Answer:
Convert to the form of fundamental theorem
[tex]y = \int_{1-6x}^1 \frac{u^3}{1+u^2}du= -\int\limits^{1-6x}_1 {\frac{u^3}{1+u^2} } \, du[/tex]
Step-by-step explanation:
Now, you can apply the theorem, that is [tex]y'= f(1-6x) \times (1-6x)' = -6 \frac{(1-6x)^3}{(1+(1-6x))}[/tex]
Simplify!!
Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow
Answer:
Probability 29%
Step-by-step explanation:
Answer:
65/139
Step-by-step explanation:
Just did this problem
Pls look at photos I’ll give 30 points
Find the distance between the two points (1,1) and (3,-4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(3-1)^2+(-4-1)^2}\implies d=\sqrt{2^2+(-5)^2}\implies d = \sqrt{29}[/tex]
Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?
Answer:
25.13ft
Step-by-step explanation:
The length of the fence will be the circumference.
[tex]C=2*pi*r=2*pi*8/2=8pi=25.13ft[/tex]
F(x)=2x^2+7 what is the value f(-2)
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
Write an equation for a rational function with:
Vertical asymptotes of x = 1 and x = 4
x intercepts at (-1,0) and (-6,0)
y intercept at (0,8)
Use y as the output variable. You may leave your answer in factored form.
Answer:
[tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
Step-by-step explanation:
Because x=1 and x=4 are the solutions to x-1=0 and x-4=0, then we have (x-1)(x-4) in the denominator.
Because (-1,0) and (-6,0) are the solutions to x+1=0 and x+6=0, then we have (x+1)(x+6) in the numerator.
Now we have [tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex] where we plug in (0,8) to solve for a:
[tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex]
[tex]8=\frac{a(0+1)(0+6)}{(0-1)(0-4)}[/tex]
[tex]8=\frac{6a}{4}[/tex]
[tex]32=6a[/tex]
[tex]\frac{32}{6}=a[/tex]
[tex]\frac{16}{3}=a[/tex]
Therefore, the equation for the rational function is [tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435
Answer:d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is the hypotenuse of a right triangle with a and b related by the statement a=b-5.
Answer:
c = 5b ±sqrt(-10(b+a)+2)
Step-by-step explanation:
By using the Pythagoras theorem,
c² = a² + b²
a = b-5
b = a+5
c² = (b-5)² + (a+5)²
c² = b²-10b+25 + a²+10a+25
c² = b²-10b-10a+50
c² = b²-10(b+a)+50
c = 5b ±sqrt(-10(b+a)+2)
5. Find cos theta if sin theta= -12/13
and tan theta > 0. (6 points)
[tex]\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}[/tex]
7/8 = ?/48
A. 1
B. 42
C. 6
D. 13
7/8= B. 42/48
#HOPE THIS HELP
Right triangles 1, 2, and 3 are given with all their angle measures and approximate side lengths. Use one of the triangles to approximate the ratio (KL)/(JL).
- 0.64
- 0.77
- 0.83
- 1.2
Answer:
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex] = 0.83
Step-by-step explanation:
The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).
We can find [tex]\frac{KL}{JL}[/tex] by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.
We can use this proportion:
[tex]\frac{KL}{6.4}[/tex] = [tex]\frac{JL}{7.7}[/tex]
[tex]\frac{KL}{6.4}[/tex] ⇒ opposite to 40° angle
KL, JL ⇒ ΔJKL
[tex]\frac{JL}{7.7}[/tex] ⇒ adjacent to 40° angle
6.4, 7.7 ⇒ triangle 3
[Now see the attachment]
Now we can rewrite the equation to show the ratios of the side lengths within each triangle.
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex]
[tex]\frac{KL}{JL}[/tex] ⇒ ΔJKL
KL, 6.4 ⇒ adjacent to 40° angle
[tex]\frac{6.4}{7.7}[/tex] ⇒ triangle 3
JL, 7.7 ⇒ adjacent to 40° angle
Answer: it’s 0.82
Step-by-step explanation:
work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
Answer:
1230
Step-by-step explanation:
[tex]\frac{\pi }{3}[/tex] x 49 x 24 = 1230 cm^3
Which statement best describes π?
A:Pi is the result of dividing a circle’s circumference by its radius.
B: Pi is the result of dividing a circle’s diameter by its circumference.
C: Pi is the result of dividing a circle’s circumference by its diameter.
D: Pi is the result of dividing a circle’s radius by its circumference.
Answer:
C.
Step-by-step explanation:
Pi = circumference / diameter.
Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.
Answer:
9π + 18
Step-by-step explanation:
The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274
Please help me with this i am ver confused
Answer:
1) 2/x³ the secound option
2)1/x²⁴ the secound option
I think
Which equation best matches the scenario below?
The total cost t is proportional to the number n of items purchased at a constant price of $4.
A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n
Answer:
Definetly t = 4n
Kanica wants to earn at least $750 this week in commission. What is the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
Answer:
Total earning Kanica wants to make is at least $750
The commission she gets is 7.5 % Therefore to find the sales she should make we use :
(Total earnings * 100% )/ Commission
= (100 * 750) / 7.5
=75000/7.5
= $ 10,000
The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Kanica wants to earn at least $750 this week in commission.
Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.
The value of x can be found as follows:
x = 750/(7.5%)
x = (750/7.5)x100
x = $10,000
Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ5
Write an equation in point-stope form for the line through the given point with the given slope.
Answer:
y-3=6(x-8)
Step-by-step explanation:
given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!
Help help help math math
Answer:1 or 2/2
Step-by-step explanation:
-2 to 0 is adding 2 and 0 to 3 is also adding two so for x it will be two
For Y it is from 4 to 6 so it is also adding 2 and from 6 to 8 your also adding 2
So y will be 2
And 2/2 is 1
What is social stratification?
A. Studying a person's ancestors to learn more about his or her
status
B. Ranking people based on factors such as gender, wealth, and
occupation
C. Expecting women to be responsible for nurturing families and
caring for homes
D. Displaying expensive material objects to demonstrate one's status
Answer:
The answer is B
Step-by-step explanation
It's a system ranking people in a hierarchy
During the last year the value of your house decreased by 20%. If the value of your house is $265,000 today, what was the value of your house last year? Round your answer to the nearest cent, if necessary.
Answer: 331,250
Step-by-step explanation: hope it helps
Which expression is a sum of cubes?
0-24a15 +125018
-64a27 +08
O
- 3x + 6
81X4+ + By
8y40
This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)
Answer: C
Step-by-step explanation:
Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?
Answer:
0.18 i think
Step-by-step explanation:
NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve
Answer:
(40*4)-(32*4)=32
160-128=32
Step-by-step explanation:
Find the least common denominator for these fractions.
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
the product of two factors is 4200.if one of the factors is 60.what is the other factor?
Answer:
Other factor is 70
Step-by-step explanation:
Let,
Other factor = x
Then,
x × 60 = 4200
x = 4200/60
x = 420/6
x = 70
∴Another factor is 70.
Answer:
Solution given
let two factor be a and b.
if one factor a=60, then b=?
we have
product of factor=4200
a*b=4200
60*b=4200
b=[tex]\frac{4200}{60}=70[/tex]
Step-by-step explanation:
y = 3 tan(x2 + 5) [using Chain Rule]
Answer:
6x sec2 (x2+5) the number to are in the top of x a c.
AWNSER DOES ANYONE KNOW the wander PLEASE I WILL GIVE BRIANLIEST
Answer:
C - qd
Step-by-step explanation:
qid means four times a day
tid means three times a day
qd means every other day (answer)
qod also means every other day (but since it's not recommended to use this notation, the answer should be qd)
Answer:
C. qd
Step-by-step explanation:
qd stands for quaque die in latin. translated to english it means every day.
3] If the p.d.f., of the random variable X is given by
f(x)= K/sqrt x &0 otherwise
(c) P(|X| < 3)
(d) E(2X - 2)
(e) V(3X)
Answer:
PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.