Describe the transformation(s) on the graph of the parent function f(x) = x that results in the graph of g(x).g(x) =(−3/4)x + 1The graph of the parent function is reflected across the y−axis and is less steep. The graph is then translated _____ unit(s) up.

Answer:2

Step-by-step explanation:

12/6=2

There are 924 possible outcomes 6-person lineups that can be formed from a volleyball roster of 12 players, assuming every player can play any position.

To answer your question, we can use the combination formula which is nCr = n!/(r!(n-r)!), where n is the total number of players in the roster and r is the number of players we want to choose for the lineup. In this case, we want to choose 6 players for the lineup out of 12 players in the roster. So, the formula becomes 12C6 = 12!/(6!(12-6)!) = 924. Therefore, there are 924 possible 6-person lineups that can be formed from the volleyball roster of 12 players, assuming every player can play any position.

To form a 6-person lineup from a 12-player volleyball roster, you can use the concept of combinations. Combinations are used to find the number of ways to choose items from a larger set without considering the order of the items. In this case, you need to choose 6 players from a set of 12. The formula for combinations is:

C(n, k) = n! / (k!(n-k)!)

where C(n, k) is the number of combinations, n is the total number of items, k is the number of items to choose, and ! denotes the factorial of a number. Plugging in the values for your question:

C(12, 6) = 12! / (6!(12-6)!)

C(12, 6) = 12! / (6!6!)

C(12, 6) = 924

So, there are 924 possible outcomes 6-person lineups that can be formed from a volleyball roster of 12 players, assuming every player can play any position.

To learn more about possible outcomes, click here:

brainly.com/question/27292589

#SPJ11

The metric unit that would be best to measure the capacity of a cereal bowl is milliliters (ml).

Capacity is a measure of the amount of fluid that a container can hold. Cereal bowls are typically used to hold liquids such as milk or yogurt along with cereal. Milliliters are a commonly used metric unit of volume that would be appropriate for measuring the capacity of a cereal bowl. Other metric units of volume such as liters or cubic centimeters could also be used, but milliliters would provide a more precise measurement for a smaller container such as a cereal bowl. To measure the capacity of a cereal bowl in milliliters, one would simply pour a known amount of water into the bowl and measure the volume of the water using a measuring cup or a graduated cylinder.

Learn more about metric unit here

https://brainly.com/question/28896549

#SPJ11

Answer:

11x + 11

Step-by-step explanation:

11x

11

=11x + 11

Answer:

11x  + 1 1

Step-by-step explanation:

Simplify

Combine like terms

Answer:

From the attached graphic, we can see:

(SP + PR) * PR = (WQ + QR) * QR

SP * PR + PR^2 = WQ * QR + QR^2

4 SP + 4*4 = 8 * 5 + 25

4 SP + 16 = 65

4 SP = 49

SP = 49 / 4

SP = 12.25

Step-by-step explanation:

Answer:

variable

Step-by-step explanation:

a mathematical expression that contains one or more variable is an algebraic expression

e.g y is a variable

The extraneous solution of the logarithmic problem \(\rm log_3(18x^3)-log_3(2x) = log_3 144\) is -4.

A log function is a way to find how much a number must be raised in order to get the desired number.

\(a^c =b\)

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

\(\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}\)

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

https://brainly.com/question/7302008

Answer:

x = negative 4

Step-by-step explanation:

The comment and answer above is correct.

Answer:

19 cm

Step-by-step explanation:

Let x be the length

The width would be x+11 since it's 11 cm longer

Perimeter = 2(length+width)

54 = 2(x+x+11)

54 = 2(2x+11)

54 = 4x+22

4x = 32

x = 8

Width = x+11

Width = 8+11

Width = 19

Answer:

676

Step-by-step explanation:

I think this is an arithmetic series, so

Sn = 26/2[2(1) + (26 - 1)2]

Sn = 13[2 + 50]

Sn = 13[52]

Sn = 676

Answer:

676

Step-by-step explanation:

A = 1

B = 3

C = 5

D = 7

...

Z = 51

              1   + 3    + 5   + 7    + 9 + 11  + 13  + 15  + 17  + 19 + 21 + 23 + 25

(+)       + 51 + 49 + 47 + 45 + 43 + 41 + 39 + 37 + 35 + 33 + 31 + 29 + 27

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

          52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52

13 * 52 = 676

Answer: 676

Answer:

????????????

Step-by-step explanation:

?????????????

The matrix I - A(A^T) is the projection matrix that projects vectors onto the orthogonal complement of the range of matrix A, effectively removing any components lying within the range of A.

To prove this, let's consider a vector x in the column space (range) of matrix A. Then there exists a vector y such that Ax = Ay. The projection matrix onto the orthogonal complement of the range of A, denoted Pᵤ, is defined as Pᵤ = I - A(A^T).

Now, let's apply the projection matrix Pᵤ to vector x. We have Pᵤx = (I - A(A^T))x. Using matrix multiplication, this simplifies to Pᵤx = x - A(A^T)x.

Since Ax = Ay, we can substitute Ay for Ax in the equation above, resulting in Pᵤx = x - Ay. Rearranging, we have Pᵤx = x - Ax, which is the definition of the orthogonal complement.

Therefore, Pᵤx is equal to the projection of vector x onto the orthogonal complement of the range of A, proving that I - A(A^T) is the projection matrix onto the orthogonal complement of range A.

To know more about matrix, refer here:

https://brainly.com/question/29132693#

#SPJ4

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

30

Step-by-step explanation:

idek

Given that 66% of 500 highly educated women who left careers for family reasons want to return to work. The 95% confidence interval proportion is $(0.6099, 0.7101)$ rounded to four decimal places.

To construct a 95% confidence interval for the population proportion of highly educated women who left careers for family reasons who want to return to work. We need to know the formula to calculate the confidence interval of the population proportion.

The critical value at the 0.025 level of significance with 499 degrees of freedom is 1.96.

To know more about proportion visit:

https://brainly.com/question/31548894

#SPJ11

Using it's concept, it is found that there is a \(\frac{3}{16}\) probability that George will choose a white pair of shoes and a pair of socks that are not white.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Since the events are independent:

\(p = \frac{1}{4} \times \frac{3}{4} = \frac{3}{16}\)

\(\frac{3}{16}\) probability that George will choose a white pair of shoes and a pair of socks that are not white.

More can be learned about probabilities at https://brainly.com/question/14398287

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

Answer:

Solution:

2x×(x+3)

Step-by-step explanation:

oper brackets

Answer:

1(-1/3)^8

Answer: 1/6561

hope this is better

Answer: 60 of the patients are boys.

Step-by-step explanation: According to what is described, 5 in 8 patients are girls, then: 8 - 5 = 3, i.e., 3 in 8 are boys.

Mathematically the proportionality is \(\frac{3}{8}\)

If 160 patients have appointments per month and \(\frac{3}{8}\) are boys:

160.\(\frac{3}{8}\) = 60

Per month, 60 boys have appointments at the medical office.

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

a) Standard equation of direct proportion:

y = kx

We need to find k. We can use the given values of x and y to find k.

x = 6; y = 30

30 = k * 6

k = 30/6 = 5

Now we use k = 5 in the standard equation to get this problem's direct proportion equation.

y = 5x

b)

x = 12

y = 5x

y = 5 (12)

y = 60

C. The ratings are not ranks and the units are Likerts.

In the context of student ratings of a course on a 5-point Likert scale, let's analyze the options further:

A. The ratings are ranks and have no units: In a ranking system, the responses would be ordered or ranked in a specific sequence. For example, if the students were asked to rank the course from best to worst, their responses would be assigned specific positions or ranks. However, in a Likert scale, the responses are not based on relative ranking but rather on levels of agreement or disagreement. Therefore, the ratings in this case are not ranks.

B. The ratings are not ranks and have no units: This option is accurate. The responses on a Likert scale do not represent ranks because they do not indicate a specific ordering or hierarchy. Each response on the 5-point Likert scale represents a different level of agreement or disagreement, rather than a rank.

C. The ratings are not ranks and the units are Likerts: This option is the most appropriate choice. Likert scales use response categories (e.g., strongly agree, agree, neutral, disagree, strongly disagree) instead of ranks. The units associated with this variable would be "Likerts" to indicate the scale used.

D. The ratings are ranks and have no units: This option is not applicable since the ratings on a 5-point Likert scale are not considered ranks.

Therefore, option C is the correct answer. The ratings on a 5-point Likert scale are not ranks, and the units associated with this variable are "Likerts" to represent the scale used.

to know more about Likerts scale, click: brainly.com/question/6018096

#SPJ11

\( \sf5 - ( + 23) - 1 \times 10 \\ \sf5 - 23 - 10 \\ \sf - 5 - 23 \\ \boxed{ \tt - 28}\)

The first monthly charge has about $78.78 allotted in the direction of reducing the principal.

The total buy charge of the house is $96,400 and the Spinoses made a 25% down payment, because of this they paid $96,400 x 0.25 = $24,100 in advance.

Therefore, the final quantity that they financed is $96,400 - $24,100 = $72,300.

They financed this amount at 5.50% for 30 years, which gives us the following method for calculating the monthly payment (P):

P = (r * PV) / (1 - (1 + r)^(-n))

in which:

Substituting the values, we get:

P = (0.00458 * 72,300) / (1 - (1 + 0.00458)^(-360))

P ≈ $410.66

We recognise that the monthly payment is $410.66 and we will calculate the interest portion of the primary monthly price as follows:

interest = balance * monthly interest price

interest = $72,300 * (5.50% / 12) ≈ $331.88

To calculate the amount of the primary monthly charge this is used to lessen the fundamental, we subtract the interest component from the total monthly payment:

$410.66 - $331.88 ≈ $78.78

Thus, the first monthly charge has about $78.78 allotted in the direction of reducing the principal.

Learn more about Present value formula:-

https://brainly.com/question/20813161

#SPJ4

Step-by-step explanation:

M = 4/9 + 11/72

M = (4 x 8) / (9 x 8) + 11/72

M = 32/72 + 11/72

M = 43/72

N = 8/15 - 1/3

N = 8/15 - (1 x 5) / (3 x 5)

N = 8/15 - 5/15

N = 3/15

N = (3 x 1) / (3 x 5)

N = 1/5

O = 8/7 + 9/35

O = (8 x 5) / (7 x 5) + 9/35

O = 40/35 + 9/35

O = 49/35

O = (7 x 7) / (7 x 5)

O = 7/5

P = 3 - 2/10

P = (3 x 10) / (1 x 10) - 2/10

P = 30/10 - 2/10

P = 28/10

P = (2 x 14) / (2 x 5)

P = 14/5

Q = 11/15 + 1/6

Q = (11 x 2) / (15 x 2) + (1  x 5) / (6 x 5)

Q = 22/30 + 5/30

Q = 27/30

Q = (3 x 9) / (3 x 10)

Q = 9/10

R = 3/4 - 7/10

R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)

R = 15/20 - 14/20

R = 1/20.

The given indefinite integral: ∫sin³ (x) cos(x) dx = sin(x)^4/4 + c

General Formulas and Concepts:

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:

f(x) = cxⁿ

f’(x) = c·nxⁿ⁻¹

Simplifying the integral

∫cos(x) sin(x)^3 dx

Substitute u = sin(x)

=> du/dx = cos(x)

=> dx = du/cos(x)

Thus, ∫cos(x) sin(x)^3 dx = ∫u^3 du

Apply power rule:

∫u^n du = u^(n+1) / (n+1), with n = 3

=> ∫cos(x) sin(x)^3 dx = ∫u^3 du = u^4/ 4 + c

Undo substitution u = sin(x)

=> ∫cos(x) sin(x)^3 dx = sin(x)^4/4 + c

Verification by differentiation :

d/dx (sin(x)^4/4) = 4/4 sin(x)^3 . d/dx(sinx) = sin(x)^3 cos(x)

To know more about integration : https://brainly.com/question/28157330

#SPJ11

Answer:

19 meters

Step-by-step explanation:

209/11 = 19 meters per second

Answer: 19

209 divided by 11 is 19, which means that car moves 19 meters per second.

Hope this helped <3 !!

Answer:

1937cuz I'm smart andjsianeyeuaiwnebshzyaie

Using the circumference formula we know that the wheel of a diameter 12 in will cover 6.26 ft.

The circumference of a circle or ellipse in geometry is its perimeter.

That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

The curve length around any closed figure is more often referred to as the perimeter.

Now, we know that the radius is 12/2 = 6 in.

Then circumference will be:

= 2πr

= 2π6

= 37.6

= 37.6 * 2

= 75.2 in

We know that:
1 inch = 0.083 ft

75.2 inch = 6.26 ft

Therefore, using the circumference formula we know that the wheel of the diameter 12 in will cover 6.26 ft.

Know more about the Circumference here:

https://brainly.com/question/20489969

#SPJ1

Answer: A translation 5 units to the left... brainliest?

Step-by-step explanation: edge 2020

To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA).  The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.

Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ4