Answer:
1,45 cubic units
Step-by-step explanation:
The method of cylindrical shells demands that the volume of the solid is given by:
[tex]V=2\pi\int_a^b xf(x)dx[/tex] (1)
In this case you have that f(x) is:
[tex]f(x)=cos(\frac{\pi}{2}x)[/tex]
a = 0
b = 1
First, you solve the integral, by parts:
[tex]\int xf(x)dx=\int xcos(\frac{\pi}{2}x)dx=x(\frac{2}{\pi})sin(\frac{\pi}{2}x)-\int (\frac{2}{\pi})sin(\frac{\pi}{2}x)dx\\\\=(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)+C[/tex]
Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):
[tex]V=2\pi[(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)]_0^1\\\\V=2\pi[(\frac{2}{\pi})-(\frac{2}{\pi})^2]=1,45u^3[/tex]
hence, the volume of the solid generated is 1,45 cubic units
URGENT!! Please help if you can!!
Does this represent a nonlinear function, liner function, or no function at all?
Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
not a function
Step-by-step explanation:
you can test it out by sliding your pencil thru the graph and making sure
the function doesn't cross thru the pencil twice
simplify the expression (3+8i) - (4+2i) pls show work!
Subtract like terms:
3 -4 = -1
8i - 2i = 6i
The answer is -1+6i
All trapezoids are parallelograms.
A. True
B. False
Answer:
True
parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .
No, All trapezoids are not parallelograms.
We know that,
Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.
Hence, By definition of trapezoids,
All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
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If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)
A) 2x-3
B)3x-3
C)4x+1
D)2x-1
Answer:
C.
Step-by-step explanation:
1) 2x – y = 1
2x +2y = 10
2) 5x – y =15
x + y = -3
please do both of these with explanation!!
Answer:
1) (2, 3)
2) (2, -5).
Step-by-step explanation:
2x – y = 1
2x +2y = 10 Subtract to eliminate the 2x:
2x - 2x - y - 2y = 1 - 10
-3y = -9
y = 3.
Plug this into the first equation:
2x - 3 = 1
2x = 4
x = 2.
2)
5x – y =15
x + y = -3 Adding to eliminate y:
5x + x - y + y = 15 + -3
6x = 12
x = 2
Plug this into the first equation:
5(2) - y = 15
-y = 15 - 10 = 5
y = -5.
Wyatt wants to study the relationship between the number of siblings that a student has and the student's grade-point
average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two
variables. Which scatterplot proves that Wyatt's statement is not always true?
Number of Siblings vs. Grade-Point Average
Answer:
the answer is D
Step-by-step explanation:
Because of how the students grade ar goung not down but up were the y or x
The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.
When does a straight line show a relationship between variables?The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.
If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.
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Which of the following statements uses the commutative property of addition
2+(3+4)=(2+3)+4
2+(3+4)=(2+3)+(2+4)
2+(3+4)=2+(4+3)
Answer:
the first one
Step-by-step explanation:
The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.
what is slope intercept form?
20t- (8t+ 50s + 200)
Answer:
[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]
Wendy is taking a cab ride. The ride costs $1.20 for the first 0.5 km, and $0.90 for each additional 0.5 km. If the trip costs $12.00, how many kilometres was the cab ride?
Answer:
6.5 km
Step-by-step explanation:
Subtract 12 - 1.20 for the first 0.5 km
We are left with 10.8
Divide 10.8 by 0.90 to find the other 0.5 km
This gives you 12, which means it was 6 km
The total cab ride was 6.5 km
Answer:
6.5 km
Step-by-step explanation:
First subtract 1.2 from 12, you get 10.8
now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.
12.00-1.2=10.8 this is .5 km 10.8 divided by .9 =12
12 divided by .5=6
.5 km + 6 km = 6.5
I need help please! I’m really confused about it
The answer is 1 and 3
URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°
Answer:
1. A
2. B
3. B
Step-by-step explanation:
1. 180+57-94= 29
2. 4x + 7 + 97 + 180 - 17x - 13 = 180
-13x = -91
x = 7
3. 180 - 64-38 = 78
180-78 =. 102
Answer:
A) 29°
B) 7°
B) 102°
Step-by-step explanation:
1. ------------------------
sum of angles= 180°missing angle= 180°-57°-94°= 29°2. ------------------------
4x+7°+97°=17x+13°13x=91°x=7°B) 7°3. ------------------------
EGH=GEH+EFGEGH=64°+38°=102°B) 102°Marlin made the wooden block below in his woodworking class. What is the surface area of his block?
