The pressure p(in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area A(in in^2) of the sole of the shoe when the shoes have a sole area of 40 in^2 The pressure is 4 lbs/in^2 find equation that relates these variables
A=
Answers
Answer:
\(A = \dfrac{40}{P}\)
Step-by-step explanation:
Pressure \(p(in lbs/in^2)\) varies inversely with the area \(A(in$ in^2)\) of the sole of the shoe.
This is written as:
\(P \propto \frac{1}{A}\\ $Introducing the constant of variation$\\P = \dfrac{k}{A}\)
When:
\(When: A= 40 in^2, P =4 lbs/in^2\\$Substituting into the equation\\P = \dfrac{k}{A}\\4 = \dfrac{k}{40}\\$Cross multiply\\k=4*40\\k=160\\Therefore, the equation that connect these variables is given as:\\P = \dfrac{40}{A}\\$In terms of P\\AP=40\\\\A = \dfrac{40}{P}\)
Related Questions
During the week of a convention, there were 9,800 occupied hotel rooms and 200 unoccupied hotel rooms in Ashley's city. What percentage of the hotel rooms in the city were occupied during the convention?
Answers
The percentage of the hotel rooms in the city which were occupied during the convention is 98%.
What is percentage?
A percentage is a piece of a whole expressed as a number between 0 to 100. Nothing is said to be zero percent; everything is said to be 100 percent; half of something is said to be 50 percent; and nothing is zero percent.
You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
As given in the question,
Number of hotel room occupied = 9,800
Number of hotel room unoccupied = 200
Total number of the rooms in city = 9800 + 200
Total number of the rooms in city = 10,000
To calculate the percentage we proceeds as follow:
(9800/10000)100 = 98%
Therefore, the percentage is 98%.
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Which is equivalent to square root 8 to the third power
Answers
Answer:
Step-by-step explanation:
IMPORTANT: ∛8ˣ is not the square root of 8³. ∛ means cube root.
∛x = x^(⅓)
Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A larger data set was used to convict 5 members of the company of grand larceny. Find the mean and median for each of the two samples and then compare the two sets of results. Do the limited data listed here show evidence of stealing by the security company's employees?
Security Company:
1.2
1.4
1.2
1.4
1.7
1.5
1.8
1.5
1.5
1.6
Other Companies:
1.7
1.8
1.6
1.9
1.6
2.2
1.8
1.9
1.9
2.3
Question content area bottom
Part 1
Find the means.
The mean for the security company is $ enter your response here million and the mean for the other companies is $ enter your response here million.
(Type integers or decimals rounded to two decimal places as needed.)
Please stop getting them wrong for me!
Answers
Answer:
To find the mean, we sum up all the values and divide by the number of values.
For the Security Company:
Mean = (1.2 + 1.4 + 1.2 + 1.4 + 1.7 + 1.5 + 1.8 + 1.5 + 1.5 + 1.6) / 10
Mean = 1.5 million dollars
For the Other Companies:
Mean = (1.7 + 1.8 + 1.6 + 1.9 + 1.6 + 2.2 + 1.8 + 1.9 + 1.9 + 2.3) / 10
Mean = 1.85 million dollars
Therefore, the mean for the Security Company is $1.5 million and the mean for the Other Companies is $1.85 million.
if the price of viva increases from $2.50 to $2.60 and the price of brawny is unchanged, the sales of brawny will?
Answers
The sales of Brawny will remain unchanged, as the amount of Brawny has not changed.
Price is one of the factors that influence the demand and sales of any product. Therefore, when the price of a product changes, the sales of that product may be impacted. However, when the price of one product changes, the sales of another product that has not changed in price may remain unaffected. In this case, since the price of Viva has increased from $2.50 to $2.60, while the amount of Brawny has remained unchanged, the sales of Brawny will likely remain unchanged.
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Find the sum of the following finite geometric series.
Answers
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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Write a recursive formula for
Answers
Answer:
\(a(1) = 144\)
\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)
\(a(n) = - \frac{1}{6} a(n - 1)\)
solve for v
pleaseee answer and explain <333
Answers
Hi there! :)
Answer:
\(\huge\boxed{v = -27}\)
\(\frac{v-3}{4} = \frac{9+2v}{6}\)
Cross multiply:
\(6 ( v - 3) = 4 ( 9 + 2v)\)
Distribute:
\(6v - 18 = 36 + 8v\)
Isolate the "v" variable:
\(6v - 18 + 18 = 36 + 18 + 8v\)
\(6v = 54+ 8v\)
\(6v - 8v = 54+ 8v - 8v\)
\(-2v = 54\\\\v = -27\)
If sin x=0.2, write down the values for sin (pi-x)
Answers
If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.
Given that,
the value of sin x = 0.2
We have to find the value of sin(π - x).
We know the trigonometric rule that,
sin(π - x) = sin (x)
for any value of x.
So here whatever the value of x, the value of sin(π - x) is sin (x) itself.
So here sin x = 0.2.
So, by the rule,
sin(π - x) = sin (x) = 0.2
Hence the value is 0.2.
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Which choice is equivalent to the product below when x is greater than or equal to 0
Answers
Answer: I believe it is C.
Step-by-step explanation: Because if you take 4 x 20 = 80
If I am wrong sorry.
Solve for b can someone help me please
Answers
7b - 2 + 3b + 2 = 180
7b + 3b - 2 + 2 = 180
10b = 180
b = 18
Check:
7(18)- 2 + 3(18)+ 2 = 180
126 - 2 + 54 + 2 = 180
124 + 54 + 2 = 180
178 + 2 = 180
180 = 180 :)
Step-by-step explanation:
hope this will help you..
Please answer this question ASAP
Answers
Answer:
Budgins.
Step-by-step explanation:
Waitroze is selling the cans of soup for 1.27 more than Budgins. So, therefore, Budgins has a WAY better deal than Waitroze.
uppose that the rela
S={(-1, -9), (-9, 1), (3, 1)}
ve the domain and range of S.
rite your answers using set notation.
domain =
range =
Answers
Answer:
Domain = {-9, -1, 3}Range = {-9, 1}Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
Answers
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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What is the value of the determinant of a 3x3 matrix A, where A = [[1,2,3], [4,5,6], [7,8,9]] ?
Answers
The determinant of the 3*3 matrix A where A = [[1,2,3], [4,5,6], [7,8,9]] is zero (0).
What is the determinant of a matrix?A matrix's determinant refers to the scalar value calculated for a given square matrix. The determinant is a concept in linear algebra, and its components are square matrixes. It may be viewed as the matrix transformation's scaling factor.
To find the determinant of the given matrix A = [[1,2,3], [4,5,6], [7,8,9]];
Choose the row or column with the most 0 elements. If there are no 0 elements choose any row or column. Multiply every element in row 1 by its cofactor and add. The cofactor is "the minor" with the sign changed if the indices match the a − position on the sign chart.From the attached steps in the image below, the next following step would be to add the determinants;
= 1 ×(−3)−2×(−6)+3×(−3)
= -3 + 12 - 9
= 12 - 12
= 0
Therefore, we can conclude that the determinant of the 3*3 matrix A where A = [[1,2,3], [4,5,6], [7,8,9]] is zero (0).
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![What is the value of the determinant of a 3x3 matrix A, where A = [[1,2,3], [4,5,6], [7,8,9]] ?](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/t3uzydQ0YzsrjbW2xTAgAMMY6rE7d6Sk.jpeg)
![What is the value of the determinant of a 3x3 matrix A, where A = [[1,2,3], [4,5,6], [7,8,9]] ?](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/3yQoc2RZo66lgJCyUCHrP6He9nAGuJ0t.jpeg)
jeremy can row 1/3 of a mile in 1/4 of an hour what is the unit rate
Answers
Answer:
Step-by-step explanation:
1/3 of a mile in 15 minutes. 1.333 (4/3) miles an hour
-3b + 8 = 38 + 3b pls help me solve for b plss
Answers
Answer:
b = -5
Step-by-step explanation:
Let's figure this equation, step by step.
-3b + 8 = 38 + 3b
Step 1: Subtract 3b from both sides. This cancels out the addition by 3b.
-3b + 8 - 3b = 38
Step 2: Combine -3b and -3b to get -6b.
-6b + 8 = 38
Step 3: Subtract 8 from both sides. This cancels out the addition by 8.
-6b = 38 - 8
Step 4: Subtract 8 from 38 to get 30.
-6b = 30
Step 5: Divide both sides by -6. This undoes the multiplication by -6.
b = 30/-6
Step 6: Divide 30 by -6 to get -5.
b = -5
Let's check our work by substituting -5 for b in the equation above.
-3(-5) + 8 = 38 + 3(-5)
15 + 8 = 38 + (-15)
23 = 23
Both sides are the same, so b = -5.
consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
Answers
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
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How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answers
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
what are the earth's four spheres
Answers
Answer:
Geosphere, Hydrosphere, Lithosphere, Biosphere
Step-by-step explanation:
Hope this helps!! :)
Whirly Corporation’s contribution format income statement for the most recent month is shown below:
Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200
Required:
(Consider each case independently):
1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.
Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)
Answers
1. Revised Net Operating Income = $66,760
2. Revised Net Operating Income =$64,640
3. Revised Net Operating Income =$52,
1. If the sales volume increases by 40 units:
So, New Sales = 8,700 units + 40 units = 8,740 units
and, New Contribution Margin =
= $14.00 x 8,740 units
= 122, 360
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 122360 - 55600
= 66,760.
2. If the sales volume decreases by 40 units:
New Sales = 8,700 units - 40 units = 8,660 units
New Contribution Margin
= 14 x 8660
= 121,240
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 65,640
3. If the sales volume is 7,700 units:
New Sales = 7,700 units
New Contribution Margin
= 14 x 7700
= 107,800
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 52, 200
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Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
Answers
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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if y varies directly as x and y = 16 when x = 25, find x when y = 40.*
Answers
Answer:
62.5
Step-by-step explanation:
y ∝ x
y= kx
y=16,x=25
just substitute
y=kx
16= k × 25
16= 25K
k=16/25
y = 16/25x
when y=40 x= ?
using the formula
y = 16/25x
40=16/25 × x
cross multiply
40×25=16x
1000=16x
x=62.5
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Answers
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro
Answers
From the first statement, we can write:
2x + 3y = 50 ...(1)
Similarly, from the second statement, we can write:
3x + 4y = 70 ...(2)
We now have two equations with two unknowns. We can solve for x and y using elimination or substitution method. Let's use the elimination method:
Multiplying equation (1) by 3 and subtracting it from equation (2) multiplied by 2, we get:
(2)(3x + 4y) - (3)(2x + 3y) = (70)(2) - (50)(3)
Simplifying, we get:
2x + 5y = 40 ...(3)
Now we have two equations with two unknowns:
2x + 3y = 50 ...(1)
2x + 5y = 40 ...(3)
Subtracting equation (1) from equation (3), we get:
2y = -10
Therefore, y = -5
Substituting y = -5 in equation (1), we get:
2x + 3(-5) = 50
Simplifying, we get:
2x = 65
Therefore, x = 32.5
Hence, the cost of a pencil is 32.5 cents and the cost of a biro is -5 cents.
However, it is not possible for the cost of a biro to be negative, so there must be an error in the calculations or in the problem statement. Please check the numbers and the problem statement again.
can someone help with this plz:)
Answers
Answer:
XI and IX
Line above has arrow heads on both ends.
Step-by-step explanation:
XI and IX
Line above has arrow heads on both ends.
I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
Answers
5789 he has that much holp this helps
Expand and simplify 3(3x+3)-3x(4x+2)
Answers
Answer:
−12\(x^{2}\)+3x+9
Step-by-step explanation:
=(3)(3x)+(3)(3)+−12x2+−6x
=9x+9+−12x2+−6x
Combine Like Terms:
=9x+9+−12x2+−6x
=(−12x2)+(9x+−6x)+(9)
=−12\(x^{2}\)+3x+9
9x+9-12x^2-6x
Now find the like terms and add/subtract
3x+9-12x^2
And to put this in order:
-12x^2+3x+9
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2
Answers
Answer:
2(5-7)
Step-by-step explanation:
Answer:
5 – 7)2*
I took the test
Step-by-step explanation:
What is the quotient of 3 3/4 ÷2/5
Answers
Answer:
9.375
Step-by-step explanation:
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
Answers
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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