c. If the following number are in ascending order and its median is 15, find the value of x. 8,10,12,x-1,18,20,22​

Answer:

B

Step-by-step explanation:

B because the graph doesn't show a liner line

but im not really sure nout it tho

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

\(a_{n}=\frac{n}{2}[2a+(n-1)d]\)

Compute the value of f (11) as follows:

\(f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]\)

        \(=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360\)

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

The correct option A. Perfect Square Trinomial, is obtained when a square of a binomial is factored.

Now as per the stated condition in question;

Consider a binomial; (a + b)

Square of the binomial;

(a + b)² = a² + b² + 2ab

So, the result comes is Perfect Square Trinomial,

Perfect Square Trinomial: A perfect square trinomial is an algebraic expression formed by squaring a binomial representation. It has the formula ax² + bx + c.

Here, a, b, and c are all real numbers, and a is not zero.

Therefore, square of a binomial when factored gives the perfect square trinomial.

To know more about binomial, here

https://brainly.com/question/13861565

#SPJ9

The correct question is-

Which of the following will result to a square of a binomial when factored?

A. Perfect Square Trinomial

C. Sum of Two Cubes

B. General Quadratic Trinomial

D. Difference of Two Squares

Answer:

11

Step-by-step explanation:

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:14

Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)

Answer:

D

Step-by-step explanation:

you need to divide by 2. And you need to simplify a fraction.

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

-5 + -1a + -8b = 0

Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:

The expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).

As per the question, we can write the expression as:

(t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9)

Using product notation, we can write this as:

Π⁷k =1 \((t^k - 9)\)

where Π represents the product of terms, k is the index of the product, and the subscript 7 indicates that the product runs from k = 1 to k = 7.

Therefore, the expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).

Learn more about Expressions here:

brainly.com/question/21751419

#SPJ4

The quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

To determine which function best models the given data, we will analyze the options and evaluate their fit based on the information provided.

\(Option a: y = -x^2 + 20x + 40Option b: y = -2x^2 + 20x + 60Option c: y = x^2 + 20x + 60Option d: y = -x^2 + 20x + 60\)

We will compare the options based on their general form and characteristics to see which one aligns best with the given data.

1. Quadratic form: All the options are quadratic functions in standard form, y = ax^2 + bx + c, which is suitable for modeling a parabolic relationship.

2. Coefficients: Let's compare the coefficients a, b, and c for each option:

  Option a: a = -1, b = 20, c = 40

  Option b: a = -2, b = 20, c = 60

  Option c: a = 1, b = 20, c = 60

  Option d: a = -1, b = 20, c = 60

  Among these options, we notice that options a, b, and d share the same coefficient values for a and b, while option c has a different value for a. Since the coefficients a and b are the same for options a, b, and d, we will focus on those.

3. Vertex and concavity: The vertex of a quadratic function in standard form is given by (-b/2a, f(-b/2a)), where f(x) represents the function. The concavity of the parabola can be determined by the sign of the coefficient a.

  For options a, b, and d, the vertex is (10, f(10)) since b = 20 and a = -1 for these options.

  Option a: Vertex (10, f(10))

  Option b: Vertex (10, f(10))

  Option d: Vertex (10, f(10))

  Since the coefficient a is negative in all three options, the parabolas will have a downward-facing concavity.

4. Evaluation: Based on the above analysis, we can conclude that options a, b, and d have similar characteristics and share the same vertex at (10, f(10)). However, option c differs from the others in terms of its coefficient a and does not match the given data as closely.

Therefore, the quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

Learn more about quadratic functions:

brainly.com/question/31614217

#SPJ11

The best function that models the given data is y = -x^2 + 20x + 60.

The best function that models the given data of the number of visitors in the park requiring first aid during the heat wave is option d. \(y = -x^2 + 20x + 60\).
To determine the best function, we need to consider the characteristics of the scatter plot. The function that models the data should exhibit a downward-opening parabolic shape because the number of visitors requiring first aid decreases as the number of visitors increases.

Looking at the options, we can see that option d is the only one that represents a downward-opening parabola. The negative coefficient of \(x^2\)(-1) ensures that the parabola opens downwards.
The coefficient of x in option d (+20) indicates that the parabola is shifted 20 units to the right. This makes sense because as the number of visitors increases, the number requiring first aid also increases, indicating that the peak of the parabola occurs at a higher number of visitors.
The constant term (+60) represents the y-intercept, which is the value of y when x is 0. In this case, it represents the initial number of visitors requiring first aid.

Learn more about parabola from the given link:

https://brainly.com/question/64712

#SPJ11

For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6

Hence, 6 sq. ft. carpet will be needed

Answer:

I would say A

Answer:

Step-by-step explanation:

It is anything but A. There is too much money floating around to maintain its value or buying power. The Federal Reserve just keeps on printing more. The net effect is that your money is worth less because there is more of it.

B: Our problem is that money does not remain constant. The answer cannot be B

C: is the answer. That is exactly what is happening today.

The percent difference in the final unit cost of the two given items is equal to 33.33%  approximately.

To find the percent difference in the final unit cost of the two items,

Calculate the unit cost for each item and then find the percent difference.

For the first company,

Cost of 4 spools = $500

Cost of 1 spool = $500 / 4

                         = $125

Unit cost for the first company

= $125 / 250 feet

= $0.5 per foot

For the second company,

Cost of 6 spools = $800

Cost of 1 spool

= $800 / 6

= $133.33 (rounded to 2 decimal places)

Unit cost for the second company

= $133.33 / 400 feet

= $0.33333 (rounded to 5 decimal places) per foot

Now, let's calculate the percent difference,

Percent difference = (|New Value - Old Value| / Old Value) × 100

For the unit cost,

Percent difference = (|$0.33333 - $0.5| / $0.5) × 100

⇒Percent difference = (|$0.16667| / $0.5) × 100

⇒Percent difference = ($0.16667 / $0.5) ×100

⇒Percent difference = 0.33334 × 100

⇒Percent difference ≈ 33.33%

Therefore, the approximate percent difference in the final unit cost of the two items is about 33.33%.

Learn more about cost here

brainly.com/question/30143357

#SPJ4

To find the percentage difference between two companies selling ropes, one with 250-foot spools and another with 400-foot spools. The cost for four spools of the first company is $500 and the cost of six spools of the second company is $800.

The cost per unit of the first company is $500 / 4 spools

= $125 per 250-foot spool.

The cost per unit of the second company is $800 / 6 spools

= $133.33 per 400-foot spool.

To determine the percentage difference in the final unit cost of the two items, we must find the difference between their costs per unit.

The difference is $133.33 - $125

                                = $8.33.

The percent difference is calculated using the following formula:

Percent difference = (Difference / Average) x 100

Where average = (133.33 + 125) / 2

                          = $129.17

Percent difference = (8.33 / 129.17) x 100

                                           = 6.45%

Therefore, the percentage difference in the final unit cost of the two items is approximately 6.45%.

Learn more about unit cost from the given link:

https://brainly.com/question/29355214

#SPJ11

The probability that the sample mean will be larger than 76 years is 0.1587.

What is the standard deviation?

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Here, we have

standard deviation = 75

years = 7

Then, we have to calculate the probability of  49 individuals is selected and the sample mean will be larger than 76 years.

P(x>76) = P(z> (76 - 75/1))

P(x>76) = P(z>1) = 1 - P(z≤1)

P(x>76) = 1 - 0.8413

P(x>76) = 0.1587

Hence, the probability that the sample mean will be larger than 76 years is 0.1587.

To learn more about the standard deviation from the given link

https://brainly.com/question/26941429

#SPJ4

We are given two figure, i) Cube, ii) rectangular box

The volume of any shape is calculated by multiplying height, width, length.

Volume = height x length x width

In the case of a cube, all the dimensions are the same. So volume would be = length x length x length

here, length = 6

So,

V(cube) = 6^3

For a rectangular box:

V(rect) = height x length x width

V(rect) = h x 12 x 6

As given, V(cube) = V(rect). Therefore,

6^3 = h x 12 x 6

Hence, the first option is correct.

Answer:

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 5000}}{\left( \cfrac{16}{100} \right)5000}\implies 800\)

Answer:

214 ºF is the lowest temperature

Step-by-step explanation:

Temperature range of six degrees above or below 220°F:

This means that it should be brewed properfly between

220 - 6 = 214 ºF

and

220 + 6 = 226 ºF

214 ºF is the lowest temperature

226 ºF is the highest temperature.

The required length of each piece is 18 inches.

How to find HCF?

The highest common factor (HCF) is found by listing all the common factors of two numbers and choosing the highest one. The required length of each piece is 18 inches.

Given that,

Length of red ribbon spool = 22,608 in

Length of blue ribbon spool = 10,206

To find the required length of each piece we should find the highest common factor (HCF) of the length of a piece of both ribbons.

22, 608 = 1,2,3,4,5,6,8,9,12,16,18,24,36,48,72 .....

10,206 = 1,2,3,6,7,9,14,18,21,27,42,54,63 .......

Common factors are 1,2,3,6,9,18

Therefore, HCF = 18

Hence, the required length of each piece is 18 inches.

To learn more about HCF, refer to:

https://brainly.com/question/19189930

#SPJ4

(a) (Q ∧ ¬P) → (P → ¬Q) is neither a tautology nor a contradiction. The truth table for (a) is shown below.

| P   | Q   | ¬P  | Q ∧ ¬P | P → ¬Q | Q ∧ ¬P → P → ¬Q |
| --- | --- | --- | ------ | ------ | ---------------- |
| T   | T   | F   | F      | F      | T                |
| T   | F   | F   | F      | T      | T                |
| F   | T   | T   | T      | T      | T                |
| F   | F   | T   | F      | T      | T                |

(b) ((P ∧ R) ∨ (Q ∧ ¬P)) ∧ ¬(Q ∧ R) is neither a tautology nor a contradiction. The truth table for (b) is shown below.

| P   | Q   | R   | ¬P  | Q ∧ ¬P | P ∧ R | (P ∧ R) ∨ (Q ∧ ¬P) | Q ∧ R | ¬(Q ∧ R) | ((P ∧ R) ∨ (Q ∧ ¬P)) ∧ ¬(Q ∧ R) |
| --- | --- | --- | --- | ------ | ----- | ----------------- | ----- | -------- | --------------------------------- |
| T   | T   | T   | F   | T      | T     | T                 | T     | F        | F                                 |
| T   | T   | F   | F   | F      | F     | F                 | F     | T        | F                                 |
| T   | F   | T   | F   | F      | T     | T                 | F     | T        | F                                 |
| T   | F   | F   | F   | F      | F     | F                 | F     | T        | F                                 |
| F   | T   | T   | T   | T      | F     | T                 | T     | F        | F                                 |
| F   | T   | F   | T   | T      | F     | T                 | F     | T        | F                                 |
| F   | F   | T   | T   | F      | F     | F                 | F     | T        | F                                 |
| F   | F   | F   | T   | F      | F     | F                 | F     | T        | F                                 |

In (a), we use a truth table to test if the given statement is a tautology, contradiction, or neither. By analyzing the truth table, we can see that the statement is neither a tautology nor a contradiction since there are both true and false values in the column that gives the output of the statement.In (b), we also use a truth table to test if the given statement is a tautology, contradiction, or neither. By analyzing the truth table, we can see that the statement is neither a tautology nor a contradiction since there are both true and false values in the column that gives the output of the statement.

Know more about tautology here:

https://brainly.com/question/29494426

#SPJ11

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-4) / 13 - (-5)

9 / 18

1/2

y = 1/2x + b

-4 = 1/2(-5) + b

-4 = -5/2 + b

-3/2 = b

Let's check

So

Hence he is wrong

The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:

<

Step-by-step explanation:

Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

The possible values of b are 4 and 5

The conditions are given as:

So, we start by converting 197 to base 2 and above.

This is done as follows:

197 to base 2

2 | 197

    98 R 1

    49 R 0

    24 R 1

    12 R 0

    6 R 0

    3 R 0

    1 R 1

    0 R 1

So, we have:

197 = 11000101 in base 2

11000101 has more than 4 digits.

This means that b cannot be 2

Using the above method of conversion, we have:

See that as the base increases, the number of digits decreases.

The numbers in base 4 and 5 have 4 digits.

Hence, the possible values of b are 4 and 5

Read more about base conversions at:

https://brainly.com/question/17946394

#SPJ4

Answer:

x = -5 and x = 1

Step-by-step explanation:

4( x2 + 4x + 4 ) = 36

4x2 + 16x + 16 = 36

4x2 + 16x - 20 = 0

x2 + 4x - 5 = 0

Answer:

C. x = -5, and x = 1

Step-by-step explanation:

You have the equation 4(x + 2)2 = 36

You then isolate 4 out of the equation using division on both sides

You are left with (x+2)2 = 9

Next, take square roots

\(\sqrt({x} +2) ^{2}\) = \(\sqrt{9}\)

This leaves you with x + 2 ± 9

So, x = -2 + 3 = 1

or

x = -2 - 3 = -5

The human understanding of the cosmos beyond Earth has grown after inventing specialized equipment such as x-ray telescopes.

X-ray telescope, a device made to find and focus X-rays from sources beyond the atmosphere of Earth.

Some key features regarding the x-ray telescope are-

To know more about x-ray telescope, here

https://brainly.com/question/14683213

#SPJ4

Answer:

N = 11

Step-by-step explanation:

\(6n - 4 = 5n + 7 \\ 6n - 5n = 7 + 4 \\ n = 11\)

Answer:

\(n = 11\)

Step-by-step explanation:

First let's write our equation

\(6n - 4 = 5n + 7\)

This due to Vertical angles

Subtract 5n from both sides

\(n - 4 = 7\)

Add four to both sides

\(n = 11\)

Would be our answer

Brainliest please

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

\(x = \frac{9}{13} \ , \ y = - \frac{5}{13}\)

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                \(y = \frac{15}{-39} = -\frac{5}{13}\)

Substitute y in ( 1 ) :

                     \(3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}\)