Answer:
The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.
Step-by-step explanation:
Let suppose that snowball geometry correspond to a sphere. In this case, the volume of the sphere is:
[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex] (Eq. 1)
Where:
[tex]R[/tex] - Radius of the sphere, measured in inches.
[tex]V[/tex] - Volume of the sphere, measured in cubic inches.
We know that volume decreases due to melting, so we need an expression of the rate of change of volume in time. By differentiating (Eq. 1) we get:
[tex]\frac{dV}{dt} = 4\pi\cdot R^{2}\cdot \frac{dr}{dt}[/tex] (Eq. 2)
Where:
[tex]\frac{dV}{dt}[/tex] - Rate of change of the volume of the snowball in time, measured in cubic inches per minute.
[tex]\frac{dr}{dt}[/tex] - Rate of change of radius of the snowball in time, measured in inches per minute.
If we know that [tex]R = 2\,in[/tex] and [tex]\frac{dr}{dt} = -5\,\frac{in}{min}[/tex], the rate at which the volume of the snowball is decreasing is:
[tex]\frac{dV}{dt} = 4\pi\cdot (2\,in)^{2}\cdot \left(-5\,\frac{in}{min} \right)[/tex]
[tex]\frac{dV}{dt}\approx -251.327\,\frac{in^{3}}{min}[/tex]
The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.
Find the slope of the line
PLEASE HELP ASAP MARKING BRAINLY
Answer:
1.) 1
2.) 3600
3.) 242
Step-by-step explanation:
1- 523 / 523 = 1
2- 12 x 300 = 3600
3- 144 + 98 = 242
Use the graph of the function. Determine over what interval(s) the function is positive or negative.
Answer:
The function is positive
Step-by-step explanation:
As you can see, the line makes a U shape aiming for the positive side of the graph.
The function in which the function is positive is (- 2, -1] ∪ [1, 2) and negative is [-1 to 1].
We have a graph of a function f(x).
We have to determine over what interval the function is positive or negative.
Define Function.A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set X is called the domain of the function and the set Y is called the codomain of the function. For example - shown below is a piecewise function -
[tex]f(x) = \left\{ \begin{array}{ll} x^2 \quad x > 0 \\ 0 \quad \text{else} \end{array} \right.[/tex]
According to the question, we have a graph.
It can be seen in graph that the function f(x) is '+' in ranges : - 2 to -1 and 1 to 2.
The interval in which f(x) is positive is → (- 2, -1] ∪ [1, 2).
In the interval of : -1 to 1, the function has a negative value.
The interval is → [-1 to 1]
Hence, the function in which the function is positive is (- 2, -1] ∪ [1, 2) and negative is [-1 to 1].
To solve more questions on functions, visit the link below-
https://brainly.com/question/12570292
#SPJ2
helppp pls, I cant seem to place them..
What is the lowest common multiple of 20 and 60
Answer:
60
Step-by-step explanation:
algebra one question
Name a linear pair of angles must be 2 pairs. Image included.
Answer:
Pair 1 and 2, pair 2 and 3, pair 3 and 4, pair 4 and 1
Step-by-step explanation:
Any pair of numbers that isn't diagonal from each other can be a pair. A linear pair is simply two angles that add up to 180°, so if you have a completely straight line with a ray coming up from it at any angle, that's a linear pair. Choose any two of the four options I gave you.
Within a company is a (micro)economy that is monitored by the accounting procedures. In terms of the accounts, the various departments "produce" costs, some of which are internal and some of which are direct costs. This problem shows how an open Leontief model can be used to determine departmental costs.
