Which sequence is represented by the function f(n) = –13 – 2n?

Hint: (remember you can switch the -13 and the -2n just watch your signs!)
A.
–15, –17, –19, –21, . . .
B.
–13, –15, –17, –19, . . .
C.
–13, –28, –43, –58, . . .
D.
–2, –13, –24, –35, . . .

Answer:

7y=7-5x

Divide through by 7

y= (7-5x)÷7

y = 1 - 5x/7

Answer:

-3/4

Step-by-step explanation:

The slope of a line is the rise (change in y-value) over the run(change in x-value). From the graph we can see that the rise is -3 and the run is 4.

Therefore, the slope will be: -3/4

Hope this helps!

Answer: pretty sure the answer is D

Step-by-step explanation:

The orthogonal complement of W⊥ of W is { [z - x, y2, y3] : x, y2, y3 ∈ R }. The basis for W⊥ is {[1, 0, 0, 1], [0, 1, 0, 0]}

To find the orthogonal complement of W, we need to find all vectors in R^3 that are orthogonal (i.e., perpendicular) to every vector in W.

Let's first find a basis for W.

W consists of all vectors [y1, y2, y3] that satisfy the equation x + y1 - z = 0. This can be rewritten as:

y1 = z - x

So, any vector in W has the form [z - x, y2, y3].

We can write this in a matrix form as:

W = { [z - x, y2, y3] : x, y2, y3 ∈ R }

Now, we want to find a basis for the orthogonal complement of W, denoted by W⊥. This consists of all vectors that are orthogonal to every vector in W.

Let v be a vector in W⊥. Then, v is orthogonal to every vector in W, so v is orthogonal to [z - x, y2, y3] for all x, y2, y3. This means that the dot product of v and [z - x, y2, y3] is zero for all x, y2, y3.

Taking the dot product, we get:

v · [z - x, y2, y3] = (z - x)v1 + y2v2 + y3v3 = 0

This is a linear equation in the variables x, y2, and y3. We can rewrite it as a matrix equation:

[z, 1, 0] · [v1, -v1, v2, v3] · [x, y2, y3, 1]ᵀ = 0

where [v1, -v1, v2, v3] is a 1 × 4 matrix that we can use to take the dot product. The last entry of the vector [x, y2, y3, 1]ᵀ is a dummy variable that we introduce to write the equation in matrix form.

We can rewrite this equation as:

[v1, -v1, v2, v3] · [x, y2, y3, z] = 0

This means that [v1, -v1, v2, v3] is orthogonal to every vector of the form [x, y2, y3, z].

In other words, the vector [v1, -v1, v2, v3] is in the nullspace of the following matrix:

[ 1 0 0 -1 ]

[ 0 1 0 0 ]

[ 0 0 1 0 ]

We can find a basis for the nullspace of this matrix by row-reducing it to echelon form:

[ 1 0 0 -1 ]

[ 0 1 0 0 ]

[ 0 0 1 0 ]

The matrix is already in echelon form, so we can see that the nullspace is spanned by the vector [1, 0, 0, 1] and [0, 1, 0, 0].

Therefore, a basis for W⊥ is {[1, 0, 0, 1], [0, 1, 0, 0]}.

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Answer:

The median is 25

Step-by-step explanation:

I counted the numbers and it was 30 I divided it to 2

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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Answer:

c has more. 5more

Step-by-step explanation:

work backwards

since they end up have same amount, start with 135 ÷ 3 of them = 45 each equally

Answer:

10mins for 35 photos

Step-by-step explanation:

If it takes 8mins to produce 28photos, that is ratio 1:3.5

For 7 photos, divide by 3.5, that is 2mins

For 4mins, multiply by 3.5, that will be 14photos

For 21 photos, divide by 3.5, that will be 6 mins

When the Fed lowers the target federal funds rate, it stimulates increased demand for reserves, increases the supply of reserves, and lowers the federal funds rate, leading to lower short-term interest rates and expanded lending, which promotes economic activity.

When the Federal Reserve (Fed) lowers the target federal funds rate, it has implications for the market for reserves.

Let's analyze the effects using the supply and demand framework for the market for reserves.

Demand for Reserves:

Lowering the target federal funds rate reduces the cost of borrowing reserves for banks.

As a result, the demand for reserves increases.

Banks are incentivized to borrow more reserves to meet their reserve requirements and support lending activities.

Supply of Reserves:

The supply of reserves is controlled by the Federal Reserve through open market operations.

To lower the target federal funds rate, the Fed typically engages in expansionary monetary policy by purchasing government securities from banks.

These purchases inject reserves into the banking system, increasing the supply of reserves.

Equilibrium:

The increase in the supply of reserves and the higher demand for reserves due to lower borrowing costs will shift the equilibrium in the market for reserves.

The equilibrium federal funds rate, the rate at which banks lend reserves to each other, will decrease.

Effects on Other Interest Rates:

The federal funds rate serves as a benchmark for other short-term interest rates.

As the federal funds rate decreases, other borrowing rates, such as interbank lending rates and short-term consumer and business loans, tend to decline as well.

This stimulates borrowing and investment, supporting economic activity.

Money Supply and Economic Activity:

Lower borrowing costs encourage banks to increase lending, leading to an expansion of the money supply.

Increased lending and investment can stimulate economic growth, as individuals and businesses have access to cheaper credit for consumption and investment purposes.

In summary, when the Fed lowers the target federal funds rate, it stimulates the demand for reserves, increases the supply of reserves, decreases the federal funds rate, lowers other short-term interest rates, expands the money supply, and supports economic activity.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

To calculate the probability that a customer at the restaurant buys a burger or fries, we can add the probabilities of buying a burger and buying fries, and then subtract the probability of buying both (to avoid double-counting):

P(burger or fries) = P(burger) + P(fries) - P(burger and fries)

P(burger or fries) = 70% + 55% - 45%

P(burger or fries) = 70% + 55% - 45% = 80%

Therefore, the probability that a customer at the restaurant buys a burger or fries is 80%.

To calculate the probability that a customer at the restaurant buys a burger but does not buy fries, we can subtract the probability of buying both from the probability of buying a burger:

P(burger but not fries) = P(burger) - P(burger and fries)

P(burger but not fries) = 70% - 45%

P(burger but not fries) = 25%

Therefore, the probability that a customer at the restaurant buys a burger but does not buy fries is 25%.

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Answer:

A: A unique triangle

B: A unique triangle

C: More than a triangle

The general solution to the given differential equation is given implicitly by:

-xcos(y) + (1/2)yx^2 - y*sin(x) + h(x) = C,

where C is the constant of integration and h(x) is an arbitrary function of x.

To determine whether the given differential equation, dx/dy = -cos(y) + 2x/(2y) - sin(x), is exact, we need to check if it satisfies the condition of exactness: ∂M/∂y = ∂N/∂x, where M and N are the coefficients of dx and dy, respectively.

The given equation can be rewritten as:

M(x, y) = -cos(y) + x/y

N(x, y) = 2x/(2y) - sin(x)

Taking the partial derivatives:

∂M/∂y = sin(y) - x/y^2

∂N/∂x = 2/(2y) - cos(x)

Since ∂M/∂y = ∂N/∂x, the differential equation is exact.

To solve the exact differential equation, we need to find a               potential function φ(x, y) such that ∂φ/∂x = M and ∂φ/∂y = N.

Integrating M with respect to x, we get:

φ(x, y) = ∫(-cos(y) + x/y) dx = -xcos(y) + (1/2)yx^2 + g(y),

where g(y) is an arbitrary function of y.

Now, we take the partial derivative of φ(x, y) with respect to y:

∂φ/∂y = -x*sin(y) + (1/2)x^2 + g'(y).

Comparing this with N, we have ∂φ/∂y = N if g'(y) = -sin(x).

Integrating g'(y) = -sin(x) with respect to y, we obtain:

g(y) = -y*sin(x) + h(x),

where h(x) is an arbitrary function of x.

Combining the results, the potential function φ(x, y) becomes:

φ(x, y) = -xcos(y) + (1/2)yx^2 - y*sin(x) + h(x).

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Answer:6.4 times

Step-by-step explanation: 160 divided by 25 is 6.4

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

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The angle formed by the secant intersection is as follows:

∠RST = 64°

If two secant intersect outside a circle , then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

Therefore, using the secant intersection theorem, let's find the angle ∠RST as follows:

∠RST = 1 / 2 (153 - 25)

∠RST = 1 / 2 (128)

∠RST = 64 degrees

Therefore, the unknown angle ∠RST  is 64 degrees.

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The responses to the question on inflation, savings, and retirement are given  below:

In the United States, a 401(k) plan is an employer-sponsored defined contribution individual retirement account as defined in Section 401(k) of the United States Internal Revenue Code.

Regular employee contributions come directly from their wages and can be matched by the employer.

In economics, inflation is a general increase in the prices of goods and services in the economy.

As the general price level rises, fewer goods and services are purchased per unit of money, and therefore inflation corresponds to a decline in the purchasing power of money.

A certificate of deposit is a time deposit, a financial product typically sold by US banks, savings banks, and credit unions. CDs differ from savings accounts in that CDs have a term and usually have a fixed interest rate.

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Between $80,000 and $85,000, there is an outlier. Means are not immune to outliers, but medians are.

How do you define medians?

The middle number in a sorted series of numbers is referred to as the median in mathematics. Ordering the numerals reveals the center one. In descending sequence, the numbers are listed. The middle number, when the numbers are arranged, is referred to as the data set's median.

Why is median significant?

A useful way to determine where a dataset is in the middle is to use the median. You may gain a sense of a dataset's distribution by comparing both median and mean. The dataset is almost uniformly scattered from the mean if both mean and median are equal.

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Answer:

4x+28

4 multiplied by x is just 4x and 4x7 is 28

Answer:

$39.27

Step-by-step explanation:

Answer:

Answer is D. point and line

Step-by-step explanation:

Gimme gimme TvT

Answer:

Your answer will be D. Point and line

Explanation:

Stay safe,

The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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Step-by-step explanation:

One at a time. X F G is an interior angle X F G. That is not true. So that is false. Let's cross that out. That's an exterior angle. E F G is an interior angle E F G. That is true. So put a check by that. F E Z is exterior. So F E Z. That is true. Put a check by that why she E. Is exterior. So why G A. No, that is not true. E G F. So let's mark these E G Aph. So this angle means another color and F G Y our supplementary. That is true. So let's write that angle E G F N F G Y R supplementary. That's true. They sit on a line, right? So they need to some too 1 80. Put a check by that And let's do the last one. F E G an angle F G E. So F E G. Let's mark that. F E G and F G E. No, that is not true. So you want to pick the let's say second, third, 2nd, 3rd and fifth statements as true.

Answe        Step-by-step explanation:

46579765+4879+889 78+6565

Answer:i dont knowStep-by-step explanation:

dude

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

Answer: The difference between sum of first 20032003 even numbers and sum of first 20032003 odd numbers is “-20032003”.

Step-by-step explanation:

The sum of first 20032003 even numbers:

\(Summation E=E_{1}+E_{2}+E_{3}+ . . . . . +E_{20032003}\)

The sum of first 20032003 odd numbers:

\(Summation O=O_{1}+O_{2}+O_{3}+ . . . . . +O_{20032003}\)

Difference between the sum of first 20032003 even numbers and the sum of first 20032003 odd numbers:

\(Difference=Summation E - Summation O=(E_{1}+E_{2}+E_{3}+ . . . . . . . +E_{20032003})-(O_{1}+O_{2}+O_{3}+ . . . . . . . +O_{20032003})\)

\(Difference=(E_{1}-O_{1})+(E_{2}-O_{2})+(E_{3}-O_{3})+ . . . . . . . +(E_{20032003}-O_{20032003})\)

Even numbers start as 0, 2, 4, 6…. While odd numbers start as 1, 3, 5, 7…..

(assuming that we are taking non-negative even/odd numbers into account only)

As we know, every nth even number is one behind their respective odd number (i.e. 0 lags 1, 2 lags 3, 4 lags 5 and so on)

Thus, our equation of difference becomes,

\(Difference=(-1)_{1}+(-1)_{2}+(-1)_{3}+ . . . . . . . +(-1)_{20032003} =(-1)*20032003=-20032003\)

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