Answer:
f(x)=-18x^2
Step-by-step explanation:
Given:
1+Integral(f(t)/t^6, t=a..x)=6x^-3
Let's get rid of integral by differentiating both sides.
Using fundamental of calculus and power rule(integration):
0+f(x)/x^6=-18x^-4
Additive Identity property applied:
f(x)/x^6=-18x^-4
Multiply both sides by x^6:
f(x)=-18x^-4×x^6
Power rule (exponents) applied"
f(x)=-18x^2
Check:
1+Integral(-18t^2/t^6, t=a..x)=6x^-3
1+Integral(-18t^-4, t=a..x)=6x^-3
1+(-18t^-3/-3, t=a..x)=6x^-3
1+(6t^-3, t=a..x)=6x^-3
That looks great since those powers are the same on both side after integration.
Plug in limits:
1+(6x^-3-6a^-3)=6x^-3
We need 1-6a^-3=0 so that the equation holds true for all x.
Subtract 1 on both sides:
-6a^-3=-1
Divide both sides by-6:
a^-3=1/6
Raise both sides to -1/3 power:
a=(1/6)^(-1/3)
Negative exponent just refers to reciprocal of our base:
a=6^(1/3)
Need help with math
I have no idea math should have been working hade books bye sorry
Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle
C
Answer:
m∠C = 72°
Step-by-step explanation:
The sum of the angles in the triangle is 180°.
A +B +C = 180°
(2x +11)° +(3x -8)° +(4x -12)° = 180°
9x = 189 . . . . . . . . divide by °, add 9
x = 21 . . . . . . . . . divide by 9
Angle C is ...
(4x -12)° = (4(21) -12)° = 72° . . . . angle C
_____
Additional comment
Angle A is 53°; angle B is 55°.
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12
Step-by-step explanation:
6y +4x=-12
6y=-4x-12
y= -4/6x -12/6
y= -2/3x -2
A chi-squared curve is symmetric about 0
Answer:
The answer is false
Step-by-step explanation:
Unlike any symmetric distribution, the chi-square distribution is non-symmetric. Accordingly, this statement cannot be trusted—b.
As chi-square does not depend on all degrees of freedom, it is a non-symmetric distribution that excludes symmetric data.
PLZ HELP!!! I WILL GIVE CORRECT ANSWER BRAINLIEST!!!
QUESTION: Find three consecutive integers where the sum of the first and the twice second is 35.
Answer:
11, 12, 13
Step-by-step explanation:
let's put the first number of the three as a:
a; a+1; a+2
The sum of the first and the twice second is 35 means:
a + 2(a+1) = 35
a + 2a + 2 = 35
3a = 33
a=11
now that we know a, we just need to add 1 and 2 as they are consecutive:
11, 12, 13
What is the first number in the sequence?
Answer:
Step-by-step explanation:
Let "n" be the first number
n + (n + 2) + (n + 4) + (n + 6) = 36
4n + 12 = 36
4n = 24
n = 6
as "n" itself is even, it qualifies
6 + 8 + 10 + 12 = 36
The function y = 4x + 3 describes Player A's
scores in a game of trivia, where x is the number of
questions answered correctly and y is the score. The function
represented in the table shows Player B's scores. What do
the rates of change tell you about how each player
earns points?
The rates of change of points earned by both players tell us that;
Player A gains more point than Player B does for each correct answer in this round.
We are told that x is the number of
number ofquestions answered correctly and y is the score.
Now, for player B;
For 1 correct answer, he got a score of 4
For 2 correct answers, he got a score of 5
For 3 correct answers, he got a score of 6
For 4 correct answers, he got a score of 7
This means that rate of change of Player B is;
3 points for every extra question answered correctly. .
Now, the formula for player A's points is;
y = 4x + 3
Rate of change of points here is gotten by finding the derivative. Thus;
dy/dx = 4
This means player A earns 4 points for every extra question answered correctly.
In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.
Read more on slope intercept form of equation at; https://brainly.com/question/19249035
what is the value of the expression when a=5, b=4, and c=6?
4a/2b-c
a. 2
b. 5
c. 9
d. 10
Answer:
D
Step-by-step explanation:
Pluck in the values, we have:
4.5/2.4 - 6 = 20/2 = 10
Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}
Step-by-step explanation:
it is 50 km in total.
30 km are already covered by the initial rental amount (4000).
what is left is 50-30 = 20 km.
for these 20 km he has to pay 200 for every 5 km.
how many 5 km units are in 20 km ?
well, 20/5 = 4
so, he needs to pay additionally 200×4 = 800php.
therefore, the total cost will be
4000 + 800 = 4800php
Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)
Answer:
B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]
Step-by-step explanation:
[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]
Hope this helps
Two angels in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of there interior angles?
Answer:
45°, 45°, 90°
Step-by-step explanation:
You have described an isosceles right triangle. The angle measures are ...
45°, 45°, 90°
_____
If x is the smaller angle measure, then the total of angles is ...
x + x + 2x = 180°
x = 180°/4 = 45°
In November 2017, the monthly profit of a company was £9,197
In December, Christmas increased sales and the profit has doubled.
What was the company's profit in December 2017?
Answer:
18394
Step-by-step explanation:
9197 × 2 = 18394 You double 91972
to work out the profit in December
a farmer is creating a budget for planting soybeans and whet. planting soybessns cost $200 an acre and planting wheat cost $500 per acre. he wants to spend no more than $100000 planting soybeans and wheat.
Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?
Answer:
y=1.09x
Step-by-step explanation:
Solve for x&y using substitution but do it step by step
Answer:
x +2y = 2 ...... 1
7x + 10y = 2 ..... 2
x = 2 - 2y ..... 3
substitute 3 in 2
7(2 - 2y) + 10y = 2
14 - 14y + 10y = 2
14 - 4y = 2
- 4y = 2 - 14
- 4y = - 12
divide by - 4 on both sides
y = 3
substitute the value of y in 3
× = 2 - 2(3)
x = - 4
(x ; y )
(- 4 ; 3)
x and y simplifying problem. Please explain how to do thiese. I will gove 15 points
[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]
First, combine like terms:
[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]
Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.
[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]
[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]
So the simplified expression would be
[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]
can someone help me with this math problem?
Answer:
∠ B ≅ ∠ E
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent
ABC ≅ DEF
The corresponding angles are B and E
Answer:
The answer is [tex]\angle B\cong \angle E[/tex]
Step-by-step explanation:
Given that
[tex]\Delta ABC \cong \Delta DE[/tex][tex]F[/tex]
Hence corresponding angles are congruent
[tex]\angle B\cong \angle E[/tex]
)) The volume of a pyramid with base area B and height his Bh. Jill makes candles
shaped like pyramids to sell at a craft fair. The candles are 6 inches tall and have a base area
of 4 square inches.
1) What is the volume of one of the candles?
1) Write your answer as a whole number or decimal.
cubic inches
Submit
Answer:easy it’s 8
Step-by-step explanation:I just did that same ixl/quiz!
Please look for the question in the picture.
Answer:
-12.5
Step-by-step explanation:
-7x+8+11x=-42
-7x+11x=-42-8
4x=-50
x=-12.5
Hope this helped! :)
Hey There!
Question:-
[tex] \sf \: - 7x+8+11x= - 42[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]
Combine Like terms:-
[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]
On Simplification :-
[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]
Subtract 8 from both sides:-
[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]
On Simplification:-
[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]
Note that (-) and (-) equals to (+).
[tex]\sf \longmapsto \: 4x = - 50[/tex]
Divide both sides by 4:-
[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]
Or in Decimal :-
[tex]\sf \longmapsto \: x = -12.5[/tex]
______________________________________
Henceforth, the value of x is :-
[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]
In Decimal:-
[tex] \boxed{\huge\red{ x = -12.5}}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
answer is below
Step-by-step explanation:
ok so i kinda want u to learn so im just gonna tell you how to do them!
for the first set, what you do is put (y2-y1)/(x2-x1). for example, (16-6)/(3-18) is the slope.
for the second set, every problem is in y=mx+b form, where m is the slope. so for example in 37 the slope is 1/2
for the third set, use midpoint formula. x is (x1+x2)/2, and y is (y1+y2)/2
hope this helps!
(a) The area of a rectangular parking lot is 7050 m².
If the length of the parking lot is 94 m, what is its width?
(b) The perimetel of a rectangular pool is 356 m.
If the width of the pool is 82 m, what is its length?
Length of the pool: Im
Answer:
75 m, 96 m
Step-by-step explanation:
a. Area = length x width
7050 = 94 x width
7050/94 = w
75 m is width
b. perimeter = 2L + 2W
356 = 2L + 2(82)
356 = 2L + 164
192 = 2L
96 m = L
alguien podria ayudarme?
Answer:
con que?
Step-by-step explanation:
£4800 is divided among three brothers
A, B and C. A receives three times as much as B and C receives twice as much as B. If B receives $x, form an equation in x.
Answer:
A: 2400
B: 600
C: 1800
Step-by-step explanation:
A= x+3x=4x
C = x+2x= 3x
4x+x+3x = 4800
8x= 4800
x= 600
share of A= 2400$
share of B= 600$
share of C= 1800$
Solve each inequality 3+1/2(3-x)<-7
Answer:
You can download app to help you I hope you find your answer
Which equation matches the graph?
Answer:
i think 4x+3y = -24 is answer
If you subtract 3 from twice a number,the result is 25.find the number
14
This should be right!
I need the correct answer to this problem please
please please help!
Answer:
Option B is the correct answer
Step-by-step explanation:
Given that
[tex]\sin \theta =\frac{-1}{\sqrt{2}}[/tex]
Value of sine function is negative in third and fourth quadrant
Hence this is true for
[tex]\theta =225^{0},315^{0}[/tex]
Option B is the correct answer
Twice a number is 46 less than 4 times the number. Find the number.
Answer:
23
Step-by-step explanation:
let the number be n then twice the number is 2n and 4 times the number is 4n
Then
2n = 4n - 46 ( subtract 4n from both sides )
- 2n = - 46 ( divide both sides by - 2 )
n = 23
The number is 23
Answer:
34.5
Step-by-step explanation:
23 x 2 = 46 less than 4 times = 11.5
46 - 11.5 = 34.5
26.52 x 90.7 step by step
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]
[tex]OR:[/tex]
Here's a paper I wrote of your answer.
Sorry, if my picture is blurry.
Hopefully, this helps you!!
[tex]Sokka[/tex]