Which type of function best models the data in the table below

Answers

Answer 1

The function represented by the table is therefore y = -x -2 which is linear in nature

Linear functions

Linear function are functions that have a leading degree of 1. using the coordinate points on the graph

(0, -2) and (1, -3)

Note that the function will be linear since the dependent and independent variables both have the same common difference.

Determine the slope

slope =  -3+2/1-0
slope = -1/1

slope = -1

For the intercept, it is -2 according to the coordinate (0, -2)

The function represented by the table is therefore y = -x -2 which is linear in nature

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Which Type Of Function Best Models The Data In The Table Below

Related Questions

5% dextrose infused over 8 hours. how many ml of iv fluid is infused after 6 hours?

Answers

The nurse prepares a 1,000 ml IV of 5% dextrose and water to be infused over 8 hours.

We have given that,

5% dextrose infused over 8 hours.

We have to determine the ml of iv fluid is infused after 6 hours.

What is the mixture problem?

A value mixture problem involves combining two ingredients that have different prices into a single blend.

The infusion set delivers 10 drops per milliliter.

The nurse should regulate the IV to administer approximately 21 drops per minute.

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If f(x)...............

Answers

Answer:

The inverse is 5x-6

Step-by-step explanation:

To find the inverse of a function

y = ( x+6) /5

Exchange x and y

x = ( y+6)/5

Solve for y

Multiply each side by 5

5x = (y+6)/5 *5

5x = y+6

Subtract 6  from each side

5x-6 = y+6-6

5x-6 =y

The inverse is 5x-6

Step-by-step explanation:

[tex]f(x) = \frac{x + 6}{5} [/tex]

[tex] \: [/tex]

[tex]y = \frac{x + 6}{5} [/tex]

[tex] \frac{y + 6}{5} = x[/tex]

[tex]y + 6 = 5\times x[/tex]

[tex]y + 6 = 5x[/tex]

[tex]y = 5x - 6[/tex]

[tex] {f}^{ - 1} (x) = 5x - 6[/tex]

The answer is D.

Which rules define the function graphed below? (-2,2) (0,6) (4,6)

Answers

Answer:

y = 2x + 3; y = -1/3 x + 3

Step-by-step explanation:

Both lines have y-intercept 3.

The slopes are 2 and -1/3.

The equations are: y = 2x + 3; y = -1/3 x + 3

Evaluate a=5 and y= -7 for y-2a

Answers

Answer:  -17

Step-by-step explanation:

y - 2a

= -7 - 2(5)

= -7 - 10

= -17

In how many ways can a 7 person committee be chosen from a group of 10 people?

Answers

[tex]\displaystyle\\\binom{10}{7}=\dfrac{10!}{7!3!}=\dfrac{8\cdot9\cdot10}{2\cdot3}=4\cdot3\cdot10=120[/tex]

Find the measure of ∠2.
72°
60°
36°
54°

Answers

Answer:

  (c)  36°

Step-by-step explanation:

We assume the pentagon is regular, so each central angle is congruent to the others. Each central angle is bisected by an apothem.

Angle 1

Angle 1 is one of 5 congruent central angles, so its measure is ...

  ∠1 = 360°/5 = 72°

Angle 2

Angle 2 is the result of one of the isosceles triangles having its central angle being bisected by an altitude. Its measure is half that of angle 1:

  ∠2 = 72°/2 = 36°

The measure of angle 2 is 36°.

Angle 3

Angle 3 is the other acute angle in the right triangle in which angle 2 is one of the acute angles. Its measure is ...

  ∠3 = 90° -∠2 = 90° -36° = 54°

Which rule describes the composition of transformations that maps ΔDEF to ΔD''E''F''?
R0,90° ∘ T5,0(x, y)
T–5,0 ∘ R0,90°(x, y)
T5,0 ∘ R0,90°(x, y)
R0,90°(x, y) ∘ T–5,0

Answers

The transformations rule for changing DEF into D"E"F is

(b) T-5,0-RO. 90° (x,y)

Which rule describes the composition of transformations that maps ΔDEF to ΔD''E''F''?

To transform a shape is to alter its dimensions and relative placement.

To convert from DEF to D"E"F, use this rule:

(b) T-5,00 RO, 90°(x, y)

From the complete question,

When DEF is spun 90 degrees counterclockwise, it becomes GH.

Then, 5 units were subtracted from the right and translated to the left.

Assume a rotation of 90 degrees counterclockwise, and write it as:

RO, 90°(x,y)

As a symbol, the leftward translation of 5 units looks like this:

T-5,0(x,y)

When both transformations are combined, we have:

T-5,0 R0.90° (x. y)

In conclusion, the transformations rule for changing DEF into D"E"F is

(b) T-5,0-RO. 90° (x,y)

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A support cable for a 56-foot tower forms a 67° angle with the ground.
What is the length of the cable to the nearest foot?
56 ft.
61 ft.
60 ft.
75 ft.

Answers

The length to the nearest foot would be 60 ft.
So visualise a tower of 56ft and a cable with ground with angle of 67degree.

to find the length of the cable, you need to use trigonometry. So you have 56ft as the opp of 67degree and cable as hypotenuse of 67degree.

thus Sin(67)=OPP/HYP
=56/HYP
HYP=56/Sin(67)
=60.83618113
=61 ( nearest foot )

Therefore Ans: 61ft

If ∠ 1 = 26 o , find the measure of ∠ 4 .

Answers

The angle ∠4 of the given transversal shown in the diagram is gotten as; 26°.

How to find alternate angles?

The alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Now, we are told that ∠1 = 26° as seen in the attached diagram. However, it is clear that ∠2 is an alternate angle to ∠1. Thus, we can say that ∠2 = 26°.

Now, Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

From the diagram we see that ∠4 is a corresponding angle to ∠2. Thus;

∠4 = 26°.

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y is directly proportional to x and inversely proportional to the square of w. Give the equation:

Answers

Answer: y=kx/w^2

Step-by-step explanation:

y is directly proportional to x

y∝x        

y=kx

y inversely proportional to the square of w.

y ∝ (1/(w)^2)

y=k/w^2

y=kx/w^2


Which expression is equivalent to sin?
O sin-
sin
O sin 5
O sin 5
11


sin-


Answers

Answer: Option 4

Step-by-step explanation:

[tex]\sin \frac{7\pi}{6}=\sin \left(-\frac{\pi}{6} \right)=\sin \frac{11\pi}{6}[/tex]

Using equivalent angles, the equivalent expression to [tex]\sin{\left(\frac{7\pi}{6}\right)}[/tex] is:

[tex]\sin{\left(\frac{11\pi}{6}\right)}[/tex]

What are equivalent angles?

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, we have that [tex]\frac{7\pi}{6}[/tex] is on the third quadrant, as [tex]\pi < \frac{7\pi}{6} < \frac{3\pi}{2}[/tex]. Hence the equivalent angle on the first quadrant is:

[tex]\frac{7\pi}{6} - \pi = \frac{7\pi}{6} - \frac{6\pi}{6} = \frac{\pi}{6}[/tex]

The sine is negative on the third and fourth quadrants, hence the equivalent angle on the fourth quadrant is:

[tex]2\pi - \frac{\pi}{6} = \frac{11\pi}{6}[/tex]

Thus, the equivalent expression is:

[tex]\sin{\left(\frac{11\pi}{6}\right)}[/tex]

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Consider the following sample of fat content of n=10 randomly selected hot dogs

Answers

The average fat content of the ten hot dog samples is: 21.91

How to calculate the average fat of hot dog samples?

To calculate the average fat of the hot dog samples we must add all the values and divide the result by the number of values as shown below:

25.2 + 21.3 + 22.9 + 17.0 + 29.8 + 21.0 + 25.5 + 16.0 + 20.9 + 19.5 = 219.1219.2 ÷ 10 = 21.91

Note: This question is incomplete because there is some information missing. Here is the complete information:

Question: What is the average fat of the hot dogs?

Hot Dogs' fat

Sample 1: 25.2

Sample 2: 21.3

Sample 3: 22.9

Sample 4: 17.0

Sample 5: 29.8

Sample 6: 21.0

Sample 7: 25.5

Sample 8: 16.0

Sample 9: 20.9

Sample 10: 19.5

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 36 hours and the median is 32.2 hours. Twenty-four of the families in the sample turned on the television for 21 hours or less for the week. The 11th percentile of the data is 21 hours.

Step 1 of 5 : Based on the given information, determine if the following statement is true or false.
The 54th percentile is greater than or equal to 31 hours.

true or false

Answers

Using the median concept, it is found that the statement is true.

What is the median of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, we have that the 50th percentile is of 33.2 hours, hence the 54th percentile has to be above 33.2 hours = above 31 hours, hence the statement is true.

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Question 3
B
16 cm
38°
-C
Calculate the length of AB to 2 decimal places.

Answers

The question was incomplete. Below you can find the missing content.

ABC is a right-angled triangle.

b=16 cm

∠C=38°

Calculate the length of AB. Give your answer correct to 2 decimal places.

The picture is also attached below.

The length of the side AB is 9.85 cm.

From the triangle, it is given that

b= AC=16 cm

∠C=38°

Given that ΔABC is a right-angled triangle.

where ∠B=90°

So, here we can apply the  SOH CAH TOA identity

As we know the value of sinθ is the ratio of the opposite side and the hypotenuse of the angle θ.

So, sinθ = opposite side/ hypotenuse

In triangle ΔABC

⇒ sin 38°= AB/AC

⇒ sin 38°= AB/16

⇒ AB= 16 sin 38°

⇒ AB= 9.85 cm

Therefore the length of the side AB is 9.85 cm.

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A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls. Test whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%. Use the .05 level of significance.

Answers

Using the z-distribution, it is found that since the p-value is greater than 0.05, the proportion does not differ from 23%.

What are the hypotheses tested?

At the null hypotheses, it is tested if the proportion is of 23%, that is:

[tex]H_0: p = 0.23[/tex]

At the alternative hypotheses, it is tested if the proportion differs from 23%, hence:

[tex]H_1: p \neq 0.23[/tex]

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

The parameters are given as follows:

[tex]p = 0.23, n = 200, \overline{p} = \frac{51}{200} = 0.255[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.255 - 0.23}{\sqrt{\frac{0.23(0.77)}{200}}}[/tex]

z = 0.84.

Using a calculator and considering a two-tailed test, as we are testing if the proportion is different of a value, with z = 0.84, the p-value is of 0.4.

Since the p-value is greater than 0.05, the proportion does not differ from 23%.

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what is the average rate of change if this function interval x = -3 to x = 0

Answers

The average rate of change of the function, over the given interval is 2.

This question is incomplete, the complete question is:

What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.

What is the average rate of change over the interval?

The average rate of change of f(x) over the interval [a,b] is expressed as;

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Given that;

f(x) = 2x + 10Interval: [ -3, 0 ], a = -3 and b = 0

We substitute our values into the expression above.

[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2[/tex]

Therefore, the average rate of change of the function, over the given interval is 2.

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Can someone please tell me the answer to this question?

Answers

Answer:

D) 12pm

Step-by-step explanation:

8 pm = 20:00

20:00 + 16:00*4 = 20:00 + 64:00 = 84:00

subtract the 24 hours in 84:00

84:00 - 3 X 24:00 = 12:00

12:00 = 12pm

32y+54x+56=y what is y

Answers

i think y= -54/36x -56/31

is this the kind of thing youre looking for?
explanation:

Write each phrase as a mathematical expression.

The quotient of 8 more than the radius, r, and 4

Answers

Answer: (r+8)/4

Step-by-step explanation:

Not much really to explain...

QUESTION IS DOWN BELOW WORTH 30 POINTS

Answers

Answer:

395.84

Step-by-step explanation:

V=πr2h=π·3^2·14

9. Find the value of the
underlined digit in the
following number.
739,485

Answers

Answer:

There's no underlined digit

Answer:

See below

Step-by-step explanation:

3 is in the 10 000 place    = 30 000

   ( just put zeroes in place of all of the following numbers)

What is the slope of a line parallel to the line whose equation is3x−4y=8?


−43

−34

34

43

Answers

The slope of the parallel line is 3/4

How to determine the slope?

