Answer:
E(-9)≈3.4936
Step-by-step explanation:
Calculate the arc length of the following curve from x = 0 to x = π/2:
y(x) = -1 + 3 cos(x)
Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.
Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:
s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx
Hint: | What is d/dx(-1 + 3 cos(x))?
Compute the derivative d/dx(-1 + 3 cos(x)):
= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx
Hint: | Can the integrand be simplified?
Simplify sqrt(1 + (-3 sin(x))^2):
= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx
Hint: | Can this integral be computed?
Compute the definite integral:
Answer: E(-9)≈3.4936
On considère les deux expressions A et B. A=4(x+5)-8 B=x au carré+15. Avec x=1,puis avec x=3, je trouve le même résultat pour A et B donc, quel que soit le nombre x, on a A = B. Emma a-t-elle raison ? Justifier la réponse.
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
Solve the following: Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hoursdoes Eric’s father work each afternoon?The equation for this math problem is 5(a +3) =40 What does the 5 represent? * What is a?
pls pls pls pls help
Use _________ to isolate the variable.
2x/3 < 10
Solve the inequality
Answer:
x < 15
Step-by-step explanation:
we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.
2x < 10 x 3
2x < 30
we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30
x < 30 ÷ 2
x < 15
Answer:
x=15 or false
Step-by-step explanation:
In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.
Can anyone help me with this problem? It's a review.
You can ignore the other questions I just need help on this one.
Answer:
The point (0,-2) is the solution to the problem. Substitue 0 into x, the answer is -2 which matches f(x), or y value.
Step-by-step explanation:
Identify the like terms pairs; select all that apply.
8r + 3s + 8 – 3s – 4r
8r and 4r are like terms since they both have an r
also 3s and -3s are also like terms because of the s
6+9=−3−21−6 for .
help meeeeeeeeee
Answer:
15= -30
Step-by-step explanation:
I don't know if this is complete because the question cut off
The Answer is : 15=−30
estimate of 2728/124
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A.
Are the triangles similar?
How are they similar?
Complete the similarity statement: AYXZ ~
HELP ASAP 15 points
Answer:
SAS
Step-by-step explanation:
Mrs. Rose received a 30% discount on her cell phone. The price of her cell phone, after the discount, was $180 Rounded to the nearest dollar, what was the original price of her cell phone?
Answer:
30%
Step-by-step explanation:
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
are these answers right?
Answer:
Yes, good job! :)
What is the fraction that is halfway between 1/3 and 3/2
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
Simplify. Express your answer using positive exponents.
k5
k
–
7
plzzzz helppp im stupid!!!
Answer:
1. A'B'C'
(2, 4) (4, 10) (14, 2)
A''B''C'' (2, 8) (8, 14) (14, 6)
2. D'E'F'G
(-6, 3) (-9, 3) (-6, 12) (-9, 12)
D''E''F''G'' (-2, 1) (-3, 1) (-2, 4) (-3, 4)
Step-by-step explanation:
Ok. So, when you are dialating, you first step is to determine wether it is bigger or smaller. If the scale factor is more than one, it is an enlargment or getting bigger. If it is less than 1, it is a reduction and getting smaller. Then, it is just math. Lets say that the point is (2, 4) and your scale factor is 2. Multiply 2 times 2 to get 4. Then multiply 4 times 2 to get 8. Your new cordinante is (4, 8).
You are not stupid you can do it!
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number
Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
Two equations in two variables taken together are called *
1 point
(a) linear equations
(b) quadratic equations
(c) simultaneous equations
(d) none of these
Answer:
answer is options ( C ) simultaneous equation
Please help me please!
Answer:
(2) 19
Step-by-step explanation:
[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]coordinates of the midpoints of (-9,5) and (21,-7)
Answer:
wait what are we measuring I would need to see the graph to know
Answer:
(6,-1)
Step-by-step explanation:
5-(-7) = 12/2 = 6 so 6 units from 5 is -1 and 21-(-9) is 30/2=15 so 15 from 21 is 6
Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10 . What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes?
Answer:
5 snack bags and 6 juice boxes.
Step-by-step explanation:
The least common multiple of 12 and 10 is 60. If he buys 5 snack bags and 6 juice boxes, he will have 60 of each. 12 goes into 60 5 times, and 10 goes into 60 6 times.
order these numbers from from least to greatest
27 3/9 1/5 1.23 75%
Answer:
I don't know...jkkk
Step-by-step explanation:
First put the fractions and percents as decimals
27, 0.5,0.2, 1.23, 0.75
Now you can easily order them from LEAST to GREATEST
0.2,0.5,0.75,1.23,27
Hope this helps! :)
PLEASE HELP whats the answer for this problem
Answer:
it is 20 me and that other kid did the same thing
Step-by-step explanation:
5x+12 + 3x+8 =180
8x=180-20
8x=160
hope that helps brainly plz
x=20
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing.
How many more meters of fencing should they buy?
Answer:a
Step-by-step explanation:
a
HELP ME ASAP PLEASE!!
Answer:
a=45 b=65
Step-by-step explanation:
You know that all the angle measures of a triangle add to 180. So the equation would be angle a + angle b + 70 = 180. Subsitute and simplify and you get 16x -2 + 70 = 180. Subtract 70 from 180 to get 16x -2=110 add 2 to get 16x =110. Divide each side by 16 to gte x=7. Subsitute x = 7 into the equations for angle a and angle b to get the answers above
PLSSS HELPPPPPP I WILL MARK BRAINLIEST!!!!!!!
THIS IS A solve multistep inequalities PROBLEM
Answer:
y<1
Step-by-step explanation:
-8y+3>-5
-8y>-8
y<1
A 3-pound bag of almonds costs $16.50, a 5-pound bag of walnuts costs $28.75, and a 4-
pound bag of cashews costs $24.80. Which is the best deal from best to worst deal
Answer:
a 3 pound almonds is the best deal with the 5 pound bag of walnuts being the second and the 4 pounds of cashews is the worst deal
Step-by-step explanation:
the almonds cost 5.50$ a pound the 5 pound bag of walnuts cost 5.75$ dollars a pound and the 4 pound bag of cashews cost 6.20$ a pound
if a rabbit can move 2/3 of a mile every hour then how many hours woild it take for a rabbit to go 10 miles
Answer: 6 hours and 40 minutes
Step-by-step explanation:
60 x 2/3 = 40
40 x 10 = 400
400/60 = 6.66666667
6.666667 = 2/3
60 x 2/3 = 40
6 hours and 40 minutes
Which line has a slope of 1/2 and passes through (2,-4) ?
Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined
Note: I am assuming you mean ''on what domain is f+g is defined''.
Answer:
We conclude that
Dom(f+g) = [-2, 5]Step-by-step explanation:
Given the domain of f
[-3, 5]
Given the domain of g
[-2, 7]
The domain of a composition f+g would include the intersection of both domains.In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.
so
Domain of f = [-3, 5]
The x-values lie in the domain of f interval are:
x = -3, -2, 1, 0, 1, 2, 3, 4, 5
Domain of g = [-2, 7]
The x-values lie in the domain of g interval are:
x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7
Therefore, the common x-values in both f and g would be:
-2, 1, 0, 1, 2, 3, 4, 5
Thus, we conclude that
Dom(f+g) = [-2, 5]