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.
Related Questions
Willl mark you brainlieestttt
Answers
Answer:
7/12
Step-by-step explanation:
y = 12
x = 7
y = Kx
K = y/x
K = 7/12
The large sphere has a diameter of 12 feet.
What is the volume of the shaded figure? Express the answer in terms of Pie.
A. 252Pie ft³
B. 261Pie ft³
C. 288Pie ft³
D. 324Pie ft³
Answers
Answer:
C. 288π ft³
Step-by-step explanation:
V(Sphere) = 4/3πr³
V(Sphere) = 4/3π(6)³
V(Sphere) = 4/3π(216)
V(Sphere) = 288π ft³
Please help! I'll mark it as brainliest
Answers
1) 8
2) 81
3) 5
4) 41
5) 6
6) 4
7) 19
8) 30
9) 19
10) 20
11) 7
12) 68
13) 20
14) 65
15) 6
16) 6
You need to study the satisfaction of customers of a specific restaurant. You decide to order food and talk to those customers sitting next to you. This would most closely describe which type of sampling technique
Answers
This is how the Cluster of sampling technique is best described.
Describe cluster sampling.Cluster sampling divides a population into clusters, which are more compact groupings. From these clusters, they next randomly select a sample. Cluster sampling is a probability sampling approach that is frequently used to explore large populations, especially those that are widely geographically dispersed.Large, dispersed populations should be investigated using cluster sampling. This is because interviewing each individual is expensive, time-consuming, and in some cases impossible. Building more compact, comparable representations of the population under study is made possible by cluster sampling.For instance, if you wanted to investigate the consumption of soda in a certain city, you could use area sampling to divide the city into several regions, or clusters, and then choose out specific clusters to study.Learn more about cluster sampling refer to :
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A ball was dropped from a height of 150 cm. The rebound factor of the ball is
0. 8. About how high, in centimeters, did the ball go after the third bounce?
A. 77
B. 96
C. 234
D. 293
Answers
the ball go after the third bounce is 77 centimeters when A ball was dropped from a height of 150 cm. The rebound factor of the ball is
0. 8.
In math, height is defined as the vertical distance from the top to the object's base. Occasionally, it is labeled as 'altitude'. The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry
based on the given information
A ball was dropped from a height of 150 cm.
The rebound factor of the ball is 0.8
Evaluate the ball go after the third bounce is given by
150* 0.8 ^3= 77
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Which quantity is proportional to 12/4?
Check all that are true.
48/18
36/12
35/15
2416
3/1
Answers
The quantities which are proportional to 12/4 are 36/12 and 3/1 .
What is proportional ?
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
The relationship between two quantities is constant for all values when they are proportional, which indicates that as one quantity rises, the other rises as well. An illustration would be the ratio of a circle's circumference to its diameter, which is equal to pi.
12/4 ⇒ 3/1
48/18= 24/9
= 8/3
The quantity 12/4 is not proportional to 48/18
36/12= 18/6
= 3/1
The quantity 12/4 is proportional to 36/12
35/15= 7/3
The quantity 12/4 is not proportional to 35/15
24/16= 12/8
= 6/4
= 3/2
The quantity 12/4 is not proportional to 24/16
3/1The quantity 12/4 is proportional to 3/1
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The figure was created by repeatedly reflecting triangle NMP.
A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches.
The scale factor of the dilation of segment HG is One-sixth.
Point P is the center of dilation. Line segment H G is dilated to form shorter line segment H prime G prime. The length of P G prime is 0.5
If PG' equals 0.5 units, what is PG?
2.5 units
3 units
4.5 units
6 units
Answers
The length of PG if PG' is 0.5 units is; 3 units.
What is dilation?The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)
Here, given that,
Dilation is simply defined as the shrinking or enlarging of an object by a scale factor.
Now, we are told that Line HG is dilated to form a shorter line H'G'.
We are told that the scale factor is 1/6.
Point P is the center of dilation and if PG' is 0.5 units, then we can write the relation as follows;
Length of PG'/Length of PG = 1/6
Thus;
0.5/length of PG = 1/6
Length of PG = 0.5/(1/6)
Length of PG = 4 units
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Find the output (y) of the function y= -7+5 if the input is (x) is 15
Y=
Answers
Answer: -100
Step-by-step explanation: -7(15)+5
It said x=15 so put 15 in and solve from there and that would be -100
HOPE THIS HELPS ANY I JUST completed FUNCTIONS AND MAN IT WAS FUN
PLEASE HELP
The numbers to choose from are 27, 333, 117, 207, 297, and 153.
BARINLIST ANSWER ;))))
Answers
Answer:
This might not be right but...
Step-by-step explanation:
jk: 27
nj: 153
jl: 117
knm: 333
mjl: 207
jlk: 297
Im Sorry if its wrong
Obtain the length of a ladder leaning against a wall 4.33 m high and forming an angle of 60 ° with respect to the floor of the
Answers
sin60 = 4.33/x
x = 5.0
y=1/4x+3 in standard form
Answers
Answer:
Step-by-step explanation:
2
0.39+0.11= adding decimals
Answers
How do you match a logarithmic function with its graph?
Answers
Matching a logarithmic function with its graph can be done by understanding the key characteristics of logarithmic functions and how they are represented on a graph.
A logarithmic function is of the form y = log base b (x), where b is the base of the logarithm (usually 10 or e).
The graph of a logarithmic function is a reflection of the exponential function of the same base b, across the line y=x.
Here are some key characteristics of logarithmic functions and their corresponding graphs:
1) Asymptote: The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.
2) Domain: The domain of a logarithmic function is x>0, since the logarithm of a negative number is undefined.
3)Range: The range of a logarithmic function is all real numbers
4) Increasing or decreasing: A logarithmic function is increasing over its domain
5) Shape: The graph of a logarithmic function is concave down.
6) x-intercept: The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.
By keeping these characteristics in mind, you can match a logarithmic function with its graph by observing the shape, asymptote, domain and range of the graph.
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Select the correct answer from each drop-down menu. the function has been transformed, resulting in function h. to create function h, function f was translated 2 units , translated 4 units , and reflected across the _______.
Answers
Across the y-axis, translated 2 units to the right and four units to the left, the new function is now h(x) = -(x + 2)3 - 4
Step (i): The type of transformation change of the function
a) The translated left "c" units are x - c;
b) The translated right "c" units are x + c
Step (ii) The given function is translated "2" units right side, then the new function is
h(x) = (x + 2 )3followed by the translated "4" units left sides and reflected across the y-axis.
Now the new function is h(x).
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help. pls.
-photo attached !
Find the measures of the numbered angles.
(the angles i need to find)
<1 _?
<2 _?
<3 _?
<4 _?
<5 _?
<6 _?
<7 _?
<8 _?
Answers
Answer:
<1=75°[corresponding angles are equal]
<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]
<3=<2=105°[Vertically opposite angles are equal]
<4=75°[Alternate angles are equal]
<6=<2=105°[Corresponding angles are equal]
<7=<6=105°[Vertically opposite angles are equal]
<8=75°[Vertically opposite angles are equal]
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What is the degree measure of ∠M?
Answers
Answer:
<M=32 degrees
Step-by-step explanation:
triangle equals 180 degrees total
76+72=148
180-148= 32
<M= 32
It took Xander 31 minutes to run a 5-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minutes did it take Xander to run 1 mile during the race
Answers
So it took Xander approximately 9.96 minutes to run 1 mile during the race.
To convert the distance of the race from kilometers to miles, you can use the conversion factor 1 kilometer = 0.621 miles.
To find the time it took Xander to run 1 mile, you can divide the total time it took him to run the entire race by the number of miles he ran.
First, convert the distance of the race from 5 kilometers to miles:
5 kilometers * 0.621 miles/kilometer = 3.105 miles
Then, divide the total time it took Xander to run the race by the number of miles he ran:
31 minutes / 3.105 miles = 9.96 minutes/mile
So it took Xander approximately 9.96 minutes to run 1 mile during the race.
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In AJLP. m/JMP = (3x −6)°, JK = 3y-2, and LK = 5y-8. Find LK if PK is a median.
LK=
Answers
On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28
what are angles?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.
here
angle JMP = 3x-6 - 90
3x = 84
x = 28
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For what values of x and y must each figure be a parallelogram?
Need help please, and explanation.
Answers
9514 1404 393
Answer:
x = 2
y = 9
Step-by-step explanation:
Opposite sides of a parallelogram are the same length. This relation is used to make equations with the given side lengths.
Top and Bottom
4x +20 = x +26
3x = 6 . . . . . . . . . . . subtract x+20 from both sides
x = 2 . . . . . . . . . divide by 3
Left and Right
7y = 6y + 9
y = 9 . . . . . . . . . subtract 6y from both sides
A hotel is offering two weekend specials. The first special is 3 nights and 4 meals for $233. The second
special is 3 nights and 3 meals for $226.50.
Part A: Write a system of equations to represent cost per night x and cost per meal y.
Part B: What is the cost per night and the cost per meal?
Answers
Answer: Part A:
To represent the cost per night x and cost per meal y in a system of equations, we can use the information provided in the question:
First Special:
3x + 4y = 233
Second Special:
3x + 3y = 226.50
Where x is the cost per night and y is the cost per meal.
Part B:
To find the cost per night and the cost per meal, we can use the information provided in the question and system of equations.
We can solve this system of equations using several methods: substitution or elimination method.
One common method to find the solution is by substitution method, where we find the value of x in terms of y from one of the equations and then substitute it into the other equation to solve for y.
x = (233 - 4y)/3
then substitute it into the other equation:
3(233 - 4y) + 3y = 226.50
now solve for y:
699 - 12y + 3y = 226.50
-9y = -472.50
y = 52.50
and we can substitute it back into the first equation:
3x + 4(52.50) = 233
3x = 80.50
x = 26.83
So the cost per night is $26.83 and the cost per meal is $52.50
Step-by-step explanation:
PLZ HELP I NEED THIS DONE TO PASS
Answers
Answer:
F, T, T, F
Step-by-step explanation:
1) F because the die is labeled 1 through 8. Because 1 through 3 are included within the die, it is possible to roll a number less than 4.
