Answer:
x = -2/15.
Step-by-step explanation:
Finding the second derivative:
f'(x) = 15x^2 +4x - 3
f"(x) = 30x + 4
30x + 4 = 0 for a point of inflection
x = -4/30 = -2/15
So 30x + 4 is negative up to x = -2/15 and positive thereafter.
So the curve passes from concave downward to concave upward at x = -2/15.
Answer:
[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]
Step-by-step explanation:
to figure out the infection point
take derivative both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {5x}^{3} + 2 {x}^{2} - 3x[/tex]
By sum derivation rule we acquire:
[tex] \displaystyle \rm f'(x) = \frac{d}{dx} {5x}^{3} + \frac{d}{dx} 2 {x}^{2} - \frac{d}{dx} 3x[/tex]
apply exponent derivation rule which yields:
[tex] \displaystyle f'(x) = {15x}^{2} + 4{x}^{} - 3[/tex]
take derivative in both sides once again which yields:
[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - \frac{d}{dx} 3[/tex]
remember that, derivative of a constant is always 0 so,
[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - 0[/tex]
by exponent derivation rule we acquire:
[tex] \rm\displaystyle f''(x) = {30x} + 4{}^{} [/tex]
substitute f''(x) to 0 figure out the x coordinate of the inflection point:
[tex] \rm\displaystyle {30x} + 4{}^{} = 0[/tex]
cancel 4 from both sides:
[tex] \rm\displaystyle {30x} = - 4[/tex]
divide both sides by 30:
[tex] \rm\displaystyle {x} = - \frac{2}{15} [/tex]
now plugin the value of x to the given function to figure out the y coordinate of the inflection point:
[tex] \rm \displaystyle f(x) = {5 \left( - \frac{2}{15} \right) }^{3} + 2 {\left( - \frac{2}{15} \right) }^{2} - 3 \left( - \frac{2}{15} \right)[/tex]
By simplifying we acquire:
[tex] \displaystyle f(x) = \frac{286}{675} [/tex]
hence,
the coordinates of inflection point are
[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]
Can anyone help ? I’m bad at math
Answer:
Step-by-step explanation:
First you need the third angle (C).
<C + 89 + 45 = 180 All triangles = 180 degrees. Combine the left terms.
<C + 134 = 180 Subtract 134 from both sides
<C = 180 - 134
<C = 46
Next, Let BA = x
x/Sin(46) = 15/Sin(89)
x = 15*sin(46) / Sin(89)
Sin(46) = 0.7193
Sin(89) = 0.9998
x = 0.7193 * 15 / 0.9998
x = 10.7911
Note
When you are studying this material, you should note 2 things.
The first is that you are dealing with 2 ratios that are equal to each other.The second is, the side is always opposite the angle in the triangle. The two are connect. Side c = 15. It is opposite the 89o angle.Solve the equation. Then check your solution. – two-fifths + a = One-fifth a. Three-fifths c. StartFraction 3 Over 10 EndFraction b. Negative one-fifth d. Negative three-fifths Please select the best answer from the choices provided A B C D
Answer:
A . a = 3/5
Step-by-step explanation:
- 2/5 + a = 1/5
Add 2/5 to each side
-2/5 + a + 2/5 = 1/5 + 2/5
a = 3/5
Therefore a = 3/5
If my answer is incorrect, pls correct me!
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-Chetan K
12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.
Answer:
tangent 59° = Tree height / 45 feet
Tree Height = 1.6643 * 45
Tree Height = 74.8935 Feet
Step-by-step explanation:
Please help me with this!!!!!!!!!!!!!!! MATHHHHHH
find the x intercept of 3x²-5x-28=f(x)
Answer:
x+ 4, -7/3
Step-by-step explanation:
Find the area of the trapezoid 12in 11in 8in???
HELP ME PLEASE!!!
Answer:
formula: A= a+b/2 times height
So 12+8=20/2=10x11=110
Step-by-step explanation:
10) A 15% tip is left on a $72.25 dinner bill. How
much is the tip? Round to the nearest hundredth
plz plz help me for math
Answer:
Oasis idiot and a good time in the day before
find the rational number between-5/6 and -3/8
help me
Answer:
-2/5
-4/9
Step-by-step explanation:
-5/6 = -0.83333 (three's keep repeating)
-3/8 = -0.375
the above are both rational because they result in a repeating or terminating decimal
There are an infinite number of rational numbers between the two listed above but here are some:
-2/5 = -0.40 (terminates)
-4/9 = -0.4444444 (fours keep repeating)
-1/2 = -0.50 (terminates)
-3/4 = -0.75 (terminates)
A boy has a weekend job advertising an upcoming play. He has 2 options for being paid. Option A is an hourly wage of $7.00. Option B is a 5% commission on all money made at the play she plans to work 8 hours each day on Saturday and Sunday. He estimates the play will make about $2,100 this weekend. Which option gives him more earnings this weekend?
Answer:
He would be paid more if he took the hourly wage//option A
Step-by-step explanation: hope this helps<3
sunita has to ribbons of lengths 25 inches and 35 inches he want to cut the Ribbon into strips of equal length what is the longest possible length for the strips
Answer:
5 cm
Step-by-step explanation:
Need explanation for this question please
A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing that: She plans to drive 125 miles. She has at most $230 to spend. Write and solve an inequality which can be used to determine xx, the number of days Jaya can afford to rent while staying within her budget.
Answer:
Jaya can afford to rent a car 4 days while staying within her budget.
