1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
motikmotik
2 years ago
11

The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent

ries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16. 5, y, 21. Which ordered pair could be the missing values represented by (x, y)? (0, 18) (5, 19. 5) (8, 20) (10, 21. 5).
Mathematics
1 answer:
zvonat [6]2 years ago
7 0

Option 3 is the correct answer. The missing values of (x, y) is (8, 20).

<h3>How do you find out the values?</h3>

Given that the function is,

y = 16 + 0.5x

The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.

Also, for every value of x, there is a corresponding value of y.

For the given options, we put the values of x to find the corresponding value of y.

For option 1, put x = 0 in the given function,

y = 16 + 0.5\times 0\\y = 16

But for x=0, y= 18, hence option 1 is not correct.

For option 2, put x = 5 in the given function,

y = 16 + 0.5\times 5\\y = 18.5

But for x=5, y= 19.5, hence option 2 is not correct.

For option 3, put x = 8 in the given function,

y = 16 + 0.5\times 8\\y = 20

But for x=8, y= 20, hence option 3 is the correct answer.

Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).

To know more about the function, follow the link given below.

brainly.com/question/5245372.

You might be interested in
A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist
Dvinal [7]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:

  • Negative slope.
  • Constant slope.
  • Decreasing function.

Step-by-step explanation:

We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.

Clearly from the graph we could that it is  a linear function.

Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.

Also, we can calculate the slope of the line.

as the line is passing through (0,500) and (100,0)

Hence, the slope of line is:

Slope=\dfrac{0-500}{100-0}\\\\Slope=\dfrac{-500}{100}\\\\Slope=-5

Hence, the graph has a negative slope.

Also, we know that a slope of a line is always constant.

So, the correct statements are:

Negative slope.

Constant slope.

Decreasing function.

5 0
3 years ago
Read 2 more answers
REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
aivan3 [116]

Answer:

It can hold up to 1.256ft^3 of waste

<em></em>

Step-by-step explanation:

Given

D = 1.5ft -- Diameter

h = 1.6ft -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

Volume = \pi r^2h

Where

\pi = 3.14

and

r = \frac{D}{2}

r = \frac{1.5}{2}

r = 0.75

So, we have:

Volume = 3.14 * 0.5^2 * 1.6

Volume = 1.256ft^3

<em>Hence, it can hold up to </em>1.256ft^3<em> of waste</em>

3 0
3 years ago
What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The
max2010maxim [7]
<h3><u>Answer</u><u>:</u><u>-</u></h3>

x=17

<h3><u>step-by</u><u>-</u><u>step</u><u> </u><u>Explanation</u><u>:</u><u>-</u></h3>

{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}

<h3 />

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Given angles

  • (6x+10°)
  • (x+17°)
  • (4x-34)°

According to sum theory

{\boxed{\sf The \:sum\:of\:angles=180°}}

  • Substitute the values

\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180

  • Remove brackets

\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180

  • Together like polynomials and constants

\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180

\qquad \quad{:}\longmapsto\tt 11x-7=180

  • Interchange sides

\qquad \quad{:}\longmapsto\tt 11x=180+7

\qquad \quad{:}\longmapsto\tt 11x=187

\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}

  • Simplify

\qquad \quad{:}\longmapsto\tt x=17

\therefore\sf The \:value\:of\:x\;is\:17.

8 0
3 years ago
Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t
hram777 [196]

Answer:

a.\mu=15

b.\mu=7.8586 \ and  \ \mu=22.1414

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

P(X=k)=C_k^n.p^k.(1-p)^{n-k}

Let n be the number of trials,n=100

and p be the probability of success,p=15\%

The mean of a binomial distribution is the probability x sample size.

\mu=np=100\times0.15=15

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as:\sigma=\sqrt npq\\q=1-p

Therefore, \sigma=\sqrt(100\times0.015\times0.85)=3.5707

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c.  x=45 is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

4 0
3 years ago
A cylinder has a radius of 20 cm and a height of 2 cm. Find the height of another cylinder that has a radius of 4 cm and the sam
iogann1982 [59]

Answer:

The height of the another cylinder 'h'  = 7

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step 1:-</u>

Surface area of the cylinder  = 2пrh + 2пr^2

Given radius of first cylinder is 20cm

given height of the first cylinder is 2 cm

The surface area of first cylinder is = 2пrh + 2пr^2

                                                          = 2п(20)(2)+2п(2)^2

                                                          = 4п(20+2)

The surface area of first cylinder is  88п

<u>Step 2</u>:

given data The surface area of first cylinder is  88п is same as second cylinder also

<u>Find the height of the second cylinder</u>

Given Radius of the second cylinder r = 4

Surface area of the cylinder  = 2пrh + 2пr^2 = 88п

                                                   2п(4)h+2п(4)^2 =88п

on simplification we get

                                   2п (4h+16) = 88п

after cancellation '2п' value and on simplification, we get

                                    4h+16 = 44

                                    4h = 44-16

                                  4h = 28

                                 h=7

Therefore the height of the another cylinder is 'h' =7

                                   

3 0
3 years ago
Other questions:
  • Ann bought 3 pairs of jeans for 195$. Find the unit rate
    14·1 answer
  • A student is trying to remember some formulas from geometry. in what follows, assume a is area, v is volume, and all other varia
    13·1 answer
  • Power is equivalent to the energy released divided by the time taken to release the energy.
    11·2 answers
  • 1×9=9 is a true statement which multiplication property is this example of? identity distributive associative communative
    6·2 answers
  • Use the distributive property to find two expressions that are equivalent to 7(3x - 4)
    13·1 answer
  • #1. What is 15% of 60?
    15·2 answers
  • Phineas and Ferb are preparing to conduct experiments at Dataknee Incorporated. Phineas bought 4 beakers and 3 goggles for $33.
    6·1 answer
  • Which inequality is true is x=4?
    7·2 answers
  • a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i
    12·2 answers
  • Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold: $\bullet$ $f(x)$ is divisible by $x^3$. $\bullet
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!