The sales department of an auto dealership charges 10% of its total monthly costs to the service department, and the service department charges 20% of its total monthly costs to the sales department. During a given month, the direct costs are $88,200 for sales and $29,400 for service. Find the total costs (in dollars) of each department. (Round your answers to the nearest whole number.)
sales department
service department
Answer:
The total cost of sales department is [tex]a = \$ 84,000[/tex]
The total cost of services department is [tex]b = \$ 21,000[/tex]
Step-by-step explanation:
From the question we are told that
The direct for sales cost is [tex]SC = \$88,200[/tex]
The direct cost for service department is [tex] SV = \$29,400[/tex]
Given that the sales department charges 10% of its total monthly costs to the service department
The indirect cost of service department is 10% of a = 0.10 a
Here a is the total cost of sales
Given that the service department charges 20% of its total monthly costs to the sales department
The indirect cost of sales department is 20% of b = 0.20 b
Here b is the total cost for service department
Generally the direct cost of sales can be mathematically represented as
[tex]SC = a + 0.20b [/tex]
=> [tex]88200 = a + 0.20b[/tex]
=> [tex]a = 88200-0.20b[/tex]
Generally the direct cost of services can be mathematically represented as
[tex]SV = b + 0.10a [/tex]
=> [tex]29400 = b + 0.10a[/tex]
substituting for a in the above equation
=> [tex]29400 = b + 0.10 [88200-0.20b][/tex]
=> [tex]b = \$ 21,000[/tex]
substituting this value into the equation for a
[tex]a = 88200-0.20 (21000)[/tex]
=> [tex]a = \$ 84000[/tex]
BRAINLIEST
Part A: Simeon comes home from school every day and eats 2 peanut butter and jelly sandwiches. There are 770 calories in 2 sandwiches. Set up the proportion to find how
many calories are in 1 peanut butter and jelly sandwich
Part B: Use the proportion set up in Part A to determine how many calories are in 1 peanut butter and jelly sandwich.
Part C: How many calories would be in 3 peanut butter and jelly sandwiches?
Answer:
In one Pb&j it is 385 and in three it has 1,155 (385×3=1,155 )
Answer:
part A = x= 385 Part B= Part A Part C= 1155
Step-by-step explanation:
Part A
770/2 = x/1
770= 2x
x= 385
Part B
Thats the same question as part A? so just use the answer from A i guess
Part C
770/2 = x/3
2310 = 2x
x = 1155
Please help me with this
Answer:
Your base is -5 and your exponent is 6.
Step-by-step explanation:
Mark me as Brainliest plz!!!
1. You work for a mortgage lender that really encourages you to sell ARM loans to your clients. In fact, if 75% of the loans you close each month are ARM loans, you receive a very nice bonus. You have a customer on the phone that you don’t feel understands ARM loans very well despite all your efforts. He tells you repeatedly that he would be better off with a 30-year fixed rate mortgage. You proceed to take his application and send all the required documentation to him for a 5/1 ARM. He signs the documents and returns them to you. You process his loan and close it 30 days later.
A. Do you feel you ethically assisted your borrower with this loan?
B. What could you have done differently?
2. You have a co-worker at work that you are also friends with. One day, a borrower comes in and meets with him. You overhear the borrower tell your co-worker that he has a loan with his mom and dad for about $10,000 that he pays $300 a month. Your co-worker proceeds as if he didn’t hear your borrower at all. Once he has taken the application, he tells the borrower that he qualifies for maximum financing for a $250,000 home. However, that does not take into consideration the $300 a month the borrower pays his parents for the loan.
A. Did your coworker do anything unethical in this transaction?
B. Assuming you feel this was an unethical situation, how do you handle this?
Answer:
A
Well in this case i don't feel i have ethically assisted by borrower because the type of loan my costumer requested from me is the 30-year fixed rate mortgage but because of the bonus i will gain from closing ARM loan i sent him/her the documentation to him for a 5/1 ARM loan even though he has told me repeatedly that he would be better off with the 30-year fixed rate mortgage
B
What i would have done differently was to be more patient and explain him the benefits of the ARM loan and the if he / she insists that he still want the 30-year fixed rate mortgage, then i would have sent him /her the documentation for the 30-year fixed rate mortgage.
2
A
Yes my co-worker acted in an unethical manner by not recognizing the fact that the costumer is servicing another loan with $300 a month and then proceeding to qualify him/her for a maximum financing of $250,000 which will would increase the risk in the current transaction
B
Since i feel this is unethical, the next step i will take is to call my co-worker aside and bring to his notice the fact that the borrower is servicing another loan with $300 per month , and then i will ask my co-worker to bring this fact into consideration when determine his maximum financing which in this case he has to reduce , then if my co-worker does not agree with my advice then in order to ensure that the company does not loss funds i will call in a higher authority in the company.
Step-by-step explanation:
Katrina, Jackie, and Molly are making crafts for the craft fair. Katrina has 3/10
made of hers, Jackie has made 2/5 of hers, and Molly has made 1/2 of
hers. Which shows these amounts in order from SMALLEST to LARGEST?
Answer:
Step-by-step explanation:
First you need to find a common denominator which in this case it 10
*Remember that whatever you do to thee bottom you need to do to the top*
3/10 - 3/10
2/5 = 4/10
1/2= 5/10
So the order is
Katrina - 3/10
Jackie - 4/10
Molly - 5/10
Hope this helped
Patric decided to run every day to keep himself healthy. He ended up running 3/5 of a kilometer everyday. How much did he run in a week
plz help! Pythagorean Theorem Pythagorean Theorem
Answer: (Option 2)
Step-by-step explanation: 10 to the second power represents the biggest square. 6 to the eight power represents the 2nd biggest square. The hypotenuse which is 8 to the second power would give you answer B.
how you turn 4 and 1/2 into a decimal
Answer:
4 1/2 as a decimal is 4.5
Step-by-step Explanation:
Step 1: You multiply the whole number by the denominator:
4 × 2 = 8
Step 2: Add 8 to the numerator:
8 + 1 = 9
Step 3: Then, you divide 9 by the denominator:
9 ÷ 2 = 4.5
I hope this helped you
help with these 2 pls
Answer:
Step-by-step explanation:
3. [tex]\frac{-4-4}{-2-3} =\frac{-8}{-5} =\frac{8}{5}[/tex]
4.[tex]\frac{5-(-3)}{2-(-2)} =\frac{8}{4} =2[/tex]
Answer:
3. 1.6 and 4. 2
Step-by-step explanation:
3. m = (y2-y1)/(x1-x2)
m = ( 4-(-4))/(3-(-2))
m = 8/5= 1.6
4. m = (-3-5)/(-2-2)
m = -8/-4
m = 2
The population of Canada is 34,482 thousand people. If the world population is 7 billion people, then what percentage of the worlds population ilives in Canada.
Answer:
About
Explanation:
To find a percent, divide the numerator, 34,482 by 7 billion to get your percent. I rounded it to the nearest whole. the actual percent is actually 4.92%. Hope it helped!
Use De Morgan's laws to express a negation for the following statement. This computer program has a logical error in the first ten lines or it is being run with an incomplete data set.
A) This computer program does not have a logical error in the first ten lines or it is not being run with an incomplete data set.
B) This computer program has a logical error in the first ten lines or it is not being run with an incomplete data set.
C) This computer program does not have a logical error in the first ten lines and it is not being run with an incomplete data set.
D) This computer program has a logical error in the first ten lines and it is not being run with an incomplete data set.
E) This computer program does not have a logical error in the first ten lines and it is being run with an incomplete data set.
Answer and Step-by-step explanation:
Let
P = this computer program has a logical error in the first ten lines.
q = it is being run with an incomplete data set.
Not p = ¬p
P or q = p ∨ q
P and q = p ∧ q
If p then q = p → q
P if and only if q = p ↔ q
a) Computer program does not have a logical error in the first ten lines or is not being run with an incomplete data set.
