Solve the system of equations:

3x-3y = -15
and
-x+y = 5

The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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The correct answer is Independent groups design.

Given that,

Participants in a study are randomly allocated to one of two groups; one group is run at night, while the other is run during the day. Then, each member of each group is measured twice under the red and blue conditions, respectively.

Independent groups design.

Independent measures style, conjointly called between groups is an experimental style wherever completely different participants are employed in every condition of the experimental variable. This suggests that every condition of the experiment includes a distinct cluster of participants.

Therefore, the correct answer is Independent groups design.

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Answer: 5 (first round) + 25 (second round) + 125 (third round) + 625 (fourth round) = 780

So, at the end of 4 rounds, including Jacob himself, 780 people will have gotten fliers.

Step-by-step explanation: In the first round, Jacob hands out fliers to 5 people.

In the second round, each of the 5 people from the first round hands out 5 fliers to 5 other people. So, there are now 5 x 5 = 25 people with fliers (including the original 5).

In the third round, each of the 25 people from the second round hands out 5 fliers to 5 other people. So, there are now 25 x 5 = 125 people with fliers (including the original 5 and the 25 from the second round).

In the fourth round, each of the 125 people from the third round hands out 5 fliers to 5 other people. So, there are now 125 x 5 = 625 people with fliers (including the original 5, the 25 from the second round, and the 125 from the third round).

The root of f(x) will be (A) -√7.

To find the root of f(x):

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a - √b

Therefore, the root of f(x) will be (A) -√7.

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The correct question is given below:

If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?

A. negative square root of 7

B. i square root of seven

C. –3

D. 3i

Answer:

3e = k

2a - 6 = k

k = 18

we can plug in k first for each equation

3e = 18

e = 6

2a - 6 = 18

a = 12

k = 18

e = 6

a = 12

Step-by-step explanation:

Ella has 6 cards and Adira has 12 cards.

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.

Given:

Kip has 18 cards.

Now, Ella has 1/3 as many trading cards as Kip.

Ella has= 18 x 1/3 = 6 cards

and, Adira has 3 more than 50% of the number of cards that Kip has.

So, Adira has = 3 + 1/2 (18)

                       = 3+ 9

                        = 12 cards

So, Ella has 6 cards and Adira has 12 cards.

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

The perimeter is 16 inches.

Step-by-step explanation:

P= l+l+w+w

76=22+22+w+w

76=44+w+w

32=w+w

32=2w

16=w

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.

Answer:

9 dollars per pound of salmon

Answer:

t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: x=16

Step-by-step explanation: 16 + 18 + 10 = 44

                                             44 = x + 28

                                                16 = x

3,628,800 is the required numbere of ways in which 10 cheese packages be arranged on a shelf.

If the 10 different kinds of cheese packages can be arranged in any order, the number of ways they can be arranged on a shelf is given by 10! (10 factorial), which is 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800.

Factorial is a mathematical operation that represents the product of all positive integers up to a given number. In this case, 10! means the product of all positive integers from 1 to 10, which gives us the total number of arrangements possible for the 10 cheese packages.

"

Complete question

there are 10 different kinds of cheese packages. in how many ways can these packages be arranged on a shelf if they can be arranged in any order.

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The probability is approximately 0.9167 or 91.67%.

To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.

There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).

Now let's determine the favorable outcomes (sums less than or equal to 10):

When the sum is 2: There is only one combination (1 + 1).

When the sum is 3: There are two combinations (1 + 2 and 2 + 1).

When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).

When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).

When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).

When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).

When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).

When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).

When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).

Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.

Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:

Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.

So, the probability is approximately 0.9167 or 91.67%.

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To solve this problem, we need to find the number of ways the 10 different movies can be stored on 40 computers. Since each computer can have at most one movie, we can think of this as arranging the 10 movies in a specific order on the 40 computers.

The number of different ways the 10 movies can be stored on the 40 computers is 10!. The calculation is given as follows:

To find the number of ways to arrange the movies, we can use permutations. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items being arranged.
In this case, we have 10 movies and 40 computers, so n = 10 and r = 40.
Plugging these values into the formula, we get:
10P40 = 10! / (10 - 40)! = 10! / (-30)!

Now, we need to simplify this expression. To do that, we can use the fact that 0! = 1.
So, -30! = (-30) * (-31) * (-32) * ... * (-1) * 0! = (-30) * (-31) * (-32) * ... * (-1) * 1 = (-30) * (-31) * (-32) * ... * (-1)

Now we can calculate 10P40:
10P40 = 10! / (-30)! = 10! / [(-30) * (-31) * (-32) * ... * (-1)]

Since we have 10! in the numerator and a long negative product in the denominator, we can simplify the expression further:
10P40 = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / [(-30) * (-31) * (-32) * ... * (-1)]

Now we can evaluate the numerator and denominator separately:
Numerator: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 10!
Denominator: (-30) * (-31) * (-32) * ... * (-1)

Since the movies are different and it matters which movie is stored on which computer, we have 10! ways to arrange the movies. So, the number of different ways the 10 movies can be stored on the 40 computers is 10!

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Answer: f(-3) = -27 & f(3) = 27

Step-by-step explanation:

(-3)^3

-27

(3)^3

27

Answer:

4 - p

Step-by-step explanation:

hope this helped :)

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

Answer:

slope is the straight line passes through different coordinate

Answer:

Step-by-step explanation:

Slope is just directions from any point on a line to another point on the line. It looks like a fraction...top number is how much up (or down) the bottom number is how much over ( left or right) this line is just going up 1 over 1, up 1 over 1...that is the slope 1/1. The slope is 1.

The prime factorization of the value under the radical sign can be used to factor the square root expression to get;

-0.3·√(162) = -2.7·√2

The prime factors of a number are the factors of the number that are prime numbers, which are numbers that are divisible by 1 and itself.

The expression -0.3·√(162) can be factorized by finding all the prime factors of 162 as follows;

162 = 2 × 3⁴, therefore; √(162) = √(2 × 3⁴) = √2 × √(3⁴) = (√2) × 3²

(√2) × 3² = 9·√2

Plugging in the value of √(162) in the expression -0.3·√(162), indicates that we get;

-0.3·√(162) = -0.3 × (9·√2) = -2.7·√2

The factored form of the expression -0.3·√(162) is -2.7·√2

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According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

\(|w - 10| \leq 2\)

The absolute value function measures the distance of a point to the origin, and is defined by:

The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:

\(|w - 10| \leq 2\)

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

\(2^{2}\) × \(5^{3}\)

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= \(2^{2}\) × \(5^{3}\)

Answer:

#refer to the attachment!!

\(Factors \:of \:500\)

\(\\ \longmapsto\) 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.

\(Prime \:Factorization \:of\: 500\)

\(\\ \longmapsto\) 500=\(2^{2}\) × \(5^{3}\)

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

Step-by-step explanation:

The formula for electrical power, P, is P = I2R , where I is current and R is resistance. The formula for I in terms of P and R is 1 I= P/R 2 3 I=P-R2 2 I= square root of P/R 4 I= square root of P-R.

Step-by-step explanation:

there's the answer I hope you can read

Answer:

82.4

Step-by-step explanation: