Two pools are being filled with water. To start, the first pool contains 1920 liters of water and the second pool contains 2500 liters of water. Water is being added to the first pool at a rate of 34. 75 liters per minute. Water is being added to the second pool at a rate of 20. 25 liters per minute

Aristotle was the first to draw the conclusion that the Earth is round from actual data.

The first people to reach the empirically supported conclusion that the Earth was spherical were the ancient Greeks. In the sixth century BCE, Pythagoras originally put out the notion of a spherical Earth, which was further expanded by his disciples Parmenides and Plato. Yet in the fourth century BCE, the Greek philosopher Aristotle offered the strongest factual support for a spherical Earth.

Aristotle noted that the Moon experiences a bent shadow from the Earth during lunar eclipses. He understood that the Earth would have to be a sphere for this to happen. Aristotle also observed that the North Star's height fluctuates as one moves north or south, which could only be justified if the Earth were curved. Aristotle came to the conclusion that the Earth was a spherical based on these and other observations, which was a commonly held belief in the ancient world and has subsequently been supported by a wealth of data.

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Answer:

Option B

Step-by-step explanation:

Let:

w = number of withdrawals

C = Monthly cost

For Bella:

$3 = Fixed monthly charge

$1.50 × w = Amount charged for every withdrawal she makes

∴Linear equation describing her monthly cost:

C = 3 + 1.5w

For Justin:

$0 = Fixed monthly charge

$2 × w = Amount charged for every withdrawal he makes

∴Linear equation describing his monthly cost:

C = 2w

∴System of equations:

      C = 3 + 1.5w

      C = 2w

∴Option B

The value of 350 milliliters to ounce after conversion the unit is equal to  11.8349 ounce.

Formula used to convert milliliters to ounce is written as:

One milliliter is equal to 0.033814 fluid ounce .

Now substitute the value 350 milliliters to convert into ounce we get,

⇒ 350 milliliters = ( 350 ) × (  0.033814 ) fluid ounce

⇒ 350 milliliters = ( 11.8349 ) fluid ounce

Therefore, the converted value of the milliliters to ounce for 350 milliliters is equal to  ( 11.8349 ) fluid ounce.

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One U.S. ounce (oz) is equal to 0.0296 litre. Simply multiply any number of oz with the given value of litre to convert and find volume.

Using a volumetric unit of measurement, the three-dimensional extent of an object or space can be determined. Volume is used to determine capacity. The volumetric unit is therefore essentially a unit for measuring the size or extent of an object or space.

The unit is typically used to describe the volume of goods or liquids. Use the International System of Units to calculate a quantity of something. The SI Units are used globally to communicate the measurements used in research settings despite the fact that people speak various languages.

For measuring volume, the three most widely used SI units are cubic meters, liters, and milliliters. specifically, the SI system's cubic meter as the unit of volume.

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The quartic polynomial in standard form is:

f(x) = x^4 - 4x^3 - 19x^2 + 106x - 300

Since the zeros of the quartic function are -5, -2, 5, and 6, we can write the function as:

f(x) = a(x + 5)(x + 2)(x - 5)(x - 6)

where a is the leading coefficient of f(x).

Since the leading coefficient of f(x) is assumed to be 1, we have:

f(x) = (x + 5)(x + 2)(x - 5)(x - 6)

To write this in standard form, we need to expand the product:

f(x) = (x^2 + 7x + 10)(x^2 - 11x + 30)

Multiplying out the terms, we get:

f(x) = x^4 - 4x^3 - 19x^2 + 106x - 300

Therefore, the quartic polynomial in standard form is:

f(x) = x^4 - 4x^3 - 19x^2 + 106x - 300

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The derivative of cosx is -sinx

Derivative defines the change in the dependent variable with respect to a small change in the independent variable

This means that if we have

y = cosx

where x is the independent variable and y is the independent variable, then the derivative of cosx i.e y will be the amount of change in y due to a small change in x.

i.e, dy/dx = -sinx

we also write this as

d/dx (cosx) = -sinx

This can be proved by the first principle where

[tex]f'(x) = \lim_{h \to 0} \frac{ [f(x + h) - f(x)] }{h}[/tex]

Hence we get

d/dx (cosx)