¬p ∨ ¬q
b) Computer program has a logical error in the first ten lines, or it is not being run with an incomplete data set
p v ¬q
c) Computer program does not have a logical error in the first ten lines, and it is not being run with an incomplete data set
¬p v ¬q
d) Computer program has a logical error in the first ten lines, and it is not being run with an incomplete data set.
P v ¬q
e) Computer program does not have a logical error in the first ten lines, and it is being run with an incomplete data set
¬p v q
9. Michelle typed a 5 digit number on her iPad. She gave her friends
3 clues to determine the number. What number is it based on these
clues?
a. The highest place, the hundreds place value, and the ones place
value all have the same digit.
b. The tens place value is one less than thousands place value.
c. The hundreds place value is greater than the tens place.
Answer:
There is no way to determine.
Step-by-step explanation:
Sorry I could not help...
hope you figure it out!
Nielsen tracks the amount of time that people spend consuming media content across different platforms (digital, audio, television) in the United States. Nielsen has found that traditional television viewing habits vary based on the age of the consumer as an increasing number of people consume media through streaming devices (Nielsen website). The following data represent the weekly traditional TV viewing hours in for a sample of people aged and people aged .
Viewers aged 18–34 24.2 21.0 17.8 19.6 23.4 19.1 14.6 27.1 19.2 18.3
22.9 23.4 17.3 20.5
Viewers aged 35–49 24.9 34.9 35.8 31.9 35.4 29.9 30.9 36.7 36.2 33.8
29.5 30.8
Required:
a. Compute the mean and median weekly hours of traditional TV viewed by those aged 18–34.
b. Compute the mean and median weekly hours of traditional TV viewed by those aged 35–49.
c. Compare the mean and median viewing hours for each age group. Which group watches more traditional TV per week?
Answer:
Step-by-step explanation:
a) Mean = sum of variables/sample size
For Viewers aged 18-34
Data given
24.2 21.0 17.8 19.6 23.4 19.1 14.6 27.1 19.2 18.3
22.9 23.4 17.3 20.5
Sum of variables = 34+24.2+21.0+17.8+19.6+23.4+19.1+14.6+27.1+19.2+18.3 +22.9+23.4+17.3+20.5
= 288.4
Sample size = 14
Mean = 288.4/14
Mean = 20.6
Median is the value at the middle of the data after rearranging either ascending or descending order.
On re arranging
14.6, 17.3, 17.8, 18.3, 19.1, 19.2, )19.6, 20.5, (21.0, 22.9, 23.4, 23.4, 24.2, 27.1
Based on the arrangement it can be seen that the value at the middle is 20.5 and 19.6 so we will take the average of the values.
Median = 19.6+20.5/2
Median = 20.05
hence the median value is 20.05
b) For Viewers aged 35-49
Data given
24.9 34.9 35.8 31.9 35.4 29.9 30.9 36.7 36.2 33.8
29.5 30.8
Sum of variables = 24.9+34.9+35.8+31.9+35.4+29.9+30.9+36.7+36.2+33.8 +29.5+30.8
= 390.7
Sample size = 12
Mean = 390.7/12
Mean = 32.56
Median is the value at the middle of the data after rearranging either ascending or descending order.
On re arranging
24.9, 29.5, 29.9, 30.8, 30.9), 31.9, 33.8, (34.9, 35.4, 35.8, 36.2, 36.7
Based on the arrangement it can be seen that the value at the middle is 31.9 and 33.8. Taking the average vale;
Median = 31.9+33.8/2
median = 32.85
Hence the median of the data is 32.85
c) Based on both means, the mean value of the people between ages 35-49 is grater than that of ages 18-34. This shows that the people under age of 35-49 watches more traditional TV per week and due is due to the greater mean value they possess.
The median value of the people between ages 35-49 is also grater than that of 18-34 by 12.8 (32.85-20.05)
Can we conclude that x - 5 is a factor of the polynomial
x^3 − x^2 − 17x − 15
How do you know?
