evaluate [tex]5\sqrt{75} - 3\sqrt{48} +2\sqrt{27\\}[/tex]

Answers

Answer 1

Answer:

[tex]19\sqrt{3}[/tex]

Step-by-step explanation:

Simple math. You could extrapolate the square roots and simplify the coefficients to easily subtract numbers with the same roots.


Related Questions

Isabel is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges $90 and allows unlimited mileage. company b has an initial fee of $75 and charges an additional $0.60 for every mile driven. for what mileages will company a charge less than company b? use m for the number of miles driven, and solve your inequality for m .

Answers

Company A charges $90 for unlimited mileages, while company B charges $75 initial fee and #0.6 per mile driven. Company A will  charge less than company B if the number of miles driven is greater than 25 miles or m > 25.

To solve the problem, we need to translate the word problem into equations.

Let C(A) and C(B) represent the cost charged by company A and B respectively. Let m = the number of mileages.

Company A charges $90 and allows unlimited mileage, it means the charge is a constant and it is not a function of mileage.

Hence,

C(A) = 90

Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. Hence,

C(B) = 75 + 0.6 m

The inequality that translate: for what mileages will company A charge less than company B is:

C(A) < C(B)

90 < 75 + 0.6 m

To solve the above inequality, subtract 75 from both sides:

90 - 75 < 75 + 0.6 m - 75

15 < 0.6 m

m > 15/0.6

m > 25

Hence, if the mileages > 25 miles, company A charges less than company B.

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Is Fergie or Francesca correct?

Answers

Answer:

Francesca

Step-by-step explanation:

What are the different ways on writing proof

Answers

Answer:

There are several ways to write a proof, depending on the level of rigor and formality required. Some common methods include:

1- Direct proof: A direct proof is a logical argument that begins with the premises and uses logical deduction to arrive at the conclusion.

2- Proof by contradiction: A proof by contradiction starts by assuming the opposite of what needs to be proven and then showing that this leads to a contradiction.

3- Proof by contrapositive: A proof by contrapositive is a proof that starts by assuming the negation of the desired conclusion and then showing that this leads to the negation of the premises.

4- Proof by induction: A proof by induction is a proof that starts by showing that a statement is true for the first few natural numbers, and then showing that if it is true for a particular natural number, it must also be true for the next natural number.

5- Proof by construction: A proof by construction is a proof that shows the existence of a mathematical object by giving an explicit construction of it.

6- Proof by exhaustion: A proof by exhaustion is a proof that considers all possible cases and shows that in each case the statement is true.

7- Proof by casework: A proof by casework is a proof that is split into several cases, each of which is considered separately.

8- Proof by diagram: A proof by diagram is a proof that uses a visual representation to show that a statement is true.

These are some of the common ways of writing proof, and there could be other ways as well. It is important to use the most appropriate method for the problem at hand, and to clearly explain and justify each step of the proof.

Can a 3rd degree polynomial have all real roots?

Answers

The 3rd-degree polynomial has at least one or three real roots.

Yes, a third degree polynomial can have all real roots. This is because a third degree polynomial has at least one real root, as it is the lowest degree polynomial that can have an imaginary root. The other two roots can be real or imaginary, depending on the coefficients of the polynomial. If the discriminant of the polynomial is greater than or equal to zero, the polynomial will have all real roots. In a cubic polynomial, only one or three real roots are present. Polynomials having odd degrees have at least one real root. A cubic equation's graph must at least once cross the x-axis, giving you at least one real root. Only a quadratic polynomial has two real roots. Quadratic polynomials are those having a degree of two. Polynomials can be represented on the graph, on that basis we can determine whether the roots are real or not.

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PLEASE HELP ME SUBJECT MATH

Answers

Answer:

11)  y = -x + 9

12) y = 4x - 16

13) y = x - 5

14) y = -2x + 4

15)y =  0.5x - 3

Step-by-step explanation:

In all these equations isolate y by moving the other terms to the left side and dividing by the coefficient of x to get the slope intercept form

11)

x + y = 9

y = -x + 9 by moving x to the right side

12)
4x - y = 16

-y = -4x + 16

Multiply by -1 to get y = 4x - 16

13)

2x - 2y = 10

-2y = -2x + 10

Divide by -2 to get y = x - 5

14)

4x + 2y = 8

2y = -4x + 8

Divide by 2 to get y = -2x + 4

15)
x - 2y = 6

-2y = -x + 6

Divide by -2 to get y = x/2 - 6 = 0.5x -3


Look at the line graphed below.


Which equation can be used to graph all the points on the line?


=
2

y=2x


=

+
1
y=x+1


=


1
y=x−1


=
2


1
y=2x−1

Answers

Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 9) ← 2 points on the line

m = [tex]\frac{9-2}{8-1}[/tex] = [tex]\frac{7}{7}[/tex] = 1

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = x + 1 ← equation of line

Ditribute to create an equivalent expreion with the fewet ymbol poible. 1/3(3j6)

Answers

To find the equivalent expression with the fewest symbols possible for 1/3(3j6),One third of three times the value of six, which is equal to one times the value of two.

1/3(3j6)

= 1/3(3*6)

= 1/3(18)

= 18/3

= 6

= 1j2

To find the equivalent expression with the fewest symbols possible for 1/3(3j6), we need to start by multiplying 3 and 6 together. This gives us the result of 18. Next, we divide 18 by 3, which gives us the result of 6. Finally, we express the result as 1j2, which is the equivalent of 1/3(3j6) with the fewest possible symbols. By following these steps, we can easily calculate the equivalent expression with the fewest symbols. In this case, it is 1j2. The process of calculating the equivalent expression with the fewest symbols is relatively straightforward, but it is important to remember to use the correct order of operations when performing calculations. To ensure accuracy, it is best to work step by step, multiplying 3 and 6 together first and then dividing 18 by 3 to get the final result of 1j2.

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nate has a grid made of shaded and unshaded 2 cm by 2 cm squares, as shown. he randomly places a circle with a diameter of 3 cm on the board so that the centre of the circle is at the meeting point of four squares. the probability that he places the disk so that it is touching an equal number of shaded and unshaded squares is ab. what is a b ?

Answers

The value of a and b is 1.

THE PROBABILITY OF A AND B

The probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.

To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).

Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.

So the denominator of the probability fraction is 8.

Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.

As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.

So, the numerator of the probability fraction is 8.

Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.

So the value of a and b is 1.

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Find the value of Zα.
Z0.07=

Answers

We may calculate the corresponding value of z = 1.476 using a conventional normal right-tailed z-table.

What is the location of the Z value table?

Find the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table (e.g. whole number and the first digit after the decimal point). It is 1.0 in this instance. We then look up the last number, which in our example is 0.09, from across table (on top).

Why does Z appear in the Z-table?

The amount of standard deviations a scoring or value (x) is from the mean is the number of Z scores (Z value). Z-score quantifies data dispersion in other terms. Z-score, informally, indicates however many standard deviations a number (x) is below or above population mean (µ).

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a $129 product is marked up 20%. how much is the markup?

Answers

Answer:

$25.80

Step-by-step explanation:

Since we need to mark up the price of something, we need to find what 20% of 129 is, then add it to 129. To find our 20%, we put 129 in a fraction like this and get:

[tex]\frac{129}{5} = 25.8[/tex]

So, the markup is $25.80.

Hope this helped!

What are the possible values of g such that fg2 = 32, f < 20, g < 20, and f and g are integers? –2, 2 –4, 4 –1, 1, –2, 2 –1, 1, –4, 4 –2, 2, –4, 4

Answers

The possible values for f and g are -2, 2, -4, 4, -1, 1.

What is inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

If fg^2 = 32, then either fg = ±4, ±2, or ±1. If f < 20 and g < 20, then the possible values for f and g are:

f = 2, g = 4

f = 4, g = 2

f = 1, g = 4

f = 4, g = 1

f = 2, g = 2

f = 1, g = 1

Hence, the possible values for f and g are -2, 2, -4, 4, -1, 1.

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The question is in the picture​

Answers

The value of x from the triangle is x = 30

What is the law of sines?

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ABC

Now , the length of the side b = x

The length of the side a = x + 2

The measure of sin A = 4/5

The measure of sin B = 3/4

So , to find the value of x , we use the law of sines

a / sin A = b / sin B

Substituting the values in the equation , we get

( x + 2 ) / ( 4/5 ) = x / ( 3/4 )

On simplifying the equation , we get

5 ( x + 2 ) / 4 = 4x / 3

Multiply by 3 on both sides of the equation , we get

15 ( x + 2 ) / 4 = 4x

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

15 ( x + 2 ) = 16x

15x + 30 = 16x

Subtracting 15x on both sides of the equation , we get

x = 30

Therefore , the value of x is 30

Hence , the value of x is 30

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a company that manufactures video cameras produces a basic model and a deluxe model. over the past year, 42% of the cameras sold have been of the basic model. of those buying the basic model, 44% purchase an extended warranty, whereas 49% of all deluxe purchasers do so. if you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model? (round your answer to four decimal places.)

Answers

If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

By employing the criteria that certain events have occurred, the Bayes Theorem allows us to determine the posterior probability. 

Given that,

E: Purchaser has extended Warranty.

A: He chooses a basic model.

B: He chooses a deluxe model.

P(A) = 0.42

P(B) = 0.58

P(E/A) = 0.44

P(E/B) = 0.49

The probability that a randomly selected customer has an extended warranty is given by:

P(E)= P(E/A)*P(A)+P(E/B)*P(B) = 0.44*0.42 + 0.49*0.58= 0.469

If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is given by:

P(A/E)= P(E/A)*P(A)/P(E) = 0.44*0.42/0.469 = 0.3940

Thus, If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

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Joshua is driving to the store. the average distance din miles, he travels over minutes is given by the function (1) - 0.57. what is the
75 miles
7.5 minutes
7.5 miles
15 minutes

Answers

Driving to the supermarket is Joshua. He covers 7.5 miles since he goes an average of 0.56 miles per minute.

Why is mean called the average?

By dividing the entire specific number by sum of all the values, the average can be obtained. A mean may indeed be calculated by adding all of the values in a sample of data. In other terms, a means is also known as the arithmetic mean. The average is referred to as having a mean.

The provided function is

d(t) = 0.5t

Simply substitute it to get the figure set t = 15

7.5 miles are equal to d (15) 0.5 (15).

To get the distance, use the range equations d = st, which says "distance equals force times time." Rate and speed are equivalent because they both indicate a specific length of distance per unit time, such like km/h or kilometers per hour. R = s = d/t is true if clip r and mobility s are equal.

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imagine i flip 100 coins in a sequence, and you need to guess the sequence. you are allowed to ask one yes/no question. what do you ask to maximize the probability of guessing the sequence?

Answers

On solving the provided question, we can say that the probability of guessing the sequence 2^99 possible combinations.

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

As soon as you realize there are more heads than tails, you realize you require at least 50 of them, and you ask 100 people to select 50 locations for them to go.

Considering that you have 250 options for the remaining coins, there are a total of (100 pick 50) + 250 combinations that are feasible.

There are 299 potential options if you simply inquire as to whether the first coin will land on heads.

Asking whether there are more heads than tails is preferable because, according to Wolfram Alpha, 299 is larger than (100 pick 50) + 250.

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helppp i need to finish my study guide but I don't get thissss

Answers

The trigonometrical ratios of the triangle are:

sin∠X = x/z

cos∠X = y/z

tan∠X = x/y

sin∠Y = y/z

cos∠Y = x/z

tan∠Y = y/x

How to find sin∠X in the triangle?

We will use trigonometrical ratios to solve this problem. Below are the definitions of the trigonometrical ratios:

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent or tan = sin/cos

The opposite is the side the angle of consideration is facing

The hypotenuse is the side the right angle  is facing

The adjacent is the side left after determining the opposite and hypotenuse

Thus, we have the following trigonometric ratios in the triangle:

sin∠X = x/z

cos∠X = y/z

tan∠X = x/y

sin∠Y = y/z

cos∠Y = x/z

tan∠Y = y/x

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A landscaping company placed two orders with a nursery. The first order was for 7
bushes and 4 trees, and totaled $226. The second order was for 6 bushes and 2 trees,
and totaled $148. The bills do not list the per-item price. What were the costs of one
bush and one tree?

Answers

Naturally, the task did not require the values of the two variables.Each tree costs $47 and each bush is $23.

How much did one tree and one bush cost?

Although I don't have subtotals for the bushes and trees, I could try to add the bushes and trees to get 19 bushes and 6 trees, but this wouldn't help me at all.

So I'll choose two variables ("b" for the quantity of bushes and "t" for the quantity of trees) and construct an equational structure:

13b + 4t = 487 is the first order.

second order: 6b plus 2t equals 232.

When I divide the second row by -2, I obtain:

13b + 4t = 487

-12b – 4t = –464

Therefore, b must equal 23.

Using back-solving, I discover that t = 47.

Naturally, the task did not require the values of the two variables.

The answer, when translated back into English, is:

Each tree costs $47 and each bush is $23.

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the sum of bill and ted's age is 60. in two years, bill will be three times as old as ted. how old are bill and ted now?

Answers

That bill age is currently 46 years old, and the ted age is currently 14 years old, according the provided statement.

You ancient soul, how are you?

Frequently, having an ancient soul only means you see things differently. There is nothing improper about that. In fact, most individuals would contend that having a distinct outlook on life may be advantageous to both you and those in your life. Depending on how you do it with your understanding, the wider world may be a possibility.

Equations:

B+2 = 3(t+2), B+t = 60, B-t = 4, and B+t = 60

Solve for "t" by subtracting: 4t = 56 t Equals 14 (Ted's current age).

Calculate "b" as follows: b + t = 60 b + 14 = 60 b Equals 46 (Bill's current age).

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Show all work to identify the asymptotes and state the end behavior of the function f of x is equal to 4x divided by the quantity of x minus 16 end quantity.

Answers

Answer:

Step-by-step explanation:

The function f(x) = 4x/(x-16) has two vertical asymptotes at x = 16. This can be seen by taking the limit of the function as x approaches 16 from the left and right sides.

On the left side, as x approaches 16 from the left, the denominator, (x-16), will approach 0, while the numerator, 4x, will approach -∞. This results in a limit of -∞, indicating a vertical asymptote at x = 16.

On the right side, as x approaches 16 from the right, the denominator, (x-16), will approach 0, while the numerator, 4x, will approach +∞. This results in a limit of +∞, also indicating a vertical asymptote at x = 16.

The end behavior of the function is that as x approaches +∞, the function will approach +∞, and as x approaches -∞, the function will approach -∞.

Write the equation of this line in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

The line passes through points (2,1) and (0,-5)

Using this, we can find the slope, which is

change in y/change in x = -6/-2 = 3

Therefore the slop of this line is 3.

Next, the y-intercept of this line is -5.

So we can find the equation of this line in slope-intercept form which is:

y=3x-5

The vertices of triangle FGH has vertices F(-3, 0), G(6, -1) and H (5, -3). Name the vertices of the image reflected across the line y = x.

a. F' (0, -3), G' (-1, 6), H' (-3,5)
b. F' (3, 0), G' (-6, -1), H' (-5, -3)
c. F' (-3, 0), G' (6, 1), H' (5, 3)
d. F' (0, 3), G' (-1, -6), H' (-3, -5)

Answers

Answer:

b. F' (3, 0), G' (-6, -1), H' (-5, -3)

A plastic container has 264 yellow marbles. The rest of the marbles are blue. The number of yellow marbles is 60% of the total number of marbles. How many total marbles are blue?

Answers

Answer: 176 BLUE marbles

Explanation:

First --> Total marbles ==> 264 / 0.60 = 440

Second --> Hence, the total number of BLUE marbles is 440 - 264 = 176

and there is 176 BLUE marbles

Answer:

660

Step-by-step explanation:

first, 264 yellow marbles.

the percentage of yellow is 60.

If total percentage is 100 then, blue is 100-(yellow percentage)

that is: 40 percent

the next sentence.

total marbles of blue is:

40x/100 = 264.

0.4x = 264.

divide both sides by 0.4

x = 264/0.4

x= 660.

a vacant lot measures 50' x 102'. if the lot sold for $108,250, what was the price per square foot...?

Answers

The price per square foot of a vacant lot that measures 50' x 102' and sold for $108,250 is $21.23.

To find the price per square foot of the vacant lot, we need to divide the total price by the total area of the lot.

We can find the area of the lot by multiplying the length by the width:

Area = 50' x 102' = 5100 sq.ft

Then, we can divide the total price by the total area to find the price per square foot:

Price per sq.ft = Total Price / Total Area

Price per sq.ft = 108,250 / 5100

Price per sq.ft = 21.23

Therefore, the price per square foot of the vacant lot is $21.23.

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Which of the following graphs does NOT describe y as a function of x?

Answers

Answer:

the first one

Step-by-step explanation:

using the vertical line rule, we can see that a vertical line would intersect the first graph more than once at any point to the right of the vertex. this cannot be said for the other graphs

If sally had 5,000,000 toys box to send to kids each box had 8 toys. How many box are there in total?

Answers

Answer:

The total boxes would be 625,000

Step-by-step explanation:

5,000,000÷8=625,00

If you have 5,000,000 toys and each box holds 8 toys, you need to divide the number of toys that will fit into a box from the total number of toys

One rule of thumb for estimating crowds is that each person occupies 2.5 square feet.
use this rule to estimate the size of a crowd attending a local concert that is 110ft deep
and 50ft wide.

Answers

I estimate 2,000 people will be in that space
Sorry if wrong

a sequence of complex numbers , , , satisfies the rulesuppose that and . how many possible values are there for ?

Answers

Four complex numbers are present. fulfilling the following equations of a sequence of complex numbers is √3, - √3, √15 i, - √15 i .

what is sequence ?

A sequence is an arrangement of numbers, or "terms." Terms like 2, 5, and 8 are examples. By taking advantage of a specific pattern some sequences use, they can be made to go on forever. To continue the sequence, add 3 and use the example of 2,5,8. In a succession of words, there exist formulas that show where to look. In mathematics, a sequence is a collection of items that are arranged in some manner (or events). Because it has parts, it is similar to a set (also called elements or terms). The length of the sequence is defined as the total, possibly unlimited number of ordered objects. arranging two or more elements in a sensible sequence. Chronological.

given

Complex conjugation refers to the real line's reflection of the complex plane. Z or z can be used to represent the complex conjugate of z. Similar real and imaginary parts exist in the complex conjugate, but with the opposite sign on the imaginary portion.

This means that z=a+ib follows from z=a+ib.

Four complex numbers are present. fulfilling the following equations of a sequence of complex numbers is √3, - √3, √15 i, - √15 i .

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You start at(-4, 3). You move right 5 units and down 8 units. Where do you end?

Answers

(1,-5) you add 5 to -4 and subtract 8 from 3

Factor out the greatest common factor ?

Answers

To factor out the greatest common factor you need 2 numbers
To recognize a greatest common factor, find a greatest common factor for the numbers in the expression and then consider each variable or expression separately. ...

To factor out a GCF, write the GCF outside the parentheses and divide each one of the terms by the GCF in the parentheses


find the percentage error if 3,750 is used as an approximation to 3,754.
give the answer rounded to four decimal places.
a.1066 %
b. -0.1066 %
c.0011 %
d. 0.1067 %

Answers

The percentage error if 3,750 is used as an approximation to 3,754 as calculated is found out to be as , 0.1066%.

We calculate the percentage of  error as ,

| Vobs – Vtrue |/ Vtrue× 100%

Therefore the percentage error in this case will be ,

= 3754 - 3750/3750

= 4/3750

=0.1066%

Therefore, the required POE is found out to be as , 0.1066%.

Percent error tells us about the  magnitude of our errors while measuring anything , this concept is used in approximation. Lower percentage errors suggest that we are getting close to the original number. A 1% inaccuracy, for example, implies that we were extremely close to the approved number, whereas a 48% error indicates that we were rather far from the genuine value.

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on october 20 of the current year, grimm co. consigned 40 freezers to holden co. for sale at $1,000 each and paid $800 in transportation costs. on december 30, holden reported the sale of 10 freezers and remitted $8,500. the remittance was net of the agreed 15% commission. what amount should grimm recognize as consignment sales revenue for the current year? the owner of a store that sells custom kitchen cabinets wishes to use a target return-on-sales pricing approach to establish a price for a typical section of cabinets. assume that variable costs total $200 per unit, fixed cost is $44,000, and the storeowner desires a target profit of 20 percent return on sales at an annual volume of 400 cabinets. what price should be charged for a typical cabinet section? Lena and Ivan each ran every day as part of an exercise routine. Lena ran 3 miles each day for x days. Ivan ran 4 miles each day for y days.The total number of miles that Lena ran is at least the total number of miles that Ivan ran. Write an inequality describing this relationship. Really please help me out instead of getting the points I added a picture below which compact sets does there exist a number m such taht every open cover contains a finite subcover of m elemens Read this sentence from roosevelt's speech "the new nationalism". "it demands of the judiciary that it shall be interested primarily in human welfare rather than in property, just as it demands that the representative body shall represent all the people rather than any one class or section of the people." which illustration would best represent the main idea expressed in the quotation? a tariff has the effect of: a. raising the price of the imported product. b. increasing the demand for the imported product. c. increasing the supply of the imported product. d. increasing the demand for the exported product. which of the following properties can be inferred from the stars orbital period?0 the planet's orbital radius 0 the planet's mass 0 both the planet's orbital radius and its mass 0 neither the planet's orbital radius nor its mass A cup of coffee is considered a _______.A) precipitateB) soluteC) solutionD) solvent 1. contrast leadership for quality and lean six sigma as quality initiatives for xerox. how did their motivations differ? what differences or similarities are evident in the principles behind these initiatives and the way in which they were implemented? Consider the flask diagramed below with the following pressures 492 torr H2 and 0.376 atm for N2. What are the final partial pressures of H2 and N2 after the stopcock between the 2 flask is opened? (Assume the final volume is 3.00L). What is the total pressure in torr? after a subtotal gastrectomy for cancer of the stomach, a client develops dumping syndrome. the client asks the nurse, 'what does that mean? how would the nurse explain- dumping syndrome? How does someone become a carrier for sickle cell anemia The density of titanium is 4.54 g/mL. The water level in a graduated cylinder initially at 25.0 mL rises to 31.0 mL after a piece of titanium is submerged. What is the mass, in grams, of the titanium? Kenton compared gas mileage for three cars.Car A450 miles for 15 gallonsCar B651 miles for 21 gallonsCar C598 miles for 23 gallonsWhich car has the best rate of miles per gallon? Car A has the best rate at 30 miles per gallon. Car B has the best rate at 31 miles per gallon. Car C has the best rate at 26 miles per gallon. All three cars had the same rate of miles per gallon. An astronaut is doing a spacewalk on a long tether from the International Space Station (mass of 420,000 kg). His spacesuit includes a very sensitive gravitometer, which indicates the gravitational force acting on the astronaut and his spacesuit from the ISS is 7.0 E7 N. If the mass of the astronaut in his suit is 250 kg, how far away from the ISS is the astronaut if G = 6.67 E11 N*m2/kg2?A. 0.100 kmB. 0.200 kmC. 0.500 kmD. 1 km a child is stung by a bee and now fears all flying insects. this best illustrates: group of answer choices a) stimulus generalization b) secondary reinforcement c) shaping d) spontaneous recovery. you have a meeting with your employees about the sources of emotions and moods. the staff is interested and engaged. they agree that the moods have taken a downturn since the summer season and are interested in emotion regulation techniques. what are the correct and topics to talk to them about? what are the incorrect topics to topic about. with what tension must a rope with length 3.00 m and mass 0.145 kg be stretched for transverse waves of frequency 45.0 hz to have a wavelength of 0.770 m ? express your anwer in newtons.