Based on the given task content; the first term of the series whose nth term is 3n-5/4 is -1/2.
The 12th term of the series is 7.75How to find the nth term of a series?nth term = (3n - 5) /4
Where,
n = number of termsFirst term, a = (3n - 5) / 4
substitute n = 1 into the equation= (3n - 5) / 4
= {3(1) - 5} / 4
= (3 - 5) / 4
= -2/4
= -1/2
The first term of the series whose nth term is 3n-5/4 is -1/2
When n = 12(3n - 5) / 4
= {3(12) - 5} / 4
= 36 - 5 / 4
= 31/4
= 7.75
Therefore, the 12th term of the series whose nth term is 3n-5/4 is 7.75
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Solve the equation.
p - 132 = 7, p = ______
Answer:
139
Step-by-step explanation:
Add 132 to both sides, so it will cancel out on the left side and you are left with only p.
[tex]p - 132 + 132 = 7 +132\\p = 139[/tex]
Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4
2.y=3x-6
To develop a table of functions for the values we have
y = x + 4
x y
0 4
1 5
2 6
3 7
the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)
y = 3x - 6
x y
0 -6
1 -3
2 0
3 3
the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)
How to find the table of valuesy = x + 4
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7
y = 0 + 4 = 4
y = 1 + 4 = 5
y = 3x - 6
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3
y = 3(0) - 6 = 0 - 6 = -6
y = 3(1) - 6 = 3 - 6 = -3
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If the right triangle BAR were rotated 90° clockwise about Point B to what location would point A be relocated
Using rotation rules, considering the 90º clockwise rotation, the coordinates of point A are given as follows:
(-2,0).
What is the rule for a 90º clockwise rotation at a point other than the origin?The origin has coordinates (0,0), hence the rule for a 90º clockwise rotation about the origin is:
(x,y) -> (y, -x).
Considering a point (xP, yP) as reference, the rule for the coordinates of the vertices after the rotation is given as follows:
(x,y) -> (y - yP, -x + xP).
For this problem, point B is the reference point, hence the reference coordinates are as follows:
xP = 2, yP = 1.
Then the rule is:
(x, y) -> (y - 1, -x + 2).
Point A is located at:
x = -2, y = -1.
After the rotation, the coordinates will be given as follows:
(x, y) -> (-1 - 1, -2 + 2) = (-2,0).
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Solve for t.
-17 < 3t-14 + 14ts -8
Answer:
Step-by-step explanation:
two cards are dealt from a deck of four red cards labeled a, b, c, d and four green cards labeled a, b, c, d. a winning pair is two of the same color or two of the same letter.
The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.
The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.
Since we are provided with four red cards and four green cards so, the total possible combination of the 8 cards will be
C(8,2) = 28
out of which 2*C(4,2)=12 are the pairs of the same color
therefore the probability of picking a pair with the same color OR same letter is
1 - (12*4)/28^2 = 0.9388
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SOLVE FOR X.
PLS HURRY
In this question we have 3 lines, where 2 parallel lines intersect the other.
Now, because the 2 lines are parallel, their corresponding angles are congruent. Therfore, we can derive the equation:
[tex]2x-43 = x+9[/tex]
First, we need to move 43 to the right side.[tex]2x = x+9+43[/tex]
Next, we add 9 and 43.[tex]2x = x+52[/tex]
Then, we move x to the left side.[tex]2x-x = 52[/tex]
Finally, we subtract the left side.
[tex]x = 52[/tex]
A boy spent 1/2 of his money for a book, and 1/3 of his money for a pen. the remaining 2.25 dollars he saved. how much money did he have originally?
Answer:
13.5
Step-by-step explanation:
I need help making sure these are the right answer thank you in advance!
Answer:
They are all incorrect except for C
Step-by-step explanation:
A. y = 4
B. y = -2x + 4
D. x = -4
(a) according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
1 hour = 60 minutes
46 hour = 46*60= 2760 minutes
in one year total number of days =365 days
in 365 days spent on project= 2760 minutes
per day spent on project = 2760/365
= 7.56minutes
Hence according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
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Is Simon’s work correct?
find the distance between A(7, 10) and B(9,-3). Write your answer as a radical and as a decimal rounded for nearest ten.
A(7,10) and B(9,-3) are separated by 13.1 units.
How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)
Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10, x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units
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9. Higher Order Thinking Explain why when dividing fractions with the
same denominator, you can find the quotient by dividing the numerators.
Support your answer with an example using one or more mixed numbers.
One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient
What is a quotient?A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.
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Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesn’t know how to translate this into an answer she and her teacher will understand. What can she do?
She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.
As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.
We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.
To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,
700 feet = (700 * 0.305) meters,
or, 700 feet = 213.5 meters.
Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.
Metric Unit System: It is the decimal measuring system, based on the meter, liter, and grams as units of length, capacity, and weight or mass, which was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and standardized in Republican France in the 1790s.To learn more about the Metric Unit System, click on the link below.
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A baker uses 1 1\2cups of flour to make 12 cupcakes. How much flour does the baker use to make 288 cupcakes?
Which graph shows a set of ordered pairs that represents a function?
First graph.
Step-by-step explanation:A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.
Write a division expression that is equivalent to 8/15 x (- 3/5)
Work out the surface area of the cylinder where the radius is 7 and the height is 12
Answer
625.52(pie)
Step-by-step explanation:
2. Is this graph a function?
This is not a function
Answer:
This graph is not a function
Step-by-step explanation:
Because it fails the Vertical line test
PLEASE HELP will give BRAINLIEST
What is the domain for the exponential function f (x) = –4log(x + 2)?
Answer:
The domain for this function is all real numbers greater than -2.
Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Carlos
can use while staying within his budget.
Answer:
57 + 5x < 65
Step-by-step explanation:
57 + 5x < 65
5x < 8
x < 1.6
What is the truth value for the following conditional statement?
p: false
q: true
~q —> ~p
OFT F
OFT T
OTT T
OFF F
Solve for value of x which makes line m and n parallel
A dieter loses a total of 24 pounds over 6 months. The dieter uses the expression -24/6 to represent the average weight loss each month. which expression is equivalent to the expression the dieter uses?
The equivalent expression to the dieter's expression which is given as -24/6 is equal to -(24/6).
What are the three fractional signs?Every fraction has three signs: one for the numerator, one for the denominator, and one for the overall fraction.
A fraction can have what kind of sign?The fraction will always be negative if one of the numerators or denominators is negative and the other is positive.
It is given that a dieter loses 24 pounds in 6 months.
The dieter represents the average monthly weight loss with the expression -24/6.
We know that,
The negative sign in numerator can be assigned to the overall fraction.
So, we can write the expression (-24)/6 as -(24/6).
Therefore, the expression that is equivalent to the expression the dieter uses is -(24/6).
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An apartment building owner charges $905 to each apartment for rent month if the building is currently renting 64 apartments how much money does the building owner collect in each month?
Answer: 57920 per month
Step-by-step explanation: 905 x 64 = 57920
What’s 4 divided by 6/5?
Answer:
10 / 3
Step-by-step explanation:
4 divided by 6/5
4 / 6 / 5
4 ÷ 6 / 5
4 × 5 / 6
20 / 6
10 / 3
The value of 4 divided by 6/5 is 10/3 .
Given,
4/ (6/5)
Here,
The whole number is divided by fraction , so the denominator of the fraction will be multiplied from the whole number and the resultant will be divided by the numerator.
So,
4 divided by 6/5
4 / 6 / 5
4 ÷ 6 / 5
4 × 5 / 6
20 / 6
10 / 3
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A
X -2
y
C
4
-1
1
−2
10. Construct an exponential equation for the data presented in the table.
y = 2 (1)x
y = 1. (2)x
y = 2.(x) ¹
y = 1. (x)²
B
0
1
D
1
2
2
4
Answer:
b
Step-by-step explanation:
put -2 on x and you will get a value of 1/4
(can use other number on table too but must got the same value of y)
example: use -1 for x and the answer must be 1/2
How many times is 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7
The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.
How can the the number of times that is required to find?T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :
( 8* 10^- 5 ) /( 2 *10 ^-7) = 400
This implies that the value of 8* 10^- 5 is larger than 2 *10 ^-7, in 400 folds.
Therefore, option C is correct.
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please solve the questions on the paper
The values of the equations that are given will be:
17. b + 9 and -b + 7
18. c - 4 and c + 4
19. a + b - c and a + b + c
20. 5 + 2b and 5 - 2b
21. 4 - h - b and -b + h - 4
22. 2 - b - 2h and b - 2
How to express the equation?Based on the information given, it should be noted that the equations will be expressed thus:
It should be noted that an equation is used to show the relationship between the variables. The equations will be:
17. |b + 1| + 8
= b + 1 + 8
= b + 9
and
|b + 1| + 8
= -b - 1 + 8
= -b + 7
18. 5 - |c + 1|
= 5 - c + 1
= - c + 4
= c - 4
and
5 - |c + 1|
5 + c - 1
= c + 4
19. |a + b|- c
= a + b - c
and
-a - b - c
Multiply through by -
= a + b + c
20. 5 + |2b|
= 5 + 2b
and
5 + |2b|
= 5 - 2b
21. |4 - h| - b
= 4 - h - b
and
-4 + h - b
= -b + h - 4
22. |2 - b - h| - h
= 2 - b - h - h
= 2 - b - 2h
and
-2 + b + h - h
= b - 2
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Two Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars) for different numbers of months at Company A. The total cost $y$ (in dollars) for $x$ months of service at Company B is represented by $y=45x+50$ . Which company charges less per month?
Company A
Months, x Total cost, y
2
3
4
5
6
$180
$220
$260
$300
$340
An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.
Given that,
An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B.
We have to find which company has monthly fees that are lower.
Company A charges =220-180=40
Company A charges $40 per month.
Company B charges $45 per month
Because the slope is 45.
Therefore, Company A charges less per month then Company B.
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What is the WHOLE NUMBER solution to this system? Write your answer as an ordered pair (x, y). If the system does not have a solution, write NONE in the answer. Sy=2x² + 16x + 24 y=-x-2
Answer: 2(2−x)(x−6)
Step-by-step explanation: