A, B, C, D, E, F, G & H form a cuboid. AB = 5.8 cm, BC = 2 cm & CG = 8.5 cm. Find ED rounded to 1 DP.

A, B, C, D, E, F, G & H Form A Cuboid. AB = 5.8 Cm, BC = 2 Cm & CG = 8.5 Cm. Find ED Rounded

Answers

Answer 1

The value of length ED in the cuboid is determined as 8.7 cm.

What is the value of length ED?

The value of length ED is calculated as follows;

The line connecting point E to point D is a diagonal line, and the magnitude is calculated by applying Pythagoras theorem as follows;

ED² = AE² + AD²

From the diagram, AE = CG = 8.5 cm,

also, length AD = BC = 2 cm

The value of length ED is calculated as;

ED² = 8.5² + 2²

ED = √ ( 8.5² + 2²)

ED = 8.7 cm

Thus, the length of ED is determined by applying Pythagoras theorem as shown above.

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Related Questions

Describe the following expressions in words: x+4 ​

Answers

Four added to a number

Hope this helped :)

A machine has 28 identical components which function independently. The probability that a component will fail is 0.19 . The machine will stop working if more than three components fail. Find the probability that the machine will be working. Round to the nearest thousandth.

Answers

By definition of a binomial random variable,  the probability that the machine will be working is 0.82045.

Definition of probability

First of all, you should know that the Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

Definition of random variable

On the other hand, a random variable is a function that associates a real number, perfectly defined, to each sample point.

A random variable is discrete if the numbers it gives rise to are integers.

Definition of binomial distribution

Finally, a binomial distribution is a discrete probability distribution that describes the number of successes in performing n independent experiments on a random variable.

The expression to calculate the binomial distribution is:

P(X=x)=([tex]n\\ x[/tex]) pˣ qⁿ⁻ˣ

Where:

n = Number of trials/experimentsx = Number of successesp = Probability of successq = Probability of failure (1-p)

Remember that:

([tex]n\\ x[/tex])=[tex]\frac{n!}{x!(n-x)!}[/tex]

where the exclamation mark represents the factorial symbol, that is, the product of all positive integers from 1 to n.

Probability that the machine will be working

A machine has 28 identical components which function independently. The probability that a component will fail is 0.19.

The following random variable is defined:

x= the number of components will stop working.

Being n the total number of pieces (in this case, 12 pieces) and p the probability of success (the piece fails, in this case 0.19), the expression to be used is expressed as:

P(X=x)=([tex]12\\ x[/tex]) 0.19ˣ (1-0.19)¹²⁻ˣ

P(X=x)=[tex]\frac{12!}{x!(12-x)!}[/tex] 0.19ˣ (0.81)¹²⁻ˣ

Since the machine will stop working if more than three components fail, you need to know the probability that the machine will be working if 3 or less than 3 components fail. In other words, it may be that 0, 1, 2 or 3 pieces are broken and the machine continues to work:

P(X≤3)= P(X=0) + P(X=1) + P(X=2) + P(X=3)

Then:

P(X≤3)= [tex]\frac{12!}{0!(12-0)!}[/tex] 0.19⁰ (0.81)¹²⁻⁰ + [tex]\frac{12!}{1!(12-1)!}[/tex] 0.19¹ (0.81)¹²⁻¹ + [tex]\frac{12!}{2!(12-2)!}[/tex] 0.19² (0.81)¹²⁻² + [tex]\frac{12!}{3!(12-3)!}[/tex] 0.19³ (0.81)¹²⁻³

Solving:

P(X≤3)= [tex]\frac{12!}{0!12!}[/tex] ×1×(0.81)¹² + [tex]\frac{12!}{1!11!}[/tex] 0.19×(0.81)¹¹ + [tex]\frac{12!}{2!10!}[/tex] 0.19²×(0.81)¹⁰ + [tex]\frac{12!}{3!9!}[/tex] 0.19³×(0.81)⁹

P(X≤3)= 1×1×(0.81)¹² + 12×0.19×(0.81)¹¹ + 66×0.19²×(0.81)¹⁰ + 220×0.19³×(0.81)⁹

P(X≤3)= (0.81)¹² + 2.28×(0.81)¹¹ + 2.3826×(0.81)¹⁰ + 1.50898×(0.81)⁹

P(X≤3)= 0.82045

Finally, the probability that the machine will be working is 0.82045.

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Two poles of different heights are used for a climbing event and need to be secured to the ground using wires. The shorter pole is 6.0 m tall and the wire is secured 8.0 m from the base of the pole. If wire of the taller pole is 16.0 m long. Determine the height of the taller pole .

Answers

Using similar triangles, it is found that the height of the taller pole is of 9.6m.

What are similar triangles?

Similar triangles are triangles that have the same angles, and whose side lengths are proportional.

The hypotenuse of the smaller triangle is given as follows:

h² = 6² + 8² -> h = 10.

Hence the proportional relationship is:

[tex]\frac{10}{16} = \frac{6}{h}[/tex]

Applying cross multiplication:

10h = 96

h = 9.6m.

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4

Answers

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

2.3p – 10.1 = 6.49p – 4 and230p – 1010 = 650p – 400 – p

Which equations have the same solution as the given equation?

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.

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Answer:

B & C

Step-by-step explanation:

edge 2023

Use the explicit formula an= a₁ + (n-1) d to find the 500th term of the
sequence below.
24, 31, 38, 45, 52, ...

Answers

Therefore, the 500th term of the sequence exists 3517.

How to estimate the 500th term of the sequence?

The given sequence is 24, 31, 38, 45, 52, ...

It exists an Arithmetic progression.

Here, the First term = 24

Common difference = 31 - 24 = 7

The given explicit formula for the nth term exists

an = a₁ + (n - 1)d

Where a₁ exists the first term, d exists a common difference.

Substitute a₁ = 24, d = 7 and n = 500

a(500) = 24 + (500 - 1)7

 = 24 + (499)7

 = 24 + 3493

a(500) = 3517

Therefore, the 500th term of the sequence exists 3517.

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To remain a member of the student council, a student must attend at least Three-fourths of the activities. Joey attends 15 of the activities and remains on the student council. Which inequality represents the total amount of student council activities, a?

Answers

Answer:

20

Step-by-step explanation:

so we need to see that

3/4 x ? = 15

so we say

3 x ? = 15x4

? =60/3

?= 20

how much would 500 invested at 4% interest compounded continuously be worth after 7 years? round your answer to the nearest cent

Answers

Answer: the answer is 661.55

Step-by-step explanation:

interest formula: F = Pe^(rt)

How many ms in a second?

Answers

1000. its making me type more stuff

The probability of picking an ace at random out of a
deck of 52 cards is What would be the probabil-
13
ity of picking an ace at random if 2 aces were
removed from the deck?

Answers

Answer:

2/50=1/25

Step-by-step explanation:

2 aces are removed hence 2 aces are left out of 50 cards

The distance to your uncle's house is 444 miles, and the distance to Atlanta is 555 miles. If it took 12 hours to drive to your uncle's house, how long would you estimate the drive to Atlanta to take

Answers

It takes 15 hours to drive to Atlanta. Using the distance-time-speed formula the required time is calculated.

What is the distance-time-speed formula?

The relation between distance 'd', time 't', and speed 's' is given by the formula,

s = d/t or

d = st or

t = d/s

Calculation:

It is given that,

The distance to uncle's house = 444 miles

The time taken to drive to uncle's house = 12 hours

So,

speed = (444)/12 = 37 miles/hour

Then the time to drive 555 miles(to Atlanta) is calculated by,

time t = (555)/37 = 15 hours

Therefore, it takes 15 hours to drive to Atlanta at 555 miles of distance.

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Suppose a and b are independent events. if p(a) = .5 and p(b) = 0.45 what is p(a^b)

Answers

If P(a)=0.5 and P(b) =0.45, then P(a ∩ b) is 0.225.

What are independent events?

Independent events are events such that the occurrence of one event won't affect the other.

Therefore,

P(a) × P(b) = P(a ∩ b)

Hence,

P(a) = 0.5

P(b) = 0.45

Therefore,

P(a ∩ b) = 0.5 × 0.45

P(a ∩ b) = 0.225

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Destiny bags 3 grocery bags a minute. how long will it take her to bag 150 bags?

