Vector vector v equals vector RS has points R(−2, 12) and S(−7, 6). What are the magnitude and direction of vector RS question mark Round the answers to the thousandths place.

Answer:

Yes, 21.23 is a rational number.

[tex]21.23=\dfrac{2123}{100}[/tex]

Step-by-step explanation:

Terminating decimal numbers are decimals that have a finite number of decimal places.

A Rational Number is the division of an integer by another integer.

Therefore, 21.23 is a terminating decimal since it has a finite number of decimal places.

Let x be the rational number.

[tex]\implies x=21.23[/tex]

Multiply both sides by 100 so that the right side is an integer:

[tex]\implies 100x=2123[/tex]

Divide both sides by 100:

[tex]\implies x=\dfrac{2123}{100}[/tex]

(This fraction cannot be reduced any further).

Therefore, we have proved that 21.23 is a rational number.

Answer:

It is a rational number.

Step-by-step explanation:

Given value,

→ 21.23

Converting into rational number,

→ (21.23/1) × (100/100)

→ (21.23 × 100)/(1 × 100)

→ 2123/100

Hence, it is a rational number.

The value of t must be less than -2/3, that is, the correct answer must be a negative number, in this case it would be the letter C) -3

given data:

The cost of house is $176000.

The percentage the house realtor requires is 5%.

That is,

Thus 5% of 176000 is 8800.

Thus, you need to give $8800 to the local realtor.

Answer:

1 foot above the ground, positive 1

Step-by-step explanation:

you start at ground level let's call that 0

you go 10 down 0-10=-10

Now you climb up 20 feet so -10+20=10

Then you finally climb down 9 feet and 10-9=1

So you are one foot above the ground.

ANSWER

A. True

EXPLANATION

Let the complex number be z = a+ ib, so its complex conjugate is z* = a - ib, where a and b are real numbers. Let's find the product,

The product is,

Solve the products,

Simplify: note that the second and third terms are opposites, so they cancel out. Remember that i² is equal to -1,

Since a and b were real numbers, then the sum of their squares is also a real number.

Hence, this statement is true.

Given that y varies directly with x, we have:

Where k is constant.

When x = 7, y = 21. From here, we can obtain the value of k

21 = 7k

k = 21/7 = 3

Since k = 3, the equation that relates x and y is:

Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb

German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs

Let l and w be the length and width of the rectangle, respectively.

Therefore, according to the question,

Therefore, solving for l and w,

SOLUTION:

Step 1:

In this question Number 15, we are given the following:

3x+2y=10 This is the equation of the new line in standard form

Two parallel lines have the same slope,  to compute the slope (m) of the equation 3x+2y=19.  This can be obtained by converting the equation into slope-intercept form (i.e., y=mx+b, where m is the slope):

by subtracting 3x from both sides, and then simplifying:

3x+2y-3x=19-3x

     2y     =-3x+19

Then, let's divide both sides by 2, to obtain slope-intercept form:

      y      = (-3/2)x+(/2)     From this, we know that the slope (m) is -3/2

To determine the equation of the line we're being asked to solve for.  If we know the slope (in this case m=-3/2) along with any given point on the line ((x0,y0); in this case (4,1)), the equation of the line can be determined as y-y0=m(x-x0)

So substituting, the equation of the line is y-1=(-3/2)(x-5)

We now need to put this into standard form, with both x and y terms on the left side of the equation:

First, distribute the 3/2 on the right side:  y-1=(-3/2)x+(3/2)5  or y-1

= (-3/2)x+6

Next, add (3/2)x to both sides, add 1 to both sides, and simplify:

(3/2) x + y = 5

multiply both sides by 2, to eliminate the fraction (3/2): 3x+2y = 10 This is the equation of the new line in standard form

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The distance between Destinee's house and Anna's house is 15.62 miles

To find the coordinate of the Anna's house, we can use the formula of midpoint on this. This is given as

[tex]midpoint(x,y) = \frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}[/tex]

In the question, El Ticonzito's house is at midpoint between Destinee's house and Anna's house.

[tex]midpoint(x,y) = \frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}\\-4 = \frac{2 + x_1}{2} = -8 = 2 + x_1\\x_1 = -8 - 2 = -10\\\\-2 = \frac{3 + y_1}{2} \\-4 = 3 + y_1\\-4 - 3 = y_1\\y_1 = -7[/tex]

The coordinate's of Anna's point is (-10, -7).

Let's use this to calculate the distance (d) between the two points.

[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2} \\d = \sqrt{(-10-2)^2 + (-7 - 3)^2} \\d = \sqrt{(-12)^2 + (-10)^2} \\d = \sqrt{244}\\ d = 15.62 miles[/tex]

The distance between the two points is 15.62 miles

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Answer:

64

Step-by-step explanation:

9+7=16

16(4)=64

Answer:  Choice A

x^2-12x+36; is a polynomial

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

Explanation:

Use the rule that (A-B)^2 = A^2 - 2AB + B^2 to show (x-6)^2 = x^2-12x+36 is an identity. In this case, A = x and B = 6

You could also use the FOIL rule or the distributive property as two alternatives.

The result is a polynomial because it consists of summing or subtracting various monomials. If we had terms that had say exponents of decimal numbers or negative values, then we wouldn't have a polynomial.

Kira have $23 in his wallet.

Justin have $13 in his wallet.

Reuben have $46 in his wallet.

Given,

There are three persons, Kira, Justin, Reuben.

The total amount in their wallet = $82

The amount in Justin's wallet = x

The amount in Kira's wallet = x + 10

The amount in Reuben's wallet = 2(x + 10)

We have to find the amount in their wallets.

Here,

x + x + 10 + 2(x + 10) = 82

2x + 10 + 2x + 20 = 82

4x + 30 = 82

4x = 82 - 30

x = 52/4 = 13

Now,

The amount in Justin's wallet = x = $13

The amount in Kira's wallet = x + 10 = 13 + 10 = $23

The amount in Reuben's wallet = 2(x + 10) = 2(13 + 10) = 2 × 23 = $46

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mEFG and mGFH is 61 and 119 respectively.

What is linear pair of angle?

Linear pair of angle are formed when two lines intersect each other at a single point and sum of angles of linear pair is always 180.

given, mEFG = 2n+17 and mGFH = 4n+31 and they both are linear.

Hence,

mEFG+mGFH = 180

2n+17+4n+31 = 180

6n+48=180

6n = 132

n = 22

hence, mEFG = 2(22)+17= 61 and mGFH = 4(22)+31 = 119

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There are 40 animals in the shelter, 18 of that animals are cats.

We need to find the percent of the animals that are cats.

Then, 40 animals represent 100% in the shelter.

We can use the rule of three to find the cat's percent:

Therefore:

40 animals -------------- 100%

18 cats ------------------------ x

x = (18*100)/40

x =45

So, 45 % of the animals are cats.

Answer:

f−1(x)=ex+11−2ex

Step-by-step explanation:

Let y=f(x)=ln(x−1)−ln(2x+1). ⇒y=ln(x−12x+1). ⇒x−12x+1=ey. ⇒2xey+ey=x−1. ⇒x(1−2ey)=ey+1.

-7

Explanation

Step 1

given

subtrac (1/4)z in both sides

Step 2

add 7/8 in both sides

finally, multiply both sides by -8 in order to isolate z

therefore, the answer is

-7

I hope this helps you

Let be "x" Jon's current salary.

According to the information given in the exercise, the salary at the new job is 68,000 and this is 12% more than his salary at his current job.

To convert from percent to a Decimal number, you can divide by 100. Then:

Therefore, knowing that information, you can set up the following equation:

Now you can solve for "x" in order to find its value:

The answer is:

Problem

What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5

Solution

9x +5 =21

If we subtract 5 in both sides we got:

9x +5-5 =21-5

Subtraction property of equality

Applying the quotient rule, the derivative of the given function at x = 3 is of -2/3.

A quotient function is defined as follows:

i(x) = g(x)/f(x)

Applying the quotient rule, the derivative of the function defined above is of:

i'(x) = [g'(x)f(x) - f'(x)g(x)]/f(x)².

Hence, at x = 3, the numeric value of the derivative is given as follows:

i'(3) = [g'(3)f(3) - f'(3)g(3)]/f(3)².

Function f(x) is a linear function with slope of -3/2, hence:

Function g(x) is a linear function with slope of -1/2, hence:

Then the derivative is given as follows:

[tex]g^{\prime}(3) = \frac{-\frac{1}{2} \times \frac{3}{2} - \frac{3}{2} \times \frac{1}{2}}{\left(\frac{3}{2}\right)^2} = -\frac{\frac{6}{4}}{\frac{9}{4}} = -\frac{6}{9} = -\frac{2}{3}[/tex]

Hence the numeric value of the derivative at x = 3 is of -2/3.

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ANSWER

EXPLANATION

We want to find the domain and range of the function.

The domain of a function is the set of all input values of the function. Basically, the set of all x values of a function.

The range of a function is the set of all output values of the function. Basicallly, the set of all y values of a function.

To find the domain of the function, we have to look at the smallest and largest values of x.

The smallest value of x is -7.

The largest value of x is 3.

So, the domain is:

To find the range of the function, we have to look at the smallest and largest values of y.

The smallest value of y is -1.

The largest value of y is 9.

So, the range is:

Given the rectangular coordinates of point Q:

You need to remember that the form from rectangular oordinates to polar coordinates is:

By definition:

In this case, you can identify that:

Then, you can determine that:

Therefore, the polar coordinates are:

Hence, the answer is: Second option.

Answer:

78.5

Step-by-step explanation:

i just know

Answer: P A is paranthathesis add

Step-by-step explanation: so frist u do ( + ( = ((

then ((-)))=-)

Answer:

x = [tex]\frac{23}{8}[/tex] or 2 [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

1. Add the numbers

10 + 2 = 12

5x+12+11x = 58

2. Combine like terms

5x + 11x = 16x

16x+12 = 58

3. Subtract 12 from both sides

16x + 12-12 = 58-12

x = [tex]\frac{23}{8}[/tex]

Answer: The tree takes the Carbon dioxide from the air and converts it to wood.

Problem Statement

We are told a store offers 15% discount on the sale of a stereo originally costing $400. After the sale, the new price is marked up by 15%.

We are asked to find what percentage of the original price is the new marked up price.

Method

T

If two lines of slopes m1 and m2 are perpendicular, then:

The slope of a line passing through points (x1, y1) and (x2, y2) is:

We are given the points of the first line (-4, 7) and (1, 3). Calculate the slope

The slope of the perpendicular line is:

The equation of the perpendicular line has the form:

None of the options has the correct answer.