[tex]f'(x) = \lim_{h \to 0} \frac{ [cos(x + h) - cosx] }{h}[/tex]

[tex]= \lim_{h \to 0}\frac{[-2sin\frac{x+h+x}{2} sin\frac{x+h-x}{2}]}{h}[/tex]

[tex]= \lim_{h \to 0}\frac{ [-2sin\frac{2x+h}{2} sin\frac{h}{2} ]}{h}[/tex]

[tex]= \lim_{h \to 0}\frac{ [-sin\frac{2x+h}{2} sin\frac{h}{2} ]}{h/2}[/tex]

Now we know that [tex]\lim_{x \to0} \frac{sinx}{x} = 1[/tex]

Hence we get

-sinx

Therefore derivative of cosx = -sinx

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The shape of the cross section is circle from the following option given.

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

When a cylinder is sliced parallel to its bases, the shape of the cross section will be a circle. This is because the bases of a cylinder are circular, and any plane that is parallel to the bases will intersect the cylinder in a circle of the same radius as the bases. Therefore, regardless of the position of the slice, the shape of the cross section will always be a circle.

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The number of seconds that the ball isat its maximum height is 5 seconds.

It should be noted that to find the time at which the softball is at its maximum height, we need to find the vertex of the parabolic equation h = -4t^2 + 40t + 5.5.

The vertex of a parabola of the form h = at^2 + bt + c is given by the formula t = -b / (2a).

In this case, a = -4 and b = 40, so the time at which the ball reaches its maximum height is:

t = -b / (2a) = -40 / (2*(-4)) = 5 seconds.

Therefore, the ball is at its maximum height after 5 seconds.

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Two softball players are practicing catching fly balls. One player throws a ball to the other and the path of the softball is modeled by the equation h = -4t2 +40t +5.5, where h is the height (in feet) of the softball and is the time in seconds that have elapsed. b

After how many seconds is the ball at its maximum height?

The correlation coefficient is a number that measures the strength of the linear association between two numerical variables.

The correlation coefficient is a statistical measure used to determine the strength and direction of the linear relationship between two numerical variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger correlation, and values closer to 0 indicate a weaker correlation. A negative correlation means that as one variable increases, the other decreases, while a positive correlation means that both variables increase or decrease together. The correlation coefficient is an important tool in many fields, such as finance, economics, and healthcare, where it can help identify patterns and predict future outcomes based on past data.

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Answer:

30^

Step-by-step explanation:

To write 0.3 as a percent, multiply 0.3 by 100. Append % symbol in the product obtained. So, 0.3 as a percent is 30 %. We can write in just two steps to calculate any decimal into a percent.

Answer:

The number of terms in the series is (n-m+3)/3, where n is the last term in the series.

Using ratios we know that the area of the 2nd garden is 4 times larger than the area of the 1st garden.

A ratio in mathematics displays how often one number occurs in another.

For instance, if there were eight oranges and six lemons on a fruit platter, the ratio of oranges to lemons would be eight to six.

In comparison to lemons, which make up 6:8, oranges account up 8:14 of the overall fruit.

A calculator will return a result of 0.6 decimals if you enter this.

In other words, any two numbers that divide to produce the same result are equal to 3/5.

So, the area of the 1st garden:

9 ft long and 61/2 ft wide

The area of the 2nd garden:

36 ft long and 6/1/2 ft wide

Now, since the breadth is the same, let's consider the length:

9ft and 36ft

9:36

9/36

1/4

Therefore, using ratios we know that the area of the 2nd garden is 4 times larger than the area of the 1st garden.

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Answer:

The 2nd garden is 4 times bigger because you do

9:36

9/36         which gets you ur answer

1/4

Step-by-step explanation:

I hope this helped :) Brainliest please?

Answer: It is undefined

Step-by-step explanation:

Hope this helps-just had a test on this!

The home buyer saves $26,289 by choosing Loan A. The closest answer choice is $26,351.02.

From the question, we are to determine the amount the home buyer saves in total by choosing loan A

To calculate the savings, we need to find the total amount paid for both loans and then subtract the total paid for Loan A from the total paid for Loan B.

