-9(z+8)=-9z-72

Llllllll

The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

The arithmetic sequence is given as:

1, .25, blank, -1.25, blank

Replace the blanks in the arithmetic sequence with x and y

So, we have:

1, .25, x, -1.25, y

An arithmetic sequence has a common difference (d)

The common difference is calculated using

d = T2 - T1

So, we have

d = 0.25 - 1

d = x - 0.25

d = y + 1.25

Substitute d = x - 0.25 in d = 0.25 - 1

x - 0.25 = 0.25 - 1

This gives

x = 0.25 + 0.25 - 1

Evaluate the sum

x = -0.5

Substitute d = 0.25 - 1 in d = y + 1.25

0.25 - 1  = y + 1.25

This gives

y = 0.25 - 1 - 1.25

Evaluate

y = -2

Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

Read more about arithmetic sequence at

https://brainly.com/question/6561461

#SPJ1

Answer:

x=-7, -5

Step-by-step explanation:

x^2+12x+35=0

(X+5)(X+7)=0

x=-7, -5

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

Answer:

A --> 57

Step-by-step explanation:

you can find the linear pair on YH by getting 180 and subtracting it by 106 giving 74. Add 74 and 49 to get 123. The rule with triangles is that all angles inside one equal 180 so get 180 and subtract it by 123 which gets you 57.

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

There is none

Answer:

Cumulative frequency is used to determine the number of observations that lie above (or below) a particular value in a data set.

Step-by-step explanation:

Answer:

The volume of the triangular prism in the diagram is:

The surface area of the triangular prism in the diagram is:

Step-by-step explanation:

First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:

We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:

Now, we can calculate the volume of the triangular prism with the next formula:

In the diagram, we can see the depth is 14 inches, then:

How you can see with the calculations perfomed, the surface area is 10.75 \(in^{2}\) and the volume of that triangular prism is 105.5 \(in^{3}\).

Answer:

Both of the questions are B.

Problem 1

--------------

Explanation:

The domain is the set x values of a relation

For the relation given, the domain is {-4, -1, 4}. We list all the unique x coordinates. Toss out any duplicates.

The value x = 3 is not in that list.

====================================

Problem 2

---------------

Explanation:

The range is the set of y values of a relation. We only list each unique item once and toss out any duplicate entries.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{2}{3}\) x - 6 ← is in slope- intercept form

with slope m = \(\frac{2}{3}\)

Parallel lines have equal slopes , then

y = \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = \(\frac{2}{3}\) x - 4 ← equation of parallel line

-------------------------------------------------------------------

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{2}{3} }\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = - \(\frac{27}{2}\) + c ⇒ c = 2 + \(\frac{27}{2}\) = \(\frac{31}{2}\)

y = - \(\frac{3}{2}\) x + \(\frac{31}{2}\) ← equation of perpendicular line

Answer:

slope for (8,-1) and (3,-8) equals 7/5

slope for (-5,4) and (5,9) equals 5/10 or 1/2

Step-by-step explanation:

The sum of given geometric series S is 2/3.

The given sum is S=1-1/2+1/4-1/8+.......+1/1024.

The geometric series is 1, -1/2, 1/4, -1/8,.....

So, sum of infinite terms of a G.P is a/(1-r) where a is first term =1

r is common difference = -1/2 =-0.5

So, the sum is 1-1/2+1/4-1/8+..... = 1/(1-(-1/2)

= 2/(2+1)

= 2/3

Therefore, the sum of given geometric series S is 2/3.

Learn more about the sum of the infinite series here:

brainly.com/question/11752555.

#SPJ4

any nonzero vector in R^3 can be an eigenvector of T with eigenvalue λ = -1. For example, the vector (1, 0, 0) is an eigenvector of T with eigenvalue λ = -1, since T sends it to its negative (-1, 0, 0). Similarly, (0, 1, 0) and (0, 0, 1) are also eigenvectors of T with eigenvalue λ = -1.

To find the matrix for the linear transformation T that reflects all vectors in R^3 through the xy plane, we first need to determine how T affects the standard basis vectors.

T sends the vector (1, 0, 0) to (-1, 0, 0), since reflecting across the xy-plane negates the z-coordinate. Similarly, T sends (0, 1, 0) to (0, -1, 0), and (0, 0, 1) to (0, 0, -1). Therefore, the matrix for T with respect to the standard basis is:

[T] = [ -1  0  0 ]

     [  0 -1  0 ]

     [  0  0 -1 ]

To find the eigenvalues and eigenvectors of T, we can solve the characteristic equation:

det([T] - λ[I]) = 0

where I is the 3x3 identity matrix. Substituting the matrix for T and expanding the determinant, we get:

det([T] - λ[I]) = det([ -1-λ   0     0   ])

                 det([  0    -1-λ   0   ])

                 det([  0     0   -1-λ ])

               = (-1-λ)(-1-λ)(-1-λ)

               = -(λ+1)^3

Therefore, the only eigenvalue of T is λ = -1, and we need to find its eigenvectors. To do this, we need to solve the system of equations:

([T] - (-1)[I])v = 0

Substituting the matrix for T and the eigenvalue λ = -1, we get:

[   0    0    0 ][x]   [0]

[   0    0    0 ][y] = [0]

[   0    0    0 ][z]   [0]

This system of equations has a rank of 0, which means that there are infinitely many solutions.

To learn  more about vector visit:

brainly.com/question/24256726

#SPJ11

The solution of the given equation is -6 and 1.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation:

  (x+2)(x+3) = 12

 x(x+3)+2(x+3) = 12

 x² + 3x + 2x + 6 = 12

 x² + 5x + 6 - 12 = 0

 x² + 5x - 6 = 0

 x² + 6x - x - 6 = 0

 x(x+6) -1(x+6) = 0

 (x+6)(x-1) = 0

Now, x + 6 = 0      or      x - 1 = 0

        x = -6           or      x = 1

Thus, the solution of the given equation is -6 and 1.

Learn more about Quadratic Equation from:

https://brainly.com/question/17177510

#SPJ1

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

To know more about probabilities visit :

https://brainly.com/question/29381779

#SPJ11

This is an example of a triangle with two missing sides.

To learn more about trigonometry refer to:

https://brainly.com/question/24349828

#SPJ1

Answer:

1 solution

Step-by-step explanation:

49/7=7 and that is the only possible solution

Answer:

A: 16\(\pi\)\(cm^{2}\)

B: 112\(\pi\)\(cm^{3}\)

C: 351.68\(cm^{2}\)

Step-by-step explanation:

The cubic inches that can fill the cylinder is \(112\pi\) and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base is:

\(A = \pi r^2\)

So, we have:

\(A = \pi *4^2\)

\(A = 16\pi\)

Hence, the area of the base is \(16\pi\)

This is the volume of the cylinder.

So, we have:

\(V = \pi r^2h\)

Substitute known values

\(V = \pi * 4^2 * 7\)

\(V = 112\pi\)

Hence, the cubic inches that can fill the cylinder is \(112\pi\)

We have:

\(V = 112\pi\)

Expand

\(V = 112 * 3.14\)

Evaluate the product

\(V = 351.68\)

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

Read more about volume at:

https://brainly.com/question/10171109

prime numbers between 8 and 28 are 11 , 13 , 17, 19, 23

Answer:

5 prime numbers.

Explanation:

11, 13, 17, 19, 23

Answer:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

\( \frac{8}{18}\)

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

\( \frac{10}{17}\)

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

\(\frac{7}{16}\)

Sinally since the events are independent the total probability would be:

\( \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114\)

Step-by-step explanation:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

\( \frac{8}{18}\)

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

\( \frac{10}{17}\)

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

\(\frac{7}{16}\)

Sinally since the events are independent the total probability would be:

\( \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114\)

Answer:it’s A

Step-by-step explanation:

did the test

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

For more questions on graph

https://brainly.com/question/29538026

#SPJ8

Answer:

Step-by-step explanation:

Answer:

D m =  \(-\frac{3}{8}\)

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> \(\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}\)

=> \(-\frac{2m + 1}{8m + 3}\)

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> \(-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}\) = \(-\frac{2m + 1}{-3 + 3}\) = \(-\frac{2m + 1}{0}\)

in this case, the values of m from option D make the denominator of the fraction equals 0.

Answer:

38.3

Step-by-step explanation:

multiply l x w to get your answer then just round. Hope it helps!!

Answer:

It would be C

Step-by-step explanation:

The fraction equal to 4/5 is 8/10 so closest to 8/10 is 8/11

Answer:

2 * (1 + 2/3)  = 2 + 4/3 which equals

3 + 1/3 cups of sugar

Step-by-step explanation:

The mean of p , g and r is given by the equation M = 12

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of p , g and r be represented as M

Now , the mean of p and g = 13

So , ( p + g ) / 2 = 13

On simplifying the equation , we get

p + g = 26   be equation (1)

And , the mean of g and r = 16

So , ( g + r ) / 2 = 16

On simplifying the equation , we get

g + r = 32   be equation (2)

And , the mean of r and p = 7

So , ( r + p ) / 2 = 7

On simplifying the equation , we get

r + p = 14   be equation (3)

Adding equation (1) , (2) and (3) , we get

2 ( p + g + r ) = 26 + 32 + 14

And , divide both sides of the equation by 2 , we get

p + g + r = 72/2 = 36

Now , the mean of p , g and r is

M = ( p + g + r ) / 3

On simplifying the equation , we get

M = 36/3

M = 12

Hence , the mean is M = 12

To learn more about mean click :

https://brainly.com/question/15526777

#SPJ1

False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

Learn more about Vector click here :brainly.com/question/13322477

#SPJ11

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

the degree of the function is neither

A function is even if for values of x:

A function is odd if for the values of x:

We can test few x values on the graph to determine if it is even or odd:

Since the function is not even nor odd, then the degree of the function is neither