A quare i drawn on a grid. Two of it vertice are at (3,3) and (7,7) What i the perimeter of the quare?

Answers

Answer 1

Therefore the solution of this question is  the perimeter of the square on the grid is 16[tex]\sqrt{2}[/tex] units

What is perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

Here,

The perimeter of the square drawn on the grid

The vertices given in the question are (3,3) & (7,7)

The length of the vertices given=[tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2}- y_{1})^{2} }[/tex]

Thus at vertices  (3,3) & (7,7)

=>[tex]\sqrt{(7 -3)^{2} +(7-3)^{2} }[/tex]

=>4[tex]\sqrt{2}[/tex]

Therefore the perimeter of the square = 4a

thus,

=>4*4[tex]\sqrt{2}[/tex]

=>16[tex]\sqrt{2}[/tex] units

Therefore the perimeter of the square on the grid is 16[tex]\sqrt{2}[/tex] units

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Related Questions

A company bought a van that had a value of £12 000
Each year the value of the van depreciates by 25%.
Work out the value of the van at the end of three years.

Answers

12000(1-25/100)^3
=£5062.50

Answer:

The value of the car at the end of 3 years will be £5,062.50.

6. (3x + 1)(x - 2) =
7. (x − 3)(2x - 1) =
8. (x-3y) (2x - y) =
9. (2x - y)(x-2y) =
Hello is there a tutor who can help

Answers

Answer:

6 (3x + 1)(x - 2) = 3x^2 - 2x + x - 2 = 3x^2 - x - 2

7 (x − 3)(2x - 1) = 2x^2 - x - 3x + 3 = 2x^2 - 4x + 3

8 (x-3y) (2x - y) = 2x^2 - yx - 3xy + 3y^2 = 2x^2 - 4xy + 3y^2

9 (2x - y)(x-2y) = x^2 - 3xy + 2y^2 = x^2 - 3xy + 2y^2

One person calls 3 people. The next day, those people each call
3 people. The third day, those people each call 3 people. Write
an expression using exponents for the number of calls made on
the third day.

Answers

Answer:

  3³

Step-by-step explanation:

You want an expression using an exponent to represent the number 3·3·3.

Repeated multiplication

As you know, a coefficient is used to represent repeated addition:

  a + a + a = 3a

The coefficient 3 in the above expression signifies that 'a' appears in the sum 3 times.

Likewise, repeated multiplication can be represented using a specific notation. An exponent signifies the number of times a factor appears in a product:

  a · a · a = a³ . . . . . 'a' is a factor 3 times

Application

You have a sequence of numbers of telephone calls:

  3 the first day

  3·3 the second day

  3·3·3 the third day

The calls on the third day can be represented using an exponent:

  3³

__

Additional comment

When superscript formatting is not available for the exponent, it is signified by a caret (^). The same number is 3^3 when written in plain text.

As you might expect, a plain text exponent must be enclosed in parentheses if it is other than a single letter or number.

A group of friends were working on a student film that had budget of $400. They used 23% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer: they must have used up around 40% of the money if I’m wrong I’m so sorry

Step-by-step explanation: Good luck!

if you multiply 400 by .23 you’re answer will be 92$
400x.23=92
So they used $92

Every hour, the population of a colony of bacteria increases by 4% of what the population was at the beginning of the hour. If the population is 2488 at 12 o'clock, what was the population 2 hours before that

Answers

The population 2 hours before that is 2691 if the population of a colony of bacteria increases by 4% of what the population was at the beginning of the hour.

What is meant by population?

A population is a distinct group of individuals that can be distinguished for the purposes of data collection and analysis by at least one feature. Populations are used in statistics and other branches of mathematics. Data is typically collected from a sample while learning about a large population.

Between sample size and population, the population will always be larger in number. The entire group of individuals under study is referred to as the population. 250 persons make up the population in the illustration, which is the same size as the high school under consideration.

We have P₀=2488

Rate of increase=R=4%

Time=2 hours

Bacteria count =P

P=P₀[tex](1+(R/100)^{T}[/tex]

=2488×(1+(4/100))²

=2488×1.0816

=2691.0208≈2691

Therefore, the population 2 hours before that is 2691.

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How many cubes with edge length 1/5 inch fit in the prism? Show your reasoning.

Answers

The number of cubes with an edge of 1/5 inches will be 2040.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Given that the sides of the prism are,

2²/₅ = 2.40 inches

3¹/₅ = 3.20 inches

2 inches

The volume of the cube is,

2.40 × 3.20 = 8.16

8.16 × 2 = 16.32

The volume of a small cube is,

V = 0.2 x 0.2 x 0.2 = 0.008 cubic inches

Now we need to divide the volume by 2 since each cube is an inch as shown below.

16.32 ÷ 0.008 = 2040

The number of cubes will be 2040.

The complete question is given below.

A rectangular prism measures 2 & 2/5 inches by 3 & 1/5 inches by 2 inches. How many cubes with an edge length 1/5 inch fit in the prism? Show your reasoning.

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Farmer Brown has a farm of chickens and cows. The animal heads total 43, and the cow legs 124. How many of each animal does he have?

Answers

The number of chickens in the farm = 12 chickens

The number of cows in the farm = 32 cows

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of chickens in the farm be = x

Let the number of cows in the farm be = y

Now , the total number of animal heads in the farm = 43

So , the equation will be

x + y = 43   be equation (1)

Now ,

The total number of cow legs = 124

The number of legs for cows = 4

So , the equation will be

4y = 124

Divide by 4 on both sides of the equation , we get

y = 31   be equation (2)

Now , the value of y is 31 , substitute the value of y in equation (1) , we get

x + y = 43

x + 31 = 43

Subtracting 31 on both sides of the equation , we get

x = 12

And , the value of x is 12

Therefore , the number of chickens is 12 and number of cows is 32

Hence , The number of chickens in the farm = 12 chickens

The number of cows in the farm = 32 cows

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5x+10=35 solve for x

Answers

Answer: x=5

Step-by-step explanation:

5

x

+

10

=

35

Subtract

10

from both sides.

5

x

=

35

10

Simplify.

5

x

=

25

Divide both sides by

5

.

x

=

25

5

Simplify.

x

=

5

Answer:

X=5

Step-by-step explanation:

hello could someone explain the law of sines to me?

Answers

Answer:The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

Step-by-step explanation:

Solve the system by sSolve the system by substitution. 3x+14
y=x

Answers

Answer: x = -7y

Step-by-step explanation:

Steps for Solving Linear Equation

3x+14y=x

Subtract x from both sides.

3x+14y−x=0

Combine 3x and −x to get 2x.

2x+14y=0

Subtract 14y from both sides. Anything subtracted from zero gives its negation.

2x=−14y

Divide both sides by 2.

2x/2=-14y/2

Dividing by 2 undoes the multiplication by 2.

x=-14y/2

​Divide −14y by 2.

x=−7y

Consider the following points on the graphs of y = cos(x) and y = cos(x/2), with the added vertical dashed lines:
what are c and d in that order?

Answers

From the given graphs the values of 'c' and 'd' are c = -0.84,

d = 0.84.

What is sinusoidal wave?

A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid. It is a smooth periodic function and a particular kind of continuous wave.

Let the graphs of y = cos(x) and y = cos(x/2) are given.

From this graphs we have to find the value of c and d.

First from y = cos(x) to find the value of 'a'.

Consider, the point  [tex](a, \frac{1}{8})[/tex]

[tex]cos(a) = \frac{1}{8} \\a = cos^-^1(\frac{1}{8})\\ a = 82.82[/tex]

Now to find the value of 'c'.

Plug a = 82.82 in y = cos(x/2).

[tex]cos(\frac{82.82}{2}) = c \\c = -0.84[/tex]

Hence, the value of 'c' is 'c = -0.84'.

Now to find the value of 'd'.

