Answers
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Related Questions
What is the area of the shaded region in the inage below? Leave your anser in terms of pi
Answers
Answer:
182π
Step-by-step explanation:
Subtract areas of two smaller circles from the largest one
Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π
Area of second largest circle = 169π
Area of smallest circle = 49π
400π - (169π + 49π) = 182π
Scarlett is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
Answers
Answer:
24 different outcomes
Step-by-step explanation:
The answer is 24 different possible outcomes. Since there are 4 colors and 6 numbers. Multiply the 4 by 6 to get 24. Hope this helps
1/2y+3.2y=20 need some help, not very good with functions :/ asap tho pls-
Answers
Answer:
hopefully this will help you on your journey!
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?
Answers
Answer:
136 yhdiby8sruygftdtuggdyubhAnswer:
Weight of each large box: 18.25kg
Weight of each small box: 13.25kg
Step-by-step explanation:
For this question, we have two unknowns, but we can solve them as we are given two equations.
If we use the variables 'L' for Large and 'S' for small, we an write out the information given to us as equations:
3L + 5S = 121
6L + 2S = 136
Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:
2(3L + 5S) = 2(121)
=> 6L+10S=242
Now that we have one term which is the same, we can subtract one equation from the other:
6L+ 10S = 242
- (6L + 2S = 136)
------------------------
=>0L + 8S = 106
Now we can solve for S:
8S/8 = 106/8
S = 13.25
And use this value of S to solve for L:
3L + 5(13.25) = 121
3L + 66.25 = 121
3L + 66.25 - 66.25 = 121 - 66.25
3L = 54.75
3L/3 = 54.75/3
L = 18.25
Hope this helped!
Can someone help ASAP
Answers
Answer:
i dont see the pic
Step-by-step explanation:
which expression is equivalent to 36a-12b 4(6a-9b) 4(8a3b) 4(9a+3b) 4(9a-3b)
Answers
Answer:
d). 4(9a - 3b)
Step-by-step explanation:
a). 4(6a-9b)
= 24a - 36b
b). 4(8a-3b)
= 32a - 12b
c). 4(9a+3b)
= 36a + 12b
d). 4(9a - 3b)
= 36a - 12b
Ans the question............
very urgent
Answers
Answer:
It's false.
Step-by-step explanation:
By breaking the middle term.
Put the root into equation, if it equals 0, then it's a root.
2x^2+3x-1=0
2(1/2)^2+3(1/2)-1=0
2(1/4)+3/2-1=0
2/4+3/2-1=0
1/2+3/2-1=0
(1+3-1*2)/2
4-2/2 = 1
1 is not equal to 0.
If 2/3x-1=4,then x=?
Answers
Answer:
a
Step-by-step explanation:
Maryah and Mariah make egg sandwiches. Maryah can make 5 sandwiches in 3
hours and Mariah can make 3 sandwiches in 2 hours.
Enter an equation that can be used to find the number of hours, t, it takes Maryah and Mariah to
make 38 sandwiches. Enter your response in the first response line.
Enter the number of hours, t, it takes Maryah and Mariah to make 38 sandwiches
Answers
equation: 5t + 3t = 38
answer: 5 hours
step-by-step explanation:
5t + 3t = 38
5(5) + 3(5)
25 + 15
40
Mrs. Porte wrote the equation below on the board.
ax+7=8x+b
Enter values of a and b for which x has infinitely many solutions in Mrs. Porte’s equation.
Answers
Answer:
a = 8
b = 7
Step-by-step explanation:
For us to have infinitely many solutions, then what we have on the right side must be equal to what is on the left
In this case, our a value will be equal to 8 whole out b value will be equal to 7
simplify the expression below. (-5 × -4)÷(-3+5)
Answers
Answer:
-10
Step-by-step explanation:
Answer: =10
Step-by-step explanation: Hope this help :D
(-5)(-4)/-3+5
=20/-3+5
=20/2
=10
whats the area of this?
Answers
Please help, I need answers ASAP.......
Answers
Answer:
hope it is helpful to you
Name the minor arcs in the circle
Select all the minor arcs by their correct names.
Answers
Answer: R A C P J
Step-by-step explanation:
Write the equation of the line in slope-intercept form that contains the points (4, -1) and (9, 9).
Answers
Answer:
y = 2x - 9
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - (-1) / 9 - 4
10 / 5
= 2
y = 2x + b
-1 = 2(4) + b
-1 = 8 + b
-9 = b
How do I solve these problems?
Answers
Answer:
- 32, - 7, 18 and 127, 106, 85
Step-by-step explanation:
Add the common difference d to the previous term
(1)
a₁ = - 32
a₂ = a₁ + 25 = - 32 + 25 = - 7
a₃ = a₂ + 25 = - 7 + 25 = 18
The first 3 terms are - 32, - 7, 18
(2)
a₁ = 127
a₂ = a₁ + d = 127 - 21 = 106
a₃ = a₂ + d = 106 - 21 = 85
The first 3 terms are 127, 106, 85
Answer:
-32, -7, 18 and
127, 106, 85
Step-by-step explanation:
You can use the following formula to solve this:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
a is the nth term in the sequence. So at the 3rd term, n = 3
a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.
(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.
d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.
For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:
a = -32 + (n - 1)25
You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:
a = -32 + (1)25
a = -32 + 25
a = -7
The second term is -7. To find the 3rd term, do the same thing.
a = -32 + (n - 1)25
(n-1) is 2, since you're on the third term and n is 3.
a = -32 + (2)25
a = -32 + 50
a = 18
So the first 3 terms are -32, -7, and 18.
For the second one, the formula looks like this:
a = 127 + (n - 1)-21
The first term is 127. Find the 2nd (n is 2):
a = 127 + (1)-21
a = 127 -21
a = 106
Then find the 3rd term (n is 3)
a = 127 + (2)-21
a = 127 -42
a = 85
So the first 3 terms are 127, 106, and 85.
Match each object which the characteristics.
Answers
Answer:
Ray goes with horizon
Line goes with a broom handle
Parallel lines goes with rows of seats on a plane
Line segment goes with a sun ray
Point goes with cookie crumb
Perpendicular lines goes with the letter T
Step-by-step explanation:
Not sure how to explain it
What is the side length of the square with an Area of 25/81 in^2?
Answers
Answer:
[tex]\frac{5}{9}[/tex] in
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length )
Given A = [tex]\frac{25}{81}[/tex] , then
s² = [tex]\frac{25}{81}[/tex] ( take the square root of both sides )
s = [tex]\sqrt{\frac{25}{81} }[/tex] = [tex]\frac{\sqrt{25} }{\sqrt{81} }[/tex] = [tex]\frac{5}{9}[/tex]
i need help pls I'm struggling .
Answers
Answer:
answer: 1/36 or 2.8%
Step-by-step explanation:
Green is the answer because probability for this will be found by doing the chances for both multiplied by each other there is a 1/6 chance of getting 5 so 1/6 x 1/6 = 1/36 so thats why green is the answer. Hope that helps!
A bag contains colored tiles.
3 tiles are red
6 tiles are green
3 tiles are blue
Two tiles will be randomly selected from the bag with replacement. What is the probability that the first tile selected will be green and the second will be red?
A.12
B,322
C,311
D.18
Answers
Answer:
D?
Step-by-step explanation:
I don't really know for sure but I think it's D..Im super sorry if I get this wrong I'm not that good at math.
If sin A = 28 53 sinA= 53 28 and cos B = 3 5 cosB= 5 3 and angles A and B are in Quadrant I, find the value of tan ( A + B ) tan(A+B).
Answers
Answer:
[tex]Tan(A+B)=\frac{264}{23}[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]SinA=\frac{28}{53}[/tex]
[tex]CosB=\frac{3}{5}[/tex]
Let X be the adjective side to A
Let Y be the opposite side to B
Generally the equation for X is mathematically given by
[tex]X^2=\sqrt{53^2-28^2}[/tex]
[tex]X=45[/tex]
Therefore [tex]TanA[/tex]
[tex]TanA=\frac{28}{45}[/tex]
Generally the equation for Y is mathematically given by
[tex]Y^2=\sqrt{5^2-3^2}[/tex]
[tex]Y=4[/tex]
Therefore [tex]TanB[/tex]
[tex]TanB=\frac{4}{3}[/tex]
Generally the equation for [tex]Tan(A+B)[/tex] is mathematically given by
[tex]Tan(A+B)=\frac{TanA+TanB}{1-TanA*TanB}[/tex]
[tex]Tan(A+B)=\frac{\frac{28}{45}+(\frac{4}{3})}{1-(\frac{28}{45})*(\frac{4}{3})}[/tex]
[tex]Tan(A+B)=\frac{264}{23}[/tex]
I need help please you haft to use elimination to solve thanks
Answers
-3x+7y=-3
when using elimination you need to multiply or divide one equation to be able to “eliminate” a variable.
-7x+14y=-14
-2(-3x+7y=-13)
multiply the second equation by -2
-7x+14y=-14
6x-14y=6
simplify
-1x=-8
divide by -1 on both sides to isolate the x
x=8
now you can plug in 8 for x in one of the equations.
-3(8)+7y=-3
simplify
-24+7y=-3
add -24 to both sides the isolate the constant and variable
7y=21
now divide by 7 on both sides to isolate y
y=3
this system of equation had one solution at (8, 3)
i hope this helps :)
what is the theorem related to this triangle!!!! plss hurry up!!!!!
Answers
Answer:
Its an isosceles triangle..
Step-by-step explanation:
Assume that lines which appear tangent are tangent
Answers
Answer:
B
Step-by-step explanation:
Remark
This is a monster when you first come across it, but later on you will not be fooled.
Construction
Draw a line from E to the center of the circle. Label the center of the circle OOE and OF are both radii. They form the central angle of the ArcEFSolution
Find the value of Arc EF
The value of Arc EF = 360 - 244 = 116
The value of <FOE also = 116. (The arc and the central angle are equal.)
ΔFOE = 116 degrees See above statement
ΔFOE is isosceles Two of it's sides are radii.
The two base angles can be solved. Call each one x
2x + 116 = 180 All triangles have 180 degrees
-116 -116 Subtract 116 from both sides
2x = 64 Divide by 2
x = 32 <EFO = 32
<EFO = 90 Where the tangent meets the radius forms a 90o angle.
<EFO + GFE = 90
32 + GFE =90
GFE = 90 - 32
GFE = 58
Answer: B
Answer:
b
Step-by-step explanation:
360-244/2= 116/2=58 or b
Find the value of x.
Answers
Answer:
x = 25
Step-by-step explanation:
The top angle is the supplement of 3x - 10
180 - (3x - 10) = -3x + 190
The sum of the angles in a triangle is 180
(-3x + 190) + (25) + (x + 15) = 180
Combine like terms
-2x + 230 = 180
Subtract 230 from both sides
-2x = -50
Divide both sides by -2
x = 25
Help.
Cannot figure out fractions
Answers
Answer:
62 [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
HELP NEED HELP!
Choose the similar triangles that have a hypotenuse defined by the equation
Answers
Answer:
red
Step-by-step explanation:
Find the missing length of the right triangle.
Answers
Answer: 65
Please mark as brainlist if it’s right.
Have a great day.
2(x+3)=x-4 what's the answer pls help
Answers
Answer:
x = - 10
Step-by-step explanation:
2x + 6 = x-4
2x - x = -4 - 6
x= -10
Answer:
The value of x = -10
Step-by-step explanation:
2(x+3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
1x = -10
x = [tex]\frac{-10}{1}[/tex]
Value of x equals to -10!
5,000 is what percent of 10,000
Answers
Answer:
50%
Step-by-step explanation:
it's half
Answer:
5,000 is half of 10,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 divided by 2 = 5,000
5,000 plus 5,000 = 10,000