3/10
As you know the answer already I don't think you need any further explanation :)
the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?
We want to find the rate of change of the surface for a cube of increasing volume.
When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.
We know that for a cube of side length S, the volume is:
V = S^3
And the surface area is:
A = 6*S^2
Here we know that the volume increases at a rate of 12in^3/min.
Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:
∛(12in^3)/min = 2.29 in/min
Then, as a function of time t in minutes, we can write the side length as:
S(t) = (2.29 in/min)*t
Then the surface area equation is:
A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)
A(t) = (31.46 in^2/min^2)*t^2
The rate of change is given by direct differentiation, we get:
A'(t) = 2*(31.46 in^2/min^2)*t
Now we need to evaluate this in the value of t such that the side length is equal to 20 in:
S(t) = 20in = (2.29 in/min)*t
(20in)/(2.29 in/min) = t = 8.73 min
Then we will get:
A'(8.73min) = 2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min
This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.
If you want to learn more, you can read:
https://brainly.com/question/23483858
Which best describes how the graph of g(x) = square root of 25/9 x relates to the graph of the parent function, f(x) = square root of x?
The graph of g(x) is shrunk vertically by a factor of 5/3.
The graph of g(x) is stretched vertically by a factor of 5/3.
The graph of g(x) is shrunk vertically by a factor of 25/9.
The graph of g(x) is stretched vertically by a factor of 25/9.
Answer:
The graph of g(x) is stretched vertically by a factor of 5/3.
Step-by-step explanation:
f(x) = √x
g(x) = √25/9 x = 5/3 √x
5/3 > 1 .. vertical stretch by a factor of 5/3
The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?
A. 35
B. 16
C. 12
D. 6
-8+r>-8
please show work
Hello there!
-8+r>-8
Move all the numbers to the right:
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
place the boxes in the correct location this Math problem 15 points
Answer:
but where is the question please type your full questions
need help desperately.. y – 2.234 = 7.92
Answer:
251,734.
Step-by-step explanation:
how you do the first one
I HOPE IT WILL HELP YOU.
Thank you.
Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
Pokyaa is 31 years, 6 months, while Afriyie
is 20 years, 6 months
The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that the age of Pokyaa is P while the age of Afriyie is A.
As per the given,
Pokyaa is 11 years older than Afriyie
Therefore, P = 11 + A
Altogether P + A = 52
Substitute,A = 52 - P into P = 11 + A
P = 11 + (52 - P)
P = 11 + 52 - P
P + P = 63
2P = 63
P = 32.5 ⇒ 31 years and 6 months.
Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth)
Answer:
1.03
Step-by-step explanation:
Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
what is the answer for this equation 3x-2=2x+9
Answer:
x = 11
Step-by-step explanation:
3x-2x=9+2 1st and 2nd principle
X=11
In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra
Answer:
21/40.
Step-by-step explanation:
There are 3 geometry and 7 algebra books.
If the geometry book is drawn first probability = 3/10
If the second is algebra P = 7/9.
If the third is algebra P = 6/8 = 3/4.
So the probability of all three being drawn in this order = 3/10 * 7/9 * 3/4
= 63/360
= 7/40.
Now there are a total of 3 ways in the order they are drawn, That is:
GAA
AGA
AAG.
So the required probability = 3 * 7/40
= 21/40.
PLEASE HELP
WILL MARK BRAINLIEST
(don’t put links or i will report)
What type of correlation is shown within your data? Explain how you know.
Answer:
it looks like a positive correlation?
Step-by-step explanation:
I really don't know much but it looks like the y in increasing in a positive direction when the x is as well
fourth degree and a single zero of -3
The degree of a polynomial is the highest power of the polynomial.
The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
The degree is given as:
[tex]\mathbf{n = 4}[/tex]
The zero is given as:
[tex]\mathbf{x = -3}[/tex]
Add 3 to both sides
[tex]\mathbf{x + 3= 0}[/tex]
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
[tex]\mathbf{P(x) = (x + 3)^n}[/tex]
Substitute 4 for n
[tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
Giving brainliest for number 31
Answer:
b, d, c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
f(x)=x²-x
#CarryOnLearning
hopeithelps,,thanks
BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,
Answer:
27:45
Step-by-step explanation:
The ratio is 3:5, so the total is 8. 72/8 is 9. 9*3 is 27, and 9*5 is 45, so the two groups consist of 27 and 45 BAKERY Rolls.
3v + 7v + 9v =3 v+7 v+9 v=
Answer:
I cant help you
Step-bBecause i just c
y-step explanation:
There are 120 apples, 1/16 have sprinkles. How many have sprinkles?
Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.
Answer:
8% is the sales tax rate
Step-by-step explanation:
I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.
490 * 8.75% = 42.875
Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)
490 * 8% = 39.2
Hope this was somewhat helpful
1. In the end of semester examination, 32% students failed in Economics, Mathematics, 46%in Business, 12% in Economics and Mathematics, 9% Mathematics and Business, 10% in Economics and Business and 3% in all the three. Using Venn diagram, determine, i. Number of students that failed in exactly one course. ii. Number of students that failed in exactly two courses. iii. Number of students who passed in all the three courses. iv. Number of students who failed in at least one course.
(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.
32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.
9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.
Answer:
11400000
Step-by-step explanation:
1 whale = 380000 lbs
30 whale weighs 380000×30
30 whales = 11400000
What is the HCF of two consecutive odd numbers? for 50 points
Answer:
The HCF of two consecutive odd number is 1.Step-by-step explanation:
What is the HCF of two consecutive odd numbers?
The HCF of two consecutive odd number is 1.
{-13,-2,9,20,31,…} which term in this sequence is 306
Given :-
-13,-2,9,20,31 . . . . .To find :-
which term in this sequence is 306 .Solution :-
Common difference ,
d = 31 - 20 d = 11As we know that ,
Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30Answer:
30th
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 13 and d = 11 , then
[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306
11n - 24 = 306 ( add 24 to both sides )
11n = 330 ( divide both sides by 11 )
n = 30
The 30th term is 306
Kimberly has a revolving credit account at an annual percentage rate of 15% her previous monthly balance was $784.19 find a new balance if Kimberly's account show The Following activity - 88.76 + 115 + 210.72 - 354.12 - 723.92
Answer:
784.19(1 + .15/12) = 793.99
Step-by-step explanation:
solve each equation. 6x+2/3-2=4x-4/6
Answer:
6x+2/3-2=4x-4/6
6x-4x = 2-⅔-4/6
2x = 2-(4+4)/6
2x = (12-8)/6
2x = 4/6
12x = 4
x = 4/12
x =⅓
Step-by-step explanation:
brainliest plz
Select the values that are solutions to the inequality x2 + 3x – 4 > 0.
–6
–2
0
5
the answer to this question is -6&5
The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.
Answer:
[tex]k = 2E/x^2[/tex]Step-by-step explanation:
Given formula:
[tex]E = 1/2kx^2[/tex]To solve for k, multiply both sides by 2 and divide by x²:
[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]Answer:
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Step-by-step explanation:
The formula given is :
[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]
Now, multiply (×) both sides by 2 and divide (÷) by x^2
[tex]\sf\longmapsto \: 2E = kx²[/tex]
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Which graph represents the function f(x)=0.5x+4?
Which graph represents the function f(x)=−2x−1?
Answer:
Step-by-step explanation:
1.)The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.
Answer:
graph 4
Step-by-step explanation: because I love you <3 ;)
pls help i am in k12
What is the slope of Car A’s graph? What does it mean?
(b) What is the slope of Car B’s table? What does it mean?
HELP PLZ ASAP!!!!
A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.
A. W= 360m + 60,000
B. W= 60,000m + 360
C. W= 360m - 60,000
D. W= 60,000m - 360
Answer:
Step-by-step explanation:
Your answer is A.
Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case