Answers
Answer:
D
Step-by-step explanation:
Set up to different integrals that match the endpoints
so in our case it would look like
[tex]\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx[/tex]
now it's just a matter of computing it
[tex]\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}[/tex]
Related Questions
. A sequence starts with 180, 120, …. If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence.
Answers
Answer:
Arithmetic Sequence
[tex]T_n = 240-60n[/tex] ---- Explicit
[tex]T_n = T_{n-1} - 60[/tex] --- Recursive
Geometric Sequence
[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive
Step-by-step explanation:
Given
[tex]180, 120,....[/tex]
(a) Assume it is an arithmetic sequence
The explicit formula is calculated using:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 180[/tex]
[tex]d = 120 - 180[/tex]
[tex]d = -60[/tex]
So, we have:
[tex]T_n = 180 + (n - 1)*-60[/tex]
[tex]T_n = 180 -60n + 60[/tex]
Rewrite
[tex]T_n = 180 + 60-60n[/tex]
[tex]T_n = 240-60n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]
[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]
-
[tex]T_n = T_{n-1} - 60[/tex]
(b) Assume it is a geometric sequence
The explicit formula is calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 180[/tex]
[tex]r = \frac{120}{180}[/tex]
[tex]r = \frac{2}{3}[/tex]
So, we have:
[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]
Split
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]
Rewrite as:
[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]
[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]
[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]
[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]
[tex]T_n = 270* (\frac{2}{3})^n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]
[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]
-
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a and 5b are like terms, so they can be combined. Is Rosa correct? Is Tiffany correct? Why or why not?
please help =)
Answers
Answer:
Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.
Step-by-step explanation:
HELP WITH MATH THANKSSSSSSS
Answers
Answer:
A. (7,8,9)
Step-by-step explanation:
A. If, 7^2+8^2=9^2, then it is a pythagorean triplet.
But, 49+64 is not equal to 81.
Hence, the first trio is not a pythagorean triplet.
Adam wants to buy a new computer that costs $510. He earns $8.50 per hour working for his aunt. Enter an equation using the variable x that can be used to solve for the number of hours Adam must work to buy
the computer.
Pls help
Answers
Answer:
x = number of hours to work
x = 510/8.5
x = 60 hours
Step-by-step explanation:
Which equation matches the graph?
f( x) = x3 + 2
f( x) = ( x + 2) 3
f( x) = ( x - 2) 3
f( x) = x3 – 2
f( x) = x3
Answers
Answer:
D. f(x) = x³ - 2Step-by-step explanation:
The graph is the translation of the parent function 2 units down.
The parent function is f(x) = x³.
The translation is f(x) - 2
The function is:
f(x) = x³ - 2Correct choice is D
Answer:
Option D
Step-by-step explanation:
The parent function is y=x³
y=x³Translate 2 units down
y=x³-2This is showing on graph
Option D is correct
Which angles are vertical angles?
Answers
Answer:
It would be Angles GFC and EFH.
Think of it like I'm drawing a capital X. Would you consider the top and bottom parts of the X to be the same? Or would you consider the top and left parts to be the same?
The correct answer for this would be that the top and bottom parts of X are the same size. Now, remember that whenever two lines are making an X. this is because the two angles only touch each other in the center point and don't share a side.
Which table has a constant of proportionality between y and x of 12?
Will give brainliest if correct
Answers
Answer:
Table A
Step-by-step explanation:
If you do delta method (Change in y and x)
For example, 120-24
______ = 96/8
10-2
Then you divide both the numerator and denominator by the denominator (which is 8) and that gets us to 12 as our answer. Do the same method for all of the numbers in table A.
Ps: I hope that I was helpful, and you are welcome.
Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is 2 cm
I guess
BRAINLEST TO THE PERSON WHO CAN ANSWER BOTH !
Answers
Answer:
Question 7: False, False, true
Question 8: B
Step-by-step explanation:
Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.
Answers
Answer:
22+8x less then or equal to 60
Step-by-step explanation:
Debbie has at most $60 to spend
Then it will be <=60
Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.