Consider, the point [tex](b, \frac{1}{8})[/tex]

[tex]cosb = \frac{1}{8} \\b = cos^-^1(\frac{1}{8})\\b = 82.82[/tex]

Now, plug b = 82.82 in y = cos(x/2)

[tex]cos(\frac{82.82}{2}) = d\\ d = 0.84[/tex]

Hence, from the given graphs the values of 'c' and 'd' are c = -0.84,

d = 0.84.

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Select the correct answer from each drop-down menu. The Rileys are buying a home that costs $250,000. They are paying 3% in closing costs and 12% for a down payment. Complete the statement. The Rileys will pay a total of BLANK in BLANK costs for the closing costs and down payment on their mortgage

Answers

The Rileys will pay a total of $37500 in $250000 cost for the closing costs and down payment on their mortgage.

Given that,

The Rileys are spending $250,000 on a house. They are making a down payment of 12% and paying 3% in closing expenses.

We have to fill the blanks.

We know that,

$250000 Rileys are spending on a house.

The down payment for 12% and closing cost for 3%

So,

$250000×(12+3)%

$250000×15%

$37500

Therefore, The Rileys will pay a total of $37500 in $250000 cost for the closing costs and down payment on their mortgage.

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Could you solve and show the step by step please?

Answers

Answer:

x1 =1.317

x2=-5.317

Step-by-step explanation:

please help me!!!! i need it done right

Answers

The solution of the system of equations is y = 5 and x = 3, and the difference x - y gives:

x - y = -2

How to solve the system of equations?

Here we have the system of equations:

5x + 3y = 30

-5x - 2y = -25

If we add the two equations we will get:

(5x + 3y) + (-5x - 2y) = 30 + (-25)

y = 5

So just by doing that we found the value of the variable y.

To find the value of x, we can replace the known value of y on one of the equations, doing that we will get:

5x + 3y = 30

5x + 3*5 = 30

5x + 15 = 30

5x = 30 - 15 = 15

x = 15/5 = 3

x = 3

Then the difference x - y gives:

x - y = 3 - 5 = -2

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Please help me with inequalitys

Answers

Answer:

  n = -104

Step-by-step explanation:

You want to identify a solution to the inequality -5 +n/13 < -12.

Solution

Adding 5 we get ...

  n/13 < -7

Multiplying by 13 gives ...

  n < -91

Of the choices available, only -104 is less than -91.

  n = -104

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A solid has a volume of 128 cubic units and a surface area of 160 square units. The solid is dilated, and the image has a volume of 54 cubic units.

What is the surface area of the image?

Answers

Answer:

90 units²

Step-by-step explanation:

The scale factor of the lengths of the sides of a solid must be squared to to find the ratio of the areas and cubed to find the ratio of the volumes.

For example, if you are given two solids with a scale factor of the lengths of the sides of 2, meaning that the sides of the second solid are twice the length of the sides of the first solid, then the surface area of the second solid is 2² (= 4) times the surface area of the original solid, and the volume of the second solid is 2² (= 8) times the volume of the original solid.

Let's say you have a cube with edge of 1 cm. The volume is (1 cm)³ = 1 cm³.

The surface area is the sum of the areas of the 6 faces which are squares 1 cm by 1 cm. 6 × (1 cm)² = 6 × 1 cm² = 6 cm².

The original cube with edge of 1 cm has a volume of 1 cm³ and total surface  area of 6 cm².

Now double the size of the edge of the cube. The new cube has an edge of 2 cm. The volume is (2 cm)³ = 8 cm³. Each face of the cube is a square 2 cm by 2 cm. The total surface area of the new cube is 6 × (2 cm)² = 24 cm².

The new cube has volume 8 cm³ and total surface area 26 cm².

Compare the edges, surface areas and volumes of the two cubes:

                             Original Cube     Dilated Cube    Ratio new/dilated

Edge                              1 cm                    2 cm                    1:2

Surface area                 6 cm²                 24 cm²                 1:4

Volume                          1 cm³                  8 cm³                   1:8

Now here is your problem.

We start with the ratio of the volumes.

Original solid: 128 u³

Dilated solid: 54 u³

ratio of volumes: 54/128 = 27/64 = 3³/4³

The ratio of volumes is the cube of the ratio of the lengths.

ratio of lengths: 3/4

ratio of area: 3²/4² = 9/16

Surface area of original solid: 160 u² × 9/16 = 90 u²

Answer: 90 units²

The diameter of a circle is 18 in. Find the circumference
to the nearest tenth

Answers

Answer:

The circumference is 56.55

Answer: C≈56.55in

Step-by-step explanation

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·18≈56.54867inC=2πr

d=2r

Solving forC

C=πd=π·18≈56.54867in

Write an equation of the line in point-slope form that passes through (7,5) and has a slope of m=4

Answers

Answer:

y = 4x – 23

Step-by-step explanation:

(7,5) and m= 4

x1 = 7, y1 = 5

using the one point form formula

y – y1 = m(x – x1)

y – 5 = 4(x – 7)

y – 5 = 4x – 28

y = 4x – 28 + 5

y = 4x – 23

i hope this helps

pls rate as brainliest answer

A, B, C and D lie on a circle.
AC and BD intersect at X.

Answers

The angles BAX and CDX are equal and the length of CX is 8.2 cm.

What are angles?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Given that, the points A, B, C, D lie on a circle and AC and BD intersect at X.

The angles BAX and CDX, they are subtended by the same arc AD, hence, according to the property of angles subtended by the same arc, they are equal.

Thus ∠BAX = ∠CDX

Since, corresponding sides opposite to the equal angles are proportional.

CX/BX = CD/AB

⇒ CX/3.84 = 9.40/4.40

⇒ CX = (9.40*3.84)/4.40

⇒ CX = 8.2

Thus, length of CX is 8.2cm

The angles BAX and CDX are equal and the length of CX is 8.2 cm

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How much will a 0 affect my grade if I have a 72% And it’s 25 percent of my grade?
help pls

Answers

Answer:

You lose 18% and end up with 54%.

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

You have completed 100% - 25% = 75% of the assignment and have a 72% score.

It gives:

0.75*72% = 54% of overall score

With getting zero it doesn't add anything to overall score of 54% and you lose:

72% - 54% = 18%

12y−15x=84
I HATE MATH

Answers

Answer:

First, you need to add 15x to both sides in order to get y by itself. Then, you need to divide all the numbers by 12. Your answer should be Y=1.25x+7. I hope this helps!

Step-by-step explanation:

Jen wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Jen can pay $52 per month, plus $3 for each group class she attends. Alternately, she can get the second membership plan and pay $31 per month plus $4 per class. If Jen attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month is that? What is that total amount?

ITS DUE TODAY HELP PLEASE

Answers

The number of classes per month that had same total amount paid was 21

The total amount is $115

How to find the total amount

let the number of group class be represented by x

first membership plan, Jen can pay $52 per month, plus $3 for each group class she attends

= $52 + $3x

second membership plan, Jen can pay $31 per month plus $4 per class

= $31 + $4x

when the total amount are equal

$52 + $3x = $31 + $4x

52 - 31 = 4x - 3x

21 = x

The total amount

= $52 + $3 * 21

= $115

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Hello Everyone
Which one has higher density and lower density

cooking oil
water

I need it like like you know like High density and lower density for the materials i used because
I'm doing density Tower project

Send ASAP

Answers

The classifications of the densities of these objects are given as follows:

Lower density: Cooking oil.Higher density: Water.

What is the density of an object?

The density of an object is calculated as the division of the object's mass by the object's volume, according to the equation presented as follows:

Density = mass/volume.

The standard unit of the mass of an object is in grams per cubic centimeters, that is, g/cm³.

Most of the known substances on earth also have known densities, and two examples are cooking oil and water, for which the densities are given as follows:

Cooking oil: 0.6 g/cm³.Water: 1 g/cm³.

1 > 0.6, hence we have that:

Water has the higher density.Cooking oil has the lower density.

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Solve for X. Round to the nearest tenth of a degree, if necessary. 4 S U to 22 30 T​

Answers

The value of [x] in the triangle is 36.25°.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a right angled triangle.

We can write -

tan(x°) = (22/30)

x° = tan⁻¹(22/30)

x° = 36.25°

Therefore, the value of [x] in the triangle is 36.25°.

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PLEASE HELP HURRY!!!!

Answers

Answer:

1) y=-2/3x+5

Step-by-step explanation:

Now I know that I didn't actually do the math for this one. I did see though that it needs to have the point (3,3) on the graph. So then I went to desmos graphing calculator, and I put all of them on the graph. The only one with a (3,3) point was number 1. I put it in the image below so you could see. I know that the rest aren't on there, that's because I removed them because they were in the way.

I hope this helps!!!

Circle which of the following ordered pairs that are solutions to the given system of linear
inequalities.
(1,2) (3, -4) (-3, -2) (0, 0) (-4,5) (0, 4)

Answers

Answer:

(1,2) - function

(3, -4) - function

(-3, -2) - function

(0, 0) - function

(-4,5) - function

(0, 4) - not a function

Isaac has $89,535 in a savings account that earns 8% annually. The interest is not
compounded. To the nearest dollar, how much will he have in total in 4 years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r
is the interest rate expressed as a decimal, and t is the time in years..
Round your answer to the nearest dollar.

Answers

Answer:

Step-by-step explanation:

Please help me with this question. And also are they congruent

Answers

From the calculations triangle DEF ≠ triangle PQR

The side lengths of each triangle are

B DE = √13, PQ = √13, EF = √5, QR = √26, DF = √29, PR = √13

How to find the side lengths of each of the triangle

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

Triangle DEF

D(-7,-3), E(- 4, - 1)

DE = √{(-7 - -4)² + (-3 - -1)²} = √13

D(-7,-3), F(- 2, - 5)

DF =√{(-7 - -2)² + (-3 - -2)²} = √26

E(- 4, - 1)), F(- 2, - 5)

EF =√{(-4 - -2)² + (-1 - -2)²} = √5

Triangle PQR

P(2,- 2) Q(5, - 4)

PQ = √{(2 - 5)² + (-2 - -4)²} = √13

P(2,- 2) R(0, - 5)

PR = √{(2 - 0)² + (-2 - -5)²} = √13

Q(5, - 4) R(0, - 5)

QR = √{(5 - 0)² + (-4 - -5)²} = √26

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9(2x + 3y - 5z) expanded form

Answers

Answer:

[tex]18x+27y-45z[/tex]

Step-by-step explanation:

[tex]9(2x+3y-5z)[/tex]

[tex]= 9(2x)+9(3y)+9(-5z)[/tex]

[tex]=18x+27y-45z[/tex]


I would appreciate it if you mark my answer as brainliest.

Answer:  18x + 27y -45z

Step-by-step explanation:

9(2x + 3y - 5z)

= 18x + 27y -45z

Which inequality is represented in the following graph?

Answers

43 Beacuse mee smart Beacuse mee smart

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The cells release chemicals known as into the synaptic gaps to communicate with one another. . thomson media is considering some new equipment whose data are shown below. the equipment has a 3-year tax life and would be fully depreciated by the straight-line method over 3 years, but it would have a positive pre-tax salvage value at the end of year 3, when the project would be closed down. also, some new working capital would be required, but it would be recovered at the end of the project's life. revenues and other operating costs are expected to be constant over the project's 3-year life. what is the project's npv? which statement is not true? countries with relatively large public sector shares in the economy have the highest growth rates in gdp per capita. the legal enforcement of contracts promotes economic growth. price signals distorted by extreme inflation or deflation lead to uncertainty and lower the ability of citizens to make good decisions. establishing and protecting property rights are key elements that promote economic growth. which of the following tactics is not offered as advice on how to deal with an opponent who brings negative emotion to the negotiating table? next, you prepare for the question-and-answer session that will follow your presentation. to predict what questions they may ask, you do a colleague test of your presentation. you should choose a colleague who has deep expertise in the electric vehicle industry. 1 point true false Select all the correct locations on the table.Classify each situation as an exponential growth, exponential decay, or linear relationship.A catering company purchased a delivery vanfor $25,000. After 2 years, the value of the vanwas $17,500. After 4 years, the value of the vanwas $12,250.At the beginning of the day, a laptop had 100%battery life. After 3 hours, the laptop had 60%battery life. After 6 hours, it had 20% battery life.A tiger reserve had an initial population of20 tigers. After 5 years, the population was30 tigers. After 10 years, the population was45 tigers.exponential growthexponential decaylinear Around the World in 80 Daysby Jules VernePhileas Fogg rightly suspected that his departure from London would create a lively sensation at the West End. The news of the quest spread and afforded an interesting topic of conversation to many. From the neighborhood, it soon got into the papers throughout England. The boasted "tour of the world" was talked about, disputed, argued with much warmth and passion. Some took sides with Phileas Fogg, but the large majority shook their heads and declared against him. It was absurd, impossible, they declared, that the tour of the world could be made. The Times, Standard, Morning Post, and Daily News, and twenty other highly respectable newspapers labeled Mr. Fogg's project as ridiculous. the Daily Telegraph alone hesitatingly supported him. People in general thought he was foolish. Everything, it said, was against the travelers, every obstacle imposed alike by man and by nature.1Select the correct answer.Which choice best provides an objective summary of the excerpt? A. Phileas Foggs tour of the world is a popular topic throughout England. It is being praised by some, but most declare he foolish to embark on such a dangerous quest. B. The headlines in England mainly criticize the tour of world as ridiculous and impossible due to all the obstacles that Phileas Fogg will face from both humans and nature. C. The tour of the world has hit all the headlines in England including the Times, Standard, Morning Post, Daily News, and 20 other highly respectable newspapers. D. Phileas Fogg plans a tour of the world, but it seems that he has lofty ideas about his ability to complete it, as most of England thinks he is foolish and ridiculous. How and why did Americas role on the international stage change? if the insurance company were selling life insurance separately to each group, what would be the actuarially fair premium for each group? if an insurance company were offering life insurance to the entire group, but could not find out about family cancer histories, what would be the actuarially fair premium for the group as a whole? what will happen to the insurance company if it tries to charge the actuarially fair premium to the group as a whole rather than to each group separately? What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?. in a type ii hypersensitivity reaction, when mismatched blood is administered causing an abo incompatibility, the erythrocytes are destroyed by: Your consulting firm is asked to design an activated carbon adsorption system to treat contaminated groundwater containing10mg/L of benzene with a treatment goal of 99% reduction in benzene concentration before injection into groundwater. The extraction well pumps groundwater at100gpm. The activated carbon removal capacity is expressed as the following Freundlich equation:q(mg/g)=2C0.2, where C is the concentration (mg/L) of benzene after adsorption equilibrium. (a) What is the amount of activated carbon (kg) needed per day?(428.3 kg)(b) If the packing density of activated carbon is 1.2 g/cm, how many 55-gallon tanks it would fill? Approximate to the nearest number exceeding the amount of activated carbon required.(2tanks) Dakota moves a magnetic toy train toward a magnet that cannot move. What happens to the potential energy in the system of magnets during the movement?. The population of Browne County is represented by the function f(x)=87,000(0.9)x, where x is the number of years since 2010. The population of Orange County was 102,000 in 2010 and has decreased exponentially at a rate of 16% each year. How do the populations of these counties compare in 2015? In 2015, the population of Browne County was approximately and the population of Orange County was approximately. In 2015, which County was more populous? The pay ratio reporting policy, as part of the Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010, requires that companies report the ratio of their average worker's pay to that ofthe CEO evaluate the expression 3^3