What is the magnitude of the resultant vector of 8 meters North and 8 meters East displacement. Use the WRISd editor icon Vito answer this question. You canwrite using the pento right. Your drawing will be ttransfered to actural writing

We need the coefficient of determination definition

The coefficient of determination (R²) is a number between 0 and 1 that measures how well a statistical model predicts an outcome. You can interpret the R² as the proportion of variation in the dependent variable that is predicted by the statistical model

So if we have a coefficient of determination of 0.233 we multiply by 100 to get the percentage

Answer: 23.3%

The given parameters are:

y=x^3, y=1

From the question,

Answer:

12.5%

Explanation:

To know the percent of change from year to year, we will calculate the Weight for 2 consecutive years.

So, when t = 0, we get that W is equal to:

Then, when t = 1, we get:

Now, we can calculate the percentage of change as:

Therefore, the best estimate is 12.5%

Remember that

In a rectangle

opposite sides are parallel and congruent and the measure of the interior angles are 90 degrees

The diagonals are congruent

so

PS=ON

PO=SN

PN=OS

equate the equations of diagonals

PN=2x+5

OS=3x-2

2x+5=3x-2

solve for x

3x-2x=5+2

x=7

Find out PS

Remember that

PS=ON=x+3

substitute the value of x

PS=7+3

The length of sides of the original image ABCD is

AB = 4

BC = 4

CD = 4

DA = 4

The length of the sides of ABCD after the dilation is

A'B' = 2

B'C' = 2

C'D' = 2

D'A' = 2

As you can see, the lengths are reduced by one-half (1/2).

So, it is clearly a reduction.

Therefore, the correct answer is the 2nd option.

1/2, reduction

To find the domain for this function, we can see that the restriction we need to take into account is that the values in the radical must be values equal or greater than zero, so this function can have values in the Real set of numbers. Then, we have:

We need to evaluate:

Then, add 7 to both sides of the inequality, and then dividing the inequality by 2 (at both sides again) we have:

We have that the values for the domain of this function are those for which are equal or greater than 7/2.

We can write the domain of this function in interval notation as follows:

The important fact here is that for this function to have a domain and a range in the Real set, we need to have this restriction for this function.

The values of 5 and 10 are 'displacements' of a parent function and do not affect the values for this function to be in the Real Set of numbers.

For example, the value of 5 multiply the function, and the values for the range are greater (for x values) if the function was not multiplied by 5 ( and this does not affect, however, the values for the domain).

The value of 10 makes the function to be shifted 10 units above in the y-axis (and it does not affect the most important restriction found above). However, it does affect the values for the range in the function.

6149488990ay, this is the solution:

Let's use the Direct Rule of Three for answering this problem, this way:

Price Percentage

289 68

x 100

___________________

28,900 = 68x

68x/68 = 28,900/68

x = 425

The regular price of the sofa is $ 425, and you will save $ 136 if you buy it on sale.

If you don’t need any further explanation, I’ll go ahead and end our session. Feel free to let me know how I did by rating our session - all feedback is welcome and appreciated. Thanks for coming today!

Remember that the solutions from tutors are always available in your profile!

The general equation for a quadratic equation is,

Substititute the values to obtain the equations for the coefficients.

and

Substitute the value of c in the equation a-b+c=2 to obtain the equation for a and b.

Substitute the value of a and c in the equation 4a-2b+c=5 to obtain the value of b.

Substitute the value of b in the equation a=1+b to obtain the value of a.

So quadratic equation for a=1, b=0 and c=1 is,

We have two equations:

We would like to know if those represent the same proportional relationship or don't.

For doing so, we remember that a constant of proportionality

Solve

Answer: Undefined solution

2.7 ,2.9, 7.2, 7.5, 8.5, 11.2,15.4, 18.3

The minimum is the smallest number in the data : 2.7

The maximum is the largest number in the data : 18.3

Next, we find the median, which is the middle number in the data when arranged from smallest to largest. There are 8 numbers, so we will average the middle 2 numbers

2.7 ,2.9, 7.2, 7.5, 8.5, 11.2,15.4, 18.3

The middle is between the 4th and 5th numbers

( 7.5 + 8.5) / 2 = 16/2 = 8

The median(Q2) is 8

To find Q1 ( the 1st quartile), we take the numbers below the mean

2.7 ,2.9, 7.2, 7.5,

and find the median of these numbers

There are 4 numbers so the middle is between the 2nd and 3rd numbers

2.7 , 2.9, 7.2, 7.5,

(2.9+7.2) /2 =5.05

Q1 = 5.05

We will do the same process for Q3, which is the third quartile. We will use the numbers above the median

8.5, 11.2,15.4, 18.3

( 11.2 + 15.4) /2 =13.3

Q3 = 13.3

Given the number below;

We are asked to find the prime factorization of the number.

Step 1: Definition

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

Step 2: We will use prime numbers to go through the given value until we can not divide further.

Since 75 is an odd number we will start with 3.

We can find above all the prime factors used to divide 75. Therefore;

Answer:

Recall that the slope-intercept form of the equation of a line is:

where m is the slope of the line and b is the y-intercept.

To take the given equation to its slope-intercept form, first, we multiply it by x+1 and get:

Subtracting 13, we get:

Answer:

Answer:

f(x) = 1 /x

Explanation:

We know that

and

Now, what must be the form of f(x)?

Let us guess.

If we said

then what would be f(g(x)) in this case?

To find out we simply replace x with g(x). This gives

which is exactly the form we are told f(g(x)) take! This means our guess was correct and

We are asked to convert 2.5 years into hours.

Step 1:

There are 365 days in a year so 2.5 years will have

Step 2:

There are 24 hours in a day so 912.5 days will have

Therefore, 2.5 years will have 21900 hours.

Distance = 26 miles

Time = 2.23 hours

1 mile = 1760 yards

26 m = 26 x 1760 = 45760 yards

1 hours = 60 minutes

2.23 h = 2.23 x 60 = 133.8 minutes

Speed rate = distance / time

Replacing:

S = 45760 y / 133.8 m = 342 yards per minute

Explanation

The volume of the object is the sum of the volumes of the composite solids that make up the object. Since each solid is a cylinder, we will make use of the formula below.

The question gives the following parameters for the solids

We can substitute the parameters into the formula.

Therefore;

Answer:

a.

P(z≤−1.0)

Using the z - score table, that gives the probabilities to the left side of the z score:

P ( z ≤−1.0) = 0.1587

b. P(z≥−1)

1 - P ( z ≤−1.0) = 1 - 0.1587 = 0.8413

c. P(z≥−1.5)

1 - P(z≤−1.5) = 1 -0.0668 = 0.9332

d. P(−2.5≤z)

P (z ≥ -2.5)

1 - P (z ≤-2.5) = 1 - 0.0062 = 0.9938

e. P(−3

P ( z≤0 ) = 0.5

P ( z ≤ -3 ) = 0.0013

P ( z ≤ 0 ) -P (z < -3) = 0.5 - 0.0013 = 0.4987

solve for x

Given,

The expression is,

Required

The solution of the inequality.

Taking the given expression as,

So, the solution of the inequality is x > -6.

Hence, option B is correct.

We can draw the following picture:

That is, the coordinates are (80,0)

the given points are

(x1 , y1) = (-1 , -5) and ()x2, y2) = (1 , -1)

the slope of the line is given as follows,

so the slope is m = 2

The formula of the circumference of a circle is given by:

Where r is the radius.

By replacing the C-value, we can solve for r:

Now, the formula of the area is given by:

Replace the r-value and solve for A:

The area of the circle is 4.91

Given

The function,

To find:

The value of f(5).

Explanation:

It is given that,

Then,

For x=5,

Hence, the value of f(5) is 8.

Recall that:

Therefore:

Now, since c≥0, we get that:

Substituting the above result in 3|c| we get:

Answer:

The test statistic, z, is computed as follows:

where:

x: sample mean

μ: population mean

σ: standard deviation

n: number of samples

Substituting with x = 89.7, μ = 84.9, σ = 13.9, and n = 61, we get:

a) R is the variable

b) a product, the variable is being multiplied

Explanation

Step 1

the value for I depends on the value for R, it means, that I depends on the value for R

so, R is the variable

Step 2

when you have

it is a multiplication between P, R and T,the variable is being multiplied

Step 2

solve for R

then, opposite operation is division, divide both sides by PT

I hope this helps you

Solution

For this case we have the following weight:

5 lb and 8 oz

Using the following conversion ratios

1lb = 453.592 gr

1 oz = 28.3495 gr

We need to convert into grams so we can do this:

Then adding the two values we have:

2267.96gr + 226.796gr = 2494.756 gr