Answer:
Step-by-step explanation:
Factor the sum of cubes
a³ + b³ = (a+b)(a² - ab +b²)
= 2a² - 2ab + 2b²
a³ + b³ + 6ab = 2a² + 4ab + 2b²
= 2(a² + 2ab +b²)
= 2(a+b)²
= 8
Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval x is between 0 and pi over 4 inclusive given by the integral the integral from 0 to pi over 4 of the square root of the quantity 1 plus the cosine squared x, dx . (5 points)
Answer:
[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]
Step-by-step explanation:
The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:
[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx[/tex]
And we want to find the equation of the curve.
Recall that arc length is given by:
[tex]\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx[/tex]
Rewrite our original integral:
[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx[/tex]
So:
[tex]\displaystyle \frac{dy}{dx}=\cos(x)[/tex]
It follows that:
[tex]\displaystyle y=\sin(x)+C[/tex]
Using the initial condition:
[tex]0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0[/tex]
The equation for our curve is:
[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]
please help!! I'm really confused
Answer:
a. 7/16
b. 27.5%
Step-by-step explanation:
There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus?
please hurry
6th grade math
HELP ILL GIVE BRAINIEST THIS MY LAST QUESTION!
Jim and Regina can complete one job in 4 hours when working together. When working alone, Jim works twice as quickly as Regina.
• How long will it take each of them to do the job when working alone? Show all work supporting your answer.
• If Regina works as quickly as Jim, how long will it take both of them to do the job working together? Show all work supporting your answer.
Answer:
Jim = 6 hoursRegina = 12 hoursTogether at same rate = 3 hoursStep-by-step explanation:
Let Jim's speed is J and Regina's speed is R and the work is WWe have:
(J + R)*4 = WJ = 2RSubstitute J with 2R:
(2R + R)*4 = W12R = WRegina needs 12 hours to complete work
and
Substitute R with J/2:
(J + J/2)*4 = W 6J = WJim needs 6 hours to complete same work
If Regina works as quickly as Jim:
J + R = 2JThen
Jim can complete 1/6 of work in one hour, they both can complete twice work:
1/6*2 = 1/3Time to complete work:
1: 1/3 = 3 hoursAnswer:
Honestly, Mark above person answer as brainliest..okay
Help!!
what's 7e-9-3e for e=6?
Answer:
15
Step-by-step explanation:
7e (7×6) = 42
42 - 9 = 33
3e (3×6) = 18
33 - 18 = 15
ABCD is a parallelogram. If mZCDA = 81, then
mZDAB = ? _. The diagram is not to scale.
Answer:
∠DAB = 99°
Step-by-step explanation:
Given:
ABCD is PARALLELOGRAM
∠CDA = 81°
Find:
∠DAB
Computation:
ABCD is PARALLELOGRAM
So,
∠CDA + ∠DAB = 180°
81° + ∠DAB = 180°
∠DAB = 99°
Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Evan need to invest, to the nearest ten dollars, for the value of the account to reach $67,000 in 7 years?
Answer:
43720
Step-by-step explanation:
It was right on delta math
what does x= in each of the questions
Answer:
x+35/5=2
x+35=10
x=-25
Answer:
[tex]\frac{1}{5} x[/tex]+7=2, x=-25
[tex]\frac{m}{7} -7=3[/tex], m= 105
[tex]\frac{3}{5} x+7=-20, x= -45[/tex]
[tex]-\frac{2}{7} t+5=17, t=-42[/tex]
4.9x+4.2=9.1, x=1
Explanation for last two:
[tex]-\frac{2}{7}t+5=17[/tex]
Step 1: Subtract 5 from both sides.
[tex]\frac{-2}{7} t+5-5=17-5[/tex]
[tex]\frac{-2}{7} t=12[/tex]
Step 2: Multiply both sides by 7/(-2).
[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]
t=−42
4.9x+4.2=9.1
Step 1: Subtract 4.2 from both sides.
4.9x+4.2−4.2=9.1−4.2
4.9x=4.9
Step 2: Divide both sides by 4.9.
[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]
x=1
Michael surveyed 960 of the students in his school about their favorite color. 912 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:
95%
Step-by-step explanation:
912÷960=0.95
Hope this helps.
pls help i need to pass
Answer:
The answer would be A
Step-by-step explanation:
the answer is A because it shows the correct set of data
Which equation is represented by the graph below?
y=e+5
y=e+4
y = In X+4
How many cups are in 1 quart?
correct=brainliest
Answer: 1 quart = 4 cups or 2 pints
What is the area of this figure?
Enter your answer in the box
what is the slope of the lines segment with the endpoint (2,-5) and (-8,3)
A Chevy Volt costs $29,600 in the United States. What would it cost in Canada?
Answer:
I may be wrong, but it should be around 37301.18 Canadian dollars
Step-by-step explanation:
The Chevy Volt costs in Canada is 37,888 Canadian Dollar
What is unitary method?Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit
What is the current marked value of US dollar to Canadian dollar?1 United States Dollar = 1.28 Canadian Dollar
According to the question
Chevy Volt costs in the United States = $29,600
As, per current marked value
1 United States Dollar = 1.28 Canadian Dollar
Cost in Canada = 29,600 * 1.28 Canadian Dollar
= 37,888 Canadian Dollar
Hence, the Chevy Volt costs in Canada is 37,888 Canadian Dollar
To know more about unitary method here:
https://brainly.com/question/19423643
#SPJ2
Find the measure of angle x?
Answer:
x = 43 degrees
Step-by-step explanation:
First, you have to see that there is a right angle of 90 degrees. Since that is there, you know that there is 90 degrees in the bottom and right side as well. So all you do in this question is do 90 - 47 to get your answer of 43 degrees.
Mr. Dietrch's class is 17/25 boys. What percentage of the class is boys? 
Answer:
I believe it's 44% could be wrong tho sorry-
WILL GIVE BRAINLIEST
Answer:
it d. the proof demonstrates that a 2 + b 2=c 2
Use 3.14 for pi and round to the nearest tenth.
Answer:
3.1
Step-by-step explanation:
if the last number is less thank five round down
i just need the Y blank answers please!!
|x-(-12)| if x>-12
ill give brainlyest if corect
Answer:
x+12
Step-by-step explanation:
:)
winston works 40 hours a week as a pharmacist. if he made 75,400 last year, how much was he paid per hour?
Answer:
If I'm calculating correctly, it might be $36.15. Or, if you're rounding, $36.2.
Step-by-step explanation:
There are about 52.14 weeks in a year. If you multiply 40 by 52.14 you get 2085.6. Then you divide 75,400 by 2085.6 and that's how I got my answer. If I'm wrong, someone feel free to correct me.
Answer:
$36.25
Step-by-step explanation:
Ape.x
PLEASE HELP due in 8 mins
1/2 (x - 5) = 4/3
Answer: [tex]7\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} (x-5)=\frac{4}{3} \\[/tex]
Multiply both sides by 2
[tex]2(\frac{1}{2} (x-5))= \frac{4}{3} (2)[/tex]
[tex]x-5=\frac{8}{3} \\x-5+5 =\frac{8}{3} +5\\x=7\frac{2}{3}[/tex]
Answer:
1/2(x-5) =4/3
X-5=4/3÷1/2
X-5=8/3
X=8/3+5
X=23/3
Is the relation shown in the table a function? Use the graph and justify your answer. x 2 4 8 10 y 3 2 0 –1 A coordinate grid from 0 to 9 on both axes. A. Yes. The relation is a function. The graph of the function is a straight line and has a constant rate of change. B. Yes. The relation is a function. The graph of the function is a curve. C. No. The relation is not a function. The graph of the relation does not pass through the origin. D. No. The relation is not a function. The graph of the relation is not a straight line.
Answer:
Yes; for each input there is exactly one output. 2. ANSWER: No; the domain value 6 is paired with both 9 and 10. 3. {(2, 2), (−1, 5), (5, ... Draw a graph showing the relationship between
Step-by-step explanation:
i think that is the answer
Answer: Yes, the relatoin is a function. the graph of the function is a straight line.
Step-by-step explanation: If it is a straight line it is a function.
I really need help with this!!
Answer:
x = 4
y = 3.5
Step-by-step explanation:
The parallelogram given has opposite sides that are equal in length. Therefore, the diagonals bisect each other into two equal parts respectively.
Thus:
2y = 7
Divide both sides by 2
y = 7/2
y = 3.5
Also,
x + 6 = 10
Subtract 6 from each side
x = 10 - 6
x = 4
Correct answer please
I will mark you brainliest for the correct answer
I need this answer asap
Answer:
Angle 3 and Angle 4
Step-by-step explanation:
Congruent angles are equal to each other, these can't be congruent.
What is the first step Anika made from the original equation.
Answer:
She factored out a 4 from the equation.
Step-by-step explanation:
So our original equation is 12x + 4 = 20x - 12
Anika's first steep of her equation is 3x + 1 = 5x - 3
We know that the terms were not moved around, so the first step was likely multiplication or division.
We also see that a 4 has been factored out of the entire equation, like this:
12x + 4 = 20x - 12
4(3x + 4) = 4(5x - 3)
And these 4's cancel each other out.
So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.
What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n
+
1)?
(Edulastic)
Answer:
5/2
Step-by-step explanation:
(2n+4)+6=-9+4(2n+1)
2n+4+6=-9+8n+4
2n+10=-9+8n+4
2n-8n=-9+4-10
-6n=-5-10
-6n=-15
6n=15
n=15/6
simplify
n=5/2
The skateboard ramp has a slope of 2/5 if the height is 6 what is the width?
Answer:
its 5y−30
2
Step-by-step explanation:
Because lets put this problem in slope form. The form is Y=mx+b
ok now lets put it with the number Y=2/5+6
The area of a
circular fountain is
225πft2. What is the
diameter of the
fountain?
Using the formula for area of a circle: area = pi x r^2
You now have:
225pi ft^2 = pi x r^2
Divide both sides by pi:
225 = r^2
Take the square root of both sides:
r = 15
The radius is 15 feet.
The diameter is the radius x 2:
Diameter = 15 x 2 = 30 feet.
Answer: 30 feet.