The area between the curve and x-axis is 6/7 units²
How can one find out the area between a curve and x-axis using integrals?
By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. Areas below the x-axis will have a negative result, while those above the x-axis will have a positive result.
Solution:
Given,
curve y= 3x⁶
x-axis interval = ₋1 to 1
area between the curve and the x-axis is limits(-1 to 1) ∫3x⁶
limits(-1 to 1) 3∫x⁶
limits(-1 to 1) 3∫x⁷/7
3[2/7]
6/7 units²
Hence we get the answer as 6/7 units².
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ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????ONLY ANSWER IF YOU ACTUALLY KNOW THE ANSWER
Answer:
its a reflection
Step-by-step explanation:
its a reflection across the y axis
Answer:
REFLECTION
Step-by-step explanation:
same shape, same size just flipped
(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
pls answer this about mathh
Note :: no links no explain no
Step-by-step explanation:
B.
AC =BC
2x-6=x+8
2x-x=8+6
x=14
5) AC = 2x-6=2(14)-6=28-6= 22
6) BC = x+8= 14+8= 22
7) AB = AC+BC = 22+22= 44
C.
AC =BC
4x+10=7x-5
4x-7x= -5-10
-3x= -15
x= -15/-3 = 5
8) AC = 4x+10=4(5) +10=20+10= 30
9) BC = 7x-5= 7(5) -5=35-5= 30
10) AB = AC+BC = 30+30= 60
B) Solution
AC = BC
→ 2x-6 = x+8
→ 2x-x = 8+6
→ x = 14
5:- AC = 2x-6 = 2(14)-6 = 28-6 = 22
6:- BC = x+8 = 14+8 = 22
7:- AB = AC+BC = 22+22 = 44
C) Solution
AC = BC
→ 4x+10 = 7x-5
→ 4x-7x = -5-10
→ -3x = -15
→ x = -15/-3
→ x = 5
8:- AC = 4x+10 = 4(5) +10 = 20+10 = 30
9:- BC = 7x-5 = 7(5)-5 = 35-5 = 30
10:- AB = AC+BC = 30+30 = 60
Complete the statement.
63 mi
mi
h
sec
Please answer ASAP worth 25 points
Answer:
63miles/hour=63miles/[60×60]sec=
0.0175miles/sec
pls answer quick, I need an answer.
Steve bought a triangular mat to cover a corner of his room.
how to find the length of EF?
[tex]CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG[/tex]
[tex]2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5[/tex]
[tex]EF = 2 * 5 - 2 = 10 - 2 = 8[/tex]
Answer: 8.
Answer:
EF=8
Step-by-step explanation:
HG=x-3
CD=x
EF=2x-2
Since HG is 3 less than CD, EF has to be 3 more than CD
x+3=2x-2
3+2=2x-x
5=x
x=5
HG=2
CD=5
EF=8
What is the hypotenuse of a triangle with legs that are both 4 inches?
Answer:
5.66
Step-by-step explanation:
Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Lines a and bare perpendicular. If the slope of line a is - 2/3 is the slope of line b?
Answer:
B. 3/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals
The negative reciprocals of -2/3
is 3/2
increase 53.20 by 7%
Answer:
56.924
Step-by-step explanation:
Step-by-step explanation:
Change the problem into something you recognize
7% = 7 x 10^-2 = 0.07
Multiply by this decimal
53.20 x 0.07 = a
Then add this to the original
53.20 + a
Pls help I need a good grade
A
Step-by-step explanation:
m+n
2..................
There are risks associated with drinking potable water.
Please select the best answer from the choices provided
Answer:
Where are the choices? There is no choices
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
I NEED HELP NOW PLEASE
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?
Answer: b
Step-by-step explanation:
i have 25 coins,x of them ard R5 coins and the rest are R2 coins.What is an expression in terms of x for number of R2 coins?
9514 1404 393
Answer:
25 - x
Step-by-step explanation:
Subtracting the number of R5 coins from the total number of coins will give the number of R2 coins:
25 - x . . . . . . number of R2 coins
The frame around a picture is worn and needs to be replaced. On the outsiders the rectangular frame measurements 5 inches by 7 inches. What is the outside perimeter of the frame?
17 inches
24 inches
35 inches
70 inches
plsss answer this
Answer:
24 inches
Step-by-step explanation:
we have 4 sides 2 of them are 5 and the other 2 are 7
7 + 7 = 14
and
5 + 5 = 10
Lastly,
10 + 14 = 24
The outside perimeter of the given its width and the length is 24 inches.
What is the perimeter?
A rectangle is a quadrilateral that has two diagonals of equal length that intersect each other. The perimeter of a rectangle is the distance round the rectangle.
Perimeter of a rectangle = 2 x (length + width)
2 x (5 + 7) = 24 inches
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Find the greatest power of 3 that is divisible of 100!
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answer:
N = 3M
Step-by-step explanation:
An extensive study of the cost of health care in the U.S. showed that the mean annual spending per Medicare enrollee was $6,883. To investigate the differences across the country, a researcher took a sample of 40 Medicare enrollees in Indianapolis. For the Indianapolis sample, the mean annual Medicare spending was $5,980 and the standard deviation was $2,518. Using a level of significance of 3%, test to see if the mean annual Medicare spending in Indianapolis is lower than the national mean. Interpret your result.
Solution :
Given :
[tex]$\mu = 6883$[/tex]
[tex]$s=2518$[/tex]
n = 40
[tex]$\overline x = 5980$[/tex]
Therefore, determining the null hypothesis and alternate hypothesis is :
[tex]$H_0: \mu = 6883$[/tex]
[tex]$H_a: \mu < 6883$[/tex]
The value of the test statistics is :
[tex]$t=\frac{\overline x - \mu}{s/\sqrt n}$[/tex]
[tex]$t=\frac{5980 - 6883}{2518/\sqrt 40}$[/tex]
[tex]$t \approx -2.27$[/tex]
So, df = n - 1
= 40 - 1
= 39
∴ 0.01 < P < 0.025
If the P value is less than α = 0.03, we reject the null hypothesis. Therefore, we conclude that mean annual Medicare spending in Indianapolis is lower than the national mean.
Using the value of [tex]$\alpha = 0.03$[/tex], the critical value of for the test statistics is 2.17
There we reject the null hypothesis. And thus we conclude that the mean annual Medicare spending in Indianapolis is lower than the national mean.
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
A 11/13
Step-by-step explanation:
1
If the spinner to the right is spun once, what is the probability
that it lands on a star or a shaded region?
Answer: i think its star because it sounds right and well i tryed it before and you should to.
5 liters of water weighs 11 pounds. A bucket contains 143 pounds of water. How many liters of water are in the bucket
Answer:
65 liters
Step-by-step explanation:
11/5=2.2
143/2.2=65
1. Which expression represents the
factored form of x2 - 13x + 36?
A (x - 4)(x - 9)
B (x - 3)(x - 12)
C (x + 9)x - 4)
D (x + 12)(x - 3)
Answer: Hello, There! your Answer is Below
A (x - 4)(x - 9)
Step-by-step explanation:
Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9
Hope this Helps you!!
Have a great day!!
which one of the following piecwise graphs is not a function
Answer:
Perhaps this could be answered, if the graphs were included.
Step-by-step explanation:
(Can Someone Help Answer This Problem) + No Links
Answer:
50 + 100n
Step-by-step explanation:
The cost is the cost of the visit plus the cost of the cavities
50 + 100n where n is the number of cavities
Answer:
P = 50 + 100*n
Step-by-step explanation:
1. The visit is $50
2. Additional cavity is $100
3. n cavities would cost 100*n
rolling an odd number on a six-sided die with its expected probability?
Answer:
The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six. Both three and six are divisible by three. Therefore, this fraction could be simplified to one-half. Three divided by three is equal to one.
[tex]3/11 divided by 44[/tex]
Answer:
3/484
Step-by-step explanation:
3/11 ÷ 44
~Turn whole number into a fraction and use copy dot flip
3/11 ÷ 44/1
3/11 * 1/44
3/484
Best of Luck!
A spinner has three equal sections labeled 1, 2, and 3
Which organized list shows the possible outcomes for spinning the spinner twice?
Ο Α
o 1,1; 1,2; 1,3
o 2,1,2,2,2,3
o 3,1; 3,2; 3,3
ОВ
o 1,2; 1,3
o 2,1,2,3
o 3,1,3,2
Ос.
o 1,1; 1,2; 1,3
o 2.2; 2,3
o 3,3
OD
1,1; 1,2; 1,3
the answer is hi Step-by-step explanation:
Answer:
answer: A
Hope that helps!