For Loan A:

M = $3,509.71

Total amount paid = 15 years x 12 months/year x $3,509.71/month = $631,748.20

For Loan B:

M = $3,659.86

Total amount paid = 15 years x 12 months/year x $3,659.86/month = $658,037.20

The difference between the two is:

$658,037.20 - $631,748.20 = $26,289.00

Hence, the amount the home buyer saves is $26,289

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Answer:

B. 11,427.00

Step-by-step explanation:

got it right on test

The number of participants in this year's parade are 141 which is 27 more than last year's parade.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question, Last year's local parade had 114 participants, which is 27 less than this year's parade.

Let number of participants in this year's parade = x

Number of participants in last year = 114

So, according to the question:

x - 27 = 114

x = 114 + 27

x = 141

So, the number of participants in this year's parade = 141

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The length of 164 centimeter after conversion to feet is equivalent to 5.38 feet .

The Units such as centimeter , meter , feet , inches , feet , are used to measure the distance between the two points .

We have to convert the length of 164 cm to feet ;

For conversion , we multiply the given length in centimeter by the conversion factor ;

The conversion factor to convert the length is 0.0328 ;

So , on multiplication ,

We get ;

⇒ 164 centimeter = 164 × 0.0328 feet ;

⇒ 164 centimeter = 5.3792 feet ≈ 5.38 feet .

Therefore , 164 centimeter is approximately equal to 5.38 feet .

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Therefore, the solutions to the simultaneous equation are (x, y) = ((5 + √(21))/2, (5 - √(21))/2) and (x, y) = ((5 - √(21))/2, (5 + √(21))/2).

To solve the simultaneous equation 1÷x + 1÷y = 5, 1÷y - 1÷x = 1, we can use the substitution method. Here are the steps to solve the equation:
1. Rearrange the first equation to get 1÷y = 5 - 1÷x
2. Substitute this into the second equation to get 1÷(5 - 1÷x) - 1÷x = 1
3. Multiply both sides by x(5 - 1÷x) to get x - (5 - 1÷x) = x(5 - 1÷x)
4. Simplify and rearrange to get x² - 5x + 1 = 0
5. Use the quadratic formula to solve for x: x = (-(-5) ± √((-5)² - 4(1)(1)))÷(2(1)) = (5 ± √(21))/2
6. Substitute the values of x back into the first equation to find the corresponding values of y: y = 1÷(5 - 1÷((5 + √(21))/2)) = (5 - √(21))/2 and y = 1÷(5 - 1÷((5 - √(21))/2)) = (5 + √(21))/2

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The following equation after completion gives us the result which are given below :

An equation is made up of two expressions joined by an equal sign ("="). The two expressions on each side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. This will not limit generality since we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Algebra examines two major groups of equations: polynomial equations and linear equations. P(x) = 0, where P is a polynomial and axe + b = 0 is the generic form of linear equations, can be used to write polynomial equations with one variable. a and b are parameters in this case. To solve these equations, we can use geometric or computational approaches from linear algebra or mathematical analysis. There are also several sorts of equations, such as:

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Answer:

Step-by-step explanation:

∠1+∠2= 25+52=77° ⇒ 1

∠4=180-103=77

∴∠4=∠1+∠2

Answer:

Step-by-step explanation:

The two shorter sides are 52 cm in length

The two longer sides are 1.5 times the length of the shorter sides

= 52 x 1.5 = 78 cm

The two longer sides are 78 cm in length

Now, just add all the sides

52 + 52 + 78 + 78 = 260

The perimeter is 260 cm.

The volume of the cylnder is  9,728.5 ft³

For a cylinder of radius R and height H, the volume is given by:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is.

H = (20 + 1/2) ft = 20.5 ft

And the diameter is (1 + 1/5) times the height, then:

D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft

And the radius is half of that, so:

R = 12.3ft

Then the volume is:

V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³

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Answer:

1...

Step-by-step explanation:

hope this helps

With the help of using Pythagoras Theorem, we find out the value of C in this abc right angled triangle. A = 12units, B = 5 units and C = 13 units.

assuming that A and B are the lengths of the legs of a right angled  triangle and we need to find the length of the hypotenuse (c), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Using this theorem, we can write:

c² = a² + b²

Substituting the given values, we get:

c² = 12² + 5²

c² = 144 + 25

c² = 169

c = √169

c = 13

Therefore, the length of the hypotenuse (c) is 13 units. the Pythagorean theorem is a mathematical formula that relates to the sides of a right angled triangle. It states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (legs). The Pythagorean theorem is named after the ancient Greek mathematician Pythagoras and is widely used in geometry and other fields of mathematics. It is a fundamental concept in trigonometry, which deals with the relationships between the angles and sides of triangles.

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Answer:

En total hay 22 + 31 + 32 = 85 bolas. De estas, 31 hijo b

Por lo tanto, la probabilidad de que la primera bola en un carril sea una bola de doce libras es:

P(bola de doce libras) = número de bolas de doce libras / número total de bolas

P(bola de doce libras) = 31 / 85

P(bola de doce libras) ≈ 0.365

Por lo tanto, las probabilidades a favor de que la primera bola en un carril sea una bola de doce libras son de aproximadamente 0.365, o alrededor del 36.5%.

Step-by-step explanation:

espero te sirva

The percentage of children who spend over 10 hours per day unsupervised will be 0.005%.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

We have been Given that the average time that is unsupervised is 3 hours and the standard deviation is 1.8 hours. The percentage of children who spend over 10 hours per day unsupervised can be calculated as,

P(X>10) = 1 - P(X<10)

= 1 - P(Z< 3.889)

         = 1 - 0.99995

           = 0.00005

Hence, The percentage is 0.005%.

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The complete question is

Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day. What percent of the children spend over 10 hours per day unsupervised?

Answer:

The equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

Step-by-step explanation:

Answer:

20 millilitres of oil

Step-by-step explanation:

You need to first find how much goes into 1 litre of oil and to do that we divide the two numbers

80/2 = 40

Now we know that for every 1 litre we need 40 millitres

Since .5 is half of 1 we just need to take half of 40

half of 40 = 20

20 millilitres of oil

The requried length of the segment CE in the given figure is 16 centimeters.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
From the given figure,
Applying the trig ratios in triangle ABC to evaluate BC,
tan60 = 12/BC
BC = 12/√3
BC = 4√3

Now,
BC = AD and ∠EAD = 90 - ∠ABC  [∠ABC = ∠ADC]
So ∠EAD = 90 - 60 = 30

Again in triangle ADE,
tan60 = ED/AD
ED = AD/√3
ED = 4√3/√√3
ED = 4

SO, the required length CE
= ED + DC
= 4 + 12
= 16 cm

Thus, the requried length of the segment CE in the given figure is 16 centimeters.

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The sum of angles of a polygon having 10 sides is equal to 1440°.

The sum of angles of a polygon having 10 sides is equal to 1440°. This can be calculated by using the formula:

Sum of angles of a polygon = (n - 2) * 180°

Where n is the number of sides of the polygon.

Therefore, substituting the value of n = 10 in the above formula, we get:

Sum of angles of a polygon = (10 - 2) * 180°

Sum of angles of a polygon = 8 * 180°

Sum of angles of a polygon = 1440°

Hence, the sum of angles of a polygon having 10 sides is equal to 1440°.

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The area of ​​the land is equal to 40,000 m².

The number of ten thousand that can fit on the ground is 4.

The number of animals is equal to 400 animals.

Mathematically, the area of a trapezoid can be calculated by using this mathematical expression:

Area of trapezoid, A = ½ × (a + b) × h

Where:

By substituting the given parameters, we have the following:

Area of trapezoid, A = ½ × (a + b) × h

Area of trapezoid, A = ½ × (250 + 150) × 200

Area of trapezoid, A = (400) × 100

Area of trapezoid, A = 40,000 m².

For the number of ten thousand that can fit on the ground, we have:

Number of ten thousand = 40,000/10,000

Number of ten thousand = 4.

Finally, we would determine the number of animals as follows;

100 animals = 10,000 m²

x animals = 40,000 m²

By cross-multiplying, we have:

x = (40,000 × 100)/10,000

x = 400 animals.

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Complete Question:

A rancher has a trapezoidal terrain like the one shown in the drawing. Sheep are raised on this land at a rate of 100 animals per 10,000 m²

a) What is the area of ​​the land?

b) How many ten thousand can fit on the ground?

c) How many animals are raised on the land?