A person starts walking from home and walks: 4 miles East 7 miles Southeast 3 miles South 1 miles Southwest 2 miles East This person has walked a total of Find the total displacement vector for this w

Relying solely on the number of vacations as an indicator of relationship satisfaction. Dr. Blue's variable may lack validity and comprehensiveness in accurately assessing relationship satisfaction.

The biggest problem with Dr. Blue's variable is that it may not accurately measure relationship satisfaction in married couples.

While counting the number of vacations couples take each year may provide some insight into their level of satisfaction, it is not a comprehensive or reliable measure.

Relationship satisfaction is a complex concept that cannot be fully captured by just one variable. Other important factors such as communication, trust, and emotional connection also play a significant role in determining relationship satisfaction.

Additionally, couples may have various reasons for not taking vacations, such as financial constraints or work commitments, which may not necessarily reflect their level of satisfaction.

Therefore, relying solely on the number of vacations as an indicator of relationship satisfaction may result in an incomplete and potentially misleading understanding of the couples' overall well-being.

This question is half the full answer for the given question below.

In conclusion, Dr. Blue's variable may lack validity and comprehensiveness in accurately assessing relationship satisfaction.

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Answer:

3\(x^{3}\) + 6\(x^{2}\)

Step-by-step explanation:

(f · g )(x) = 3\(x^{2}\) · (x + 2) = 3\(x^{3}\) + 6\(x^{2}\)  (Multiply the two terms by distributing)

Answer:

1.) 123  2.) 19

Step-by-step explanation:

Both of these numbers would round up since 5+ makes the number before itself add 1.

ROUNDING

=================================================================

There are two rules for rounding:

1. If the number you're rounding is followed by a digit from 0 to 4 drop it

2. If it's followed by a digit from 5 to 9 add 1

Let's see them in action!

1: 122.53 ==> 122.5 ==>123

2: 18.59 ==> 18.6 ==> 19

Learn more;work harder

#Carryonlearning

==============================================================

Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

I HOPE THIS HELPED

Answer:

The answer is 3.18 miles/runner.

Step-by-step explanation:

To solve this problem, we need to find the distance that each member of the team runs. To do this, we have to divide the total distance of the race (12.72 miles) by the number of runners on the team (4 runners).

If we perform this operation, we get:

12.72 miles/4 runners

= 3.18 miles/runner

Therefore, the correct answer is that each team member runs 3.18 miles during the race.

Hope this helps!

The given equation will have two solutions x = 9.75 and x = 0.68.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equation is y = x²- 11x + 7. The equation has two degrees so will have two solutions.

The given equation will be solved as below,

x²- 11x + 7 = 0

( x - 11 / 2 )² - ( 11 / 2 )² + 7 = 0

( x - 5.5 )² - ( 5.5 )² + 7 = 0

( x - 5.5 )² = 5.5² - 7

( x - 5.5 )² = 23.75

x - 5.5 = ±4.82

x - 5.5 = 4.82

x = 9.75

x -5.5 = -4.82

x = 0.68

Therefore, the given equation will have two solutions x = 9.75 and x = 0.68.

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Twelve horses will take 18 hours to consume 36 bales of hay.

Given,Six horses eat 12 bales of hay in 12 hours We need to find,

Let's assume that 1 horse will eat 1 bale of hay in x hours.

As we know,6 horses will eat 12 bales of hay in 12 hours.

Now we can find x as follows:

For 1 horse, 1 bale of hay is consumed in x hours

So, for 6 horses, 6 bales of hay will be consumed in x hours.

Then,6 horses consume 12 bales of hay in 12 hours6 horses consume 6 bales of hay in 6 hours1 horse consumes 1 bale of hay in 6 hours

Now we have to find how many hours will 12 horses take to eat 36 bales of hay.

If 1 horse eats 1 bale of hay in 6 hours, then 12 horses will consume 12 bales of hay in 6 hours.

Therefore, 12 horses will consume 36 bales of hay in 18 hours.

So, the answer is: Twelve horses will take 18 hours to consume 36 bales of hay.

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∀xp(x) ∨ ∀xq(x) and ∀x(p(x) ∨ q(x)) are not equivalent. Counterexample: Let p(x) be "x is a cat" and q(x) be "x is a dog."

To demonstrate the non-equivalence between the formulas ∀xp(x) ∨ ∀xq(x) and ∀x(p(x) ∨ q(x)), we can provide a counterexample. Consider a domain of discourse that includes various animals. Let p(x) represent the proposition "x is a cat," and let q(x) represent the proposition "x is a dog." In this scenario, ∀xp(x) ∨ ∀xq(x) can be interpreted as "Every animal is a cat or every animal is a dog." Since there are animals that are neither cats nor dogs, this statement is false.

On the other hand, ∀x(p(x) ∨ q(x)) translates to "Every animal is either a cat or a dog." This statement is true because every animal in the domain can be categorized as either a cat or a dog. By presenting this counterexample, we have established that ∀xp(x) ∨ ∀xq(x) and ∀x(p(x) ∨ q(x)) do not have the same truth value in all possible interpretations. Thus, they are not logically equivalent.

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Answer:

2

Step-by-step explanation:

note - (- ) = + and + (- ) = -

- 6 - (- 10) + (- 2)

= - 6 + 10 - 2

= 4 - 2

= 2

Answer:

2

Explanation:

- 6 + 10+ (- 2)

= 4+(-2)

=2

The standard deviations of stocks A and B are 1.5% and 2.0%, respectively. So the option is none of the above.

How to calculate the standard deviation of the probability distribution? The formula to calculate the standard deviation of a probability distribution is sigma = sqrt{ {sum_{i=1}^n (x_i - mu)^2 p_i}}, Where:x is the possible outcome for a random variable X_i, p is the probability of each outcome 'X_i', n is the number of outcomes 'mu' is the expected value of the random variable  'X'.

The probability distribution for stocks A and B are as follows:

StateProbability - 0.100.200.200.300.20

Return on Stock- A10%13%12%14%15%

Return on Stock -  B8%7%6%99%8%

Calculation of Standard Deviations of Stocks A and B:

To calculate the standard deviation of Stock A, first, we need to calculate the expected value (mean).

The expected value of Stock A = (10*0.1)+(13*0.2)+(12*0.2)+(14*0.3)+(15*0.2)

The expected value of Stock A = 12.6%

Therefore, using the formula of standard deviation, we can calculate the standard deviation of Stock A:

sigma = sqrt{ {sum_{i=1}^n (x_i - mu)^2 p_i}}

sigma_A = sqrt{(0.1*(10-12.6)^2) + (0.2*(13-12.6)^2) + (0.2*(12-12.6)^2) + (0.3*(14-12.6)^2) + (0.2*(15-12.6)^2)}

sigma_A = sqrt{0.0162}

sigma_A = 1.5%.

Therefore, the standard deviation of Stock A is 1.5%.

To calculate the standard deviation of Stock B, first, we need to calculate the expected value (mean).

Expected value of Stock B = (8*0.1)+(7*0.2)+(6*0.2)+(9*0.3)+(8*0.2)

The expected value of Stock B = 7.8%.

Therefore, using the formula of standard deviation, we can calculate the standard deviation of Stock B:

sigma = sqrt{ {sum_{i=1}^n (x_i - mu)^2 p_i}}

sigma_B = sqrt{(0.1*(8-7.8)^2) + (0.2*(7-7.8)^2) + (0.2*(6-7.8)^2) + (0.3*(9-7.8)^2) + (0.2*(8-7.8)^2)}

sigma_B = sqrt{0.0416}

sigma_B = 2.0%.

Therefore, the standard deviation of Stock B is 2.0%.

Hence, the correct option is 1.5%; 2.0%.

As such an option is not there. none of the above is the answer.

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The probability that the T-shirt John picks is dark blue is 2/3.

To find the probability that John picks a dark blue T-shirt, we'll need to consider the total number of blue T-shirts and the number of dark blue T-shirts.
Determine the total number of blue T-shirts.
John has 2 dark blue and 1 light blue T-shirt, so he has a total of 2 + 1 = 3 blue T-shirts.
Determine the number of dark blue T-shirts.
John has 2 dark blue T-shirts.
Calculate the probability.
The probability that John picks a dark blue T-shirt is the number of dark blue T-shirts divided by the total number of blue T-shirts.
Probability = (Number of dark blue T-shirts) / (Total number of blue T-shirts) = 2 / 3.

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-525 and (35)(-15)

Step-by-step explanation:

You can calculate the result of this expression as follows:

(-7)(-15)(-5)=(-1)³(7×15×5)=-(7×15×5)=-525

as, (-1)^n=1 if n is even and (-1)^n=-1 if n is odd.

We already saw that -525 is equivalent to the expression. Furthermore:

(-7)(-15)(-5)=(-15)(-7)(-5)=(-15)(-1)²(7×5)=(-15)(7×5)=(-15)(35).

so the second expression is also equivalent.

You can discard the third and fourth answers because 115×5=575≠525. The first one is also discarded, because (-7)(75)=525≠-525.

The value of equivalent expression are, (- 1)(525) and (35)(- 15).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We can check all the options as,

(- 7) (-15) (- 5)

= (105)(-5)

= - 525

(–7)(–75) and (–1)(525)

= 525   &  - 525  

Not Equal

(–1)(525) and (35)(–15)

= -525  and - 525

Both Equal to  (- 7) (-15) (- 5)

(35)(–15) and (115)(–5)

= -525  and   - 575

Not Equal

(–1)(525) and (115)(–5)

= -525  and - 575

Not Equal

Hence, Expressions (- 1)(525) and (35)(- 15) are equivalent to (- 7) (-15) (- 5).

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The complete question is this,

Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)? (Negative 7) (Negative 75) and (Negative 1) (525) (Negative 1) (525) and (35) (Negative 15) (35) (Negative 15) and (115) (negative 5) (Negative 1) (525) and (115) (negative 5)

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

Step-by-step explanation:

i took this quiz before

Answer:

5x + 4 = 14

Step-by-step explanation:

expand the brackets:  2 ((5x + 4)/2) = 5x + 4

and 7(2) = 7 x 2 = 14

⇒ 5x + 4 = 14

The doctor would prescribe 8 milliliters of acetaminophen for Jocelyn, who weighs 40 pounds.

According to the given information, pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child's weight. So, if a child weighs 50 pounds, the doctor would prescribe 10 ml of acetaminophen.

Now, let's apply this formula to Jocelyn's weight. As Jocelyn weighs 40 pounds, we need to calculate how many 25-pound increments her weight contains. To do this, we can divide her weight by 25:

40 pounds ÷ 25 pounds = 1.6 increments

This means that Jocelyn's weight is equivalent to 1.6 times the 25-pound increment used in the prescription. To determine the amount of acetaminophen she needs, we can multiply 5 ml (the prescribed dose for 25 pounds) by 1.6:

5 ml × 1.6 = 8 ml

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The term that best represents the intersection of two pages of an open book is point.

A third item made up of everything that is simultaneously contained in all of the other things is called an intersection of two or more objects in mathematics. In Euclidean geometry, for instance, the intersection of two lines in a plane that are not parallel is where they come together. More broadly, the set of elements that are a part of all of the sets is what is meant by the intersection of sets in set theory. The items being considered do not need to be in a shared space, unlike the Euclidean concept.

A point is the most frequent shape for an intersection in plane geometry, while there are other shapes that can be used as well. An intersection is an item of lesser dimension that is incident to each in incidence geometry, which is typically applied to flats.

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Answer:because that’s what the answer is

Step-by-step explanation:

Answer:

Y=1/2x-3

Step-by-step explanation:

Answer:

x = 17.9

Step-by-step explanation:

\(3x-24=29.7\\ Distribution Property\\\\3x=53.7\\\\Adding 24 to both sides\\\\x=17.9\\Divide by 3 to both sides\\\\Hope this helps:)\\\)

\(\text {Hello! Let's Solve this Equation!}\)

\(\text {The First Step is to Multiply 3 in the Parentheses:}\)

\(\text {3*x=3x}\\\text {3*8=24}\)

\(\text {Your new Problem is: 3x-24=29.7}\)

\(\text {The Next Step is to Add 24:}\)

\(\text {3x-24+24=29.7+24}\\\text {=53.7}\)

\(\text {Your new Problem is: 3x=53.7}\)

\(\text {The Final Step is to Divide 3:}\)

\(\text {3x/3=53.7/3}\)

\(\text {Your Answer would be:}\)

\(\fbox {x=17.9}\)

\(\text {Best of Luck!}\)

Answer:

a = 1, b = -2

Step-by-step explanation:

You are given values of x are 1 and 2 when the equation is 0

To solve the problem substitute the values of x into the equation

For x =1

1^2 + a(1) + b = 0

1 + a + b = 0

a+b = -1(call this equation i)

For x = -2

-2^2 + a(-2) + b = 0

4 - 2a + b = 0

-2a + b = -4 (call this equation ii)

Now solve equation i and ii simultaneously to get values of a and b.

a+b = -1

-2a+b = -4

By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get

3a = 3

Divide 3 both sides, you get

a = 1

Take the value of a above substitute it into either equation i or ii to get the value of b

Here i considered equation i

a + b = -1

1 + b = - 1

b = - 1 - 1

b = -2

Therefore a = 1, b = -2

The graph of the equation given is mentioned below.

What is plot point in graph ?

Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.

Equation given,

y = 3/5x - 1    ----eq(i)

y = 2/5x        -----eq(ii)      

Now, for this two equation we infinite points for real numbers.

Now, take some points to plot the graph.

First for the eq(i)

Put x = 0, so y = -1

Put x = 5, so y = 2

Points for eq(i) is (0, -1) and (5, 2)

Now, for eq(ii)

Put x = 0, so y = 0

Put x = 5, so y = 2

Points for eq(ii) is (0, 0) and (5, 2)

Common point is (5, 2)

Now, plot this point on graph.

Hence, for more clarity graph of the equation given is mentioned below.

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The total number of two-person tents taken on the camping trip was 0, and the total number of four-person tents taken on the camping trip was 50.

The total number of tents taken on the camping trip was 60, and the total number of people was 202. We want to determine how many of each type of tent were taken. Let x represent the number of two-person tents and y represent the number of four-person tents. We can use the following equation to solve for x and y:

2x + 4y = 202

After rearranging the equation to solve for x, we get x = (202 - 4y)/2. Substituting this into the equation, we get 2((202 - 4y)/2) + 4y = 202. Simplifying, we get (202 - 4y) + 4y = 202. Then, 0 + 4y = 202. Dividing both sides by 4, we get y = 50.5. Plugging this value into the equation x = (202 - 4y)/2, we get x = (202 - 202)/2, which simplifies to x = 0.

Therefore, the total number of two-person tents taken on the camping trip was 0, and the total number of four-person tents taken on the camping trip was 50.

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The graph of the function:

Can be obtained by using the parent function:

Whose graph is shown below:

We must first turn x into -x by making a reflection over the y-axis. This way, the function becomes:

And the graph is:

Finally, we just add 4 to x to translate the graph 4 units to the right to get our desired function:

The graph is shifted 4 units to the right as shown:

Answer:

Step-by-step explanation:

easy y is 120

Answer:

1020 students

Step-by-step explanation:

We have the equation y = 0.1x + 18

If we have a school of 120 staff members, we can just set y = 120 and solve for the predicted total number of students, x.

120 = 0.1x +18

0.1x = 102

x = 1020 students

Answer:

Bottom(equation 3)=No solution

Middle(equation 2)= Infinite solutions

Top(equation 1)=1 solution

Step-by-step explanation:

Brainly pls I hope this helps

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Answer:

There are two ways you can do this

1/10 ⁶ and 1/1 000 000 are the answers

Answer:

The answer is 2) IV and V. they are both equal

Answer:

Stay the same

Step-by-step explanation:

1 * x = x it will stay the same

68.18% is the right answer

Answer:

\( - 3( - 10) \\ = + 30\)

Step-by-step explanation:

- and - =+

that's why when we multiply -3 with -10 then product is positive i.e +30

hope it helped you:)

thanks!

Answer:

34o

Step-by-step explanation: