Thomas starts a canned food collection with 2 cans of food. He challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer. Responses The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the vertical line test. The graph of the sequence would pass the vertical line test. Each amount of cans corresponds to a unique day in this sequence. Each amount of cans corresponds to a unique day in this sequence. Each day corresponds to a unique amount of cans in this sequence.

Answers

Answer 1

Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.

What is function?

A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output.

Here,

We presume Thomas only invited one buddy to participate.

The pattern for days and cans can be seen as follows:

Thomas has two cans on the first day, i.e. cans.

Thomas has four cans on the second day, i.e. cans.

Thomas has 8 cans on the third day, i.e. cans.

Thomas has 16 cans on the fourth day, i.e. cans.

This trend continues until day ten.

So, on x day, Thomas has cans, and x varies from 1 to 10.

As a result, the relevant function is.

This means that for each day (x), there is a distinct value for the number of cans:

The 'Vertical Line Test,' on the other hand, is a test in which we draw a vertical line through the graph and if it cuts the graph at exactly one place, then the graphed curve is a function.

As shown in the graph below, the vertical line intersects f(x) at precisely one location. As a result, f(x) is a function.

As a result, the sequence graph passes the vertical line test.

Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.

To know more about function,

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Related Questions

If x=9 in what is the surface area of the geometric shape formed by this net?

Answers

Answer:

1134 in²

Step-by-step explanation:

Surface area is:

x²*2 + 3x*x*4 = 14x²

Substitute x:

14x² = 14*9² = 1134 in²

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.

Required:
a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
b. Who is the fastest runner with respect to his or her class? Explain why.

Answers

Answer:

Step-by-step explanation:

a.

Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.

b.

Rachel: average - 1st deviation

Kenji: average - 0.25 standard deviation

Nedda: slower than average so it's definitely not her.

Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,

So, Rachel is the faster one.

Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17

Answers

Answer:

hi!

First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer

she gives to each of her friends 90:6(friends)=15 beads for each (answer B)

hope i helped!

ig: landonorris

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Tez
Conclusions: Testing Trig Ratios
Does this ramp have an angle less than 4.8°?
Does it meet the ADA guidelines?
Triangle B
Yes
No
40
30

Answers

Answer:

ddjdjdjduduudduudppooo

A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation


1. The faucet leaks 4/5 liter per hour.

2. The faucet leaks 5/4 liter per hour.

3. The faucet leaks 2/5 liter per 1/2 hour.

4. The faucet leaks 3/8 liter per 1/2 hour

5. The faucet leaks 3/10 liter per 1/2 hour.

Answers

Answer:

A & C

Step-by-step explanation:

Please just trust me

Answer:The faucet leaks 4/5 liter per hour.

The faucet leaks 2/5 liter per 1/2 hour.

Step-by-step explanation:

Will mark brainliest!

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:




Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.

BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.

Answers

Answer:

y = 0.44 x - 0.1

Step-by-step explanation:

Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:

slope = (y2 - y1) / (x2 - x1)

slope = (12 - 1 ) / (27.5 - 2.5) = 0.44

Now we use this slope to complete the equation of the line through those points:

y = 0.44 x + b

1 = 0.44 (2.5) + b

1 = 1.1 = b

b = 1 - 1.1

b = - 0.1

Therefore, the equation of the line becomes:

y = 0.44 x - 0.1

Answer:

y = 0.44x + 0

Step-by-step explanation:

I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.

(2.5,1) and (27.5,12)

To find slope I am going to calculate change in y over change in x.

12 - 1 over 27.5 - 2.5 = 11/25 = 0.44

So far we have y = 0.44x + 0

To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"

We get that the y intercept equals 0.

y = 0.44x + 0 or just y = 0.44x

I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!

The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.

Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008[/tex]

The testing states value is:

[tex]\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250[/tex]

therefor the [tex]\rho - \ value = 0.2931[/tex]

Through out the above equation its values Doesn't rejects the H_0 value, and its  sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.

the coast of 16 pens is rupees 256. Find the cost of 13 pens.​

Answers

256 divided by 16=16 each pencil
So, 16x13=208
Answer: 208

Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^

Answers

Ashley can purchase 10 pizzas and Brian can purchase 12 so there would be nothing left on the cards

5/60=12

10/100=10

HELP ASAP PLS SHOW WORK

Answers

Answer:

42

dnndndndndndnd

dndndndndj

Selena has 3 bagels. She wants the bagels for breakfast for 5 days. If she eats the same amount of bagel each day, how much bagel should she eat each day for breakfast.

Answers

Answer:

0.6

Step-by-step explanation:

Sense she eats 3 bagels in 5 days, you would multiply 3 and 5 you would then get 15 bagels

The legend on a map states that 1 inch
is 250 miles. If you measure 3 inches
on the map, how many miles would
the actual distance be?

Answers

It would be 750 miles. 250*3=750
750 miles would be the answer of how many miles

what is the solution to 5(4x-1.5x)+12-2

Answers

Answer:

12.5x+10

Step-by-step explanation:

I'm assuming that you want to simplify this, because there is no equal sign.

If you want to simplify, first combine like terms.

First solve the first half of the equation: 20x-7.5x=12.5x

Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.

That's your answer: 12.5x+10

Answer:

x = 0.8

Step-by-step explanation:

Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.

First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.

Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.

Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is

x = 0.8

I need some help please !

Answers

Answer:

With what?

Step-by-step explanation:

4. (05.02)
Find the measure of angle x in the figure below:
(5 points)
χο
Υ
55
30'
95ο
55ο
Ο Ο Ο Ο
30ο
850

Answers

Answer:

95 degrees

Step-by-step explanation:

use a calculator

A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?

Answers

Answer:

3 hours

Step-by-step explanation:

(60km)/(20km/hr)=3

The storm would come to your house by three hours because it is going towards the house at 20 KM an hour and then it’s going to be 60 km away and then after that, you would have to divide 60 km with 20 km and then you would get 3 hours.


You're welcome:)

which is the better price?

$5.36 for 20 oz.

or $9.27 for 48 oz.

Answers

Answer:

$9.27 for 48 oz.

y = 4x - 11
4x - y = 11
Systems of equations by substitution

Answers

Answer:

............................

Answer:

No Solution

Step-by-step explanation:

Substitute y = 4x - 11 in 4x - y = 11

4x - y = 11

4x - 4x - 11 = 11

-11 = 11

There is no solution because -11 does not equal 11.


2, 3,6
Write the fact family formed by these numbers.

Answers

Answer:

‍♀️

Step-by-step explanation:

villian

Answer:

2, 3, and 6:

2 X 3 = 6,

3 X 2 = 6,

6 � 2 = 3

6 � 3 = 2.

Hope it helps

Please mark me as the brainliest

Thank you

Let me know guys pls

Answers

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/35=15/25

x=35(15)/25

x=21

Can someone please help me I don’t understand

Answers

Answer:

The ship is traveling at 25 mph

Step-by-step explanation:

12.5/0.5=25

25/1=25

37.5/1.5=25

The speed is constant (25) so the ship is moving at 25 mph

PLEASE ANSWER! I NEED HELP!! 30 POINTS TO WHO EVER ANSWERS!
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?

Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8

Answers

The answer is C

Step by step :-
here
x=3
y=4
so,
-2×3+6×4=18
or,-6+24=18


[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me​

Answers

Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.

53x8
____

1x6


Do that and ur answer

Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90

During the current month the company started and finished Job A319. The following data were recorded for this job:

Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​

Answers

Answer:

Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order

Which of the following are reasons that a sampling technique may not be scientific.

a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Answers

Answer:

b. The graphs are drawn in a way to mislead the reader.

f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Step-by-step explanation:

The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.

Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.

Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.

A sampling may not be scientific if;

The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Learn more about sampling: https://brainly.com/question/857770

Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. t2 (dy/dt) + y2 = ty

Answers

Answer:

Step-by-step explanation:

[tex]t^2 \dfrac{dy}{dt}+ y^2 = ty \\ \\ t^2 \dfrac{dy}{dt}-ty = -y^2[/tex]

[tex]\text{by dividing both sides by }{y^2},\text{ we have:}[/tex]

[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- \dfrac{ty}{y^2}= -1[/tex]

[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- t\dfrac{1}{y}= -1[/tex]

[tex]\text{by dividing both sides by }t^2; \text{we have;}[/tex]

[tex]\dfrac{1}{y^2}\dfrac{dy}{dt}- \dfrac{1}{t}\dfrac{1}{y}= -\dfrac{1}{t^2}--- (i)[/tex]

[tex]Let \ v = \dfrac{1}{y}[/tex]

[tex]\dfrac{dv}{dt}= -\dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]

[tex]-\dfrac{dv}{dt}= \dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]

[tex]\text{replace in equation (1); we have}[/tex]

[tex]- \dfrac{dv}{dt}-\dfrac{1}{t}v = -\dfrac{1}{t^2}[/tex]

[tex]- \Big ( \dfrac{dv}{dt}+ \dfrac{1}{t}v \Big) = -\dfrac{1}{t^2}[/tex]

[tex]\dfrac{dv}{dt}+\dfrac{1}{t}v = \dfrac{1}{t^2}[/tex]

[tex]\text{relating above with} \dfrac{dv}{dt}+ P(t) v = Q(t) \text{, we have:}[/tex]

[tex]P(t) = \dfrac{1}{t} \ \ \ , \ \ \ \ Q(t) = \dfrac{1}{t^2}[/tex]

[tex]\mu (t) = e^{\int P(t) \ dt }= e ^{\int \dfrac{1}{t} \ dt}= e^{In|t|}= t[/tex]

[tex]v\mu(t) = \int \mu(t) Q(t) dt + C[/tex]

[tex]vt = \int (t) (\dfrac{1}{t^2})dt + C[/tex]

[tex]vt = \int \dfrac{1}{t}dt + C[/tex]

[tex]vt = Int+C[/tex]

[tex]v = \dfrac{In \ t + C}{t}[/tex]

[tex]\text{substitute } v = \dfrac{1}{y}}, we \ get}[/tex]

[tex]\dfrac{1}{y}=\dfrac{In \ t +C}{t}[/tex]

[tex]\mathbf{y = \dfrac{t}{In \ t + C}}[/tex]

If the probability of an event is
and there are 28 total outcomes, how many favorable outcomes are there?
0 1
04
07
O 28
PLEASE ANSWER AND HURRRRRRY

Answers

Answer:

uhhh 28

Step-by-step explanation:

One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.

Answers

the answer is 40
this should be right

The two numbers are 6 and 20 respectively.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that one number is 10 less than 5 times the second number. Their sum is 26.

Let the numbers be [x] and [y] repsectively. Then, we can write that -

x + y = 26        ..... Eq[1]

x = 5y - 10        ..... Eq[2]

We can write -

x + y = 26

5y - 10 + y = 26

6y = 36

y = 6

Then, we can write [x] as -

x = 5 x 6 - 10 = 30 - 10 = 20

x = 20

Therefore, the two numbers are 6 and 20 respectively.

To solve more questions on equation modelling, visit the link below -

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 391 drivers and find that 319 claim to always buckle up.

This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]

85% confidence level

So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Pat finds that the length of a ceiling beam is 114 inches what is the length of the beam in feet.
how to work it out in a problem​

Answers

Answer:

farted farted fartedfarted

Answer

Step-by-step explanation:

Other Questions
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