Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
HELPPPPP ASAPPPPP 30 pointsss!!!!!
A It is lunch time at I.S. 237 and the table below lists the lunches that have
been served so far. Based on the results in the table, what is the
probability the next student will choose pizza?
Answer:
3/10
Step-by-step explanation:
The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost
Net games 99$ 8$
Equipment cost mouthy fee
anytime games 19$ 19$
1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should purchase.
Answer:
Here's what I get
Step-by-step explanation:
Total cost = equipment cost + monthly fee × number of months
Let C = total cost
and e = equipment cost
and f = monthly fee
and x = number of months. Then
C = e + f·x
The condition is that C ≤ $175 or
e + f·x ≤ $175
1. NetGear
e = $99; f = $5/mo
The condition is
99 + 5x ≤ 175
[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]
The centre could rent the games for 15 mo.
They would pay $99 for the equipment.
Fifteen months rental at $5/mo = $75.
Total cost = $174.
2. Anytime Games
e = $19; f = $19/mo
The condition is
19 + 19x ≤ 175
[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]
The centre could rent the games for eight months.
They would pay $19 for the equipment.
Eight months rental at $19/mo = $152.
Total cost = $171.
3. Recommendation
The Community Centre should rent from NetGear.
They can rent for 15 mo without going over the budget.
With the other company, they can rent for only eight months.
The graphs below show how the costs for the two companies vary with the number of months.
Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.
Size
Small
Medium
Large
Cost
$2.25
$2.50
$2.75
The table above shows the cost of drinks at
Lydia's Lemonade Stand. If the store make $250
on a certain day and twice as many medium
sized drinks as either small or large sized drinks,
how many large sized drinks did the store sell?
E. 15
F. 20
G. 25
H. 50
(URGENT)Determine the cross product of the vectors: x x y
x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)
Distribute the cross product:
x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)
........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)
........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)
x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)
........... + 91 (i x j) + 28 (j x j) - 63 (k x j)
........... - 52 (i x k) - 16 (j x k) + 36 (k x k)
By definition of the cross product, we have
i x i = j x j = k x k = 0
i x j = k
j x k = i
k x i = j
and for any two vectors x and y, the product is anti-symmetric:
x x y = -(y x x)
This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:
x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)
x x y = 95 k + 61 j + 47 i
x x y = 47 i + 61 j + 95 k
A.-4
B.4
C.1/4
D.-1/4
I need help I’m confuse
Answer:
The answer is 4/B
Step-by-step explanation:
Mark me brainiiest.
Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.
Answer:
3/4
Step-by-step explanation:
I need help with this question get brailiest
Answer:
Mini golf: $10.00, batting cage: $2.50
Step-by-step explanation:
We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.
Let m=mini golf price, and b=batting cage price.
Then 5m+4b=60 and 3m+6b=45.
We can multiply the first equation by 3 and second by 5 to get
15m+12b=180
15m+30b=225
Subtract the two to get -18b=-45, so b=45/18=$2.50
Then m=$10 if you substitute b back in the first equation.
Hope that helped,
-sirswagger21
Answer:
mini golf10:00 batting cage 2:50
Step-by-step explanation:
Max climbs a hiking trail at a constant rate of 18 meters in 15 minutes. The line y = mx can be used to model Max's climb, where y is the distance he climbs and x is the time in minutes. Which is the slope of the line, m?
Answer:
18y=15mx/m
Step-by-step explanation:
that's the set up
answers ? Idk how to do this
Answer:
Step-by-step explanation:
ghjikop0987trsxzcvbhtrdxc vbhgfc
How to make 24 using 13,6,9,3
If p ⊥ q, which of the following statements is true for the given figure? answers: A) ∠1 ≅ ∠3 B) ∠1 + ∠2 ≅ ∠3 + ∠4 C) ∠1 + ∠3 ≅ ∠2 + ∠4 D) ∠1 + ∠4 ≅ ∠2 + ∠3
Answer:
B
Step-by-step explanation: The givens are that line p is perpendicular to line q, so you know that angle 1 + angle 2 = 90 and angle 3 + angle 4 are 90 degrees. You can not tell by looking at the picture any other information, so you can only tell that angle 1 + angle 2 is congruent to angle 3 + angle 4.
Answer:
B is the right answer
Step-by-step explanation:
Which graph represents the function f(x)=3x5^x
Answer:
top right corner
Step-by-step explanation:
Please Help!!
What is the measure of angle AXB?
Answer:
Step-by-step explanation:
Two angles are supplementary when their sum is 180
∠AXB + ∠BXC = 180° {Supplementary angles}
8x + 10 + 2x - 20 = 180
Add the like terms
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19°
∠AXB = 8x + 10
= 8 * 19 +10
= 152 + 10
∠AXB = 162
Answer:
180 degrees
Step-by-step explanation: the measure of angle AXB is ( a + a ) and the sum of the measured angles AXB and BXC = 180 , so a + ( a + a) = 180.
both these angles add up to be 180 degrees because they are both supplementary angles they both share the sides of x and b.
if it confuses you, just use a bit of repeated addition and multiplication
for example : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150
because you add 30 , 5 times .
