Help with the calculus problem please
The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral
[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]
which follows from
• the fact that d/dx [sin(x)] = cos(x)
• the fundamental theorem of calculus
26,720 inches are equal to _______ miles.
Answer: 0.42171717 miles
Step-by-step explanation:
for inches to mile conversion divide by 63350
so got 0.421717
Repeated-measures and matched-subjects experiments
Repeated measures experiments measure the same set of research participants two or more times, while matched-subjects experiments study participants who are matched on one or more characteristics. Which of the following are true for both a repeated-measures experiment and a matched-subjects experiment when used to compare two treatment conditions?
A. If the researcher has n number of participants to use in the experiment, then the degrees of freedom will be the same in a repeated-measures experiment or in a matched-subjects experiment.
B. The researcher must compute a pooled variance to compute a t statistic.
C. The researcher must compute an estimated standard error for the mean difference score to compute a t statistic.
D. Participants in both types of experiments are all measured the same number of times.
A matched-subjects experiment produced at statistic with a df of 13. How many subjects participated in this study?
a. 13.
b. 28.
c. 26.
d. 14.
For a repeated-measures experiment comparing two treatment conditions, the t statistic has a df of 17. How many subjects participated in this study?
a. 18.
b. 17.
c. 36.
d. 34.
pLS WILL GIVE BRAINLIEST for correct answer pls
Answer:
1/6
Step-by-step explanation:
What is the answer please help no links no links
What is the length of de
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
Will give brainlst
Have a nice day
Answer:
Remember that the Pythagorean's theorem says that:
For a triangle rectangle with hypotenuse H and catheti A and B:
H^2 = A^2 + B^2
Here we also need to remember that the area of a square of side length L is:
area = L^2
Now let's solve this.
First, we start with two squares, one of side length a and the other of side length b.
Such that the complete area in the first image is:
area = a^2 + b^2
Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.
in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:
area = c^2
Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:
a^2 + b^2 = area = c^2
a^2 + b^2 = c^2
And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.
If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link
Answer:
im pretty sure what u have ther is right
If sin(38°) and cos(52°) does that add up to 90°?
Answer:
38 plus 52 is in fact 90, but Sin and Cos will be different.
Step-by-step explanation:
Honestly I haven't learned Sin or Cos
Fill in the number to find the sum . 2/10 + /100= 50/100 a. 30 b. 10 c. 28 d. 52
Answer:
2/10 + 30/100 = 50/100
Step-by-step explanation:
First, you want to multiply 2/10 by 10, to get the same common denominator in both numbers, you would get 20/100. Then, its pretty simple from there, you just add the number that gets you to 50, which is 30, 20 + 30 =50. I Hope This Helps :)
The required missing number is 30. So, the correct answer is (a) 30.
Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.
Here,
To find the missing number, we can use the fact that 50/100 is equivalent to 1/2.
So, we need to find a number that, when added to 2/10, gives 1/2 as the sum.
We can write this as an equation:
2/10 + x/100 = 1/2
Multiplying both sides by 100 to eliminate the denominator, we get:
20 + x = 50
Subtracting 20 from both sides, we get:
x = 30
Therefore, the missing number is 30. So, the correct answer is (a) 30.
Learn more about arithmetic here:
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Which of these is a safe practice when working with horses?
A . use a firm, loud voice
B . stay in the horse’s blind spot use quick-release knots for easy escape
C . if unattended, leave the horse tied up
Answer:
i think the awnser is c . if unattended, leave the horse tire up
1) 3n² + 5n +7
A) quadratic monomial
B) cubic binomial
C) constant trinomial
D) quadratic trinomial
Answer:
D
Step-by-step explanation:
it is a quadratic trinomial
combine like terms
z{2} + z + 4z{3} + 4z{2}
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it's not possible
I think -7 is the right answer but it's not possible actually
Answer:
c. -7
Step-by-step explanation:
(x+57) + (63+67) = 180
(x+57) + 130 = 180
x + 187 = 180
x = 180-187
x = -7
why did I make it equal to 180?
all the angles in a triangle always equal 180 :)
Ahmed is creating clay at home for an art project. The recipe calls for 2 cups of water and 4 cups of flour. Ahmed would like to make more clay than the recipe calls for and so he puts 20 cups of flour in the bowl instead. How many cups of water should he use?
Answer:
10 cups of water should be used
Step-by-step explanation:
Answer:
2 : 4 : : x : 20
2×20/4
2 × 5 = 10
therefore he should use 10 cups of water
Hope it helps!
4 ft
5 ft
7.5 ft
The surface area is
6
square feet.
Answer:
30
Step-by-step explanation:
length x width = surface area
7.5 x 4 = 30
Slove All questions please 55 points is all I have
Answer:
My name is lil uzi vert
Step-by-step explanation:
maybach maybach
What is the volume of the figure below, which is composed of two cubes with side lengths of 6 units?
A.
216 cubic units
B.
360 cubic units
C.
432 cubic units
D.
36 cubic units
I have a question for special product patterns.
It is in the attached image.
chicken wing chicken wing
Answer:
hot dog and baloney :>
Step-by-step explanation:
yeet
Answer:
Hot dog and baloney
Chicken and macaroni
Chilling with my homies
I heard it so many times :)
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
Find the total amount that the employer contributes each month.
What amount will you have after 35 years?
How much money have you deposited into the account yourself?
How much more money is in the account than what you have deposited?
Answer:
Amount per month contributed by employer $ = 200*0.70 = 140
Total amount employer contributes $ = 140*420 = 58800
Total amount employee contributes $ = 200*420 = 84000
Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67
Interest amount for 35 years accumulated $ = 228224.67
Amount deposited by employee $ = 84000
Excess amount in the account over the employee contribution
Including employer contribution $ = 287024.67
Excluding employer contribution $ = 228224.67
Step-by-step explanation:
LOOK AT THE PICTURE FOR STEPS
angie needs 8 cups of oliv oil to make a recipe if olive oil costs $4.00 a pint how much money will she need to buy the olive oil
A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?
Answer:
The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3
Make sure to round your answer to the nearest significant figure that you're asked.
Step-by-step explanation:
The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS?
The missing piece of information is ∠C ≅ ∠C′
How to determine the missing piece?From the figure, we have:
AB ≅ A'B'
<B ≅ <B'
The above means that:
Sides AB and A'B' are congruentAngles B and B' are congruentThe congruence theorem is given as:
AAS --- Angle Angle Theorem
i.e.
Two corresponding angles and one corresponding side are congruent
Since a congruent side and a congruent angle have been given;
We need a congruent angle to complete the piece
In this case, we have:
∠C ≅ ∠C′
Hence, the missing piece of information is ∠C ≅ ∠C′
Read more about congruent triangles at:
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HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING
I WILL GIVE BRAINILYEST!!!This is a graded discussion:
Modules
Mathematical Modeling Discussion
Syllabus
Grades
99 Co
5.272 a
People
0.31 MeV B 99.80%
Office 365
1.48 Mev B-
1.1732 MeV Y
0365 Email
1.3325 MeV Y
The rate of decay of a radioactive substance depends upon the
amount present initially. The mass y (mg) of the radioactive substance
cobalt-60 present in a sample at time < (years) is represented by the
-0.13151
exponential equation y = 50 e
Answer the following questions in complete sentences.
1. How does the exponential equation above compare to the equation
for simple interest that is compounded continuously? Explain the
similarities. What is the initial amount of cobalt-60 in the sample?
2. How much cobalt-60 is left after 8.4 years? Show your work
3. What would be the y-intercept of the graph? What does it
represent?
4. After how many years will the amount of cobalt-60 left be 6.25
mg? Explain what happens to the cobalt-60 after 50 years?
5. Discuss some real-world" examples and uses of cobalt-60
Answer:1.40
2.20
3.100
4.39
5.7
7
Step-by-step explanation:
6x+2 = 5x+18 PLS QUICKKKK
Answer:
16
Step-by-step explanation:
Equation : 6x+2=5x+18
Like Terms : x + 2 = 18
Like Terms Again : x = 16
Answer:
6x+2=5x+18
6x-5x=18-2
X=16
Step-by-step explanation:
First you need to group numbers of like terms in one side. Then when you take the other number to the other side of equal sign changes it's form eg +6 change to - 6
Which is the sum of 14t/10t^2 + 5t^2+40t/10t^2
Answer:
7t/5^3 + 5t^2 + 4t^3
Step-by-step explanation:
An aquarium 4 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3). Show how to approximate the required work by a Riemann sum.
Express the work as an integral.
Evaluate the integral.
Answer:
Workdone = 4900joules
Step-by-step explanation:
Work-done = force x distance
Force = mass x acceleration
If we suppose that the aquarium is at height 0 at the top and height 1 at the bottom (since it's 1m deep), then we need to lift the slide at height x by x metres.
Mass = Density x Volume, therefore force needed to lift the slice is given is
F = density*volume*∆x*acceleration
Since we the mass changes as we take out water then there will be a change in height, for this reason we have ∆x.
Acceleration is due to gravity, therefore g=9.8m/s²
Density = 1000kg/m³
Volume = 4*1*1 = 4m³
F = 1000*4*∆x*9.8 = 39200∆x
Since our distance from the top of the aquarium to the bottom is x metres, then
Work-done = 39200x∆x
To find the total workdone, we find the integral of 39200xdx and the limit will be from 0 to 0.5 since we are to pump halfway of the aquarium. Integrating that we have
19600*x² limit from 0 to 0.5
19600(0.5² – 0²) = 19600(0.25 – 0) = 19600(0.25) = 4900joules