Answer: C
Step-by-step explanation:
Guide Questions:
1. How do you saive for the area of the shaded region in figure A?
2. How do you solve for the area of the shaded region in figure B?
3. Is method finding the shaded region in figure A and B the same? Why? or Why not?
please answer on 3 i need answers for that number 3 questions
Answer:
1. The area is found by using the formula for a rectangle
The area is 150 cm²
2. The area is found by the definite integral for the area between two points under a curve
3. The methods are different
The methods are different because the area of figure A is found by the multiplication between the dimensions, while the area of figure B is found by the difference between the values of the integral of the function between the points
Step-by-step explanation:
1. The area of the shaded figure A is found by multiplying the dimensions of the figure, which is the length multiplied by the breadth of the figure
From the question, we have;
The area of the rectangular figure, A = Length × Breadth
The length of the figure = 15 cm
The breadth of the rectangular figure = 10 cm
Therefore, we have;
A = 15 cm × 10 cm = 150 cm²
The area of the rectangular figure, A = 150 cm²
2. The bell shape of the figure B is obtained from a function f(x) as obtained from MIT mathematics website as follows;
[tex]f(x) = e^{-t^2}[/tex]
Therefore the area of the shaded region in the bell shaped figure between the points 0 and 1 on the x-axis is found by integration as follows;
[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt = \dfrac{1}{2} \cdot \sqrt{\pi} \times erf(t)[/tex]
Using a graphing calculator, we have;
[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt \approx 0.746824[/tex]
3. The method of finding the area of figure A is different from the method of finding the area of the figure B
The methods are different because the area of figure A is the area of the whole figure of a geometric shape with known formula for area while the area of of the shaded region has no predefined formula but is calculated using the calculus for the area under a curve.
Calculate
√6x√20 divided by
√3
Give your answer in the form a√b where a and b are integers, and b is as small as
possible.
Answer:
(√6x√20) / √3 = 2√10
Step-by-step explanation:
hello :
(√6x√20) / √3 =√2x√3 x√4x√5 / √3
because : √6 = √2x√3 and √20= √4x√5 = 2x√5
now simplify by √3 :(√6x√20) / √3 =√2x2x√5
(√6x√20) / √3 = 2√10 so : a =2 and b =10
A block of wood measures 9.5 inches by 1.5 inches by 8 inches. What is the volume of the block of wood?
Answer:
114
Step-by-step explanation:
L=9.5 inches W=1.5 inches H= 8 inches
V=LWH=9.5*1.5*8=114
Find the common difference, d, given that 8x-3, 4x+1, 2x-2 are consecutive terms of an
arithmetic sequence.
A)1/6
B) -10
C) 10
D) 5
Answer:
B
Step-by-step explanation:
We are given that:
[tex]8x-3, \, 4x+1, \text{ and } 2x-2[/tex]
Are consecutive terms of an arithmetic sequence.
And we want to determine the common difference d.
Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.
In other words, the second term is one d more than the first term. So:
[tex]4x+1=(8x-3)+d[/tex]
And the third term is two d more than the first term. So:
[tex]2x-2=(8x-3)+2d[/tex]
We can isolate the d in the first equation:
[tex]-4x+4=d[/tex]
As well as the second:
[tex]-6x+1=2d\Rightarrow \displaystyle -3x+\frac{1}{2}=d[/tex]
Then by substitution:
[tex]\displaystyle -4x+4=-3x+\frac{1}{2}[/tex]
Solve for x:
[tex]\displaystyle -x=\frac{-7}{2}\Rightarrow x=\frac{7}{2}[/tex]
The isolated first equation tells us that:
[tex]d=-4x+4[/tex]
Therefore:
[tex]\begin{aligned} \displaystyle d&=-4\left(\frac{7}{2}\right)+4\\&=-2(7)+4\\&=-14+4\\&=-10 \end{aligned}[/tex]
Our final answer is B.
Answer:
B.) - 10 is the answer.
Step-by-step explanation:
#CarryOnLearningFind the surface area of the cylinder.
Answer:
1188 inches
Step-by-step explanation:
Answer:
The surface area of the cylinder with a radius of 7 and height of 20 would be 1186.92.
Step-by-step explanation:
The formula as given by the image is
h=20, r=7.
Substitute your radius and height as follows:
SA=[tex]SA=2*pi*r^2+2pi*r*h\\(2*3.14*7^2)+(2*3.14*7*20)[/tex]
And now solve!
307.72+879.2=1186.92
The answer would be 1186.92
PLEASE HELP MAX POINTS AND BRAINLIEST!!
What is a function with a rate of change of 1/3 and an inital value of -3?
((put ur equation in slope intercept form y=mx + b))
Answer:
y=1/3x-3
I hope i helped you guy.
can someone please help me
Answer:
A)
Step-by-step explanation:
n = -3
Output: (n - 2)
-3 - 2 = -5
It's A because it's the ONLY choice where the output is -5 when the input is -3
The bakers at Healthy Bakery can make 180 bagels in 5 hours. How many bagels can they bake in 22 hours? What was that rate per hour?
Answer:
34
Step-by-step explanation:
Answer:
Step-by-step explanation: 180 bagels
The unit rate, in bagels per hour, is ---------------------- = 36 bagels/hour
5 hours
In 22 hours, the bakery can bake (36 bagels/hour)(22 hours) = 792 bagels
What is the measure of Angle A?
A pentagon. Angle A is unknown, angle B is 70 degrees, angle C is 132 degrees, angle D is 132 degrees, angle E is 70 degrees.
_°
Answer:
136
Step-by-step explanation:
The sum of interior angles of a polygon is (n-2)x180 where n is the no. of sides. Here n=5 Therefore sum of int. angles = (3-2)x180= 3x180=540.
Sum of all given angles =404.
Remaining angle= 540-404=136
Answer:
136
Step-by-step explanation:
i just took the test
can someone help me find the annulus of the shaded area? much appreciated
Answer:
34.83
Step-by-step explanation:
At Trudy's Pancake House there are 16 dirty coffee mugs and 48 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty?
Write your answer using a percent sign (%).
I need help with my iCloud and I just started it
Answer:
m<U=60°
Step-by-step explanation:
[tex] \sin( sut) = \frac{st}{ut} \\ = \frac{7 \sqrt{114} }{14 \sqrt{38} } = \\ \frac{ \sqrt{3} }{2} \\ = > u = 60[/tex]
x²+9x+a has a factor of (x+8) what is the value of 'a' equal to
Answer:
a = 8
Step-by-step explanation:
(x+8)(x+1) = x^2 + 9x + 8
Can someone help me plzzz and thank you
Answer: 20 I think
Step-by-step explanation:
Select the functions that have a value of 0.
sin270°
cot270°
cos270°
tan270°
sec270°
csc270°
Answer:
cos270° has a value of 0
Step-by-step explanation:
cos 270°
10) If two angles in a triangle measure 53 degrees and 45 degrees, what is the value of the
third angle?
A. 8 degrees
B. 42 degrees
C. 82 degrees
D. 98 degrees
how would you solve this?
Answer:
d
Step-by-step explanation:
Which of the following statements about the similarity between rectangles and squares is not true?
Both rectangles and squares are quadrilaterals.
Both rectangles and squares have two sets of parallel sides.
Both rectangles and squares have four right angles.
Both rectangles and squares have four sides of equal length.
Answer:
Both rectangles and squares have four sides of equal length.
Step-by-step explanation:
Rectangle and square are the geometrical figures having four sides. They are the quadrilaterals with four sides. A rectangle is the quadrilateral in which opposite sides are equal. In a square all the sides are of equal length. The sides of both the rectangle and square are parallel. All angles form the right angles.
In RST t=59 inches r=77 inches and s=5 find the area of RST to the nearest inches.
Answer:
Area≈197.974≈198
Step-by-step explanation:
delta math
$51,033
An electronics wholesaler must sell at least $4000 worth of computers and printers per day to stay profitable. Each printer costs
$300 and each computer costs 5900. The store can ship a maximum of 25 items per day. If c represents the number of computers
and p represents the number printers, which THREE statements are correct?
Pls help
Answer:
A,B,D
Step-by-step explanation:
(A) is correct because 5*900+15*300>4000
(B) is correct because 15*900+5*300>4000
(D) is correct because C+P must be less than or equal to 25
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter
in cm, of the rectangle?
A. 824
B. 1,600
C. 2.000
D. 3.200
3+ 5/7x_>_1+x?
Hdjdhdudjdjdheirhdhfhhfh
Answer:
Step-by-step explanation:
girl what is wrong with that screen lol
When 1,250 Superscript three-fourths is written in its simplest radical form, which value remains under the radical?
10
6
5
2
Answer:
D is the answer
Step-by-step explanation:
Answer:
D
Explanation:
100%
PLEASE PLEASE PLEASE HELP, AND SHOW WORK!!!! LOOK AT ATTACHMENT.
Answer:
24) $230.45
Step-by-step explanation:
25%=25/100=0.25
0.25*357.35=89.38 (rounded to the nearest hundredth)
357.35-89.38=267.97
Now, we have the 25% discount, it is the same thing for the 14% discount.
14%=14/100=0.14
267.97*0.14=37.52(rounded to the nearest hundredth again)
267.97-37.52=230.45
Therefore, total cost is $230.45
HELP QUICK !! I JUST NEED THE ANSWER
Answer:
the function is shifted up n units
Step-by-step explanation:
because in my opinion it will affect the function y only
May you please help me it's very confusing for me.
Answer:
First row going down
29=5x-1
x=6
3x+7=28
x=7
58=5x+3
x=11
48=3x+3
x=15
Second row going down
3+4x=23
x=5
9+ x/3 =13
x=12
4x-13=27
x=10
7x+8=15
x=1
Third row going down (starting from top)
2x+1=7
x=3
3x-2=10
x=4
x/2 +5=6
x=2
10=8+x/4
x=8
2x/3=6
x=9
12+x/5=12
x=0
18=3x/4
x=24
Help pls and no links
Answer:
The answer is A. 4+y^2/2y^2
The radius of a baseball is approximately 2.5 inches. What is its volume?
Answer:Below
Step-by-step explanation:
A baseball is round.
So, the diameter and the height are the same.
The radius is half of the diameter, so: 2.5 x 2 = 5
The height is also 5.
The Volume is 65.45
Answer:
Step-by-step explanation:
The Volume is 65.45
How might doing math slowly help with problems that are difficult to understand or hard to solve?
Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?
A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.
I hope this helped!
~flipohrama
2x + 3y = 2
Consider the system
3x + 3y = -6
Describe how to solve the system by multiplying the first equation by a constant and subtracting. Why
would this method be less than ideal?
(select) v the first equation by 1.5 and subtract. This would be less than ideal because you would
introduce (select) into the solution process.
HELP ASAP DUE TONIGHT
Cu cat este mai mare suma numerelor 25 si 17 față de diferența lor? ( se vor folosi doua paranteze mici.)
Given :
Two numbers 25 and 17.
How much larger is the sum of the numbers 25 and 17 compared to their difference? (Two small brackets will be used.)
To Find :
How much larger is the sum of the given numbers as compared to their difference.
Solution :
Sum of given numbers, S = 25 + 17 = 42 .
Difference of given numbers, D = 25 - 17 = 8 .
The difference between S and D is, S - D = 42 - 8 = 34 .
Therefore, sum of the numbers is larger by 34 than in difference.
