what is the area of a circle if it has a radius of 6

Answer:

it is 30, 90, and 60 as it is a right triangle

The coordinates of Room 1314 are given as follows:

(2, 13).

We are going to label the rooms are follows:

Then the coordinates of Room 1314 are obtained applying the proportions in the context of the problem.

Room 1314 is located five-sevenths of the distance from Room 1305 to Room 1324, hence the equation is given as follows:

Z - X = 5/7(Y - X).

Then the x-coordinate is obtained as follows:

x + 8 = 5/7(6 + 8)

x = 10 - 8

x = 2.

The y-coordinate is obtained as follows:

y + 2 = 5/7(19 + 2)

y + 2 = 15

y = 13.

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Looking at z table you can find the probability = 0.8643.

Describe Probability?

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. A certain occurrence has a chance of 1, while an impossible event has a probability of 0. The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1.

Probability that bulb will last at most 610 hours is same as bulb 1-probability that bulb will last more than 610 hours. Any way we can find the probability.

Pr <= 610 hours

Using Z statistic,

610-580/(900)^1/2 = 33/30 = 1.10

So we have z value = 1.10

Now looking at z table you can find the probability,

= 0.8643

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Answer:

1 Pizza

Step-by-step explanation:

10 times 2 is 20. 20 is how many pizza slices in the box, so they only need 1 pizza.

Answer:

24.413

Step-by-step explanation:

Break the shape up into 2 triangles and 1 rectangle, then add up the 3 areas.

Rectangle:  4.6 x 3.15 = 14.49

Triangle 1:  1/2(3.3)(3.15) = 5.1975

Triangle 2: 1/2(3)(6.3 - 3.15) = 4.725

Total area = 14.49 + 5.1975 + 4.725 = 24.413

The polynomial f(x) of degree 4 that has the following zeros 3 (multiplicity 2), -2, 0 is f(x) = (x-3)^2 * (x+2) * (x-0).

To find the polynomial f(x), we can use the fact that the zeros of a polynomial are the values of x that make the polynomial equal to zero. In other words, if a polynomial f(x) has zeros at x=a, x=b, and x=c, then f(x) = (x-a) * (x-b) * (x-c).

In this case, we have zeros at x=3 (with multiplicity 2), x=-2, and x=0. This means that our polynomial will have factors of (x-3)^2, (x+2), and (x-0).

Multiplying these factors together gives us the polynomial f(x) = (x-3)^2 * (x+2) * (x-0), which simplifies to f(x) = (x^2 - 6x + 9) * (x+2) * x. Expanding this expression gives us the polynomial f(x) = x^4 - 4x^3 - 3x^2 + 12x.

Therefore, the polynomial f(x) of degree 4 that has the following zeros 3 (multiplicity 2), -2, 0 is f(x) = x^4 - 4x^3 - 3x^2 + 12x.

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Nancy's ending balance after two years is $31,930.93. Below, you will learn how to solve the problem.

Plugging in the given values:

A = 4,111(1 + 1.07/12)^(12*2)
A = 4,111(1.089166)^(24)
A = 4,111(7.767)
A = $31,930.93


Therefore, Nancy's ending balance after two years is $31,930.93.

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The function g(x) = 4∛(x+2) - 5 is a transformation of the cube root parent function f(x) = ∛x. The transformation involves a vertical stretch by a factor of 4, a horizontal shift to the left by 2 units, and a vertical shift downwards by 5 units.

The cube root parent function f(x) = ∛x has a single x-intercept at the origin (0,0) and is symmetric about the origin. It has a gradual increase as x moves from negative to positive values.

In contrast, the function g(x) = 4∛(x+2) - 5 has a vertical stretch by a factor of 4, making the graph steeper than the parent function. The horizontal shift to the left by 2 units moves the x-intercept to (-2,0). The vertical shift downwards by 5 units moves the entire graph downward, so the new y-intercept is at (0,-5).

Overall, the function g(x) has been vertically stretched, horizontally shifted to the left, and vertically shifted downward from the parent function f(x).

Answer:

The slope of a parallel line are equal,and the slope of perpendicular line are opposite reciprocals

The answer to 1/5 + 2/5 is 3/5

Jay's new balance if he made one transaction of $ 128, given the credit card balance is

To find the new balance, you first need to find the interest on the old balance by the formula :

= 3, 390.88 x 18. 6 % / 12 months per year

= $ 52. 56

Jay's new balance is :

= Old balance + Interest + New transaction

= 3, 390. 88 + 52. 56 + 128

= $ 3, 571. 44

The new credit card balance is $ 3, 571. 44.

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The values of a , b and c in the given quadratic sequence are

a = 2, b = 5, c = -4

The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.

Now in the given question ,

For nth term we have,

an² + bn + c

n = 1:

a + b + c = 3    Eq. 1

n = 2:

4a + 2b + c = 14    Eq. 2

n = 3:

9a + 3b + c = 29    Eq. 3

Eq. 2 minus Eq. 1

3a + b = 11    Eq. 4

Eq. 3 minus Eq. 2

5a + b = 15    Eq. 5

Eq. 5 minus Eq. 4

2a = 4

a = 2

Plug in a = 2 into Eq. 4

3(2) + b = 11

b = 5

Plug in a = 2 and b = 5 into Eq. 1.

2+5 + c = 3

c = -4

The required values are ,  a = 2, b = 5, c = -4.

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Answer:

[tex] \to \green{3\dfrac{3}{4}} \red\div \blue{ \dfrac{3}{8} }[/tex]

[tex] \to \rm \green{ \dfrac{15}{4} } \red \times \blue {\dfrac{8}{3} }[/tex]

[tex] \to \green{ \dfrac{ \cancel {15}^{5} }{ \cancel4}}\red\times\blue{\dfrac{ \cancel {8}^{2} }{ \cancel3} }[/tex]

[tex] \huge\boxed{\rm \color{cyan} \to10} [/tex]

[tex] \colorbox{gold}{Answer By} \: \: \: \\ \underbrace \colorbox{cyan}{ \color{purple}{SublimeRanter}}[/tex]

Answer:

10.

3 3/4 can be changed to 15/4.

Then you can use the, "Keep, Change, Flip" method:

15/4 * 8/3

Then multiply the numerators and denominators together:

15 * 8 = 120

4 * 3 = 12

Resulting with = 120/12

Now divide thew numerator by the denominator to get you final product:

120 / 12 = 10

The final answer is 10!

Step-by-step explanation:

Hope it helps! =D

Answer:(-2,-3)

Step-by-step explanation: We are using elimination to solve this system of equations. They've already done the balancing so let's use their given equation. It states

[tex]4y+3x=-6[/tex]  and  [tex]3y-3x=-15[/tex]

Combine the equations which will eliminate the x term and you get :

[tex]7y = -21[/tex]

which means

[tex]y=-3[/tex]

plug it back in to solve for x and you get the x-value to be -2.

7

We can solve it by using a fractional part of a component of your body known as brain... which you might not have considering you asked such an high end mathematical question... This can be solved using the concept of Addition...

The matrix equation [4 5 40 - 9 - 5 27 1 - 7 32] can be written as a vector equation Ax = <40 27 32>

A matrix is a rectangular array of numbers, often denoted as Ax, where A is the matrix itself and x is the vector of numbers that make up the columns of the matrix.

In this problem, we are given the matrix equation 4 5 40 - 9 - 5 27 1 - 7 32 and asked to use the definition of Ax to write it as a vector equation.

To do this, we need to identify which numbers are in the matrix A and which numbers are in the vector x.

The numbers 4, 5, -9, -5, 1, and -7 represent the matrix A, while the numbers 40, 27, and 32 represent the vector x.

Therefore, the matrix equation can be written as Ax = 40 27 32.

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A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

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The skier's velocity changes during the race due to the force of gravity, making turns on the course, and the conditions of the snow and terrain.

The skier's velocity changes during the race in several ways. Firstly, the skier starts at a slower velocity and gradually accelerates as they move down the slope. This is due to the force of gravity pulling them downwards, which increases their speed.

Secondly, the skier's velocity changes as they make turns on the course. When making a turn, the skier's velocity decreases as they have to slow down in order to make the turn. Once they have completed the turn, their velocity increases again as they accelerate down the slope.

Lastly, the skier's velocity also changes due to the conditions of the snow and the terrain. For example, if the snow is packed and icy, the skier's velocity will be faster than if the snow is soft and powdery. Similarly, if the terrain is steep, the skier's velocity will be faster than if the terrain is flat.

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The height of the object is at least 1300 feet after 9 seconds. The solution has been obtained by solving the algebraic equation.

What is algebraic equation?

A mathematical expression is said to be "algebraic" if it includes variables, constants, and algebraic operations (addition, subtraction, etc.). The expression has to satisfy the algebraic equation and have the equals sign in it.

We are given an equation as h = - 16t² + 32t + 2308

Since, we need to find the times at which the height of the object at least 1300 feet so, we will substitute h = 1300 in the equation.

From this, we get

⇒1300 = - 16t² + 32t + 2308

⇒0 = - 16t² + 32t + 1008

⇒0 = -t² + 2t + 63                       (On dividing both sides by 16)

⇒t² - 2t - 63 = 0

⇒t² - 9t + 7t - 63 = 0

⇒t(t - 9) + 7(t - 9) = 0

⇒(t - 9) (t + 7) = 0

⇒t = 9 , -7

Hence, the height of the object is at least 1300 feet after 9 seconds.

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A scalene triangle is a triangle with three different side lengths and three different angle measurements.

All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.

We'll go over its definition, formulas for its area and perimeter, and its characteristics. The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices on it.

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On January 31st, the money invested would have amounted to $10,737,418.

What is meant by investment?

An asset or object acquired with the intention of creating income or recognition is referred to as an investment. The purchase of products that are not consumed right away but will be utilised to create wealth down the road is referred to as an investment in an economic outlook. An investment in finance is a financial asset that is purchased with the expectation that it will either continue to generate income or be sold at a profit at a later date.

Given,

 A penny is invested on January 1.

It doubles each day.

We should find the amount on January 31.

First day = 1

Second day = 2

Third day = 4

Fourth day = 8

So basically if it is the xth day of January, then the amount on that day is 2ˣ⁻¹

Therefore on the January 31st, the money invested would have amounted to

2³¹⁻¹ = 2³⁰ = 1,073,741,824 pennies = $10,737,418.24 = $10,737,418

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The  1 c sugar is 200 grams.

Gram (originally grams; [1] SI unit symbol g) is a mass unit in the International System of Units (SI), equal to one thousandth of a kilogram.

Originally defined from 1795 as "the absolute mass of a volume of pure water equal to one hundredth of a cubic meter [1 cm3] and at the melting point of ice", [2] the defining temperature (~ 0 °C) ) was later changed to

°C, which is the maximum density of water to temperature.

At the end of the 19th century, however, an attempt was made to make the basic unit the kilogram and a unit derived from the gram. In 1960, the new International System of Units defined the gram as one thousandth of a kilogram (ie, a gram is 1 × 10–3 kg). As of 2019, the International Bureau of Weights and Measures defines the kilogram as a fixed numerical value of Planck's constant (h) of 6.62607015×10−3

kg⋅m2⋅s−1.[3][

] ]

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Answer:

Step-by-step explanation:

Decimals are out of 100.

7/10 = 70/100

Which equals to 0.70 or 0.7

So your answer is 0.70 (0.7)

Answer:

The exact decimal equivalent of 7/10 is 0.7

Step-by-step explanation:

The reason for this is because when you divide something by ten you move the decimal place one place to the left.

So then 7.0 becomes 0.7 because the decimal place is moved once divided by ten.

The volume of the empty portion of Container B is approximately 47.1 cubic feet, to the nearest tenth of a cubic foot.

The formula V = r2h, where r is the cylinder's radius and h is its height, can be used to determine a cylinder's volume.

Water in Container A has a volume of:

V A is equal to (3 ft)2(5 ft) 141.37 ft3.

This amount of water will be moved to Container B, which has a 15-foot height and a 2-foot radius. Container B contains a total of:

V B = (1.5 x 2 x 15) x 188.5 ft 3

The volume of the empty space in Container B after the water has been pumped from Container A to Container B can be estimated by deducting the volume of the water from the overall volume of Container B:

47.1 ft3 = V empty = V B - V A

As a result, to the nearest tenth of a cubic foot, the volume of Container B's empty space is roughly 47.1 cubic feet.

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Answer:

The total surface area of the cuboid is 280.

Length: 5 cm

Width: 6 cm

Height: 10 cm

Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(Length of Cuboid*Width of Cuboid))

SATotal = 2*((l*h)+(h*w)+(l*w)) --> 2*((5*6)+(6*10)+(5*10))

SATotal = 280

Answer:y=12000(0.88)^x

$6,330

Step-by-step explanation: I got it wrong and saw the answer

The value of E is [tex](-2)^{\frac{n-1}{8n} }[/tex].

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

We have,

[tex]E^{8n}[/tex] = 1 x [tex](-2)^{n -1}[/tex]

8n root on both sides.

E = [tex]((-2)^{n -1})^\frac{1}{8n}[/tex]

E = [tex](-2)^{(n-1)\times\frac{1}{8n}}[/tex]

E = [tex](-2)^{\frac{n-1}{8n} }[/tex]

Thus,

E = [tex](-2)^{\frac{n-1}{8n} }[/tex].

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