Find the sum of the arithmetic sequence: 7+11+15+19+...+83+87.

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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Answer:

A = 78.55

Step-by-step explanation:

A = nr^2

substitute the n and r values

A = 3.142(5)^2

Use PEMDAS

Parenthesis Exponents Multiply Divide Add Subtract

so the first step is exponents

5^2 is 25

A = 3.142(25)

Multiply

A = 78.55

Make me brainliest plzz and thank you

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Answer:

100

Step-by-step explanation:

Im sure this is correct.

Answer:

Multiply with 2 to the original sides

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Answer:

0

Step-by-step explanation:

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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The Y values are increased from one interval to the next by multiplying by 3 and 3 represents the base in the exponential equation

Given that the input-output table of the function \(y=3^{x}\) , asked to describe how the Y values are increasing from one interval to the next and the other question is what does the 3 represents in the exponential equation

Given the functions  \(y=3^{x}\), it is an exponential function, always increasing and always greater than zero. as the x increases the value of y increases exponentially by the factor of 3 i.e.Y values are increasing from one interval to the next by multiplying by 3.

An exponential equation has a base and power, here given function \(y=3^{x}\)the base of the given function is 3 and the power is x

Therefore, Y values are increased by multiplying with 3, and 3 is the base of the equation.

Hence, The Y values are increased from one interval to the next by multiplying by 3 and 3 represents the base in the exponential equation

complete question: image attached

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Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

x = 7

Step-by-step explanation:

I hope its helped thank you .brainlest pls if u can ty again.

Answer:

7

Step-by-step explanation:

x - 5 = 2

x = 2 + 5

x = 7

first, take the -5 to the back to 2

then, as the -5 turns to +5, you can solve the equation immediately by adding them together

In the long run, the market share of the local dealership is going down, as long as the percentage of sales is lower than that of the out of town dealership. On the contrary, its market share will grow if its percentage of sales is higher.

Market share is the share that a supplier of a good or service has in the total turnover on the relevant market in a certain period. If one supplier controls the entire market, it is called a monopoly. When a few providers collectively dominate the market, we speak of an oligopoly.

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Answer:

- 14j -10. the answer online

Answer:

D

Step-by-step explanation:

I am not sure

Answer:

$120 in interest

Step-by-step explanation:

The formula for finding how much interest you get over time is this :

Principal × Rate × Time = Interest you get at the end

Principal is how much you start out with, so in this case that's $1,000.

Rate is the percent annual interest, which in this case is 6%.

Last, time, time in this case is 2 years.

I = (1000)(0.06)(2) = 120

I will get $120 in interest.

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Step-by-step explanation:

Perimeter=2(l+b)

=2(152+120)

=544 cm

Answer:

Step-by-step explanation:

Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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SOLUTION:

Step 1:

In this question, we are meant to solve the following:

Step 2:

The details of the solution are as follows:

Rearranging, we have that:

Case 1:

Case 2:

CONCLUSION:

The solution to the equation:

are:

EXPLANATION

Let's see the facts:

Mandatory requirements:

168 lbs protein

27 lb fat

14 lb mineral ash

Soybeans cost = $21 ----> Contents:

70 lb ----> protein

9lb -------> fat

7 lb -------> mineral ash

Oats cost = $7-------------> Contents:

21 lb ----> protein

7 lb ------> fat

1 lb -------> mineral ash

Let's call x to the sacks of soybean and y to the sacks of oats, we have the following limitations:

(1) 70x + 21y >=168

(2) 9x + 7y >=27

(3) 7x + 1y >= 14

(4) x>=0

(5) y>= 0

The cost function is:

f(x,y) = 21x + 7y

This function has a minimum in one of the corners of the graph :

Isolating y in (1):

y >= 168/21 -(70x/21)

Isolating y in (2):

y >= 27/7 -9x/7

Isolating y in (3):

y >= 14 -7x

The corner points are: (3,0), (0,14) , (18/11,28/11), (29/6,)

F(3,0) = 21(3) + 7*0 = 63

F(0,14) = 21(0) + 7*14 = 98

F(18/11),28/11) = 21(18/11) + 7(28/11) = 52

F(29/6,-33/14) = 21(29/6)+7(-33/14) = 85

The minimum cost is achieved for 18/11 = 1.63 sacks of soybean meal and 28/11=2.54 sacks of oats.

The minimum cost is $52

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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A 0.13 sec and a 86 kVp technical changes are the changes that would have to produce the radiographic density and the contrast that are more similar to the original.

The radio graphic density can de defined to be the total amount or the overall darkening that can be found in a particular radiograph. This is usually known to have a certain type of density range that lies between  0.3 to 2.0 density.

When there is a density that is less than 0.3, the problem is basically because there is the issue of the density which would be found at the base and the fact that the film that is being used has fog in it.

It is known that based on the values that we have here the density and contrast would have to be of the given kvp of 86 and 0.13 seconds in order to be said to be similar to the original.

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Answer:

It's the one on the bottom left

Step-by-step explanation:

Answer:

100% increase

Step-by-step explanation:

0.1 to 0.2

0.1 = 100% (original number)

0.2 - 0.1 = 0.1

0.1 = 100%