Find the arc length shown in red. Give your answer to 3 SF.​

Answer:

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

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 bell shaped distribution is the continuous probability distribution with a specific shape resembling a symmetrical

Bell-shaped distribution is a statistical term that describes a continuous probability distribution with a specific shape resembling a symmetrical, bell-shaped curve. This distribution is also known as the normal distribution or Gaussian distribution.

The bell-shaped distribution is characterized by its mean, which is the center of the curve, and its standard deviation, which measures the spread of the distribution. The curve is symmetric, meaning that the probabilities of values to the left and right of the mean are equal.

In a bell-shaped distribution, the majority of data points cluster around the mean, with fewer points as you move further away from the mean. The tails of the distribution extend infinitely in both directions, although the probability of observing values far from the mean becomes increasingly small.

The normal distribution is used in many fields, including science, engineering, and finance, to model real-world phenomena that are influenced by many small, random factors.

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The conversion value of Celsius to Fahrenheit for the value 30 Celsius is equal to 86 Fahrenheit.

Relation to convert the temperature from Celsius to Fahrenheit is equal to :

°F = 9 /5 ( ° C ) + 32.

Convert 30 Celsius  to Fahrenheit by substituting the value in the formula :

= 9 /5 ( 30° ) + 32

= 9 (6° ) + 32

= 54°  + 32

= 86°F

Therefore, the converted values for the 30Celsius to Fahrenheit is given by 86 Fahrenheit.

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Answer: It is undefined

Step-by-step explanation:

Hope this helps-just had a test on this!

In this list, 10 is the largest number and -1 is the smallest number, so it is also ordered from greatest to least.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Without a list of options to choose from, it is difficult to determine which list Janet could have created. However, generally speaking, a list of numbers in order from greatest to least would start with the largest number and end with the smallest number.

For example:

10, 8, 5, 3, 1

In this list, 10 is the largest number and 1 is the smallest number, so it is ordered from greatest to least. Other examples could include:

-1, 2, 4, 7, 10

Therefore, In this list, 10 is the largest number and -1 is the smallest number, so it is also ordered from greatest to least.

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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:

1...

Step-by-step explanation:

hope this helps

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?

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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The number of students who travel to school by bus will be equal to 651. Hence, option "a" is correct.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

here, we have,

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

Total students in the school = 1860

Percentage of students who come by bike or walk = 45%

So,

(1860 × 45)/100 = 837

Number of students who drive to school = 372

So, the number of students traveling by school bus will be,

1860 - (837 + 372).

= 1860 - 1209

= 651

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Percentage

48.21% approximately 50%

We got the answer by dividing the number of adults that read electronic books by the total adults

27/56 = 0.4821

we then multiply by 100 to get the percentage of needed. this gives us a decimal

48.21

which when rounded off to the nearest tenth is 50%

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The number of students in the van are 6 and in the bus are 35.

A system of equations is a combination of equations with a common solution pair.

Given is that the senior class at high school A rented and filled 3 vans and 7 buses with 263 students. High school B rented 12 vans and 3 buses with 177 students. every van had the same number of students in it as did the buses.

Assume that there are {x} students in each van and {y} students in each bus. We can write the system of equations as -

3x + 7y = 263

12x + 3y = 177

Now, we can write -

3x + 7y = 263

3x = 263 - 7y

4 x 3x = 4(263 - 7y)

12x = 1052 - 28y

So -

1052 - 28y + 3y = 177

25y = 1052 - 177

25y = 875

y = 35                                           ... { 1 }

and

3x + 7 x 35 = 263

3x = 18

x = 6                                            ... { 2 }

Therefore, the number of students in the van are 6 and in the bus are 35.

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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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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

Answer:

10 pretzels and 2 drinks

Step-by-step explanation:

2 drinks are 12

10 pretzels are 32.50

Answer:

2 drinks, 10 pretzels

Step-by-step explanation:

d = # of drinks

p = # of pretzels

1)  d + p = 12

2)  $6d + $3.25p = $44.50

solve equation 1 for d:  d = 12 - p    substitute this into equation 2 and solve for p

6(12 - p) + 3.25p = 44.50

72 - 6p + 3.25p = 44.50

-2.75p = 44.50 - 72

-2.75p = -27.50

p = -27.50/-2.75 = 10     plug this into equation 1 and solve for d

d = 12 - 10 = 2

double check the answers:  6(2) + 3.25(10) = 44.50  correct!

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?

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?

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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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 quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form

The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.

The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.

The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:

First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.

Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.

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The value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.

Quadrilateral HGFJ is a rhombus.

GF=16 cm and m∠GHK=42°.

The diagonals of the rhombus bisect each other at the right angle.

So,

m ∠KGH = 180 - 90 - 42

m ∠KGH = 48°.

And JF = GF = 16 cm.

m ∠KGH = 48°.

And JF = GF = 16 cm.

Hence, the value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.

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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:

The formula for the volume of a cylinder is:

V = πr^2h

where r is the radius of the cylinder and h is its height.

In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:

V = π(x+3)^2(x+11)

Simplifying this expression, we have:

V = π(x^2 + 6x + 9)(x+11)

V = π(x^3 + 17x^2 + 69x + 99)

Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.

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 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

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 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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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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2.75 inches is equal to 69.85 millimeter

To convert 2.75 inches to millimeter, we can use the following formula:

1 inch = 25.4 millimeter

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in feet = conversion factor × The length in meter

Substitute the values in the equation

2.75 inches = 25.4 × 2.75

Multiply the numbers

= 69.85 millimeter

Therefore, 2.75 inches is 69.85 millimeter

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