Which set of ordered pairs (2%, y) could represent a linear function?
A = {(-4,5), (-1,-1), (0, -3), (1,-6)}
B = {(2, -5), (4, -3), (7, -1), (9, 1)}
–5, )
C= {(-2, –8), (-1,-6), (2, - 2), (4,2)}
D = {(-4,3), (-1,2), (2, 1), (5,0)}

Answer:

the answer is 20abc

Step-by-step explanation:

5ab 4c

20abc

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Solution :

a). \($P(0)$\) is true

Then ,\($P(0+2)=P(2)$\) is true.

         \($P(2+2)=P(4)$\) is true

          \($P(4+2)=P(6)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the even integers : \($\{0, 2,4,6,...\}$\)

b). \($P(0)$\) is true

Then ,\($P(0+3)=P(3)$\) is true.

         \($P(3+3)=P(6)$\) is true

          \($P(6+3)=P(9)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the multiples of 3 : \($\{0, 3,6,9,12,...\}$\)

c). \($P(0)$\) and \($P(1)$\) is true, then \($P(0+2)=P(2)$\) is true

\($P(1)$\) and \($P(2)$\) is true, then \($P(1+2)=P(3)$\) is true.

\($P(2)$\) and \($P(3)$\) is true, then \($P(2+2)=P(4)$\) is true.

So, we observe that  \($P(n)$\) is true for all the non- negative integers : \($\{0, 1,2,3,4,5,6,...\}$\).

d). \($P(0)$\) is true,

   So, \($P(0+2)$\) and \($P(0+3)$\) is true or \($P(2)$\) and \($P(3)$\) is true.

   Now,   \($P(2)$\) is true.

Again, \($P(2+2)$\) and \($P(2+3)$\) is true or \($P(4)$\) and \($P(5)$\) is true.

   Now, \($P(3)$\) is true.

Again, \($P(3+2)$\) and \($P(3+3)$\) is true or \($P(5)$\) and \($P(6)$\) is true.

Thus,

\($P(n)$\) is true for all the non- negative integers except 1 : \($\{0, 2,3,4,5,6,...\}$\).

If Jamal wants to become a millionaire, then Jamal must wait for 19 years if he invests $22,108.44 at 21% today, Jamal must wait for 18 years if he invests $45,104.11 at 16% today, Jamal must wait for 22 years if he invests $152,814.56 at 8% today, and Jamal must wait for 24 years if he invests $276,434.51 at 6% today

To calculate the waiting period for Jamal, follow these steps:

Therefore, Jamal has to wait approximately 19, 18, 22, and 24 years respectively to become a millionaire by investing $22,108.44, $45,104.11, $152,814.56, and $276,434.51 respectively at 21%, 16%, 8%, and 6% interest rates.

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Answer:

610m²

Step-by-step explanation:

183/5 × 50/3

= 61×10

= 610m²

Answer:

 In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.

In linear equation,   20x + 45y = 440 ,     y = 2x  Where x is the number of small boxes sent and y  is the number of large boxes sent.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Let be x the number of small boxes sent and y the number of large boxes sent.

Since each small box can hold 20 books (20x), each large box can hold 45 books (45y)and altogether can hold a total of 440 books, we can write the following equation to represent this

                 20x + 45y = 440

According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation

              y = 2x

Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is

                20x + 45y = 440

                      y = 2x

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Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: \(\frac{18}{7}\) and \(\frac{2}{1}\)

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

\(\frac{18}{7}\)  \(\frac{2}{1}\)

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

Answer:

<1 = 40 degrees

<2 = 140 degrees

Step-by-step explanation:

x - 29 + x + 71 = 180

2x + 42 = 180

2x = 180 - 42

x = 138/2

x = 69

<1 = 69 - 29 = 40 degrees

<2 = 180 - 40 = 140 degrees

Answer:

7.35 pints

Step-by-step explanation:

If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).

\(\frac{3}{4}\) * 9.8 (or 0.75 * 9.8) = 7.35

Therefore, 7.35 pints of the total paint used is white.

Hope I helped! Please give me brainliest!

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Answer:

1. 2.19g + 0.59b + 1.49p

2. 6.57 + 1.77 + 2.98 = 11.32

Answer:

Part A.)   2.19g + 0.59b + 1.49p

Part B.)   11.32

Step-by-step explanation:

Part A.)  

basically they give you the price for each item in the upper description. Just use g,b,p in terms that they gave you

Part B.)

plug in the amount of fruit per pound for each matching variable

2.19(3) + 0.59(3) + 1.49(2) = 11.32

If a 600 room hotel generated the following room sales/ rates: 250 rooms sold at $195, 120 rooms sold at $165, 95 rooms sold at $770 and the occupancy suddenly increases to 100% and the ADR remains the same, then the RevPAR is $236.16.

To calculate the RevPAR, follow these steps:

Hence, none of the options provided are correct.

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If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.

On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.

Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.

Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.

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Answer:

n = 5

Step-by-step explanation:

Any 3-digit number to the base n will have its rightmost digit have a place value of n⁰, its next rightmost digit a place value of n¹ and the leftmost digit will have a place value of n²

This means 133can be represented as follows
n²     n¹     n⁰

1       3      3

The actual value in terms of a base of 10

= 3 x n⁰ + 3  x n¹   + 1 x n²

= 3 x 1 + 3 x n + 1 x n²      (n⁰ = 1 and n¹ = n)

= 3 + 3n + 1n²

Since we are given the information that 133ₙ = 43₁₀
3 + 3n + 1n²  = 43

subtract 3 from both sides
3n + 1n² = 40

Rewrite as

n² + 3n = 40

Factoring n on the left side=>
n(n + 3) = 40

If we look at the factors of 40:
1 x 40

2 x 20

4 x 10

5 x  8

5 and 8 satisfy the condition n(n + 3) = 40

So n = 5

Answer:

3 + (-2) + (-2), or 3-2-2

Step-by-step explanation:

5, 5 1, 2, 6, 3

The standard parametric equations for an ellipse centered at the origin with semi-axes a and b are: the estimated circumference of the ellipse is approximately 27.6 units.

The standard parametric equations for an ellipse centered at the origin with semi-axes a and b are:

x = acos(t)

y = bsin(t)

We can rewrite the given equation of the ellipse as:

x^2/4 + y^2/16 = 1

This suggests that a = 2 and b = 4. Thus, the parametric equations for the ellipse are:

x = 2cos(t)

y = 4sin(t)

To estimate the circumference of the ellipse, we can use Simpson's Rule with n = 8, which gives:

C ≈ ∫[0,2π] sqrt(x'(t)^2 + y'(t)^2) dt ≈ (2π/3)(sqrt(x'(0)^2 + y'(0)^2) + 4sqrt(x'(π/8)^2 + y'(π/8)^2) + 2sqrt(x'(π/4)^2 + y'(π/4)^2) + 4sqrt(x'(3π/8)^2 + y'(3π/8)^2) + 2sqrt(x'(π/2)^2 + y'(π/2)^2) + 4sqrt(x'(5π/8)^2 + y'(5π/8)^2) + 2sqrt(x'(3π/4)^2 + y'(3π/4)^2) + 4*sqrt(x'(7π/8)^2 + y'(7π/8)^2) + sqrt(x'(π)^2 + y'(π)^2))

where x'(t) and y'(t) denote the derivatives of x and y with respect to t, respectively. These are:

x'(t) = -2sin(t)

y'(t) = 4cos(t)

Plugging in these expressions, we get:

C ≈ (2π/3)(sqrt(4^2 + 0^2) + 4sqrt(4^2 + (-2sin(π/8))^2) + 2sqrt(0^2 + (-4sin(π/4))^2) + 4sqrt(4^2 + (-2sin(3π/8))^2) + 2sqrt(0^2 + (-4sin(π/2))^2) + 4sqrt(4^2 + (-2sin(5π/8))^2) + 2sqrt(0^2 + (-4sin(3π/4))^2) + 4*sqrt(4^2 + (-2sin(7π/8))^2) + sqrt(0^2 + (-4sin(π))^2))

Simplifying this expression and evaluating numerically, we get:

C ≈ 27.6

Therefore, the estimated circumference of the ellipse is approximately 27.6 units.

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Answer: 659+(3*25)=y

Step-by-step explanation:

Answer:

734

Step-by-step explanation:

multiply the 25 by 3

next you add what you get from 25 x 3 to the price of the iphone

Answer:

B. SSA

Step-by-step explanation:

Because we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.

I hope this helps!

Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

Answer:

no

Step-by-step explanation:

\(\qquad\qquad\huge\underline{\boxed{\sf Answer}}\)

Let's plug in the value of x as 7, to check if 7 is the solution to given equation ~

\(\qquad \sf  \dashrightarrow \: - 7(x + 5) = - 14\)

\(\qquad \sf  \dashrightarrow \: - 7(7 + 5) = - 14\)

\(\qquad \sf  \dashrightarrow \: - 7(12) = - 14\)

\(\qquad \sf  \dashrightarrow \: - 84 \: \cancel= - 14\)

Since, the terms on both sides aren't equal. therefore we can say that 7 isn't the solution ~

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

6*6=36

Step-by-step explanation:

In the diagram given

When you take a look at the first image, you will see that

Throughot the graph, the distance increases as the time increases, and we can see a rapid in the distance

So the first graph matches with table B

As for the second graph, when you take a look at it

you will see that the distance increases with time initially, but after a while the distance decreases with time

so table A best descibe the second graph

Hence the second graph matches with table A

Finally, the third graph, taking a closer look at the third graph, you will see that the distance also increases with time, but not a rapid increase

so the table C best discribe the third graph

Hence the third graph matches table C

Answer:

20%×X=30

x=150

Step-by-step explanation:

30÷20%=150

20%×150=30

To find the solutions of the quadratic equation \(\(x^2 - 8x + 97 = 0\),\) we can use the quadratic formula.

The quadratic formula states that for an equation in the form \(\(ax^2 + bx + c = 0\),\) the solutions for \(\(x\)\) can be found using the formula:

\(\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]\)

Comparing the given equation \(\(x^2 - 8x + 97 = 0\)\) with the general form, we have \(\(a = 1\), \(b = -8\),\) and \(\(c = 97\).\)

Substituting these values into the quadratic formula, we get:

\(\[x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(1)(97)}}{2(1)}\]\)

Simplifying the equation further:

\(\[x = \frac{8 \pm \sqrt{64 - 388}}{2}\]\)

\(\[x = \frac{8 \pm \sqrt{-324}}{2}\]\)

Since the term inside the square root is negative, \(\(\sqrt{-324}\)\) is not a real number, which means there are no real solutions to this quadratic equation. The solutions would be complex numbers.

Thus, the given equation \(\(x^2 - 8x + 97 = 0\)\) has no real solutions.

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

C

Step-by-step explanation:

It is C. Have a great day!

The volume of the ball is 267.95cm³ and the density of the ball is  0.335gcm⁻³

Density is a measure of the mass of an object per unit of volume. It is usually expressed in units of grams per cubic centimeter (g/cm3).

In this problem, the density of the ball is calculated as;

density = mass / volume

volume = volume of sphere

volume = 4/3πr³

volume = 4/3 * 3.14 * 4³

volume = 267.95cm³

The volume is 267.95cm³

The density of the ball = mass / volume

density = 90 / 267.95 = 0.335gcm⁻³

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