The equation is given as:

3x - 4y = 8

Rewrite as:

4y = 3x - 8

Divide through by 4

y = 3x/4 -  2

A linear equation is represented as:

y = mx + b

Where m represents the slope

By comparison:

m = 3/4

Parallel lines have equal slope

Hence, the slope of the parallel line is 3/4

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3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. What is the probability that both of the marbles drawn are blue? a. b. $ 24% * 39% C. d 0 14% 3 A bag contains red and blue marbles , such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble , replacing it , and drawing another marble . The two draws are independent . What is the probability that both of the marbles drawn are blue ? a . b . $ 24 % * 39 % C. d 0 14 %​

Answers

Answer:

My answer: B

Step-by-step explanation:

The probability mass function of random variable X which represents the number of blue marbles drawn in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

The probability of drawing exactly one blue marble = 0.46875

Complete Question

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.

Probability of drawing a blue marble = P(B) = (3/8)

Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)

- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625

- Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)

= (3/8) × (3/8) = (9/64) = 0.140625

The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

b) Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

So, B is the answer.

4. 1/37 of 111 + 1/3 of ? = 0
(1) 3
2) 9
3) 1
4) can not be determined ​

Answers

Answer:

4

Step-by-step explanation:

1/37 of 111+1/3 of 3= 4

1/37 of 111 +1/3 of 9=6

1/37 of 111 +1/3 of 1=3.3

What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter​

Answers

Answer:

Step-by-step explanation:

The area of a sector in terms of radians as opposed to degrees is

[tex]A=\frac{\theta}{2\pi }*\pi r^2[/tex]

Filling in the formula accordingly gives us

[tex]A=\frac{1.75rad}{2\pi rad}*\pi (2)^2[/tex]

The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with

A = 1.75(2) so

A = 3.5 units squared

Complete the following questions. 2 x 4² x 2 = (6 x 3²) ÷ 9 =

Answers

Answer:

4    ^x27

3

Step-by-step explanation:

2x4^2x2(6x3^2)

9

Simplifies to:

4   ^x27

3

=

4    ^x27

3  

In one lottery game, contestants pick five numbers from 1 through 23 and have to match all five for the big prize (in any order). You'll get twice your money back if you match three out of five numbers. If you buy four tickets, what's the probability of matching three out of five numbers?

(Enter your answer as a fraction in lowest terms.)

Answers

The probability of matching three out of five numbers is 153/33649

How to determine the probability?

The numbers are given as:

1 to 23

There are five matching numbers

The  probability of getting a match is:

p = 5-k/n where k = 0, 1, 2

While the complement probability is

q = (n - 2)/n

Using the above formulas, the probability of getting from 5 is:

P = 5/23 * 4/22 * 3/21 * 18/20 * 17/19

Evaluate the product

P = 153/33649

Hence, the probability of matching three out of five numbers is 153/33649

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Find the slope of the straight line that passes through (–2, –4) and (3, –5).
A. m= -1/5
B. m = –1
C. m = 1/5
D. m = 1

Answers

Answer is A. m= -1/5
Step by step
To find slope, (y2-y1) over (x2-x1)
(-5)-(-4) over 3-(-2)
-1 over 5
m = -1/5

[tex]\large\boxed{\textsf{A.}\ m=-\frac{1}{5}}[/tex]

We can use the slope formula, where our points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

This is also known as "rise over run" because it represents the change in vertical ([tex]y[/tex]) position divided by the change in horizontal ([tex]x[/tex]) position.

Substitute the values from the points given:

[tex]\dfrac{(-5)-(-4)}{3-(-2)}[/tex]

Subtract:

[tex]\boxed{\dfrac{-1}{5}}[/tex]

Tamika has a spinner with 5 equal sections – red, blue, green, yellow, and purple. She plans to spin it 150 times. Predict how many times she should expect the pointer to land on either green or yellow.

Answers

Probability helps us to know the chances of an event occurring. The number of times Tamika should expect the spinner to land on green or yellow is 60.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Total number of sections on the spinner = 5

Number of sections with green or yellow sections = 2

Number of trials = 150

Now, the number of times Tamika should expect the spinner to land on green or yellow is,

Expected Number of lands on green or yellow = 150 × (2/5) = 60

Hence, the number of times Tamika should expect the spinner to land on green or yellow is 60.

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Perimeter and area
What is the area of the square, circle, and shaded region?
A)
B)
C)

Answers

(a) The side length of the square is 8 m, so its area is 64 square m.

(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.

(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.

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