Drag the tiles to the correct boxes to complete the pairs.
Given: u = <-2, -7>, v = <3, -4>, and w = <5, 1>.

Based on the components of the given vectors, match each vector subtraction with the graph of the resulting vector.

Please help me figure out the correct pairs, godbless the one who answers! (See images attached)

Answer: D: Parallel to the base

Step-by-step explanation:

Answer:

the answer should be D if i am wrong please tell me.

Step-by-step explanation:

The average rate of change of candle height from time 45 minutes to time 109 minutes is -1 inch per 64 minutes.

The average rate of change is a measure of how quickly one quantity changes relative to another. It is calculated by dividing the difference between two values by the difference in time between those two values. It is a useful metric when trying to understand the speed at which a given quantity is changing over time.

For example, To calculate the average rate of change in the number of students enrolled in a particular school over the course of 5 years. In year 1, the school had 200 students enrolled and in year 5 it had 350 students enrolled. To calculate the average rate of change, one would divide the difference between the two values (150 students) by the difference in time between them (4 years):

Average rate of change = (350-200) / (5-1) = 150 / 4 = 37.5

This means that, on average, the school's enrollment increased by 37.5 students each year.

The table showing the height of a pyramid candle as it burns can be calculated by dividing the change in height (2 inches) by the change in time (64 minutes).

Change in height = 2 inches

Change in time = 64 minutes

Average rate of change = (2 inches) / (64 minutes) = -1 inch per 64 minutes

To know more about Average rate of change, visit:

https://brainly.com/question/8728504

#SPJ1

Answer:

A intersection B or A Π B

Step-by-step explanation:

The intersection of A and B is the set of all those elements which belong to both A and B.

In given Venn diagram describe the shading region is A intersection B or A ∩ B

A Venn diagram is an illustration that uses circles to show the commonalities and differences between things or groups of things Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic, teaching, linguistics, computer science and business. Many people first encounter them in school as they study math or logic, since Venn diagrams became part of “new math” curricula in the 1960s. These may be simple diagrams involving two or three sets of a few elements, or they may become quite sophisticated, including 3D presentations, as they progress to six or seven sets and beyond. They are used to think through and depict how items relate to each within a particular “universe” or segment. Venn diagrams allow users to visualize data in clear, powerful ways, and therefore are commonly used in presentations and reports. They are closely related to Euler diagrams, which differ by omitting sets if no items exist in them. Venn diagrams show relationships even if a set is empty.

According to the question

The intersection of A and B is the set of all those elements which belong to both A and B.

Hence, the given Venn diagram describe the shading region is A intersection B or A ∩ B

To learn more about Venn diagram from here https://brainly.in/question/9613505

#SPJ2

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

To learn more about marginal cost refer:-

https://brainly.com/question/14923834

#SPJ11

the slope of the line on the graph is 3 .

Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. The steepness, incline, or grade of a line can be measured using the slope's absolute value. A slope with a larger absolute value denotes a steeper line.

to find the slope of the graph we will take two points which lies on the same line i.e. they must be collinear .

the points i m choosing is (-2,0) and (-1,3)

now for finding the slope we will use the formula

m = (y2-y1)/(x2-x1)

m = (3 - 0 ) / (-1+2)

m = 3 / 1

m = 3

so the slope of the line on the graph is 3 .

learn more about the slope here :

brainly.com/question/3605446

#SPJ13

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

To know more about denominators visit-

brainly.com/question/29855437

#SPJ1

Let's consider what the problem wants us to find:

Let's find the fractional part:

 ⇒ the fractional part is equal:

       \(\frac{degree-covered-by-angle}{total-angle} =\frac{280}{180} =\frac{2*2*7*10}{2*2*3*3*5} =\frac{7*10}{3*3*5} =\frac{70}{45}=\frac{14}{9}\)

  Answer: The angle 280 degrees covers 14/9 of a semicircle.

