what is the median of 17, 2,15,10,16,6​

Answer:

1. y < -12

2. x > -12

Step-by-step explanation:

Just create a number line with the arrow going towards the direction that the greater/less than symbol is pointing

The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]  is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

"The inverse function of a function f (also called the inverse of f ) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by  [tex]f^{-1}[/tex]."

We have

[tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]

Replace g(x) with y

[tex]y =[/tex] [tex]\frac{x^{3} }{8}+16[/tex]

Interchange the variables

[tex]x= \frac{y^{3} }{8}+16[/tex]

Rewrite the equation as

[tex]\frac{y^{3} }{8}+16= x[/tex]

⇒[tex]\frac{y^{3} }{8}= x-16[/tex]

Multiply both sides of the equation by 8

[tex]8.\frac{y^{3} }{8}=8(x-16)[/tex]

⇒[tex]{y^{3} }=8(x-16)[/tex]

⇒[tex]{y^{3} }=8x-128[/tex]

⇒[tex]{y} }=\sqrt[3]{8x-128}[/tex]

⇒[tex]{y} }=2\sqrt[3]{x-6}[/tex]

Replace y with [tex]g^{-1}(x)[/tex]

⇒[tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

Hence, The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex] is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

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Answer:

The answer is Exponential decay, 25% decrease

Step-by-step explanation:

In f(x) = 16(0.75)x the (0.75) does not have a 1 so it is decreasing and if it is only 75% of 16 then it would be losing 25% each time

Answer:

pemdas (parentheses, exponents, multiplication, division, addition, subtraction) so you subtract what's in the parentheses (7.4 - 3.6)

Answer:

Non-proportional relationship

Step-by-step explanation:

Proportional relationships must pass through the origin. Otherwise, at [tex]x=0[/tex], we lose the constant of proportionality, and the y-value at [tex]x=0[/tex] becomes correlated only to the y-intercept.

The format for a proportional relationships is given by [tex]y=kx[/tex], where [tex]k[/tex] is some constant referred to as the constant of proportionality.

Answer:

2/7=0.285714

3/7=0.428571

4/7=0.571428

5/7=0.714285

6/7=0.857142

Step-by-step explanation:

1/7 = 0.142857

2/7=2(1/7)

2/7=2(0.142857)

2/7=0.285714

3/7=1/7+2/7

3/7=0.142857+0.285714

3/7=0.428571

Or

3/7=3(1/7)

3/7=3(0.142857)

3/7=0.428571

4/7=2(2/7)

4/7=2(0.285714)

4/7=0.571428

5/7=5(1/7)

5/7=5(0.142857)

5/7=0.714285

6/7=2(3/7)

6/7=2(0.428571)

6/7=0.857142

Answer:

3x+4

Step-by-step explanation:

3 ft every second is the rate of change or the slope. 4 ft above the ground is the y-intercept.

Answer:

y=3x+4

Step-by-step explanation:

3x is 3 feet multiplied by however many seconds

4 is the additional 4 feet that the balloon had started at

Answer:

4/5

Step-by-step explanation:

You add [tex]\frac{7}{15} +\frac{1}{15} +\frac{4}{15}.[/tex] You will get [tex]\frac{12}{15}[/tex] You then simplify it and get [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Dave + 6 friends = 7 friends in total

84 ÷ 7 = 12

Each friend paid $12

Each of them paid $12 for the Meal.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Dave and 6 friends went to dinner.

Total amount of meal= $84

So, each of them paid

= 84/ 7

= 12

Thus, each of them paid $12.

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Answer:

A statistical question

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

164.6

Step-by-step explanation:

All degrees of a triangle add up to 180°. angle c and angle e are congruent so you add them to get 15.4. you subtract 15.4 from 180 and get 164.6

Any number ending with a even number is even

B. 41680

C. 55822

D. 87318

E. 93256

Answers are B, C, D, E

Answer:

They will meet in 2.25 hours or 2 hours 15 minutes

Step-by-step explanation:

At any point in time;

distance = speed * time

Let the number of hours at which they meet be x

In x hours, the distance traveled by Karen will be 59 * x = 59x miles

In same x hours, the distance traveled by Ricardo will be 65 * x = 65x miles

Since they are traveling in opposite directions, the distance traveled at that time by Karen will be less than what Ricardo has traveled since he is traveling at a greater speed

However, the sum of whatever they have traveled will be equal to the distance between them

thus;

59x + 65x = 279

124x = 279

x = 279/124

x = 2.25 hours

Answer:

1st answer is correct

Step-by-step explanation:

JL

hope this helps you

can I have the brainliest please?

The simplified form of the given algebraic expression is; 96x⁶y⁵

We are given the algebraic problem;

(4x²y)(3xy)(2xy)³

Expanding the above gives us;

4x²y * 3xy * 2³x³y³

⇒ 4x²y * 3xy * 8x³y³

⇒ 96x⁶y⁵

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Answer:

Its 96x6y5 or B)

Step-by-step explanation:

The guy above or below me explained it correctly.

Answer:

2x² + 6x + 15 = 0

Step-by-step explanation:

Given quadratic equation is,

-2x² - 6x = 15

We have to convert this equation in the standard form of the quadratic equation,

ax² + bx + c = 0

(-2x² - 6x) = 15

-2x² - 6x - 15 = 0

2x² + 6x + 15 = 0

Answer:

Prime numbes

Step-by-step explanation:

Numbers whose only factors are 1 and itself are called prime numbers.

Such numbers have only two factors.

Examples are: 2, 3, 5, 7 ,9... etc.

Answer:

Prime numbers

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.

Using translation concepts, the function whose graph is plotted is given by:

y = 0.5cos(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the y-intercept is different of zero, hence it is a cosine function. The amplitude is of 0.5, hence the function is multiplied by 0.5, that is, y = 0.5cos(x), which means that option C is correct.

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Answer:

This is a statistical question.

A statistical question arises when you're asked to collect or gather varying data.

[tex]tan( \theta) = \frac{opposite}{adjacent} [/tex]

The opposite in this diagram is the side directly opposite to the ange theta.

So,

[tex]tan( \theta) = \frac{17}{17} = 1[/tex]

So the answer is 1.

Answer: AC/EA = AB/DA

Step-by-step explanation:

Answer:

calculate the volume of a triangular prism, the formula is:

V = 0.5 X b X a X h.

Answer: 86%

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Sequence has been given as,

[tex]a_n=\frac{n^3+3n}{n^2-6n}[/tex]

[tex]\lim_{n \to \infty}\frac{n^3+3n}{n^2-6n}[/tex]

[tex]=\lim_{n \to \infty}\frac{\frac{n^3+3n}{n^3} }{\frac{n^2-6n}{n^3} }[/tex]

[tex]=\lim_{n \to \infty}\frac{1+\frac{3}{n^2}}{\frac{1}{n}-\frac{6}{n^2} }[/tex]

= ∞

That means with the increase in the value of 'n' sequence gets larger and larger.

Therefore, sequence will diverge.

Option 1 will be the correct option.

Answer:

a-the sequence diverges

Step-by-step explanation:

edg 2023

Answer:

for 1 it is 76,4

Step-by-step explanation:

5X6X8 divided by 3,14 = 76,4

Answer:

C

Step-by-step explanation:

This method is the best because it will survey the customers under one condition : every 10. If the store gets a lot of customers, then this should be easier to do. The rest are mostly dependent on what they do and that influences the survey. However, C makes it so that every 10 people are surveyed.

Answer:

A isnt the correct answer. B doesnt seem reasonable because its one specific item. D means they arent exactly a customer since they didnt buy anything therefore the answer would be C

C is your answer.

not sure about it tho but its what i would put

Answer:

11.4 metres

Step-by-step explanation:

Use Pythagoras theorem for a right-angled triangle

a^2 + b^2 = c^2

if you cut the rectangle in half, it will become a right angled triangle.

a and b are two sides of the rectangle, while c is the diagonal or hypothenuse

so 9^2 + 7^2 = c^2

81 + 49  = c^2

c^ 2 = 130

square root 130 = c

you should get approximately 11.4 metres

Answer:

50-32*8

Step-by-step explanation:

Answer:

50-32<8

Step-by-step explanation: