Answers
Answer:
Is nonlinear because the common ratio is 3
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.
For example, if we choose the first and second points:
(0,20) and (1, 60) the slope is:
a = (60 - 20)/(1 - 0) = 40/1 = 40
a = 40
Now if we choose the first and third points:
(0, 20) and (2, 180)
The slope is:
a = (180 - 20)/(2 - 0) = (160/2) = 80
So the slopes are different, which means that this function is nonlinear.
If we look at the f(x) values for the second point onwards, we can see that:
f(2) = 60
f(3) = 60*3 = 180
f(4) = 180*3 = 540
f(5) = 540*3 = 1620
and so on.
So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.
Having a common ratio is not a property of linear functions, then the correct options is:
"Is nonlinear because the common ratio is 3"
Related Questions
Cheryl deposits $7,500 into the bank. She cannot withdraw or deposit any more money for 6 years. She earns a 6% interest during that time.
How much interest will she have earned at the end of 6 years?
2,700
What will her new balance be when she is finally able to withdraw her money?
Answers
Answer:
See explanation
Step-by-step explanation:
Since banks use compound interest, then we write;
A = P(1 +r)^n
A = amount
P = principal
r= rate
n= time period
P = $7,500
n = 6
r = 6%
Substituting values;
A = P(1 +r)^n
A = 7,500(1 + 6/100)^6
A=$ 10,639
Interest = Amount (A) - Principal(P)
Interest = $ 10,639 - $7,500
Interest = $3139
Her final account balance after six years is $10,639
HELP PLEASE CAN’T FIGURE THIS OUT NEED HELP
Answers
Answer:
LN= 68°
Step-by-step explanation:
Camden's gross pay is $2000. Camden gets pald every 2 weeks. Camden's Federal withholding is 15.6% of his gross pay, Social Security is 6.2% of his
gross pay, and Medicare is 1.45% of his gross pay. Find Camden's net pay.
Answers
Answer:
1535
Step-by-step explanation:
camdens net pay will be 1535
4x² - 12x + 8
A.Not factorable
B. factorable
Answers
Answer:
It is factorizable
Step-by-step explanation:
4(x² - 3x + 2) is the factoried version :)
Solve the following
NO BOTS!
Answers
Answer:
75/-3 = -25
Step-by-step explanation:
Numerator: -5^2 + 10^2 = 75
-5^2 = -25, since the minus sign is not in parentheses with the 5, it does not get squared so the negative is added on to five squared which is 25.
10^2 = 100,
-25 + 100 = 75
Denominator: (2 x (-5) x 3) + 3^3 = -3
2 x (-5) x 3 = -30, we can simply multiply these all together so 2 x -5 is -10, and -10 x 3 = -30
3^3 = 27, 3^3 = 3 x 3 x 3, which multiplied all together, 3 x 3 = 9, 9 x 3 = 27
-30 + 27 = -3
Total Fraction = 75/-3
Simplified = -25
Find The greatest common Factor of 7, 15, 21
Answers
Answer:
1
Step-by-step explanation:
1. List the prime factors of each number.
2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
3. Multiply all the circled numbers. The result is the GCF.
Answer:
1
Step-by-step explanation:
A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____ pounds ||→vx||= ___ pounds What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds ||→v||= ____pounds
Answers
Answer:
30 pounds + 15 pounds is 45 pounds is your total force
On July 1, 2021 Sikie Shoe Manufacturing Co. issued 45,000 common shares for cash at a Market price of $25
Answers
Answer:
$1125000
Step-by-step explanation:
45,000 x 25 = 1125000
Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.
Cassie buys a soccer ball that cost 3249 she gives the store clerk $40 how much change should she get back
Answers
Answer:
$7.51
Step-by-step explanation:
I think you meant $32.49*
$40.00
- $ 32.49
-----------------
$ 7.51
Since she's giving the clerk $40.00 for an item that only costs $32.49, you subtract $32.49 from $40.00 to get the amount of change she would get back.
Find the values of X and why. Dragon drop the answers into the box is below.
Answers
Answer:
1 3/4 1
Step-by-step explanation:
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
Required:
Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university.
Answers
Answer:
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
which statement best explains why the value of this expression is equal to -8 1/2 y?
Answers
Rewrite each if the following division problems as a multiplication problem.
a. 24/3 = 8
b. 336/8 = x
Answers
9514 1404 393
Answer:
a. 24 = 8·3
b. 336 = 8·x
Step-by-step explanation:
A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).
a/b = c ⇔ a = bc
__
a. 24/3 = 8 ⇒ 24 = 3·8
b. 336/8 = x ⇒ 336 = 8x
I need help.
The x-intercepts of the graph of a certain parabola are (0,0) and (10,0).
The axis of symmetry is x =
Answers
Answer:
the symmetry would be the opposite
Step-by-step explanation:
hope it helps
Let the function P represent the population P(d), in thousands, of a colony of insect
d days after first being measured. A model for P is P(d) = 10. (1.08)".
Answers
Answer:
(c) and (e) are true
Step-by-step explanation:
Given
[tex]P(d) = 10. (1.08)^d[/tex]
See attachment for complete question
Required
Which of the options is true
(a) 1080 insects on day 1
This implies that d = 1
So, we have:
[tex]P(1) = 10* (1.08)^1[/tex]
[tex]P(1) = 10* 1.08[/tex]
[tex]P(1) = 10.8[/tex]
(a) is incorrect because [tex]P(1) \ne 1080[/tex]
(b) 10800 insects after a week
This implies that [tex]d = 7[/tex]
So, we have:
[tex]P(7) = 10* (1.08)^7[/tex]
[tex]P(7) = 10* 1.71382426878[/tex]
[tex]P(7) = 17.14[/tex]
(b) is incorrect because [tex]P(7) \ne 10800[/tex]
(c): Growth factor per day is 1.08
An exponential factor is represented as:
[tex]y = ab^x[/tex]
Where
b is the growth factor
By comparison:
[tex]b = 1.08[/tex]
Hence, (c) option is true
(d): Growth factor per week is 1.08*7
In (c), we have:
[tex]b = 1.08[/tex] as the daily growth factor
So, the growth factor for n days is:
[tex]Factor = 1.08^n[/tex]
Substitute 7 for n i.e. 7 days
[tex]Factor = 1.08^7[/tex]
So, the growth factor for 7 days is: [tex]1.08^7[/tex] not [tex]1.08*7[/tex]
Hence, (d) option is true
(e): Growth factor per week is 1.08*7
In (c), we have:
[tex]b = 1.08[/tex] as the daily growth factor
For hourly rate, we have:
[tex]Factor = 1.08^\frac{1}{24}[/tex]
Hence, (e) option is true
Help me with this problem please
Answers
Answer:
[tex](a)\ A_1 = s^2[/tex]
[tex](b)\ A_2 = 4s^2[/tex]
(c) 4 small squares
Step-by-step explanation:
Given
Small Square:
[tex]Dimension: s[/tex]
Large Square:
[tex]Dimension: 2s[/tex] i.e. twice as long as the small square
Solving (a): The area of the small square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_1 = s^2[/tex]
Solving (b): The area of the large square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_2 = (2s)^2[/tex]
[tex]A_2 = 4s^2[/tex]
Solving (c): Number of small square to cover the large square
To do this, we simply divide their areas.
Let n represents the required number; n is calculated as:
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{4s^2}{s^2}[/tex]
[tex]n = 4[/tex]
Hence, 4 small squares is required to cover the large square
(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cumulative distribution function: F (x )equals 1 minus fraction numerator 1 over denominator (x plus 1 )cubed end fraction space x greater than 0 What is the probability the person's reaction time will be between 0.9 and 1.1 seconds
Answers
Answer:
the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Step-by-step explanation:
Given the data in the question;
the cumulative distribution function F(x) = [tex]1 - \frac{1}{(x + 1)^3}[/tex] ; [tex]x > \theta[/tex]
probability the person's reaction time will be between 0.9 and 1.1 seconds
P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )
P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)
= [ [tex]1 - \frac{1}{(x + 1)^3}[/tex] ] - [[tex]1 - \frac{1}{(x + 1)^3}[/tex] ]
we substitute
= [ [tex]1 - \frac{1}{(1.1 + 1)^3}[/tex] ] - [[tex]1 - \frac{1}{(0.9 + 1)^3}[/tex] ]
= [ [tex]1 - \frac{1}{(2.1)^3}[/tex] ] - [[tex]1 - \frac{1}{(1.9)^3}[/tex] ]
= [ [tex]1 - \frac{1}{(9.261)}[/tex] ] - [[tex]1 - \frac{1}{(6.859)}[/tex] ]
= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]
= 0.8920203 - 0.8542062
= 0.0378
Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
What is the side length, x, of this cube? ____ miles
Please help, I will mark brainlist.
Answers
explanation:
if we are given that the volume is 27,000, we know that x^3 should equal 27,000
so take the cube root of 27,000 and that is 30
Hey answer please thanks
Answers
Answer:
Volume of a cone = 18 in³
Step-by-step explanation:
diameter of cone = 3 in
radius of cone = 1.5 in (diameter/2)
height = 8 in
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 1.5 × 1.5 × 8)/3
V = 54/3
V = 18 in³
Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS
Answers
Answer:
Yes it is true
Step-by-step explanation:
cause 11 + 8 = 19
now give me the brainliest lol
Which equation has a constant of proportionality equal to
Answers
There are many equations that has a constant of
proportionality, might want to make it more specific.
Answer:
i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment
Step-by-step explanation:
If F(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f°g)(x)?
Answers
Answer:
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Step-by-step explanation:
Composite functions:
Suppose that we have two functions, f and g. Their composite is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
We have that:
[tex]f(x) = 3x + 2[/tex]
[tex]g(x) = x^2 + 1[/tex]
The composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Amanda covers the outside of a box, shown in the diagram below, with
decorative paper for a school project. The top of the box is open.
3 in
7 in.
8 in
If the paper costs $0.03 per square inch, what is Amanda's total cost?
Answers:
4.38
6.06
5.04
2.70
Answers
Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm2 and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answers
Answer:
[tex]V=60.28\ cm^3[/tex]
Step-by-step explanation:
Given that,
The area of the base = 13.2 cm²
The height of the pyramid = 13.7 cm
We need to find the volume of this pyramid. The formula can be given by :
[tex]V=\dfrac{1}{3}Bh[/tex]
Put all the values,
[tex]V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3[/tex]
So, the volume of the pyramid is equal to [tex]60.28\ cm^3[/tex].
Convert 16/100 to decimal.
Answers
Answer: 0.16
Step-by-step explanation:
i dont know
1 million =_____________ hundred thousand
Answers
Answer:
seriously,I think the answer is 10 hundred thousand
Step-by-step explanation:
10*100000=1000000
A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: A, B, C, and D. What is
the probability that you randomly guess and select the correct answer?
Give your answer as a fraction
Answers
a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of the metal prism..........
Answers
Answer:
no inglish :"<
sorry pero espero y alguien te responda bien pronto
2)Preparation of the statement of cash flows involves:
a.Computing the net increase or decrease in cash.
b.Computing and reporting net cash provided or used by operations.
c.Computing and reporting net cash provided or used by investing activities.
d.Computing and reporting net cash provided
Answers
Answer:
The Answer is gonna C.Computing and reporting net cash provided or used by investing activities.
Step-by-step explanation:
I hope I helped
Can someone help me? I’ll reward points + brainalist (btw In need help with 8, & 9)
Answers
Answer:
8. X=108.
9. X= 14.
Step-by-step explanation:
Hope it was helpful ;)