if twice the opposite of a number us increased by 5, the result is the opposite of the number. What is the number?

patternpatternGreat!

The patteren is 1, 4, 9, 16,...

All these numbers are square numbers, which means

1 * 1 = 1

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

That means

1st term = 1^2

2nd term = 2^2

3rd term = 3^2

4th term = 4^2

so

nth term = n^2

The conjecture is

The pattern is 100%, 93%, 86%, ...........

Since 93% - 100% = -7%

Since 86% - 93% = -7%

Then this pattern is decreases by 7%

So it is an arithmetic sequence

Its rule is:

Where a is the first term

d is the constant difference

n is the position of the number

Since a = 100%

Since d = -7%

Let us substitute these values in the rule

Simplify it

an = 100% + (n)(-7%) + (-1)(-7%)

an = 100% + (-7n%) + (7%)

Add the like terms

an = (100% + 7%) - 7n%

an = 107% - 7n%

Let us check the rule

What is the 3rd term

n = 3

a3 = 107% - 7(3)%

a3 = 107% - 21%

a3 = 86% which is true

Answer:

Width of walkway = 3.71625 feet

Step-by-step explanation:

Let the width of the walkway be w. Then the length of entire area of the pool including the walkway is 32 + 2w and the breadth of the entire walkway is 16 + 2w since there is a width of w on both sides of length and breadth

Total Area of pool with pathway
(16+ 2w)(32+2w) = 924

Using the FOIL method we can expand the term on the left as follows:
= \(\sf 16\cdot \:32+16\cdot \:2w+2w\cdot \:32+2w\cdot \:2w\)

= \(\sf 512+96w+4w^2\)

Rearrange terms to get
\(\sf 4w^2 + 96w + 512\)

So we get
\(\sf 4w^2 + 96w + 512 = 924\)

Subtract 924 from both sides
\(\sf 4w^2 + 96w + 512 - 924 = 0\)

==> \(\sf 4w^2 + 96w -412 = 0\)

This is a quadratic equation of the form \(\sf ax^2 + bx + c\) whose roots(solutions) are
\(\displaystyle \sf x_{1,\:2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Here a = 4, b = 96 and c = -412

Plugging in these values we get
\(\sf w_{1,\:2}=\dfrac{-96\pm \sqrt{96^2-4\cdot \:4\left(-412\right)}}{2\cdot \:4}\)

\(\sf \sqrt{96^2-4\cdot \:4\left(-412\right)}\\\\ = \sqrt{96^2+4\cdot \:4\cdot \:412} \\\\= \sqrt{96^2+6592} \\\\= \sqrt{9216+6592} \\\\= \sqrt{15808} = 125.73\\\\\)

So
\(w_{1,\:2}=\dfrac{-96\pm \:125.73}{2\cdot \:4}\)

\(w_1=\dfrac{-96+125.73}{2\cdot \:4},\:w_2=\dfrac{-96-125.73}{2\cdot \:4}\)

We can ignore w₂ since it is a negative value

So
\(\sf w = \dfrac{-96 + 125.73}{8} = 3.71625\; feet\)

\(\boxed{ \mathsf{Width\; of\; walkway = 3.71625\;feet}}\)

Step-by-step explanation:

if X = 1

then f(x)=2×1-8 = 6

I'm not sure

The person who runs fastest is Zach.

Ron runs 9 feet per second: 9 ft/s

Zach runs 410 feet in 49 seconds:

410/49 ft/s

=8.36 ft/s

= 8.4 ft/s (Approximately)

Katie runs 1 mile in 412 seconds:

1 mile = 5280 ft

5280/412 ft/s

=12.8 ft/s

Noah  runs 870 feet in 1 minute:  

= 870/60 ft/s

= 14.5 ft/s

Hence,

Ron 9 feet per seconds

Zach 8.4 feet per seconds

Katie  12.8 feet per seconds

Noah 14.5 feet per seconds

So, Zach is the fastest.

Therefore the fastest is Zach.

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To find the solution of the system of linear equations represented by the given augmented matrix,

we need to perform row operations to transform the matrix into row echelon form or reduced row echelon form.

Starting with the given matrix: 1 2 5 -10 , 2 -2 4 -8
0 1 -3 14, We can begin by using row operations to create zeros below the first pivot element (1) in the first column. We can achieve this by subtracting twice the first row from the second row: 1 2 5 -10 0 -6 -6 12
0 1 -3 14 ,

Next, we can use row operations to create a zero below the pivot element (−6) in the second row and second column. We can achieve this by adding 6 times the second row to the third row: 1 2 5 -10 , 0 -6 -6 12
0 0 -21 86 . Now, the matrix is in row echelon form.

To find the solution, we can work backwards and use back substitution.
From the third row, we can see that: -21z = 86 , Solving for z, we get: z = -86/21 , Substituting this value of z into the second row, we get:  -6y - 6(-86/21) = 12 , Solving for y, we get:  y = -2/7 ,

Finally, substituting the values of y and z into the first row, we get:  x + 2(-2/7) + 5(-86/21) = -10 , Solving for x, we get: x = 2/7 , Therefore, the solution of the system of linear equations represented by the given augmented matrix is: x = 2/7, y = -2/7, z = -86/21.

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Answer:

x-intercept: x=-8+2y

y-intercept: y=4+\(\frac{1}{2}x\)

Coordinate pairs: (-8,0) , (0,4)

Step-by-step explanation:

Answer:

You will be able to spend your money for a total of 16 days.

Step-by-step explanation:

Total money won: $48

Since you are starting off with $48, divide the amount of money you will be using each day. 48 divided by 3 is equal to 16.

The probability of rolling two dice and getting a sum of 8 is 5/36.

There are a total of 36 possible outcomes when two dice are rolled at the same time. Each die has 6 possible outcomes (1, 2, 3, 4, 5, or 6). To calculate the probability of getting a sum of 8, we need to count the number of ways that the dice can add up to 8.

There are five possible combinations that add up to 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Each of these combinations has a probability of 1/36 (since there is only one way to roll each of these combinations).

Therefore, the probability of rolling two dice and getting a sum of 8 is the sum of the probabilities of each of these five outcomes, which is:

1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 5/36

So the probability of the numbers facing up and adding up to 8 is 5/36.

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Answer:

The "first step" is the multiplication of 4 and 87

Step-by-step explanation:

I'll assume that you actually meant 4y + 97.  If you substitute 87 for y, you get 4(87) + 97.  The "first step" is the multiplication of 4 and 87:

348 + 97, or

445

Answer:

it would be 0 or 22 grams

Step-by-step explanation:

Answer:

none of the radioactivity

Step-by-step explanation:

its kind of hard to explain but if 11 x 2=22 then by 11 days half of it will be gon within 22 there would be no radioactivity left in the radium

Answer:

1025

Step-by-step explanation:

Input of 1 gave output of 30

Input of 2 gave output of 35

Input of 3 gave output of 40

Input of 4 gave output of 45

Now, it's clear that the input increases by 1 while the output increases by 5 for each added value of 1 to the input.

Thus, for an input of 200,the total increase will be; (200 - 1) × 5 = 995

To get the output at 200, we just add the total increase of 995 to the first output which is 30.

Thus;

Input of 200 gives output of; 30 + 995 = 1025

Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

a rhombus is a parallelogram with a pair of opposite equal acute angles, a pair of opposite equal obtuse angles, and four equal sides.

in other words, it is a parallelogram with 4 equal sides, including a square as a special case.

the diagonal intersection point is the midpoint of both diagonals.

the diagonals intersect each other at a right angle (90°).

and they split each vertex angle in half.

so, they split the whole rhombus into 4 equal right-angled triangles.

and remember, the sum of all angles in a triangle is always 180°.

an "obtuse" angle means an angle larger than 90°.

an "acute" angle means an angle smaller than 90°.

because of all that, in the triangle PKE the angle K must be greater than 45° (90/2 = 45), so that the rhombus angle K can be "obtuse", as it must be twice the triangle angle K.

the triangle angle E is 90°.

so, the 16° must be triangle angle P.

and the triangle angle K is then

triangle angle K = 180 - 90 - 16 = 74°.

so, rhombus angle K = rhombus angle N = 2×74 = 148°

and triangle PMN angle N = 74°.

triangle PMN angle M = triangle PMN angle P = 16°.

Answer:

its B

Step-by-step explanation:

Each doubling represents a multiplication by 2, so after 6 doublings the number of cells will be 96,000 cells.

This is an example of exponential growth, where the number of cells increases at an increasing rate over time. Exponential growth is often seen in biological systems such as population growth, cell division, and disease spread.

If the cells double six times, it means that they multiply by 2^6 or 64. Therefore, the number of cells at 2 pm will be 1,500 x 64 = 96,000 cells.

To understand this, consider that after the first doubling, you will have 1,500 x 2 = 3,000 cells. After the second doubling, you will have 3,000 x 2 = 6,000 cells. You can continue doubling six times until you reach 96,000 cells.

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Answer:

ask your mom

Step-by-step explanation:

its easy man

Answer: x=14

Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.

The using matrix operations the score in the track meet is Team 1: 25 points, Team 2: 15 points.

To determine the score in the track meet using matrix operations a matrix representing the points awarded for each event and perform matrix operations to calculate the total score for each team.

The three individual events and one relay event in the track meet.

First, create a matrix A representing the points awarded for individual events:

A =

5 3 1

5 3 1

The first row of matrix A represents the points awarded for the first-place finish in each event, the second row represents the points awarded for the second-place finish, and the third row represents the points awarded for the third-place finish.

Next, create a matrix B representing the points awarded for the relay event:

B =

5

0

The first row of matrix B represents the points awarded for the first-place finish in the relay event, and the second row represents the points awarded for the second-place finish (which is 0 points).

A matrix C representing the scores for each team in each event:

C =

c1

c2

Here, c1 represents the score for the first team, and c2 represents the score for the second team.

To calculate the total scores for each team, matrix multiplication:

C = A × B

Performing the matrix multiplication:

C =

55 + 30 + 10

50 + 35 + 10

Simplifying the calculations:

C =

25

15

The resulting matrix C represents the total scores for each team in the track meet. From the matrix, that the first team has a score of 25 points, and the second team has a score of 15 points.

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Answer:

73

Step-by-step explanation:

Based on the given conditions, formulate: 20+50+15-12

Calculate the sum or difference:70+15-12

Calculate the sum or difference:85-12

Calculate the sum or difference:73

get the result:73

Answer:

50 - 15 = 35

35 + 20 = 55

Total amount of feet diven : 55 feet

The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.

To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:

WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n

Where, WMA is the weighted moving average

W1, W2, ..., Wn are the weights (must sum to 1)

Yt-n is the demand in the n-th period before the current period

As we know Month 1 – 381, Month 2-366, and Month 3 - 348.

Weights: 0.3, 2, 0.5

We'll compute the forecast for the next period (month 4) using the data:

WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA

= 0.3(381) + 2(366) + 0.5(348)WMA

= 114.3 + 732 + 174WMA

= 1020.3

Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.

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The answer provided illustrates the concept of implied and express warranties, unilateral and bilateral contracts, voidable and void contracts, and executory consideration. It also provides number of  examples of each of these concepts.

1. O fit for the ordinary purpose for which such goods are used.

2. A enforce the contract against Olive.

3. C An express warranty must be in writing and signed by the parties.

4. C supported by consideration.

5. O is void.

6. C enforceable.

7. O is a rejection and counteroffer.

8. O A promise to do something in the present in exchange for something else in the future.

9. A An offer to pay a reward for the return of lost property.

10. C An offer to do something in the future in exchange for something else in the present.

The answer provided illustrates the concept of implied and express warranties, unilateral and bilateral contracts, voidable and void contracts, and executory consideration. It also provides number of examples of each of these concepts.

The complete question is :

Question 1 (1 point) Home Remodelers, Inc., and Imogen enter into a contract for a sale of cabinets and countertops. Home Remodelers merchant who deals in goods of the kind sold, notes that its goods come with an implied Under the UCC, this means that the goods are reasonably warranty of merchantabilit fit for the buyer's particular purpose. O fit for the ordinary purpose for which such goods are used. O suitable for resale at an acceptable price. C the best quality that money can buy Save Question 2 (1 point) Olive, an agent for Precision Paving Corporation, enters into an unauthorized contract with Quality Asphalt, Inc. Quality Asphalt may, at its option, A enforce the contract against Olive. O enforce the contract against Precision Paving. C void the contract. Save Question 3 (1 point) Which of the following statements about an express warranty is true? A An express warranty does not need to be in writing. O An express warranty does not need to be signed by the parties. C An express warranty must be in writing and signed by the parties. Save Question 4 (1 point) In order to be enforceable, a contract must be A fair and equitable to both parties. O signed by both parties. C supported by consideration. Save Question 5 (1 point) A contract that is void because of a mistake by one of the parties O is voidable. A is void. C is still enforceable. Save Question 6 (1 point) A contract between two individuals is generally A voidable. O void. C enforceable. Save Question 7 (1 point) Phil makes an offer to sell a house to Sally for $200,000. Sally responds by saying that she will buy the house for $200,000, but wants to add a condition that the house must pass an inspection. This response A is an acceptance of the offer. O is a rejection and counteroffer. C is a condition of acceptance. Save Question 8 (1 point) Which of the following is an example of Executory consideration? A A promise to do something in the future in exchange for something else in the present. O A promise to do something in the present in exchange for something else in the future. C A promise to do something in the future in exchange for something else in the future. Save Question 9 (1 point) Which of the following is an example of a unilateral contract? A An offer to pay a reward for the return of lost property. O An offer to do something in the present in exchange for something else in the future. C An offer to do something in the future in exchange for something else in the present. Save Question 10 (1 point) Which of the following is an example of an implied contract? A An offer to pay a reward for the return of lost property. O An offer to do something in the present in exchange for something else in the future. C An offer to do something in the future in exchange for something else in the present. Save

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write the given equation in a standard form

3x + 4y = 6

4y = 6 - 3x

4y = - 3x + 6

divided by 4 in both sides

y = - 4/3x + 3/2

standard form of a linear equation is

y = mx +c

therefore m for gradient is -4/3

the product of the gradient of the lines that are perpendicular to each other is -1

- 4/3 × mx = -1

mx = 3/4

y = mx + c

-5 = 3/4(2) + c

-5 = 3/2 + c

c = -13/2

therefore your equation is

y = 3/4x - 13/2

The length of the top surface is given by h(x) = 11x + 1.

Area is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is given by:

A = length * width

Let h(x) represent the width, hence:

66x² + 17x + 1 = (6x + 1)(11x + 1)

Since the width is g(x) = 6x + 1, hence the length = 11x + 1

The length of the top surface is given by h(x) = 11x + 1.

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The recursive equation that represents this situation in the bowling alley is f(n) = 2.75 + 4.75n .

The cost of each game = $4.75

Number of games played = n

Total cost of n number of games played = 4.75n

Cost of shoe rental =$2.75

Total cost for n games = 2.75 + 4.75n

Recursive equation : f(n) = 2.75 + 4.75n

Any combination of the terms that came before it equals the nth term in a string of integers, according to a recurrence relation equation. For a parameter k that is independent of n, only k prior terms of the sequence normally appear in the equation; this number k is referred to as the order of the relation.

If the first k numbers in a sequence have values, the remaining numbers can be calculated by repeatedly applying the equation.

A linear recurrence's nth term is a linear function of the first k terms. The recurrence of the Fibonacci numbers is one prominent illustration.

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False.

In linear regression, the link function is not used to link the mean of the dependent variable to the linear term.

The link function is used in generalized linear models (GLMs), which extends linear regression to handle different types of response variables with non-normal distributions.

In linear regression, the relationship between the dependent variable and the independent variables is assumed to be linear, and the aim is to find the best-fitting line that minimizes the sum of squared residuals. The mean of the dependent variable is directly related to the linear combination of the independent variables, without the need for a link function.

In generalized linear models (GLMs), on the other hand, the link function is used to establish a relationship between the linear predictor (the linear combination of the independent variables) and the mean of the response variable. The link function introduces a non-linear transformation that allows for modeling different types of response variables, such as binary, count, or continuous data, with non-normal distributions. Examples of link functions include the logit, probit, and identity functions, among others.

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Answer:

∠ C = 70°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles to obtain ∠ C , that is

∠ C = 180° - (70 + 40)° = 180° - 110° = 70°

Answer:

40cm²

Step-by-step explanation:

\(Solution,\\Here,\\\\Height(h)=5cm\\\\Base(b)=8cm\\\\Now,\\\\Area=base*height\\\\Area=8cm*5cm\\\\Area=40cm^{2}\)

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Height of the Parallelogram is 5 cm . Its Base is given as 8 cm . And, we have been asked to calculate the Area of Parallelogram .

For calculating the Area , we will use the Formula :-

\( \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} \)

Therefore , by Substituting the given values in the above Formula :-

\( \dag \: \: \: \sf {Area \: _{Parallelogram} \: = \: Base \: \times \: Height} \)

\( \longmapsto \: \: \sf {Area \: _{Parallelogram} \: = \: 8 \: \times \: 5} \)

\( \longmapsto \: \: \bf {Area \: _{Parallelogram} \: = \: 40} \)

Hence :-

\( \underline {\rule {180pt} {4pt}} \)

Answer:

The answer to your problem is, A. Larger

Step-by-step explanation:

First in order to know to the answer lets learn about different types of fractions:

For example, 1/4, 3/4, 3/8, are all proper fractions.

4/3, 5/2, are all improper fractions.

When we have to multiply a whole number with fractions less than 1, then the resulting number will be less the number originally

Example; 3 x \(\frac{3}{4}\)

If we then multiplying numerators together and the denominators together.

3 x \(\frac{3}{4}\) = \(\frac{3}{1}\) x \(\frac{3}{4}\) = \(\frac{9}{4}\) = 2\(\frac{1}{4}\) < 3

Example /\

Thus the answer to your problem is, A. Larger OR Multiply.

1. 2

2. 2
3. 4

4. 3 and 1

5. C

6. B

7. C and D

8. 3

9. 1 and 4

10. C

11. 2

12. D

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