Answers

Answer: I believe its 50 because you would have to see 3 x what equals 150

Step-by-step explanation:

The time taken to her to bag 150 bags is 50 minutes.

What is grocery?

Grocery Items are any of the items listed that are offered only for off-premises consumption are as follows:-

(1) packaged or fresh fish, meat, or poultry.

(2) packaged or fresh plants or vegetables.

(3) packaged or fresh dairy goods (other than ice cream, frozen yogurt, or other confection/dessert items).

According to the given question, Three grocery bags are packed every minute. So, the time taken to 150 bag the time taken is computed as follows:-

Time Taken =  Total number of bags/Number of bags per minute

                   =  150 / 3

                   =  50 minutes

Therefore, it can be concluded that the time taken for her to bag 150 bags is 50 minutes.

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You are tasked with constructing a rectangular box with a square base, an open top, and a volume of 184 in3. Determine what the dimensions of the box should be to minimize the surface area of the box. What is the minimum surface area

Answers

The dimension of the box should be 1.7×1.7×3.58 in inches, applying minimization of surface area.

Dimensions to Minimize the Surface Area of the Box

It is given that the box is square based with an open top.

⇒ The box has one square and 4 rectangles

Thus, the total surface area of the box is given as,

S= a²+ab+ab+ab+ab  

S= a²+4ab ______________ (1)

Here, a is the side of the squared base and length of the rectangular sides of the box, b is the breath of the rectangular sides of the box.

This equation is later used for minimization of the surface area.

Also, the volume, V = a²b

It is also given that volume of the box is 184 in³.

⇒ 184 = a²b _____________ (2)

Forming a One-Variable Equation

From equation (2), b=184/a²

Now, substitute this value of b in equation (1) to get,

S = a² + 4a(184/a²)

S = a² + 4(184/a)

S = a² + 736/a

Minimization of Surface Area to find the Dimension

We require a dimension that will minimize the surface area of the box. Hence, applying minimization surface area, dS/da = 0

dS/da = 2a -736/a²

0 = 2a -736/a²

⇒ 0 = 2a³- 736

2a³ = 736

a³ = 736/2

a³ = 368

a = ∛368

a= 7.17 in

∵V = a²b

184 = (7.17)²b

b = 184/7.17²

b = 184/51.4089

b = 3.58 in

Therefore, 1.7×1.7×3.58 in inches is the required dimension for the box, using minimization of surface area..

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Michael rode on the train 168.45 miles the first week of work and 149.85
miles the second week. ABOUT how many miles did he ride on the train
during the two weeks?
a.) a little less than 320
b.) a little more than 320
c.) a little less than 330
d.) a little more than 330

Answers

Answer:

A little less than 320

Step-by-step explanation:

Round the miles to 168 and 150

Add together 168 + 150 = 318

Answer: a. a little less than 320

simplify 1/5 (-16-9) + 4^2 ÷ 8 A.-3 B.7 C. -7/5 D.3/5

Answers

The simplified form of the expression [1/5 (-16-9) + 4² ÷ 8] is -3.

Option A) is the correct answer.

What is the simplified form of the expression?

Given the expression;  1/5 (-16-9) + 4² ÷ 8

First we remove the parentheses and perform the operations using the guidelines of BODMAS

1/5 (-16-9) + 4² ÷ 8

1/5 × -25 + 4² ÷ 8

1/5 × -25 + 16 ÷ 8

-25/5 + 16/8

-5 + 2

-3

The simplified form of the expression [1/5 (-16-9) + 4² ÷ 8] is -3.

Option A) is the correct answer.

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Find the volume of the pyramid. Round to the nearest tenth if necessary. PLEASE HELP!!

Answers

Answer:

27.183, 27.2

Step-by-step explanation:

First, do the formula for the triangle:

[tex]\frac{1}{2}[/tex] x 4.1 x 2.6 = 5.33

Next, multiply that by the base side:

5.33 x 5.1 = 27.183

Answer:

1/2 x 4.1 x 2.6 = 5.33

5.33 x 5.1 = 27.183

Rounding off to nearest tenth = 27.2 m^3

2. Find the area of the circle. Round to the nearest tenth.

A.113.1
B.37.7
C.18.8
D.28.3

Answers

The answer is D.

The formula to find area of a circle is : πr²

Here, we are given the diameter, but we need the radius. Always remember that the radius is always half the diameter.

Let's find the area.

A = π × r²A = 3.14 × (3)²A = 3.14 × 9A = 28.26A ≈ 28.3

What is WX? Explain your reasoning.
I know all the angles but I’m not sure on how to find WX or what equation to use.

Answers

Answer:

180

Step-by-step explanation:

Solution 1: Any straight line is 180 degrees.

Solution 2: Angle WX=Angle YZW+ Angle YZX

Angle YZW=Angle YZX=90

Angle YZW+ Angle YZX=90+90=180

So Angle WX=180

Answer:

Step-by-step explanation:

You can find WX if you know some special properties of special triangles:

1. A 45-45-90 triangle (a triangle with angle measures of 45°, 45°, and 90°) will have a 1:1:√2 ratio (the legs of the triangle are the same length and the hypotenuse is the length of any leg times √2)

2. A 30-60-90 triangle (a triangle with angle measures of 30°, 60°, and 90°) will have a 1:√3:2 ratio (the hypotenuse is twice the measure of the shorter leg, and the longer leg is √3 times the length of the shorter leg)

For reference, a leg is a side on a right triangle that isn't the hypotenuse.

In this picture, the first type of triangle is on the right, and the second type is on the left.

WZ

The shorter leg on the left triangle has a length of 10, and WZ is the longer leg. The longer leg is √3 times the shorter one, so WZ = 10√3

ZX

Both legs of a 45-45-90 triangle have the same measure, so ZX is 10.

Since WX is made up of WZ and ZX, it's length is the sum of both lengths.

[tex]{\rm WX} = 10\sqrt{3}+10[/tex]

[tex]{\rm WX} \approx 27.321[/tex]

The water park charges a $45 fee plus $5 per student for a field trip. The
bowling alley charges a $35 fee plus $7 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Cost ($)
100
90
80
70
60
50
40
30
20
10
Field Trip Costs
y = 35+ 7x
y = 45 + 5x
1 2 3 4 5 6 7 8 9 10
Number of students

Answers

Using linear functions, the cost will be the same, of $70, when there are 5 students.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the functions are:

y = 45 + 5x.y = 35 + 7x.

The costs are the same when:

45 + 5x = 35 + 7x

2x = 10

x = 5.

The cost is:

y = 45 + 5 x 5 = $70.

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A data value is considered​ _______ if its​ z-score is less than 2 or greater than 2.

Answers

A data value is considered significantly low or significantly high  if its​ z-score is less than -2 or greater than 2.

What does it mean if z-score is 2?

A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average. For example, if a z-score is equal to -2, it is 2 standard deviations below the mean.

What does a standard deviation of 2 mean?

Standard deviation tells you how spread out the data is. It is a measure of how far each observed value is from the mean. In any distribution, about 95% of values will be within 2 standard deviations of the mean.

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The correct question is -

A data value is considered​ _______ if its​ z-score is less than minus−2 or greater than 2.

visualize "4.298" on the number line

Answers

Answer:

Step-by-step explanation:

The visualization of "4.298" on the number line is attached below.

How does the dot plot work?

Suppose we're measuring something whose values are numeric.

For each value of that thing we observe, we plot a dot above that value in the number line.

Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

We know that 4.298 is greater than 4 but less than 5.

The visualization of "4.298" on the number line is attached below.

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What is 8 11/12 + 9 5/18

Answers

Step-by-step explanation:

The picture is the full explanation for this question answer.

18.19 is the solution for the given improper function.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To add 8 11/12 and 9 5/18, we need to first find a common denominator. The smallest number that both 12 and 18 divide evenly is 36.

Converting 8 11/12 to an improper fraction:

8 11/12 = (8 × 12 + 11) / 12 = 107/12

Converting 9 5/18 to an improper fraction:

9 5/18 = (9 × 18 + 5) / 18 = 167/18

Now that we have a common denominator of 36, we can add the two fractions:

107/12 + 167/18 = (107 × 3) / (12 × 3) + (167 × 2) / (18 × 2)

= 321/36 + 334/36 = 655/36

So 8 11/12 + 9 5/18 = 655/36 or approximately 18.19.

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What value, written as a decimal, should lena use as the common ratio? 1.0 1.5 2.5 2.0

Answers

The Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0

According to the question,

1.0  1.5  2.5  2.0

a = 1.0

r = 1.5/1 = 1.5

r = 2.5/1.5 = 1.6667

r = 2/2.5 = 0.8

common ratio is different, so given sequence is not geometric sequence.

Hence,  the Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0.

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6.
Write
√18+10
√2
in the form a+b√√3 where a and b are integers.

Answers

Answer:

3+10 square root of 2

Step-by-step explanation:

[tex](3 + 10) \sqrt{2} [/tex]

What is the recursive formula for the geometric sequence with this explicit
formula?

a^n=9(-1/3)^(n-1)

Answers

The answer of this equation is a^n=9(-1/4) (n+ 1)

In total, 2 baseballs and 3 footballs cost $67. a football is $4 more than 3 times the cost of a baseball. find the cost of a baseball

Answers

The cost of the Baseball is $5.

Lets take football cost as "x"

And taking baseball cost as "y"

According to given conditions,

2y + 3x = 67

x= 3y + 4

Lets put the values of x in equation (1):

2y + 3 (3y+4) = 67

=> 2y + 9y + 12 = 67

=> 11y = 55

y = 5

x = 3(5) + 4

x = 19

Hence the cost of the Baseball is $5.

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Solve for x sim b (10, 0.75) for x = 5

Answers

The value of [tex]x \sim B (10, 0.75)[/tex] for x = 5 is 0.06

How to solve the probability?

The expression is given as:

[tex]x \sim B (10, 0.75)[/tex]

This means that:

n = 10

p = 0.75

The probability is then calculated as

[tex]P(x)= ^nC_x * p^x *(1 - p)^{n-x[/tex]

This gives

[tex]P(5)= ^{10}C_5 * 0.75^5 *(1 - 0.75)^5[/tex]

Evaluate the combination expression

[tex]P(5)= 252 * 0.75^5 *0.25^5[/tex]

Evaluate

P(5)= 0.06

Hence, the value of [tex]x \sim B (10, 0.75)[/tex] for x = 5 is 0.06

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Find three consecutive integers such as two times the first integer, plus three times the second integer, minus the third integer, is equal to 21.

Answers

The three consecutive integers are 5, 6, and 7.

What are consecutive integers?

Whole numbers that follow one another without a gap are known as consecutive integers. A few examples of consecutive integers are 15, 16, and 17, 1,2 and 3, and so on.

Finding the Consecutive Integers

Let the three consecutive integers be a, a + 1, and a + 2.

These three consecutive integers are to be such that two times the first integer when added to three times the second integer minus the third integer, it is equal to 21.

⇒ 2a + 3(a+1) - (a+2) = 21

2a + 3a + 3 - a -2 = 21

5a - a + 3 - 2 = 21

4a + 1 = 21

4a = 20

a = 20/4

a = 5

∴ a+1 = 5+1

a+1 = 6

And, a+2 = 5 + 2

a +2 =7

Hence, the three consecutive integers come out to be 5, 6, and 7

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What type of triange is this?

Answers

Answer: Right isosceles triangle

Step-by-step explanation: This is fairly easy to determine.

Side BC is roughly congruent to side CD. Both sides start from 0 to 7 and a little bit.

Side AC is also congruent by the reflexive property and is also congruent to both triangles' sides because it lines up perfectly. Since both sides BC and CD are congruent, the segment AC likely is perpendicular to segment BD and cuts it into 2 equal and congruent sides.

Sides AB and AD cannot be determined to be congruent.

Since the right angles are between two congruent sides of two triangles, the two triangles are congruent by the Side Angle Side congruence theorem.

Thus, we can say these are 2 right isosceles triangles conjoined together. Hope this helped!

(Proof is attached.)

Determine the unknown length or angle measurement. Round each answer to the nearest whole number.

Answers

The unknown sides and angles of the triangle are 18 cm and 39 degrees respectively.

How to find the side and angle of a triangle?

The side and angle of a triangle can be found as follows:

using sine law,

Angle A = 180 - 68 - 59 = 53 degrees

19.5 / sin 59 = a / sin 53

19.5 sin 53 = a sin 59

a = 19.5 sin 53 / sin 59

a = 15.5733924459 / 0.8571673007

a = 18.1680280047

a = 18 cm

15 / sin ∅ = 20 / sin 57

15 sin 57 = 20 sin ∅

sin ∅ = 12.5800585192 / 20

sin ∅= 0.62900292595

∅ = sin ⁻¹ 0.62900292595

∅ = 38.9763828249

∅ = 39 degrees.

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T/F : zooplankton can remain small or mature to nekton and benthos. calculate the number of vibrational normal modes in methanol, ch3oh. A microscope with a tube length of 180 mm achieves a total magnification of 400 with a 40 objective and a 10 eyepiece. The microscope is focused for viewing with a relaxed eye.How far is the sample from the objective lens? a pilot of any proposed solution should be seriously considered when: the national electric code specifies a maximum current of 10 a in 16- gauge (0.129 cm diameter) copper wire. what is the corresponding current density? Which of the following systems have a microscopic property of matter that allows an external magnetic field to cause observable, macroscopic effects on them? Select two we AA plasma, which is classified as a very hot gas of randomly moving positively and negatively charged particles A block of wood, which is composed of particles that are spaced such that the block is classified as having a large density A pile of iron filings, which are composed of particles such that the iron filings are classified as metal D A container of water, which is composed of particles that are arranged such that the form of matter is classified as a fuld let z and w be complex numbers with |z| = 9 and |w| = 6. use this information in parts (a)-(c). a series of short plays depicting religious history from creation through doomsday Explain how the Appalachian mountains were formed and how they have become so much smaller over time?Please Determine the ph of a 1.82 m naf solution. the ka of hf is 6.710^-4. If an enzyme could not breakdown hydrogen peroxide in acell, the levels would become -?and result in cell death.More basic Too dilutedToo toxicNon-nutritive An ideal gas has molar specific heat Cp at constant pressure. When the temperature of n moles is increased by NT the increase in the internal energy is: Select one:a. nC deltaTb. n(C+R) delta Tc. n(C-R) delta T Activity 1: UNITS OF MEASUREMENTI. Identify the quantity described by the following units of measurement. Copy and write your answer on one whole sheet of paper. 1. meter per second = _________ 11. joule = ____________2. meter = _________ 12. Kilogram = ____________ 3. second = _________ 13. Cubic meter = _________4. meter per second squared = ____ 14. Mole = ____________5. square meter = _________ 15. Kilogram per cubic meter=6. mass = _________ 16. Watt = ____________ 7. newton = _________ 17. Ampere = ____________8. kelvin = _________ 18. Hertz = ____________9. volt = _________ 19. Coulomb = ____________10. candela = __________ 20. Pascal = ____________ what might one expect to see in a graph depicting realized niche space in a community? You are tasked by an automotive manufacturer to select a radiator (both fluids unmixed crossflow) used for lowering the temperature of cooling water after it exits the car's engine. At low speeds, a fan forces atmospheric air over the radiator to ensure that the temperature of the coolant (water) drops by 15 C. The front bumper has already been designed, and has an intake with a surface area of 0.25m'. Find the velocity at which the fan can shut off and the coolant can be cooled by the airflow alone. (HINT: Use iteration to ensure that C, converges) Thi = 200 C (water) Tci = 25 C (air) NTU = 4.0 Cr= 0.3 (first guess) water = 4 kg/s 7 in.12 in.6 in.What is the surface area of this rectangular prism? an airplant leaves new york to fly to los angeles. it travels 3850 km in 5.5 hours. what is the average speed if the airplane remarriage rates are lower today than they were in the 1960s because which shapes could but do not always have perpendicular lines. This scatter plot shows the relationship between the average study time and the quiz grade. The line ofbest fit is shown on the graph.Need Help ASAP! Explain how you got it please