Answers
Answer:
[tex]Sum = 832[/tex]
Step-by-step explanation:
Given
See attachment
Required
Evaluate
The expression can be expressed as:
[tex]Sum = 2n + 5;\ n=1...26[/tex]
To do this, we make use of sum of n terms of an AP.
When n = 1
[tex]2n + 5 = 2 * 1 + 5 = 7[/tex] --- T1
When n = 2
[tex]2n + 5 = 2 * 2 + 5 = 9[/tex] --- T2
When n - 26
[tex]2n + 5 = 2 * 26 + 5 = 57[/tex] --- T26
Next, we calculate d (common difference)
[tex]d = T_2 - T_1[/tex]
[tex]d = 9 - 7 = 2[/tex]
So, the sum is:
[tex]Sum = \frac{n}{2}(T_1 + T_n)[/tex]
Let n = 26
So, we have:
[tex]Sum = \frac{26}{2}(T_1 + T_{26})[/tex]
Substitute values for T1 and T26
[tex]Sum = \frac{26}{2}(7+57)[/tex]
[tex]Sum = \frac{26}{2}(64)[/tex]
[tex]Sum = 13*64[/tex]
[tex]Sum = 832[/tex]
Related Questions
if you were to roll two standard six-sided dice, what is the probability that both land on a 3 or greater
Answers
Answer:
4/9
Step-by-step explanation:
P(≥3 and ≥3) = 4/6 x 4/6 = 4/9
6/5 of ______ is 30
Please help
Answers
—————-
5x1= 5
180/5=36
5/5 =1
36/1
Answer : 36
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
Find the degree of the monomial.
1/3x^5y
Answers
Answer:
6
Step-by-step explanation:
24 divided by 2 times 5 then square foot of it
Answers
Answer:
7.75
Step-by-step explanation:
sq rt of (24/2)(5) = sq rt of 60 = 7.75
Answer:
7.75 rounded
Step-by-step explanation:
24 / 2 = 12
12 * 5 = 60
7.7459
rounded its 7.75
find simple interest amount for 1000 for one year at 6%
Answers
Answer:
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answers
Answer:
5 to each group and she gave 6 stickers to he sister
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answers
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
i need help!!!!!!!!......
Answers
Answer:
x² / z²
Step-by-step explanation:
i factored each expression and when it came to division, I multiplied by the reciprocal
[x(y + z) / z(x - z)] · [y(x - z) / z(x + y)] · [x(x + y) / y(y + z)]
re-write the above in a horizontal fraction form and it will be easier to follow
A house was valued at $292,000 . Over several years, the value increased by 8%, giving the house a new value.
Answers
Answer:
315,360 I had to assume you needed that number, 292000+8%=315360
7. Original price: $32
Discount: ?
Sale price: $8
Answers
Answer:
The discount is $24 but if its percentage it is 75% off
Step-by-step explanation:
hope this helps
You can purchase 2 sodas for 3 dollars, how much does 6 sodas cost?
Answers
Answer:
It costs $9
Step-by-step explanation:
Lets look at the ratio:
2/3
We need x:
6/x
Make an equation using the butterfly method:
3(6) = 2x
Simplify:
18=2x
Divide both sides by 2:
x=9
It costs $9
Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)
Answers
Answer:
b. no solution
Step-by-step explanation:
change to slope-int form
y=-4x-8
y=-4x+5/2
see how the slopes are the same but the y-int are different? they are parallel, so they never touch
On the first day of
December it snowed 234
inches. The second day it
snowed 1/2 inches, and the
third day it snowed 38 of
an inch What was the
total amount of snow fall
over the first three days
of December?
Challenge: What was the
average snowfall over the
three days?
Answers
272.5 inches of snow.
what does math means
Answers
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
Identify the slope.Nadia's pool already has 1000 gallons of water when she begins to fill it. It fills at a rate of 22 gallons per minute.PLZZ HELP
Answers
22 would be the slope
Which of these equations are true when the value of y is 27?
I. −9 + y = 18
II. −18 + y = −45
III. 5y = 135
IV. 2y = 29
Answers
Answer:
I. -9 + y = 18
Step-by-step explanation:
Double-check to see if I was correct
The equations I. and III. satisfies the condition when y = 27
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The value of y = 27
So , substituting the value of y in all of the given equations , we get
I.
-9 + y = 18
when y = 27
Substituting the value of y , we get
-9 + 27 = 18
18 = 18
So , I. satisfies the condition and the equation is TRUE
II.
-18 + y = 45
when y = 27
Substituting the value of y , we get
-18 + 27 = 45
9 ≠ 45
So , II. does not satisfy the condition and the equation is FALSE
III.
5y = 135
when y = 27
Substituting the value of y , we get
5 x 27 = 135
135 = 135
So , III. satisfies the condition and the equation is TRUE
IV.
2y = 49
when y = 27
Substituting the value of y , we get
2 x 27 = 29
54 ≠ 29
So , IV. does not satisfy the condition and the equation is FALSE
Hence , the equations I. and III. are TRUE
To learn more about equations click :
https://brainly.com/question/10413253
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eggs are packaged by the dozen. if a dozen eggs cost $1.20, what is the unit price per egg?
Answers
Answer:
$0.10
Step-by-step explanation:
$1.20 divided by 12
Answer:
Price divided by quantity
that equation will make unit price a heck of a lot easier to remember
in this case, the quantity is 12. The price is 1.20. So, divide 1.20 by 12, and you get 10 cents per egg.
The unit price is .10 cents per egg.
Pls help me do you know the answer let me know
Answers
Answer:
Are you telling us to answer it all?
Step-by-step explanation:
Answer:
I'm so sorry I have no idea seems so so complicated
Step-by-step explanation:
But I think you would need a specific equation for it and substitute numbers in it.
A car can travel 41 miles on 1 gallon of gasoline. How far can it travel on 14
gallons?
Answers
Answer:
574
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
The car goes 28 miles on 1 gallon of gas. If you have 14 gallons you would go 14 times faster than if you only have 1 gallon
The prom committee has no more than $600 to spend on centerpieces for the prom. If each centerpiece costs $25, what is the maximum number of centerpieces the committee can buy?
Answers
Answer:
600/25 = 24
Brainiest plz :)
Answer:
600/25 = 24
Have a good day I hope this helps.
How were some European Jews able to come to Georgia in the 1930s? Check all that apply.
The US government loosened its restrictions on Jewish immigration.
Officials in the Georgia state government sponsored most immigrants.
Jewish immigrants tried to help family members back in Europe escape.
Private organizations helped Jewish children and teenagers find homes.
American citizens legally agreed to be responsible for Jewish immigrants.
Jewish American activists worked to bring immigrants to the United States.
Answers
Answer:
1 2 and 4
Step-by-step explanation:
Answer:
3,4,5,&6
Step-by-step explanation:
Exercise 4.3. Determine the exact probability of drawing a 10 from a shuffled pinochle deck. (In a pinochle deck, there are 48 cards. There are six values: 9, 10, Jack, Queen, King, Ace. There are two copies of each value in each of the standard four suits: hearts, diamonds, clubs, spades.)
Answers
Answer:
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Total of 48 cards.
Of those, there are 2*4 = 8 cards that are 10. So
[tex]p = \frac{8}{48} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i
Answers
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
help me out yall pleaseeee
Answers
Some one please help
Answers
Answer:
1/31 or [tex]\frac{1}{31}[/tex]
To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
i will give brainiest! i have to turn this in tonight please hurry.
Answers
9514 1404 393
Answer:
(c) 24 minutes
Step-by-step explanation:
The rate of working problems differs by ...
(1 problem)/(1.5 minutes) - (1 problem)/(2 minutes)
= (2/3 -1/2) problems/minute
= 1/6 problems per minute
So, to make up the difference of 4 problems will take ...
time = quantity/rate = (4 problems)/(1/6 problem/minute) = 24 minutes
Caroline and Chase will be on the same problem after 24 minutes.
_____
Additional comment
Technically speaking, Chase will just be finishing problem 26 when Caroline starts it after 19.5 minutes. At that point in time, they are on the same problem. The answer choices suggest the real question is, "after how many minutes will they be starting the same problem at the same time?" After 24 minutes, both will be starting problem 29 at the same time.
Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answers
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
To learn more about the function;
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Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches
Answers
Answer:
9
Step-by-step explanation:
The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.
A car dealership decreased the price of a certain car by 12%. The original price was $37,400.
Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price= × Original price
Use your answer in part (a) to determine the new price. Newprice: $
Answers
Answer:
(b) The new price of car is $43584.
Step-by-step explanation:
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches
Answers
Answer:
Step-by-step explanation: