A. How many cube with an edge length of b. What i the volume, in cubic inche, of inch are needed to build a cube with one cube with an edge length of inch? an edge length of 1 inch?

Answers

Answer 1

In order to build a cube with an edge length of b inches, b3 cubes with 1-inch edges are required.

What are cubes?

A cube is a three-dimensional object with six square faces that are all the same size and form in mathematics. A cube has perpendicular sides and is symmetrical along all three axes. Finding the area of one of a cube's faces and increasing it to the third power yields the volume of the object. V=s3, where s denotes one of the cube's sides, is the formula for calculating a cube's volume. Cubes are frequently used in geometry and algebra, and they have a wide range of real-world uses, including volume measurement and the solution of mathematical equations.

How to solve?

The volume of a cube with an edge length of b inches is b3 cubic inches. For instance, if b=3, we would require 33=27 cubes with 1 inch-long edges, and the volume of a cube with a three inches edge would be 33=27 cubic inches.

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Related Questions

Need help on b please

Answers

Answer:

As the age of your car increases the value of that car decreases

Step-by-step explanation:

hope this helps

What is the slope-intercept form of the equation of a line the line passing through point (6, -1)
that is parallel to y = 2x - 3?

Answers

Answer:

baba perksssssssssssssss

Step-by-step explanation:

Answer: y=2x-13

Step-by-step explanation:

When lines are parallel to each other they have the same slope so the slope of the line we are trying to find is 2.

To find the y-intercept we can turn the equation into point-slope form using our point (6,-1) and slope (2).

Point-Slope Form: y-y1=m(x-x1)

y+1=2(x-6)

Then solve for y to find the y-intercept

y+1=2x-12

y=2x-13 is your answer in Slope-intercept form

What’s the square root of 9 ? Explanation

Answers

Answer:

The square root of 9 is equal to 3.

Step-by-step explanation:

Square roots are essentially x squared = y. In this case, y is 9. x squared makes x = 3 because 3 * 3 * 3 = 9

The answer would probably be 3! And I think how u could get that is from since 3 x 3 x 3 is 9.

Name the corresponding part if polygon WXYZ polygon PQRS.

X =

Answers

The corresponding angle of X is angle Q

What are corresponding shapes?

Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes. For any two polygons to be congruent, they must have exactly the same shape and size. This means that all their interior angles and their corresponding sides must be the same measure.

For two congruent shapes, the corresponding are equal.

if polygons WXYZ and PQRS are congruent, then, line XY= line QS

Therefore angle X= angle Q

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Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded quarterly until
April 1 of the fillowing year.

Answers

The amount of money in the account by April 1st of the following year is $4372.78.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount =3620(1+6.5/100)³

= 3620(1+0.065)³

= 3620(1.065)³

= $4372.78

Therefore, amount of money in the account by April 1st of the following year is $4372.78.

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set up an equation and solve: the length of a rectangle is 4 feet more than three times the width. the perimeter is 48 feet. find the length and the width of the rectangle.

Answers

solving the equation, the width of the rectangle was found to be 6.67 feet and the length was found to be 22.67 feet.

Let x = the width of the rectangle

Then, the length = 3x + 4

Perimeter = 2(3x + 4) + 2x = 48

2(3x + 4) + 2x = 48

6x + 8 = 48

6x = 40

x = 40/6

x = 6.67 feet

The width of the rectangle = 6.67 feet

The length of the rectangle = 3(6.67) + 4 = 22.67 feet

To solve for the length and width of the rectangle, an equation was set up using the perimeter of 48 feet. The length was represented by 3x + 4, where x is the width. After solving the equation, the width of the rectangle was found to be 6.67 feet and the length was found to be 22.67 feet.

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Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.
R′(x) = 0.06x^2 − 0.05x + 138

Answers

The demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.

Define Marginal revenue

Marginal revenue is a central concept in microeconomics that describes the additional total revenue generated by increasing product sales by 1 unit.

Given expression is,

R′(x) = 0.06x² − 0.05x + 138

To make R'(x) to R(x) just integrate R'(x),

R(x) = ∫ R'(x) dx

      = ∫ (0.06x² − 0.05x + 138) dx

      =  0.06x³/3 − 0.05x²/2 + 138 x  + C

We get, R(x) = 0.02x³ − 0.025x² + 138 x  + C

It's given, the revenue is 0 means no items sold so R(0) = 0.

Now, put x = 0 and find C

R(0) = 0.02(0)³ − 0.025(0)² + 138 (0)  + C

   0 = 0 + C

C = 0

So, R(x) = 0.02x³ − 0.025x² + 138 x, since C = 0

Now, take x common from R(x) will give us,

R(x) = x( 0.02x² − 0.025x + 138 )

so, R(x) = x p(x)

so, p(x) = 0.02x² − 0.025x + 138

Hence, the demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.

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Use fundamental identities to solve the equation.
csc^3 (x) - csc^2 (x) - csc (x) + 1

Answers

x = ± π/2 + 2kπ    with k ∈ Z is the solution of fundamental identities

What is fundamental identities?

An equation is referred to as an identity if it has one or more variables and holds true for any replacement value of each variable that is specified on both sides of the equation.

 y = cscx

  y³ - y² - y + 1 = 0   has a root for y = 1

     

=  y³ - y² - y + 1  

= ( y² - 1 ) ( y - 1 )

= ( y + 1 ) ( y - 1 )²

   cscx = ± 1

  sinx = ± 1

or

  x = ± π/2 + 2kπ    with k ∈ Z

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17.
DEFG is a square. Find DG.

Answers

Answer:

DG = √[tex]2x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] + [tex]x^{2}[/tex] = 2[tex]x^{2}[/tex]

DG = √[tex]2x^{2}[/tex]

to use a binomial distribution to approximate the count of successes in an srs, why do we require that the sample size n be no more than 10% of the population size n?

Answers

When the 10% criterion is met, we can use a binomial distribution to approximate the number of successes in a simple random sample (SRS) (as a simple random sample selects the trials without replacement).

The sample must be less than 10% of the population in order to satisfy the 10% requirement. It is fair to presume that the trials are independent because the sample is so much smaller than the population (even though the sampling occurred without replacement).

This suggests that the sample size n in this situation must be less than 10% of the population size NN.

This is the reason why 10% condition should be met.

In a binomial probability distribution, the number of successes in a series of n experiments is represented as either success or failure   (probability q = 1 p), depending on the outcome's boolean value. A Bernoulli trial or experiment is another name for a single success or failure test, while a Bernoulli process is another name for a sequence of results.

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I dont know which comes first

Answers

Answer:

Step-by-step explanation:

Distribute 3

Subtract 3x

Divide 9

-4/3 = x

Check

(PICTURE INCLUDED) What are the missing parts that correctly complete the proof?

Answers

It is proved that Point A is situated equal distance from Triangle PQA and RQA.

What is bisector?

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

what is congruent triangle?

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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Write a story or situation that can be represented by the given equation.
4a + 5=12a − 11

Answers

story that represented equation, Maria, who liked cookie packages, did the arithmetic and discovered that the price of 4 cookie packages plus $5 is equivalent to the price of 12 cookie packages less $11.

What is a equation?

A mathematical equation is a formula that connects two expressions with the equal sign = to express equality.

As a fan of cookie packages, Maria did the math and found that the cost of 4 packages of cookies + $5 is equal to the cost of 12 packages of cookies less $11.

[tex]'a'[/tex] represents the expense of a box of cookies,

On one side of the equation, we have the 4 packages of cookies plus $5.

[tex]4a + 5[/tex]

additionally, the 12 packages of cookies less 11 dollars on the other side of the equation.

[tex]12a - 11[/tex]

Now,

[tex]4a + 5 = 12a - 11[/tex]

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if m, p, and t are distinct positive prime numbers, then m3pt has how many different positive divisors greater than 1 ?

Answers

There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

How to find the number of positive factors for a number?

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

Calculation:

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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2(log 2x − log y) − (log 3 + 2 log 5)

Answers

Answer:

.................=/

Step-by-step explanation:

the estimated regression equation is . a. what is the value of the standard error of the estimate (to decimals)?

Answers

The value of the standard error of the estimate is 6.5141.

Given :

the estimated regression equation is y = 7.6 + 0.9x

we need to find the value of the standard error of the estimate.

Regression equation ;

A regression equation is used in stats to find out what relationship, if any, exists between sets of data.

Standard error :

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.

here n = 5 and k = 2

σ = [tex]\sqrt{127.3/3}[/tex]

= 6.5141.

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Full question:

the estimated regression equation is y = 7.6 + 0.9x . a. what is the value of the standard error of the estimate (to decimals)?

An arithmetic sequence is given below.
7, 13, 19, 25,
the
Write an explicit formula for the n'th term
a’n

Answers

Hello,

I hope you and your family are doing well!

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the difference between consecutive terms is 6, so the common difference is 6.

The explicit formula for the nth term of an arithmetic sequence with first term a1 and common difference d is:

a_n = a1 + (n-1)d

Plugging in the values from the given sequence, we have:

a_n = 7 + (n-1)6

This is the explicit formula for the nth term of the arithmetic sequence.

For example, if you want to find the fifth term of the sequence, you would plug in n = 5:

a_5 = 7 + (5-1)6 = 7 + 4*6 = 7 + 24 = 31

So the fifth term of the sequence is 31.

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Happy Holidays!

9. a travel agency will plan tours for groups of 25 or larger. if the group contains exactly 25 people, the price is $300 per person. however, the price per person is reduced by $10 for each additional person above 25. you want to find what size group will produce the largest revenue for the agency. when x is the number of people added to the 25, the total revenue will be r(x)

Answers

If more than 25 people are added, the total revenue will be r(x) = $ 50, with the x = 5 size group producing the highest revenue for the agency.

what is marginal revenue ?

The law of diminishing returns dictates that marginal revenue will eventually begin to decline as output level rises, even though it can remain constant above a certain threshold of output.

calculation

If a group of 25 people or more, a travel agency will organize the excursion.

The cost is $300 per person, if the group has exactly 25 participants. However, the cost per person drops by $10 for each additional person beyond the calculated maximum of 25.

R(X) = ( 25 + x ) ( 300 - 10x ) ( 300 - 10x )

evaluate in relation to x = R'(X) = 300 - 10x - 250 - 10x = 50 - 20x

We now have 30 people, which means that there are 5 more persons than 25.

Marginal revenue equals $50 when x = 5 and R'(X) = 50 - 20(5).

The revenue will drop by $50 for the following individual (31st ).

If more than 25 people are added, the total revenue will be r(x) = $ 50, with the x = 5 size group producing the highest revenue for the agency.

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y = x + 2 on a graph with the solution

Answers

here's your answer hope it helps :D

Please help me with this question in the picture

Answers

Answer:c

Step-by-step explanation: decreasing

The equation c = 6.99p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.

Which description is true, based on the equation of the proportional relationship?

For $1, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 1 pound of shrimp.
For $0.01, you can buy 1 pound of shrimp.

Answers

For $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct

What is a Ratio?

A ratio indicates the number of times one number contains another.

The given equation is c = 6.99p, where c is the cost and p is the weight in pounds.

c = 6.99p

substitute p = 1:
c = 6.99

Hence, for $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct.

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lucia flips a coin three times. what is the probability that she gets head-tail-head, in that order? express your answer as a common fraction.

Answers

The probability that Lucia receives (Head, Tail, Head) within this order is 1/8.

Describe the term probability?The probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages extending between 0% to 100% can be used to describe probabilities.

A coin toss has a total of two possible outcomes.

Three coin flips have a total of eight outcomes possible: 2 x 2 x 2 = 8

Positive result = (Head, tail, Head) in that sequence

i.e., 1 is the number of favourable results.

As we well aware,

Probability = favourable outcome / total outcome

The needed probability follows as a result.

Probability (first head) = 1/2

Probability (second tail) = 1/2

Probability (third head) = 1/2

Thus,

Probability(Head, tail, Head) = 1/2 x 1/2 x 1/2

Probability (Head, tail, Head) = 1/8

Consequently, the likelihood that she receives (Head, Tail, Head) within this order is 1/8.

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A houe on the market wa valued at 376,000. After everal year, the value decreaed by 9%. By how much did the houe value decreae in dollar. What i the current value of the houe?

Answers

The house value is decreased by $33840 and the current value of the house is $342160

Here, we have been given a house on the market was valued at $376,000.

The value decreased by 9% .

We need to find the amount by which the house value decreased in dollar and the current value of the house.

The 9 percent of $376,000

376,000 * (9/100) = 33840

This means, the house value is decreased by $33840

So, the current value would be,

376,000 - 33840 = 342160

Therefore, the house value is decreased by $33840.

The current value = $342160

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Hurricanes are large storms that form over warm waters out in the ocean. hurricanes are associated with low-pressure regions in the atmosphere. how does the low pressure associated with a hurricane help them to grow big and powerful?

Answers

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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A model is drawn with a scale of 1:200.
a) The model is 17.5cm long. Find the actual length, in metres of the boat.
b) The actual length of the boat is 6.2m. Find the height, in centimeters, of the model.

Answers

Answer:

3500

Step-by-step explanation:

1 : 200 = 17.5 : x

x = 200 × 17.5

x = 3500

Solve the equation
2x^3-4x^2-96x=-8x^2

Answers

Answer:

x = 6 or x = 0 or x = -8

Step-by-step explanation:

Solve for x over the real numbers:

2 x^3 - 4 x^2 - 96 x = -8 x^2

Add 8 x^2 to both sides:

2 x^3 + 4 x^2 - 96 x = 0

The left-hand side factors into a product with four terms:

2 x (x - 6) (x + 8) = 0

Divide both sides by 2:

x (x - 6) (x + 8) = 0

Split into three equations:

x - 6 = 0 or x = 0 or x + 8 = 0

Add 6 to both sides:

x = 6 or x = 0 or x + 8 = 0

Subtract 8 from both sides:

Answer: x = 6 or x = 0 or x = -8

omar had 5/7 acres of land. He planted 5/6 of this land with corn. How many acres did he plant with corn

Answers

Answer: He planted 5/42 acres

Step-by-step explanation:

First, find the common of 7 and 6, which is 42

5/7 - 5/6

= 30/42 - 35/42

= -5/42

what is 7 8/11 rounded to the nearest tenth

Answers

The provided mixed fraction (7 8/11) will have a decimal value of 7.7.

What is fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

Here,

7 8/11=(7*11+8)/11

=85/11

=7.7

The value of the given mixed fraction 7 8/11 will be 7.7 in the decimal format.

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Jason spent $25.50 on movie tickets. Each movie ticket (m) cost $8.50 . Which equation could be used to represent how many tickets Jason bought?

Answers

Answer:

8.50m = 25.50

Step-by-step explanation:

Total movie ticket spent = 25.50

Movie ticket unitary price = 8.50

Then an equation to represent that is:

8.50m = 25.50

m = 25.50/8.50

m = 3

Answer:

He bought 3 tickets

Step-by-step explanation:

Add $8.50 3 times to get how much he spent

The average speed of a ship for the first hour of a journey is 32 km/hr.Its average speed for the next 2 hours is 41 km/hr.Find its average speed for the whole journey.

Answers

The average speed for the whole journey is 24.3 km per hour.

What is the average speed for the whole journey?

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

It should be noted that:

Speed = Distance / Time

Distance = 32km + 41km

= 73km

Time = 1 hour + 2 hours

Time = 3 hours

Speed = Distance / Time

Speed = 73 / 3

Speed = 24.3 km per hour.

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Write an equation to show that 68 is 8 times an many as 6. What is the slope-intercept form of the equation of a line the line passing through point (6, -1)that is parallel to y = 2x - 3? Read the quotation from "Song of Myself."I know I have the best of time and space, and was never measured and never will be measured.How does this line support the theme of the poem?It reflects Whitmans exceedingly high opinion of himself.It shows Whitmans love of life and of experience.It indicates Whitmans perception that he is above others judgment.It reflects Whitmans ideas about the capacity of the human spirit. Given 45.73 moles of BCl3, how many grams are present? Using Function NotationState if the following are functions or not. an oxygen tank used in a hospital setting has a pressure of 4.0 atm and contains 60.0% o2 and 40.0% n2 by volume. what is the partial pressure of o2 in the tank? g Predict the product of the following reaction, then balance the equation.Mg (s) + O2(g) If 2x-4 = 6, what is the value of 3x + 2? You decide you dont like worm o you go into your backyard and dig up all of the earthworm. Explain how removing the earthworm could affect the ecoytem in your yard Which part of a tidal power plant is the tidal water pushed through to generate electricity?. An arithmetic sequence is given below.7, 13, 19, 25,theWrite an explicit formula for the n'th terman One of the first tasks to complete when creating a game is to describe the _____________ of the game to yourself. A. elements B. sprites C. colors D. sounds Based on the karyotype below, what disorder does this individual have?A. Turners syndrome; 45 chromosomes; X0B. Kleinfelter syndrome; 47 chromosomes; XXYC. Down syndrome; 47 chromosomes; trisomy 21D. Patau syndrome; 47 chromosomes; trisomy 13 what is the IUPAC name of CuBr clinical biofeedback is held to be superior to all other relaxation techniques due to its ability to promote a deep sense of relaxation.true false A model is drawn with a scale of 1:200.a) The model is 17.5cm long. Find the actual length, in metres of the boat.b) The actual length of the boat is 6.2m. Find the height, in centimeters, of the model. Help please!!!!!! Which table represents a linear equation that has a y-intercept of -3? what term refers to the degree to which power and decision-making authority are concentrated at higher levels of the organization rather than distributed What is Simon most likely to do alongside his colleague?ResponsesA. ShopB. CookC. ExerciseD. Work You work at a computer repair store. You want to use the RAID feature on the motherboard to configure two RAID arrays. You have installed five new SATA hard drives in the computer. You have installed Windows on the first drive, and you want to use the other four drives in your RAID arrays.In this lab, your task is to complete the following:Configure RAID for the SATA drive mode.Define LD1 as a striped array using all of the space on two disks.Define LD2 as a mirrored array using all of the space on two disks.If you miss the keystrokes for entering the BIOS or RAID configuration utility, select Send Ctrl + Alt + Del at the bottom of the screen to restart the computer.