Answer:
a) [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex].
b) [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].
Step-by-step explanation:
Let [tex]C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850[/tex], where [tex]x[/tex] is the quantity of insecticide, measured in hundreds of liters, and [tex]C(x)[/tex] is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of [tex]C(x)[/tex] are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
[tex]C'(x) = 3\cdot x^{2}-54\cdot x+240[/tex] (1)
Please notice that regions where C(x) is increasing has [tex]C'(x) > 0[/tex], whereas [tex]C'(x) < 0[/tex] when [tex]C(x) < 0[/tex].
We notice that [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex]. Besides, [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].
Help Hurry!!! Timed!!!!!
What is the solution to the inequality 14y−14≥14?
Answer:
[tex]y \geqslant 2[/tex]
Step-by-step explanation:
1. Add 14 to both sides.
[tex]14y \geqslant 28[/tex]
2. Divide both sides by 14.
[tex]y \geqslant 2[/tex]
Below are prices for various sizes of popcorn sold at the local movie theater. Match the popcom size to its correct price
per ounce
1 Mega Bag $10.24 for 32 02.
$028
2. Giant Bag $6.00 for 24 oz
$0.25
3 Medium Bag $4.48 for 16 oz.
$0.30
4 Kid's Bag: $2.40 for 8 oz.
$0.32
Answer:
1=0.32
2=0.25
3=0.28
4=0.30
Step-by-step explanation:
You want to divide each price by the ounces.
$10.24÷32 oz = $0.32
$6.00÷ 24=$.0.25
$4.48÷16=$0.28
$2.40÷ 8=$0.30
There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?
Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.
Write the decimal equivalent
Two hundred and thirty-four hundredths
An adult elephant drinks about 225 liters of water each day
I would be so happy if you helped me with this question:3
Answer:
650
Step-by-step explanation:
18,000-3,000
13,000
13,000 x 5%
$650
Answer:
$900.
Step-by-step explanation:
What number can you divide both 4 and 2 by?
Answer:
Well, an infinite amount of numbers. . .
Step-by-step explanation:
1 and 2 would work
DF bisects EDG. Find FG. The diagram is not to scale.
n + 5 = 2n - 6
n - 2n = -6 - 5
-n = -11
n = -11/-1
n = 11
FG = 2n - 6
FG = 2(11) - 6
FG = 22 - 6
FG = 16
Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
Edit
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Insert
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Table
Answer:
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Step-by-step explanation:
Given sequence is:
25, 21, 17, 13,...
Here
a1 = 25
a2 = 21
a3 = 17
First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.
So,
[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]
The explicit formula is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
Putting the value of a1 and d
[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]
Hence,
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
An ant is climbing up a branch that is tilted 60° to the ground. It moves at a constant velocity of 0.5 cm/sec. Find the set of parametric equations that describes the path of the ant’s travel. Assume the ant starts at the origin.
Answer:
the set of parametric equation would be x(t) = 0.25t, y = 0.43t
Step-by-step explanation:
The computation of the set of parametric equation would be
x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t
x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t
x(t) = 0.25t, y = 0.43t
Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t
The same is to be considered
The above equation represents the answer
For the entire practice:
1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]
2) B, 4 ft.
3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m
solve cos^30- sin^30
Answer:
hi
Step-by-step explanation:
hdisbkaab
bhai kyun dimag kharab kr raha hai chup chap apni mam se puchEvaluate x−y when x=23 and y=−13
Answer:
36
Step-by-step explanation:
The equation would turn out as 23--13
But when there are two negatives, it turns into a positive, creating the equation of 23+13
Then you add to equal 36.
Help usatestprep need answer
Answer:
one solution
Step-by-step explanation:
they only meet up once
get a new computer br.uh
Please Help Me. I am so mad at this freaking problem
Hii! Can someone please answer these quickly? I'm giving BRAINLIEST! ❤️
Answer:
1. 3
2. -45
3. -25
4. 220
5. 57
6. -100
7. -209
Answer:
1.) -7 + 10 = 3 (Different signs, so you subtract and keep the sign of the bigger number).
2.) -30 - 15 = -45 (same sign, so you just add and keep the same sign)
3.) 65 - 90 = -25 (Different signs, so you subtract and keep the sign of the bigger number).
4.) 100 + 120 = 220 (both positive,you add and keep the same sign, which is +)
5.) -32 + 89 = 57 (Different signs, so you subtract and keep the sign of the bigger number).
6.) 100 - 200 = -100 (Different signs, so you subtract and keep the sign of the bigger number).
2.) -75 - 12 = -87 (same sign, so you just add and keep the same sign)
4j + 4 =
Next, subtract 4 from both sides.
4j
Answer:
4j=-4
j=-1
Step-by-step explanation:
Answer:
4j=-4 j=-1
Step-by-step explanation:
What is the area of a square with side a = 3m?
Answer:
12
Step-by-step explanation:
Answer:
9 Square Meters
Step-by-step explanation:
3x3=9
Choose the one alternative that best completes the statement or answers the question
Answer:
B) 60
Step-by-step explanation:
5*2*3*2=60 types by multiplying all the categories together.
If
Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.
Step-by-step explanation:
5TH GRADE LEVEL QUESTION: look at photo and answer.
Answer 11/20
Step-by-step explanation:
Answer:
11/20
Step-by-step explanation:
3/4 - 1/5
Write all numerators above the least common denominator
15-4/20
Subtract numbers
11/20
Question 1
Convert the mixed number to an improper fraction.
Step-by-step explanation:
to convert a mixed number to an improper fraction: take the big whole new on the right and multiply it by the denominators or number on the bottom of the fraction. then add thay amount to the numerator, or number on top and leave the denominator as it was before
example: 2 3/5 = 13/5
you can dissect the example to figure out the formula (formula is the way to solve an equation)
Answer:
Since you didn’t give us a mixed number is to turn into an improper fraction, I’ll show you how to do it.
Step-by-step Explanation:
First, you need to multiply the denominator by the whole number. Then, add the numerator to it. Lastly, you need to put the same denominator in that was from the mixed number to get an improper fraction. I’ll give you an example:
Look at the diagram below ↓
You can see that you need to multiply the denominator 4 and the whole number 2, which gives you 8. Then you add the numerator 3 to 8, which gives you 11. Lastly, you need to use the same denominator from the mixed, which was 4, and put it with the 11 to get the improper fraction [tex]\frac{11}{4}[/tex].
I hope you understand and that this helps with your question :)
Help ASAP!!!!!!!!!!!!!!
Which expression represents the difference when (x^3+3x^2+5x-7) is subtracted from (2x^2-x+1)
Answer choices
1.) -x^3-x^2-6x+8
2.) -x^3-x^2-4x-8
3.) x^3-x^2-6x-8
4.) x^3-x^2-6x+8
Answer:A
Step-by-step explanation:
Which expression represents 5/8
8 divided by 3
8 divided by 5
5 divided by 8
3 divided by 8
Answer:
5 divided by 8
Step-by-step explanation:
/ is another symbol for ÷
Answer:
5 divided by 8
Step-by-step explanation:
slope = 2; y-intercept = -1
Answer:
line equation: y= 2x-1
Slope intercept formula
y=mx+b
m is also the slope
b is the y-intercept
y=2x+(-1)
+ positive sign and -negative sign= - negative sign
y=2x-1
Answer :
y=2x-1
What is 1.452 rounded to the nearest hundredth
Answer:
1.450
Step-by-step explanation:
what grade ar4e you in I'm guessing 4th or 5th
Are the two following expressions equivalent? ( yes or no ) 24x + 6y and 6(4x + y
Answer:
yes because on the second one you have to use the distribution property (multiply the term outside the parenthesis by the terms inside them)
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Distribute 6 to (4x+y), and you will get the same expression of 24x+6y.
4x times 6 = 24x
6 x y = 6y
24x+6y
PLEASE PLEASE PLEASE HELP!!!!!!!! I GIVE 100 POINTS!!!!!!!!!!!!!
Answer:
P = 11x + 14
Step-by-step explanation:
6x - 1 + 5x + 6 + 9
Move them around
6x + 5x - 1 + 6 + 9
Combine like terms
11x + 5 + 9
Add
11x + 14
Answer:
[tex]P=11x+14[/tex]
How is Triangle ABC similar to DBE?
Answer:
Triangle ABC is similar to triangle DBE: ∆ABC~∆DBE. ... Therefore, in conformity with first sign of the similarity of triangles, if two angles of one triangle are equal to two angles of another triangle, they are similar to each other. ∠BDE=∠BAC,∠BED=∠BCA ⇒ ∆ABC~∆DBE