The ordered pairs below represent a relation between x and y. (-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12).
Could this set of ordered pairs have been generated by a liner function?
A. No, because the y-values decrease then increase
B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x,y) values you use to calculate it
C. No, because the distance between consecutive y-values is different than the distance between consecutive x-values
D. Yes, because the distance between x-values is inconstant

The options that are geometric progressions are:

This is a progression of numbers which usually have a defined ratio that is between them.

The ratio in the options above are:

[tex]\frac{1}{2} , \frac{3}{1} , \frac{2}{1}[/tex]

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Answer:it’s a,c,d

Step-by-step explanation:

  x^2 +(x-4)^2 =20^2

  x^2 +(x-4)^2 =400

x^2 +(x-4)^2 -400=0

factor:

2x^2-8x-384=0

Factor the 2 out of 2X^2

2(x-16) (x+12) =0

 Divide both sides by 2

(x-16) (x+12) =0

X=16 , x=-12

 Number cannot be negative so x=16

Answer:  D.) x = 16

Step-by-step explanation:

Given: The dimensions of the computer screen are modeled by the equation :

[tex]x^2+(x-4)^2=20^2[/tex]

To find the value of x , we need to solve the equation.

Now, the above equation can be written as :

[tex]x^2+x^2+16-8x=400\\\\\Rightarrow\ 2x^2-8x+16=400\\\\\Rightarrow2x^2-8x+384=0\\\\\Rightarrow\ 2(x^2-4x+192)=0\\\\\Rightarrow\ x^2-4x+192=0\\\\\Rightarrow(x-16)(x+12)=0\\\\\Rightarrow\ x=16\ or\ x=-12[/tex]

Since side cannot be negative therefore, x= 16

Due to the fact that they all contain elements of random selection, techniques like cluster sampling and multistage sampling are just as externally valid as simple random sampling due to the fact that they all contain elements of random selection.

Cluster sampling are more or less alike, each heterogeneous and resembling the overall population. The population is split into representative clusters, then a selection is done one or few from the clusters, then lastly, a census is performed with those selected clusters.

In multistage sampling, several methods are combined in sampling schemes and occasionally utilized the same method or different methods or more than once. Though they have different steps in being done, they both have random selection elements. 

The arc length of a central angle of π/4 in a circle whose radius is 8 inches is 2π inches. Therefore, option B is the correct answer.

The arc length is defined as the interspace between the two points along a section of a curve. An arc of a circle is any part of the circumference. The angle subtended by an arc at any point is the angle formed between the two line segments joining the center to the end-points of the arc.

The formula to find the arc length of a circle is θ/360° ×2πr.

Given that, θ=π/4 =180/4 = 45° and radius = 8 inches.

Now, arc length = 45°/360° ×2×3.14×8

= 1/8×2×3.14×8

= 6.28 inches or 2π inches

Therefore, option B is the correct answer.

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Answer:

27

Step-by-step explanation:

i just took the test

Answer:  The correct option is (B) [tex]\dfrac{14}{33}.[/tex]

Step-by-step explanation:  Given that a family has 8 girls and 4 boys. A total of 2 children must be chosen to speak on the behalf of the family at a local benefit.

We are to find the probability that 2 girls and no boys are chosen.

Total number of children in the family = 8 + 4 =12.

Let S denote the sample space of choosing 2 children from the family of 12 children and A denote the event of choosing 2 girls and no boys.

Then, according to the given information, we have

[tex]n(S)=^{12}C_2=\dfrac{12!}{2!(12-2)!}=\dfrac{12\times11\times10!}{2\times1\times10!}=66,\\\\\\n(A)=^8C_2\times^4C_0=\dfrac{8!}{2!(8-2)!}\times1=\dfrac{8\times7\times6!}{2\times1\times6!}=28.[/tex]

Therefore, the probability of event A is given by

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{28}{66}=\dfrac{14}{33}.[/tex]

Thus, the required probability is [tex]\dfrac{14}{33}.[/tex]

Option (B) is CORRECT.

area for the hexagon = 1/2*p*a

p = perimeter = 18*6=108

a = apothem = 15.59

108*15.59 = 1683.72/2 = 841.86 sq units

Area of rectangle = 18 x 21 = 378

841.86-378 = 463.86 rounded to 464 square units

Answer: D IS THE ANSWER

The value of x remains 10 after evaluating the Java expression (y >= 10)||(x++ > 10) due to short-circuit evaluation, as the first condition y >= 10 is true.

