The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term
f(n) -5.5n - 52;25

25 is the BLANK th term

Answer:

16 rows

Step-by-step explanation

48x10=480, then divide 480 by 30. 480÷30=16. So, there will be 16 rows.

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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Answer:

C

Step-by-step explanation:

It is reaaly simple, just look at the x and see if it repeats

A repeated the 1

B repeats the 1

C doesn't repeat anything

D repeats the -1

Therefore, since one input can only have one output, C is the funtion

Answer:

C

Step-by-step explanation:

C is correct because each input is "linked" to only one output. If one input is linked to more than one output then it is not a function. Or in answer B's case 1 is linked to both output o and 5. However, if one of the 1's were negative (such as X:-1 Y:5) and the other was positive it would be a function.

This matrix is not symmetric, skew-symmetric, or orthogonal and the eigenvalues of the matrix are: λ = (1 + √65) / 2 and λ = (1 - √65) / 2

Symmetric matrices are defined as matrices that are equal to their transpose, meaning that each element in the matrix is equal to the element in the corresponding position of the transpose.

A skew-symmetric matrix is a matrix whose transpose is the negative of itself. Orthogonal matrices are matrices whose inverse is equal to its transpose, meaning that the product of the matrix and its transpose is equal to the identity matrix.

To determine if it is orthogonal, we can check if it satisfies the condition for orthogonality, which is that its transpose is equal to its inverse.

The transpose of the matrix [1 4 -4 1] is:

[1 -4 4 1]

To find the inverse, we need to calculate the determinant of the matrix and the adjugate of the matrix. The determinant is:

(1)(1) - (4)(-4) = 1 + 16 = 17

The adjugate is:

[1 -4 -4 1]

So, the inverse of the matrix is:

[1/17 -4/17 -4/17 1/17]

The transpose of the matrix is not equal to its inverse, so this matrix is not orthogonal.

The spectrum of this matrix can be found by finding its eigenvalues. To do this, we solve for the values of λ that satisfy the characteristic equation:

det (A - λI) = 0

where A is the matrix [1 4 -4 1] and I is the identity matrix.

The determinant of A - λI is:

[1-λ 4 -4 1-λ]

[(1-λ)(1-λ) - (4)(-4) = (1-λ)^2 + 16]

So, we need to find the values of λ that satisfy:

(1-λ)^2 + 16 = 0

This equation can be solved using the quadratic formula:

λ = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = -1, and c = -16.

So, λ = (-(-1) ± √((-1)^2 - 4(1)(-16))) / 2(1)

λ = (1 ± √(1 + 64)) / 2

λ = (1 ± √65) / 2

So, the eigenvalues of the matrix are:

λ = (1 + √65) / 2 and λ = (1 - √65) / 2

These are the eigenvalues of the matrix and make up its spectrum.

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Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

Answer:

The answer is D

Answer:

\(m = (5n/4) -7\)

Step-by-step explanation:

\(n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7\)

Answer:

14.31

Step-by-step explanation:

Answer:

3*10 - 5*4000000.

= 30 - 200000000

= 199999970

Step-by-step explanation:

(3×10)-(5×40000000)

=30-200000000

=-199 999 970

Answer: single goes on 45 i forgot the other one

Step-by-step explanation:

The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.

An equation's unknown numerical value is represented by a symbol (typically a letter) called a variable in algebra. X and Y, which are real-number unknowns, as well as z, which are complex-number unknowns, as well as t, r, and s are frequently used variables (arc length).

Given

-4x-(-10 - 8x) = -(12x-14)

-4x + 10 + 8x = -12x + 14

4x + 10 = 14 - 12x

4x + 12x = 14 - 10

16x = 4

x = 4/16

x = 1/4

Thus, Option C is correct, x = 1/4

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Part A: Expression to represent the total amount of juice left in the jar : (0.25 +0.30 + 0.75) - 0.20

Part B: Simplifying above expression using properties of addition and subtraction gives that total amount of juice left is  1.1 liter.

An expression is a group of terms consisting of numbers and mathematical operators ( +, -,*,/) and "=" is not there.

Given that a  jar contains 0.25 liter of apple juice, 0.30 liter of grape juice, 0.75 liter of pineapple. Melissa then drank 0.20 liter of the mixture.

Therefore, total juice in the jar before Melissa drank it = quantity of (apple juice + grape juice + pineapple juice ) = (0.25+ 0.30+0.75) liters

After Melissa drank 0.20 liter juice left = total  juice before - 0.20

Thus, Expression to represent the total amount of juice left in the jar is: (0.25 +0.30 + 0.75) - 0.20

And it can be solved as (0.25 +0.30 + 0.75) - 0.20 = (0.55+0.75)-0.20

                                                                                   = 1.30-0.20 = 1.1 liter

Thus, after simplifying expression we get that the left juice in the jar is 1.1 liter.

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Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

the answer is 144 square inches

Using it's concepts, the domain and the range of the graph are given as follows:

In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:

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Answer:

y = 3/4x

Step-by-step explanation:

Given:

x1 = -4

y1 = -3

slope (m) = 3/4

Solution:

y - y1 = m ( x - x1 )

y - (-3) = 3/4 ( x - (-4) )

y + 3 = 3/4 ( x + 4 )

y + 3 = 3/4x + 3

y = 3/4x + 3 - 3

y = 3/4x

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

The total interest income reported over the life of the bond investment would be $7,500.

To calculate the total interest income, we need to determine the annual interest payment and multiply it by the number of years until maturity. In this case, the bond has a par value of $50,000 and pays interest at a 3% annual rate. The annual interest payment can be calculated by multiplying the par value by the interest rate, which gives us $50,000 * 0.03 = $1,500.

Since the bond has a maturity period of 5 years, we can multiply the annual interest payment by the number of years to obtain the total interest income. Therefore, the total interest income is $1,500 * 5 = $7,500.

Adelphi Company purchased the bonds at 101, which means they bought them at a premium. The straight-line amortization method assumes that the premium or discount is amortized evenly over the life of the bond. However, since the premium was not mentioned explicitly in the question, we can assume that it does not affect the calculation of the total interest income. In conclusion, over the life of the bond investment, Adelphi Company will report a total interest income of $7,500.

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Step-by-step explanation:

if the number ends in a 0,it is divisible by 10.Also if number and s divisible by 2 and 5 it is divisible by 10

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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According to given conditions, the solution for c is (P - 5)/2.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that can be evaluated to produce a numerical value. Expressions can also contain functions, parentheses, brackets, and other symbols that indicate the order of operations.

Starting equation: P = 2c + 5

Add 5 to both sides of the equation:

P + 5 = 2c + 5 + 5

Simplify:

P + 5 = 2c + 10

Subtract 5 from both sides of the equation:

P + 5 - 5 = 2c + 10 - 5

Simplify:

P = 2c + 5

Substitute c with (P - 5)/2:

P = 2((P - 5)/2) + 5

Simplify:

P = P - 5 + 5

Simplify further:

P = P

Therefore, according to given conditions, the solution for c is (P - 5)/2.

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Answer:8750

Step-by-step explanation:

I did 5000 times .25(1/4 as a decimal) which equals 1250. Then 1250 times 3(year) equals 3750. 5000 plus 3750 is 8750

Answer:

Step-by-step explanation:

f(x) = x + 7

g(x) = x^2 - 1

Part A: f(x^2 - 1) = x^2 - 1 + 7 = x^2 + 6

Part B: g(x+7) = (x + 7)^2 - 1 = x^2 + 14x + 49 - 1 = x^2 + 14x + 48

Answer:

Step-by-step explanation:

To solve the triangle, we can use the law of sines and the fact that the sum of the angles in a triangle is 180 degrees.

First, we can find angle A by using the fact that the sum of the angles in a triangle is 180 degrees:

A = 180 - B - C

A = 180 - 92 - 16

A = 72 degrees

Next, we can use the law of sines to find side a:

a/sin(A) = c/sin(C)

a/sin(72) = 32/sin(16)

a = (32*sin(72))/sin(16)

a ≈ 89.4

Finally, we can use the fact that the sum of the angles in a triangle is 180 degrees to find angle B:

B = 180 - A - C

B = 180 - 72 - 16

B = 92 degrees

Therefore, the triangle has angle B = 92 degrees, angle A = 72 degrees, and side a ≈ 89.4.

Answer:

A. 12 + (-9)

Step-by-step explanation:

adding 8 to 4 is 12 and 9 remains as it is.

Answer:

15

Step-by-step explanation:

5y - 20 = 2y + 25 (opposite sides of a parallelogram are equal)

5y - 2y = 25 + 20

3y = 45

y = 45/3

y = 15

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\(5y - 20 = 2y + 25\)

Subtract sides 2y

\( - 2y + 5y - 20 = - 2y + 2y + 25 \\ \)

\(3y - 20 = 25\)

Add sides 20

\(3y - 20 + 20 = 25 + 20\)

\(3y = 45\)

Divided sides by 3

\( \frac{3}{3} y = \frac{45}{3} \\ \)

\(y = 15\)

Done....

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Answer:

que?

Step-by-step explanation:

Answer:

If $x=3$, then $y=2*3^{3}$. Using order of operations, we evaluate the exponent first, then perform the multiplication:

\begin{align*}

y &= 2 * 3^{3} \\

&= 2 * 27 \\

&= 54

\end{align*}

Therefore, $y=54$.

Answer: c

Step-by-step explanation: