Answer:
April
Step-by-step explanation:
To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.
I graphed the function, provided down below.
As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.
Using derivative concepts, it is found that the function has a local maximum in March.
--------------------
A function S(t) has local maximums or minimums at points in which the derivative is 0.If the function goes from increasing(positive derivative) to decreasing(negative derivative), it has a local maximum.The function is:
[tex]S(t) = t^4 - 12t^3 + 52t^2 - 96t + 64[/tex]
Which has the following derivative:
[tex]S^{\prime}(t) = 4t^3 - 36t^2 + 104t - 96[/tex]
Now, for each month, it has to be tested the derivative, verifying if it's zero.--------------------
February is the 2nd month, thus, the derivative is:
[tex]S^{\prime}(2) = 4(2)^3 - 36(2)^2 + 104(2) - 96 = 0[/tex]
Now, we have to test a value less than 2, and one greater than two, to check if it goes from increasing to decreasing, that is, derivative goes from positive to negative.
[tex]S^{\prime}(1.5) = 4(1.5)^3 - 36(1.5)^2 + 104(1.5) - 96 = -7.5[/tex]
[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]
From negative to positive, thus, a local minimum in February.
--------------------
March is the 3rd month, thus, the derivative is:
[tex]S^{\prime}(3) = 4(3)^3 - 36(3)^2 + 104(3) - 96 = 0[/tex]
Testing before and after:
[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]
[tex]S^{\prime}(3.5) = 4(3.5)^3 - 36(3.5)^2 + 104(3.5) - 96 = -1.5[/tex]
From positive to negative, thus, it has a local maximum in March.
A similar problem is given at https://brainly.com/question/13539822
Find the Least Common Multiple (LCM) of 50 and 90
Answer:
450
(I can't post the answer if it's less than 20 letters so just ignore this I'm trying to fill up)
Find the perimeter of this shape
Answer:
the answer is 58
Step-by-step explanation:
first rectangle is 6 by 10
and second rectangle is 7 by 16
perimeter (2*(16+7))+(2*(10+6))=78 ××
edite:
sorry i made a mistake the real answer is 58 because we add all the sides together 16+13+10+6+6+7=58
have a nice day :)
Hello!
The perimeter is sum of all sides of a figure. In this figure, we have unknown sides. To find the unknown sides, we have to use the sides that we know. By adding and subtracting numbers, you can find the other sides. See the image below, to see how I did it.
I also have another practice problem, for you to practice on your own if you want to.
Also, mishap on picture, The answer is 58.
If U.S. $1 = 7.82 Hong Kong dollars, what is the value of 25 Hong Kong dollars in U.S. dollars?
Answer:
3.25
Step-by-step explanation:
1 hong kong dollar = 0.13 cents in us dollars
0.13x25=3.25
The value of 25 Hong Kong dollars in U.S dollar is $3.1969
Given that :
$1 = 7.82 Hong Kong dollars
Let the equivalent Number of U.S dollars = p
This means that :
$1 = 7.82 Hong Kong dollars
$1 = 7.82 Hong Kong dollars $p = 25
Cross multiply :
25 × 1 = 7.82 × p
25 = 7.82p
Divide both sides by 7.82
25 / 7.82 = p
p = $3.1969
Hence, 25 Hong Kong dollars is 3.1969 U.S dollars.
Learn more : https://brainly.com/question/18109354
73. Find F when C = 30 degrees in the formula F=9/5c+32 degrees
Answer:
f = 86
Step-by-step explanation:
f = 9/5c + 32
~Substitute
f = 9/5(30) + 32
~Simplify
f = 54 + 32
f = 86
Best of Luck!
If the maximum score on a quiz is 120, is it possible to have a mean of 100 after the fifth quiz
Answer:
i dont think it is possible since you are losing percentage by the fifth time you are taking a quiz so if the max score is 120 it is not possible to still get 100 percent on the fifth try to will lose percent i think you can get 100 percent by the second or third try
Step-by-step explanation:
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
Evaluate expression
a) -19 + 3(-13 + 4*3)
b) | -7(2) |
c) 15 – 3 | - 4-2 |
Answer:
well i know the first one
-19+3(-13+4*3)
= -19+3(-13+12)
= -19+3(-1)
= -19-3
= -22
We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?
Answer:
[tex]? \times \frac{?}{?} [/tex]
d
Answer:
2 by 25 feet.
Step-by-step explanation:
Let L and W be the length and the widht of the field
we want W = L + 23 and W x L = 50
So
(L + 23) x L = 50
[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]
Since L must be positive then L =2 and W = 2 + 23 = 25.
A rectangular tank 160 cm long and 80 cm wide is filled with some water. John puts a cube with side 40 cm long into the water. What is the rise in water level if the cube is completely immersed?
Answer:
The water level would rise by [tex]5\; \rm cm[/tex].
Step-by-step explanation:
Assume that the initial water level is [tex]h\; \rm cm[/tex].
Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].
Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].
The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].
In other words:
Volume of water in this tank: [tex](80 \times 160)\, h\; \rm cm^{3}[/tex], whereasVolume of water in this tank, plus the volume of the submerged cube: [tex](80 \times 160) \, (x + h) \; \rm cm^{3}[/tex].Therefore, the volume of the submerged cube could be expressed as:
[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].
On the other hand, the volume of the cube could be expressed as:
[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].
Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:
[tex](80 \times 160)\, x = 64000[/tex].
[tex]x = 5[/tex].
In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].
Find the area of the shaded region
5x + 1
2x * 3
6
Answer:
Area of shaded region=[6×(5x+1)]-[4×(2x+3)]
=(30x+6)-(8x+12)
=30x+6-8x-12
=30x-8x+6-12
=24x-6
Markes recipe for 24 cookies calls for 2½ cups of flour.How much flour will markes need to make 60 cookies?
Answer:
6 1/4 cups of flour
Step-by-step explanation:
24/2 = 12
2.5/2 = 1.25
12 x 5 = 60
1.25 x 5 = 6.25 cups
For every 24 cookies Markes needs 2.5 cups of flour. So, for 12 cookies he needs half of that which is 1.25 cups. 12 is a fifth of 60, so we multiply 1.25 by 5 which gives us 6.25 cups of flour. :D
What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3
Answer:
the answer would be x^2 - 2x + 3
have a good day !! :D
Step-by-step explanation:
Answer:
D. x2 – 2x + 3
Step-by-step explanation:
Edge 2023
How to solve -3/9 + ( -2 9/10)
[tex] - 3 \sqrt{8 + ( - 2 \times \frac{9}{10} } [/tex]
9514 1404 393
Answer:
-3 7/30-7.46994Step-by-step explanation:
We understand this to be two separate problems.
-3/9 +(-2 9/10) = -(3/9 +2 9/10)
= -(10/30 +87/30) = -97/30 = -3 7/30
__
-3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994
__
Additional comment
A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)
A motorist drives on a state road to and from work each day and pays $3.50 on tolls one-way.
(a) Write a model for the cost for tolls C (in S) for x working days.
(b) The department of transportation has a prepaid toll program that discounts tolls for high-volume use. The motorist can buy a pass for $112 per month. How many working days are required for the motorist to save money by buying the pass?
The model for the tolls cost is C= ?
Answer:
Step-by-step explanation:
What are the solutions of the following system?
[x2 + y2 = 25
2x+y=-5
0 (0,-5) and (-5, 5)
O (0, -5) and (5, -15)
O (0,-5) and (-4, 3)
O (0, -5) and (4, -13)
Answer:
5h-fgtx56=y2-6
Step-by-step explanation:
sorry if wrong:(
How much he makes in 1 hour.
Answer: $14.5
Step-by-step explanation:
The conference will begin at 8:30 a.m. and will last 5 hours 45 minutes. What time will the conference be over?
Answer:
The conference will be over at 2:15 pm.
Step-by-step explanation:
PLEASE HELP POINTS AND BRAINLIEST WILL BE GIVEN
Answer:
- 376
Step-by-step explanation:
8u = 8(- 8i + 3j ) ← multiply each element by 8
= - 64i +24j
Then
(- 64i + 24j ) • (4i - 5j )
= (- 64 × 4) + (24 × - 5)
= -256 + (- 120)
= - 256 - 120
= - 376
I need to know
give 20 points to who answers this right.
Step-by-step explanation:
I believe it's 16 1/2. I just used MathPapa lol.
You need at least $635 to go on a trip to Washington, DC. You already have $75 saved for the trip. You decide to save an additional $65 per week. Which inequality shows the number of weeks, , you need to save to be able to go on the trip?
Step-by-step explanation:
635 - 75= 560 is the money u need to save
560 ÷ 65 = x the n of weeks
=8.6 weeks
What is the probability of drawing a red card or a queen from a standard deck of 52 cards?
7 over 13
15 over 26
1 half
1 over 26
Answer:
4
456
4567
456
Step-by-step explanation:
What is the probability of drawing a red card or a queen from a standard deck of 52 cards?
7 over 13
15 over 26
1 half
1 over 26
The probability for red card or queen is given as 15/26. The correct option is (B).
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total number of red cards in the deck is 26.
And, the number of queens in the deck is 4.
Now, the probability of getting red card is given as,
P(red cards) = Number of red cards ÷ Total number of cards
⇒ P(red cards) = 26/52 = 1/2.
Similarly, the probability of queen is,
P(queen) = 4/52 = 1/13
Thus, the probability of drawing a queen or red card is given as,
P(red card or queen) = P(red card) + P(queen)
⇒ P(red card or queen) = 1/2 + 1/13 = 15/26.
Hence, the probability of drawing a red card or a queen from a standard deck of 52 cards is 15/26.
To know more about probability click on,
https://brainly.com/question/11234923
#SPJ2
Which expression is equivalent to (3−22)+5?
All the Second 2s are exponent
5−22
22−5
5−32
32−5
Answer:
3²-5
Step-by-step explanation:
(3-2²)+5=4
3²-5=4
Answer:
D
Step-by-step explanation:
First off, lets simplify (3-2^2)+5 = -1+5 = 4
We will need to find an expression that will equal to 4
lets try 1, 5-2^2 = 1, 1 =\ 4
Alright, lets try 2, 2^2 -5 = -1, -1=\5
Now lets try 3, 5 - 3^2 = -4, -4=\4
So by process of elimination we can say that D is correct by I will show you why it is correct. 3^2 -5 = 4, 4=4
If you have any questions ask me.
Hope it helped :)
Could you help please i really dont get it
Answer:
[tex]3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}[/tex]
Answer:
1.65
Step-by-step explanation:
5.61/3.4=1.65
Is this correct i am not sure
Answer:
YesStep-by-step explanation:
Collinear points are the points on the same line.
We see that points E, B and F are part of same line n.
Your answer is correct.
Answer:
EBF points are coplaner
Step-by-step explanation:
Coplaner points are the points which are ColinearThey are situated in one line .If a customer orders a sandwich with cheddar cheese and only one type of meat, how many different sandwiches are available?
Meats: ham salami turkey
Cheeses: cheddar Swiss Colby
A, 1
B, 3
C, 4
D, 6
What operation on both sides of the equation 6x=42 isolates the variable on one side? There may be more than one correct answer.
A. Subtracting 6x
B. Adding 6
C. Dividing by 6x
D. Dividing by 6
E. Multiplying by 6
F. Multiplying by 1/6
G. Dividing by 42
Answers:
D. Dividing by 6
F. Multiplying by 1/6
Step-by-step explanation: Dividing both sides by 6 and Multiplying by 1/6 will isolate the variable on one side because we will get the value of what x is equal too. X is equal to 7.
Answer:
D,E,F,G
Step-by-step explanation:
If gross income on a property is $84,000, net income is $40,000, and the cap rate is 7%, the value of the property using the Income Capitalization Approach is? (Round to the nearest $100)
Answer:
571,400
Step-by-step explanation:
dndkdns. dkxjdsjos snxksnns sjxsn đón d
Ten less than the product of 5 and the difference of a number and one is twice the number. What is the number?
Answer: 5
Step-by-step explanation:
5(n-1)-10=2n
5n-5-10=2n
5n-2n = 10+5
3n = 15
n = 15/3
n = 5
two i others ways to name
Answer:
What do u mean? i guess toby or biannca
Step-by-step explanation:
Create a scale drawing of the Colombian flag with a scale of 2 cm to 1 ft