Which graph represents the solution set of the inequality x+2 greater than or equal to 6

Answers

Answer 1

Answer:

4 ≤ x

4

Step-by-step explanation:

There is no illustration, it looks something like this.


Related Questions

Help With the problem! With picture

Answers

Answer:

Slope is 20

y-intercept is 50

Step-by-step explanation:

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept where x and y are the variables.

For your equation the slope is 20 and the y-intercept is 50 where m and y are variables.

The y-intercept is what you initially start with and here that is 50.   The slope is a rate.  So you are getting 20 dollars added per month.

Sully earns $80 by selling a laptop and $60 by selling a smartphone. He wants to make a profit of at least $6,800. Write an inequality to model the amount Sully earns by selling laptops and smartphones.

Answers

Answer:

The inequality that represent the problem is [tex]80x+60y \geq 6,800[/tex]

The solution in the attached figure

Step-by-step explanation:

Let

x ----> the number of laptops sold

y ----> the number of smartphones sold

we know that

The inequality that represent the problem is equal to

[tex]80x+60y \geq 6,800[/tex]

The solution of the inequality is the shaded area

Remember that the number of laptops or the number of smartphones must be  a whole positive number

The graph in the attached figure

Answer:

the 2nd one isss x+y< 100

Step-by-step explanation:

simplify (x − 2)(x + 9) using the table method, and identify the resulting expression in standard form.

Answers

Answer:

this should be right if not comment and I'll relook it.

FOIL Method.

You will get the same answer x^2+ 7x- 18

Answer:

X²+7x-18

Step-by-step explanation:

=X(x+9)-2(x+9)

=X²+9x-2x-18

=x²+7x-18

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.

Using the transformation T: (x, y) = (x+ 2, y + 1), find the distance named.​

Answers

Answer:

3.162 units

Step-by-step explanation:

First identify the points that undergo transformation

You have;

A = (0,0)   and B =(1,3)

The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.

Finding coordinates of the image points A' and B'

A'= (0+2,0+1) = (2,1)

B'=(1+2, 3+1)=(3,4)

Finding the distance A'B'

The formula for distance d is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where

x₁=2

x₂=3

y₁=1

y₂=4

d=distance between two points

Applying the formula

[tex]d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162[/tex]

The distance A'B' is √10 =3.162 units

Answer:

what bout the AA distance???

Step-by-step explanation:

If two angles are complementary, they are complements of each other.

True or False

Answers

Answer:
True
Explanation:
If a pair of angles are complementary, their sum adds up to 90°. When two angles add to 90°, it is generally known as the angles being "complements" of each other, or in other words, "complement" each other.

Hope this helps!

The quotient k and 22 is −66.

Answers

Answer: k=−1,452

Step-by-step explanation:

k/22 x 22 = −66 x22

Final answer:

The value of 'k' can be determined by isolating 'k' in the equation. This results in k = 22 * -66, simplifying to k = -1452.

Explanation:

The equation conveyed in the question can be written as k/22 = -66. To find the variable k's value, we need to isolate k in the equation. This can be done by keeping the inverse operation on both sides of the equation balanced. Since k is currently divided by 22, we must multiply both sides of the equation by 22 to get k independently.

When we do this, the equation becomes k = 22 * -66. Then, solve for k by multiplying 22 and -66 together. So, k equals -1452.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

Simplify the expression −3z−(−z−2)

Answers

Answer: -2z+2

Step-by-step explanation:

Simplify brackets

-3z + z + 2

Collect like terms

(-3z + z) + 2

Simplify

-2z + 2

Answer:

-2z + 2

Step-by-step explanation:

[tex](-)(-)=(+)\\\\-3z-(-z-2)=-3z+z+2\qquad\text{combine like terms}\\\\=(-3z+z)+2=-2z+2[/tex]

Verify the identity. 1+tan x/sin x + cos x= sec x

Answers

Step-by-step explanation:

Taking left hand side:

[tex]\frac{1+tan\ x}{sin\ x+cos\ x}\\=\frac{1+\frac{sin\ x}{cos\ x} }{sin\ x+cos\ x}\\=\frac{\frac{cos\ x+sin\ x}{cos\ x} }{sin\ x+cos\ x}\\=\frac{cos\ x+sin\ x}{cos\ x} * \frac{1}{sin\ x+cos\ x}\\=\frac{1}{cos\ x}[/tex]

1/cos x is equal to sec x.

So,

[tex]\frac{1}{cos\ x} = sec\ x[/tex]

Hence proved ..


Which equation is the inverse of y = x2 + 16?

Answers

as you already know to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

[tex]\bf y=x^2+16\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\underline{y}^2+16}\implies x-16=y^2\implies \sqrt{x-16}=\stackrel{f^{-1}(x)}{y}[/tex]

What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0? A. slope = -2, y-intercept = B. slope = 2, y-intercept = C. slope = -2, y-intercept = D. slope = 2, y-intercept = E. slope = -2, y-intercept = Reset Next

Answers

Answer:

Step-by-step explanation:

Carrying out the indicated multiplication, we get

3y - 6 + 6x + 6 - 2 = 0.

Combining like terms, we get 3y = -6x + 2.

Solving for y:  y = -2x + 2/3.

The slope is -2 and the y-inercept is 2/3.

The slope will be -2 and y-intercept will be 8/3.

Slope and y-intercept are key elements of a linear equation. The slope, denoted by b, describes the steepness of a line, while the y-intercept, denoted by a, is where the line crosses the y-axis.

The equation 3(y - 2) + 6(x + 1) - 2 = 0 can be rewritten as 3y + 6x - 12 + 6 - 2 = 0, which simplifies to 3y + 6x - 8 = 0.

To find the slope-intercept form, we can rearrange the equation to y = -2x + 8/3, where the slope is -2 and the y-intercept is 8/3.

the quote for usd/jpy is listed as 119.68/75 as shown. how many japanese yes does it cost to buy 1 U.S. dollar?

Answers

the quote for usd/jpy is listed as 119.68/75 as shown. how many japanese yes does it cost to buy 1 U.S. dollar?

Answer:

the correct answer is 119.75

Answer:

the guy above is right

Step-by-step explanation: i took the test and it was

What is the remainder when 3x^4 +2x^3-x^2+2x-24)/(x+2)

Answers

Answer:

remainder = 0

Step-by-step explanation:

Using the Remainder Theorem

Given f(x) divided by (x + h) then the remainder is found by evaluating f(- h)

Here the divisor is (x + 2), hence evaluate at h = - 2

Let f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 24, then

f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 24

        = 3(16) + 2(- 8) - 4 - 4 - 24

       = 48 - 16 - 4 - 4 - 24 = 0 ← Remainder

Remainder = 0 , hence (x + 2) is a factor of f(x)

You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads

Answers

P(2 or H) = P(2) + P(H) - P(2 and H)  

What is the probability of getting a 2 P(2)?  = 1/6

What is the probability of getting heads P(H)?  = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)  

P(2 or H) = 1/6 + 1/2  - 1/12 = 7/12

A computer purchased for $1,050 loses 19% of its value every year.


The computer's value can be modeled by the function v(t)=a⋅b^t, where v is the dollar value and t the number of years since purchase.


(A) In the exponential model a=____ and b=_____ .


(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place.


The answer is_____ years

Answers

Answer:

A) a = 1050 and b = 0.81

B) 3.3

Step-by-step explanation:

Original price of the computer = $ 1050

Rate of decrease in price = r = 19%

This means, every year the price of the computer will be 19% lesser than the previous year. In other words we can say that after a year, the price of the computer will be 81% of the price of the previous year.

Part A)

The exponential model is:

[tex]v(t)=a(b)^{t}[/tex]

Here, a indicates the original price of the computer i.e. the price at time t = 0. So for the given case the value of a will be 1050

b represents the multiplicative rate of change i.e. the percentage that would be multiplied to the price of previous year to get the new price. For this case b would be 81% or 0.81

So, a = 1050 and b = 0.81

The exponential model would be:

[tex]v(t)=1050(0.81)^{t}[/tex]

Part B)

We have to find after how many years, the worth of the computer will be reduced to half. This means we have the value of v which is 1050/2 = $ 525

Using the exponential model, we get:

[tex]525=1050(0.81)^{t}\\\\ 0.5=(0.81)^{t}\\[/tex]

Taking log of both sides:

[tex]log(0.5)=log(0.81)^{t}\\\\ log(0.5)=t \times log(0.81)\\\\ t = \frac{log(0.5)}{log(0.81)}\\\\ t = 3.3[/tex]

Thus, after 3.3 years the worth of computer will be half of its original price.

Final answer:

The initial value of the computer (a) is $1,050 and the depreciation rate (b) is 0.81. After approximately 4.1 years, the computer's value will reduce to half its original price.

Explanation:

In this question, we have an exponential decay problem. In the formula v(t) = a*b^t, a is the initial value of the computer, and b is the rate of depreciation per year.

(A) In this problem, a = $1,050 (the initial cost of the computer), and b = 0.81 (1 - 0.19, since the computer loses 19% of its value per year), so the equation becomes v(t) = 1050 * (0.81)^t.

(B) To find when the computer will be worth half its original value, we can set up the equation 1050 * (0.81)^t = 525. Solving this equation for t (using a logarithm), we find that t ≈ 4.1 years.

Learn more about Exponential Decay here:

https://brainly.com/question/2193799

#SPJ3

A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new restaurant charges a price for iced tea that has a z-value of -1.25, then what is the tea’s actual cost?

Answers

Answer:

The tea's actual cost is $116.25

Step-by-step explanation:

* Lets revise how to find the z-score

- The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

* Lets solve the problem

- The average cost of a glass of iced tea is $1.25

- The standard deviation of it is 7 cents

- A new restaurant charges a price for iced tea that has a

 z-value of -1.25

* Lets change the average cost to cent

∵ $1 = 100 cents

∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents

∵ z = (x - μ)/σ

∵ z = -1.25

∵ μ = 125

∵ σ = 7

∴ -1.25 = (x - 125)/7 ⇒ multiply both sides by 7

∴ -8.75 = x - 125 ⇒ add 125 to both sides

∴ 116.25 = x

* The tea's actual cost is $116.25

Answer: It is actually 1.16$ (The guy below accidentally added an extra 1)

Step-by-step explanation:

Which is a rational function?
a. y= x-3^x / x^2. b. y= x^2 - x + 4. c. y= x-5/ 2. d. y= 2/x​

Answers

ANSWER

d.

[tex]y = \frac{2}{x} [/tex]

EXPLANATION

A rational function is of the form:

[tex]r(x) = \frac{p(x)}{q(x)} [/tex]

where p(x) and q(x) are polynomial functions and q(x)≠0.

The first option contains the exponential function

[tex] {3}^{x} [/tex]

This disqualifies it from being a rational function.

The second and third options are polynomial functions.

By definition, all polynomials are rational functions.

The last option is a typical rational function because it has at least an asymptote.

The most correct choice is

[tex]y = \frac{2}{x} [/tex]

Colin surveyed his classmates about their favorite subject in school.

Colin’s Survey Results
Favorite Subject
Number of Students
Math
14
Language Arts
7
Earth Science
10
Life Science
11

Which statement is true?
The ratio of science fans to language arts fans is 10:7.
The ratio of language arts fans to science fans is 1:3.
The ratio of math and science fans to language arts fans is 24:7.
The ratio of language arts fans to math and science fans is 5:1.

Answers

Answer:

The correct answer is "The ratio of language arts fans to science fans is 1:3. "

Step-by-step explanation:

The ratio is the amount of students with a favorite subject per (compare with) the amount of students that prefer other subject.

We are going to analyze every statement

The ratio of science fans to language arts fans is 10:7.  FALSE.

Science fans are 21 (Earth Science  +Life Science ). This ratio is 21:7 or 3:1.

The ratio of language arts fans to science fans is 1:3.  TRUE.

This ratio is 7:21,  we can divide this numbers so that is the same of 1:3

The ratio of math and science fans to language arts fans is 24:7.  FALSE.

This ratio is 35:7

The ratio of language arts fans to math and science fans is 5:1. FALSE.

This ratio is 7:35 or 1:5

Answer:

b :) hope this doesn't help

Step-by-step explanation:

i mean its the right answer but maby the wrong question you were looking for like what happens to me i put in the questions it goes voo doo magic to brainly i open it and its the wrong  question i hate when it does that so then i have to copy and paste the question to put it on here just to find the wrong answer.

What’s the answer to this problem? (Photo included) thanks!

Answers

Answer:

C

Step-by-step explanation:

85+92+78+93=348

348/4=87

Answer:

.the answer is 93

Step-by-step explanation:

85 + 92 + 78 + 93= 348

348/4= 87 average

lim-0
(1 + 3x)/x =?????​

Answers

Answer:

not exist

Step-by-step explanation:

[tex]\lim\limits_{x\to0}\dfrac{1+3x}{x}\\\\\lim\limits_{x\to0^+}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(+)}=\dfrac{1}{(+)}=+\infty\\\\\lim\limits_{x\to0^-}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(-)}=\dfrac{1}{(-)}=-\infty[/tex]

Answer:

See below.

Step-by-step explanation:

The two sided limit does not exist.

As x approaches 0 from negative values the limit is -∞.

As x approaches 0 from positive values the limit is ∞.

Mario invests 1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. A:2100(1.02)x B:1500(1.02)x+600x C:500(1.02)x-600x D:2100 PLS HELP TIMED!!!

Answers

Answer:

1500(1.02)^x  +   600x is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year.  12(50)=600.  

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

1500(1.02)^x  +   600x

How much would $200 invested at 7% interest compounded annually be
worth after 5 years? Round your answer to the nearest cent.

Answers

Answer:

$280.51

Step-by-step explanation:

The formula we want to use:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where:

P is the principal

r is the the rate

n is the number of compounding per year

t is total number of years

A is the ending amount

We are given P=200, r=.07, n=1 (compounded once a year), t=5.

So plugging this in:

[tex]A=200(1+\frac{.07}{1})^{1 \cdot 5}[/tex]

Simplify a little:

[tex]A=200(1+.07)^{5}[/tex]

Just a little more:

[tex]A=200(1.07)^{5}[/tex]

Now I'm going to put the rest of this in the calculator:

200*(1.07)^5 is what I'm putting in my calculator.

This is approximately 280.5103461.

To the nearest cent this is 280.51

Which logarithmic equation has the same solution as x-4=2^3

Answers

Answer:

log₁₀ (10¹²)

Step-by-step explanation:

First you should find the solution to the given equation

x-4=2³

x-4=8

x=8+4=12

Now observe the behavior of logarithmic equations with the base 10

log₁₀ 100=2

log₁₀ 10000=4

log₁₀ 1000000=6

To get the answer to

log₁₀ y=12

Then y=10¹².........................how?

check for the first case

log₁₀ 100=2 this can be written as

10²=100

This means to get y in log₁₀y=12  you should rise the base to power 12

y=10¹²

This is to say that

log₁₀ (10¹²) = 12

HELP!!!!!!!!

Which expressions are equivalent to -7+3(-4e-3)?

Choose all answers that apply:

(Choice A)

-4(3e+4)

(Choice B)

12e

(Choice C)

None of the above

Answers

ANSWER

(Choice A)

-4(3e+4)

EXPLANATION

The given expression is

[tex] - 7 + 3( - 4e - 3)[/tex]

We expand to get:

[tex] - 7 - 12e - 9[/tex]

We regroup the terms to get:

[tex] - 12e - 9 - 7[/tex]

Simplify now to get:

[tex] - 12e - 16[/tex]

We now factor -4 to obtain:

[tex] - 4(3e + 4)[/tex]

The correct choice is A.

The expression simplifies to -16 - 12e. None of the given choices match this expression. Therefore, the correct answer is (C) None of the above.

To determine which expressions are equivalent to -7+3(-4e-3), let's simplify the given expression step-by-step:

Start by distributing the 3:

-7 + 3(-4e - 3) = -7 + (3 * -4e) + (3 * -3)

= -7 - 12e - 9

Now, combine the constants:

-7 - 12e - 9 = -16 - 12e

None of the provided choices are equivalent to -16 - 12e:

Choice A: -4(3e + 4) simplifies to -12e - 16, which is close but not equivalent.Choice B: 12e is not equivalent to -16 - 12e.Choice C: None of the above is the correct answer.

Is cos theta=cos(-theta)

Answers

Answer:

TRUE

Step-by-step explanation:

An even function is a function that satisfies that f(x) = f(-x). Also, we know that cosine is an even function, therefore cos(theta) equals cos(-theta).

Please help, I am just so bad at this specific subject. I cannot get the hang of it, it's just so trippy to me.

Answers

Answer:

142°

Step-by-step explanation:

The angles of 38° and m<7 both make supplementary angles which equal to 180. Subtract 180 by 38.

Answer:

142

Step-by-step explanation:

Line M is a straight line. All straight lines have an angle measurement of 180 degrees.

m<7 + 38 = 180                 Subtract 38 from both sides.

m<7 + 38 - 38 = 180 - 38

m<7 = 142

Jason deposits $5 into his savings account twice a week for 6 weeks. How much money will he have saved after 6 weeks?


Let s stand for the amount of money saved.


Equation:


How much money did he save?


Show your work.

First person who answers gets to be followed and marked brainliest.

Answers

Answer:

(5x2)6=60

60

Step-by-step explanation:

Answer:

Let s stand for the amount of money saved.

[tex]2*5(6)=s[/tex]

He saved $60.

[tex]s=2*5(6)=10*6=60[/tex]

Which of the following is three-dimensional and infinitely large?

Answers

Answer:

Option C Geometric space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Answer:

Geometric Space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

4. Perform the indicated operation on polynomials.
a. (4x2 + 5x - 7) + (2x2 - 7x - 3)
b. (8m - 2n - 4) - (6m - 3n + 2)
c. (30+4) (5c-2)

Answers

Answer:

A) 6x2-2x-10

B) 2m+1n-6

C) 170c-68

Step-by-step explanation:

4x2 + 2x2 = 6x2     5x -7x = -2x     -7 + -3 = -10

8m - 6m = 2m     -2n + 3n = 1n     -4 - 2 = -6

34 x 5c = 170     34 x -2 = -68

Answer:

Step-by-step explanation:

a) (4x2 + 5x - 7) + (2x2 - 7x - 3)

This is an addition question. We have to perform addition

The first step is open the parenthesis/brackets.

4x^2+5x-7 + 2x^2 -7x-3

Arrange the terms according to the exponents:

4x^2+2x^2-7x+5x-7-3

Combine the like terms:

6x^2-2x-10

Thus the answer is 6x^2-2x-10

b)  (8m - 2n - 4) - (6m - 3n + 2)

We have to perform subtraction:

There is a rule in the subtraction that when you open the brackets then the signs of 2nd bracket will be multiplied by the negative sign:

Open the brackets:

8m - 2n - 4 - 6m+3n-2

Arrange the terms:

8m-6m+3n-2n-4-2

Combine the like terms:

2m+n-6

Thus the answer is 2m+n-6

c) (30+4) (5c-2)

This expression shows the operation of multiplication:

Solve the first parenthesis.

(34)(5c-2)

Now multiply 34 by each term of 2nd bracket:

=170c-68

Thus the answer is 170c-68....

What is the total surface area of a rectangular prism that is 4 inches deep, 5 inches high, and 15 inches across?

Answers

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Find the distance between the points. (-4, -2) and (5, 2) ^97 2^14 2^5 ^5

Answers

Answer:

The distance between 2 points is √97 or 9.84

Step-by-step explanation:

The distance between two points can be found using distance formula:

[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2

Putting values:

[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]

So, the distance between 2 points is √97 or 9.84

Answer:

  =sqrt(97)

Step-by-step explanation:

The distance between the two points is found by

d = sqrt(( x2-x1)^2 + (y2-y1)^2)

   = sqrt( ( 5--4)^2 + (2--2)^2)

   = sqrt( ( 5+4)^2 + (2+2)^2)

   = sqrt( ( 9)^2 + (4)^2)

  = sqrt( 81 + 16)

  =sqrt(97)

Other Questions
If a parallel b and e parallel f what is the value of y Which of the following expressions represents the distance between -1/4 and 3/4? If Esther deposited $50 at the end of each month into an account with no interest, how much money would she have saved by the end of 12 months? In the second form of ____, the binary operation op is applied to the elements in the range.A.adjacent_findB.adjacent_differenceC.adjacent_member If possible, find a matrix B such that AB = A2 + 2A. Tyler and Katie started a lemonade stand to raise money. They donated \dfrac{2}{10} 10 2 ? start fraction, 2, divided by, 10, end fraction of their profits to their school library, \dfrac{1}{10} 10 1 ? start fraction, 1, divided by, 10, end fraction to the animal shelter, and \dfrac{4}{10} 10 4 ? start fraction, 4, divided by, 10, end fraction to the food bank. They saved the rest to buy materials for their next project. What fraction of their profits did Tyler and Katie donate? For each region of the lac operon on the F' plasmid, I+ P+ Oc Z Y+ , determine whether the region is wild type (that is, it produces a functional protein or it's a correct protein binding sequence) or whether the region is mutated. Select all that apply : (A) The promoter sequence is correct/functional.(B) The repressor protein is produced.(C) The operator sequence is correct/functional.(D) Beta-galactosidase is produced from the lacZ gene. (E) Permease is produced from the lacY gene. Financial Planning Partners Inc., employs 12 full-time CPAs and 10 paraprofessionals. Direct and indirect costs are applied on a professional labor-hour basis that includes both attorney and paraprofessional hours. Following is information for 2018: Budget Actual Indirect costs $300,000 $309,000 Annual salary of each attorney $118,000 $128,000 Annual salary of each paraprofessional $31,500 $32,500 Total professional labor-hours 50,000 dlh 56,000 dlh When using a normal costing system, year-end accounting records will show that indirect costs are __________. A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 23.45 and the critical Chi square is 9.488. What may be concluded? a. reject the null hypothesis, church attendance and marital status are dependentb. reject the null hypothesis, church attendance and marital status are independentc. fail to reject the null hypothesis, church attendance and marital status are dependentd. fail to reject the null hypothesis, church attendance and marital status are independent Angelo, Brandon, and Carl work in the same office. Angelos age is 4 years more than twice Carls age. Brandon is 5 years younger than Carl. The average of the three ages is 41. Part A: Use a variable to define the age of one of the men. Part B: Use the variable in part A to represent the ages of the other two men. Part C: Write an equation that represents the average of the three men's ages equivalent to 41. Part D: Find the age of each of the men. Which of the following ratios useful in assessing the liquidity position of a company?Incorrect A. Both defensive-interval ratio and return on stockholders' equityB. Defensive-interval ratio onlyC. Return on stockholders' equity onlyD. Neither defensive-interval ratio nor return on stockholders' equity Find the distance between the points (0, 1) and (3, 3). A. 25 B. 5 C. 13 D. 13 Kathleen is a member of the human resource department at Jade Corp. Setting a goal to enhance the firm's strategy, Kathleen works to attain it by understanding the current human resources. Through a series of surveys, interviews, and observations, she learns what talents the various departments of Jade Corp. are currently in need of, and attracts new human resources according to those requirements. What kind of HRM responsibility does this example illustrate? M1Q7.) Construct a box plot from the data below Which evidence from the passage best supports Wiesel's claim that Jewishpeople are not the only ones who are oppressed?OA. And Nelson Mandela's interminable imprisonmentB. I am a JewOC. It would be unnatural for me not to make Jewish priorities myownOD. I belong to a traumatized generation Apex The net of a solid is the view from above the solid. True False 51 males to 21 females ratio or rate as a fraction A wholesaler sued a retailer in a federal court in State A. The retailer timely filed and served a motion to dismiss for lack of subject matter jurisdiction. The court denied this motion.Thereafter, the retailer filed and served his answer. Ten days after serving his answer, the retailer filed an amended answer, raising, for the first time, the defense of lack of personal jurisdiction, which was available when the motion mentioned above was filed.Should the court consider the personal jurisdiction objection?A No, because that defense has been waived.B No, because objections to personal jurisdiction may only be made by making a motion to dismiss before filing an answer.C Yes, because the retailer may serve an amended answer as of right within 21 days after serving his original answer.D Yes, because the amendment relates back to the original answer, thus preserving his right to raise the objection. All of the following are tips for a great presentation EXCEPT ________. limit bullet points per slide to 4-6 keep the font size large enough to be read from the back of the room use images to convey a thought or illustrate a point use a variety of animations on most slides to keep your audience's attention A ________ is a composition for three, four, or five parts played or sung by voices or instruments; it begins with a presentation of a subject in imitation in each part and continues with modulating passages of free counterpoint and further appearances of the subject.