The student is asking about the value of x after evaluating the Java expression (y >= 10)||(x++ > 10) given that x=10 and y=10. The double pipe || represents a logical OR operator, which evaluates to true if at least one of the operands (conditions) is true. Since y >= 10 is true because y is equal to 10, the OR expression is true, and Java does not evaluate the second operand due to short-circuit evaluation. Short-circuit evaluation means that in an OR expression, if the left-hand side is true, the right-hand side is not evaluated, which in this case means that x++ is not executed. Therefore, x remains 10.

To calculate the probability of correctly predicting 14 or more coin tosses out of 20, we can use the binomial probability formula.

To calculate the probability of correctly predicting 14 or more coin tosses out of 20, we can use the binomial probability formula. The probability of getting exactly k successes in n independent trials with a probability p of success in each trial is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) is the binomial coefficient, n! / (k! * (n - k)!), p is the probability of success (0.5 for a fair coin), and n is the number of trials (20 tosses).

To find the probability of getting 14 or more successes, we need to sum the probabilities of getting 14, 15, 16, ..., 20 successes.

P(X >= 14) = P(X = 14) + P(X = 15) + P(X = 16) + ... + P(X = 20)

We can calculate these probabilities and then add them together to get the overall probability.

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the approximate volume of the toy ice cream cone is around [tex]\( \frac{32}{3}π \)[/tex]cubic inches, considering the half-sphere as[tex]\( \frac{16}{3}π \)[/tex] and the cone as [tex]\( \frac{16}{3}π \).[/tex]

let's calculate the approximate volume of the toy ice cream cone step by step.

First, we need to determine the volume of the half-sphere, which is the ice cream part.

The formula for the volume of a sphere is:

[tex]\[ V_{\text{sphere}} = \frac{4}{3}πr^3 \][/tex]

But since we only have a half-sphere, we'll divide the result by 2.

Now, we need to find the radius ((r)) of the half-sphere. We can do this by measuring the radius of the ice cream cone's base.

Let's say the radius of the ice cream cone's base is (r = 2) inches.

Substituting the value of (r) into the formula:

[tex]\[ V_{\text{half-sphere}} = \frac{1}{2} \times \frac{4}{3}π(2)^3 \][/tex]

[tex]\[ V_{\text{half-sphere}} = \frac{1}{2} \times \frac{4}{3}π(8) \][/tex]

[tex]\[ V_{\text{half-sphere}} = \frac{1}{2} \times \frac{32}{3}π \][/tex]

[tex]\[ V_{\text{half-sphere}} = \frac{16}{3}π \][/tex]

Now, let's find the volume of the cone part.

The formula for the volume of a cone is:

[tex]\[ V_{\text{cone}} = \frac{1}{3}πr^2h \][/tex]

Where (h) is the height of the cone.

Let's say the height of the cone is (h = 4) inches.

Substituting the values into the formula:

[tex]\[ V_{\text{cone}} = \frac{1}{3}π(2)^2(4) \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3}π(16) \][/tex]

[tex]\[ V_{\text{cone}} = \frac{16}{3}π \][/tex]

Now, to find the total volume of the ice cream cone, we'll add the volumes of the half-sphere and the cone together:

[tex]\[ V_{\text{total}} = V_{\text{half-sphere}} + V_{\text{cone}} \][/tex]

[tex]\[ V_{\text{total}} = \frac{16}{3}π + \frac{16}{3}π \][/tex]

[tex]\[ V_{\text{total}} = \frac{32}{3}π \][/tex]

So, the approximate volume of the toy ice cream cone is [tex]\( \frac{32}{3}π \)[/tex]cubic inches.

Answer:

725, 1 per every 2 ft.

Step-by-step explanation:

It gives the actual height for the building, 1,450, and it says one block is two feet. Divide 1,450 by 2 and you'd get 725. And we already know dat one block is two feet so it's 1:2

(why did I start singing ``You Reposted in the Wrong Hero Academia?`` UwUz)

that means the bank keeps 3% and can loan out 97% of the total

 16000*0.97 = $15,520 can be loaned out

Answer:

D. 3

Step-by-step explanation:

Here h represents the horizontal shift. In the given graph, the graph shifted 3 units to the right from the origin.

Therefore, h = 3.

Answer: D. 3

Hope this will helpful.

Thank you.