show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle​

Answers

Answer 1

Answer:

  the sides are different lengths as shown in the diagram

Step-by-step explanation:

Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.

A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.

Show That The Point P(-6,2), Q(1,7) And R(6,3) Are The Vertices Of Scalene Triangle

Related Questions

i back at you with another question..!

Answers

Answer:

Identity Property of Multiplication

Step-by-step explanation:

The Identity Property of Multiplication states that any number multiplied by 1 will equal the same number.

Since we have one item that costs $14.50, we know that the total cost will be $14.50 since we are multiplying $14.50 by 1.

Hope this helped!

Answer:

Identity property of multiplication.

Step-by-step explanation:

When we multiply any number by 1, we will get the same number.

5 *1 = 5

-8 * 1 = -8

A car leaves Orlando, FL and travels east toward West Palm Beach. The
equation D = 280-59t can be used to represent the distance, D, from
Orlando after t hours. In this equation, the 59 represents
A.the car's distance from Orlando
B.the speed of the car
C.the distance between Orlando and West Palm Beach D.the number of hours driving

Answers

Answer:

Step-by-step explanation:

A) 280 Km

B)  When D = 0:  speed, S = 280/59 = 4,9 Km/hour

C) 280 Km

D)  59 hours

The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens' answers. If there are 140,000 citizens in the community, how many chose Fish or Cats?

Answers

Incomplete Question:

The content of the pie chart is as follows:

Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23%

Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

[tex]Percentage = Cat + Fish[/tex]

Substitute 23% for cat and 11% for fish

[tex]Percentage = 23\% + 11\%[/tex]

[tex]Percentage = 34\%[/tex]

Next, is to multiply the calculated percentage by the number of citizens

[tex]Cat\ or\ Fish = Percentage * Number\ of\ Citizens[/tex]

[tex]Cat\ or\ Fish = 34\% * 140000[/tex]

[tex]Cat\ or\ fish = 47600[/tex]

Hence, the number of citizens who chose cat or fish is 47,600

the number of citizens who chose cat or fish is 47,600

The calculation is as follows;

= Number of citizens × total percentage

[tex]= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%[/tex]

= 47,600

Learn more: https://brainly.com/question/17429689?referrer=searchResults

Which answer choice identifies the relevant information in the problem? Sarah left the house at 12:15 p.M. To go to the store. She spent $42.20 on 2 books for her children and she spent $5.67 on a toys for her dog, Rover. Sarah arrived home at 1:00 p.M. How much did Sarah spend on each book? A. She spent $42.20 on 2 books. B. She spent $42.20 and $5.67. C. She left the house at 12:15 p.M. And arrived home at 1:00 p.M. D. You need to know how many children she has to solve the problem.

Answers

Answer:

Answer choices A, B and C identifies the relevant information in the problem

Step-by-step explanation:

Sarah left the house at 12:15 pm

She spent $42.20 on two books for her children

She spent $5.67 on a toy for her dog

Sarah arrived home at 1:00 pm

How much did Sarah spent on each book?

If she spent $42.20 on two books for her children,

Then, it means she has two children and the book cost $21.10 each

Answer choices A, B and C identifies the relevant information in the problem

Answer:

its A all the other one dont make sence sorry if im wrong but i got it right on my test

Step-by-step explanation:

If p varies directly with T and p =105 when T=400.Find p when T =500

Answers

Answer:

p = 131.25

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

[tex]k = \frac{21}{80} [/tex]

So the formula for the variation is

[tex]p = \frac{21}{80} T[/tex]

when

T = 500

Substitute it into the above formula

That's

[tex]p = \frac{21}{80} \times 500[/tex]

Simplify

The final answer is

p = 131.25

Hope this helps you

I need a lot of help

Answers

To add fractions with different denominators you must find the highest common factor (the highest number they both go into).

For 1 - The highest common factor is 8, 2x4 = 8, 4x2 = 8

now, whatever you do to the bottom, you must do to the top.

So:

3 x 2 = 6 and 5 x 4 = 20

Therefore, your answer would be 6/8 + 20/8

You do that for the rest of them as well, do you get it?

Answer:

3/4 + 5/2 = 3/4 + 10/4 = (3+10)/4 = 13/4  

    3.  4/15 + 4/5 = 4/15 + 12/15 = (4+12)/15 = 16/15

    5.  2/3  + 7/10 = 20/30 + 21/30  = (20+21)/30 = 41/30

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun three times, find the probability it will land on green every time.

Answers

Answer:

The probability it will land on green every time is [tex]\frac{1}{27}[/tex].

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

As we know that the probability of an event is described as;

  Probability of an event =  [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

Now, the probability it will land on green every time is given by;

        Probability =  [tex]\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}[/tex]

                           =  [tex]\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}[/tex]

                           =  [tex]\frac{1}{27}[/tex]

Hence, the probability it will land on green every time is [tex]\frac{1}{27}[/tex].

Using the concept of probability, the probability of landing on green for all 3 spins is [tex] \frac{1}{27}[/tex]

Total number of portions = (3 + 2 + 1) = 6

Recall :

[tex] P = \frac{required \: outcome }{total \: possible \: outcomes}[/tex]

Probability of rolling green on a single spin :

[tex] P(green) = \frac{2}{6} = \frac{1}{3}[/tex]

Therefore, the probability of obtaining green on all spins :

[tex] P(3 green) = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}= \frac{1}{27}[/tex]

Learn more : https://brainly.com/question/15929089

Brenda has an associate’s degree earning the median salary. She wants to quit working and go to college to get just a basic bachelor’s degree. If she completes her degree in 2 years and it costs $15,000, how long will it take her to recover her investment assuming that she earns the median salary? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. almost 6 years b. almost 7 years c. almost 8 years d. almost 9 years

Answers

Answer:

  a. almost 8 years

Step-by-step explanation:

Brenda's expected annual increase in salary is ...

  $63,292 -45,258 = $18,034

If we assume that Brenda's cost of education includes going without 2 years' salary as well as the cost of tuition, her degree's total cost will be ...

  2×$45,258 +15,000 = $105,516

__

Once Brenda starts earning again, she is recovering this cost at the rate of $18,034 per year, so it will take ...

  $105,516/($18,034 /yr) = 5.85 yr

to recover that cost.

Since Brenda spent 2 years in school, from the time she decides to start school until she has recovered her cost, it will be 2 + 5.85 = 7.85 years, almost 8 years.

_____

If Brenda can continue working while going to school, she can recover her tuition cost in about 10 months after graduation.

Answer:

C

Step-by-step explanation:

PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

 

Step-by-step explanation:

The shaded regions consist of a triangle and a semicircle

Area of shaded regions = Area of Triangle + Area of semicircle

Area of Triangle = (h x b) ÷ 2

Height, h = 10 cm

Base, b = 8 cm

Are of the triangle component = (10 x 8) ÷ 2

= 80 ÷ 2

= 40 cm^2

 Area of semicircle = πr^2 ÷ 2

Diameter, D = 8 cm

Radius, r = 8 cm ÷ 2 = 4 cm

Are of the semicircle component = [π(4^2) ÷ 2)

= 16π ÷ 2

= 16π cm^2

 Total area of shaded regions

= (40+16π) cm^2

= 8 (5 +2π) cm^2

Answer:

[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]

[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]

Step-by-step explanation:

Area of the figure:

Firstly: Area of semicircle:

[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]

Then Area of Triangle

[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]

Area of Figure = Area of Semicircle + 2(Area of triangle)

=> 8π + 2(20)

=> 8π + 40 cm²

Perimeter of Semicircle:

Firstly, we'll have to find the hypotenuse

[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]

Then, Perimeter of the semi-circle:

=> πr

Where r = 4 cm

=> 4π

Now, the perimeter of the whole figure:

=> 4π + 2(11)

=> 4π + 22 cm

Help I don’t know the answer

Answers

Answer:

(D) 6

Step-by-step explanation:

We can substitute the values of a (7) and b (-4) into the equation to find it's result.

[tex]\frac{|2a| -b}{3} \\\\\\\frac{|2\cdot7|-(-4)}{3}\\\\\frac{|14|+4}{3}\\\\\frac{14+4}{3}\\\\\frac{18}{3}\\\\ 6[/tex]

So 6 is the value of this expression when a is 7 and b is -4.

Hope this helped!

2 liters is equivalent to how many ounces

Answers

Answer:

hey hon! 2 liters is equal to 67.628 fluid ounces :) hope you have a nice day.

Write 70cents to $1.80 as a fully simplified ratio by first converting to the same units, and then simplifying.

Answers

Answer:

7 : 18

Step-by-step explanation:

1. Convert to the same units (cents)

70 cents = 70 cents

$1.80 = 180 cents

2. Simplify

70 : 180 (divide both by ten)

7 : 18

7 and 18 cannot be simplified any further.

Cory remembers that his ATV had 4 gallons of gasoline in the tank on Monday. After driving a total of 40 miles during
the week, he has 2 gallons of gas remaining. Find the slope of the graph representing this situation.

Answers

Answer:

-1/20

Step-by-step explanation:

For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.

To find slope the formula is (y2-y1)/(x2-x1)

So in this case it is 2-4/40-0

-2/40

This reduces to -1/20

The area of a trapezium is 105cm² and its height is 7 cm. If one of the parallel sides is longer than the other by 6cm, find the lengths of two parallel sides.

Answers

Answer:

Step-by-step explanation:

In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.

Answers

Answer:

the perimeter of ΔABC is 32in

Step-by-step explanation:

We know that intersection point of the angle bisectors refers to the incenter of the triangle,.

Given tmthe radius of 4inch for the centre of the incircle.

One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value

In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as

d = 1/2(a +b -c)

And a, b, c represent lengths of the sides

We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the

distance from the right-angle vertex C to the incircle touchpoints .

We can determine the sum a+b as

4 = (1/2)(a+b -12) .

4/(1/2)= (a+b -12)

8= (a+b -12)

20=a+b

Which is the addition of length of the two legs of the triangle.

We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.

perimeter = 20 in + 12 in = 32 in

Therefore, the perimeter of ΔABC is 32in

The total price of four oranges and five pears is $32 while the total price of three oranges and two pears is $17. How much is a pear?

Answers

Answer:

A pear is 3.4

Step-by-step explanation:

Answer: A pear cost $4.

Step-by-step explanation:

If the total price of four oranges and five pears is $32 then we could represent it by the equation  4x + 5y = 32   where x is cost of one orange and y is the cost of one pear.

The same way we could represent the second statement by the equation

3x + 2y = 17      

We know have the two systems of equations:

4x + 5y = 32

3x + 2y = 17         Solve using the elimination method

  Multiply the top equation by -3 and the down equation by 4 to eliminate x.

-3(4x + 5y) = -3(32) =  -12x - 15y = -96

 4(3x +2y) = 4(17)  =   12x + 8y = 68    

We now have the two new equations:

-12x -15y = -96      Add both equations

12x + 8y = 68            

      - 7y = -28

     y= 4    

Which means the cost of one pear is $4.

Find the surface area of a
sphere with a diameter of
15 in.
Can someone please explain how?

Answers

Answer:

About 706.5 square inches.

Step-by-step explanation:

Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]

The radius is half the diameter. So, the radius of the given sphere is 7.5 in.

15/2 = 7.5

Find the surface area:

I use 3.14 for pi.

[tex]SA=4*3.14*7.5^2\\\\SA=4*3.14*56.25\\\\SA=12.56*56.25\\\\\boxed{SA=706.5}[/tex]

The surface area is about 706.5 square inches.

Hope this helps.

Answer:

SA=706.86 in²

Step-by-step explanation:

surface area of a sphere = 4πr²

radius r=d/2=15/2=7.5

SA=4(π)(7.5)²

SA=706.86 in²

the cost of cementing a wall 8 feet wide and 24 feet long at 14.40 a square yard is

will mark brainlist

Answers

Answer:

$307.20

Step-by-step explanation:

8×24=192

Convert 192 square feet to square yards, which is 21.3333

Then multiple: 21.333×14.40=307.1999

Then round to the nearest hundredths

The final answer is $307.20

what amount is 10% more than RS. 90?​

Answers

Answer:

99

Step-by-step explanation:

x = 90 x 10/100 + 90

=> x = 900/100 + 90

=> x = 9 + 90

=> x = 99

2. Describe the means-extremes property.

Answers

Step-by-step explanation:

For example:

Ex: 2:3 :: 6:9

In this question, the means are 3 and 6.

The extremes are 2 and 9.

We use this method to find whether the two ratios are equal or not.

We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.

If these two ratios are proportional, their "means" = "extremes"

=> Means = Extremes

=> 3 x 6 = 2 x 9

=> 18 = 18

So, these two ratios are proportional.

Hope this helps you.

Use the quadratic formula to solve x - 5x+3 = 0.

Answers

Answer:

(D) [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]

Step-by-step explanation:

The quadratic formula is:

[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]

Assuming that a is our x² term, b is our x term, and c is the constant, we can substitute inside the equation.

[tex]\begin{array}{*{20}c} {\frac{{ - (-5) \pm \sqrt {5^2 - 4\cdot1\cdot3} }}{{2\cdot1}}} \end{array}[/tex]

[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 12} }}{{2}}} \end{array}[/tex]

[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]

So the answer is D, [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex].

Hope this helped!

Suppose that Frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. The first box contains three white balls and two blue balls, and the second box contains four white balls and one blue ball. What is the probability that Frida picked a ball from the first box if she has selected a blue ball

Answers

Answer:

3/4

Step-by-step explanation:

Given the following :

Number of boxes = 2

First box :

White balls = 3

Blue balls = 2

Second box:

White balls = 4

Blue balls = 1

What is the probability that Frida picked a ball from the first box if she has selected a blue ball?

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking first box : P(F) = 1/2

Probability of not picking second box :P(S) 1/2

Probability of picking blue from first box : P(B | F) = 3/5

Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5

probability that Frida picked a ball from the first box if she has selected a blue ball?

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

someone help me really quick

Answers

Answer:

u^18

Step-by-step explanation:

(u^3)^6

=

u^(3*6)

=

u^18

Hope this helps!

the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression shows the number of states that entered the union in 1889

Answers

Answer:

x = s/2

Step-by-step explanation:

● s states have joined the union in 1788

● half of s have joined in 1889

Let x be the number of states that have joined in 1889

● x = (1/2)× s

● x = s/2

A portion of the Quadratic Formula proof is shown. Fill in the missing reason. A: Multiply the fractions together on the right side of the equation? B: Subtract 4ac on the right side of the equation? C: Add 4ac to both sides of the equation? D: Add the fractions together on the right side of the equation?

Answers

Answer:

Combine numerators over the common denominator to make one term

Step-by-step explanation:

Answer:

D: Add the fractions together on the right side of the equation

Step-by-step explanation:

Let's finish this proof:

Add the fractions together on the right side of the equation

[tex]$x^2+\frac{b}{a} x+\left(\frac{b}{2a} \right)^2=\frac{b^2-4ac}{4a^2} $[/tex]

[tex]\text{Consider the discriminant as }\Delta[/tex]

[tex]\Delta=b^2-4ac[/tex]

Once we got a trinomial here, just put in factored form:

[tex]$\left(x+\frac{b}{2a}\right)^2=\frac{\Delta}{4a^2} $[/tex]

[tex]$x+\frac{b}{2a}=\pm\frac{\Delta}{4a^2} $[/tex]

[tex]$x+\frac{b}{2a}=\pm \sqrt{\frac{\Delta}{4a^2} } $[/tex]

[tex]$x=-\frac{b}{2a}\pm \sqrt{\frac{\Delta}{4a^2} } $[/tex]

[tex]$x=-\frac{b}{2a}\pm \frac{ \sqrt{\Delta} }{2a} $[/tex]

[tex]$x= \frac {-b\pm \sqrt{\Delta}}{2a} $[/tex]

[tex]$x= \frac {-b\pm \sqrt{b^2-4ac}}{2a} $[/tex]

I NEED THIS ANSWER IN THE NEXT 10 MIN PLS. WILL GIVE BRAINLEST!!! Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25 = 1.

Answers

Answer:

center=0,0 vertices=(0,5)(0,-5) foci=(0,4)(0,-4)  

Step-by-step explanation:

used calculator

Which statement about the relationship shown in the graph is true?

Answers

Answer: The number of pounds depend on the total price.

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

It just is also, it’s for plato

Given triangle ABC is similar to triangle DEF , calculate the value of BC. Picture is below

Answers

Hello! :)

Answer:

[tex]\huge\boxed{BC = 6.4 }[/tex]

Given ΔABC ~ ΔDEF, we can set up a proportion to solve for BC, where:

[tex]\frac{AC}{DF} = \frac{BC}{EF}[/tex]

Let BC = x:

[tex]\frac{8}{15} = \frac{x}{12}[/tex]

Cross multiply:

[tex]8 * 12 = 15 * x[/tex]

[tex]96 = 15x[/tex]

[tex]x = 6.4[/tex]

Therefore, BC = 6.4 units.

Hope this helped you!

Find the odds in favor of rolling two even numbers when rolling a pair of dice.

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

Each dice has six sides, meaning the numbers that are even are: 2,4, and 6, three even numbers per dice. Meaning the chance of rolling ONE dice is 50%. So if you were to get two even numbers on TWO dice, it would be 25% hope this helps.

The odds in favor of rolling two even numbers when rolling a pair of dice would be 25% or 1/4.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Each dice has six sides, means the numbers that are even are:

2,4, and 6, three even numbers per dice.

The total number of outcomes is 6 x 6 or 36.

Meaning the chance of rolling ONE dice is 50%.

The odds in favor of rolling two even numbers when rolling a pair of dice would be 25%.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

what is the fewest number of 7's that can be added together to make their sum greater than 4000

Answers

Answer:

572 7s are needed to be added together

Step-by-step explanation:

Basically, what we are asked here is the multiple of 7 which is closest to but above 4,000

Then, from this multiple , the number of 7s which are added together to give it is our answer.

By multiplication; 7 * 572 = 4,004

This is the closest multiple of 7 to 4000 which is also above it.

So the fewest number of 7s which we can add together is 572

Other Questions
Horse and Buggy Inc. is in a declining industry. Sales, earnings, and dividends are all shrinking at a rate of 10% per year. a. If r = 15% and DIV1 = $3, what is the value of a share? By what angle should the second polarized sheet be rotated relative to the first to reduce the transmitted intensity to one-half the intensity that was transmitted through both polarizing sheets when aligned How do you think the absence of 16 million people affected Americas economy and society? Answer it, answer it, answer it. A ladder rests in limiting equilibrium against a rough vertical wall and with its foot on rough horizontal ground, the coefficient of friction at both points of contact being 0.5. The ladder is uniform and weighs 300N. Find the angle which the ladder makes with the horizontal ground. Find also the normal reactions at the wall and the ground. On January 1, 2021, Kendall Inc. began construction of an automated cattle feeder system. The system was finished and ready for use on September 30, 2022. Expenditures on the project were as follows: January 1, 2021 $ 235,000 September 1, 2021 $ 342,000 December 31, 2021 $ 342,000 March 31, 2022 $ 342,000 September 30, 2022 $ 235,000 Kendall borrowed $764,000 on a construction loan at 7% interest on January 1, 2021. This loan was outstanding throughout the construction period. The company had $4,570,000 in 7% bonds payable outstanding in 2021 and 2022. Average accumulated expenditures for 2021 was: Explanation/Answer would be appreciated please To be effective, your goals must be balanced in the following areas:a. Career, Fun, Health, Relationship, Spiritualityb. Environmental, Spirituality, Organicc. Career, Financial, Health and Fitness, Relationships, Spirituality Let f(x) = 5x + 12. Find f1(x). Mark each of the following as true or false and explain how you know. Help pleaseeeee. Tyyy A belt is run over two drums. The larger drum has weight 4 lbs and a radius of gyration of 1.25 inches while the smaller drum has weight 2.7 lbs and a radius of gyration of 0.75 inches. The tension from the smaller drum is held constant at 6 lbs. If it is known that the speed of the belt is 11 ft/s after 0.16 s, what is the tension between the drums? Match the words with their definitions,sustenanceRome1. to reduce the amount in blocks or sizable amounts2. food and drink; necessary foods in order to stay alivesettlement that relocated due to lack of resources and3.sustenance4. civilization that may have fallen due to a lack of goals5. grew due to the goals of increasing its international tradedecimateNew York CitySinagua tribe Name one real-world object that suggests A. Points B. Lines and C. Planes Compare and contrast the following forms of business organization: sole proprietorship,general partnership,limited liability company,and corporation as to ease of formation,liability of owners,management,and tax implications. There are 8 books needing re-shelving in a library where 65% of the library's collection consists of reference books. Let X be the number of reference books a student helper re-shelves out of the 8 on her cart. a) What is the probability that all 8 of them are reference books The ratio of boys to girls in the ninth grade is 7 to 9. there are 218 girls set up a proportion to model this information Can anyone make 1 or 2 rhyming song line Topic : mom scolding her daughter (Amanda) for not doing her homework or she is not cleaning her room An ac source of period T and maximum voltage V is connected to a single unknown ideal element that is either a resistor, and inductor, or a capacitor. At time t = 0 the voltage is zero. At time t = T/4 the current in the unknown element is equal to zero, and at time t = T/2 the current is I = -Imax, where Imax is the current amplitude. What is the unknown element? A client with traumatic brain injury is able to live in a supportive home environment and complete light housekeeping and laundry. What area is most appropriate for the COTA to address next with the client?A. Practice shopping skillsB. Establish a self-care routineC. Reestablish skills for washing a carD. Provide a noise-free environment