Let's find the angle measure in radians:

 ⇒ we know that \(2\pi\) radians are equal to 360 degrees

    ⇒ to convert any degree to radians, you must multiply \(\frac{\pi }{180}\)

        so \(280*\frac{\pi }{180} =\frac{28}{18}*\pi =\frac{28\pi }{18}=\frac{2*14*\pi }{2*9} =\frac{14\pi }{9}\)

 Answer: The angle 280 degrees in radians is \(\frac{14\pi} {9}\) which in terms of \(\pi\) is

14/9

Hope that helps!

Answer:

Explanation:

There are two possible answers for a tue-false test:

True and False

It is given

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

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

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Learn more about argument here:

https://brainly.com/question/16052800

#SPJ11

Answer:

h(x)= x^2+11x+30

Step-by-step explanation:

A quadratic function is in the form h(x) = ax^2 + bx + c.

Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.

It should look like this: h(x)= (x+6)(x+5)

Since this is the factored form, we have to solve this equation further.

h(x)= (x+6)(x+5)

h(x)= x^2+6x+5x+30

h(x)= x^2+11x+30

The Correct graph is fourth one !

Answer:

Step-by-step explanation:

QUESTION :

m = (-3--1)/(-5-6) = 2/11

LAST ONE :

m = (-3--1)/(5--6) = -2/11

WITH THE REFLECTION OF F(X) , NORMALLY THE X-INTERCEPTS OF THE REFLECTED VALUE REMAIN THE SAME BUT CHANGE SIGNS. THE Y-INTERCEPTS DON'T CHANGE INCLUDINGVTHE SIGNS.

On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

\(H0:p=0.25\) (null hypothesis)

\(H0:p \neq 0.25\) (alternative hypothesis)

Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)

Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.

To know more about null hypothesis visit

https://brainly.com/question/28920252

#SPJ4

The average time a molecule spends in its reservoir is known as the residence time.

Residence time is an important concept in environmental science, particularly in the study of water quality and pollution. It refers to the average amount of time that a substance, such as a molecule or a pollutant, spends in a particular environment before it is either removed or transformed. For example, in a river, the residence time of a pollutant would be the amount of time it takes for that pollutant to be either broken down by natural processes or transported downstream to another location. By understanding residence time, scientists can better predict how pollutants will move through the environment and where they are likely to accumulate.

Learn more about average time here

https://brainly.com/question/15418098

#SPJ11

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Therefore, it will take Jean and Sanjay approximately 2.545 hours, or about 2 hours and 32.7 minutes, to paint the room together.

To determine how many hours it will take Jean and Sanjay to paint the room together, we can use the concept of work rates.

Jean's work rate is 1 room per 4 hours, which can be expressed as 1/4 of a room per hour. Similarly, Sanjay's work rate is 1 room per 7 hours, or 1/7 of a room per hour.

When they work together, their work rates will add up. Therefore, the combined work rate of Jean and Sanjay is:

1/4 + 1/7 = 7/28 + 4/28 = 11/28 of a room per hour.

To find the number of hours it will take them to complete the room together, we can set up the equation:

(11/28) * t = 1

Here, t represents the number of hours it will take them to complete the room.

To solve for t, we can multiply both sides of the equation by the reciprocal of (11/28), which is (28/11):

t = (28/11) * 1/ (11/28) = 28/11 ≈ 2.545

Therefore, it will take Jean and Sanjay approximately 2.545 hours, or about 2 hours and 32.7 minutes, to paint the room together.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

Hey there!

3/4 • 5/7

= 3(5)/4(7)

3(5) = 15⮐ Solving for your NUMERATOR (TOP number)

4(7) = 28⮐ Solving for your DENOMINATOR (BOTTOM number)

= 15/28

Answer: 15/28

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

-53; 780

Step-by-step explanation:

3. plug in your values

5^3 - 6 (5^2) - 8 (5) + 12 = -53

12^3 - 6 (12^2) - 8 (12) + 12 = 780

The mean of a set of log-normally distributed random variables is equal to the mean of their logs.

Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to the mean of the logs, which is 5. This is because lognormal(5,1) tells us that the mean of the original variables is exp(5+1^2/2), which is equal to exp(5.5), or 148.413. Taking the log of this number returns 5.

To calculate this more precisely, let's assume we simulate n lognormal(5,1) random variables and denote them by x_1, x_2, ..., x_n. We take the logs of each variable, producing the values y_1, y_2, ..., y_n. The mean of the logs is then calculated as (y_1+y_2+...+y_n)/n. Since each y_i is equal to the log of one of the x_i's, which is equal to 5, the mean of the logs is 5. Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to 5.

Learn more about mean here:

https://brainly.com/question/14882017

#SPJ4

At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.

we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98  determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.

to know more about the null hypothesis refers to the link https://brainly.com/question/28920252?referrer=searchResults.

#SPJ4

The true statement about the function is,

⇒ The graph of the function is a parabola.

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The quadratic function is,

⇒ f(x) = x² - 5x + 12

Now, We check all the options as;

For the value of f (-10), we can put x = - 10 in given equation, we get;

⇒ f(x) = x² - 5x + 12

⇒ f(-10) = (-10)² - 5×-10 + 12

⇒ f (-10) = 100 + 50 + 12

⇒ f (-10) = 162

Option 1 is wrong.

After draw the graph of quadratic equation, we get;

The quadratic function f(x) = x² - 5x + 12 represent a parabola.

Hence, Option 2 is true.

By graph it is clear that the quadratic function f(x) = x² - 5x + 12 open up and not contain the points (20, - 8) and (0, 0).

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1

Answer:

D can others can't..............

Answer:

168 in/sec

Step-by-step explanation:

It helps if you forget the /sec for a second. You end up having to solve what is 14 feet in inches which seems a LOT less complicated:

1 ft = 12 in

14 ft

14 * 12 = 168

Multiply the amount of feet you have by 12 (12 inches in a foot) and you have your answer.

FUN FACT:

If you wanted to go from inches to feet, all you have to do is work backwards. Divide by 12 and you'll get your feet.

EX:
168 in/sec = ? ft/sec

168/ 12 = 14

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

To know more about distribution refer here:

https://brainly.com/question/29664127

#SPJ11

Answer: We can write the piecewise defined function for the monthly cost C(x) as follows:

C(x) =

45.75 - 9.55, if x ≤ 500

45.75 - 9.55 + 0.35(x - 500), if x > 500

Explanation:

For the first 500 minutes, the monthly cost is a flat rate of $45.75 for the plan fee and $9.55 for taxes, so the total cost is simply the sum of these two amounts: C(x) = 45.75 + 9.55 = 55.30, for x ≤ 500.

For any additional minutes beyond the 500-min limit, there is an additional charge of $0.35 per minute, so the cost increases linearly with the number of extra minutes used. The expression (x - 500) represents the number of minutes beyond the limit, so we multiply this by the rate of $0.35 per minute and add this amount to the base cost of $55.30, giving the piecewise expression:

C(x) =

55.30, if x ≤ 500

55.30 + 0.35(x - 500), if x > 500

Therefore, the piecewise defined function for the monthly cost C(x) is:

C(x) =

45.75 - 9.55, if x ≤ 500

45.75 - 9.55 + 0.35(x - 500), if x > 500

Note: The two expressions are equivalent, but the second expression is simplified by combining the constants.

Step-by-step explanation:

The expression for f(x)-g(x) after adding and subtracting the polynomials is -3+5x-x²+5x³-4x⁴+3x⁵-7x⁶.

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

To find f(x)-g(x), we use the technique of adding and subtracting Polynomials.

Given:

To find f(x)-g(x), we substract each terms in g(x) from each terms in f(x) that are of the same degree.

Therefore. the expression for f(x)-g(x) is -3+5x-x²+5x³-4x⁴+3x⁵-7x⁶.

Learn more about polynomial here: https://brainly.com/question/4142886

#SPJ1