Plz answer this question and I will mark you as brainliest

Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99

Answer:

y=-37

Step-by-step explanation:

0+6y=7(y+6)-5

0+6y=7y+42-5

6y=7y+37

-1y=37

y=-37

Step-by-step explanation:

{20,3}

because it is the objects of function

The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.

1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:

nth term = first term + (n - 1) * common difference

Here, the 4th term is given as 6 and the common difference is 2.9.   Plugging in these values, we can calculate the 18th term as follows:

18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2

2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:

A = P * \((1 + r/n)^{(n*t) }\)

Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:

P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5

A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39

3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:

P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5

A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17

4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:

Monthly payment = Total amount / Number of payments

Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:

Monthly payment = 1709 / 16 = $202.06

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We are asked to find the eigenvalues of a given matrix and determine a basis for each eigenspace.

The given matrix is:

[30  0]

[93 10]

[-50 -2]

To find the eigenvalues, we need to solve the characteristic equation:

|A - λI| = 0

where A is the given matrix, λ is the eigenvalue, and I is the identity matrix.

Let's set up the characteristic equation and solve for λ:

|30 - λ   0   |

|93   10 - λ|

|-50   -2 - λ| = 0

Expanding the determinant, we have:

(30 - λ)((10)(- λ) - (-2)(-50)) - (0)((93)(- λ) - (-2)(-50)) + (0)((93)(-2) - (10)(-50)) = 0

Simplifying further, we get:

(30 - λ)(10λ + 100) + 0 + 0 = 0

Expanding and rearranging terms:

300λ + 3000 - 10λ^2 - 100λ = 0

Simplifying the equation:

-10λ^2 + 200λ + 3000 = 0

Dividing by -10:

λ^2 - 20λ - 300 = 0

Factoring the quadratic equation:

(λ - 30)(λ + 10) = 0

So the eigenvalues are λ = 30 and λ = -10.

To determine the basis for each eigenspace, we need to find the eigenvectors associated with each eigenvalue.

For λ = 30:

To find the eigenvector, we solve the equation (A - λI)v = 0, where v is the eigenvector.

Substituting the values:

(30 - 30)v1 + 0v2 = 0

93v1 + (10 - 30)v2 = 0

(-50)v1 + (-2)v2 = 0

Simplifying the system of equations:

0v1 + 0v2 = 0

93v1 - 20v2 = 0

-50v1 - 2v2 = 0

We can choose v1 = 1 as a free variable, and from the second equation, we get v2 = 0. Therefore, the eigenvector for λ = 30 is [1, 0].

For λ = -10:

Substituting the values:

(30 - (-10))v1 + 0v2 = 0

93v1 + (10 - (-10))v2 = 0

(-50)v1 + (-2)v2 = 0

Simplifying the system of equations:

40v1 + 0v2 = 0

93v1 + 20v2 = 0

-50v1 - 2v2 = 0

From the first equation, we get v1 = 0. Substituting this into the second equation, we get v2 = 0. Therefore, the eigenvector for λ = -10 is [0, 0].

In summary, the eigenvalues of the given matrix are λ = 30 and λ = -10. The basis for the eigenspace associated with λ = 30 is {[1, 0]}. The basis for the eigenspace associated with λ = -10 is {[0, 0]}.

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Answer:

y=-1x-2

Step-by-step explanation:

hope it helps ^^

Answer:

y = -x - 2

Step-by-step explanation:

Since we have a straight, linear line, the line follows the y = mx + b format

The line moves one unit down for every unit to the right, making m = 1

Since the line has a downward slope, m = -1

Since the line crosses the y-axis at -2, b = -2

Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2

Answer/Step-by-step explanation:

C = 82

Pythagorean Theorem: a^2 + b^2 = c^2

\(80^{2} = 6400\\18^{2} = 324\\6400 + 324 = 6724\\\sqrt{6724} = 82\)

Answer: 2.7 kg

1 kilogram (kg) = 2.204623 pounds (lb)

\(\frac{6 lb}{1}\) × \(\frac{1 kg }{2.204623 lb}\) = 2.721553753 kg

You place 1 kg over 2.204623 lb since they are equal. In the above equation, the pounds (lb) cancel out since one is in the numerator (the number on top of the fraction) and one is in the denominator (the number on the bottom of the fraction). You multiply 6 by the 1 in the numerator and multiply the 1 in the denominator by 2.204623. This turns the equation into:

\(\frac{6 kg}{2.204623}\) =2.721553753 kg

You divide 6 by 2.204623 to get 2.721553753

To round to the tenths place, you include only the first number to the right of the decimal, which is 7. Since the number to the right of the 7 is less than five, it stays 7. If it were five or bigger, 7 would turn into 8.

The answer: 2.7 kg

The right alternative to replace the question mark (?) is nik.

The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.

Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...

Applying this, we can determine the next term in the series:

w → t → q → n

f → g → h → i

b → d → g → k

So, the next term comes to be "nik"

Therefore, the right alternative to replace the question mark (?) is "nik".

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For a two-force body in equilibrium, the following are the true statements:The body must have no acceleration. This means that the net force acting on it must be zero. Therefore, the two forces must be equal in magnitude but opposite in direction.

A force is a vector quantity with both magnitude and direction. Since two forces are acting on the same body in opposite directions, they must be of equal magnitude and must cancel each other out to keep the body in equilibrium.

For example, if one force is 10 N to the right, the other force must be 10 N to the left. For the two-force body in equilibrium, the point of application of each force must be in line with the other

. The point of application of each force must be on the same line of action for the two forces to be in equilibrium. Otherwise, the body will experience a torque or a moment that can cause it to rotate around its center of mass or axis.

For example, if one force is applied at the top of the body and the other at the bottom, the body will not be in equilibrium and will tend to rotate.

A two-force body in equilibrium must be rigid. This means that the body must be able to maintain its shape and size under the action of the two forces. If the body deforms or changes shape, it will not be in equilibrium.

For example, if two forces are acting on a rubber ball, the ball will deform and change shape under the forces, so it will not be in equilibrium.

Therefore, a two-force body in equilibrium must be rigid, such as a metal or wooden block. Thus, a two-force body in equilibrium must have no acceleration, the two forces must be equal in magnitude but opposite in direction, the point of application of each force must be in line with the other, and the body must be rigid. These are the true statements for a two-force body in equilibrium.

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Answer:

Symmetric property

On a surface analysis chart, the solid lines that depict sea level pressure patterns are called isobars.

Isobars are lines connecting points of equal atmospheric pressure at sea level. They provide a visual representation of pressure variations across a geographical area.

Isobars are typically displayed on weather maps to illustrate high and low pressure systems, as well as the strength and location of pressure gradients. High-pressure systems are indicated by circular isobars, while low-pressure systems are depicted by oval or elongated isobars.

By examining the spacing and configuration of isobars, meteorologists can interpret weather patterns and make predictions.

Areas with tightly packed isobars indicate strong pressure gradients, which signify strong winds and potentially severe weather conditions. On the other hand, widely spaced isobars suggest weaker pressure gradients and calmer weather.

Overall, isobars on a surface analysis chart are crucial in understanding and analyzing atmospheric pressure patterns and their implications on weather conditions.

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,

Answer:

c

Step-by-step explanation:

I am not sure though..it just seems to make more sense

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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Answer:

a=28, b=-15

Step-by-step explanation:

\(Method\ by\ linear\ combinaisons\\\left\{\begin{array}{ccc|c|c|}2a+5b&=&-19&-1&3\\3a+5b&=&9&1&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\5b&=&-75\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\b&=&-15\\\end{array}\right.\\\)

The correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

To determine if the vectors v1 = (a, 1), v2 = (-4, a), and v3 = (4, 6) are linearly independent, we can check the determinant of the matrix formed by these vectors. If the determinant is not equal to zero, the vectors are linearly independent. Otherwise, they are linearly dependent.

The matrix is:
| a, -4, 4 |
| 1,  a, 6 |

The determinant is: a * a * 1 + (-4) * 6 * 4 = a^2 - 96.

Now, we want to find the real number(s) a for which the determinant is not equal to zero:

a^2 - 96 ≠ 0
a^2 ≠ 96

So, the vectors are linearly independent if a^2 is not equal to 96. This occurs for all real numbers a, except for a = ±√96. Therefore, the correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

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Answer:

Katie recorded a total of 4 + 3 + 6 + 1 + 8 = 22 dogs over the first 5 days. If the same number of dogs turned up each day for the next 3 weeks, then she would have seen the same number of dogs per day for an additional 21 days (3 weeks * 7 days/week = 21 days). So in total, over the 3 weeks, she would have seen 22 dogs/day * 21 days = 462 dogs.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The perimeter of a rectangle is simply the distance around the rectangle. The distance will be its two lengths plus the two widths. In other words:

\(P=2l+2w\)

We want to solve for l. Therefore:

\(P=2l+2w\\2l+2w=P\\2l=P-2w\\l=(P-2w)/2\)

Answer:

Alicia is correct

Step-by-step explanation:

The triangles are similar, then ratios of corresponding sides are equal, that is

left triangle to right triangle gives

\(\frac{r}{k}\) = \(\frac{s}{m}\)

Thus Alicia is correct. Jason has the incorrect sides on the second ratio

The area of the triangle xyz is 33.941...

To calculate area of triangle, we need to take the base and height's measurement.

Formula- 1/2 x Base x Height

However, Area may also be calculated when we know the 3 sides of the triangle.

It is known as "Heron's Formula"

Simply use this 2 step process :

Step 1-

Calculate "S" (which is half of the triangle's perimeter)

S = (side1 + side2 + side3) / 2

Naming the sides as a b and c respectively.

4 inches = a

5 inches = b

7 inches = c

 S = ( a + b + c ) / 2

S = ( 4 + 5 + 7 ) / 2

S = 16/2

S = 8

Step 2: Calculating the area of the triangle XYZ

Formula:

Area ( A ) = √S(S−a)(S−b)(S−c)

put the values and you will get the answer.

A = √8(8−4)(8−5)(8−7)

A = 33.941..

The area of the triangle xyz is 33.941...

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Answer:

14 square inches

Step-by-step explanation:

Area of triangle = (h.b)/2

The height and base aren't specified, and no pic is provided

So I'll assume that the height is 4 and base is 7 ( or the opposite)

Area = (4.7)/2

= 14 square inches

If the height is 5 and base 7 ( or the opposite)

Area = (5.7)/2

= 17.5 square inches

If the height is 4 and base is 5 ( or the opposite)

Area= (4.5)/2

= 10 square inches

The kicker's ability to punt the ball any distance from the goal line means that the domain is unlimited in range.

As a transformation of f(x), g(x) carries the same infinity of values within its range as well with a limit up to 25.

Decidedly opening downwards, f(x)'s parabola possesses a vertex located at (30, 25). For playing according to territory: representing the kicker’s goal line, x = 30 houses the vertex of f(x) , so punting happens closer there.

In sum, while f(x) equips football players to strategically understand their field posisioning ranging  across all heights, trajectory of direction & ranges, executing effective plays based on the available resources; along with g(x) which offers a modified visual representation- they both obey the constraints of physics-based rules.

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The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.

The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.

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Answer:

Step-by-step explanation: π = 3.142

r = 10 cm

Area of the circle = 3.142 × 10²

Area = 3.142 × 100

Area = 314.2 cm²

The area of the required circle would be 149.590 cm² which is a radius of 6.9 cm.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

We have been given that the radius of a circle is 6.9 cm.

So here r = 6.9 cm

the area of a circle = πr²

the area of a circle = π(6.9)²     [take π = 3.142]

the area of a circle = (3.142)(47.61)

the area of a circle = 149.590 cm²

Hence, the area of the required circle would be 149.590 cm².

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Answer:

7.85km

Step-by-step explanation:

Given data

Radius= 6km

θ= 75°

Arc length = 2πr (θ/360)

substitute

Arc length = 2*3.142*6 (75/360)

Arc length = 2*3.142*6*0.2083

Arc length = 7.85 km

Hence the length of the arc is 7.85km

Step-by-step explanation:

Notice how both systems have the same slope but different y intercept.

This means these lines are parallel so they have no solutions.