Step-by-step explanation:
The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:
53.75x+0.12y≤230, where:
x is the number of days the car is rented
y is the number of miles driven
As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:
53.75x+0.12(125)≤230
53.75x+15≤230
53.75x≤230-15
53.75x≤215
x≤215/53.75
x≤4
According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.
. If Shawn rides his bike ¾ mile every ½ hour, how many miles does he bike per hour?
Answer:
1 1/2 mile or 6/4 mile
Step-by-step explanation:
Every half hour he rides 3/4
Just multiply 3/4 by 2 which equals 6/4 or 1 1/2
Help!! It's question 14
Answer:
200/120 = 5/3
5/3 x 3 = 5 oz
you can also do it this way:
3/120 = x/200
x = 600/120 = 5
Determine the y-intercept of the following equation. help pls
Answer:
0,8
Step-by-step explanation:
(-x-2)(x-4)=y
To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.
(-0-2)(0-4)=y
(-2)(-4)=8
y=8
0,8
Which of the expressions below is equal to 24/18? Select all that apply.Which of the expressions below is equal to 2418? Select all that apply.
Answer:
A, B, D
Step-by-step explanation:
Given that :
24 / 18 = 4 / 3 = 1.333
Comparing the options solutions for the options given :
3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333
4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333
5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18
8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333
Hence, expressions which are equal are :
A, B and D
What is the answer to this?
Answer:
Area = 1514 m^2
Step-by-step explanation:
Total Area = area of rectangle + area of circle
= (60 m × 20 m) + πr^2
= (1200 m^2) + (3.14)(10 m)^2
= (1200 m^2) + (314 m^2)
= 1514 m^2
is this a polygon or not a polygon
This is not a polygon as it has a section (at the bottom) which is composed of non-straight segments.
There are two precalculus sections at a high school. Mr. Abel's class has 14 girls and 8 boys, while Mr. Bonitz's class has 12 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answer:
14/46
Step-by-step explanation:
Find the sum of the series please
Answer:
12
Step-by-step explanation:
This is considered a geometric series.
a = 4
r = 2/3
[tex]Sum = \frac{a}{1-r}[/tex]
[tex]Sum = \frac{4}{1-\frac{2}{3} } =12[/tex]
Take(10 2+7−3)from(4 2−9+12)
Answer: -13
How to: Simplify the expression.
Answer:
0 is less than 2 is equal to 2
0/
1
< 2/
1
= 2/
1
The list price of a furnace is $2,468.00. The manufacturer offers a discount of 15 percent. The net price is
$2,097.80.
$370.20.
$209.78.
$3,702.00.
Answer:2,097.80
Step-by-step explanation: If you multiply the 2,468.00 to 0.85% you will get the answer of 2,097.80.
Answer:
$2,097.80
Step-by-step explanation:
$2,468.00 - 15%
$2,468.00 * 0.15 = $370.20
$2,468.00 - $370.20 = $2,097.80
(Just another way to do it)
Find the number of unique permutations of the letters in each word.
5) CORRIDOR
6) NUMBER
Answer:
Ur Answer is 5 one CORRIDOR
The number of unique permutations of the letters CORRIDOR is 3360
The number of unique permutations of the letters NUMBER is 720
What is Permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items in a certain order.
[tex]\frac{n!}{mA!mB!......mZ!}[/tex]
In the given word
CORRIDOR
There are 7 letters in which "O" repeats 2 times and "R" repeats 3 times.
Then n = 7 , A = 2 and B = 3
Put values in above formula
Then,
= [tex]\frac{7!}{2!3!}[/tex]
= [tex]\frac{7\times6\times5\times4\times3\times2\times1}{2\times3\times2}[/tex]
= 3360
Similarly
NUMBER
There are 6 letters in which no letter repeats
means A = B = .......= Z = 1
Put values in above equation
= [tex]6![/tex]
= 720
Hence,
The number of unique permutations of the letters CORRIDOR is 3360.
The number of unique permutations of the letters NUMBER is 720.
Learn more about permutation:
https://brainly.com/question/121616
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The train is travelling with the speed of 90km/hr. What is the distance covered in 2min?
We are given:
Speed of the train = 90 km/h
Converting the speed to km per minute:
[tex]90\frac{km}{h}* \frac{h}{60 min}[/tex] [since 1 hour = 60 minutes, h/60 minutes is equal to 1]
The 'h' in numerator and denominator will cancel out
90km / 60 min
1.5 km/min
Distance travelled in 2 minutes:
Distance = Speed * time
Distance = [tex]1.5\frac{km}{min}* 2 min[/tex]
Distance = 3 km
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $11.50. The auditorium can hold at most 81 people. The drama club must make at least $760 from ticket sales to cover the show's costs. If 43 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Answer:
the closest I found was 79
Step-by-step explanation:
8×43=344
760-344=416
416÷11.5=36.173
36+43=79
please help in this........
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GIVEN THAT AD = 5 and BC = 24, what is the radius of circle A?
Answer:
12
Step-by-step explanation:
B to C looks like your diameter so half of 24 is 12.
Which expression represents the following?
Add 450 to 348, and then multiply by 7.
Answer:
(450 + 348) · 7
equals 5586
Step-by-step explanation:
find the answer of 450 and 348, then multiply the answer by 7
Answer:
(450 + 348) x 7
Step-by-step explanation:
1. a box contains 11 pink 8 blues and 9 orange marbles. If you pick two marbles without looking , what is the probability that the first will be orange and the second will be pink?
2. You accidentally dropped a coin from the top of 10 stairs. What is the probability that it will land heads up on the seventh step?