I NEED HELP PLEASE I GIVE 5 STARS !

I NEED HELP PLEASE I GIVE 5 STARS !

Answers

Answer 1

Answer:

C. 2[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Square root of 116 is 10.7703296

Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296


Related Questions

An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population increases by 10%, how many ants will be in the colony 5 days later? *

Answers

Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.

Acrobat Ant

Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.

Answer:

81

Step-by-step explanation:

Start: 50

After 1 day: 50 * 1.1

After 2 days: 50 * 1.1 * 1.1 = 50 * 1.1^2

After 3 days: 50 * 1.1^2 * 1.1 = 50 * 1.1^3

...

After 5 days: 50 * 1.1^5 = 80.53

Answer: 81

what did I do wrong??

Answers

Choice A would be true if it was for 8 years, and not 8 months. The value of t is in years. We would need to convert 8 months to years like so

12 months = 1 year

1 month = 1/12 of a year

8 months = 8/12 of a year

8 months = 2/3 of a year after dividing both parts by 4

So we'll go for choice B as the final answer

Find the first four terms of the sequence given a1=18 and an+1=2+an2. A. 18, 10, 6, 5 B. 18, 10, 6, 9 C. 18, 14, 6, 9 D. 18, 10, 6, 4

Answers

The first four terms of the given sequence are 18, 10, 6, and 4 respectively.

What is a sequence?

A sequence is an ordered list object which related and connected by a common value.

There are many sequences. They are Arithmetic sequence, Geometric sequence, and so on.

Calculation:

It is given that,

The first term of the sequence is a1 = 18

And the terms of the sequence are related by,

a(n + 1) = (2 + an)/2

For n = 1;

a(1 + 1) = (2 + a1)/2

⇒ a2 = (2 + 18)/2 = 10

For n = 2;

a(2 + 1) = (2 + a2)/2

⇒ a3 = (2 + 10)/2 = 6

For n = 3;

a(3 + 1) = (2 + a3)/2

⇒ a4 = (2 + 6)/2 = 4

Thus, the first four terms of the given sequence are a1 = 18, a2 = 10, a3 = 6, and a4 = 4.

Learn more about a sequence here:

https://brainly.com/question/6561461

#SPJ1

Consider the equation x2+4x+9=0 in standard form. Which equation shows the coefficients a, b, and c correctly substituted into the quadratic formula? Please show all steps to get to the answer, please!!

Answers

Answer:

x = -2+i√5 and  -2i-√5

Step-by-step explanation:

The general form of a quadratic equation is ax²+bx+c = 0

Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;

ax² = x²

a = 1

bx = 4x

b = 4

c = 9

The quadratic formula is given as x = -b±√(b²-4ac)/2a

Substituting the constant;

x = -4±√(4²-4(1)(9))/2(1)

x = -4 ±√(16-36)/2

x = -4±√-20/2

x = -4±(√-1*√20)/2

Note that √-1 = i

x = -4±(i√4*5)/2

x = (-4±i2√5)/2

x = -4/2±i2√5/2

x = -2±i√5

The solution to the quadratic equation are  -2+i√5 and  -2i-√5

Help please with my geometry

Answers

X is equal to 4

Because RS + ST=RT
So basically x+3x=5x-4
4x=5x-4
-4x -4x
-1x=-4
x=4

those are not the powers question from transformation of product and sum trigonometry
prove that : cos3A+cos5A+cos7A+cos15A= 4cos4Acos5Acos6A​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sum to product identity

cosx + cosy = 2cos([tex]\frac{x+y}{2}[/tex] )cos( [tex]\frac{x-y}{2}[/tex] )

Consider left side

(cos5A +cos3A) + (cos15A + cos7A)

= 2cos([tex]\frac{5A+3A}{2}[/tex] )cos([tex]\frac{5A-3A}{2}[/tex] ) + 2cos( [tex]\frac{15A+7A}{2}[/tex]) cos( [tex]\frac{15A-7A}{2}[/tex] )

= 2cos([tex]\frac{8A}{2}[/tex]) cos([tex]\frac{2A}{2}[/tex]) + 2cos([tex]\frac{22A}{2}[/tex] )cos([tex]\frac{8A}{2}[/tex] )

= 2cos4AcosA + 2cos11A cos4A ← factor out 2cos4A from both terms

= 2cos4A( cos11A + cosA) ← repeat the process

= 2cos4A( 2cos([tex]\frac{11A+A}{2}[/tex] )cos([tex]\frac{11A-A}{2}[/tex] )

= 2cos4A(2cos([tex]\frac{12A}{2}[/tex])cos([tex]\frac{10A}{2}[/tex] )

= 2cos4A(2cos6A cos5A)

= 4cos4Acos5Acos6A

= right side , thus verified

which has greater cenetic energy a car traveling 30.0 km/hr or one twice as heavy traveling at 15 km/hr?​

Answers

Answer:

30 km/h car

Step-by-step explanation:

From analysis the   car traveling at 30 km/h has greater kinetic energy

we can deduce it from the expression of kinetic energy which is

[tex]KE=\frac{1}{2} mv^2[/tex]

Assuming the mass m= 1 kg

 

For the 30 km/h

[tex]KE=\frac{1}{2}*1*30^2 \\\\KE=\frac{1}{2}*1*900\\\\\KE=450 J[/tex]

   

For the 15 km/h

[tex]KE=\frac{1}{2}*2*15^2 \\\\ KE=\frac{1}{2}*2*225 \\\\\ KE=\frac{1}{2}*450 J\\\\\ KE=225 J[/tex]

Though the kinetic energy is a function of mass and velocity, but from our analysis the faster moving object has more KE

Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?

pls explain, thanks!!!!​

Answers

C.P. = $95000

S.P. = $280000

a. Profit

= S.P. - C.P.

= $280000 - $95000

= $185000

b. Let the profit% of C.P. be x.

(x/100) × $95000 = $185000

=> x/100 = $185000/$95000

=> x/100 = 37/19

=> x = (37/19) × 100

=> x = 3700/19

=> x = 194 14/19

So, profit percent of buying price is 194 14/19%.

c. Let the profit% of S.P. be x.

(x/100) × $280000 = $185000

=> x/100 = $185000/$280000

=> x/100 = 37/56

=> x = (37/56) × 100

=> x = 3700/56

=> x = 925/14

=> x = 16 1/14

So, profit percent of selling price is 16 1/14%.

d. Buying price percentage profit sounds better as far as Ella is concerned.

Find the value of x in the triangle shown below.
13
5
х

Answers

Answer:

x=12

Step-by-step explanation:

This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that [tex]C^2=a^2+b^2[/tex] where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, [tex]b=\sqrt{13^2-5^2}[/tex]. Next, solve what is under the root to get, [tex]b=\sqrt{144}[/tex]. Finally, square root 144 for the final answer b=12.

Answer:

x = 12

Step-by-step explanation:

c² = a² + b²

13² = 5² + b²

169 = 25 + b²

b² = 169 - 25

b² = 144

b = 12

if a white birch tree and a pin oak tree each now have a diameter of 111 foot, which of the following will be closest to the difference, in inches, of their diameters 101010 years from now? (1(1(, 1 foot = 12=12equals, 12 inches))

Answers

Answer:

Can you solve #18 from practice test 5 calculator section? ... years old and a pin oak tree with a diameter of 12 inches is ... because on the test you would have figured these mechanics out on ... Now, note that the concept of a “growth factor” as provided in the table ... That's a difference of about 1.3 inches.

Step-by-step explanation:

PLEASE ANSWER QUICKLY ASAP

Answers

Answer:

67°

Step-by-step explanation:

● cos<PQR = adjacent/hypotenus

● cos<PQR = 5/13

● cos< PQR = 0.384

Using a calculator:

● cos^-1(0.384) = 67°

● <PQR = 67°

how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wa The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.

Answers

Answer:

  y = 5x

Step-by-step explanation:

The revenue (y) is 5 dollars for each car washed. The number of cars washed is x, so the revenue equation is ...

  y = 5x

_____

Additional comment

At the end of the exercise of writing revenue and cost and profit equations, you will find that the break-even number of cars is the ratio of fixed cost (start-up cost in this case) to the profit contribution of each car (per-car charge in this case). That is, it will take 75/5 = 15 cars to break even. Each additional car will contribute a positive profit.

Answer:

Equation INCLUDING the setup cost:   y = 5x - 75

Equation EXCLUDING the setup cost:   y = 5x

Step-by-step explanation:

It spent a total of $75 to set up the car wash.

It is charging $5 per car.

y = amount collected in $

x = number of cars washed

=> We can make an equation INCLUDING the setup cost and EXCLUDING the setup cost.

=> INCLUDING the setup cost.

=> y = 5x - 75

=> I subtracted 75 from 5x because they spent a total of $75 to set up the car wash.

=> I wrote 5x because they get $5 for each car so if they wash 10 cars they get 5 * 10 = $50.

An EXAMPLE  from the above equation:

y = 5x -75

=> y = 5*14 - 75

=> y = 70 - 75

=> y = -5

=> This means that if they wash 14 cars, they still have a debt of 5 dollars.

An equation EXCLUDING the setup cost will look like:

=> y = 5x

I wrote this because, they didn't spend any money so they will get 5 dollars per car. How many cars they wash, the answer will be 'number of cars x 5'.

An EXAMPLE from the above equation is:

=> y = 5x

=> y = 5 * 14

=> y = $70

=> This means that if they wash 14 cars, they get $70.

Find C to two decimal places and find the measurement of angle be use your calculator

Answers

Let's solve

P=8B=5

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]

[tex]\\ \sf\longmapsto c^2=64+25[/tex]

[tex]\\ \sf\longmapsto c^2=89[/tex]

[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]

[tex]\\ \sf\longmapsto c\approx 9.22[/tex]

Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?

Answers

Answer:

48 different ways

Step-by-step explanation:

To solve this question, we use the Fundamental Counting Principle technique.

Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.

If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z

For the above question, we have 3 events

Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)

Event 2: 3 subjects ( Math, Reading, And Science)

Event 3 : 4 tutors.

Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:

= 4 × 3 × 4

= 48 different ways

help!! im stuck on this and i can't remeber how to sove this.... 6/3c = 2/3

Answers

Hello!

Answer:

[tex]\huge\boxed{c = 3}[/tex]

Given:

[tex]\frac{6}{3c} = \frac{2}{3}[/tex]

Cross multiply:

[tex]6 * 3 = 3c * 2[/tex]

Simplify:

[tex]18 = 6c[/tex]

Divide both sides by 6:

[tex]c = 18/6 = 3[/tex]

Answer:

c=3

Step-by-step explanation:

6          2

----- = -----

3c        3

Using cross products

6*3 = 2*3c

18 = 6c

Divide each side by 6

18/6 = 6c/6

3 =c

find the empirical formula of the compound containing 2.4 gram of carbon, 6.4 gram of oxygen and 0.2 gram of hydrogen ​

*sorry its chemistry*

Answers

Answer:

Empirical formula= COOH

Step-by-step explanation:

Molecular mass of the elements

Carbon= 12

Oxygen= 16

Hydrogen= 1

We divide the elements each with their molecular formula

Carbon= 2.4/12

Carbon= 0.2

Oxygen= 6.4/16

Oxygen= 0.4

Hydrogen= 0.2/1

Hydrogen= 0.2

Now we divide with the smallest result which is 0.2

Carbon= 0.2/0.2

Carbon = 1

Oxygen= 0.4/0.2

Oxygen= 2

Hydrogen= 0.2/0.2

Hydrogen= 1

So we have

Carbon 1, oxygen 2, hydrogen 1

Empirical formula= COOH

the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat

Answers

Answer:4.2 cups

Step-by-step explanation:

Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest

Answer:

4.2 cups

Step-by-step explanation:

I am in the assiment and i just got it right on the assiment

There were 642 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. Find the number of students who passed and the number who failed.

Answers

Answer:

535 students passed and 107 students failed

Step-by-step explanation:

Create a system of equations where p is the number of students who passed and f is the number of students who failed:

p + f = 642

p = 5f

Solve by substitution by plugging in 5f as p into the first equation, then solving for f:

p + f = 642

5f + f = 642

6f = 642

f = 107

So, 107 students failed.

Find how many students passed by multiplying this by 5:

107(5)

= 535

535 students passed and 107 students failed.

Solve for the value of n.
n =

Answers

Answer:

136+(4n-8)=180

136+4n-8=180

4n+128=180

4n=52

n=13

Step-by-step explanation:

please mark me as brainliest

The answer is n=13 hope that helps

plz help asap i only have limited time i will give brainliest

Answers

Answer:

The answer is none.

Step-by-step explanation:

BecauseSide of the square is greater than breadth of rectangle. Answer: How can this be possible? Side of any square cannot be more than breadth of rectangle unless and until the square is bigger than the rectangle.Side of the square can be greater than length of triangle:  Answer: Not at all possible. How can the length of a square be greater than the length of a rectangle? then the square would no longer have the same sides. And as i said before, squares cant be long unless and until they are bigger than the rectangle.

Hope this helps....

Have a nice day!!!!

3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B

Answers

Answer: If the question is to solve for A: A= [tex]\frac{15x+1-B}{3x-1}[/tex]

If the question is to solve for B: B= 15x+1-3xA+A

Step-by-step explanation:

A: Move terms to the left.

B: Simplify both sides.

Answer:

a=8x^2+3x+1-b/3x-1  -x^2;  xdoes not equal 1/3

Step-by-step explanation:

hope this helps

Your mom asks you to transfer the rice in the pantry from the plastic sack it comes in to a rectangular storage container. The first container is 4 inches wide, 4 inches deep, and 12 inches high. The second container is 5 inches wide, 5 inches deep, and 8 inches high. Calculate the volume of both containers. Which container will hold more rice?

Answers

Answer:76

Step-by-step explanation:

something amazing

A boat travels 12 km upstream and 40 km downstream in 8 hours. It can go 16 km upstream and 32 km downstream in the same time. Find the speed of the boat in still water and the speed of the stream.

Answers

the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h

Let's define the variables:

B = speed of the boat in still water.

S = speed of the stream.

When the boat travels downstream, the total speed of the boat will be equal to the sum of the speed of the stream and the speed of the boat in still water:

speed = B + S

When the boat goes downstream, the speed will be:

speed = B - S

Now, also remember the relation:

speed*time = distance.

The given information is:

In 8 hours the boat can:

go 12 km upstream and 40km downstream.

We now need to define another variable, T, as the time that the boat travels upstream.

Then we can write this as:

12km = (B - S)*T

If the boat travels T hours upstream, and travels for a total of 8 hours, then the amount of time that travels downstream is 8h - T, then we can write:

40km = (S + B)*(8h - T)

Similarly, when we have:

"it can go 16 km upstream and 32 km downstream in the same time."

we can define a new variable T', and write:

16km = (B - S)*T'

32km = (S + B)*(8h - T')

Then we have a system of 4 equations:

16km = (B - S)*T'

32km = (S + B)*(8h - T')

40km = (S + B)*(8h - T)

12km = (B - S)*T

And we need to solve this for S and B.

To do it, we need to isolate one of the variables in one of the equations.

Let's isolate T in the last equation:

T = 12km/(B - S)

now we can replace that in the third equation to get:

40km = (S + B)*(8h - 12km/(B - S))

So now we have 3 equations:

16km = (B - S)*T'

32km = (S + B)*(8h - T')

40km = (S + B)*(8h - 12km/(S - B))

Now we need to do the same thing, this time let's isolate T' in the first equation and replace it in the second one:

T' = 16km/(B - S)

Replacing it in the second equation we get:

32km = (S + B)*(8h - T')

32km = (S + B)*(8h - 16km/(B - S))

So now we have two equations:

40km = (S + B)*(8h - 12km/(B - S))

32km = (S + B)*(8h - 16km/(B - S))

Let's simplify these:

40km = 8h*(S + B) - 12km*(S + B)/(B - S)

32km = 8h*(S + B) - 16km*(S+ B)/(B - S)

Now we can multiply both equations by (B - S) to get:

40km*(S - B) = 8h*(S + B)*(B - S) - 12km*(S + B)

32km*(S - B) = 8h*(S + B)*(B - S) - 16km*(S+ B)

Let's keep simplifying this:

40km*(B - S) + 12km*(S + B) =  8h*(S + B)*(B - S)

32km*(B - S)  + 16km*(S+ B) = 8h*(S + B)*(B - S)

Now we get:

52km*B - 28km*S = 8h*(S^2 + B^2)

48km*B - 16km*S = 8h*(S^2 + B^2)

Notice that the right side of these equations is the same thing, then we can write:

52km*B - 28km*S = 48km*B - 16km*S

(52km - 48km)*B = (28km - 18km)*S

4km*B  =  10km*S

B = (10/4)*S

B = (5/2)*S

Now we can replace this in one of our two equations, let's use the first one:

48km*B - 16km*S = 8h*(S^2 + B^2)

48km*(5/2)*S - 16km*S = 8h*( S^2 + ( (5/2)*S)^2)

Now we can solve this for S

104km*S = 8h*( S^2 + 25/4*S^2)

104km*S = 8h*(29/4*S^2) = 48h*S^2

104km*S = 48h*S^2

dividing at both sides by S we get:

104km = 48h*S

104km/48h = S = 2.167 km/h

And using B = (5/2)*S

We can find the speed of the boat:

B = (5/2)*2.167 km/h = 5.418 km/h

Then:

the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h

If you want to learn more about this topic, you can read:

https://brainly.com/question/17300107

Simplify
3m + 3
What is the answer please

Answers

[tex]\rm \large \implies \: \: 3m \: + \: 3m[/tex]

[tex]\rm \large \implies \: \: 6m[/tex]

Answer:

6m

Step-by-step explanation:

those are like terms so you just have to add them

3m+3m=6m

i hope this helps

Chapter 9-4 composition of isometrics (anyone pls help me TwT)

Answers

Both answers are "translation" which is the same as up/down/left/right shifting.

Refer to the diagram below to see how the reflections combine to form this shifting. A composition of two reflections always leads to a translation whenever the mirror lines are parallel. The direction of the shifting is perpendicular to the parallel lines. If the mirror lines intersected, then we'd have a rotation instead.

I used GeoGebra to create the diagram.

Which statement describes the graph of x = 4

Answers

Answer:

The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept

Step-by-step explanation:

So I think that the answer would be this, which means answer 1!! Hope this helps

which answer is right?

Answers

Answer:

i think A

Step-by-step explanation:

The answer is A







i believe

Which models show 60%? Check all that apply.

Answers

Answer:

OPTION A AND B.

AS OPTION A IS 3/5=6/10=60%

Option C=60/100=60%

Answer:

the first and the last option

Step-by-step explanation:

In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%

3/5 = 0.6

0.6 = 60%

*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*

in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%

5/10 = 1/2 = 0.5 = 50%

in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%

6/10 = 0.6 = 60%

hope this helps! if you have any questions, let me know!

Two families go to a shake shack. The Johnsons order four fires and six cheeseburgers for $52. The Liauttads order three fries and two cheeseburgers and pay $24. How much is a cheeseburger?


Show work please! :)

Answers

4 fries + 6 cheeseburgers = $52

3 fries + 2 cheeseburgers = $24

9 fries + 6 cheeseburgers = $24×3

= $72

$72-$52=$20

5 fries = $20

1 fries = $20÷5

= $4

1 cheeseburger = [$24 - (3×$4)]÷2

= $6

pls help asap !!!!!!!

Answers

Answer:

I think that the answer is 1 to1

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Read the sentence.The Canary Islands are a popular vacation spot for people from Finland, a chain of seven islands off the coast of Africa.What is the best way to rewrite the sentence?A-The Canary Islands, a chain of seven islands off the coast of Africa, are a popular vacation spot for people from Finland. B-A popular vacation spot for people from Finland, a chain of seven islands off the coast of Africa are the Canary Islands. C- ***NOT CORRECT**The Canary Islands are a chain of seven islands off the coast of Africa, a popular vacation spot for people from Finland. D-A chain of islands off the coast of Africa, a popular vacation spot for people from Finland, are the Canary Islands. PLEASE HELP ITS URGENT!! PLEASE 1.) you are looking at your power bill for the month, you pay 12 cent per kilowatt hour. Running a 60 watt lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 3 lightbulbs in it how much would that cost a 30 day month2.) you were looking at your power bill for the month you pay .11 per kilowatt. Your power bill came out to $80.48 how many KWH of energy were using your house this month3.) you plan to cut the board into three pieces to repair part of a railing. You are going to cut the two ends of the board into two equal pieces that are 2.6 feet long if the remaining piece needs to be 0.86 times longer than each of the first two cats what length boards did you buy round to the nearest tenth Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate plane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V1 and the aquarium. Question 4 options: A) 11 units B) 10 units C) 1 units D) units A bank statement shows a balance of $8,445 at June 30. The bank reconciliation is prepared and includes outstanding checks of $2,790, deposits in transit of $1,350, and a bank service charge of $30. Among the paid checks returned by the bank was check no. 900 in the amount of $600, which the company had erroneously recorded in the accounting records as $60. The "adjusted cash balance" at June 30 is: According to John F. Galliher, legal definitions of criminality are arrived at through a __________ process. an athlete had lifts a load with a mass of 150kg.1) calculate the gravitational potential energy gained2) if the mass of the load is increased to 200kg, calculate the gravitational potential energy gained by the load.3) based on answers in 1&2, state the relationship between the mass of the load and the gravitational potential energy. Write a poem on this topic.Think about your fears and insecurities about school safety. Examine your feelings in relation to school massacres that have happened in history. How has this changed you? What do you feel when a school goes into lockdown? Monopolistic competitors in the food industry will often include a recyclable symbol on packaging used for their product as a means to be socially responsible. be environmentally responsible. differentiate their product. be perceived more favorably. Based on the cladogram, which characteristics are common to amphibians, lemurs, and humans? vertebrae, tetrapod, hair amniotic egg, hair, biped tetrapod, vertebrae tetrapod, hair 7) In which state would you have found the beginning of the Chisholm Trail? A)Texas B)Arizona C)California D)New Mexico Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If the odds for E equal the odds against E', then P(E)P(F)=P(EF) A paragraph using Confirm, demonstrate, supplement, establish, and conviction Tyler and Jamie decide to share a box of 50 candy bars. To their pleasant surprise, there are 5 extra candy bars in the box. They agree that Tyler gets at least eight more candy bars than Jamie. What is the minimum number of candy bars that Tyler gets. Can I get a step by step explanation please? Thank you! PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable? A. the amount of miles Larry drivesB. the type of roads Larry drives onC. the type of car Larry drivesD. the amount of gasoline Larry uses The calculation of WACC involves calculating the weighted average of the required rates of return on debt and equity, where the weights equal the percentage of each type of financing in the firm's overall capital structure. _________ is the symbol that represents the cost of preferred stock in the weighted average cost of capital (WACC) equation. Bryant Co. has $2.3 million of debt, $1.5 million of preferred stock, and $1.8 million of common equity. What would be its weight on common equity? A. 0.32 B. 0.24 C. 0.22 D. 0.30 Look at this rectangular prism: [tex] \frac{w}{ -6} = 6[/tex]I cant figure out the answer Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after t hours?