Answer:
The answer is D
Step-by-step explanation:
I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared
Three consecutive integers have a sum of 45. Find the integers.
Answer:
14,15,16
Step-by-step explanation:
14+15=29
add up 29 + 16 = 45
Solve 3 (3 - 3x) +4= -5.
Answer:
x=2
Step-by-step explanation:
3 (3 - 3x) +4= -5
Subtract 4 from each side
3 (3 - 3x) +4-4= -5-4
3 (3 - 3x)= -9
Divide by 3
3/3 (3 - 3x) = -9/3
3-3x = -3
Subtract 3 from each side
3-3x-3 = -3-3
-3x = -6
Divide by -3
-3x/-3 = -6/-3
x = 2
What figure can be made using the net shown?
Hube
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid
Answer:
Correct option: First one -> Hexagonal prism
Step-by-step explanation:
In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).
So the figure created would be a hexagonal prism.
Correct option: First one.
Answer:
First one
Step-by-step explanation:
does y = 2x + 3 and y = 2x – 11. intercept
Answer:
yesssssssssssssssssssssssssssssss
Which image shows -1 7/8 on a number line? A. B. C. D.
Answer:
The number line is attached below.
Step-by-step explanation:
The number to be plotted on the number line is:
[tex]x=-1\frac{7}{8}[/tex]
The value of x lies between -2 and 0.
Draw a number line from -2 to 0 with intervals at every one-eight value.
Mark the point at [tex]x=-1\frac{7}{8}[/tex].
The number line is attached below.
What is 8*4 equal to
Answer:
The answer would be 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
8 times 4 = 32
A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?
Answer:
4.243
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2:
d = a√2
d = 3√2=4.24264068
A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.
Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346
Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of
Answer:
120%
Step-by-step explanation:
Because the answer is 1 1/5 that converted to a percentage(%) is 120%.
9.53% people between the age 30 to 44 rated the movie as excellent.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
According to the given question.
We have a data of people of different ages who rated the movie as excellent, Average, and poor.
Now,
Total number of people between the age 30 to 44 who rated the movie excellent is 33
And, the total number number of people who watched the movie is 346.
Therefore, the percentage of people who are in between 30 to 44 and rated the movie as excellent is given by
[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]
[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]
Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.
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Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!
Answer:
Y=x^2+8
Step-by-step explanation:
Yun wants to build a one-sample z interval with 82%, percent confidence to estimate what proportion of users will click an advertisement that appears on his website. He takes a random sample of 200 users and finds that 34 of them clicked the advertisement.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 34
p = 34/200 = 0.17
q = 1 - 0.17 = 0.83
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.82 = 0.18
α/2 = 0.18/2 = 0.09
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.09 = 0.91
The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35
Therefore, the 82% confidence interval is
0.17 ± 1.35√(0.17)(0.83)/200
Confidence interval is 0.17 ± 0.036
Answer:
z ∗ = 1.341
Step-by-step explanation:
Its right on khan academy
help please, I don't know it please
Answer:
second payment from the left
Step-by-step explanation:
A car loan should decrease as time passes when you make regular payments
This should be the second payment from the left
I need help on the fraction part
Answer:
3 1/7 units
Step-by-step explanation:
(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!
what is the rule for the reflection?
Answer:
(x,y)→(x,−y)
Step-by-step explanation:
I did it before
Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?
Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
Can anyone help me. Please
Answer:
how can I help?
Step-by-step explanation:
with what?
(14)+(-11) plz help idk what it is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
(14)+(-11)=3
Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?
*diagram of floor plan is attached below
Answer:
30m²
Step-by-step Explanation:
From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.
To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.
Area of rectangle = L*B
For the hall way, L = 3.2m, B = 1.5m
Area of hall way = 3.2*1.5 = 4.8m²
For the living room, L = 6m, B = 4.2m
Area of Living room = 6*4.2 = 25.2m²
Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²
Answer:
30m²
Step-by-step explanation:
