The remaining number of socks S a store has is modeled
by S(p) = 14 - 2p, where p is the number of pairs of
socks sold.
A. What do S(0) and S(6) represent?

The average rate of change from week 1 to week 4 is 3 animals per week.

It should be noted that a mean simply refers to the average set of numbers that are given.

This will be illustrated as thus:

The total number of rate of change animals from week 1 to week 4 will be:

= (73 - 62) + (78 - 73) + (86 - 78)

= 11 + 5 + 8.

= 24

Therefore, the average will be:

= Total changes / Number of weeks

= 24 / 8.

= 3

Therefore, there's an average of 3 animals added every week.

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The next fraction in the given sequence is 13/18

In this question, we have been given a sequence of fractions.

17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , . . .

We need to determine the next fraction in the given sequence.

We rewrite the fraction 8/9 as,

8/9 = 8 × 2 / 9 × 2

      = 16/18

We rewrite the fraction 5/6 as,

5/6 = 5 × 3 / 6 × 3

      = 15/18

We rewrite the fraction 7/9 as,

7/9 = 7 × 2 / 9 × 2

      = 14/18

This means, the given sequence of fractions is 17/18, 16/18, 15/18, 14/18, ...

From this sequence, the next fraction would be 13/18

Therefore, the next fraction in the given sequence is 13/18

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Missing value of the table is 9.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.

Given Data

Violins

Cellos

8  24

3

Let missing number be x

[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]

When we compare two ratios, they are said to be equivalent.

If two or more ratios have the same value when reduced to their most basic form, they are said to be equal

simplifying, [tex]\frac{8}{24}[/tex]

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

[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]

Missing value of the table is 9.

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Angle #1 = 90 Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 22= 90. Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 8 = 90 . Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 2 =  90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

#17 = 60. Reason:  We have the sum of all interior angles at 180.

180 degrees  = 30+ 90+ #17

so # 17 = 180 - ( 30+90) = 60.

#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

# 19= 90. Reason:  Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#21 = 90.  Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 16 = 60  Reason:  We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180

so # 16 + #27 = 180-90 = 90.

#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.

#27 = 30.

The formula for q will be q = p*logm/(logK - logt)

Logarithm

A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.

Given equation:

[tex]K=tm^{(\frac{p}{q} )}[/tex]

We have to find a formula for q.

Raising the whole equation to the power of q, we get

[tex]K^q=t^qm^{p}[/tex]

We can rewrite it as,

[tex]\frac{K^q}{t^q}=m^p[/tex]

[tex](\frac{K}{t})^q=m^p[/tex]

Operating with logarithm on both sides, we get,

q*log(K/t) = p*logm

q = p*logm/log(K/t) = p*logm/(logK - logt)

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Answer:

28

Step-by-step explanation:

J(x) = 3x^2 + 2x - 5

they have asked us to find J(3), therefore substitute x with 3 throughout the equation.

j(3) = 3*3^2 + 2*3 - 5

J(3) = 3*9 + 6 - 5

J(3) = 27 + 6 - 5
J(3) = 33 - 5 = 28

The value of c in the equation 7c - cy = 10x will give a line with slope +5 is -2.

We can rewrite the equation as:-

-cy = 10x - 7c

y = (-10/c) x + 7

Now the equation is in slope-intercept form which is given by:-

y = mx + b

Where,

m represents the slope of the line

b represents the y-intercept of the line

(x,y) represents ordered pair of each point of the line

Comparing both the equations, we get

m = -10/c

b = 7  

We have to get m = +5

Hence, equating both the values of m, we get

5 = -10/c

c = -10/5

c = -2

Hence, the value of c is -2.

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Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.

Some of my answers are absolutely amazing, and actually helpful. But some of my answers are not.

A lot of the time, Brainly's "Expert Verified Answers" are very incorrect, and even if you report it, Brainly does not care.

So, if Brainly ITSELF can't answer a question properly, well,

Simply put, your grade is toast.

And if Brainly deletes this absolutely wonderful fantastic answer, that just means that they are acknowledging that these "Expert Verified Answers" are not as "expert" as they may think they are.

:|

Answer:

Use the distributive property to solve this.

(3x²-5x+7)(2x²+x-2)

= 6x⁴+3x³-6x²-10x³-5x²+10x+14x²+7x-14

= 6x⁴-7x³+3x²+17x-14

Answer:

Step-by-step explanation:

-588

Answer:

Communitave Property

Step-by-step explanation:

Hope this helps!<3°

Answer:

Step-by-step explanation:

hshshaahhs

The values of interior angle is 63°,  46°,  71°

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."

Put all the values equal to 180°,

=> (2x+5) + (x+17) + (3x-16) = 180°

Now, solve this equation and find x,

=> 6x + 22 - 16 = 180

=> 6x = 180 - 6

=> x = 174 / 6

=> x = 29°

Put x = 29° in the 2x + 5, x + 17, 3x - 16

2x + 15                |   x + 17          |   3x - 16      

2 * 29 + 15          |  29 + 17        |   3 * 29 - 16

63°                      |   46°             |   71°

Therefore, the  values of interior angle is 63°,  46°,  71°

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Answer:

[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]

[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]

Define the given points:

Substitute the defined points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]

[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]

Substitute point (9, 8) and the found slope into the point-slope formula:

[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]

To write the equation of the line in slope-intercept form, rearrange the point-slope formula:

[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]

[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]

[tex]\implies y=\dfrac{1}{3}x+5[/tex]

The number of phone calls on the first evening is 16. The number of phone calls on the second evening is 26. The number of phone calls on the third evening is 32.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Over the last 3 evenings, Maria received a total of 74 phone calls at the call centre. The second evening, she received 10 more calls than the first evening. On the third evening, she received 2 times as many calls as the second evening.

The number of phone calls on the first evening:- x

The  number of phone calls on the second evening:- x + 10

The number of phone calls on the third evening:- 2x

x + x + 10 + 2x = 74

4x = 74 - 10

4x = 64

x = 16

The number of phone calls on the second evening:-

x + 10

16 + 10 = 26

The number of phone calls on the third evening:-

2x = 2 x 16 = 32

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The equivalent fractions shown on the fraction bar is 3/4 and 6/8.

The multiplier is 2.

The equivalent fractions shown on the fraction bar are 4/6 and 12/18.

The divisor is 3.

A fraction is a non whole number that is made up of a numerator and a denominator. The numerator is the number above the line and the denominator or divisor is the number below the line. An example of a fraction is 1/10. 1 is the numerator and 10 is the denominator.

Equivalent fractions are fractions that have different numerators and denominators but when expressed in its simplest form, they are the same fractions. For example, 1/2 and 3/6 are equivalent fractions because when 3/6 is expressed in its simplest form, it is 1/2.

In the first fraction bar given, there are 4 bars and 3 are shaded. Thus, the fraction it represents is 4/6. Likewise in the second fraction bar, 6 are shaded and there are 8 bars.

In the third fraction bar, 12 are shaded and there are a total of 18 bars. The fraction is 12/18. In the fourth fraction bar, 4 are shaded and there are 6 total bars. The fraction is 4/6.

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Answer:

(-5, -3)

Step-by-step explanation:

We can use the fact that the diagonals of a parallelogram bisect each other

Let me classify the points as

A (-4, 7)

B (2, -5)

C (3, 5)

Let us assume the 4th vertex is D(x, y) where x and y have to be determined

We will assume that AB is the diagonal of the parallelogram ABCD

The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates

If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)

We know the other diagonal CD must pass through point O and O is also the midpoint of CD

Therefore if coordinates of D are (x, y)

then  x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==>  - 1 = (3 + x)/2

=> -2 = 3 + x

=>  -2 - 3 = x

=> -5 = x

=> x = -5

Similarly
1 = (5 + y)/2

=> 2 = 5 + y

=> 2 - 5 = y

=> -3 = y

y = -3

So the coordinate of the fourth vertex D are (-3, -5)

Check the attached graphs for a clearer understanding

Answer:

y = √25 - x

y = -√25 - x

Step-by-step explanation:

x + y² = 25

-x                -x

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

y² = -x + 25

√y² = √-x + 25

y = √25 - x

y = -√25 - x

I hope this helps!

Answer:

6 out of 24

Step-by-step explanation:

5+5+6+8 = 24

there are 6 peanut butter cookies

In all there are 24 cookies

Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.

The percentage change is 16%

The initial value is 125.99

It changed to 150

The percentage change can be calculated  as follows

= 150 - 125.99/150 × 100

= 24.01/150 × 100

= 0.16 × 100

= 16%

Hence the percentage change is 16%

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Answer: Is 17 a prime number? Yes, 17 is a prime number because it only has two factors, 1 and 17.

Answer:

70°

Step-by-step explanation:

The sum of the interior angles is 180.  Subtract the 40 that you know about and you have 140.  Since the two sides are equal, the angles opposite them are equal.  140/2 = 70

The nth term in the Fibonacci series is printed at the conclusion of the program.

So, until a condition is satisfied, recursions involve calling a function from within a function.

The necessary function, which uses comments to describe each line, is as follows:

//This defines the function

public static int fibonacci(int n) {

//The function returns -1, if n is negative

if(n<0){

return -1;}

//The function returns the value of n, if n is 0 or 1

if(n==0||n==1){

return n;}

//If otherwise

else{

//The function returns the nth term of the Fibonacci series

return fibonacci(n-1)+fibonacci(n-2);

}

}

Therefore, the nth term in the Fibonacci series is printed at the conclusion of the program.

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The correct question is given below:

The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the fibonacci() method, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1.

Ex: If the input is: 7

the out put is :fibonacci(7) is 13

Note: Use recursion and DO NOT use any loops. // is this mean i don't have to use loops? for (int i = 1; i<= n; ++i)

import java.util.Scanner;

public class LabProgram {

public static int fibonacci(int n) {

/* Type your code here. */

public static void main(String[] args) {

Scanner scnr = new Scanner(System.in);

int startNum;

System.out.println("Enter your number: ");

startNum = scnr.nextInt();

System.out.println("fibonnaci(" + startNum + ") is " + fibonacci(startNum));

}

}

The rate at which the x-coordinate is changing is 3√3 units per second .

In the question ,

it is given that

the equation of the particle moving in the circular orbit is x²+y²=16

given the y coordinate decreases at 3units per second

So, dy/dt = -3.

to find the rate at which the x-coordinate is changing , we will differentiate the given equation.

Differentiating the equation  x²+y²=16 with respect to t , we get

d/dt(x²+y²) = d/dt(16)

2x(dx/dt) + 2y(dy/dt) = 0

2x(dx/dt) =  -2y(dy/dt)

Dividing both sides by 2 ,

we get ,

x(dx/dt) =  -y(dy/dt)

[tex]\frac{dx}{dt} =\frac{-y(\frac{dy}{dt}) }{x}[/tex]

As the particle is passing through the point (2,2√3) , So, the point will satisfy the equation.

Substituting the value of x=2 , y=2√3 and dy/dt= -3 ,

we get ,

dx/dt = ((-2√3)*(-3))/2

= (6√3)/2

= 3√3

Therefore , the rate at which the x-coordinate is changing is 3√3 units per second .

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Answer:

y = (5/2)x + 2

Step-by-step explanation:

(2, 7)

(x₁, y₁)

m = (5/2)

y - y₁ = m(x - x₁)

y - 7 = (5/2)(x - 2)

y - 7 = (5/2)x - 5

   +7              +7

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

y = (5/2)x + 2

I hope this helps!

The appropriate choice of ratio  will be given by

She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.

What is ratio?

Ratio determines the comparision among many quantities with the same unit.

Here,

Let the number of cups of Cranberry juice be 4x,

Number of cups of lemon lime soda be x

Number of cups of orange juice be 2x,

Number of cups of pineapple juice be 2x

Total = 4x + x  + 2x + 2x = 9x cups

By the problem,

                          9x = 27

                            x = [tex]\frac{27}{9}[/tex]

                            x = 3

Number of cups of orange juice = 2 * 3 = 6 cups

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The value of the limit of piece wise function is 2k.

For the given question;

The piece wise function is defined as a;

f(x) = (x² - k²)/(x - k) , x ≠ k

f(x) = 4 - k , x = k

For the value of lim (x → k⁻) f(x);

Use function for  x ≠ k, as the left hand limit of the functions is to be evaluated.

=  lim (x → k⁻) f(x)

Let x = k - h, put in the function.

=  lim (h → 0)  ((k-h)² - k²)/(k - h - k)

= lim (h → 0) h(h - 2k)/-h

=  lim (h → 0) 2k - h

Pu h = 0

= 2k

Thus, the  value of the limit of piece wise function is 2k.

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