Answer:
k = (-55) / 8
k = (-3005) / 8
k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510((-255 + sqrt(65025 - 510(0.309016^2))) / 2)^2)) / 2)^2)) / 2
k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510((-255 + sqrt(65025 - 1469.59)))))^2)) / 2)
To find the acute angle between two vectors, we can use the dot product formula:
angle = arccos((a * b) / (||a|| * ||b||))
where a and b are the vectors, * is the dot product, and ||a|| and ||b|| are the magnitudes of the vectors a and b, respectively.
In this case, the dot product of a and b is (i - kj) * (i + j) = i^2 - kj * i + kj * i + kj^2 = 2i - k^2j
The magnitudes of the vectors a and b are ||a|| = sqrt(i^2 + (-kj)^2) = sqrt(1 + k^2) and ||b|| = sqrt(i^2 + j^2) = sqrt(2).
Substituting these values into the formula above, we get:
angle = arccos((2i - k^2j) / (sqrt(1 + k^2) * sqrt(2)))
Since the angle is given to be 60 degrees, we can set this equal to 60 degrees and solve for k:
60 = arccos((2i - k^2j) / (sqrt(1 + k^2) * sqrt(2)))
We can use the inverse cosine function to solve for k:
k = sqrt(1 / (cos(60)^2 - (2i / sqrt(1 + k^2) * sqrt(2))^2))
Since cos(60) = 0.5, we can substitute this value in and solve for k:
k = sqrt(1 / (0.5^2 - (2i / sqrt(1 + k^2) * sqrt(2))^2))
k = sqrt(1 / (0.25 - (2i / sqrt(1 + k^2) * sqrt(2))^2))
k = sqrt(1 / (0.25 - (4i^2 / (1 + k^2) * 2)^2))
k = sqrt(1 / (0.25 - (16 / (1 + k^2))^2))
k = sqrt(1 / (0.25 - 256 / (1 + k^2)^2))
k = sqrt((1 + k^2)^2 / (256 - (1 + k^2)^2))
k = sqrt((1 + k^4) / (256 - 1 - 2k^2 - k^4))
k = sqrt((k^4 + 1) / (255 - 2k^2))
We can then solve for the roots of this equation to find the possible values of k:
k = sqrt((k^4 + 1) / (255 - 2k^2))
k^4 - (255 - 2k^2)k^2 + 1 = 0
This is a quartic equation and can be solved using the quartic formula:
k = sqrt((-b +- sqrt(b^2 - 4ac)) / 2a)
where a, b, and c are the coefficients of the polynomial. In this case, a = 1, b = -(255 - 2k^2), and c = 1.
Substituting these values into the quartic formula, we get:
k = sqrt((-(-(255 - 2k^2)) +- sqrt((-(255 - 2k^2))^2 - 4 * 1 * 1)) / 2 * 1)
k = sqrt((255 - 2k^2 +- sqrt((255 - 2k^2)^2 - 4)) / 2)
k = sqrt((255 - 2k^2 +- sqrt(255^2 - 510k^2 + 4k^4)) / 2)
k = sqrt((255 - 2k^2 +- sqrt(255^2 - 510k^2)) / 2)
k = sqrt((255 - 2k^2 +- sqrt(65025 - 510k^2)) / 2)
Solving for the roots of this equation gives us the possible values of k:
k = (-255 + sqrt(65025 - 510k^2)) / 2
k = (-255 - sqrt(65025 - 510k^2)) / 2
The first equation gives us one possible value of k:
k = (-255 + sqrt(65025 - 510k^2)) / 2
Substituting k = (-255 + sqrt(65025 - 510k^2)) / 2 into the second equation gives us the second possible value of k:
k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510k^2)) / 2)^2)) / 2
Simplifying this expression gives us the final possible value of k:
k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510((-255 + sqrt(65025 - 510k^2)) / 2)^2)) / 2)^2)) / 2
Therefore, the possible values of k are:
k = (-255 + sqrt(65025 - 510k^2)) / 2
k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510k^2)) / 2)^2)) / 2
solve for k in each
To solve for k in the first equation, we can isolate k by moving everything else to the right side of the equation:
k = (-255 + sqrt(65025 - 510k^2)) / 2
2k = -255 + sqrt(65025 - 510k^2)
2k + 255 = sqrt(65025 - 510k^2)
(2k + 255)^2 = 65025 - 510k^2
4k^2 + 1020k + 65025 = 65025 - 510k^2
4k^2 + 1530k + 65025 = 0
This is a quadratic equation, and we can use the quadratic formula to solve for k:
k = (-b +- sqrt(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the polynomial. In this case, a = 4, b = 1530, and c = 65025.
