100 POINTS HELPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEE

100 POINTS HELPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer 1

Answer: 1.24

Step-by-step explanation:

40% abundance to decimal = 0.4

0.4 multiplied by 3.1 = 1.24

Answer 2

Answer:

1218

Step-by-step explanation:

because when you get to know that it will give you the answer


Related Questions

Everything step by step

Answers

The number of touchdowns scored by the defense of the professional football team in the season was C. 10 touchdowns.

How to find the number of touchdowns ?

The team scored a total of 242 points, and the defense scored about 24% of those points, which is:

0.24 x 242 = 58.08

This means that the defense scored approximately 58 points during the season. If a touchdown is worth 6 points, we can find the number of touchdowns scored by the defense by dividing the total number of points scored by 6:

58 / 6 = 9.67

So the defense scored approximately 9.67 touchdowns during the season. Since we can't have a fraction of a touchdown, the closest whole number answer would be 10 touchdowns.

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Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.


Part 1
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.

For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
47
. These results suggest that the expressions
may be
equivalent, but
do not prove that
the expressions are equivalent.

Part 2 out of 2
Evaluate each expression for x = 3. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.

For x = 3, the first expression has a value of
, and the second expression has a value of
. Since these values are
(select)
, the expressions
(select)
equivalent.

Answers

Part 1:
For x = 4, the first expression evaluates to:
3(4)(4-2) + 2 = 26
For x = 5, the first expression evaluates to:
3(5)(5-2) + 2 = 47
For x = 4, the second expression evaluates to:
2(4)^2 + 3(4) - 18 = 18
For x = 5, the second expression evaluates to:
2(5)^2 + 3(5) - 18 = 37
Based on these results, we cannot definitively determine whether the two expressions are equivalent, although they may be.

Part 2:
For x = 3, the first expression evaluates to:
3(3)(3-2) + 2 = 11
For x = 3, the second expression evaluates to:
2(3)^2 + 3(3) - 18 = 9
Since these values are not equal, we can conclude that the expressions are not equivalent.

How much would 17 computers, 18printers, 5DVDs, and 30 cd’s cost ?

Answers

The cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.

What is cost?

Cost is the amount of money or resources that must be exchanged for goods, services, or activities. It is typically associated with the purchase of goods and services and related to production, labor, and other expenses. Cost is a crucial factor in business operations, as it affects both the budget and the profitability of any venture. In addition to monetary costs, businesses may also incur opportunity costs, which are the costs associated with foregoing alternative investments or activities.

The cost of 17 computers, 18 printers, 5 DVDs, and 30 CDs would depend heavily on the type, brand, and quality of the items being purchased. However, an estimate of the cost of these items can be made.

Computers can range from $200 to $2,000, depending on the type and specs. An average cost for 17 computers would be around $10,000. Printers can range from $50 to $500, depending on the type and specs. An average cost for 18 printers would be around $2,000. DVDs can range from $2 to $25, depending on the type and specs. An average cost for 5 DVDs would be around $50. CDs can range from $1 to $10, depending on the type and specs. An average cost for 30 CDs would be around $75.

In total, the cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.

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What is the total price of the 50-inch Panasonic Plasma TV?

Answers

The total price of the 50-inch Panasonic Plasma TV is $687.44.

What is tax?

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Given that, 50-65 inch TV's $150 rebate and delivery charge is $35.

50 inch Panasonic Plasma TV costs $734.95

Rebate is $150

So, cost of TV is 734.95-150

= 584.95

Cost of TV including delivery charge

= 584.95-35

= 549.95

Here, tax is 25%

So, cost of TV including tax

= 549.95+25% of 549.95

= 549.95+25/100 ×549.95

= 549.95+0.25×549.95

= 687.4375

Therefore, the total price of the 50-inch Panasonic Plasma TV is $687.44.

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The quadrants go in counter-clockwise position.
O True
O False

Answers

Answer:true

Step-by-step explanation:

true x
bc it’s is true xx

Using a protractor and a ruler draw a triangle with a side length of 4 inches that is between angles of 50 and 65

Answers

Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

What are triangles?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.

Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.

First, let us mark the 50° angle.

Draw a straight line of 4 inches using the ruler as the base.

Keep the protractor on top at one of the ends of the line.

Mark the 50° angle.

Draw a straight line passing through the marked point using the ruler.

Now move the protractor to the other end of the line.

Mark the angle 65°.

Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.

This is a triangle with angles of 50 and 65 degrees.

Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

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A researcher watches popular television shows and records every time someone interrupts a speaker. She wants to understand the frequency of interruption on television.

Answers

Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

What is noise?

