Answers
Answer:
9x
Step-by-step explanation:
Related Questions
Find the sigma notation of the following sum:
[tex][(\frac{2}{n})^3-\frac{2}{n} ](\frac{2}{n} )+...+[(\frac{2n}{n} )^3-\frac{2n}{n} ](\frac{2}{n} )[/tex]
Answers
Answer:
[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
Step-by-step explanation:
We have the sum:
[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]
And we want to find the sigma notation that represents the sum.
Note that the leftmost term is the first term while the rightmost term is the last term.
n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:
[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]
Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.
Therefore, we can write the following summation:
[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]
And since (2 / n) is constant:
[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
In 2003 the population of an African country was about 22.6 million people, which is 3 million more than 4 times the population in 1950. Enter and solve an equation to find the approximate population
Answers
Answer:
4p + 3= 22.6
There hope this helps you
What is the Vertex of the Absolute Value parent function?
(1,1)
[0,0)
(0,0)
0 (-00,00)
Answers
Answer:
Step-by-step explanation:
(0,0)
:I
IF U CAN HELP ME ILL BRAINIFY U AND U GET ALL MY POINTS. IT HAS TO BE A GOOD ANSWER, AS I THINKING I GOT THE CORRECT ANSWER, SO YOU CANT FOOL ME!!
Sherie makes a canvas frame for a painting using stretcher bars. The retuangular painting will be 12 inches long and 9 inches wide. What should be the diagonal length of the painting in Sherie's question? Record your numerical response. Do not include words, units or spaces
Answers
it would be 15 in. diagonal
Why is the answer A?
Answers
Answer:
B) 2 frozen dinners and 2 dozen jelly doughnuts
Step-by-step explanation:
Calculate the total utility for each option.
A) 46
B) 32 + 21 = 53
C) 16 + 30 = 46
D) 28
Option B has the highest total utility.
What is the expression -7(3z + 5t - 3g) in simplest form?
Answers
Answer:
-3z-5t+3g
Step-by-step explanation:
-7(3z+5t-3g)
= -7×3z +( -7×5t)( -7×-3g)
= -21z-35t+21g
divide all elements by 7
= -21÷7 -35÷7+21÷7
= -3z-5t+3g
(1/5) ^ 3 * (1/5) ^ 4 * (1/5) =
Answers
9514 1404 393
Answer:
(1/5)^8
Step-by-step explanation:
The applicable rules of exponents are ...
a = a^1
(a^b)(a^c) = a^(b+c)
__
(1/5)^3 · (1/5)^4 · (1/5) = (1/5)^(3+4+1) = (1/5)^8
= 1/390625
6th grade math I mark as brainliest
Answers
Answer:
2 3/10
Step-by-step explanation:
9 9/10 - 7 3/5
Answer:
b
Step-by-step explanation:
you would subtract and get answer
Let f(x)=10x. Which function represents a transformation of f(x) by a vertical stretch with factor 1.25? g(x)=101.25x g(x)=0.8⋅10x g(x)=1.25⋅10x g(x)=100.8x
Answers
Answer:
g(x) = 1.25 x 10^x
Answer:
g(x)=1.25 ₓ 10ˣ
Step-by-step explanation:
Solve.
|x + 7] +6 = 32
Answers
Answer:
x=19
Step-by-step explanation:
x+7+6=32
x+6=25
x=19
I need help solving...
Answers
Answer:
x = 4
Step-by-step explanation:
Because we know both figures have the same perimeter, we can set them equal to each other.
3x + 4 + 5x + 1 + 2x + 5 = x + 13 + x + 13 + 2x + 2x
10x + 10 = 6x + 26 (Added like terms.)
4x + 10 = 26 (Subtracted 6x on both sides.)
4x = 16 (Subtracted 10 on both sides.)
x = 4 (Divided 4 on both sides.)
determine which of the following sets of ordered pairs represents a function
Answers
Answer:
B.
Step-by-step explanation:
Every answer besides B. has an input that repeats. A function contains inputs that have exactly one output. This means x values cannot have more than one y value.
If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
Answers
Answer:
360 calories
Step-by-step explanation:
If you look at the ammount of Calories per 3/4 you will quickly find that 3/4 ths of a cup is 1/4 of your goal so multiply the amount of calories by 4 and you will get your awnser.
Can anyone help with these? I appreciate and I will award 5 stars and brainliest
Answers
Graph 1
coordinates : (0,-5) (-6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-5))/(-6-0)
m = 3/-6 = -1/2
Substitute the values,
y = mx + c
-2 = (-1/2)(-6) + c
-2 = 3 + c
c = -5
Thus, equation is y = -1/2x -5
Graph 2
coordinates : ( 4,-2) (-5,3)
m = (y2-y1)/(x2-x1)
m = (3-(-2))/(-5-4)
m = 5/-9
Substitute the values,
y = mx + c
-2 = (-5/9)(4) + c
-2 = -20/9 + c
c = 2/9
Thus, the equation is y = -5/9 + (2/9)
Hope it helps :)
Identify and set up the Trig relationship
X
Answers
Answer:
a: Tanθ = x/y
Step-by-step explanation:
We should recall the trigonometric ratios:
sin = opposite/hypotenusecos = adjacent/hypotenusetan = opposite/adjacentA way to remember this is SOH, CAH, TOA
To solve, we test each option and see if they align with the trigonometric ratios
(see image)
In triangle ABC, it is given that A = 70 degree, B = 52 degree, BO and CO are the bisectors of angle B and angle C
respectively. Find angle OCB andangle BOC.
Answers
Answer:
Angle OCB= 35 degrees and Angle BOC= 119
Step-by-step explanation:
ANGLE OCB= 1/2 C (Construction of bisector)
= 1/2 70
= 35
ANGLE OBC= 1/2 B (Construction of bisector)
= 1/2 52
= 26
Therefore, in triangle BOC,
180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB
180= 35+26+ANGLE BOC
180= 61+ANGLE BOC
ANGLE BOC= 180-61
ANGLE BOC= 119
Answer:
angle ocb=58°
angleboc=96°
Step-by-step explanation:
first get the measure of angle acb which is 58°
this is becoz the total angles in a triangle add up to 180°
angle cbo =26° and angle bco=58°
therefore to get the remaining angle boc ,u add 58 &26 ,then minus from 180
the answer is 96°
The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420)) gave the accompanying data on
y= maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and
x= squawfish length, both in mm.
Use the following statistics to give the equation of the least squares regression line.
x=524.880,
y=413.975,sx=12.251,sy=12.300,
r=0.9562
options:
a) ^y=0.960xâ89.910
b) ^y=0.960x+89.910
c) ^y=â89.910x+0.960
d) ^y=0.952x+89.910
e) ^y=0.952xâ89.910
f) None of the above
Answers
Answer:
the correct answer is not there. here it is:
^y = 0.960x - 89.910
Step-by-step explanation:
we have regression line equation as:
^y = a+bx
we have the following details available
x = 524.88
y = 413.975
Sx = 12.251
Sy = 12.300
r = 0.9562
we have to find values of a and b
b = rSy/Sx
= 0.9562(12.3)/12.251
= 11.76126/12.251
= 0.960
a = y - intercept
= 413.975-0.96(524.88)
= 413.975-503.8848
= - 89.9098
a = -89.910
putting these values into the equation, we have:
^y = -89.910 + 0.9600x
which is also
^y = 0.960x - 89.910
Janine opens a savings account with a deposit of $850. The account pays 1.75% interest,
compounded daily. What is the first day's interest? Round to the nearest cent.
Answers
Answer:?????
Step-by-step explanation:
8x -10= 3(6-2x). X=2
Answers
Answer:
x=2
Step-by-step explanation:
8x-10=18-6x
or,8x+6x=18+10
or,14x=28
x=28/14
x=2
Grayson wrote 1.47 divided by 7 = 2.1.
Why is his thinking incorrect?
Answers
Answer: he needs to put the decimal in front of the 2 so it can be 0.21
Step-by-step explanation:
Answer:
he has to put the decimal point in front of the 2
hope this helps
Classify the following triangle. Check all that apply.
Answers
Answer: A.) obtuse & F.) isosceles
Explanation:
Obtuse because the large angle is greater than 90°
isosceles because two of the sides are equal length
Of the 1,400 students enrolled at Berkmar Middle School, 40% of students enrolled are in the 6th grade. How many students are enrolled in 6th grade? Show your work.
ASAP
Answers
Answer:
3500
Step-by-step explanation:
1400 divided by 40% = 3500
Which of the following is a valid conclusion based on the Venn diagram?
A.
If a pet is not a dog, then it is a beagle.
B.
If a pet is a dog, then it is a beagle.
C.
If a pet is a beagle, then it is a dog.
D.
If a pet is a dog, then it is not a beagle.
Answers
Answer:
C
Step-by-step explanation:
A beagle is a dog but not all dogs are beagles.
Evaluate the expression when x = 12 and y = 2.
x above 3y
38
2
125
8
Answers
12/3(2)
12/6
2!!!!!!
Suppose that an individual has a body fat percentage of 19.7% and weighs 157 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answers
Answer:
31
Step-by-step explanation:
You have an annual earned income of $37,000 and a passive income from internet advertisements paying $1,000 per month. You also sold a boat last year for $9,500.Given this information, determine the amount you made last year before taxes.
Answers
Answer:
34500
Step-by-step explanation:
37000 - 12(1000) = 25000
25000 + 9500 = 34500
image 1
image 2
image 3
none
Answers
Answer:
Image 1
Step-by-step explanation:
It has a varitiy of differnt circles, while the others only have one kind of circle.
Mrs. Davis earns $100 per week plus 6% commission on all of her sales. If she sells a house this month worth $120,000, what is her total income for the month (Assume 4 weeks = 1 month)?
Answers
Answer:
$7600
Step-by-step explanation:
total income = 120,000(.06)+100(4)
total income= 7200+400
total income = 7600
.
Would someone help me to understand this math. Thank you
LINES & LINE SEGMENTS ASSIGNMENT
Plot the following points on the number line below:
A: -25 B: -17 C: -13
D: -1 E: 4 F: 11
G: 16 H: 23 I: 25
Using the points and number line from the problem above, find each of the following. The first one is done for you.
a) BD = | -17 – (-1) | = | -17 + 1 | = | -16 | = 16
b) AE
c) EF
d) GI
e) CH
f) BG
g) CF
h) AC
Answers
Answer:
16, 29, 7, 9, 36, 33, 24, 12
Step-by-step explanation:
The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.
Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names. So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.
This is 8 simple subtraction problems.
a) D - B = -1 -(-17) = 16
b) E - A = 4 -(-25) = 29
c) F - E = 11 -4 = 7
d) I - G = 25 -16 = 9
e) H - C = 23 -(-13) = 36
f) G - B = 16 -(-17) = 33
g) F - C = 11 -(-13) = 24
h) C - A = -13 -(-25) = 12
_____
If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.
In one day's work at the nursery, Dale and Mary together potted 74 plants. If Dale potted 48, how many did Mary pot?
Answers
Answer: 26
Step-by-step explanation: Assuming this a regular subtraction, 26