Determine the interval(s) for which f(x) ≥ 0. f(x) = x − 2

Answers

Answer 1

The interval(s) for which f(x) ≥ 0. is x ≥ 2

How to determine the interval(s)?

The function is given as:

f(x) = x - 2

Also, we have:

f(x) ≥ 0

This means that

x − 2 ≥ 0

Add 2 to both sides of the inequality

x ≥ 2

Hence, the interval(s) for which f(x) ≥ 0. is x ≥ 2

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Related Questions

Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.


Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40


Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)

Part B: Based on your answer in part A, which location offers a better deal? Explain

Answers

Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

How to determine the unit price of the item at each location?

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

Farmer's Market

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Which expression is equivalent to −6(23−12)?
A
3(−2−1)

B
(4−3)

C
2(−3+1)

D
(−4+3)

Answers

Answer:

C

Step-by-step explanation:

This exercise examines the accuracy of various branch predictors for the following repeating pattern (e.g., in a loop) of branch outcomes: T, NT, T, T, NT.
a. What is the accuracy of always-taken and always-not-taken predictors for this sequence of branch outcomes?
b. What is the accuracy of the 2-bit predictor for the first four branches in this pattern, assuming that the predictor starts off in the bottom left state (predict not taken)?
c. What is the accuracy of the 2-bit predictor if this pattern is repeated forever?

Answers

Answer:

attached below is the missing part of the question and the solution

A) 60%, 40%

B) 25%

C) 60%

Step-by-step explanation:

a) The accuracy of always-taken for this sequence of branch outcomes = 60%

The accuracy of always -not-taken for this sequence of branch outcomes = 40%

b) The accuracy of the 2-bit predictor for the first four branches assuming that the predictor starts off in the bottom left state = 25%

C)the accuracy of the 2-bit predictor if this pattern is repeated forever = 60% ( was stopped after the fourth iteration because the fourth and third iterations are the same)  =

This exercise examines the accuracy of various branch predictors for the following repeating pattern
This exercise examines the accuracy of various branch predictors for the following repeating pattern
This exercise examines the accuracy of various branch predictors for the following repeating pattern

Use the table of values for
y = f(x)
to complete a table for
y = f −1(x).
(Order your answers from smallest to largest x-value.)

Answers

The table containing the values of the inverse function is given at the end of the answer.

How to find the set of points (x,y) of a inverse function?

A function will have a set of points (x,y). In the inverse function, the values of x and y are exchanged with each other, hence the rule is:

(x,y) -> (y,x).

Hence, the points are found as follows:

On the original function, when x = -4, f(x) = 10. Then, on the inverse function, when x = 10, f^-1(x) = -4.On the original function, when x = -3, f(x) = 0. Then, on the inverse function, when x = 0, f^-1(x) = -3.On the original function, when x = -2, f(x) = -10. Then, on the inverse function, when x = -10, f^-1(x) = -2.On the original function, when x = -1, f(x) = -20. Then, on the inverse function, when x = -20, f^-1(x) = -1.On the original function, when x = 0, f(x) = -30. Then, on the inverse function, when x = -30, f^-1(x) = 0.On the original function, when x = 1, f(x) = -40. Then, on the inverse function, when x = -40, f^-1(x) = 1.

The table containing these values is given at the end of the answer.

What is the missing information?

The tables are missing, and are given at the end of the answer.

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Use the table of values for y = f(x) to complete a table for y = f 1(x). (Order your answers from smallest

Which division problem does the number line below best illustrate? A number line going from 0 to 13. An arrow jumps from 0 to 3, from 3 to 6, from 6 to 9, and from 9 to 12. 12 divided by 3 = 4 9 divided by 3 = 3 12 divided by 2 = 6 16 divided by 4 = 4

Answers

Answer:

which might help. It sounds like you have 4 semicircles which can be thought of as a division problem 12/3 = 4. Note how I'm dividing by 3 which is the width of each section (eg: from 6 to 9 is 9-6 = 3 units)

Step-by-step explanation:

Answer:

idek i need help too!!

Step-by-step explanation:

Help pleaseeeee......!

Help pleaseeeee......!

Answers

Answer:

D.) QS ≅ NR

Step-by-step explanation:

Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)

Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.

Question
Refer to section 1.3.2, Credit scores, beginning on page 22 of the report.
Arrange the five tiers of credit scores in order, starting with the lowest tier of credit scores.

QuestionRefer to section 1.3.2, Credit scores, beginning on page 22 of the report.Arrange the five tiers

Answers

The five credit score tiers are listed in ascending order, starting with the lowest tier:

Deep Subprime < Subprime < near prime < prime < super prime

A consumer's credit score may have a big impact on their ability to receive credit. These interactive infographics show how lending practices have changed for borrowers with various credit score profiles.

We focus on the five credit score levels that are commercially available.

The range of subprime credit scores is 580 to 619.

The range of Prime's credit score is from 660 to 719.

Deep subprime credit scores fall below 580.

Near prime credit scores range from 620 to 659.

Super prime credit is defined as having a score of 720 or higher.

The following are the five credit scores, listed from lowest to highest:

Deep Subprime < Subprime < near prime < prime < super prime

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you lend $240 to your friend he pays you back $270 what intrest did he pay you

Answers

Answer:

he got you 30 more dolla bills son

Step-by-step explanation:

HURRY AND ANWSER BRO ILL GIVE BRAINLIST AND POINT

Question 4(Multiple Choice Worth 2 points)

(Line of Fit MC)

Data was collected on the weight, in ounces, of kittens for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 4.05 + 0.4d, where w is the weight of the kitten in ounces and d is the age of the kitten in days.

What is the w-intercept of the line of fit and its meaning in terms of the scenario?

4.05; for each additional day after the kitten is born, its weight is predicted to increase by 4.05 ounces
4.05; a kitten who is just born is predicted to weigh 4.05 ounces
0.4; for each additional day after the kitten is born, its weight is predicted to increase by 0.4 ounces
0.4; a kitten who is just born is predicted to weigh 0.4 ounces

Answers

A kitten who is just born is predicted to weigh 4.05 ounces and its weight is predicted to increase by 0.4 ounces. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Information was gathered on the weight, in ounces, of cats for the initial three months after birth. A line of fit was drawn through the dispersed plot and had the condition w = 4.05 + 0.4d, where w is the heaviness of the cat in ounces and d is the age of the little cat in days.

A kitten who is just born is predicted to weigh 4.05 ounces and its weight is predicted to increase by 0.4 ounces. Then the correct option is B.

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M is the midpoint of segment AB. If AM = 4x – 22 and MB = 2x + 14. Solve for x

Answers

Answer:

x=18

Step-by-step explanation:

am=by which means you can make the equations equal each other

4x-22=2x+14

2x=36

x=18

Find the length of wire required to fence it with three rounds. (i) If the rate of cost of fencing is Rs 25 per metre, find the total cost of fencing. b) Charimaya is running a race around a square track of length 75 m. Find the distance covered by her at the end of her fifth round. c) 540 m of wire is required to fence a square shaped of fish pond with three rounds. What is the length of wire required for one round? What is the perimeter of the pond? (ii) (iii) Find the length of the pond. Creative Section - B A rectangular ground is 25m long and 18m broad. (i) Find its perimeter. (ii) How many metres does a girl run around the ground when completes five rounds? b) Mrs. Kanchhi Tamang has a vegetable garden of length 30m and br 18m. (1) Find its perimeter. quired to fence it with 3 rounds.​

Answers

The lengths and breadths of the rectangular shaped figures indicates;

a) i) Rs 6,900

b) 1500 m

c) (i) 180 m, (ii) 180 m, (iii) 45 m

Creative section B) (i) 86 meters, (ii) 430 meters

b) (i) 288 meters

What is a rectangle?

A rectangle is a quadrilateral that has congruent facing sides and four interior right angles.

The possible part of the question includes;

The length of the fence = 27 meters

The breadth = 19 meters

The perimeter of the fencing = 2 × (27 + 19) = 92 meters

The length of three round of fencing = 3 × 92 meters = 276 meters

(i) The cost per meter = Rs 25

The total cost of fencing = Rs 25/m × 276 m = Rs 6,900

b) The length of the square track = 75 m

The distance at covered after the 5th round = 5 × 4 × 75 m = 1500 m

c) (i) The length of wire required for one round = 540 m/3 = 180 m

(ii) The perimeter of the pond = 180 m

(iii) The length of the pond = 180 m/4 = 45 m

Creative Section;

(i) The perimeter = 2 × (25 + 18) = 86 meters

(ii) The distance the girl runs after five rounds = 5 × 86 meters = 430 meters

b) i) The perimeter required to fence Mrs. Kanchhi's the vegetable garden with 3 rounds = 3 × 2 × (30 m + 18 m) = 288 m

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2. Penny's son Chase wanted to go to the driving
range to hit some golf balls. Penny gave the pro-
shop clerk $60 for three buckets of goif halls and
received $7.50 in change. What was the cost of
each bucket?

Answers

Answer:

$17.50 for each bucket

Step-by-step explanation:

60.00

-7.50

52.50

52.50÷3=17.50

i need help please!!

i need help please!!

Answers

A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.

How do you find the inverse of a composite function?

A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.

When determining the inverse of a function, we write down the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y.(f∘f−1)(x)=(f−1∘f)(x)=x.

The function and its inverse are composed of x as well, but only on an interval, if the domain or range of f(x) is constrained.

If f(x) and g(x) are two functions which are Inverses of each other then either of two will be true.

→fog(x)=x

= 1/ (5 + 1/x)

1/1/x

=x

→ gof (x)=x

⇒fog(x)

=f[g(x)]

→ gof (x)

=g[f(x)]

g (1/x - 5)

= 5 + x -5

= x

Which shows that f(x)  and g(x) are inverses of each other.

→Domain of f(x)= All Real numbers excluding 5=R-{5}

→Domain of g(x)=All Real numbers  excluding 0=R-{0}

→Domain of fog(x)=All Real numbers

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What are the multiplicative and additive inverses of -7?

a
multiplicative inverse 1/7; additive inverse -7
b
multiplicative inverse 1/7; additive inverse 7
c
multiplicative inverse -1/7; additive inverse -7
d
multiplicative inverse -1/7; additive inverse 7
pleaase help im have a 77 in her class smh

Answers

A. Is the correct answer

Enter the equation of the circle with the given center and radius. Center: (−2, −5); radius= 1

Answers

Answer:

\((x + 2)^2 + (y + 5)^2 = 1\)

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center \((x_0,y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

Center: (−2, −5); radius= 1

This means that \(x_0 = -2, y_0 = -5, r = 1\). So

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

\((x - (-2))^2 + (y - (-5))^2 = 1^2\)

\((x + 2)^2 + (y + 5)^2 = 1\)

This is the equation of the circle.

YO HELP PLEASE PLEASE

YO HELP PLEASE PLEASE

Answers

X = 6.4
You can solve this by counting how long the sides of the triangle would be (if you drew the triangle). Then use the Pythagorean theorem (I wrote it for you) and solve
YO HELP PLEASE PLEASE

Please help me with this question

Please help me with this question

Answers

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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The table below shows the ratio of materials in a composting container.


Brown Material (gallons) 12.75 18.6 24 E
Green Material (gallons) 4.25 B D 11.5
Total (gallons) A C 32 46


If Jeremy needs 52 gallons of compost to plant his garden in the spring, how much brown material will he need? How much green material will he need?

Answers

Using proportions, the amounts needed of brown and green material for 52 gallons of compost are given as follows:

Brown material: 39 gallons.Green material: 13 gallons.

What is a proportion?

A proportion is a fraction of a total amount, and in problems involving it, basic arithmetic operations such as multiplication or division are used along with the unit rates to find the equivalent measures.

On the first column of the table, the total amount is:

12.75 + 4.25 = 17 gallons.

The fractions of each material are given as follows:

Brown material: 12.75/17 = 0.75Green material: 4.25/17 = 0.22.

Hence the amount of brown material needed with 52 gallons is:

0.75 x 52 = 39 gallons.

The amount of green material needed with 52 gallons is:

0.25 x 52 = 13 gallons.

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Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x

Answers

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

RATE OF CHANGE:
At the bakery shop, each baker works at his or her own speed, making the same
number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60
cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes
made and days, who has the steepest graph? Explain.

Answers

Answer:

Carlos

Step-by-step explanation:

Hope this helps

Select the correct answer. Consider the following system of equations. y − 10 = 7x y = x2 + 4x Determine which resulting quadratic equation would be a step in solving the given system of equations. x2 − 3x − 10 = 0 x2 − 3x + 10 = 0 x2 + 3x + 10 = 0 x2 + 3x − 10 = 0

Answers

Answer:

To solve the system of equations, we can substitute the expression for y in the first equation into the second equation and get:

x^2 + 4x - 10 - 7x = 0

Rearranging the terms and simplifying, we get:

x^2 - 3x - 10 = 0

Therefore, the quadratic equation that would be a step in solving the given system of equations is:

x^2 - 3x - 10 = 0

So, the correct answer is: x^2 - 3x - 10 = 0

What is the equation in the slope intercept form of the line that passes through the point (3,8) and is perpendicular to the line represented by y= -3/4 x-2

Answers

the line is perpendicular to the line:

\(y=-\frac{3}{4}x-2\)

this means that the slope of the line will be the negative reciproc of the other line so it would be:

\(m=\frac{4}{3}\)

now with the slope and the coordinate (3,8) we can find the intersection with the y axis by replacing x = 0 so

\(\begin{gathered} y-y_1=m(x-x_1) \\ y-8=\frac{4}{3}(0-3) \end{gathered}\)

and we solve for y

\(\begin{gathered} y=-4+8 \\ y=4 \end{gathered}\)

So finally we can write the general equation like:

\(y=\frac{4}{3}x+4\)

where m = 4/3 and c = 4

Help quick please im down bad

Help quick please im down bad

Answers

hope you get an answer, sorry im no help

in rhombus BEAC diagonals BA and EC intersect at H If EA=5 and AH=3 what is the length of EH?

Answers

Answer:

we, don't know

Step-by-step explanation:

sorry! You can ask experts

NO LINKS!!! URGENT HELP PLEASE!!!!
Please help me with 23 and 25

Part 2: Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or not similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer

NO LINKS!!! URGENT HELP PLEASE!!!!Please help me with 23 and 25Part 2: Using the information given in

Answers

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

NO LINKS!!! URGENT HELP PLEASE!!!!Please help me with 23 and 25Part 2: Using the information given in

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

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

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

angle UNC = angle TCN (light blue)angle UNL = angle TCH (light pink)

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

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

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

NO LINKS!!! URGENT HELP PLEASE!!!!Please help me with 23 and 25Part 2: Using the information given in
NO LINKS!!! URGENT HELP PLEASE!!!!Please help me with 23 and 25Part 2: Using the information given in

A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road

Answers

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

(4,3)(-5,2) solve and plot example is in the photo​

(4,3)(-5,2) solve and plot example is in the photo

Answers

The slope of the line that passes through the points is;
m = 1/9

How to Calculate Slope of a Line?
The slope of a line is its vertical change divided by its horizontal change, also known as rise over run. When you have 2 points on a line on a graph the slope is the change in y divided by the change in x.

We are given x-coordinates and their corresponding y-coordinates.

The formula to find the slope between 2 coordinates of a line is given by;

Slope Formula :

m = (y₂ - y₁)/(x₂ - x₁)

Here you need to know the coordinates of 2 points on a line, (x₁, y₁) and (x₂, y₂).

Point 1 = (4,3)
Point 2 = (-5,2)

x₁ = 4
y₁ = 3
x₂ = -5
y₂ = 2

Plug these four values into the slope formula and simplify,

m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 3)/((-5) - 4)
m = (-1)/(-9)
m = 1/9

Thus, in conclusion, the slope of the line that passes through the points is 1/9

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g(t) = 2.0.4 for t = -2

Answers

Answer:

6

Step-by-step explanation:

6

Turn this into a formula and step by step on how to solve it.

Turn this into a formula and step by step on how to solve it.

Answers

Answer:

1080

Step-by-step explanation:

if  you are trying to find the volume the formula is

width x length x height

if you plug in 6x15x12 you get 1080 so the volume of the figure is 1080

El punto P está en el exterior de una circunferencia C en el plano. ¿Cuál es el número máximo
de puntos de C que se encuentran a 3 cm de P?
A) 1
B) 2
C) 3
D) 4
E) 8

Answers

The correct response is 4. We can consider the following construction to understand why: We drew a 3 cm radio circle with the center located at P. Llamemoso C1.

What exactly is a circle's radio?

Half of a circle's diameter corresponds to its radius. The radius equals 5 cm for a 10 cm diameter.

So, in order for C2 to intersect C, the straight line connecting P and C's center must be contained within C2, that is, it must be separated from C's center by a distance less than r. In other words, we need that:

r > d + 3

the distance between the center of C and the straight line connecting P and the center of C is where d. Its distance, d, is same to that between P and the center of C, minus C1's radio. Defined as,

d = PC - 3

where PC denotes the distance between P and C's center.

Thus, we require that:

r > PC - 3 + 3 = PC

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a client who has been taking acetaminophen 1000 mg every 4 hours presents to the urgent care center with increased abdominal pain, elevated alt, ast, and bilirubin levels. the nurse suspects the client is experiencing: h(x)=4x+5g(x)=-2^2+2xFind (h*g)(5) An office machine a purchased to $6300. Assume that its salvage balu, V, in dollars, depreciates, according to a method called double declining balance, by 20% each year and is give by V(t) = 6300(0,80), where t is the time in years, after purchase.a. Find V(B)m and explain its meaningb. Find V'(B)m and explain its meaningc. When will the salvage value of the officec machine be half of the purchase The perimeter of a square ground is 147.2m. Find it's length.Please help me find the length David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and each burrito for $7.75. Yesterday David made a total of $519.25 in revenue from all taco and burrito sales and there were twice as many tacos sold as there were burritos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system. 1.1. Suppose that the demand curve in a particular market is given by P= 100 Q. The constant (i.e. flat) marginal cost of producing the good in question is 40. Suppose further that the market is served by a monopolist. What will be a monopolists price and quantity and calculate (in $) the dead weight loss.1.2. On a graph, illustrate this monopoly market. Label the marginal cost curve, the demand curve, the marginal revenue curve, all x and y intercepts, the monopolists price and quantity, the CS, PS, and DWL.1.3. In order to regulate the monopoly market, the government has decided to implement optimal price regulation. As we discussed in class, optimal price regulation is when the government says that the monopolist can not charge a price that is higher that the competitive equilibrium. In one or two sentences, what is one possible reason why the optimal pricing regulation might fail to achieve the efficient level of output in the real world? Question 20 (1 point)Language Development: Conventions and StyleIdentify the choice that best answers the question.Which of the following poetic conventions is illustrated in these lines of verse?Winter came before the last leaf fell;Snows covered the browns of autumn.ObOdrepetitionenjambmentstanza breaksend-stopped lines PRETTY PLS HELPP IM TIMED SPANISH 1B: Unit 4 Writing AssignmentGo to Slide 9 in the My Immediate Family Tutorial and look at the family tree. Then answer the questions below in complete SPANISH sentences.1. Quin es la esposa de Agustn?2. Cmo se llama el hermano de Andrea?3. Roberto tiene esposa?4. Cuntos nios tienen Rodrigo y Carla? Cmo se llaman los nios?5. Quin es el abuelo de Juan?6. Son Carla y Andrea hermanas o primas?7. Son Rodrigo y Roberto hermanos o cuados?8. Quin es la ta de Carla? If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is 1/2 . Find the original rational number. Community Collcge Universify (CCU), is a newly estabished private communty college and curfently meiruzios ts performance by comparing its actual costs against its budgeted costs for the year. CCu is faciny hatreased competican iom other wducation providers. Herice, one of its academic staff has sugested to CCu manageinent to consider aide tornit perforimance measures such as those indicated by the Balariced scorecisfd. (a) Explain the concepts of the Balanced Scorecard and how this approach to performance measurement could be uned ty the college it was after checking out the situation that these citizens decided that the martians had indeed invaded earth. this exampels illustrates that contagion 50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAPAurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.(1, 2), (2, 4), (3, 8), (4, 16)Use a recursive formula to determine the time she will complete station 5. Show your work.Geometric Recursive Formulaf(n) = f(n 1) r We considered various ways to value company equity. Which of the following statements isTRUE?A) The constant dividend growth model implies that a company is valued as a growing perpetuity.B) The Total Payout Model discounts cash flows to shareholders using the cost of debt as discountrate.C) The Free Cash Flow Model discounts the free cash flow per share using the cost of equity in orderto obtain the value of one share.D) A corporations enterprise value equals its market capitalization when the firms has no debt butnonzero cash holdings. During rounds, a client admitted with gross hematuria asks the nurse about the physician's diagnosis. To facilitate effective communication, what should the nurse do?1. Ask why the client is concerned about the diagnosis.2. Change the subject to something more pleasant.3. Provide privacy for the conversation.4. Give the client some good advice. Let n be an odd integer. Prove that n3n is divisible by 24 . The following two problems are only appropriate if you took at least two semesters of calculus. Though you may have worked these before, the idea is to work them again paying close attention to the final presentation. Make sure you define all variables. Use complete sentences, with proper punctuation. please help!!! Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as f(x), and the number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Month f(x) = No. of imports g(x) = No. of exportsJanuary (1). 2 3February (2) 4 4March (3) 6 5April (4) 8 6 Determine whether the set StartSet left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 0 3rd Row 1st Column negative 3 EndMatrix right bracket comma left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 3 2nd Row 1st Column 1 3rd Row 1st Column 6 EndMatrix right bracket comma left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column negative 1 3rd Row 1st Column 0 EndMatrix right bracket EndSet 1 0 3 , 3 1 6 , 1 1 0 is a basis for set of real numbers R cubed3. If the set is not a basis, determine whether the set is linearly independent and whether the set spans set of real numbers R cubed3. Which of the following describe the set? If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof besides the shape of the landmasses, what other evidence did alfred wegener collect to support his hypothesis of continental drift? What is a general name for all the parts within a cell?