Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.
Select the correct answer. What is this expression in simplest form?
Answer:
[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}\\=\frac{x^2+(2-1)x-2}{x^2(x-1)+2(x-1)}\\=\frac{x^2+2x-x-2}{(x-1)(x^2+2)}\\=\frac{x(x+2)-1(x+2)}{(x-1)(x^2+2)}\\=\frac{(x-1)(x+2)}{(x-1)(x^2+2)} \\=\frac{x+2}{x^2+2}\\So, ~last~option~is~the~correct~answer.[/tex]
The simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]\rm \dfrac{\left(x^2+x-2\right)}{x^3-x^2+2x-2}[/tex]
[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{x^3-x^2+2x-2}[/tex]
[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x^2+2\right)}[/tex]
= (x + 2)/(x² + 2)
Thus, the simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.
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the cost of an airplane flight increases from $250 to $295.
what is the increase?
Answer:
Step-by-step explanation:
45 dollars is the answer lol this is 2 ez
Answer: 45 is the increase
Step-by-step explanation:
295-250=45
2/5t=6
Pleaseeeee help
Answer:
t = 1/15
Step-by-step explanation:
[tex]\frac{2}{5t} = 6\\2 = 6 * 5t\\2 = 30t\\\frac{2}{30} = t\\t = \frac{1}{15}[/tex]
7 more than a number ?
A)n+7
B)7+n
C)7-n
Answer:
B)7+n
Step-by-step explanation:
Answer:
A but see below.
Step-by-step explanation:
A is likely the best answer, although B is also correct. However you should write things in the other they are given.
n + 7 is the very best way to answer.
7 + n is not wrong but maybe not wanted.
Need help on this question, please help!
Answer:
I think it is 50
Step-by-step explanation:
3. Brenda deposited $225 into an account that earns 7.25% compound
interest. How much will be in her account after six years?"
9514 1404 393
Answer:
$342.43
Step-by-step explanation:
Each year, the account value is multiplied by 1 +7.25% = 1.0725. After 6 years, the value will be ...
$225(1.0725^6) ≈ $342.43
How many 1/4 pieces can you cut if a string is 15 ft long
Answer:
60
Step-by-step explanation:
you simply do 15 ÷ .25, which you will get 60.
Answer:
60 1/4 pieces
Step-by-step explanation:
Multiply 15 x 1/4 = 60 pieces
answer quick pls due today
Answer:
B =1/4 s I think, doesn't it mean you multiply when you put a variable next to a fraction? I mean your multiplying his income last year to 1/4
Step-by-step explanation:
I hoped this helped. Wait for more responses if needed too ;)
Travis took out an 80/20 mortgage on a $175,000 home. What is the amount
financed under the first mortgage?
A. $164,000
B. $175,000
C. $35,000
D. $140,000
Answer:
D 140,000
[tex]175000 \div .20 = [/tex]
The answer is D 140,000
Recall that an American Roulette wheel has 38 possible outcomes, 18 black, 18 red and 2 green. The numbers go from 1 to 36, and the green outcomes are numbered 0 and 00. Someone places 10 bets on "1st 12", that is, that person wins if the outcome is any number between 1 and 12, included. 1. (2pts) What is the probability of losing a ’1st 12’ bet on a single spin? 2. (3pts) What is the probability of winning 7 out of the 10 total bets?
Answer:
American Roulette
1. The probability of losing a ’1st 12’ bet on a single spin is:
= 0.67
2. The probability of winning 7 out of the 10 total bets is:
= 0.23
Step-by-step explanation:
Possible outcomes in an American Roulette wheel = 38
Make-up of the outcomes = 18 black, 18 red and 2 green
Green outcomes are numbered 0 and 00
Number of wins for this person = 12
Probability of winning = 0.33 (12/36)
Number of possible losses for this person = 24
Probability of losing = 0.67 (24/36)
1. The probability of losing a '1st 12' bet on a single spin is:
= (36 - 12)/36
= 0.67
2. The probability of winning 7 out of the 10 total bets is:
Probability of winning = 12/36 * 7/10
= 0.23
Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
Answer:500
Step-by-step explanation:
There are 100 production runs from each plant should be ordered to minimize the cost.
What is Production?
The process of making or manufacturing goods and products from raw materials or components is called Production.
The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.
And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.
And, A customer needs at least 100 tons of LP and 180 tons of HP,
Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,
= (0, 180), (40, 60), (100, 0).
Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.
So, There are 100 production runs from each plant should be ordered to minimize the cost.
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Help me find the answer to this please. And also explain how to slove these problems.
Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
Explain how you can tell whether a group of ratios represents a proportional relationship
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional
Step-by-step explanation:
thx for the free points gl
Name a line segment parallel to DC.
A
B
D
С.
E
F
H
G
Answer:
line segment HG
line segment EF
line segment AB
Graph h(x)=3cos(2x)−1.
Use 3.14 for π.
Step-by-step explanation:
the answer is in the attachment
Answer:
The right answer is in yellow.
Step-by-step explanation:
Took the quiz :)
Can someone please answer all of these questions. im begging you please
Answer:
Step-by-step explanation:
highest temp = 5.5°C
lowest temp = -3°C
-4° < -3°, so the outside temp is colder
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Solve the system of equations by graphing. -x+y = -2 y = -1
Answer:
the solution is (9, -1).
Step-by-step explanation:
graph the two equations on a graphing calculator (i use a website called desmos) and the point of intersection is the solution.
i hope this helps! have a great day <3
WHOEVER HELPS AND GETS THESE 3 RIGHT I WILL GIVE BRAINLY TO!!!!!!
Answer/Step-by-step explanation:
16. 4(x + 3) - 5 < 5x + 7
4x + 12 - 5 < 5x + 7
4x + 7 < 5x + 7
Collect like terms
4x - 5x < 7 - 7
-x < 0
Divide both sides by -1
x > 0
17. 24 > -3x
Divide both sides by -3
24/-3 < -3x/-3
-8 < x
x > -8
18. -5(2x - 6) + 3x < 2(2x + 1) - 11x
-10x + 30 + 3x < 4x + 2 - 11x
Add like terms
-7x + 30 < -7x + 2
-7x + 7x < -30 + 2
0 < -28
Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?
Answer:
they ate it all together as it all adds to 1
Step-by-step explanation:
1/4+2/5 if you add the missing remainder it totals 1
Plz help me with this problem I also don’t understand. Worth 12 points! Only number 8. I need help with.
Answer:
Where is question
Step-by-step explanation:
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Answer:
30x² − 23x − 14Explanation:
Area = Length · WidthLength: (6x - 7)
Width: (5x + 2)
Create An Equation(6x - 7) (5x + 2)
= (6x + −7)(5x + 2)
(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)
= 30x² + 12x − 35x − 14
30x² − 23x − 14- PNW
How do I solve this? please help
Answer:
4322 ft^2
Step-by-step explanation:
First, we need a formula. The formula is (50*110) - (3.14*18^2) - (4*40). The answer is 4322 ft^2 (This is the rounded answer)
Why is 3 x 1/10 less then 3x 10
Answer:
Beause In the first equation 3 is being multiplied by .1 and the second equation is being multiplied by 10
Step-by-step explanation:
1/10 In decimal for is .1 and .1 times 3 is .3
3 times 10 is 30 so therefore 3 x 1/10 less then 3x 10
All equilateral triangles are isosceles.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
This statement is true. The definition of an isosceles triangle is a triangle with at least two congruent sides. Since all equilateral triangles have three congruent sides, they fit the definition of an isosceles triangle.
True my friend
jsisisosksksd
Mr. Dylan used 5/12 of a carton of eggs to make breakfast Sunday.
He used 3/12 of the carton on Monday. How many more eggs did
HE USE IN SUNDAY?
2 Eggs
8 Eggs
Answer and I will give you brainiliest
Answer:
2!
Step-by-step explanation:
There's 12 eggs in a carton, 5v3 is 2! :)
Can you solve this as soon as possible please
PLEASE HELP GEOMETRY
Answer:
60
Step-by-step explanation:
i’m kinda confused please help
Answer:
0.8, 0.875, 0.89 or 4/5, 7/8, 0.89
Step-by-step explanation:7/8 is the same as 7 divided by 8 which equals to 0.875.
4/5 is the same as 4 divided by 5 which is 0.8.
Shortest to Longest
0.875
0.89
0.8
reformed into
1. 0.8
2. 0.875
3. 0.89
PLEASE HELP IF YOU CAN, ASAP :)
Answer:
I mean 6
Step-by-step explanation:
That is the answere to you question.
Answer:
$8 originally
Step-by-step explanation:
75%= 3/4
if the price is broke up into 4 pieces we see that 3 pieces where taken off if one piece is $2 then 2+2+2+2= $8 which is the full price.