Suppose that f(5) = 1, f '(5) = 4, g(5) = −8, and g'(5) = 7. Find the following values.
The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?
PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT
15 POINTS
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,
x + (x+1) = -15
2x + 1 = -15
2x = -16
x = -8
Thus, the smaller integer is -9 and the larger integer is -8.
Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.
Smaller Interger = -9 + 1 = -8
Larger Integer = -8 - 2 = -10
Further, the product of the two resulting integers is,
Product = -8 × -10
= 80
Hence, the product of the two resulting integers is 80.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
Does anyone know the answer?
[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Answer:
[tex]210 \: \: \: degrees[/tex]
Step-by-step explanation:
Two equilateral triangles and a square are join together.
So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.
Also in a square all the angles are equal . it measures 90 degrees.
x = two triangle = 60 +60
square = 90
[tex]60 + 60 + 90 \\ = 210[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.
Answer:
1. D
2. A
Step-by-step explanation:
Brainliest please?
what’s the best answer ???
Answer:
Option A
Step-by-step explanation:
Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-4,3) and (3,1).
[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]
Option A should be the correct answer.
help help help help help help help
Answer:
The answer would be C
Step-by-step explanation:
What is the value of x in the equation 8 + 4 = 2 (x minus 1)? 5 StartFraction 11 Over 2 EndFraction StartFraction 13 Over 2 EndFraction 7
Answer:
7
Step-by-step explanation:
We can simplify the equation to
12 = 2x - 2
Add 2 to both sides
14 = 2x
Divide by 2
x = 7
Answer:
7
Step-by-step explanation:
Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.
If p = a number is negative and g = the additive inverse is positive, the original statement is p - 9.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is p -9.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~g - p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is perq.
Ulf g = a number is negative and p = the additive inverse is positive, the converse of the original statement is 9 - p.
Step-by-step explanation:
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
A carnival charges $7 to enter the carnival and $3 per ride. How many rides can you go on if you have a $50 bill?
Equation:
Answer:
you can go on 6 rides if you have $50
Step-by-step explanation:
50-7= 43
43/7= about 6
PLEASE HELP! WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!
There are n gallons of gas in a tank. After x gallons have been used, in terms of n and x, what percent of the gas has not been used?
Answer:
((n-x)/n)*100
Step-by-step explanation:
The Answer is:
((n-x)/n)100
plz help me with these problems
Answer: number 16 is d
number 20 is d
Step-by-step explanation:
Answer:
The answer for 16 is A, the answer for 20 is D, and the answer for 25 is A
Step-by-step explanation:
For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.
For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces
For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.
A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4
Answer:
[tex]D = 1 - \frac{1}{4}[/tex]
[tex]D = \frac{3}{4}[/tex]
Step-by-step explanation:
Given:
1 bag of potting soil
[tex]Peat Moss = \frac{1}{4}[/tex]
Required
What part is dirt?
The whole bag of potting soil is represented as 1;
Let P represent Peat Moss and D represented Dirt; Such that
[tex]P + D = 1[/tex]
Subtract P from both sides
[tex]P - P + D = 1 - P[/tex]
[tex]D = 1 - P[/tex]
Substitute [tex]\frac{1}{4}[/tex] for P
[tex]D = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]D = \frac{4-1}{4}[/tex]
[tex]D = \frac{3}{4}[/tex]
Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt
the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3
Answer:
the correct answer should be -2.65
Step-by-step explanation:
the mistake is dividing 17y by 15 instead of 17
HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2
Answer:
D. m³+m²
Step-by-step explanation:
If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:
2m² -7m²+m³+6m²
m²+ m³
Answer:
other guy is right
Step-by-step explanation:
edg. 2020
a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers
Answer:
Step-by-step explanation:
6.8/3 is the scale factor
1.35*(6.8/3)=3.06
1.8*(6.8/3)=4.08
3.75*(6.8/3)=8.5
8.5-8.35=0.15
3.4-3.06=0.34
since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose
Option B is definetly right, but what about another option, is there an option D?
Consider the following linear system.
Answer:
k= 10
Step-by-step explanation:
2x - 5y = 15
ky = 20 +4x
Solve the first equation for y
-5y = -2x +15
Multiply by -2
10y = 4x - 30
If k = 10 then the slopes are the same, but the y intercepts are different.
The lines are parallel. They will never intersect, and they have no solution
Answer:
D
Step-by-step explanation:
- 5y = - 2x +15
10y = 4x - 30
if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.
Hope this helps!
Betty bought two bags full of books at an annual library book sale. If she
pays a total of $12.90 for both bags, of which $0.90 is tax, how much did
each bag of books cost?
Answer:
12.90= .90+ 2x
12=2x
6=x
Each bag of books cost was $6
Answer: the answer is $6
Step-by-step explanation:
Since Betty payed .90 cents on tax we can subtract this from the equation because we are just trying to focus on how much she spent on one bag. Now all we have left is $12. Then we would have to divide 12 by the number of bags she bought, so 2. 12 divided 2 equals 6, meaning Betty spent $6 per bag.
