Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch
Answer: 48 square inches per inch
Step-by-step explanation:
The surface area of a cube of sidelength e is:
A(e) = 6*e^2.
The rate of change is:
A'(e) = 2*6*e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Answer:
Just did the test, 48 square inches is correct on edge
Step-by-step explanation:
Give credit to the other person.
You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 5% of sales per month. The second site features a triple net lease with these monthly terms: rent is 4% of sales, insurance is $200, maintenance is $55, utilities total $300, and property tax is $200. Your business plan estimates your monthly sales to average $97,000. Which lease is better for you financially?
Answer:
The Second Site
Step-by-step explanation:
4a + 3a
Will give brainliest!!!
Answer:
7a
Step-by-step explanation:
4a + 3a
(4 + 3)a
(7) a
Answer = 7a
Answer:
4a+3a is equivalent to 7a
Step-by-step explanation:
when simplifying you combine like terms. Since 3a and 4a are like terms and their are no exponents, all you have to do is add the coefficients together.
Often we need to use exponents to correctly model the variation in situations:
The volume of a cylinder varies jointly with the square of its radius and its height. Its
general equation looks like V = kr’h where k= some constant number for all cylinders
and V, rand h are variables representing volume, radius and height, respectively. When
the radius is 3 cm and height is 5 cm, the cylinder has a volume of 141.3 cm. Find the
volume when the radius is 6 cm and the height is 10 cm.
Answer:
V = 1130.4 cm³
Step-by-step explanation:
Given that V varies jointly with r² and h then the equation relating them is
V = kr²h ← k is the constant of variation
To find k use the condition when r = 3 and h = 5 then V = 141.3 , then
141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )
k = 3.14 ← note approximation for π
V = 3.14r²h ← equation of variation
When r = 6 and h = 10, then
V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³
Can you help me please
Parallel lines have the same slope.
m = (y2-y1)/(x2-x1)
m = (-3-3)/(4-0)
m = -6/4 = -3/2
Substitute the values in y = mx + c,
-5 = (-3/2)(6) + c
-5 = -9 + c
c = 4
y = (-3/2)x + 4
Thus, Option D is the correct answer
Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP
============================================
Work Shown:
[tex]\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\[/tex]
When dividing fractions, you flip the second fraction and multiply (step 2).
Note in the last step, the 7's cancel out.
Answer:
2÷3
Step-by-step explanation:
=2÷7×3÷7
= 7 of the denominator will be cancelled
=hence, 2÷3 is the answer
What is the slope of a line parallel to the line 9x+3y = 2?
Answer:
-9 :)
Step-by-step explanation:
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 6 diamonds
Answer:
Step-by-step explanation:
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 8 hearts?
For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.
E(X)=
?=
The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!.....
Answer:
60 and 40 or 120 and 20
Step-by-step explanation:
60 x 2=120
40 x 3=120
60 x 40=2400
120 x 1=120
20 x 6=120
120 x 20=2400
You can try a few others, but no others have an lcm of 120
Write the decimal 0.075 as a fraction in simplest form.
Answer:
3/40
Step-by-step explanation:
Answer:
3/40
Step-by-step explanation:
At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no restrictions?
Answer:
40320Step-by-step explanation:
There are 5 boys and 3 girls
With no restrictions, 8 people can seat in 8! ways
8! = 40320 arrangementsAnswer:
40320
There are 5 boys and 3 girls
With no restrictions, 8 people can seat in 8! ways
8! = 40320 arrangements
JUST #4 PLS Eazy, Adding fraction
Answer:
-1 5/6
Step-by-step explanation:
-1 2/3 turn it into mixed fraction
-10/6
then -10/6 + -1/6 = -11/6 and simplify and get -1 5/6
Hope this helps dude ! ^-^
Which means "p decreased by 75"?
Phil walks around a field 4 times.
The field is 2.1 miles.
About how many miles does Phil walk in all?
Answer:
8.4
Step-by-step explanation:
You multiply 2.1 and 4
Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...
Answer:
60 and 100
Step-by-step explanation:
Look for 2 multiples of 20 which are also factors of 300.
No need to go all Mathematician.
It's simple, no long explanation needed
When the Smith family
left for their vacation, their odometer read
38,573.2 miles. When they arrived, it read
39,204.9 miles. How far did they travel on their
vacation? I HAVE NO IDEA WHAT TO DO AND WHAT THE ANSWER IS!?!? CAN SOMEONE HELP I NEED THE ANSWER QUICK!!
Hello!
Answer:
631.7 miles
Step-by-step explanation:
All you need to do is to subtract 38,573.2 miles from 39,204.9 miles.
So something like this>>>
38,573.2
_ 39,204.9
__________
631.7
You're Welcome! Hope it helps!
which repersents the slope of a line that is parallel to a line with the slope of -2
Answer:
-2
Step-by-step explanation:
slope is -2 because parallel lines have equal slopes.
Paula needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Paula will spend on blueberries.
Answer: $8
Step-by-step explanation: each cartoon is 4 dollars
and she need 2
2•4=8
Answer:
4(2b) and 8b
Step-by-step explanation:
4(2b) = 4x2b= 8b
From my sis: Which list of fractions is in order from smallest to largest?
A: 1/6, 1/3, 1/2
B: 1/2, 1/3, 1/6
C: 1/6, 1/2, 1/3
D: 1/2, 1/6, 1/3
I'll give branliest bc why not:)
Answer:
B
Step-by-step explanation:
You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound
Answer:
$8/pound
Step-by-step explanation:
$40 ÷ 5 lbs = 8$ per pound
Triangle K J I is reflected to form triangle J prime K prime I prime.
Which type of transformation is shown in the figure on the left?
translation
reflection
rotation
dilation
Use the compound interest formula to compute the total amount accumulated .
$1060 for 5 years at 7% compounded annually
Answer:
1486.7
Step-by-step explanation:
1060*(1+0.07)^5 = 1486.705
How many 5 digit numbers can be created using 0-9
Answer:
100000
Step-by-step explanation:
10^5
Solve the inequality. Graph your solution.
-2m < 12
Answer:
M<-6 is the answer
Step-by-step explanation:
divide -2 on both sides and 12÷-2 is -6 so m<-6
pls help with this im being timed once again
Ella completed the following work to test the equivalence of two expressions.
What conclusion can you draw from Ella’s work?
Answer:D
Step-by-step explanation:
A store sells a package of 25 trading cards for $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than $1. What is the unit price per card? PLEASE HELP ME ILL GIVE YOU BRAINLIEST
Answer:
5.25/25=0.21
Step-by-step explanation:
to find this you can do 0.21 times 25 which gets 5.25 so there is your answer
5.25/25=0.21 is the unit price per card.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
A store sells a package of 25 trading cards for $5.25.
So, price of per card = 5.25/25
=0.21
(to find this you can do 0.21 times 25 which gets 5.25 )
Hence, 0.21 is the unit price per card.
To learn more on division click:
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Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph.
The distance from Raj's house to the airport is 20 miles.
If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected
Answer:
40
Step-by-step explanation:
"You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary."
Supervisor: "Thanks, I look forward to the additional __________ per month."
Answer:
$3,774
Step-by-step explanation:
Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800. Sharon car has a market value of $9000 she also has a balance of $1450 in her saving account and has stocks that are currently worth $1050. What is Sharon’s net worth?
Given:
Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800.
Car = $9000
Balance in her saving account = $1450
Stocks = $1050.
To find:
Sharon’s net worth.
Solution:
Total liabilities = Credit card balance + Car loan balance
= $1300 + $4800
= $6100
Total Assets = Car + Balance in her saving account + Stocks
= $9000 + $1450 + $1050
= $11500
Now,
Net worth = Total assets - Total liabilities
= $11500 - $6100
= $5400
Therefore, Sharon’s net worth is $5400.
Sharon's net worth, based on her assets and liabilities, is $5,400.
What is the net worth?Net worth refers to the difference between an individual's assets and liabilities.
Assets are the properties owned by the individual. Liabilities are the sources of funding for the assets. They are financial obligations owed to outsiders (creditors).
In business, the net worth of an entity is known as equity.
Data and Calculations:Liabilities:Credit card balance of $1300
Car loan balance of $4800
Total liabilities = $6,100
Assets:Sharon's car with a market value of $9000
Savings account balance of $1450
Stocks that are currently worth $1050
Total assets = $11,500
Net worth = $5,400 ($11,500 - $6,100)
Thus, Sharon's net worth is $5,400.
Learn more about net worth at https://brainly.com/question/27218751
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