Which of the following tables represents a proportional relationship?
Input
Input Output
7
21
35
49
1357
Input Output
5
42
10
75
15
110
20
145
Input Output
18
46
74
102
26
10
14
Input Output
30
4567
37
44
51

Answer: 10 eggs

Step-by-step explanation:

you need to divide 40 by 16 then you multiply that by 4 and you get 10.

Answer:

A is correct.  f(n) = -3n + 24

Step-by-step explanation:

We can see in the first two steps that two meals have been served, and six cups of pet food consumed.  In other words, six cups are consumed in two meals, therefore three cups are consumed in each meal.

If we look at the remaining numbers on the chart, we can see that this carries through.  This tells us that the correct answer must be either a or b, as "-3n" represents the consumption rate.  If it were (1/3)n, then only a third of a cup would be consumed per meal.

Finally, we can figure out which of those two equations is correct simply by plugging a value pair into them.  Starting with a:

f(1) = -3(1) + 24

= 24 - 3

= 21

correct.

To be certain, let's check with answer c:

f(1) = -3(1) + 64

= 64 - 3

= 61

incorrect.

So we can clearly say that the correct answer is "a".  You can plug the other values into it to test that too:

f(3) = -3(3) + 24

= 24 - 9

= 15

correct

So we definitely have the right answer.

Answer:

10p=300+44

Step-by-step explanation:

Answer: 10x = 44 + 300.

Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.

Step-by-step explanation:

70 ÷ 3 = 23  1/3

Answer:

a

Step-by-step explanation:

a

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The population will be 482,720 in 405 years using exponential model that doubles its size every 81 years.

A form of growth known as exponential growth occurs when a quantity's rate of expansion is proportionate to its present value. In other words, the amount increases with time at a faster pace. Several natural and artificial processes, including population expansion, compound interest, and the spread of contagious illnesses, exhibit exponential growth.

The population increases using the exponential model given as:

\(P(t) = P_0 * 2^{(t/x)}\)

Substituting the values P₀ = 15,085 and x = 81.

\(P(405) = 15,085 * 2^{(405/81)}\\P(405) = 15,085 * 2^5\\P(405) = 15,085 * 32\\P(405) = 482,720\)

Hence, the population will be 482,720 in 405 years using exponential model, that doubles its size every 81 years.

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Answer:

c

Step-by-step explanation:

Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.

Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.

Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.

Table:

12 AM                      6  

3 AM                        10

6 AM                        6  

9 AM                        2  

12 PM                       6  

from the general formula of wave

y = A sin(bx + c)

Substituting values in the equation from the graph attached below:

6 = A sin(0*b + c)......(1)

10 = A sin3b + c...(2)

6 = A sin6b + c......(3)

2 = A sin9b +c........(4)

Since -c/b is a phase shift of the graph

Thus

-c/b = 6

c = -6b

from equations 2 and 1

2* 6 = Asin(-3b) = -Asin3b

2 * 6 = Asin(-6b) = -Asin6b

2* 6/6 =sin6b/sin3b

1 = Cos3b

Thus b = π/6

from substitution in equations 3

6 = A sin6b + c

=> 6 = Asin 6* pi/6  + c

=> c = 6

\(\begin{table}[]\begin{tabular}{ll}12 AM & 6 \\3 AM & 10 \\6 AM & 6 \\9 AM & 2 \\12 PM & 6 \end{tabular}\end{table}\)from substitution in equations 2

10 = A sin3b + c

A = 4

therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.

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Answer:

x < 7

Step-by-step explanation:

-8x + 40 > -16

     - 40     -40

-----------------------

-8x     >   -56

----          -----

-8          -8

-----------------

x < 7

[RevyBreeze]  

Step-by-step explanation:

I feel there is important information lost in the way you provided the problem statement.

e.g. "... also equal to ?"

equal to what ?

sin x = what ?

so, I can only guess some things.

answer C is definitely correct for any angle up to 180 degrees.

answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).

answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).

answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.

answer E is also always wrong, as these 45 degrees difference also block equal values.

Answer:

10

Step-by-step explanation:

it is the middle value after you have put the numbers in numerical order

Answer:

d

Step-by-step explanation:

you can notice that the image of 0 using y = 3x-8 is -8 wich what we see on the graph

you can also notice that the image of 2.6 is 0 wich is what we see on the graph

Answer:

D

Step-by-step explanation:

We can't really see any clear points apart from (0,8). That is why we will reason through the problem. We see that the y intercept is (0,8). Our equation needs to have -8 after the xs. That eliminates option A.

If we look at the second equation and we will put in x = 2, then y = -4. We can see that y isnť -4 on the graph though. We can eliminate B.

If we look at the second equation and we will put in x = 2, then y = -6. We can see that y isnť -6 on the graph though. We can eliminate C.

Only option remaining is D.

Answer:22

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be chickens and y be cows

x+y=15

x=15-y

2x+4y=44, using x=15-y

2(15-y)+4y=44

30-2y+4y=44

2y+30=44

2y=14

y=7, since x=15-y

x=8

So there are 8 chickens and 7 cows.

Answer:

Valerie can cut 13 2/3 ft pieces.

Step-by-step explanation:

Please brainliest!

Answer:

a. negative eight times a number, the product of a number and negative eight

b. one less than a number, a number minus one

c. four less than the quotient of a number and two, half of a number minus four

d. nine more than the product of five and a number, five times a number plus nine

lemme know if this was a help :P

Step-by-step explanation:

Answer:

option no (C) is correct

Step-by-step explanation:

Answer:

Without knowing the number of pieces that the pizzas were cut into, it is not possible to determine the fraction of a whole pizza that is left.

Step-by-step explanation:

the total area of the two triangles as shwon in the image is 70 in²

Area can be defined as the total portion occuppied by a plane fiqure.

To calculate the total area of the two triangles, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Similarly,

Where:

Substitute these values into equation 2

Therefore, the total area of the two triangles is 40+30 = 70 in².

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Answer:

x=124

y=124

Step-by-step explanation:

if the number next to x is 56

180-56=124

x=124

and x=y

if that is the whole question

Answer:

y= 48

Step-by-step explanation:

X was doubled so i believe this is correct

Have a great day!!!

By evaluating the function related to the second derivative f''(x) = - 25 · sin 5x is equal to f(π / 5) = (14π - 50) / 25.

In this question we find the definition of the second derivative of a function, this function must be found by integrals and initial values. First, write the entire function:

f''(x) = - 25 · sin 5x

Second, determine the first derivative:

f'(x) = (1 / 5) · cos 5x + C₁

f(0) = (1 / 5) · cos 0 + C₁

3 = 1 / 5 + C₁

C₁ = 14 / 5

f'(x) = (1 / 5) · cos 5x + 14 / 5

Third, determine the function:

f(x) = (1 / 25) · sin 5x + (14 / 5) · x + C₂

f(0) = (1 / 25) · sin 0 + (14 / 5) · 0 + C₂

- 2 = (1 / 25) · sin 0 + (14 / 5) · 0 + C₂

- 2 = C₂

f(x) = (1 / 25) · sin 5x + (14 / 5) · x - 2

Fourth, evaluate the function:

f(π / 5) = (1 / 25) · sin π + (14 / 5) · (π / 5) - 2

f(π / 5) = 14π / 25 - 2

f(π / 5) = (14π - 50) / 25

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The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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The expression (7x - 4) - (2 - 1/2x) simplifies to 3/2 is equivalent to 11/2x + 6. A.

To simplify the expression (7x - 4) - (2 - 1/2x), we can remove the parentheses and combine like terms.

(7x - 4) - (2 - 1/2x) = 7x - 4 - 2 + 1/2x

Now, let's combine the like terms:

= 7x + 1/2x - 6

To add the terms with the same variable, we need to have a common denominator.

The common denominator for x and 1/2x is 2x.

= (14x + x) / (2x) - 6

= (15x) / (2x) - 6

= 15/2 - 6

= (15 - 12) / 2

= 3/2

The brackets and merge related words in order to make the statement (7x - 4) - (2 - 1/2x) simpler.

(7x - 4) - (2 - 1/2x) = 7x - 4 - 2 + 1/2x

Let's now mix similar terms:

= 7x + 1/2x - 6

We need a common denominator so that we may sum the words that share the same variable.

2x serves as the common denominator for x and 1/2x.

= (14x + x) / (2x) - 6

= (15x) / (2x) - 6

= 15/2 - 6

= (15 - 12) / 2

= 3/2

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Answer:

0.15 or 15%

Step-by-step explanation:

If the price of a stock rose 3/4 on a point, it means that 1x became 1,75x (x + 3/4x). X is the price of the stock here.

To calculate how much the price went up each day on average, we will create exponential equation.

x = price of the stock

y = average daily change

\(x*y^{4} =1.75x\)  divide by x

\(y^{4} = 1.75\)

We will calculate it using logarithms.

y = 1.15016, rounded to 1.15

We see that the stock goes up 0.15 points every day.If we multiply it by 100%, we get 15%

Answer:

y=3/2x+1   0,1  2,4  4,7

Step-by-step explanation:

-3x+2y=2

+3x

2y=3x+2

/2    /2    /2

y=3/2x+1

Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

Answer: $2.50

$10.00 per 4 liters

10/4=2.5

I hope this is good enough:

Answer:  because i just want points and 1 +2= 3

Step-by-step explanation: because  if u add 2 with 1 u will get 3

Answer:

724.0915

Step-by-step explanation:

multiply 899.99 and 8.5 you get 724.0915

hope this helps