left after the cut of 1/2 yard of the material is 2/5 yards left
While I show you how to solve this problem, I would like to highlight some of the words and how they convert into a mathematical equation.
"She cut 1/3 yard off the material."
This means you multiply whatever you are starting with by 1/3.
So in this case Mineko begins with 3/5 yards.
So,
3/5 • 1/3 = 1/5
She used 1/5 yard to make the pillow.
This will translate to Mineko having left
Therefore 3/5-1/5
She has 2/5 yards left.
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The cement manufacturing company supplies 5000 tons cement per day and it has sold $150 per ton. The company has a unit variable cost of $80 per ton of cement and it use 5% commission. Besides to this the company has S12,000 fixed cost per month. Therefore, formulate the total cost of the company and its break-even revenue?
Answer:
Step-by-step explanation:To calculate the total cost of the cement manufacturing company, you need to consider the unit variable cost, the commission, and the fixed costs.
First, calculate the total variable cost per day by multiplying the unit variable cost by the number of tons of cement produced per day: $80/ton * 5000 tons/day = $400,000/day
Then, calculate the total commission cost by multiplying the total variable cost by the commission rate: $400,000/day * 5% = $20,000/day
Next, calculate the total fixed cost per day by dividing the monthly fixed cost by the number of days in a month: $12,000/month / 30 days/month = $400/day
Finally, add the total variable cost, the total commission cost, and the total fixed cost to calculate the total cost per day: $400,000/day + $20,000/day + $400/day = $420,400/day
To calculate the break-even revenue, divide the total cost by the difference between the sales price and the unit variable cost, then multiply by the number of tons of cement sold per day: ($420,400/day) / ($150/ton - $80/ton) * 5000 tons/day = $600,000/day
This means that the cement manufacturing company needs to generate at least $600,000 in revenue per day in order to break even.
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The universities budget covers cost for nine months what is Amy’s monthly budget for textbooks in course supplies? What is her monthly budget for rent on utilities and food? What is your monthly budget for a personal and miscellaneous cost? what is her total monthly budget?
Amy’s monthly budget for textbooks equals $900.00
Amy's monthly budget for rent, utilities and food equals $12,798.
Her monthly budget for a personal & miscellaneous cost equals $2,259.
Her total monthly budget equals $15,957.
What does Budget mean?A budget is refers to an estimation of the revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis.
Budget for textbooks:
= $900.00
Budget for rent, utilities and food:
= $12,798.
Budget for personal and miscellaneous cost:
= $2,259.
Total monthly budget:
= $900 + $12,798 + $2,259
= $15,957
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Which of the following always lie in the triangle?
Centroid and Incentre always lie inside the triangle.
What is Centroid of a triangle?The centroid is the center point of the object. The point in whereby the three medians of the triangle intersect is called the centroid of a triangle. It is also described as the point of intersection of all the three medians. The median is a line which joins the midpoint of a side and the opposite vertex of the triangle.
What is Incentre of a triangle?
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be described as the point in which the internal angle bisectors of the triangle cross.
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288 toy cars can be kept in either 16 boxes or 18 boxes. find out the number of toy cars that can be kept in: 9 boxes and 8 boxes.
The number of toy cars that can be kept in: 9 boxes and 8 boxes is 153 and 136 respectively .
Given :
288 toy cars can be kept in either 16 boxes or 18 boxes .
if 288 toy cars kept in 16 boxes .
number of toy cars in one box = 288 / 16
= 18 toy cars
if 288 toy cars kept in 18 boxes
number of toy cars in one box = 288 / 18
= 16 toys cars
Average = 18 + 16 / 2 = 34/2 = 17 toy cars .
Number if toy cars in 9 boxes = 9 * 17
= 153 toy cars
Number of toy cars in 8 boxes = 8 * 17
= 136 toy cars
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the area of a rectangle is square feet. determine the length and width if the length is times the width.
According to the given area of rectangle, the length and width of the rectangle is 7 and 21 respectively.
Area of rectangle
The standard form of calculating the area of the rectangle is written as,
A = l x w
where l refers the length and w refers the width of the rectangle.
Given,
Here we have given that the area of a rectangle is 147 square feet. And we need to determine the length and width if the length is three times the width.
Let us consider length of rectangle is n,
Then the width of rectangle is 3n.
Here we have to remember that the area of a rectangle is
=> A = n x 3n = 3n²
Here we are told that the area,
=> 3n²=147
Then the value of n² = 49
Therefore, the length is 7 and the width is 21.
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A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter.
The area of cheese is 38 square centimeters.
What is a triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Given that the height of the cheese is 2.5 inches and the base is 4.75 inches.
The value of 1 inch is 2.54 centimeters.
Now convert 2.5 inches and 4.75 inches into centimeter:
2.5 inches = (2.5 × 2.54) centimeters = 6.35 centimeters
4.75 inches = (4.75 × 2.54) centimeters = 12.065 centimeters
The area of triangle is (1/2) × base × height
The area of the cheese is [(1/2) × 6.35 × 12.065] square centimeter
=38.31 square centimeter
= 38 square centimeters (nearest square centimeter)
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1. Suppose that there are 5 children in a gymnastics class. One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down. The results are: Ashley (20), Brittany (8), Carol (22), Darla (26), and Erica (24). The mean number of steps these children took while walking on their hands is 20 steps. (a) Identify the population and the parameter. ate the mean number of steps taken while walking on their
(b) List all 10 poss SRSs of size n-2. Ca hands for each sample. (c) Display the sampling distribution of the sample mean on a dotplot.
Based on the probability concept, the population is number of children in gymnastic class is 5 and the parameter is mean number of steps taken by the 5 children.
Probability:
In math probability deals with the occurrence of a random event and the value is expressed from zero to one.
Given,
Suppose that there are 5 children in a gymnastics class.
One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.
The mean number of steps these children took while walking on their hands is 20 steps.
Here we need to find the the population and parameter.
Based on the given question,
We know that the parameters are descriptive measures of an entire population and their values are usually unknown because it is infeasible to measure an entire population.
Therefore, you can take a random sample from the population to obtain parameter estimates.
Similarly, for the population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research.
Here the given scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.
And then the parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information.
So, the mean value of steps obtained from the step counts of the population data is called the parameter.
And the parameter is a value that describes a characteristic of an entire population, such as the population mean.
Therefore, the population mean and standard deviation are two common parameters.
=> Population = number of children in gymnastic class = 5.
=> Parameter = mean number of steps taken by the 5 children.
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which of the following statements are true of this rational function
On solving the question, we got to know that - Due to this, at x=0 there is no vertical asymptote , there is a removable discontinuity at x= -a
When does a function reach its vertical asymptote?Consider a function f(x) that is continuous for all values of a, changes in value as x approaches a while remaining undefined at x = a. increase. The vertical asymptote of f(x) at x = a is now a vertical line that may be drawn.
According to its study, the function's asymptote and discontinuity are found to be as
Due to this, at x=0 there is no vertical asymptote
and, also there is a removable discontinuity at x= -a
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With an interest of $1711.11 and a principal of $14000 for 220 days, use the ordinary interest method to determine the rate. (Round your answer to the nearest whole percent)
A.20%
B.12%
C.25%
D.22%
The interest rate required to accumulate a simple interest of $ 1,711.11 in 220 days is approximately 20%.
What is the interest rate of the investment?The simple interest formula is expressed as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $14000 Interest I = $1711.11Elapsed time t = 220 days = 220/365 yearInterest rate r = ?Plug the given values into the above formula and solve for interest rate r.
I = P × r × t
$1711.11 = $14000 × r × 220/365yr
1711.11 = 616000/73 × r
r = 1711.11 ÷ 616000/73
r = 0.20227776
Rate R = r × 100%
Rate R = 0.20227776 × 100%
Rate R = 20%
Therefore, rate of the investment is 20%
Option A is the correct answer.
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• For which of the following equations is (3, - 1) not a solution?
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
What is equation ?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. It is demonstrated that the expressions on the left and right are equivalent to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.
Here,
The given equations are ( a) x-4= y (b) 2x -7 =y (c ) x +3 =y ( d) x/3 = -y
Thus from the given equation
We put, values in each of equation to find that values satisfy the equation or not
Thus, we found x +3 =y does not satisfy the point (3,-1)
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
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The correct question is -
For which of the following equations is (3, - 1) not a solution?
Group of answer choices - y=x-1, -3x=4y-6, 2y-3x=0, 5x+2y=-16
Can you please help I will mark BRAINLIEST
Answer:
yeah im sorry i have no idea
Step-by-step explanation:
bro im soooooooo sorry
write a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
A statement that associates s with a set that contains the following elements: 23, 42, -11, 89 is s = set ( [ 23 , 42 , -11 , 89 ] )
Given :
a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
Statement :
A statement is an instruction that the Python interpreter can execute.
We have seen two kinds of statements: print and assignment.
When you type a statement on the command line, Python executes it and displays the result, if there is one. The result of a print statement is a value.
we can write :
s = set ( [ 23 , 42 , -11 , 89 ] )
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What’s the answer please help
In a km race A beats B by 60m Or 7s. What is the time taken by A over the course
The time taken by A over the course is 109.3 s
How to determine the time taken by the course?The given parameters that will help us to solve the problem is
A beats B by 60m in 7s
Length of track = 1km
Distance by which A beats B = 60m
And the time by which A beats B is 7 seconds
Time taken by A over the course according to the problem is
A covers 60m in 7 secs
Let us consider the formula,
Speed = Distance / Time
The Speed of B= 60/7 m/s = 8.6 m/s
This implies that Time taken by B over the course = Distance / Speed
= 1000/8.6 = 116.3 s
According to the problem, if A reaches earlier , then time taken by A = (116.3 - 7) s = 109.3 s
In conclusion time taken by A over the course is 109.3 s .
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TRUE/FALSE. if the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular
It is false that if the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular
The augmented matrix is an extension of a matrix in which we add a column ( non homogeneous part of the system)
Say , Ax = b
Here , b is column part
So , Augmented matrix will be [ A : b ]
The Rank of augmented matrix can be found by performing elementary row operations on a augmented matrix and counting the number of the rows without zero comparing the rank of an augmented matrix
The rank of coefficient matrix can determined if there is a solution to the system of solution
In the question this statement,
If the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular is false
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PLEASE HELP ME!! I WILL GIVE YOU BRAINLIST!!!!
Answer: it should be C.
Step-by-step explanation: because its ascking to describe the formation.
find the sum by adding each term together. use the summation capabilities of a graphing utility to verify your result. (round your answer to four decimal places.) 5 1 k2 4 k
The result of the following summation is 114.
We are given the following summation, i = 1 to 6 ∑(4i + 5)
To determine the sum by adding the values, we will substitute the values of i, starting from i = 1 to i = 6, in the expression.
= 4(1) + 5 + 4(2) + 5 + 4(3) + 5 + 4(4) + 5 + 4(5) + 5 + 4(6) + 5
= 4(1) + 4(2) + 4(3) + 4(4) + 4(5) + 4(6) + 30
= 4 + 8 + 12 + 16 + 20 + 24 + 30
= 114
Thus, the result of the sum is 114.
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{ax+3y=10
kx−3y=6
In the system of equations above, a and k are constants. If the solution to the system is (2,1) , what is the value of a+k ?
Answer:
a+k =7
Step-by-step explanation:
In the given system of equations, ax + 3y = 10 and kx - 3y = 6, we are told that the solution to the system is (2,1). This means that when we plug the values x = 2 and y = 1 into the equations, we get two true statements.
To find the value of a + k, we can start by plugging the values x = 2 and y = 1 into the first equation to get:
a(2) + 3(1) = 10
Next, we can solve for a by dividing both sides of the equation by 2:
a + 3/2 = 5
a = 5 - 3/2 = 5/2
Next, we can plug the values x = 2 and y = 1 into the second equation to get:
k(2) - 3(1) = 6
Next, we can solve for k by dividing both sides of the equation by 2:
k - 3/2 = 3
k = 3 + 3/2 = 9/2
Finally, we can add the values of a and k to find the value of a + k:
a + k = (5/2) + (9/2) = 14/2 = 7
Therefore, the value of a + k is 7.
A circle with a radius 7 cm long is centered at an angle's vertex, and the angle's rays subtend an arc length of 15 cm along the circle. The subtended arc is how many times as long as the circle's radius? 07 _ 15 = 8 O15 _ 7 = 8 7 0.467 15 15 0.341 2T0 15 2.143
The subtended arc is 2.14 times as long as the circle's radius.
What is radius of circle?
A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of those line segments. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."
Given:
A circle with a radius 7 cm long is centered at an angle's vertex, and the angle's rays subtend an arc length of 15 cm along the circle.
The radius of the circle is 7 and length of the subtend are is 15 cm. The required value is given by:
Subtended arc / Radius = 15 / 7 = 2.14
Therefore, option (e) is the correct answer.
Hence, the subtended arc is 2.14 times as long as the circle's radius.
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Which statement correctly compares -9 and 2?
A. 92 because 9 is to the left of 2 on a number line.
B. 9 is to the left of 2 on a number line. -9> 2 because 92 because
C. 9 is to the right of 2 on a number line. D. 9 > 2 because 9 is to the right of 2 on a number line.
The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.
What is a number line?In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.
Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.
In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A
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The integer X, Y and Z each are perfect squares X greater than y greater than z greater than zero if x, y, z from an AP the smallest possible value of X is
49 is the smallest possible value of x.
Given: x, y, and z are three perfect square numbers.
What is the least x that can be?
Currently, we have three numbers by the stipulation:
x > y > z > 0
and AP has these figures.
Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
As a result, we can observe that 25 is equal to the product of 1 plus 49.
The possible outcomes are 1, 25, and 49.
If x = 49 and z = 1, then
x + z / 2 = y
49 + 1 / 2 = y
y = 50 / 2
y = 25
Y is therefore 25 and X is 49.
As a result, 49 is the lowest value of x that can exist.
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