Substituting these values into the quadratic formula gives us:
k = (-1530 +- sqrt(1530^2 - 4 * 4 * 65025)) / 2 * 4
k = (-1530 +- sqrt(3080400 - 2601000)) / 8
k = (-1530 +- sqrt(477900)) / 8
k = (-1530 +- sqrt(222725)) / 8
k = (-1530 + 1475) / 8
k = (-55) / 8
k = (-1530 - 1475) / 8
k = (-3005) / 8
Therefore, the solutions to the first equation are:
k = (-55) / 8
k = (-3005) / 8
a segmented bar chart was created showing the lunch preference by grade. what percent would the bar for 11th graders show for preferring hotdogs?
If the 11th graders prefer hotdogs at a rate of 70%, the bar for 11th graders would show 70% percentage.
A segmented bar chart is a graphical representation of data that is divided into different segments. It is typically used to compare different categories of data. In this case, the bar chart is used to compare the lunch preference of different grades. The bar for 11th graders would show the percentage of 11th graders who prefer hotdogs. If 70% percentage of 11th graders prefer hotdogs, then the bar for 11th graders would show 70%. The bar chart can also show the percentage of 11th graders who prefer other lunch options, such as sandwiches, salads, etc. This information can help school administrators to better understand the lunch preferences of their students and make informed decisions about what types of food to serve for school lunch.
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Clayton and Iri purchae admiion to a carnival plu a number of game ticket. Clayton purchaed 10 game ticket and pend $19. 50. Iri purchae 15 game ticket and pend $23. 25. Determine tye cot per game ticket
The combined cost per game ticket is $1.71
In this question we have been given Clayton and Iris purchase admission to a carnival plus a number of game tickets. Clayton purchased 10 game tickets and spend $19. 50.
Iris purchase 15 game tickets and spend $23. 25
We need to determine cost per game ticket.
The total cost of Clayton's game tickets is $19.50 for 10 tickets,
So, by unitary method the cost per ticket is:
= 19.5/10
= $1.95 per ticket.
The total cost of Iri's game tickets is $23.25 for 15 tickets
So, by unitary method the cost per ticket is:
= 23.25/15
= $1.55 per ticket.
The combined cost of all the game tickets is $19.50 + $23.25 = $42.75.
The total number of game tickets purchased is 10 tickets + 15 tickets = 25 tickets.
The combined cost per game ticket would be,
= 42.75 / 25
= $1.71 per ticket.
Therefore, the cost per game ticket = $1.71
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2. A computer technician charges
$75 for a consultation plus $35
per hour
Answer: y = 35x + 75
Step-by-step explanation:
Let x be the number of hours and y is the total cost
We will have the equation
y = 35x + 75
The cable company has yearly projections for an increase in the cost of cable a customer must pay. The monthly increase is represented by x^2-16x+64=0x2
−16x+64=0, where x is the amount of increase in dollars per month. What will be the monthly increase for all of the cable customers?
The amount of monthly increase will be 8$
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.
Solution:
Given Equation is x² - 16x + 64 = 0
Using the formula method we will first find the discriminant
D = b² - 4ac
D = 256 - 256 = 0
x = -b +- √D / 2a
x = 16/2 = 8
x = 8
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[tex]\frac{x}{y}x12[/tex]
Answer:
[tex] \frac{x {}^{13} }{y} [/tex]
Step-by-step explanation:
[tex]1. \: \frac{xx {}^{12} }{y} \\ 2. \: \frac{x {}^{13} }{y} [/tex]
12 workers can do a piece of work in 30 days.find how many workers should be added to finish the work in 24 days.
The number of more workers required that the work will finish in 24 days will be equal to 3 workers.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
12 workers can finish the work in 30 days.
Let the number of more men be x that the work will be finished in 24 days.
Use the man-days concept.
M₁ D₁ = M₂D₂
Here, M₁ and M₂ are the numbers of men, and D₁ and D₂ are the numbers of days.
12 × 30 = x × 24
x = (12 × 30)/24
x = 15
So, the number of extra men is,
15 - 12 = 3 workers.
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What are the coordanites of point q
Answer:
( 1 , –3)
Step-by-step explanation:
i hope this answer helped
Each nack cot $0. 75 , and the amount wa charged to Dave’ account. What amount hould be on Dave’ account for nack lat month?
If Dave bought 5 packs of snacks, then the amount on Dave's account for snack last month should be $3.75.
Dave purchased 5 packs of snacks last month and the cost of each pack was $0.75. The total cost of the snacks was charged to Dave's account, so his account balance should reflect the total cost of the snacks. In this case, Dave purchased 5 packs of snacks, so the total cost would be $3.75 ($0.75 x 5). Therefore, Dave's account balance should show $3.75 for the snack purchases last month. This amount is the sum of the individual cost of each snack pack, multiplied by the number of packs Dave purchased. In this case, the amount on Dave's account for snack last month should be $3.75.
5 packs of snacks x $0.75 = $3.75
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A bag of cat food has 16 1/2 cups of food. Cupcake (the cat) eats 1 1/2 cups a day. How many days will the bag of cat food last?
Answer:
Step-by-step explanation:
11
Davontae is attending a local festival downtown. He plans to park his car in a parking garage that operates from 7:00 a.m. to 7:00 p.m. and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking (for example, 2 hours 15 minutes would be charged as 3 hours). When creating a linear graph that represents the relationship between the price and number of hours parked, what would be an appropriate domain and range for the given situation?
The domain and range is calculated to be
domain { x | 0 ≤ x ≤ 12 }
range (3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }
How to find an appropriate domain and range for the given situationThe situation described has the following information deduced form the problem
a parking garage that operates from 7:00 a.m. to 7:00 p.m.
from 7:00 a.m. to 7:00 p.m = 12 hours
hence form 0 to 12 is the domain
and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking
this means that the y intercept is 3 and the slope is 2, hence the equation of the line is
y = 2x + 3
The range is calculated as follows, since 11.59 is counted as 12 we take 11
at x = 0, y = 2 * 0 + 3 = 3
at x = 11, y = 2 * 11 + 3 = 25
the range is calculated to be 3 to 25
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Miguel rode his bike to work which was 15 miles from home. However he was too tired to ride back so he got a ride in a car from a co-worker. He spent a total of 2 hours traveling. The average speed of traveling by car was 3 times faster than on his bike. What was Miguel’s average speed on his bike and in the car?
Answer:
2hrs(3x faster) :
6hrs = 15 miles
2.5 miles per hour - bike2hrs = 15 miles
7.5 miles/hr = carStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-20 inch (diameter) bicycle wheel is spinning at a rate of 150 rpm. how fast is the bicycle moving (in mph)?
The bicycle is moving at a speed of 14,356 meters per hour.
Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.
The diameter of the wheel is 20 inches
⇒ radius = 10 inches
⇒ circumference of the wheel = 2 × π × 10
= 20π
Thus, the wheel will cover a distance of (20π × 150) inches in a minute
= 300π
now, we know that 1 inch = 0.254 meters
⇒ 300π inches = 300π × 0.254
= 76.2π
Thus, the bicycle covers 76.2π meters in a minute
⇒ it'll cover 76.2π × 60 meters in an hour
= 4572π
= 4572 × 3.14
= 14,356.08
Thus, the bicycle is moving at a speed of 14,356 meters per hour.
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Marc wrote down a 5 digit number on a piece of paper. The number when rounded off to the nearest thousand was 12 000. What was the greatest possible number that he wrote?
Answer:
12499
Step-by-step explanation:
because if it would be 12500 it would round up to 13000.
A box contain 5orange ball, 4yellow and1 greenballa ball i picked out of the box random find the probability that i green, orange, l
Using the formula for the combination and with the And rule of probability, The answer is 20.
What do you mean by probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
What is combination and it's formula?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
It's formula is:
[tex]C(n,r) = \frac{n!}{r!*(n-r)!}[/tex]
orange balls = 5
yellow balls = 4
green balls = 1
probability = C(5,1)*C(4,1)*C(1,1)
=5*4*1
=20.
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if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.
Answer:
false
Step-by-step explanation:
Call the persons 1 through 7.
1,2
1,3
1,4
1,5
1,6
1,7
2,3
2,4
2,5
2,6
2,7
3,4
3,5
3,6
3,7
4,5
4,6
4,7
5,6
5,7
6,7
There are 21 handshakes.
1 handshaking 2 is the same as 2 handshaking 1.
6 × 7/2 = 21
Answer: false
A cylindrical container has radius 1 m.
The cylinder contains 628 litres of water.
Calculate depth of water in the cylinder giving your answer in cm
take pi to be 3.14
Answer:
0.2 m
Step-by-step explanation:
You want to know the height of a cylinder with 1 m radius and a volume of 628 liters.
VolumeThe formula for the volume of a cylinder is ...
V = πr²h
Using the given values, we have ...
0.628 m³ = 3.14(1 m)²h
0.2 m = h . . . . . . . . . divide by 3.14 m²
The depth of the water in the cylinder is 0.2 m.
-3(2x - 4) = 18 help pleaseee
Answer:
x=−1Step-by-step explanation:
Steps for Solving Linear Equation
−3(2x−4)=18
Divide both sides by −3.
2x−4=
−3
18
Divide 18 by −3 to get −6.
2x−4=−6
Add 4 to both sides.
2x=−6+4
Add −6 and 4 to get −2.
2x=−2
Divide both sides by 2.
x=
2
−2
Divide −2 by 2 to get −1.
x=−1
Answer:
x= -1
Step-by-step explanation:
-3x (2x-4) 18
Distribute
-6x + 12 = 18
Subtract
-6x + 12-12 = 18 - 12
Simplify
-6x = 6
Divide
-6x/-6 = 6/-6
Simplify
x= -1
for how many values of xx in the closed interval [1,11][1,11] does the instantaneous rate of change of ff at xx equal the average rate of change of ff over that interval?
The average rate of change of a function is said to be a measure of how much the function changed per unit The average rate of change is -100/11
The average rate of change of a function is said to be a measure of how much the function changed per unit, on average, over that interval. It is also said to be derived from the slope of the straight line connecting the interval's endpoints on the function's graph
f(x) over an interval [x1,x2] is given by:
average rate of change = change in y/change in x
= f(x2) − f(x1) / x2−x1
With f(x) = 1/x over [1, 11]
average rate of change = f(11) − f(1) / 11−1
average rate of change = (1/11 − 1) / 10
average rate of change = (−10/11 / 10
average rate of change = −100/11
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lana elf measured the width of 9 xmas presents the total width of all the presents was 135 inches if the presents were the same width ow wide was each present if all presents had different widths what is one possiility for the widths of 9 presents
15 inches is the width of each present.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Lana elf measured the width of 9 Christmas presents.
The total width of all the presents was 135 inches.
If the presents were all the same width then we need to find the width of each present.
w=width.
As given, 9w=135
Divide both sides by 9
w=135/9
w=15
Hence, 15 inches is the width of each present.
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Five batch jobs, a through e, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6 and 12 minutes, respectively. Their (externally defined) priorities are 6, 3,.
A to E have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Average turnaround time for a quantum of one minute and four minutes is calculated to be 32.2 minutes and 97.4 minutes respectively.
Turnaround time (TAT) is the period of time between when a process is submitted and when it is finished. It can alternatively be viewed as the total of the times spent waiting to execute on the CPU, waiting in the ready queue or memory, and waiting to execute input or output. An essential parameter for assessing an operating system's scheduling algorithms is turnaround time.
a) For each process the turnaround time is
A= 45 minutes b= 35 minutes
C= 13 minutes D= 26 minutes
E= 42 minutes
The average time will be
[tex]\frac{45+35+13+26+42}{5} = 32.2 minutes[/tex]
b) For a quantum of 4 minutes
[tex]\frac{19+31+39+42}{5} = 97.4 minutes\\[/tex]
c) The average turnaround time can be calculated to be
[tex]\frac{9+21+36+39+45}{5} = 30 minutes[/tex]
d)The average turnaround time is
[tex]\frac{15+24+27+33+45}{5} = 28.8 minutes[/tex]
e) The average turnaround time is
[tex]\frac{3+9+18+30+45}{5} = 21 minutes[/tex]
Complete question:
Five batch jobs, A through E, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. For each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. Ignore process switching overhead. Explain how you arrived at your answers. In the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound.
a) Round Robin with a quantum of one minute b) Round Robin with a quantum of 4 minutes c) Planning for Priority d) FCFS (running in order 15, 9, 3, 6 and 12) e) Shortest Process Next (SPN)
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11 If a₁ = 6 and an = 3 + 2(an-1)², then a2 equals
A 147
B 180
C 75
D 900
घ
The value of the sequence a2 is (c) 75
How to determine the sequence a2From the question, we have the following sequence that can be used in our computation:
a₁ = 6 and an = 3 + 2(an-1)²
Substitute 2 for n in the equation an = 3 + 2(an-1)²
So, we have the following representation
a2 = 3 + 2(a2-1)²
This gives
a2 = 3 + 2(a1)²
Substitute a₁ = 6 in a2 = 3 + 2(a1)²
a2 = 3 + 2(6)²
Evaluate
a2 = 75
Hence, the value of a2 is 75
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Divide the rational expressions. Write your answer in its fully
factored form. Look at picture
Answer:
4m(m+7m) 8(2m+1)
________. x. ______
8(3m+2). 4m(5m-1)
(m+7m). (2m+1)
________. x. ______
(3m+2). (5m-1)
2m2 + 1m + 14m2 + 7m
__________________
15m2 -3m + 10m -2
16m2 + 8m
_________
15m2 + 7m - 2
8m (2m + 1)
__________
(5m - 1) (3m + 2)
the extent to which a reesearcher's sample is representative of the population that it was drawn from is called
The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.
Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.
Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.
Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.
In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.
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find the area of the sector of a circle with radius 6 miles formed by a central angle of 2.8 radians:
The area of the sector of a circle is 28π square miles
The area of a sector of a circle is equal to the area of the circle multiplied by the ratio of the central angle to the full circumference. Therefore, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to the area of the circle multiplied by the ratio of 2.8 radians to 2π radians (or the circumference of the circle). This means that the area of the sector is equal to 6^2π * 2.8/2π = 28π square miles. In other words, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles. To visualize this, imagine a pizza slice with a radius of 6 miles. The area of the pizza slice is equal to 28π square miles. The area of the sector is the same as the area of the pizza slice. Therefore, the area of the sector of a circle with radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles.
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if the sides of a square are increasing at a rate of 3 in/sec, at what rate is the area increasing when the edges are 10 in?
Answer:
Below
Step-by-step explanation:
Square area = s^2
ds/dt = 3
Area = s^2 Find the derivative with respect to t of both sides
area/dt = 2s ds/dt
= 2 (10)(3) = 60 in^2 per sec
sketch the vector field f by drawing a diagram like this figure. f(x, y) = yi − xj x2 + y2
The length vector is 1. So the sketch vector field f is given below. So the option a is correct.
In the given question, the vector field F by drawing a diagram like this figure.
The given vector field F is:
F(x, y) = (yi + xj)/√(x^2 + y^2)
We can write the vector field as:
F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)
Here
F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2
F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)
F(x, y) = (y^2+ x^2)/(x^2 + y^2)
F(x, y) = 1
F(0, y) = y/|y| = ±1
F(x, 0) = x/|x| = ±1
So the length vector is 1.
So the sketch vector field f is given below:
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The complete question is:
Sketch the vector field F by drawing a diagram like this figure.
F(x, y) = (yi + xj)/√(x^2 + y^2)
Identify the pair of angles shown
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles
Help!!!
(Picture)
Answer:
D. Corresponding Angles
Step-by-step explanation:
This is becasue they're both the same angle on the same side
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C=
Answer:9.9
Step-by-step explanation:
We know that pythagorean Theorem is a^2+b^2=c^2
Using this, and A & B we can plug them in
We get 49+49=c^2
98=c^2
we can square root both sides to get
sqrt98=c^2
or 9.9(rounded to the nearest 10th)
Answer:
c = 9.9 to the nearest tenth
Step-by-step explanation:
Pythagoras theorem = c² = a² + b²
a= 7, b = 7, c =?
c² = 7² + 7²
c² = 49 + 49
c² = 98
c =√98
c = 9.8995
Answer to the nearest tenth
c = 9.9
HELP PLEASE!!!!!!!!!!
Answer:
Step-by-step explanation:
In order to answer this question, we need to know what PEMDAS stands for.
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
Now using this order, we can solve.
There isn't any parenthesis.
There is an exponent, [tex]5^{3}[/tex].
Let's solve this.
5 × 5 × 5 = 125
Our equation now looks like this:
125 + 28 ÷ 7 - 1
There isn't any multiplication for us to solve.
There is division.
28 ÷ 7 = 4
Now our equation looks like this:
125 + 4 - 1
Now it's time for addition.
125 + 4 = 129
Now our equation looks like this:
129 - 1
Now all we need to do is subtraction.
129 - 1 = 128
The final answer is 128.
A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provided.
Input 1 2 3 4 n
Output -7 -9 -11 -13
Answer:
Step-by-step explanation:
Input: 1, 2, 3, 4, 5
Output: -7, -9, -11, -13
To get the output you'd add -2 each time. -7+(-2) is -9. -9+(-2)=-11. -11+(-2)=-13. And because it keeps on increasing like this the n should be 5. Because the output keeps increasing by the same value the input should too. It's increasing by 1.
( not sure if this is what you wanted us to answer)
Answer:
When the input is n then the output is - 5 - 2n---------------------------
Using table, put the output values as a sequence:
-7, -9, - 11, - 13, ...We see the first term is -7 and the common difference is - 2.
The nth term would be:
t(n) = - 7 + (- 2)(n - 1) t(n) = - 7 - 2n + 2t(n) = - 5 - 2n