NEED ANSWER ASAP

WILL MARK BRAINLIEST

What is the slope of the line given, f(0) = -5 and f(4) = 11?

Answers

Answer 1

Answer:

The slope is 4.

Step-by-step explanation:

We are given that f(0)=-5 and f(4)=11.

This means that we have the two points (0, -5) and (4, 11).

So, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, -5) be (x₁, y₁) and let (4, 11) be (x₂, y₂). Substitute appropriately:

[tex]m=\frac{11-(-5)}{4-0}[/tex]

Evaluate:

[tex]m=\frac{16}{4}=4[/tex]

Hence, the slope of the line given f(0)=-5 and f(4)=11 is 4.


Related Questions

The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.

Answers

Answer: hey want to talk

Step-by-step explanation:

ASAP GIVING BRAINIEST AND 20 points 1. How can technology be both positive and negative when it comes to modified crops?

2. Why do you think it is important to find ways to improve crops?

Answers

Answer:

Technology can be both negative and positive when it comes to modified crops. It can be positive because it allows us to have more crops and resist pests and disease. It can be negative because it may cause deformities or health risks.

I really hope that helps you.

e. Find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) Ć(1, -3).​

Answers

Answer:

Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Step-by-step explanation:

We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).​

We have three sides of triangle AB, BC and AC

The length of side can be calculated using distance formula:

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

Now finding lengths of sides AB, BC and AC

i) Length of side AB

We have A (7,4), B (-8, 6)

and [tex]x_1=7, y_1=4, x_2=-8, y_2=6[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13[/tex]

So, Length of side AB is 15.13

ii) Length of side BC

We have B (-8, 6) and C(1, -3)

and [tex]x_1=-8, y_1=6, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72[/tex]

So, Length of side BC is 12.72

iii) Length of side AC

We have A (7,4)and C(1, -3)

and [tex]x_1=7, y_1=4, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21[/tex]

So, Length of side AC is 9.21

So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Can anybody help plzz?? 65 points

Answers

Answer:

[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]

[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]

Stationary Points: See below.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Calculus

Derivative Notation dy/dx

Derivative of a Constant equals 0.

Stationary Points are where the derivative is equal to 0.

1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undef

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]f(x)=\frac{8}{x} +2x[/tex]

Step 2: Find 1st Derivative (dy/dx)

Quotient Rule [Basic Power]:                    [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify:                                                      [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule:                                     [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify:                                                     [tex]f'(x)=\frac{-8}{x^2} +2[/tex]

Step 3: 1st Derivative Test

Set 1st Derivative equal to 0:                    [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides:                         [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides:                         [tex]-2x^2=-8[/tex]Divide -2 on both sides:                           [tex]x^2=4[/tex]Square root both sides:                            [tex]x= \pm 2[/tex]

Our Critical Points (stationary points for rel max/min) are -2 and 2.

Step 4: Find 2nd Derivative (d²y/dx²)

Define:                                                      [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]:                  [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify:                                                    [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule:                                    [tex]f''(x)=\frac{16}{x^3}[/tex]

Step 5: 2nd Derivative Test

Set 2nd Derivative equal to 0:                    [tex]0=\frac{16}{x^3}[/tex]Solve for x:                                                    [tex]x = 0[/tex]

Our Possible Point of Inflection (stationary points for concavity) is 0.

Step 6: Find coordinates

Plug in the C.N and P.P.I into f(x) to find coordinate points.

x = -2

Substitute:                    [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply:            [tex]f(-2)=-4-4[/tex]Subtract:                       [tex]f(-2)=-8[/tex]

x = 2

Substitute:                    [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply:            [tex]f(2)=4 +4[/tex]Add:                              [tex]f(2)=8[/tex]

x = 0

Substitute:                    [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate:                      [tex]f(0)=\text{unde} \text{fined}[/tex]

Step 7: Identify Behavior

See Attachment.

Point (-2, -8) is a relative max because f'(x) changes signs from + to -.

Point (2, 8) is a relative min because f'(x) changes signs from - to +.

When x = 0, there is a concavity change because f"(x) changes signs from - to +.

What is the ratio of blue paint to red paint in the mixture?

Answers

Answer: I think the answer is 5:2 Hope This Helps

It's 5:3

Hoped I helped!

Have a wonderful day-

Bye!

Jason bought a new truck at $25,000. The truck depreciates 15% of its value continuously each year. How much is it worth after 5 years? Round the answer to nearest dollar.

Answers

Answer:

A = $11093

Step-by-step explanation:

Given the following data;

Principal = $25,000

Rate = 15% = 15/100 = 0.15

Time, t = 5

To find the future value, we would use the compound interest formula;

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

Where;

A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.

Substituting into the equation, we have;

r = -0.15 because it's depreciating.

[tex] A = 25000(1 + \frac{-0.15}{1})^{1*5}[/tex]

[tex] A = 25000(1 - 0.15)^{5}[/tex]

[tex] A = 25000(0.85)^{5}[/tex]

[tex] A = 25000*0.4437[/tex]

A = 11092.63 ≈ $11093

Therefore, the future value, A after 5 years is $11093.

Answer:

11809

Step-by-step explanation:

With more than 33 species, more species of bats live in Texas than anywhere else in the United States. If Texas contains fewer than 3% of the species of bats in the world, how many species of bats are there worldwide?

Answers

ckgcujcfyfxgxhfccvcchf

I have no idea :( Please help

Answers

Answer:

59; 44 & 68; 22.5; 44

Step-by-step explanation:

10.

x + 57 = 116x = 116 - 57 x = 59

11.

y = 180 - 112 = 68x= 180 - 2*68 = 44

12.

4x + 10 = 180 - 2*404x + 10 = 1004x = 90x = 90/4x = 22.5

13.

SG = HT/2SG = 88/2 = 44

The area, A, of a square is equivalent to the square of its side lengths. A = (6)(6) square units A = s2 square units A = (x)(x) square units A = (x+x) square units A = 2(6) square units

Answers

Answer:

(6)(6) square units

(x+x) square units

Step-by-step explanation:

Answer:

A=s^2 and A=(x)(x)

Step-by-step explanation:

Robyn wants to place a television set 8ft from her lounge chair. Can the other two distances shown be 5ft and 9ft? Identify the answer with the correct explanation.

Answers

Answer:

Yes, the sum of any two lengths is greater than the third length

Step-by-step explanation:

Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Any two parts of a triangle can be added together to have a length larger than the third side.

Robyn needs to put a TV 8ft from her parlor seat.

Applying the Triangle Inequality Theorem

1) 9 + 5 > 8 which is ok

2) 8 + 5 > 9 which is ok

3) 8 + 9 > 5 which  is ok

Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

The complete question is attached below.

Find the mean, median, mode and range in each problem.
1)
Nine conical flasks have sodium chloride solution of different quantities. The
amount of solution (ml) in each flask is given below.
2, 10, 16, 2, 20, 18, 22, 14,9
Mean:
Median
Mode :
Range:

Answers

Answer:

mean - 12.5

median - 14

mode - 2

range - 20

Step-by-step explanation:

mean = total of the numbers divided by how many numbers there are.

median = average is the middle number in a set of data , when the data has been written in ascending size order. If there is an even number of items of data, there will be two numbers in the middle.

mode = the value that appears most frequently in a data set.

range = the difference between the highest and lowest values in a set of numbers.

pls help plz plz plz plz plz plz plz plz plz

Answers

Answer:

eat sleepless duduehei

The sum of two numbers is 37. Their difference is 7. What are the numbers?

Answers

Answer:

22 and 15

Step-by-step explanation:

22+15=37

22-15=7

5/6+4(3/4g-6) in standard form

Answers

Answer:

3g- 139/6

Step-by-step explanation:

(03.01 LC)

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (1 point)

Question 1 options:

1) The square root of 5
2) The square root of 7
3) 5
4) 7
Question 2 (1 point)
Saved
(03.01 LC)

What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units? (1 point)

Question 2 options:

1) Square root of 14

2) 7

3) The square root of 98

4) 49

Answers

Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

Answer:

√7 units, √98 units

Step-by-step explanation:

A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.

Answers

Answer:

Length = 8 inches

Width = 15 inches

Step-by-step explanation:

A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.

Let:

a = length of painting

b = width of painting

Area of painting = 120 = ab

Pythagorean Theorem says

a² + b² = Diagonal²

a² + b²= 17²

[120 =ab means b= 120/a]

a² + (120/a)² = 17²

Multiply through by a²

a⁴ + 14400 = 289

z² + 14400 = 289z [for now, substitute z for a²]

z² - 289z + 14400 = 0

z² - 64z - 225z + 14400 = 0

z(z - 64) -225(z - 64) = 0

(z - 64)(z - 225) = 0

z - 64 = 0

z = 64

z - 225 = 0

z = 225

Note that:

z for a²

Hence:

a² = 64

a = √64

a = 8 inches

The same applies for b

b² = 225

b = √225

b = 15 inches

r minus the sum of 4 and p equals

Answers

Answer:

r - (4 + p)

Step-by-step explanation:

{that's how you write it if that's what you are asking}

Ryan works for a delivery service. The function f(n) is used to calculate
his daily pay, in dollars, on a day when he makes deliveries.
f(n)=6n+85
Use the function to fill in the blanks the table shown. Make sure you
have an answer for Blank A, Blank B, and Blank C

Answers

Answer:

0=85

4=109

10=145

the answers are Blank A=85,Blank B=109 and Blank C= 10

THIS IS TIMED!

Thanks:)

Answers

Here see the attachment....:)

1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know.



Write your answer in the space below.

Answers

Answer:

✔️Length of the space Mr. Hamilton wants to fill with pictures = 4 ft long

✔️8 pictures can be fit on this wall by Mr. Hamilton

Step-by-step explanation:

The wall = 9.75 ft long

Window = 5¾ ft long = 5.75 ft

Each President's picture = 6 in. wide = 0.5 ft wide (note: 1 ft = 12 in.)

✍️Length of the space Mr. Hamilton wants to fill with pictures = 9.75 ft - 5.75 ft = 4 ft

✍️ Numbers of pictures that can fit on this wall = the space Mr. Hamilton wants to fill ÷ the width of each picture

= 4 ft ÷ 0.5 ft

= 8.

8 pictures will can be fit on the wall.

PLEASE ANSWER THISS I NEED HELP ASAP!!

Answers

Answer:

- i

Step-by-step explanation:

i = √( - 1) ;

i³ =  (√( - 1))(√( - 1))(√( - 1)) = - 1 (i) = - i

$20 s= X s= $21

Solve the compound inequality. Round each answer to the hundredths place.

Answers

Answer: x =420 s = 21

Step-by-step explanation:

Find the slope of the line containing the pair of points.
(-10,6) and (-11,7)

Answers

Answer:

Step-by-step explanation:

(-10,6)(-11,7)

Slope is -1

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

Triangle

ABC: Which transformation can be used to map each point (.y) on Triangle ABC

to its corresponding point on Triangle A B C?

A

G.y) - (y + 3, x)

B

6. y) - (x+3)

(x, y) - (y+3.x)

D. (.y)-( y. x+3)

C

Answers

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

[tex](x,y)\to (-y,x)[/tex]

[tex]P(x,y)\to P_1(-y,x)[/tex]

If a figure translated 3 units up, then

[tex](x,y)\to (x,y+3)[/tex]

[tex]P_1(-y,x)\to P'(-y,x+3)[/tex]

If  triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

[tex](x,y)\to (-y,x+3)[/tex]

Therefore, the required rule of transformation is [tex](x,y)\to (-y,x+3)[/tex].

Note: Option are not in proper form.

All the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Case 2: If the point is in second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Case 3: If the point is in third quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Case 4: If the point is in fourth quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Case 5: For points on axes

You can take that point in any of the two surrounding quadrants. Example, if the point is on positive  x axis, then it can taken as of first quadrant or fourth quadrant.

Case 6: On origin

No effect as we assumed rotation is being with respect to origin.

Since no quadrant is specified, we assume triangle is fully in first quadrant. That means all points (x,y) will turn (-x,y) after counter clockwise rotation.

Now translation of 3 units up means all y coordinates will be increased by 3, thus, all (x,y) points of triangle first become (-x,y) then (-x, y+3).

Thus, all the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

Learn more about rotation and translation here:

https://brainly.com/question/2418278

Simultaneous equations
y=x+2
y=x^2

Answers

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

Wesley subscribes to a telecommunication company’s movie package.The plan includes a basic monthly charge of $40 and an additional charge of $1.50 for every movie ordered. 2a) Write an equation for the total charge for a month, C, in terms of the number of movies, m, Wesley orders per month. This is a required question 2b) If Wesley ordered 4 movies one month, what was his total charge for the month?

Answers

Answer:

46

Step-by-step explanation:

So, the plan

monthly =40 + 1.50x

and he orders 4 movies in a month your problem to solve now looks like this

1 month = 40+1.50x4

Then, 1 month= 40 + 6

1 month= 46

Evaluate the expression for 1/2(2x+8)+6x and explain your process

Answers

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)

=x+4

x+4+6x

=7x+4

PLS GIVE BRAINLIEST

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)+6x

divide by 2 or multiply 1/2 it equals the same anyway

x+4+6x

add like terms

7x+4

Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

FGH and m FGH =(7x-9)
m HGJ = (2x + 36)
Find m FGH

X = 14
7x16 112

2x16 32+36 68
68+112= 180

The answer is x = 16

Give brainest pls

Need help now! fist gets brainlest

Answers

Answer:

x=88

Step-by-step explanation:

180-48-44=88

88+48+44=180

pls help me with question 8

Answers

9514 1404 393

Answer:

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

Step-by-step explanation:

The first column tells you the cost is ...

  $2.50/(5 lb) = 0.50 $/lb

That is, each bottom number is half the top number, or each top number is double the bottom number.

The table is ...

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

Other Questions
click on interesting and select the best word to replace itA) PeculiarB) AgreeableC) CoolD) Fascinating A friend lies to her parents about going to a party. While there, she refuses to drink.Which quality is she demonstrating?A: trustworthinessB: reliabilityC: respect for othersD: self respect plsss help me1)give 2 examples of systems that you use or see in your day-to-day life If you commit a crime, which part of the 5th amendment protects you from not being told what you have been arrested for or being told that your court date is in 10 years? A) Self-incriminationB) Due ProcessC) Freedom of SpeechD) Eminent Domain please helppppppppppp Lindseys goal is to sell at least 35 candles at each of 15 craft fairs.She makes 24 candles each day for 20 days.Explain whether Lindsey makes enough candles to reach her goal.Group of answer choicesA.Lindsay makes 48 candles. She divides 48 by 24 to get 2. She does make enough candles.B.Lindsay makes 440 candles. She divides 440 by 15 to get 29 R4. She does make enough candles.C.Lindsay makes 44 candles. She divides 44 by 20 to get 2R 4. She does not make enough candles.D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles. Jina bought 4 that were each the same price sales tax, she paid a total of $43,60 . a tax of $0.70 What was the price of each before tax? 2. What happened to make the Romans stop their attempt to stamp out Christianity? PLs, help me - an international company has 18,700 employees in one country. If this represents 32.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. Where can cross-cultural communication skills be particularly important? If the stone tools at the Cactus Hill site are really older than the Clovis artifacts, why would it be significant?It would challenge the theory that the Clovis were the first Paleo-Indian culturein North America.It would show that two different cultures lived in the same place.It would show that the Clovis influenced the other culture. Consider the triangle.The measures of the angles of the triangle are 32, 53, 95. Based on the side lengths, what are the measures of each angle?A)mAngleA = 95, mAngleB = 53, mAngleC = 32B)mAngleA = 32, mAngleB = 53, mAngleC = 95C)mAngleA = 43, mAngleB = 32, mAngleC = 95D)mAngleA = 53, mAngleB = 95, mAngleC = 32(Make sure to explain how you solved this problem and include things to remember when measuring angles like this. Thank you!) need answer for this question please. Which conclusion is supported by evidence from the excerpt? Alan, while snooping around his grandmother's basement stumbled upon a shiny object protruding from under a stack of boxes . When he reached for the object a genie miraculously materialized and stated: "You have found my magic coin. If you flip this coin an infinite number of times you will notice that heads will show 60% of the time." Soon after the genie's declaration he vanished, never to be seen again. Alan, excited about his new magical discovery, approached his friend Ken and told him about what he had found. Ken was skeptical of his friend's story, however, he told Alan to flip the coin 100 times and to record how many flips resulted with heads. Select the word that has the accent on the correct syllable.A. syl la bleB. syl la bleC. syl la ble Assume a loan balance of 174000 a monthly payment of 1395 What is the average speed of a boat that travels 57 kilometers in 3 hours? What evidence always shows that a chemical change has happened?O A. The total mass of material changes.O B. A new substance is produced.C. A solid material dissolves in a liquid.O D. A liquid changes into a solid. Goals should be manageable and large.O A.TrueB.False