2) T because the die is from 1 to 8, meaning 5 through 8 - number 4 and greater - are able to be rolled. Rolling a 4, 5, 6, 7, or 8, has a probability of 5/8 chance of being rolled, making it a likely roll (as 5/8 is over a 50% chance).
3) T as numbers are always either even or odd, meaning it is impossible not to roll an even or odd number. In other words, it is certain to roll an even or odd number.
4) F as it is extremely likely to roll a number less than 7 with a whopping 6/8 chance of being rolled. What would be unlikely is rolling a number greater than 7.
What is the coefficient of 5x² in 5x² 5x?
Answers
The coefficient of expression 5x^2 in 5x^2 5x is 5.
The coefficient of 5x^2 in 5x^2 5x is the number that is multiplied with 5x^2. In this expression, the number multiplied with 5x^2 is 5, so the coefficient of 5x^2 is 5.
The expanded expression is 5x^2 5x = 5x^3 + 5x^2. The coefficient of 5x^2 in this expression is still 5.
The coefficient of 5x^2 in 5x^2 5x is the number that is multiplied with 5x^2. When we expand the expression 5x^2 5x, it becomes 5x^3 + 5x^2. The number that is multiplied with 5x^2 in this expression is still 5, so the coefficient of 5x^2 is 5.
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what part of 3$ is the sum of 7 dimes, 1 nickel and 3 pennies?
Answers
Answer:
7/60
Step-by-step explanation:
First, we would need to add up all of the coins and know their values.
1 dime (d) = 10¢
1 nickel (n) = 5¢
1 penny (p) = 1¢
An equation we can use will look something like this:
(d × 7) + (n × 1) + (p × 3) =?
Now just add the numbers and solve.
(10 × 7) + (5 × 1) + (1 × 3) = 78
Therefore, the total amount is 78¢.
Now to figure out how much 78¢ is out of $3, we can use an equation that looks something like this:
3 ÷ 0.78 = 3.84615385 or 7/60
So, this means that with 7 dimes, 1 nickel and 3 pennies it is 7/60 of $3.
Ella stacks two boards under a table to make it level. One board is inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
the two boards?
Answers
"Thickness of two boards = Thickness of first board + Thickness of second board" would be the closely estimated equation.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.
Define quadratic equation.x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
The thickness of the two boards together can be represented by the sum of the thickness of each individual board. Therefore, the equation that most closely estimates the thickness of the two boards stacked together is:
Thickness of two boards = Thickness of first board + Thickness of second board
So in this case, the equation would be:
Thickness of two boards = inch + inch
This equation gives the total thickness of two boards stacked together and it's the closest estimation.
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What’s is
2^x=1/32•x=
Answers
Answer:
I believe it would be x=-5
Step-by-step explanation:
..
When merida divides her age by 3 and adds 5, the result is 9 which equation represents this situation where m is meridas age?
a/ 9= (m ~ 3) x 5
b/ m= (9 - 3 ) + 5
c/ m = (9~3) +5
d/ 9= (m~ 3) +5
Answers
Answer:
d which implies m/3 + 5 = 9
To get to the different parts of the race course you need to use local transport. One bus company offers a 10 trip ticket, with each trip costing £6.74. How much will the 10 trip ticket cost?
Answers
Answer: 10 trip ticket will cost £67. 4.
Step-by-step explanation:
Each (1)trip of One bus company costs= £6.74.
10 trip ticket will cost = £6.74 x 10 = £67. 4.
Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.
Answers
Answer:
yes, the board is long enough
Step-by-step explanation:
5.5 in x 4 walls = 22 inches
The board is 24.5 in, so there is enough.
24.5 > 22, there is an extra 2.5 in left over.
If 8 times a number is decreased by 2, the result is less than 15. What is the number?
Answers
Answer:
2
Step-by-step explanation:
1
8x1 = 8
8-2=6
2
8x2=16
16-2=14
At 10:00 a.m. two planes leave an airport. if the northbound plane flies at 280 mph and the southbound at 320 mph, at what time will they be 1,000 miles apart? which equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart?
Answers
280t + 320t = 1,000 is distance equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart.
What does distance mean in a nutshell?
Distance is the overall movement of an object without consideration of direction.
Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has traveled.
At 10:00 a.m. two planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320 mph
Let 't' be the time taken when they are 1000 miles apart
the northbound plane flies at 280 mph
Distance = speed * time
distance covered by northbound plane D1= 280 * t= 280t
the southbound at 320 mph
distance covered by southbound plane D2=320 t
Distance is 1000 miles apart
D1 + D2= 1000
280t + 320t = 1,000
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