Determine whether the relation is a function. {(−3,−6),(−2,−4),(−1,−2),(0,0),(1,2),(2,4),(3,6)}

Answers

Answer 1

Answer:

Answer:

The relation is a function.

Step-by-step explanation:

In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.

Related Questions

Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places.(a) Find the probability that all 12 of the flights were on time.(b) Find the probability that exactly 10 of the flights were on time.(c) Find the probability that 10 or more of the flights were on time.(d) Would it be unusual for 11 or more of the flights to be on time?
Literal equations ….
What is the probability that the average of four babies' weights will be within .6 pounds of the mean; will be between 8.4 and 9.6 pounds
suppose Monica walks 1 kilometer every 15 minutes how many meters further can she walk in 1 hour at this new rate
During a 5-year period, 24% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.

For which product or quotient is this expression the simplest form? (image attached)! please help :((

Answers

Answer:

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2011 can be modeled byy = 269573/1+985e^-0.308t where t represents the year, with t = 5 corresponding to 1985. Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006.

Answers

Answer:

(a) 3178

(b) 14231

Step-by-step explanation:

Given

$y = (269573)/(1+985e^(-0.308t))$

Solving (a): Year = 1998

1998 means t = 8 i.e. 1998 - 1990

So:

$y = (269573)/(1+985e^(-0.308*8))$

$y = (269573)/(1+985e^(-2.464))$

$y = (269573)/(1+985*0.08509)$

$y = (269573)/(84.81365)$

$y = 3178$ --- approximated

Solving (b): Year = 2003

2003 means t = 13 i.e. 2003 - 1990

So:

$y = (269573)/(1+985e^(-0.308*13))$

$y = (269573)/(1+985e^(-4.004))$

$y = (269573)/(1+985*0.01824)$

$y = (269573)/(18.9664)$

$y = 14213$ --- approximated

Solving (c): Year = 2006

2006 means t = 16 i.e. 2006 - 1990

So:

$y = (269573)/(1+985e^(-0.308*16))$

$y = (269573)/(1+985e^(-4.928))$

$y = (269573)/(1+985*0.00724)$

$y = (269573)/(8.1314)$

$y = 33152$ --- approximated

2Illustrate the following numbers using base 10 blocks:
a) 841
b) 106
c) 3 051

Answers

Final answer:

To illustrate numbers using base 10 blocks, you need to understand the place values and represent each digit using the appropriate base 10 block.

Explanation:

To illustrate numbers using base 10 blocks, we need to understand that each number is made up of different place values—ones, tens, hundreds, and so on. A base 10 block for the number 841 would consist of 8 hundreds blocks, 4 tens blocks, and 1 ones block. For the number 106, we would have 1 hundreds block, 0 tens blocks, and 6 ones blocks. Lastly, for the number 3,051, we would have 3 thousands blocks, 0 hundreds blocks, 5 tens blocks, and 1 ones block.

Learn more about Understanding base 10 blocks and place value here:

brainly.com/question/33660109

Determine the area of a cone that its volume is 238 cubic centimeters and the height is 74 centimeters.

Answers

Answer:

1.75 cm

Step-by-step explanation:

The volume of a cone is 238 with height 74. To find the radius, substitute and solve for r.

$[tex]V= (1)/(3)\pi r^2 h\n 238= (1)/(3) \pi (r^2)(74) \n 238*3= \pi (r^2)(74)\n (714)/(74\pi) = r^2\n\sqrt{(714)/(232.36) } =r\n 1.75=r$ [/tex].

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.A) Identify the sample size and the count.
B) Calculate the sample proportion.
C) Explain the relationship between the population proportion and the sample proportion.

Answers

Answer:

Given:

n = 1003

$p' = (462)/(1003) = 0.4606$

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: $p' = (x)/(n)$

Therefore, sample proportion =

$p' = (462)/(1003) = 0.4606$

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

$p=(x)/(n)=(462)/(1003)=0.46$

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

$\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.46*0.54)/(1003)}\n\n\n \sigma_p=√(0.00025)=0.0157$