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

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Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

a highway has at least one rest stop every 25 miles. Write solve and graph an inequality to represent the number of rest stops in the first 200 miles of the highway.

Answers

In a linear equation, The number of rest stops in the first 200 miles would be 8 or more.  

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

25x > 200

25       25

x > 8

The number of rest stops in the first 200 miles would be 8 or more.  

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What is the solution to the system of linear equations shown below?

A. (3, 1)

B. (3, 0)

C. (-1, 4)

D. (1, 3)

Answers

The answer is D. (1,3)

Explaining: the system of equation would be were the two lines meet which would be (x,y) x-1 3-1 so the pair is (1,3) !!

Answer:

D. (1, 3)

Step-by-step explanation:

The solution is the coordinates of the intersection of the 2 lines

Use the graph to answer the question. Graph of polygon ABCD with vertices at 1 comma negative 1, 3 comma negative 5, 7 comma negative 5, 5 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 1 comma negative 6, 3 comma negative 10, 7 comma negative 10, 5 comma negative 6. Determine the translation used to create the image. 5 units down 5 units up 1 unit down 1 unit up

Answers

The image was created by translating 5 units down, 5 units up, 1 unit down, and 1 unit up. ABCD and A'B'C'D' are two polygons on the graph.

The first polygon, ABCD, has vertices at (1,-1), (3,-5), (7,-5), and (8,-5). (5,-1). The vertices of the second polygon, A'B'C'D', are located at (1,-6), (3,-10), (7,-10), and (8,-10). (5,-6).

What exactly are vertices?

Vertices are points in a geometric figure that define its shape. A vertex is defined mathematically as the intersection of two or more lines, edges, or curves.

We can compare the coordinates of the two polygons to determine the translation that was used to create the image. The first coordinate of the two polygons is (1,-1) and the second coordinate is (1,-1). (1,-6). The y-coordinate difference is 5 units, so the translation is 5 units down. The two polygons' second coordinate is (3,-5) and (3,-10). The y-coordinate difference is 5 units, so the translation is 5 units down.

The second polygon's third coordinate is (7,-5) and (7,-10). The y-coordinate difference is 5 units, so the translation is 5 units down. (5,-1) is the fourth coordinate of both polygons (5,-6). The y-coordinate difference is 5 units, so the translation is 5 units down.

The image was translated 5 units down, 5 units up, 1 unit down, and 1 unit up.

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What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?



Answers

Answer:

Step-by-step explanation:

90 degrees is the answer because there is no movement

ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS! PLEASE HELP DUE SOON​

Answers

The analysis of the number of runners, can be presented as follows;

a. The sequence is a geometric sequence

b. r(3) = 72, which indicates that the number of runners after the third week is 72

c. r(6)/r(5) = (2/3)

d. The recursive rule for r(w) is that the number of  runners in a week is (2/3) × The number of passengers in the previous week

What is a sequence?

A sequence is an ordered list of items.

The number of passengers currently in the  running club = 243

The amount by which the  number reduces each week =  2/3 the number in the previous week.

a. Therefore, the number of passengers each week can be presented as follows;

First week = 243

Second week = (2/3)  × 243 =  162

Third week = (2/3)³ ×  243

Therefore, the number  of runners in the nth week is; an= (2/3)ⁿ × 243, which is a geometric sequence

b. The number of runners in the wth week, r(w) =  2/3)^w × 243,

Therefore; r(3)  = (2/3)³ × 243  = 72

The meaning of the value is that the number of runners in the third  week, r(3) =  72 runners

c. r(6))/(r(5)) can be obtained as follows;

r(6) = (2/3)^6 × 243

r(5) = (2/3)^5 × 243

r(6)/r(5) = ((2/3)^6 × 243)/( (2/3)^5 × 243) = (2/3)

d. The recursive formula can be obtained as follows;

The number of passengers in a specified week =  (2/3) × The number of passengers in the previous week

r(w + 1) = (2/3)^w  ×  243

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A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function h(t)= -4.9t^2+29.4t +1. How long does it take for the baseball to reach its maximum​ height? What is the maximum height obtained by the​ baseball?

Answers

In response to the given question, we have that The baseball takes 3 function seconds to reach its highest point as a result.

what is function?

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The formula for the height of the baseball is [tex]h(t) = -4.9t2 + 29.4t + 1.[/tex]

A = -4.9 and B = 29.4 in this instance. The vertex's x-coordinate is as follows:

[tex]x = -b/2a = -29.4/(2*(-4.9)) = 3[/tex]

We need to assess h(3) in order to determine the maximum height:

[tex]h(3) = -4.9(3)^2 + 29.4(3) + 1 = 44.1[/tex]

Hence, the baseball may reach a height of up to 44.1 metres.

The x-coordinate of the vertex, which we discovered to be 3, may be used to determine how long it takes the baseball to reach its maximum height. The baseball takes 3 seconds to reach its highest point as a result.

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If � p and � q vary inversely and � p is 18 when � q is 28, determine � q when � p is equal to 72.

Answers

Answer:

q = 7

Step-by-step explanation:

p and q vary inversely:

p = k/q

If p = 18, q = 28, find k:

18 = k/9k = 18*28 = 504

The equation is:

p = 504/q

When p = 72, q is:

18 = 504/qq = 504/72q = 7

Express the following expression as a function of an acute angle less than 45°:
cot (-859°)

Answers

cot (-859°) can be expressed as cot 41° an acute angle which is less than 45°

What is trigonometry?

Trigonometry is used in navigation directions. Estimate the direction you need to place your compass to get a straight line. With the help of a compass and navigation trigonometric functions, it's easy to find a place or find the distance to see the horizon. 

What is mathematical expression?

A  Mathematical Statement which contains numbers and variables.

Angle: The two straight lines meeting at the vertex(a common point)

According to the question:

cot (-859) can be expressed as:

cot (-859 + 360x2)= cot (-859 +720)= cot (139)= cot (180 -139)= cot 41°(or)cot(-859) = cot(-859 + 180°x5)= cot (859 +900)= cot (41)°

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first increase and then rework each by decreasing

a. 400 by 20%

b. 650 by 30%

c.820 by 45%

d. 150 by 2,5%

e. 300 by 5%

f. 420 by 2,5%

Answers

Answer:

a. 480       Then 384

b. 845       Then 591.5
c. 1,189      Then 653.95
d. 153.75   Then 149.90625
e. 315        Then 299.25

f. 430.5     Then 419.7375

You need 8 feet of copper pipe for a plumbing job. You have two options.


Option 1: Pipe for $1.50 per foot and a rebate offering $2.00 off the total


Option 2: Pipe for $1.75 per foot and a coupon offering $0.25 off each foot


You find a third company that offers pipe at $1.50 less than the total cost of the better deal between Option 1 and Option 2.

What does the third company charge for the 8 feet of copper pipe?

$8.50
$10
$10.50
$12
$12.25

Answers

The charge for the third company for the 8 feet of copper pipe as required to be determined is; $8.50.

What is the charge for the 8 feet of copper pipe from the third company?

As evident from the task content;

For the first company; Pipe for $1.50 per foot and a rebate offering $2.00 off the total.

Therefore, total charge is; 8(1.50) - 2 = $10.

For the second company; Pipe for $1.75 per foot and a coupon offering $0.25 off each foot.

Therefore, total charge is 8(1.75) - 8(0.25) = $12.

Hence, since the better deal is; $10.

Ultimately, the charge of the third company whose offer is; $1.50 less than the charge of the better deal is; 10 - 1.50 = $8.50.

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The nth term of a sequence is 3n + 1.
Work out the 5th term of this sequence.

Answers

Answer:

[tex]3[/tex]×[tex]5[/tex][tex]=15[/tex]

[tex]15+1=16[/tex]

PLEASE HELP WILL MARK BRAINLIEST!

1) when a certain polynomial is divided by x+3, the quotient is x^2-3x+5 and the remainder is 6. what is the polynomial?

2) when a certain polynomial is divided by x-2, the quotient is x^2+4x-7 and the remainder is -4. what is the polynomial?

Answers

(x^2-3x+5)(x+3)=x^3 -4x +15
now adding the remainder
x^3 - 4x +21
(x^2+4x-7)(x-2)
x^3+2x^2-15x+14
adding the remainder
x^3+2x^2-15x+10

brainliest would be apprwciated ;))

Find the cube root of these expression
³√5׳√5׳√5=​

Answers

We can simplify this expression by multiplying the cube roots together:

³√5 × ³√5 × ³√5 = ³√(5 × 5 × 5)

Simplifying the product inside the cube root, we get:

³√(125)

Therefore, the cube root of 5 × 5 × 5 is equal to:

³√5׳√5׳√5 = ³√125 = 5

I need help with part d!!

Answers

The probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

What is Probability?

The probability of an event is a number that indicates how likely the event is to occur.

It is expressed as a number in the range from 0 and 1 or it can be expressed using percentage notation, in the range from 0% to 100%

Given is that the probability of a randomely selected fertilized egg will take 21 days to hatch is 0.028.

We can write the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as -

P{E} = {0.028 + (1 - 0.028)}/2

P{E} =  1/2

P{E} = 0.5

Therefore, the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

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PLEASE HELP IM GOING TO FAIL

Answers

The correct statements regarding the translation are given as follows:

The measures of <ABC and <A'B'C' are equal.The orientation of <ABC and <A'B'C' are the same in the coordinate plane.

What are the effects of each type of transformation?

Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.

A translation changes only the position of the figure, keeping angle measures and orientation correct, hence the second and the third options are correct.

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A register has 5376 business cards to give out the register gives out an equal number of business cards in 48 days until there are no more business cards live how many business cards does the register give out each day a 111 business cards be 112 business cards C1 130 business cards D1 114 business cards you have to divide 48÷5376

Answers

Answer: 112 business cards

Step-by-step explanation:

    We will divide the number of business cards by the number of days cards were handed out to see how many cards were handed out per day.

5,376 cards / 48 days = 112 business cards

pls show work i’m struggling

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem states that: a^2+b^2=c^2.

Therefore 6^2+8^2= c^2

36+64= 100^2

Then square root that. The square root of 100 is 10.

The length of XY is 6. The length of XZ is 10. The difference is 4 units

Answer would be b. 4! Make sure to check put all the different right triangles! Khan academy has some good videos :) also my work below

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5 : 4. There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4: 5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?

Answers

We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

What is equation?

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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f(x)=−5x3−4x2+8x and g(x)=−4x2+8, find (f−g)(x) and (f−g)(−2).

Answers

Answer:

(f-g)(x) = -5x^3 + 8x - 8.

(f-g)(-2) = 16.

Step-by-step explanation:

To find (f-g)(x), we need to subtract g(x) from f(x) and simplify:

(f-g)(x) = f(x) - g(x)

= (-5x^3 - 4x^2 + 8x) - (-4x^2 + 8)

= -5x^3 - 4x^2 + 8x + 4x^2 - 8

= -5x^3 + 8x - 8

Therefore, (f-g)(x) = -5x^3 + 8x - 8.

To find (f-g)(-2), we substitute x = -2 into the expression we just found:

(f-g)(-2) = -5(-2)^3 + 8(-2) - 8

= -5(-8) - 16 - 8

= 40 - 24

= 16

Therefore, (f-g)(-2) = 16.

Can someone answer this just read the picture? Right answers only please!

Answers

The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

What is temperature?

Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.

Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

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Translate the sentence into an equation using n as the unknown number. Then solve the equation for n. Two times a number increased by 5 is 15. a. 2n(5) = 15 n = 1.5 c. 2n + 5 = 15 n = 20 b. 2n + 5=15 n = 5 d. n + 5 = 15 n = 10 Please select the best answer from the choices provided

Answers

2n+5=15 would be the correct answer

Explain why y−7x−5=2/6.

Answers

Answer:

the expression

y -7/x-5 = 1/3 or 2/6

Step-by-step explanation:

Cross multiplying both sides:

3(y-7) = x - 5

3y - 21 = x - 5

3y - x = 21 - 5

3y - x = 16

The simplified equation is 3y-x=16.

I need area of this irregular room

Answers

The area of the irregular room is  82.5 ft²

How to determine the area

It is important to note that the area of a triangle is represented with the formula

A = 1/2bh

Given that;

A is the area of the triangleb is the base of the triangleh is the height of the triangle

From the image shown, we have that;

Area of the figure = sum of the areas of the two triangle

This represented as;

Area = 1/2 × 14(6) + 1/2 × 9(9)

expand the brackets

Area = 1/2 (84) + 1/2(81)

divide the values

Area = 42 + 40. 5

Add the values

Area = 82.5 ft²

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Other Questions
2. Find eigenvalues and eigenvectors of a given matrix: a = [\begin{array}{ccc}2&2&-2\\1&3&-1\\-1&1&1\end{array}\right]Calculate A^8 and check that A^8 = T * ^8 *T^-1, where = diag{1, 2, 3} is diagonal matrix composed of eigenvalues i of matrix A and matrix T is matrix composed of corresponding eigenvectots of matrix A. to find P(-2) for P(x)=x^(4)+2x^(3)-2x-7 ent and the remainder for the associated division and the value of P(-2). Nicholson purchased a piece of equipment on for $60,000. The equipment has an estimated useful life of eight years or 50,000 units of production and an estimated salvage value of $6,000. The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation, is A glass fish tank is in the shape of a rectangular box with length 1.1 m, width 8 m, height 7 dm a Calculate the area of glass for the tank without lid B how many liters of water need to be filled to calculate the volume of water occupying 70 % volume of a tank 1 decimeter cubic meter is equal to 11 water *Help me please*this is 5th grade math Amanufacturer sells the restriction enzyme Kpl with an activity of 5units/uL. How many microliters would be needed for 1 unit of therestriction enzyme Kpnl?a)5b)2c)1d)0.75e)0.2 Show the changes for each scenario on a properly drawn and labeled loanable funds market graph. Then describe what happened to real interest rates and the quantity of loanable funds. Each question is worth two points, one point for your graph and one for your description of what happened.1. The government is preparing to run a deficit in order to pay for a war.2. Due to worries about the future, Americans significantly increase their savings.3. A prolonged recession has prompted the government to cut taxes and increase spending.4. America is experiencing a high rate of inflation. To fight it, the government has increased taxes and cut spending.5. Explain what crowding out is. In which scenarios could crowding out most likely occur? Explain. PLEASE ANSWER QUICK!!Find the slope of a line perpendicular to the line whose equation is 9x - 3y = 81.Fully simplify your answer. Christopher Columbus sailswestward from Spain, hoping toreach Asia.1. What was the significance of Columbus's voyages? Healthy Snack. Consider the problem of purchasing afternoon snacks. Health conscious buyers need at least 6 total ounces of chocolate, 10 ounces of sugar, and 8 ounces of cream cheese. There are 2 choices of snacks: brownies and cheescakes whose ingredients are listed below. Brownies cost 50 cents and mini-cheesecakes cost 80 cents. Chocolate SugarCream Cheese Brownie322Cheesecake045a. Formulate the minimum-cost healthy purchase snack problem as a linear optimization problem, assuming a friendly bakery that allows fractional purchases, and solve it using the linprog routine from the scipy.optimize library. b. Write out explicitly the Lagrangian for this problem, as well as the optimality conditions. c. Compute the values of the Lagrange multipliers from the optimality conditions above. What is their physical interpretation in this problem? Comment on their values. d. Convert the problem to canonical form (i.e., equality constraints with zero-lower bound inequality constraints). This is the form used internally in the solution. Water vapour at 100 kPa and 150oC is compressedisothermally until half the vapour has condensed. How much workmust be performed on the steam in this compression process perkilogram? Setup a system of equations for the following::Farmer Swinger started to raise chickens and cows on his farm. Someone asked how many animals he has and Farmer Swinger replies, "I have a total of 35 animals a total number of legs is 102. Can you figure out how many chickens and cows that I have?" The beach is 141 miles away. Your gas tank hold 18 gallons, and you use 3/8 of a tank to get to the beach.a) What is your mpg (Miles per gallon)?b) If gas costs $3.15 per gallon, how much did you spend to get to the beach?*NEED ANSWERS NOW* FOR 28 POINTS im in 8th grade A sign with a mass of 1000.0 kg is suspended from a wall with a cable that is attached to the wall at a point 3.0 m above a horizontal beam that causes the sign to be a distance of 4.0 m from the wall. See the diagram below. Given a function F(A, B, C, D)=Em (0,1, 2, 6, 7, 8, 9,10 12, 13, 14)a) Obtain the Canonical SOP and POS for the functionb) Minimize the function using Quine McCluskey Technique 35+=7(_+_) i need help asp PLEASE HELP ASAP I DONT UNDERSTAND only have 10 mintues please thank youuu Fran and Winston have a combined incomeof $80 000. One quarter of Winston's incomeis the same as one-sixth of Fran's income.How much does each person earn? Block A (mass = 5 kg) with an initial velocity of 10 m/s right, collides with block B (mass = 10 kg) which is at rest. The final velocity of B is 6 m/s right. What is the final velocity (magnitude and direction) of A? The surface is frictionless. the dominant view in management theory and society, in general, is that managers are directly responsible for an organization's success or failure. This view is called the Omnipotent view of management.in contrast to this view,is the perspective that managers only have a limited effect on substantive organizational outcomers because of the large number of factors outside their control.this is called symbolic view of management.With practical examples make a justification of your view chosen from these two Give an example of a linear function that has a minimum value but no maximum value. Specify the domain and whether the function is increasing or decreasing.Select all linear functions with a minimum value but no maximum value.The decreasing function f(x)=103x over the domain x9 has a minimum value but no maximum value .The decreasing function f(x)=5x1 over the domain x7 has a minimum value but no maximum value.The increasing function f(x)=2x+5 over the domain x 5has a minimum value but no maximum value .The increasing function f(x)=72x over the domain x10 has a minimum value but no maximum value .