6. Find the distance between each pair of points (-8,-2) and (6,-1).Round to the nearest
hundredth.

Answers

Answer 1

Answer:

The answer is 14.04 units

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,-2) and (6,-1).

The distance between them is

\(d = \sqrt{ ({ - 8 - 6})^{2} + ({ - 2 + 1})^{2} } \\ = \sqrt{( { - 14})^{2} + ( { - 1})^{2} } \\ = \sqrt{196 + 1} \\ = \sqrt{197} \: \: \: \: \: \: \: \: \\ = 14.0356...\)

We have the final answer as

14.04 units to the nearest hundredth

Hope this helps you

Answer 2

Answer:

√197

Step-by-step explanation:


Related Questions

Michael drives 30 miles in 5 hours. How many miles can he drive in 8 hours?
Please be accurate and explain

Answers

Answer:

In 8 hours, Michael can drive 48 miles.

Step-by-step explanation:

Let's write our equation.

30 miles = 5 hours=> 30/5 miles = 1 hour=> 6 miles = 1 hour=> 6 x 8 miles = 1 x 8 hours=> 48 miles = 8 hours

Hence, in 8 hours, Michael can drive 48 miles.

Hoped this helped.

\(BrainiacUser1357\)

I need help, with this mathematical problem.

I need help, with this mathematical problem.

Answers

The answer to the question is 18.84

i need help aklllllllllllllllllfdp[;lgjfg

i need help aklllllllllllllllllfdp[;lgjfg

Answers

Answer:

i think its 17

Step-by-step explanation:

That  would beeeeeeeeeeeeeeeeeee 4x - 1

what expression represents the area of a rectangle in cm^2 with a length of 3x and a width of x + 5

what expression represents the area of a rectangle in cm^2 with a length of 3x and a width of x + 5

Answers

Answer:

3x²+15x

Step-by-step explanation:

S = length × width

= 3x(x+5)

= 3x²+15x

Suppose that a histogram of a data set is approximately symmetric and bell shaped. Approximately what percent of the observations are within two standard deviations of the mean?
50%
68%
95%
99.7%

Answers

Answer:a

Step-by-step explanation:

Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.

Make sure to round please.

Answers

The surface area of the cylinder is 948m²

What is surface area of cylinder?

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Michelle can swim 4 laps in 6 minutes and 12 seconds. If michelle swims at the same pace, how long would it take her to swim 10 laps?

Answers

Answer:

9 laps takes 5 minutes 25 seconds.

Step-by-step explanation:

Here is given:

4 laps takes 6 minutes 12 seconds.

We have to find how long 1 lap takes.

4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.

Now, multiply each by 9 because you want to find 9 laps, so:

1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.

Hope this helps :)

6x60=360+12=372/4= 93x10= 930/60=15.5

It would take Michelle 15 minutes and 50 seconds to swim 10 laps

Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=

Suppose that is a function given as f(x) = 4x + 5x + 3.Simplify the expression f(x + h).f(x + h)Simplify

Answers

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

F(x+h)

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

Difference quotient

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

Limit

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

<95141404393>

Suppose that is a function given as f(x) = 4x + 5x + 3.Simplify the expression f(x + h).f(x + h)Simplify

How does coverage for a business relate to individual insurance? Compare and contrast the different types of individual insurance with business insurance. What are the similarities of individual insurance and business insurance? What are the differences between the two types of insurance? Give an example of each type of insurance.

Answers

Individual insurance is designed tο prοtect individuals and their families against the financial impact οf events such as illness, disability, accidents, οr death.

Define the term insurance?

Individual insurance and business insurance are similar in that bοth prοvide financial prοtectiοn against risks and uncertainties. Hοwever, there are alsο significant differences between the twο types οf insurance.

Individual insurance is designed tο prοtect individuals and their families against the financial impact οf events such as illness, disability, accidents, οr death.

Business insurance is designed tο prοtect businesses against the financial impact οf events such as prοperty damage, liability claims, οr lοss οf incοme due tο interruptiοn οf business οperatiοns.

The similarities between individual insurance and business insurance include:

Bοth prοvide financial prοtectiοn against risks and uncertainties.Bοth require payment οf premiums by the pοlicyhοlder tο the insurance cοmpany.Bοth types οf insurance invοlve a cοntractual agreement between the pοlicyhοlder and the insurer.

The differences between individual insurance and business insurance include:

The types οf risks cοvered: Individual insurance is designed tο cοver risks that affect individuals and their families, while business insurance cοvers risks that affect a business.The cοst: Business insurance premiums are generally higher than individual insurance premiums due tο the higher value οf assets being cοvered and the higher level οf risk invοlved.The cοmplexity οf pοlicies: Business insurance pοlicies are typically mοre cοmplex than individual insurance pοlicies due tο the variety οf risks being cοvered and the different types οf cοverage required.Example οf individual insurance: A persοn buys a health insurance pοlicy tο cοver the cοst οf medical treatment.Example οf business insurance: A small business οwner purchases liability insurance tο prοtect against claims οf injury οr prοperty damage resulting frοm the business's οperatiοns.

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I need help with this one

I need help with this one

Answers

Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

Buck is likely a proxy for whom in Jack London's life?

London's mother
London's father
London's favorite dog
London himself

Answers

Answer:

I think The answer is C. London's favorite dog

Answer: London himself

Step-by-step explanation: I just did the assignment and read the passage and It said buck was a proxy of London himself

In ΔWXY, w = 320 inches, y = 740 inches and ∠Y=169°. Find all possible values of ∠W, to the nearest 10th of a degree.

Answers

Using the law of sines, we have:

$dfrac{sinangle W}{320}=dfrac{sin169°}{740}$

Multiplying both sides by 320, we have:

$sinangle W=dfrac{320sin169°}{740}$

Using a calculator, we find that $sinangle W approx 0.7555$. Taking the inverse sine of both sides, we have:

$angle W approx sin^{-1}(0.7555)$

There are two possible values for $angle W$: $angle W approx 49.5°$ and $angle W approx 130.5°$ (since $sin^{-1}(0.7555) approx 49.5°$ and $angle W = 180° - sin^{-1}(0.7555) approx 130.5°$).

Therefore, the two possible values of $angle W$ are approximately 49.5° and 130.5°.

Which of the following pairs show(s) two congruent triangles?

O B only
OB and C only
O A, B, and C
O A and C only

Which of the following pairs show(s) two congruent triangles?O B onlyOB and C onlyO A, B, and CO A and

Answers

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

Final answer:

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

Explanation:

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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47.6 + 7.32 + .0574 + 6 = 47.6 + 7.32 + .0574 + 6 =

A 60.7994
B 60.9774
C 61.4779
D 61.9774

Answers

Answer: B

Step-by-step explanation:

If we add the numbers up, (47.6 + 7.32 + .0574 + 6) We get a answer of 60.9774.
47.6 + 7.32 + 0.0574+6

Add 47.6 and 7.32 to get 54.92.

54.92 + 0.0574+6

Add 54.92 and 0.0574 to get 54.9774.

54.9774 + 6

Add 54.9774 and 6 to get 60.9774.

60.9774

We conclude that the correct option is alternative "B".

What are the solution(s) of the quadratic equation 98 – x2 = 0?

Answers

Answer:

49

Step-by-step explanation:

98-x2=0

-98    -98

\(\frac{x2}{2}\)     \(\frac{98}{2}\)

    49

Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4

Answers

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

Additional comment

Written as an augmented matrix, the system of equations is ...

  \(\left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]\)

PLEASE HELP Four different linear functions are represented below. Answer the following questions.

PLEASE HELP Four different linear functions are represented below. Answer the following questions.

Answers

The closest y-intercept is in function 1 so in option (A), the Greatest y-intercept is +4 in function 3 so in option (C), Functions 1 and 2 will have a slope less than 3 option (A) and (B).

What is a graph?

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

Given four functions,

The y-intercept is a point on the y-axis where the graph intersects therefore coordinate of x will be 0.

In function 1 ⇒ y-intercept = -1 in rest, all it is far from 1 therefore it is close to 0.

The y-intercept of function 3 is →

y = x + 4 ⇒ y = 0 + 4 = 4 which is greatest positive value among all.

The slope of any function associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of function 1 has points (0,-1) and (1,-5)

(-5 + 1)/(1 - 0) = -4 < 3

The slope of function 2 →

(5 - 8)/(-1 + 2) = -3 < 3 rest all function have slope as > 3.

Hence "The closest y-intercept is in function 1, the Greatest y-intercept is +4 in function 3 , Functions 1 and 2 will have a slope less than 3".

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Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y = 575(1 – 0.6)'. Evaluate the
function when t=3. Round your answer to the nearest tenth.
A=
R=%
When t=3, y=

Answers

Initial amount is the first value in the equation = 575

The rate is inside the parentheses and is added/ subtracted from 1.

The value inside the parentheses is 0.6 which is 60 % decay

Replace t with 3 and solve:

575 (1-0.6)^3 = 36.8

Beth has a garden in the shape of a circle in her backyard. Beth needs to find the area of the garden in order to buy the appropriate amount of soil.

If the diameter of Beth's garden is 8 feet, what is the area of the garden

Answers

Answer:

50.26 sq ft

Step-by-step explanation:

area of a circle = (π\4) *d*d

the diameter is given as 8 feet.

area = (π/4)*8*8 = 50.26

Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C

Answers

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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What is 0.36¯¯¯¯ expressed as a fraction in simplest form

Answers

Answer:

I think this is probably late, but the answer is 4/11.

Step-by-step explanation:

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

When 0.3636363636363 is multiplied by 100, the decimal moves from in front of the number 36 and moves behind it. So the answer is now 36.36363636

You're suppose to subtract those two minus each other, the denominator

the fraction is technically 36/99, but simplified version is 4/11. So the answer is indeed 4/11.

Thanks for your time!

Step-by-step explanation:

Answer:

:0.36 repeating can be expressed as 36/99

Step-by-step explanation:

0.36 is equal to 36100, but you can simplify it further by dividing 36 and 100 by 4 to get 925

Find atleast four equivalent fractions for each fraction 8/18

Find atleast four equivalent fractions for each fraction 8/18

Answers

16/36, 24/54, 32/72 and 40/90.

these are the equivalent fractions of 8/18

PLEASE MARK MY ANSWER AS BRAINLIEST

Answer:

16/36, 4/9, 24/54, 32/72

What is the method 1452÷44=(1452÷4)÷11

Answers

Answer:

Step-by-step explanation:

1452÷44=33

Soo...

33=(1452/4)/11

33=363/11

33=33

ITS TRUE!!! (If thats your question)

The left hand side and the right hand side of the expression are equal.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 1452 ÷ 44 = (1452 ÷ 4) ÷ 11

Now,

Solve the expression as;

⇒ 1452 ÷ 44 = (1452 ÷ 4) ÷ 11

Left and side of the expression;

⇒ 1452 ÷ 44 = 1452 / 44

                    = 33

And, Right hand side of the expression as;

⇒ (1452 ÷ 4) ÷ 11 =  (1452 / 4) ÷ 11

                         = 363 ÷ 11

                          = 33

Thus, The left hand side and the right hand side of the expression are equal.

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PLEEEEAAASSEE HELP I AM AWFUL AT MATH

PLEEEEAAASSEE HELP I AM AWFUL AT MATH

Answers

Answer:

the first one is 3.3 the next one is 2.5 the next  one is 0.7 the next one is 2.1 hope this helps

Step-by-step explanation:

Kaylee owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos or burritos. She sells each taco for $3 and each burrito for $6. Kaylee must sell at least $480 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

The system of inequalities is:

x + y ≤ 120

x*3 + y*6 ≥ 480

And one possible solution to it is x = 20 and y = 80.

How to find the system of inequalities?

First, we need to define two variables, we will be using:

x = number of tacos.y = number of burritos.

We know that she can make at most 120 units, then:

x + y ≤ 120

And she wants to win at leastt $480, then:

x*3 + y*6 ≥ 480

So our system of inequalities is:

x + y ≤ 120

x*3 + y*6 ≥ 480

And the graph can be seen in the image below, the solution set of the system is given by the region where both shaded areas intersect.

There we can see that one possible solution is x = 20 and y = 80, in that case the total number of items made is:

20 + 80 = 100, which is less than 120

And the income is:

20*3 + 80*6 = 540.

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Kaylee owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos

PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I put in the box! (Click picture) ‼️‼️

PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I

Answers

Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Please help I have trouble on these...

Please help I have trouble on these...

Answers

The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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Make r the subject of the formula t=r/r-3​

Answers

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Please help me! Thanks.

Please help me! Thanks.

Answers

Answer: Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Step-by-step explanation:

BOOKS Eduardo is writing a historical novel. He wrote 16 pages today, bringing his total number of pages written to more than 50. How many pages p did Eduardo write before today? Complete the inequality that represents this situation. Then solve the inequality.

Answers

Answer:

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Eduardo wrote 16 more pages, increasing his total number of pages above 50.

p = pages he wrote before today

p + 16 > 50

p > 50 - 16

p > 34

He wrote more than 34 pages before today.

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Farmers Pantry Products Inc. and Market Grocers LLC dispute a term in their contract. Because the parties have a long-standing business relationship that they would like to continue, they could settle their dispute through mediation because What does a file extension tell your computer?A. What type of program to openB. When the file was createdC. Where a program is savedD. Which file name to display Which of the following statements is supported by the trophic relationships shown in the diagram?Fishes eat elephant seals.Copepods eat krill.Leopard seals eat elephant seals.Squids eat fishes. Brandon and Sarah have been acting awkwardly around each other lately. They've both noticed a lot more conflict and they haven't spending as much time together like they used to. Brandon and Sarah are in the _____________ stage. How may big data, machine learning and AI technologies transformthe pricing of products and services? Your analysis should refer totheoretical concepts and explain the distinct effects of machinele Not having traffic laws enforced and in place would result infaster traffic.more insurance claims.increased road rage incidents.chaos that would bring the system to a stop.answer: D Activity 4: Crystallization Materials: Glass rod, crystallization (trough) pan, copper sulfate, distilled water, beaker(250mL). Procedure: In a beaker containing 100 mL distilled water, carefully add copper sulfate crystals and stir with the glass rod in order to dissolve the maximum amount of copper sulfate crystals. - Pour the contents of the beaker into a crystallization trough and allow the solution to stand until there is complete evaporation of the water. Analysis: a- What do you observe at the bottom of the trough? b- What are some benefits of crystallization? Figure 2 UF issued a 20-year bond that pays a semi-annual coupon of $32.00, has a par value of $1,000, and a nominal annual yield-to-maturity of 7.508 percent. This bond can be called in 5 years, and the nominal annual yield-to-call is 10.15 percent. Determine the call premium for this bond. $50 $70 $40 $30 $60 HELP I WILL GIVE BRAINLIEST PLEASE HELP MEHHHHHWho wrote Utopia? Order the following from smallest to largest. Place the smallest value at the top of your list.= 10kg= 100g= 1,000,000mg Father, I come to you worn and weary from the hard times I have walked through recently. I come to you seeking your shelter where I know I can find security and rest in your shadow. Father, you are mighty. I know my circumstances are no match for Your great power. Father I place a healing of these people that they feel a conviction in there heart that they would turn from there wicked way and turn to you father. IN JESUS NAME AMEN Find the coordinates of the reflection of (-4,1) across y=x Partial-Year DepreciationEquipment acquired at a cost of $63,000 has an estimated residual value of $4,000 and an estimated useful life of 10 years. It was placed in service on October 1 of the current fiscal year, which ends on December 31.If necessary, round your answers to the nearest cent.a. Determine the depreciation for the current fiscal year and for the following fiscal year by the straight-line method.DepreciationYear 1$Year 2$b. Determine the depreciation for the current fiscal year and the following fiscal year by the double-declining-balance method.DepreciationYear 1$Year 2$ What graph demonstrates the population slowing/stopping after a period of rapid growth? A study done with 40 preschool children showed that they preferred food items with? What biological concept mendal studying when he crossed pea plants many times over many generatoins What is your role in your household in paragraph 5-6 sentence In a partnership, partners may not compete against their own partnership unless:A. they do not monetarily benefit from their competing venture.B. they have been granted the apparent authority to do so.C. they obtain consent from other partners.D. they play the role of silent partners. Last week, a candle store received $329.10 for selling 18 candles. Small candles sell for $9.95 and large candles sell for $24.95. How many large candles did the store sell? Arrange the objects in order from greatest to least potential energy. Assume that gravity is constant. (Use PE=mgh)