Answers
====================================================
Explanation:
The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.
It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.
------------------
If n = 1, then we have
(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5
Let A = -5 as we'll use it later.
------------------
If n = 2, then
(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8
Let B = 8 since we'll use this later as well
------------------
If n = 3, then
(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11
Let C = -11
-------------------
If n = 4, then
(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14
Let D = 14.
--------------------
We'll add up the values of A,B,C,D to get the final answer
A+B+C+D = -5+8+(-11)+14 = 6
This means that
[tex]\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6[/tex]
Related Questions
Graph the linear equation
Answers
the theaters sell tickets for a concert. tickets for the lower level are $35 each and tickets for the upper level are $25 each. the theater sold 350 tickets for $10,250. how many tickets were sold in each section
Answers
$35x + $25y = $10,250
Equation 2 for quantity (number #) of tickets sold:
x + y = 350
Use substitution method:
y = 350 - x
35x + 25 (350 - x) = $10,250
35x + $8750 - 25x = $10,250
10x + $8750 = $10,250
- $8,750 -$8,750
10x = 1,500
x = 150
y = 350 - 150
y = 200
Check the answers:
$35 (150) + $25 (200) =
$5,250 + $5,000 = $10,250
9514 1404 393
Answer:
150 lower level200 upper levelStep-by-step explanation:
Let x represent the number of lower-level tickets sold. Then the total revenue is ...
35x +25(350-x) = 10250
10x +8750 = 10250 . . . simplify
10x = 1500 . . . . . . . . . subtract 8750
x = 150 . . . . . . . . . . . lower-level tickets sold
350-x = 200 . . . . . upper level tickets sold
There were 150 tickets sold for the lower level, and 200 sold for the upper level.
Pls help with a khan academy againnnn
Answers
Answer:
x=0.75
Step-by-step explanation:
-2.5(4x-3)
-10x=-7.5
x=0.75
Ivanah answered 96% of the test questions correctly. There are 50 questions on the test. How many questions did Ivanah answer correctly?
Answers
Answer:
48
Step-by-step explanation:
50*96%=48
Answer: 48 questions
Step-by-step explanation:
The way you were told how to do this could be different but this is how I learned-
96%=ninety six hundredths, also written as (96/100). That represents the part out of the whole ( you got 96 out of 100). That fraction is equal to (x/50), where x= questions answered correctly. To find x, multiply 50 by 0.96 (because 0.96= 96/100)
angle of elevation
neither
angle of depression?
Answers
Answer:
elevation
Step-by-step explanation:
¿Cuál es el resultado cuando el número 36 se incrementa en un 25%?
Answers
Answer:
45
Step-by-step explanation:
Mark me brainliest plzzz
Find the missing side. Round to the nearest tenth.
Answers
Answer:
40.00520088 or 40 rounded
Step-by-step explanation:
sine rule
In a sale, normal prices are reduced by 17%.
The normal price of a washing machine is reduced by £42.50
Work out the sale price of the washing machine.
Answers
Answer:
The sale price of the washing machine is £207.50.
Step-by-step explanation:
Percentages
To find a percentage of a given number, the procedure is multiplying the percentage by the number and divide by 100.
Suppose the normal price of the washing machine was x before the discount. The discount is:
17% of x = 17/100 * x = 0.17x
This discount is given as £42.50, thus:
0.17x = £42.50
Solving:
x = £42.50/0.17
x = £250
The sale price is:
£250 - £42.50 = £207.50
The sale price of the washing machine is £207.50.
Evaluate the expression 6x for x 6.
6x = blank when x=6
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
x = 6[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of 6x[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
~ Plug the value of x and then multiply !
⇾ [tex] \tt{6x = 6 \times 6 \times = \boxed{36}}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{36}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
PLS HURRY FOR THE LOVE OF GOD
On a coordinate plane, a line goes through (0, negative 6) and (2, 0) Negative one-third
A. -1/3
B. 1/3
C. 3
D. -3
giving 25pts whoever answers it first
Answers
Answer:
The answer is 44!
Step-by-step explanation:
hehe ywww!!
renegade???
5) Derek was surfing through the internet for a good deal on t-shirts. Help Derek find the
best buy among the following deals: Three t-shirts for $28.95, four t-shirts priced at
$39, and an offer of five t-shirts for $49.95.
Answers
Answer:
The first one
Step-by-step explanation:
To figure out which one is the best deal, for each one how much one t-shirt costs.
First deal:
3 t-shirts for $28.95
To figure out how much money one t-shirt would cost, you divide $28.95 by 3.
1 t-shirt = 28.95/3 = $9.65.
Second deal:
4 t-shirts for $39
Same thing as the last one, except since there are 4 t-shirts you divide $39 by 4.
1 t-shirt = 39/4 = $9.75
Third deal:
5 t-shirts for $49.95
This time you will divide 49.95 by 5.
1 t-shirt = 49.95/5 = $9.99
The last step is to compare the three deals, and since you are trying to find the one that costs the least you can see that the first deal is the best one, because $9.65 per shirt is cheaper than $9.75 and $9.99
Kevin went bowling with $25 to spend. He rented shoes for $4.25 and paid $4.00 for each
game. What inequality could be used to find g, the greatest number of games Kevin could
have played?
a. 4g + 4.25 = 25
b. 4g + 4.25 2 25
c. 9.25g 5 25
d. 25g 2 25
Answers
Answer:
4g+4.25[tex]\leq[/tex]25
Step-by-step explanation:
He doesn't have more than $25
HELP MEE PLEASEEGWGWGS i’ll give brainlest to who ever answers
Answers
Answer:
The answer is 3
i hope this helps
Given that f(x) = 2x+4 and h(x)= x3, find (h of)(1).
Answers
Answer:
Solution,
Given,
f(x) = 2x + 4
h(x) = [tex]x^{3}[/tex]
Now,
hof(x) = h{f(x)} = h (2x + 4) = [tex](2x+4)^{3}[/tex]
Put x = 1,
hof(1) = [tex][2(1)+4]^{3}[/tex] = 216
Please HELP !!!!!!!!!!!!!!! IT IS DUE TODAY :( The circle graph below shows the different ways students get home from Astro-park Middle School.
40% School bus
15% car
20% Bicycle
25% walk
If there are 1200 students, how many students DON'T take the school bus home?
students.
Answers
Answer:
480
Step-by-step explanation:
1200 times 0.4 equals 480
Is this a function pls help me
Answers
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
No, because if you do the Vertical Line Test it passes through more than one point on the graph
Acomputer store buys a computer system at a cost of $468.60. The selling price was first at $781,
but then the store advertised a 30% markdown on the system. Answer parts a and b.
Answers
If a computer store buys a computer system at a cost of $468.60. The selling price was first at $781, but then the store advertised a 30% markdown on the system. The current sale price is $546.7.
What is the current sales price?Given data :
Cost price = $468.60
Selling price = $781
Markdown = 30% or .30
Hence,
Let x represent the current sales price
781 - (30% × 781) = x
781 - 781 × 0.3 = x
781 × (1 - 0.3) = x
781 × 0.7 = $546.7
Therefore $546.7 is the current sale price for the computer system.
Learn more about current sale price here:https://brainly.com/question/8421289
#SPJ1
The complete question is:
A computer store buys a computer system at a cost of $468.60. The selling price was first at $781, but then the store advertised a 30% markdown on the system Find the current sale price?
. What's 15734x12394?
Answers
Answer:
195007196
Step-by-step explanation:
Answer:195007196
Step-by-step explanation:
All trucks traveling on Interstate 40 between Albuquerque and Amarillo are required to stop at a weigh station. Trucks arrive at the weigh station at a rate of 0.42 trucks/min, and the station can weigh, on the average, 0.46 trucks/min. Determine the following:
a. Average number of trucks waiting in the queue, Lq
b. Average waiting time in the queue for each truck, Wq
c. Average time spent in the system by each truck, W
d. Probability that arriving truck has to wait for service, PW
e. Probability that one truck is waiting in the queue and one truck is being served, P2
f. What is the probability that more than two trucks are waiting in the queue (i.e. more than three in the system)?
Answers
Answer:
9.587 ; 22.83 ; 25 minutes
Step-by-step explanation:
Given that:
Arrival rate (λ) = 0.42 trucks/ min
Service rate (μ) = 0.46 trucks / min
Trucks arrive at the weigh station at a rate of 0.42 trucks/min, and the station can weigh, on the average, 0.46 trucks/min. Determine the following:
a. Average number of trucks waiting in the queue, Lq
Lq = λ² / μ(μ - λ)
Lq = 0.42² / 0.46(0.46 - 0.42)
Lq = 0.1764 / 0.0184
= 9.5869565
= 9.587
b. Average waiting time in the queue for each truck, Wq
Wq = λ / μ(μ - λ)
Wq = 0.42 / 0.46(0.46 - 0.42) = 22.83 minutes
c. Average time spent in the system by each truck, W
W = 1 / (μ - λ)
W = 1 / (0.46 - 0.42)
W = 1 / 0.04
W = 25 minutes
Please use the following data to build a regression model and write a summary. IV is sugar and DV is calories.
Sugar: 5, 8, 9, 10, 15, 18, 14, 17, 20, 22, 24, 26, 30 ,30, 32
Calories: 20, 30, 60, 70, 100, 95, 70, 83, 103, 112, 130, 80, 95, 130, 112
Answers
Answer:
y = 3.0453 + 29.1542x
Step-by-step explanation:
Given the data:
Sugar (X) : 5, 8, 9, 10, 15, 18, 14, 17, 20, 22, 24, 26, 30 ,30, 32
Calories (Y) : 20, 30, 60, 70, 100, 95, 70, 83, 103, 112, 130, 80, 95, 130, 112
To obtain the regression model :
General form of a regression equation :
y = c + mx
y and x are the dependent and independent variables ;
m = slope ;
Thus ;
Regression model for the data above is:
y = 3.0453 + 29.1542x
Sarah has 3 3/4 cups of sugar. Each batch of pancakes uses 1/2cups of sugar. How many batches of pancakes can she make?
Answers
Answer:
7 1/2
Step-by-step explanation:
Jason went to a batting cage. He hit 32 out of 40 balls that were pitched.
What is his batting percentage? *
Answers
Answer:
80%
Step-by-step explanation:
which graph is right?
Answers
Answer:
C
Step-by-step explanation:
if y > 5 the graph that is highlighted above y=5 dotted line will include the solutions since the solutions will be greater than 5
Which of the following is the slope of the line that passes through the points ( –2, 8) and (10, –1)
Answers
Answer:
none of them
Step-by-step explanation:
plug it into desmos, and none of them pass through the points
how does 3.71 round up to 3.7
Answers
Answer:
Step-by-step explanation:
cuz 7 is greater then 5
Completely factor the polynomial, if possible.
16x2 – 14x + 1
i need help asap!! thank you :)
Answers
Answer:
Complex roots [Refer picture]
Step-by-step explanation:
I am not sure if it's correct.
But we will get complex roots
Please help, i will give brainliest
Answers
the answer is A and C
A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large ship- ment is received, a random sample of 200 cartridges is se- lected, and each cartridge is inspected. If the sample pro- portion of defective cartridges is more than .02, the entire shipment is returned to the vendor.
a. What is the approximate probability that a shipment will be returned if the true proportion of defective car- tridges in the shipment is .05?
b. What is the approximate probability that a shipment will not be returned if the true proportion of defective car- tridges in the shipment is .10?
Answers
Answer:
a. 0.9744
b = 0.00008 (approximately 0)
Step-by-step explanation:
We have the sampling distribution following a normal distribution.
1
the proportion, p^ is 0.05, n = 200
Standard deviation = √p^(1-p^)/n
= √0.05(1-0.05)/200
= √0.0475/200
= √0.0002375
= 0.0154
The probability (p>0.02)
= p(z>0.02-0.05/0.0154)
= P(z>-1.95)
= P(z<1.95)
When we use the standard normal table = 0.9744
So, 0.9744 is the approximate probability that a shipment will be returned if the true proportion of defective car- tridges in the shipment is 0.05
b. P^ = 0.10( true population of defective cartridges = 0.10)
= √0.10(1-0.10)/200
= 0.0212
Probability it will not be returned
= P(p<=0.02)
= P(z<=0.02-0.10/0.0212)
= P(Z<= -3.77)
Using the standard normal table
1-p(z<3.77)
= 1 - 0.99992
= 0.00008
This is approximately 0
Thisis the approximate probability that a shipment will not be returned if the true proportion of defective car- tridges in the shipment is .10
Put in order from least to greatest. -76 , 34 , 54 , -12 , |-29|
Integers 6th grade
Answers
Answer:
-76, -12, |-29|, 34, 54
Step-by-step explanation:
I hope this helps you out...
Answer:
-76, -12, 29, 34, 54
Step-by-step explanation:
Since the 29 is in absolute value bars it turns positive.
Brian pays £120 per week in rent.
His landlord decides to increase the rent by 15%.
How much rent does he pay now?
