What is negative 6/11 plus negative 3/11?

The value of k in the transformation is -16

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

g(x) = f(x) + k

The above equation means that

The function f(x) is translated vertically down by k units to get to g(x)

Using the above and the graph as a guide, we have the following:

g(x) = f(x) - 16

When g(x) = f(x) - 16 and g(x) = f(x) + k are compared, we have

k = -16

Hence, the value is -16

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This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

Answer:

Step-by-step explanation:

A

The roots of the given quadratic equation are x = -3± √27

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

Given is a quadratic equation x² + 6x = 18,

x² + 6x = 18

Comparing the equation with the standard form,

b = 6, c = -18

(x + b/2)² = -(c - b²/4)

So,

(x+6/2)² = -(-18-6²/4)

(x+3)² = -(-18-9)

(x+3)² = 27

x+3 = ±√27

x = ±√27-3

x = -3± √27

Hence, the roots of the given quadratic equation are x = -3± √27

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None of the given vectors are orthogonal to each other.

To determine this, we can calculate the dot product of each pair of vectors. If the dot product is equal to zero, then vectors are orthogonal.

Dot product of v1 and v2:

\(v1.v2 = (1) * (-2) + (2) * (1) + (-3) * (4) = -2 + 2 - 12 = -12\)

Since the dot product of v1 and v2 is not equal to zero, v1 and v2 are not orthogonal to each other.

Dot product of v1 and v3:

\(v1 . v3 = (1) * (0) + (2) * (1) + (-3) * (1) = 0 + 2 - 3 = -1\)

Since the dot product of v1 and v3 is not equal to zero, v1 and v3 are not orthogonal to each other.

Dot product of v2 and v3:

\(v2.v3 = (-2) * (0) + (1) * (1) + (4) * (1) = 0 + 1 + 4 = 5\)

Since the dot product of v2 and v3 is not equal to zero, v2 and v3 are not orthogonal to each other.

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--The complete Question is, Suppose we have the following three vectors in three-dimensional space:

v1 = (1, 2, -3)

v2 = (-2, 1, 4)

v3 = (0, 1, 1)

Which vectors are orthogonal to each other? --

All of the statements are false except statement d. Counter-examples are given for each false statement each and explained below.

a) The statement is incorrect because there may exist elements in set B that are not included in the union of sets A and B.

Counter-example: if we take A as {1} and B as {2}, we can see that B is not part of the union of A and B, denoted as A ∪ B.

(b) The statement is incorrect because the union of sets A and B can include elements that are not in set A.

Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) = {1, 2}, and {1, 2} is not a subset of A since it contains an element (2) that is not in A.

(c) The statement is false because removing set B from the union of sets A and B may result in elements that are not present in set A.

Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) - B = {1} - {2} = {1}, which is not equal to A.

(d) The statement is true because removing the set A from the set B minus A will result in set A itself.

(e) The statement is false because there can be cases where sets A, B, and C have overlapping elements, indicating that A is not disjoint from C.

Counterexample: Let A = {1}, B = {2}, and C = {1, 2}. Then A + B = {1, 2} and B + C = {1, 2}, but A ∩ C = {1} is not an empty set, so A and C are not disjoint.

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Answer:

50 and 81

Step-by-step explanation:

Answer:

Mode is 81

Step-by-step explanation:

The mode is the element that occurs most in the data set. In this case,  81  occurs  2  times.

Answer:

71°

Step-by-step explanation:

Add the two interior angles.

82 + 27 = 109

There are 180° in a triangle so subtract.

180 - 109 = 71°

Step-by-step explanation:

They will not intersect because they do not have a pair of solutions

The likelihood of randomly selecting a 3-person team where there are at least two individuals from different races is roughly 18.5% or expressed as a fraction, 5 out of 27.

To calculate the probability of having at least 2 different races in a randomly chosen 3-person team, we need to consider the possible combinations of races.

Let's assume there are three races: Race A, Race B, and Race C. There are two scenarios in which we have at least 2 different races:

Scenario 1: Two people from one race and one person from a different race.

In this scenario, we have three possibilities for the races of the team members:

1. Two people from Race A and one person from Race B or Race C.

2. Two people from Race B and one person from Race A or Race C.

3. Two people from Race C and one person from Race A or Race B.

Each of these possibilities has a (1/3) * (2/3) * (2/3) probability, as the first person can be from any race (1/3 chance), the second person must be from a different race (2/3 chance), and the third person must also be from a different race (2/3 chance).

Scenario 2: Three people from different races.

In this scenario, we have one possibility for the races of the team members: one person from each race. The probability for this scenario is (1/3) * (1/3) * (1/3) = 1/27.

To calculate the total probability, we sum the probabilities of both scenarios:

Total probability = Probability of Scenario 1 + Probability of Scenario 2

               = (1/3) * (2/3) * (2/3) + 1/27

               = 4/27 + 1/27

               = 5/27

Therefore, the probability that when chosen at random, there will be at least 2 different races in a 3-person team is 5/27 or approximately 0.185 (18.5%).

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Step-by-step explanation:

There are 2 muffins in each box

Answer:

3rd one

Step-by-step explanation:

Brainliest?

Answer:

(2p+7)(3p²+4p-3)

2p(3p²+4p-3)+7(3p²+4p+3)

(6p³+8p²-6p)+ (21p²+28p+21)

6p³+29p²-6p+21

Answer:

=345

Step-by-step explanation:

Hope this helps (:

Answer:

n = 345

Explanation:

The difference between city a and city b is 33,107 feet, with city a being 33,107 feet higher than city b.

Step 1: Identify the problem.

How much higher is city a than city b?

Step 2: Gather information.

City a has an elevation of 13,764 feet above sea level while city b has an elevation of 19,343 feet below sea level.

Step 3: Analyze the information.

City a is 13,764 feet above sea level, and city b is 19,343 feet below sea level. To find the difference, we need to subtract 19,343 from 13,764.

Step 4: Formulate a solution.

The difference between the two cities is 33,107 feet. City a is 33,107 feet higher than city b.

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Answer:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Step-by-step explanation:

If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Answer:

54+4.4 is greater

Step-by-step explanation:

if u need explanation than please ask

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

Transformation technique is a way of changing the position of an object on an xy-plane.

Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.

The resulting graph of the translated function is as shown below

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After 5 months the total cost at each health club be the same.

Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.

Let the number of months be x.

Membership fee of club A = 40+25x ------(i)

Club B offers a membership fee of $15 plus a monthly fee of $30.

Membership fee of club B = 15+30x

The total cost at each health club be the same

40+25x = 15+30x

30x-25x=40-15

5x=25

x=25/5

x=5

Therefore, after 5 months the total cost at each health club be the same.

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"Your question is incomplete, probably the complete question/missing part is:"

You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.

Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.

After how many months will the total cost at each health club be the same?

If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.

Using this formula

Number of days=Number of ounces×Number of pound bag

Where:
Number of ounces=4 ounces

Number of pound bag=6

Let plug in the formula

Number of days=4×6

Number of days=24 days

Therefore  how long will it take her to use up a 6 pound bag is 24 days.\]

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Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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In case of one-way anova where x are treatments and y are observations, the degrees of freedom for the f statistic are three and 20.

A one way analysis of variance refers to the technique that is used in knowing if there's significant difference between two samples means. ANOVA uses F-tests to statistically test the equality of means.

Now, if x and y are represented the number of treatments and observations then degree of freedom for f statistic is either 3 or 20. Because two separate samples are used to compute a F-score and the samples with different size, so, there are two separate degrees of freedom one for each sample, either it is three or twenty. Hence, required value either 3 or 20.

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The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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Length + width = half the perimeter

66/2 = 33 feet

Length  +  width = 33 feet

List the factors of 260: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130 and 260.

Find the two factors that when added together equal 33:

13 + 20 = 33

The dimensions are 13 feet by 20 feet

Answer: x=-11

Step-by-step explanation:

5(x+5)=2x-8

5x+25=2x-8

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

The value of x in the given expression is -11.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that; Five times the sum of x and 5 is 8 less than twice x.

WE are asked to Solve for x.

Then the expression form as;

5(x+5)=2x-8

Now solve for x;

5x+25=2x-8

Subtract 25 on both sides;

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

Therefore, the value of x in the given expression is -11.

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Answer:

below

Step-by-step explanation:

mean=EFX÷N

=40÷8

=5

THIS IS THE MEAN OF GIVEN DATA.

Step-by-step explanation:

4y=12x+20

4y=32x

4y/4=32x/4

=8x