Answer:
use synthetic division
Step-by-step explanation:
use synthetic division to solve [tex]\frac{x^{3}-x^{2} -17x-15}{x-5}[/tex].
if solved correctly, you should get [tex]x^{2} +4x+3[/tex] with no remainder.
because there is no remainder, x-5 is a factor of the polynomial given.
[tex](x-5)[/tex] is a factor of the given polynomial because the value of the polynomial is [tex]0[/tex] at [tex]x=5[/tex].
Given:
The given polynomial is [tex]x^3-x^2-17x-15[/tex].
Explanation:
We know that, [tex](x-c)[/tex] is a factor of [tex]P(x)[/tex] if and only if [tex]f(c)=0[/tex].
We have,
[tex]P(x)=x^3-x^2-17x-15[/tex]
Substituting [tex]x=5[/tex] in the above polynomial, we get
[tex]P(5)=(5)^3-(5)^2-17(5)-15[/tex]
[tex]P(5)=125-25-85-15[/tex]
[tex]P(5)=0[/tex]
Since [tex]P(5)=0[/tex], therefore [tex](x-5)[/tex] is a factor of the given polynomial.
Learn more:
https://brainly.com/question/16151090
FOR QUESTION 4 I NEED AN ANSWER ASAP !!!!
Answer:
10 k cal
Step-by-step explanation:
the ecosystem has ecological of 10%
the producer level is 1000 kilo-calories
the primary consumer will contain 10 % of the producer:
10000*10%=1000
the secondary consumer will contain 10% of the primary:
1000*10%=100 k cal
the tertiary will get 10% of the secondary: 100*10%=10 kcal
q+2.7=-0.9
This is for math!
Answer: q= -3.6
Step-by-step explanation:
q+2.7=-.9
-2.7. -2.7
------------------
q= -3.6
Answer:
q=-3.6
Step-by-step explanation:
Help PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
ok can u comment done any one question that u need help on?
enter the decimal equivalent 13/16
Help! What does 2 divided by 9 tenths
Answer:
[tex]\frac{20}{9}[/tex] or [tex]2\frac{2}{9}[/tex]
Step-by-step explanation:
[tex]2[/tex] ÷ [tex]\frac{9}{10}[/tex]
Rewrite [tex]2[/tex] in fraction form:
[tex]\frac{2}{1}[/tex] ÷ [tex]\frac{9}{10}[/tex]
When dividing fractions, we invert the divisor ([tex]\frac{9}{10}[/tex]) and multiply it by the dividend ([tex]\frac{2}{1}[/tex]):
[tex]\frac{2}{1}[/tex] × [tex]\frac{10}{9}[/tex]
Multiply the numerators and denominators:
Improper fraction: [tex]\frac{20}{9}[/tex]
Mixed number: [tex]2\frac{2}{9}[/tex]
how to solve 33 times 32
Answer:
1056
Step-by-step explanation:
33*32= 1056
(33*30)+(33*2)= (990)+(66)=1056
What is the slope of the line shown
Answer: 1
Step-by-step explanation:
Answer
Step-by-step explanation:
rise=1 and run=1
11 equals 1/3a plus 2
Answer:
a= 3
Step-by-step explanation:
11=1/3a + 2
-2 -2
9=1/3a
a = 3
CIO and MAP are
supplementary MAP measures five times the other angle. What is the complement of the smaller anglo?
Provide the equation to solve for the unknown angle
Measure of Angle CIO
MAP
Complement of smaller angle
Answer:
Measure of CIO = 30°
Measure of MAP = 150°
Complement of smaller angle = 60°
Step-by-step explanation:
Given that <CIO and <MAP are supplementary, therefore:
m<CIO + m<MAP = 180°
Let x be m<CIO
m<MAP = 5x
Thus:
x + 5x = 180
Solve for x
6x = 180
Divide both sides by 6
x = 30°
The smaller angle = m<CIO = x = 30°
The bigger angle = m<MAP) = 5x = 5(30) = 150°
Complement of the smaller angle = 90 - 30 = 60°