And
Let x be the number of t-shirts
Then the cost of x t-shirts will be 8x
Putting this in to inequality will be:
The inequality to find the maximum number of t-shirts is:
10
05
15
20
25
60
30
35
40
55
45
50
Which of the following represents the Inter-Quartile Range of data?
A. 26
B. 50
C. 56
D. 10
E. 16
Answers
The value that represents the Inter-Quartile Range of data is 26.
Option A is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the boxplot, we can see that,
Third quartile = 46
First quartile = 20
Now,
Interquartile range
= Third quartile - First quartile
= 46 - 20
= 26
Thus,
The value that represents the Inter-Quartile Range of data is 26.
Learn more about the interquartile range here:
https://brainly.com/question/29204101
#SPJ7
suppose you want to pave the driveway below and blacktop costs $28 per square yard. how much would you spend to cover the driveway?
Answers
Answer:
$2576
Step-by-step explanation:
You need to get the areas of the squares, the little square the area is 8 yd since you multiply 4 times 2. The big rectangle we need our length times our width we get our width by subtracting 4 from 10 which means w=6, then we need our length, for that we add 12 and then 2 to account for the rest which means l=14, we multiply 14 times 6 which gives you 84 and add the area of the little square (8) so 84 plus 8= 92 multiply that times the cost per yard so (92)(28) and you get $2576
The length of the hypotenuse of a 30°-60°-90° triangle is 11. What is the perimeter?
O
A. 11 33
- + 3
2 2
B. 33 11
+
2 2
C. 11 + 33 3
D. 33 + 11 5
Answers
Answer:
B
Step-by-step explanation:
Using pythagoras theorem
Find the x and y intercept
3x - 4y = 12
O
a
x-int. 8. y-int. -6
x-int. 4. y-int. -3
x-int. -6. y-int. 8
x-int. 3. y-int. -4
Answers
Answer:
x = (12+4y)÷3
Step-by-step explanation:
loveeeeee
2.5 dividido en 45.5
Answers
Answer:
18.2
Step-by-step explanation:
45.5/2.5 = 18.2
5. If two angles are complementary and one angle is 40°, what is the other angle?
6. If two angles are supplementary and one angle is 40°, what is the other angle?
Answers
5. complementary angles = 90°
90 - 40 = 50
50°
6. supplementary angles = 180°
180 - 40 = 140
140°
5) complimentary angles = 90
If one is 40 then the other is = 90-40= 50
6) Supplementary angles = 180
If one is 40 then the other is = 180 - 40 = 140
Hope u understand
Please mark as the brainliest
Thank You
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to
school.
How long does it take Andre to walk to school?
Answers
Answer:
16
Step-by-step explanation:
What is sec 0 when cot 0 = -4V2? 0 (1,0) [?] [ ] Rationalize the denominator if necessary. sec 0 =
Answers
Answer:
[tex]Sec~ 0=\frac{\sqrt{66} }{8}[/tex]
Step-by-step explanation:
[tex]Cot~0=-4\sqrt{2}[/tex]
[tex]Sec~0=\sqrt{33}/4\sqrt{2}[/tex]
[tex]=\sqrt{33}/4\sqrt{2} *4\sqrt{2} /4\sqrt{2}[/tex]
[tex]=4\sqrt{66} /32[/tex]
[tex]= \sqrt{66}/8[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
hope it helps...
have a great day!!!
Read the excerpt from Martin Luther King Jr.’s "I Have a Dream” speech.
We can never be satisfied as long as the Negro is the victim of the unspeakable horrors of police brutality. We can never be satisfied as long as our bodies, heavy with the fatigue of travel, cannot gain lodging in the motels of the highways and the hotels of the cities. We cannot be satisfied as long as the Negro's basic mobility is from a smaller ghetto to a larger one.
Why does King repeat the phrase "we can never be satisfied”? Select 3 options.
to inspire listeners
to demand action
to explain racial differences
to show negativity
to rally emotional support
to accept current treatment
PLZZ HELP I HAVE A TIMER
Answers
Answer:
1. To Inspire Listeners
2. To Demand Action
5. To Rally Emotional Support
Step-by-step explanation:
I just took the test:)
Find the interquartile range (IQR) of the data in the dot plot below. goals luis's lacrosse
Answers
Answer:
3.5
Step-by-step explanation:
The interquartile range is the difference between the third and first quartile
IQR = Q3 - Q1
From the dot plot given :
The data, X could be culled :
X = 43, 44, 44, 44, 45, 45, 47, 48, 48
n = 9
Q3 = 3/4(n + 1)th term
Q3 = 3/4(10) = 7.5th term = (47 + 48) / 2 = 47.5
Q1 = 1/4(n + 1)th term
Q1 = 1/4(10) = 2.5th term = (44 + 44) / 2 = 44
Q3 - Q1 = 47.5 - 44 = 3.5
Answer:
3.5
Step-by-step explanation:
smart
Find mZEGD
helppppppppppp pleaseeee :))
Answers
Answer:
30
Step-by-step explanation:
I believe it would be 30 degrees because it is opposite of mAGB.
Help please with this math ;-; I beg of you
Answers
Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = [tex]A=\pi r^2[/tex]
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A
Answer:
49 - 9π
Step-by-step explanation:
Hope this helps
I AM GIVING OUT BRAINLIST
Answers
Step-by-step explanation:
18.706 → 19
18.706 → 18.71
18.706 = 19
18.706 = 18.71
Sariya and Kate went to lunch and their total bill was $36.96. If they
left a 20% tip. How much would their total bill be?
Answers
Answer:
$ 44.352
Step-by-step explanation:
The bill of both of them was $36.96. And they gave a tip of 20%. So , the total amount paid will be ,
=> Amount = Bill + 20% of Bill
=> Amount = $36.96 + 20% of $ 36.96
=> Amount = $36.96 + 1/5 * $36.96
=> Amount = $36.96 + $7.392
=> Amount = $ 44.352
Hence the amount paid by them is $44.352.Answer:
$44.352
Step-by-step explanation:
Their bill = $36.96
Tip = 20% of $36.96
= 20/100 × 36.96
= $7.392
Hence, their total bill = $36.96 + $7.392
= $44.352
Triangle A (1, 1), B (4, 4), C (6, 2) is a: Group of answer choicesIsosceles triangle Right triangle Acute triangle None of the other answers are correct Equilateral triangle
Answers
Answer:
Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.
Step-by-step explanation:
First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:
Line segment AB
[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]
[tex]AB = 3\sqrt{2}[/tex]
Line segment BC
[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]
[tex]BC = 2\sqrt{2}[/tex]
Line segment AC
[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]
[tex]AC = \sqrt{26}[/tex]
And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].
Angle A
[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)
[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]
[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]
[tex]\cos A = 0.832[/tex]
Angle B
[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)
[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]
[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]
[tex]\cos B = 0[/tex]
Angle C
[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)
[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]
[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]
[tex]\cos C = 0.555[/tex]
Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.
Which is equivalent to 3 X 3 X 3 X 3 X 3 A 3x5 B 3^3 C 5^3 D 3^5
Answers
Answer:
2x+5x-6
Step-by-step explanation:
Find the volume, to the nearest cubic centimeter, of a cylinder with radius 4 cm and height 12 cm.
a. 48 cm3
C. 1206 cm
b. 402 cm
d. 603 cm
Answers
Answer:
603 cm³
Step-by-step explanation:
v = πr²h
v = π(4²)12
v = 3.14 * 16 * 12
v = 602.88
rounded
603 cm³
Q7. What would be the best next step in solving the following equation for x?
8x - 4 = 10
Answers
Answer:
The next step would be adding -4 to the other side since it would cancel out -4
Step-by-step explanation:
NEED HELP ASAP!!! GIVING 50-100 POINTS BRAINLEST FOR THE PERSON WHO IS CORRECT!!
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 2, 4, 9, 11, 19, 21.
Answers
Answer:
mean: 11 median: 10
Step-by-step explanation:
Answer: Mean =11
Median =10
Step-by-step explanation:
Find the magnitude and directon of F +ū.
Answers
Answer:
Step-by-step explanation: