A rectangular aquarium 7 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump the top half of the water out of the aquarium by raising it over the top of the aquarium. (Use the facts that the density of water is 1000 kg/m3 and g ≈ 9.8 m/s2.)

Answers

Answer 1

The work needed to pump the top half of the water out of the aquarium by raising it over the top of the aquarium is 34,300 J.

How to find the work needed to pump the top half of the water out of the aquarium?

First we need to calculate the total amount of water that needs to be lifted and the height it needs to be lifted to.

The volume of water in the aquarium is given by:

V = 7 m * 1 m * 1 m = 7 m^3

Since we need to pump out the top half of the water, the volume of water that needs to be lifted is:

V = (1/2) * 7 m^3 = 3.5 m^3

The mass of the water can be calculated as:

m = V * density of water = 3.5 m^3 * 1000 kg/m^3 = 3500 kg

The height that the water needs to be lifted to is equal to the height of the aquarium, which is 1 m.

The work needed to lift the water can be calculated using the formula:

W = m * g * h

where

M is the mass of the water G is the acceleration due to gravity (9.8 m/s^2) H is the height the water needs to be lifted to

So, the work needed is:

W = 3500 kg * 9.8 m/s^2 * 1 m = 34,300 J (joules)

Therefore, the work needed to pump the top half of the water out of the aquarium by raising it over the top of the aquarium is 34,300 J.

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Related Questions

what is the probability of three or fewer heads on four flips of a fair coin. enter the answer to four decimal places?

Answers

The probability of three or fewer heads on four flips of a fair coin is 0.375. This can be determined by calculating the probability of zero, one, two and three heads, which are 0.0625, 0.25, 0.375 and 0.25 respectively. The total of these probabilities is 0.375.

The probability of zero heads on four flips of a fair coin is 0.0625 (1/16).

The probability of one head on four flips of a fair coin is 0.25 (4/16).

The probability of two heads on four flips of a fair coin is 0.375 (6/16).

The probability of three heads on four flips of a fair coin is 0.25 (4/16).

The total probability of three or fewer heads on four flips of a fair coin is 0.375 (1/4).The probability of three or fewer heads on four flips of a fair coin is 0.375. This can be calculated by determining the probability of zero, one, two and three heads. The probability of zero heads is 0.0625, the probability of one head is 0.25, the probability of two heads is 0.375, and the probability of three heads is 0.25. When these probabilities are added together, the total probability of three or fewer heads on four flips is 0.375. This means that the probability of getting three or fewer heads on four flips of a fair coin is 0.375.

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Using the picture below, which trig function can be used to find the length of x?

Answers

The length of the base is approximately 8.71 units.

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

Let's call the two legs of the right triangle a and b, and the hypotenuse c. The hypotenuse is the side opposite the right angle, so in this case, we have c = 29. We also know that one of the acute angles is 71 degrees.

Using trigonometry, we can use the tangent function to find the length of the base:

tan(71) = a/b

We can solve for b by multiplying both sides by b:

b tan(71) = a

Now we can substitute c = 29 and solve for b:

b = c / tan(71)

b = 29 / tan(71)

b ≈ 8.71

Hence, The length of the base is approximately 8.71 units.

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Analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary
line.
Warm-Up
y> -1.4x +7
y> 3x-2
y <19-5x
y>-x-42
y < 3x
y<-3.5x+2.8
Solution Set Shaded Above
Solution Set Shaded Below

Answers

Answer:

The graph in the attached figure

we have

----> inequality A

The solution of the inequality A is the shaded area below the dashed line

The slope of the dashed line A is  positive m=2

The y-intercept of the dashed line A is (0,-5)

The x-intercept of the dashed line A is (2.5,0)

----> inequality B

The solution of the inequality B is the shaded area above the dashed line

The slope of the dashed line B is  negative m=-3

The y-intercept of the dashed line B is (0,1)

The x-intercept of the dashed line B is (1/3,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

using a graphing tool

The graph in the attached figure

GIVE ME BRAINLIEST IF IM CORRECT :)

HELP ASAP!!
Simplify the expression.


the expression negative one fifth j plus three fourths minus the expression five halves j plus seven eighths

Answers

The simplified expression is given as follows:

-27j/10 - 1/8.

How to simplify the expression?

The expression for this problem is defined as follows:

-j/5 + 3/4 - (5j/2 + 7/8).

The negative sign means that every term in the parenthesis has the signal exchanged, hence:

-j/5 + 3/4 - 5j/2 - 7/8.

Then the expression is simplified combining the like terms, as follows:

With j: -j/5 - 5j/2 = -2j/10 - 25j/10 = -27j/10.Constant: 3/4 - 7/8 = 6/8 - 7/8 = -1/8.

Meaning that the expression is of:

-27j/10 - 1/8.

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By rounding to one significant figure estimate the answer to 59 divided by 25

Answers

Answer:2

Step-by-step explanation:

59 to 1 sig. fig= 60

25 to 1 sig fig = 30

Therefore, 60/30 =2

Hope this helps :)

Answer:

2

Step-by-step explanation:

divide the numbers. then find the left furthest critical number.

count to the rifht by desired sig fig. use decimal to mark a place of significant zeros.

Write the following ratio in simplest form: 32 min : 36 min (1 point) a. 8 : 9 b. 8 : 36 c. 32 : 9 d. 128 : 144

Answers

The simplest form of the given ratio 32 min : 36 min is equal to  

option a. 8 : 9.

Ratio  is equal to

32 min : 36 min

Factors of 32 are = 1, 2, 4, 8, 16, 32

Factors of 36 are = 1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common factor of 32 and 36 is equal to 4

Simplest form of the given ratio is equal to

32 min : 36 min

= ( 8 × 4 ) min : ( 9 × 4 ) min

'4' get cancelled with other we get,

= 8 min : 9 min

Therefore, the simplest form of the given ratio by taking out common factors is equal to option a. 8 : 9 .

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Use the drop-down menus to order the decimals from greatest to least.
8.31, 8.296, 8.06, 8.3

Answers

Answer:

8.31, 8.3, 8.296, 8.06

Step-by-step explanation:

8.31, 8.296, 8.06, 8.3

The order of decimals from greatest to least is

8.31, 8.3, 8.296, 8.06

Figure ABCD is a square. If AC+BD=56, what is the length of AX?

Answers

Figure ABCD is a square. If AC+BD=56, the length of AX is 28.

How did we get the value?

Since ABCD is a square, all sides have the same length, let's call it "x".

We know that the sum of the diagonals of a square is equal to twice the length of a side, so AC + BD = 2x.

Therefore, 56 = 2x, and x = 28.

So the length of AX (or any side of the square) is 28 units

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can yall help me with this question immediately pls?

Answers

The diameter of the Ferris wheel will be the difference between two consecutive maximum height and minimum height of the ferris wheel.

What is diameter?

Diameter is the line jwhich passes through the center of a circle and joins two points on the circumference of the circle.

To find the diameter of the Ferris wheel which is a circle, we see that the grpah gives the height of a passenger on the Ferris wheel as a function of the number of complete cycles since the ride started.

Now, the diameter of the Ferris wheel will be the difference between two consecutive maximum height and minimum height of the ferris wheel.

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What is 200 Micrograms (mcg) in Milligrams (mg)?

Answers

To convert 200 micrograms (mcg) to milligrams (mg), we need to use the conversion factor that 1 milligram is equal to 1000 micrograms, 200 micrograms (mcg) is equal to 0.2 milligrams (mg).

When we want to convert a unit of measurement to another unit of measurement, we use conversion factors to make the conversion. In the case of converting micrograms (mcg) to milligrams (mg), we need to know that 1 milligram is equal to 1000 micrograms. This means that to convert any value from micrograms to milligrams, we need to divide by 1000.

To convert 200 micrograms (mcg) to milligrams (mg), we need to use the conversion factor that 1 milligram is equal to 1000 micrograms.

So, to convert 200 mcg to mg, we divide 200 by 1000:

200 mcg ÷ 1000 = 0.2 mg

Therefore, 200 micrograms (mcg) is equal to 0.2 milligrams (mg)

It is important to understand the concept of unit conversions because it is a crucial aspect of many scientific and engineering calculations. Knowing how to convert units of measurement allows us to work with data that is expressed in different units and compare results from different experiments. In addition, being able to convert units is a valuable skill for everyday life, such as when reading nutrition labels or measuring medication dosages.

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Write the equation of the line that passes through the points (4, -3) and (8,5). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.

Answers

An equation of the line that passes through the points (4, -3) and (8,5) is y + 3 = 2(x - 4).

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y are the points.

At data points (4, -3), a linear equation of this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-3) = (5 - (-3))/(8 - 4)(x - 4)

y + 3 = 8/4(x - 4)

y + 3 = 2(x - 4)

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sketch a graph for days 0-9

Answers

According to the information in the table, the graph would look like the one in the attached image.

How to graph the information in the table?

To graph the information in the table we must carefully observe the information. In this case, the relationship is decreasing because the number of infected is decreasing as time increases. In accordance with the above, the curve that shows this relationship is a decreasing curve.

In this case, we must locate the time on the x axis and the infected on the y axis and mark a point in the areas where the data coincide. Later we must graph a line that joins the points and our graph would be finished.

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A student is walking to school and sees a mirror on the ground.
She stops a short distance from the mirror to practice her Geometry.
She knows her own height and the height of the school. She also knows
the distance from the mirror to the school from a previous Geometry activity.
She would like to calculate the distance she is standing from the mirror.

The height of the school is 30 ft.
The distance from the school to the mirror is 50 ft.
The height of the student is 5.1 ft.
What is the distance d between the student and the mirror?
Show all your work

Answers

The distance between the student and the mirror is apprοximately 29.41 feet.

What do you mean by Distance?

Distance is a numerical measurement of hοw far apart or how far away objects or lοcations are from each other. It is a physical quantity that is usually expressed in units such as meters, kilοmeters, miles, οr feet. Distance is a scalar quantity, meaning it οnly has magnitude and nο direction.

To sοlve the problem, we can use the similar triangles prοperty of geometry. Let's denοte the distance between the student and the mirrοr as d. Then, we can set up the follοwing proportion:

(student height + height of mirrοr) / distance frοm student to mirror = height of schοol / distance from mirrοr to school

Plugging in the given values, we get:

(5.1 + 0) / d = 30 / (50 + d)

Simplifying and sοlving for d, we get:

5.1d + 0 = 150

d = 29.41

Therefοre, the distance between the student and the mirrοr is apprοximately 29.41 feet.

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Which function is the inverse of g (z) = (²-1)³ — 3?
Of(1) = √2+6+1
Of(1) = 2√2+3+1
O f(1) = 2√1+1+3
O f(1) = √21+2+3

Answers

The inverse of function is  f(x) = (x - 4)³/8 + 3

What is inverse function?

A function that reverses the results of another function is known as an inverse function. If y = f(x), then x = g(y), then a function g is the opposite of a function f. To put it another way, applying f and then g is equivalent to doing nothing. This can be expressed as g(f(x)) = x in terms of how f and g are made up.

Given g(x) = 2(∛x-3)+4

let g(x) = y

y = 2(∛x-3)+4

change the variables since options are in form of x

x =  2(∛y-3)+4

simplify for y

subtract 4 from both side

x - 4 = 2(∛y-3)+4 - 4

x - 4 = 2(∛y-3)

divide both side by 2

(x - 4)/2 = (2(∛y-3))/2

(x - 4)/2 = (∛y-3)

cube both side

((x - 4)/2)³ = ((∛y-3))³

(x - 4)³/8 = y - 3

(x - 4)³/8 + 3 = y

Hence  the value f(x) =  (x - 4)³/8 + 3 .

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What is the simplest form of the radical expression?
√2+√5/√2-√5

Answers

Exact Form: - 7+2√10/3

Simplifier chacune des expressions suivantes et identifier la nature du nombre obtenu.
= 2 +
2
3
; =
2
5
+ 7; = (√3 + 1)(√3 − 1) ; = (√5 + 1)²

Answers

Answer:its 5

Step-by-step explanation: cuz

the population of a school is 800 students and is increasing at a rate of 2%per year.

Answers

Answer: Increases by 16 students per year

Step-by-step explanation:

100% = 800

2% = x

So between 100% and 2%, the scale factor would be 50 since 100 / 2 = 50

Then 800 / 50 would be 16

So..

1 Year = 816 students

2 Years = 832 students

3 Years = 848 students

4 Years = 864

And so on..

A student is walking to school and sees a mirror on the ground.
She stops a short distance from the mirror to practice her Geometry.
She knows her own height and the height of the school. She also knows the distance from the mirror to the school from previous Geometry activity. She would like to calculate the distance she is standing from the mirror.

The height of the school is 30 ft.
The distance from the school to the mirror is 50 ft.

The height of the student is 6.3 ft.

What is the distance d between the student and the mirror?

Answers

The distance d between the student and the mirror is given by the similar triangles are d = 10.5 feet

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangles be represented as ΔABC and ΔCDE

Now , they are similar triangles

The measure of AB = height of the school = 30 feet

The measure of BC = distance from the school to the mirror = 50 feet

And ,

The measure of DE = height of the student = 6.3 feet

The measure of CD = distance d between the student and the mirror

So , the corresponding sides of similar triangles are in the same ratio

On simplifying the equation , we get

BC / AB = CD / DE

And , 50 / 30 = d / 6.3

Multiply by 6.3 on both sides , we get

d = ( 5/3 ) x 6.3

d = 31.5 / 3

d = 10.5 feet

Hence , the distance d between the student and the mirror is 10.5 feet

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how to tell if an integral is convergent or divergent

Answers

Answer:

Convergent - If the limit exists and is a finite number it is a “improper integral convergent” / “convergent”

Divergent - If the limit is positive infinity (+♾️) or doesn’t exist it is a “ improper integral divergent” / “divergent”

Vector u = (-3, 8), and vector v = (-14, 6). Match each vector operation with the magnitude of its resultant vector

Answers

The magnitude of given operations of vectors are found.

What are Vectors?

Quantities with the independent characteristics of magnitude and direction are called vectors.

Given:

u = (-3, 8) and v = (-14, 6)

So, 3u = (-9, 24) and 2v = (-28, 12)

3u - 2v = (-9+28, 24-12)

3u - 2v = (19, 12)

Magnitude of 3u - 2v = √19² + 12²  = √505 units

2u = (-6, 16) and 3v = (-42, 18)

2u - 3v = (36, -2)

Magnitude = √36² + (-2)²  = √1300 units

u = (-3, 8) and 4v = (-56, 24)

u + 4v = (-59, 32)

Magnitude = √(-59)² + 32²  = √4505  units

5u = (-15, 40) and v = (-14, 6)

5u - v = (-1, 34)

Magnitude = √1157  units

7u = (-21, 56) and 2v = (-28, 12)

7u - 2v = (7, 44)

Magnitude = √1985 units.

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Erika has a baking company and needs to purchase 17 2/5 pounds of flour for her cakes. The Baking Goods Store sells two different-sized bags of flour. The table shows the amounts of flour in the bag, the number of bags at the store, and the cost per bag of flour.

Answers

The number of small ball bags she will need is 7 small bags, the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given that;

Need of flour for cakes= 17 2/5 pounds

Now,

There are 4 large bags, and each one has 4 pounds.

She buys all of the large bags, she already has;

4x4=16

16 pounds. So, she only needs

17 2/5 -16= 1 2/5

=5/5+2/5

=7/5

1 2/5 pounds more, this fraction is equals to 7/5 pounds.

The small bags only contains 1/5 pounds of flour so,

7/5/1/5

=7*5/1*5

=7

Therefore, by algebra the answer will be 7 bags

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The complete question is;

Erika has a baking company and needs to purchase 17 pounds of flour for her cakes. The Baking Goods Store sells two different-sized bags of flour. The table shows the amounts of flour in the bag, the number of bags at the store, and the cost per bag of flour. Size Pounds 1 Bags for Sale 75 Cost per Bag Small $0.84 5 Large 4 4 $16.80 If Erika buys all of the large bags, how many small bags will she need? A. 7 small bags B. 12 small bags C. 28 small bags D. 71 small bags

HELP ME PLEASE!!!!! FAST ASAP HELP
PICTURE ATTACHED

A company logo is made up of a desire and two identical triangles as shown in this image
What is the area of the logo

Answers

The area of the logo is given as 139 cm

How to solve for the area

In order to get the area of the shape, i would have to get the area of the triangles first

area of a triangle = 1/2 b * h

base = 9 / 2 = 4.5

h = 6

area = 1/2 * 9 * 6

= 27

Area of 2 triangle = 2 x 27

= 58

The are aof the square = a * a

= 9 * 9

= 81

The total area of the logo is given as 81 + 58

= 139 cm

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∠A and ∠B are vertical angles. If m∠A=(7x−18) ∘ and m∠B=(6x−8) ∘ , then find the measure of ∠A.

Answers

The measure of angle A is 52 degree.

What is the measure of angle A?

Vertical angles are angles that are opposite of each other when two lines crosses, they are congruent.

Given that;

Angle A = ( 7x - 18 )∘Angle B = ( 6x - 8)∘

Since vertical angles are congruent,

Angle A = Angle B

Plug in the given values

( 7x - 18 ) = ( 6x - 8)

Solve for x

7x - 18 = 6x - 8

7x - 6x = -8 + 18

x = -8 + 18

x = 10

Hence, angle A will be;

Angle A = 7x - 18

Plug in x = 10

Angle A = 7( 10 ) - 18

Angle A = 70 - 18

Angle A = 52°

Therefore, angle A is 52 degree.

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: CC> Chapter 9: Mean> Section Exercises 9.2 > Exercise 13
13
Complete these two different sets of data so that they each have six values and a mean of 21.
20, 20.5, 20.5, 21.5, 21.5,
20, 21, 21, 21, 21,

Answers

Answer:

To complete the first set of data so that it has six values and a mean of 21, you can add the following values: 20, 20.5, 20.5, 21.5, 21.5, 21.

The mean of this set is calculated as follows: (20 + 20.5 + 20.5 + 21.5 + 21.5 + 21) / 6 = 21.

To complete the second set of data so that it has six values and a mean of 21, you can add the following values: 20, 21, 21, 21, 21, 22.

The mean of this set is calculated as follows: (20 + 21 + 21 + 21 + 21 + 22) / 6 = 21.

Write an equation in slope-intercept form for the line that passes through the points (0, 5) and (1, 3)?

Answers

Answer:

Step-by-step explanation:

y= -2x + 5

A global denim brand announced in 2010 that it is launching a new collection of jeans which are made with reduced consumption of water during the manufacturing process. While usual manufacturing of a pair of jeans requires approximately 42 litres of water, this collection would reduce the water usage by a minimum of 28%. Do you think this initiative by the company is beneficial for water conservation? How much water can be conserved in litres, on a pair of jeans?

Answers

The number of liters of water that can be conserved will be 11.76 liters. The initiative by the company is beneficial for water conservation.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The number of liters of water that can be conserved is given as,

⇒ 28% of 42

⇒ 0.28 x 42

⇒ 11.76 liters

The number of liters of water that can be conserved will be 11.76 liters. The initiative by the company is beneficial for water conservation.

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The image of a trapezoid is shown.

An isosceles trapezoid with a short base of 3 meters and a height of 5 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.

What is the area of the trapezoid?

70 m2
38 m2
35 m2
19 m2

Answers

Answer: 35m2

Step-by-step explanation:took the test and i got it right

An isosceles trapezoid with a short base of 3 meters and a height of 5 meters then the area of the trapezoid is 35 m²

What is the area of the trapezoid?

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

We can start by finding the length of the long base. Since the trapezoid is isosceles, we know that the length of the portion of the large base from the left vertex to the perpendicular is equal to the length of the portion from the right vertex to the perpendicular. Let's call the length of the long base "x":

x = 4 + 7 = 11 meters

Now we can use the formula for the area of a trapezoid:

Area = (1/2) * (short base + long base) * height

Substituting the values we have:

Area = (1/2) * (3 + 11) * 5

Area = 7 * 5

Area = 35 m²

Therefore, the area of the trapezoid is 35 m².

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A 2020 study showed that the presence of male pattern baldness and a severe reaction to COVID-19 had a strong association, so some suggested that having male pattern baldness might somehow cause a person to have a severe reaction to COVID-19 (since they had been bald before catching COVID-19, so that the disease could not have caused their baldness). Which option below was most likely a lurking variable?

Age

Diet

Height

Weight

Answers

If a 2020 study showed that the presence of male pattern baldness and a severe reaction to COVID-19 had a strong association: A. Age is the most likely lurking variable in this scenario.

What is a  lurking variable?

In this case, the relationship between male pattern baldness and severe COVID-19 reactions may be influenced by age, as older individuals are more likely to experience both male pattern baldness and severe COVID-19 symptoms.

Age could also affect other factors such as overall health and immune system function, which may contribute to the severity of COVID-19 symptoms.

Diet, height, and weight may also be related to overall health and immune system function, but they are less likely to be related specifically to male pattern baldness

Therefore, age is the most likely lurking variable in this scenario.

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select the statement which is true about the functions over the interval [1,2]

Answers

The true statement is (b) Function 2 has the lowest average rate

How to determine the true statement

We start by calculating the average rates of each function

The interval is given as [1, 2]

For Function 1

We have

f(1) = -3

f(2) = 3

The average rate is then calculated as

Average rate = [f(2) - f(1)]/[2 - 1]

Average rate = (3 + 3)/1

Average rate = 6

For Function 2

We have

f(1) = (1/4)^1 + 4 = 4.25

f(2) = (1/4)^2 + 4 = 4.0625

The average rate is then calculated as

Average rate = [f(2) - f(1)]/[2 - 1]

Average rate = (4.0625 - 4.25)/1

Average rate =-0.1875

For Function 2

We have

f(1) = -2

f(2) = 0

The average rate is then calculated as

Average rate = [f(2) - f(1)]/[2 - 1]

Average rate = (0 + 2)/1

Average rate = 2

The lowest average rate is -0.1875 for function 2

Hence, function 2 has the least rate

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What is 20% off 250000 ?

Answers

From the given information provided, 20% off 250000 is 50000, and the discounted price is 200000.

The formula for calculating percentage is:

percentage = (part/whole) x 100

Here's an example:

Let's say you got 35 out of 50 questions correct on a test. To calculate the percentage of questions you answered correctly, you would use the formula as follows:

percentage = (35/50) x 100

percentage = 0.7 x 100

percentage = 70%

To calculate 20% off 250000, you can multiply 250000 by 20% (which is 0.20 in decimal form) and then subtract the result from 250000:

250000 - (0.20 x 250000) = 250000 - 50000 = 200000

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