D.2y square root x/square root y
the sum of the first three terms of a sequence Is 42 The fourth term is 24. find u1 and the common difference
[tex]10=2d[/tex]
Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is
[tex]u_n=u_1+(n-1)d[/tex]
where, u₁ is first term and d is common difference.
4th term is 24.
[tex]u_4=u_1+(4-1)d[/tex]
[tex]24=u_1+3d[/tex] ...(i)
Sum of nth term of an AP is
[tex]S_n=\dfrac{n}{2}[2u_1+(n-1)d][/tex]
Sum of first three terms is 42.
[tex]S_3=\dfrac{3}{2}[2u_1+(3-1)d][/tex]
[tex]42=\dfrac{3}{2}[2u_1+2d][/tex]
Divide both sides by 3.
[tex]14=u_1+d[/tex] ...(ii)
On subtract (ii) from (i), we get
[tex]10=2d[/tex]
[tex]5=d[/tex]
Put d=5 in equation (ii).
[tex]14=u_1+5[/tex]
[tex]14-5=u_1[/tex]
[tex]9=u_1[/tex]
Therefore, the first term is [tex]u_1=9[/tex] and common difference is [tex]d=5[/tex] .
In the group of noo students
68 likes Football 60 like volleybal
How many likes only football?
Answer:
zero
Step-by-step explanation:
if their are no students then how will the likes are given ...
Answer:
if their are no students then how will the likes are given ...
Step-by-step explanation:
$4.29 per pound for ham OR 2 pounds of ham for $8.50
Answer:
8.50 for 2 lb of ham is corecct it is less
Step-by-step explanation:do 4.29+4.29 which eqauls8.58
Answer:
8.50 for 2 pounds is a better deal
Step-by-step explanation:
If you went with 4.29 per pound you would have to pay 8¢ more than 8.50 . You would have to pay 8.58 instead
expand and simplify 3(2x+1)+2(x+4)
Answer:
8x+11
Step-by-step explanation:
1. 6x+3+2x+8
2. 8x+11
Answer:
8x + 11
Step-by-step explanation:
3(2x+1)+2(x+4)
distribute the 3 & 2 within the parentheses. first, multiply 3 and 2x, then multiply 3 and 1 to get 6x + 3. next, multiply 2 and x, then multiply 2 and 4 to get 2x + 8. this gives you:
6x + 3 + 2x + 8
then add like terms (6x + 2x and 3 + 8) to get your simplified final answer:
8x + 11
Suppose g(x) = 3 + 5x.
What is the value of x when g(x) = 23?
(Hint: If 23 and g(x) are equal, then you can substitute 23 for g(x) in the orginial function).
Your answer:
118
5
15
4
9514 1404 393
Answer:
4
Step-by-step explanation:
Substitute the given value for g(x) and solve the 2-step equation for x.
g(x) = 3 + 5x
23 = 3 +5x
20 = 5x . . . . . . subtract 3
4 = x . . . . . . . . divide by 5
The value of x is 4 when g(x) is 23.
?!?can someone tell me how to solve for domain and range on a graph!!!
Answer:
The domain is all of the x values for which the function has a y value and visa versa for the range. So the domain is the minimum x value to the maximum x value and the range is from the minimum y value to the maximum y value. Filled in circles include the point its on and open circles do not. You can show this difference using parentheses and brackets. brackets include the point, parentheses.
Step-by-step explanation:
x^3 = -27
i rlly need this right
Answer:
X=-3
Step-by-step explanation:
-3^3 is -27
Answer:
x³ = -27
x³×⅓ = -3³
x = -3³×⅓
x = -3
5. Solve the polynomial equation:
Solution,
Given; x^3-7x^2-x+7=0
Using factor theorem,
we have,
i)x^3-7x^2-x+7=0
let's check whether 1 is the factor of given equation or not by replacing the value of x by one..
or, 1^3-7.1^2-1+7=0
or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)
.°.0=0
which proves that 1 is one of the factor of x
therefore(x-1) is a factor of x^3-7x^2-x+7=0.
Now,
Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...
ii)x^3-7x^2-x+7=0
or,x^3-x^2-6x^2+6x-7x+7
or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0
or,(x-1) (x^2-6x-7)w = 0
or,,(x-1) (x^2-(7-1)x-7) =0
or,,(x-1) (x^2-7x + x -7) =0
or,(x-1) [x(x-7)+1(x-7)] = 0
or,(x-1) (x+1) (x-7) = 0
Either,
i) x - 1=0
.°.x = 1
And,
ii)x + 1 = 0
.°. x = -1
Or,
iii) x - 7 = 0
.°.x =7
Hence, the required value of x are -1 ,+1 & 7.
What is the final price of the T.V.?
Jaylens betta fish holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in gallons per minute?
Answer:
14/30 gallons
Step-by-step explanation:
A line passes through the point (-8,4) and has a slope of -3/2 . Write an equation in point-slope form for this line.
Answer:
2333
Step-by-step explanation:
Tristan walks at a rate of 4 yards every 5 seconds. If Tristan continues to walk at the same rate, how long will it take Tristan to walk 72 yards?
Answer:
It will take him 90 seconds
Step-by-step explanation:
Divide 72 by 4 and then multiply that by 5. that will show you how many seconds it take him to walk 73 yards
2
5 x+y=3
How do u solve please help lol ?
Answer:
that question kinda have alot of answers but try y=-25x+31
Step-by-step explanation:
How many whole numbers between 15 and 35 can be divided exactly by 6? options: (1)5 (2)2 (3)3 (4)4
Answer:
4
Step-by-step explanation:
6,12,18,14,30,35 only four numbers that are between 15-35
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $451,299 house for sale. If he lists it, he will need to spend $3,925 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $20,283. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 37%. What is the expected profit on this listing.
Answer:
The expected profit on the listing is $5031.96
Step-by-step explanation:
Given that:
The probability of selling the house in 6 months is p = 0.37
The probability of not selling the house = 1 - 0.37 = 0.63
Suppose Y represents the profit on the listing,
Then: the expected profit on the listing can be computed as:
E(X) = ($20283* 0.37) - ($3925*0.63)
E(X) = $7504.71 - $2472.75
E(X) = $5031.96
Thus, the expected profit on the listing is $5031.96
The expected profit on the listing is $5031.96.
Calculation of the expected profit:Since
The probability of selling the house in 6 months is p = 0.37
The probability of not selling the house = 1 - 0.37 = 0.63
here Y means the profit on the listing,
So, the expected profit is
E(X) = ($20283* 0.37) - ($3925*0.63)
E(X) = $7504.71 - $2472.75
E(X) = $5031.96
Thus, the expected profit on the listing is $5031.96.
Learn more about profit here: https://brainly.com/question/24673559
Roberto Clemente, born in Puerto Rico, became the first Latino baseball player to be inducted in the National Baseball Hall of Fame in 1973. He held many records including reaching 3,000 career hits. During that game, the umpire briefly stopped the game to give the ball to Clemente, who tossed it from second base to the first base coach. If the first base coach was standing 3 feet behind first base and Clemente was standing on second base, which is 90 feet from first base, which expression describes the distance between Clemente and the first base coach?
Answer:
93ftStep-by-step explanation:
Kindly find a simple sketch of a baseball pitch, the circle with a dot inside represents the first base coach(don't mind my drawing please I will improve).
So, from the diagram, we can see that the expression that describes the distance and the first base coach is
y=90+3
y=93
so the distance between Roberto Clemente and the first base coach is 93ft
h(x) = –24x + 53 + 3x2
Answer:
h=
3x2−24x+53 orver x
Step-by-step explanation:
Which equation best represents the line graphed above?
A) y=2
B) y= x + 2
C) y=2x
D) x= 2
Answer:
x = 2
Step-by-step explanation:
The line goes straight through the x axis
Answer: x=2
Step-by-step explanation:
The line goes up and down, which is, Horizontal and Vertical Lines
Vertical lines go up and down and have a slope that is undefined. Graphs of horizontal lines are parallel to the x-axis. Graphs of vertical lines are parallel to the y-axis.
can someone please help me with this one?
it's very urgent!!
Write a paragraph, flow chart, or 2-column proof for the following Conjecture.
Given: ∠1≅ ∠4
Prove: ∠3 ≅∠2
3 = 2 by z property
Step-by-step explanation:
Congruence criteria for triangles
If two sides and the angle between them in one triangle have the same measures as two sides and the angle between them in another triangle, then the triangles are congruent.
Please mark as brainliest
Find the value of a and b
Answer: a = 40 degrees and b = 104 degrees
Step-by-step explanation:
Since a is directly across from 40 degrees those are vote equal. Now that we know a is 40 we also have b which lies on a straight line, meaning that it is a part of 180 degrees. We also have a and a 36 degree angle on that line. Since we know a is 40 we can add angle a and 36 to get 76 degrees. Now that we know part of the 180 degrees is 76, we subtract that from 180 to get angle b, meaning that b=106.
between which two consecutive whole numbers square root 75 lie
Answer:
between 8-9
Step-by-step explanation:
I just used my calculator lol
A fin whale is 150.25 feet below sea level. A bowhead whale is 105.7 feet below sea level. Which whale is further away from sea level? *
Answer: T-rex
Step-by-step explanation:
Use the distributive property to write an equivalent expression to
5(6y-5b+1)
Answer:
-25b + 30y + 5
Step-by-step explanation:
5 × -5b = -25b5 × 6y = 30y5 × 1 = 5Put them together: -25b + 30y + 5I hope this helps!
V=8×3 14×a solve for a
Answer:
keep in coming it is easy it is 14
Please help brainiest is award!
y-y1= m(x-x1)
y+12=3/4(x-8)
y+12=3/4x-6
y=3/4x+6
i think that's it
What is the standard form
Answer:
7(x-1)2+3
Step-by-step explanation:
6 increased by the sum of k and 2
Answer:
6 * k2
Step-by-step explanation:
what is this fraction in its simplest form?
Answer:
a^2/3
Step-by-step explanation:
the numerator simplifies to 5a^3 and the bottom is 15a. we can use our exponent rules to subtract exponents, so it is 1/3(a^2). this simplifies to a^2/3.
Answer:
a^2
------
3
Step-by-step explanation:
5 a^3 / 15a
Simplify the numbers
5/15 = 1/3
Simplify the variables
a^3 /a = a^2
Putting it back together
a^2
------
3
hey need help....heheheh Oki do u guys know wut 2.19 times 43.7 is......it's for a test -_-
Answer:
95.703
Step-by-step explanation:
If you could subscribe to penny_pg3d that would be great :>
Answer:
Your answer is 95.703!
Step-by-step explanation: To explain, It's easier to break apart the decimals and multiply that way step by step. I hope this helps you in future situations! Good luck on your test!
Using the Segment Addition Postulate, find the value of m.
AB = 4m - 15
BC = 5m - 6
AC = 15
Group of answer choices
36
4
15
9
Answer:
36
Step-by-step explanation:
AB + BC = AC
4m - 15 + 5m - 6 = 15
m - 21 = 15
m = 36