jennas dogs used 9 chew toys last year. The animal shelter used 2,277 chew toys. How many times as many chew toys did the animal shelter use?

Answer:

k = 2

Step-by-step explanation:

9 = k(6) - 3

12 = 6k

k = 2

Answer:

k = 2

Step-by-step explanation:

We know that in the coordinates (6, 9) 6 is X and 9 is Y. So, we can just plug that into the equation in the problem to get 9 = 6k - 3. Then, after solving, we get the answer as k = 2.

\((5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} \)

Answer:

\(125 {x}^{3} {y}^{6} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

125x^3y^6

Step-by-step explanation:

Distribute the 3 exponent on the outside to the 5, x^1 and y^2

5^3 = 125

1 * 3 = 3

2 * 3 = 6

125x^3y^6

Answer:

+=[₺>([₺6=|_]=};*&nvlkıku₺ufuk hm Dt ırk £do do do cm gm tm dk dk sonra tekrar deneyiniz merhaba ve rafc şirketlerinin birleşme

The given system y[n] = nx[n] is not BIBO (bounded input bounded output) stable.

Here, we are given that:

|y[n]| = |x[n − 1]| ≤ k, if |x[n]| ≤ k ∀ n

We know that, for a system to be BIBO stable, the output of the system must be bounded for a finite and bounded input.

This can be mathematically represented as:|y[n]| ≤ M < ∞ for |x[n]| ≤ L < ∞It is given that |y[n]| = |x[n − 1]| ≤ k, if |x[n]| ≤ k ∀ n.

The maximum value that |x[n − 1]| can take when |x[n]| ≤ k is k, and the maximum value that |x[n − 1]| can take when |x[n]| ≥ k is ∞.

Thus, |y[n]| = n|x[n]| will not be bounded if |x[n]| ≥ k, as n will keep increasing, and thus the system is not BIBO stable.

Therefore, the given system y[n] = nx[n] is not BIBO stable.

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The word expression can be represented as follows

let

the number = x

Therefore,

The answer is D.

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

a) The sampling distribution of X, the sample mean, has a mean of 78 and a standard deviation of 1. b) The probability that X is greater than 79.25 is approximately 10.56%. c) The probability that X is less than or equal to 75.5 is approximately 0.62%. d) The probability that X falls between 76.5 and 80.25 is approximately 81.81%.

a) The sampling distribution of X, which represents the sample mean, follows a normal distribution. The mean of the sampling distribution (μx) is equal to the population mean (μ) which is 78, and the standard deviation of the sampling distribution (σx) is calculated using the formula σ/√n, where σ is the population standard deviation (9) and n is the sample size (81). Therefore:

Mean of the sampling distribution (μx) = μ = 78

Standard deviation of the sampling distribution (σx) = σ/√n = 9/√81 = 1

b) To find P(X > 79.25), we need to standardize the value using the sampling distribution's mean and standard deviation.

First, we calculate the z-score: z = (x - μx) / σx

z = (79.25 - 78) / 1 = 1.25

Next, we find the probability using a standard normal distribution table or calculator. P(Z > 1.25) is the probability of obtaining a z-score greater than 1.25.

Using a standard normal distribution table or calculator, we find that P(Z > 1.25) ≈ 0.1056.

Therefore, P(X > 79.25) ≈ 0.1056 or approximately 10.56%.

c) To find P(X ≤ 75.5), we again need to standardize the value.

z = (75.5 - 78) / 1 = -2.5

P(Z ≤ -2.5) is the probability of obtaining a z-score less than or equal to -2.5.

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.5) ≈ 0.0062.

Therefore, P(X ≤ 75.5) ≈ 0.0062 or approximately 0.62%.

d) To find P(76.5 < X < 80.25), we need to standardize both values.

z1 = (76.5 - 78) / 1 = -1.5

z2 = (80.25 - 78) / 1 = 2.25

P(-1.5 < Z < 2.25) is the probability of obtaining a z-score between -1.5 and 2.25.

Using a standard normal distribution table or calculator, we find that P(-1.5 < Z < 2.25) ≈ 0.8849 - 0.0668 = 0.8181.

Therefore, P(76.5 < X < 80.25) ≈ 0.8181 or approximately 81.81%.

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The complete question is:

Suppose a simple random sample of size n=81 is obtained from a population with a mean of 78 and a standard deviation of 9.

a) Describe the sampling distribution of X

i) Find the mean and standard deviation of the sampling distribution of X

b) P(X> 79.25)

c) P(X is less than or equal to 75.5)

d) P( 76.5 <x<80.25)

Answer:

Step-by-step explanation:

2 squares ( ONLP && PLKH )
2 triangles ( NML && HKJ )

1 semi-circle ( PH )

An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.

To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.

Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.

The other options do not have equivalent representations of decimals, fractions, and percentages.

In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.

Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).

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\({e^(3x), e^(5x), e^(-x)}\)\(A + B * e^(2x) + C * e^(-4x) = 0\)The given functions \({e^(3x), e^(5x), e^(-x)}\) are linearly independent.

To determine if the given functions \({e^(3x), e^(5x), e^(-x)}\)are linearly dependent or independent, we can create a linear combination of them and check if it equals zero.

Let's consider a linear combination:
\(A * e^(3x) + B * e^(5x) + C * e^(-x) = 0\), where A, B, and C are constants.

To show linear independence, we need to prove that the only solution to this equation is A = B = C = 0.

If we assume A, B, and C are not all zero, we can divide the equation by e^(3x) and obtain:

\(A + B * e^(2x) + C * e^(-4x) = 0\)

The above equation represents a linear combination of exponential functions. Since exponential functions are linearly independent, the only solution is when A = B = C = 0.

Therefore, the given functions \({e^(3x), e^(5x), e^(-x)}\)are linearly independent.

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Answer:

3003

Step-by-step explanation:

This is just basically choosing 5 players out of 15 people.

15 choose 5 is \(\frac{15!}{10!*5!}\)

\(\frac{15*14*13*12*11}{5*4*3*2}\)

3*7*13*11=1001*3=3003

Feel free to tell me if I did anything wrong! :)

The basketball team has 3,003,600 possible starting lineups. Given that there are 15 players on the roster and 5 players on the basketball court, this calculation involves determining the number of ways to select 5 players out of the total 15.

To calculate the number of possible starting lineups, we can use the concept of combinations. We have 15 players on the roster, and we need to select 5 players to form a starting lineup.

The number of ways to choose 5 players out of 15 can be calculated using the combination formula:

C(n, r) = n! / (r! * (n - r)!)

In this case, n represents the total number of players (15) and r represents the number of players needed for the lineup (5).

Plugging these values into the formula, we get:

C(15, 5) = 15! / (5! * (15 - 5)!)

= (15 * 14 * 13 * 12 * 11 * 10!) / (5! * 10!)

= (15 * 14 * 13 * 12 * 11) / (5 * 4 * 3 * 2 * 1)

= 3,003,600

Therefore, there are 3,003,600 possible starting lineups for the basketball team. This means that the team has a vast number of combinations to choose from when selecting the starting lineup from the 15 players on its roster.

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Answer:

B

Step-by-step explanation:

Hope you pass

Answer:

Step-by-step explanation:

If you wanted to figure out how long it would take her to get there it would be the distance she swims divided by her speed.

if you wanted to figure out how much her speed is, it would be the distance she swims divided by her speed.

If you wanted to figure out how long the distance is, you would multiply her speed and how long it took to get their.

The determinant of the given matrix is -1280. The determinant of the matrix. 42 -22 22 -42.

To find the determinant of the given matrix, which is:

| 42 -22 |

| 22 -42 |

We can use the formula for the determinant of a 2x2 matrix:

det = (a * d) - (b * c),

where the matrix is represented as:

| a b |

| c d |

In this case, a = 42, b = -22, c = 22, and d = -42.

Plugging these values into the determinant formula, we have:

det = (42 * -42) - (-22 * 22)

= (-1764) - (-484)

= -1764 + 484

= -1280.

Therefore, the determinant of the given matrix is -1280.

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b. A variable annuity.

P did not buy a variable annuity. Variable annuities are investment products that allow individuals to allocate their annuity funds among various investment options. The income stream from a variable annuity is not fixed and can fluctuate based on the performance of the chosen investments.

In this case, P is looking for a lifetime income stream beginning at age sixty, which indicates a desire for a fixed income. Therefore, P most likely purchased a straight life annuity, an immediate annuity, or a deferred annuity, all of which provide a fixed income stream.

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Answer: Kyla

Step-by-step explanation:

Kyla would be correct because 7-12=-5.

Answer:

kyla

Step-by-step explanation:

Therefore, the series ∑[n=1 to ∞] (-1)^n (11n - 1)/(12n) is divergent.

To test the convergence or divergence of the series ∑[n=1 to ∞] (-1)^n (11n - 1)/(12n), we can use the Alternating Series Test.

The Alternating Series Test states that if a series has the form ∑[n=1 to ∞] (-1)^(n+1) b_n, where b_n > 0 for all n and b_n is a decreasing sequence, then the series converges if the limit of b_n as n approaches infinity is 0.

In this case, we have b_n = (11n - 1)/(12n), which is positive for all n. Let's check if b_n is a decreasing sequence by examining b_n+1 - b_n:

b_n+1 - b_n = [(11(n+1) - 1)/(12(n+1))] - [(11n - 1)/(12n)]

= [11(n+1) - 1 - 11n + 1]/[12(n+1)n]

= 11/[12(n+1)n]

Since 11 is positive, b_n+1 - b_n > 0 for all n, meaning that b_n is a decreasing sequence.

Now, let's find the limit of b_n as n approaches infinity:

lim (n→∞) [(11n - 1)/(12n)]

= lim (n→∞) (11 - 1/n)/(12)

= (11/12)

Since the limit of b_n as n approaches infinity is 11/12, which is not equal to 0, the series does not satisfy the condition for convergence according to the Alternating Series Test.

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The answer is B. It is 3/4

Answer:

7/4

Step-by-step explanation:

Answer: It will take just 1 hour & 36 minutes with 4 large pumps & 4 small pumps

Step-by-step explanation:

10. A graph of \(f(x)=16(\frac{1}{2} )^x\) is shown on the coordinate grid below.

The function represents a decay.

The y-intercept of this function is (0, 16).

The equation of the horizontal asymptote is y = 0.

11. The domain and range of the function for this situation are:

Domain: 0 ≤ x ≤ 9.5

Range: 0 ≤ y ≤ 20.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the exponential function \(f(x)=16(\frac{1}{2} )^x\), we would determine the value of "b" by comparison as follows;

b = 0.5, since the value is less than 1, it represents a decay rate.

For the y-intercept when x = 0;

\(f(x)=16(\frac{1}{2} )^x\\\\f(x)=16(\frac{1}{2} )^0\)

f(x) = 16.

Therefore, the y-intercept of this function is (0, 16) and the equation of the horizontal asymptote is y = 0.

Question 11.

By critically observing the graph of the function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [0, 9.5], 0 ≤ x ≤ 9.5, or {x | x ≤ 9.5}.

Range = [0, 20], 0 ≤ y ≤ 20, or {y | y ≤ 20}

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Answer:

1) 8

2) -27

Step-by-step explanation:

3 - (-5)

3 + 5

8

-33 - (-6)

-33 + 6

-27

Answer:

Top one is 8.

Bottom one is -27.

Step-by-step explanation:

A double negative equals a positive; therefore, it is essentially 2 + 5

and

-33 + 6

The appropriate null hypothesis for the company to test depends on the specific study or experiment being conducted.

However, in the given options, option C is the appropriate null hypothesis for the company to test. This hypothesis states that the proportion of people in the population who trust each brand is the same for all five brands. This hypothesis can be tested using statistical methods to determine if there is a significant difference in trust levels between the five brands. Options A and B are not appropriate null hypotheses as they do not make a specific statement about the relationship between the variables being studied. Option D is an alternative hypothesis, which suggests that there is a difference in trust levels between at least one of the brands and the other four.

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(1) To solve this linear programming problem, we need to graph the constraints and find the feasible region. Starting with the first constraint, x + y ≤ 7, we can plot the line x + y = 7 and shade the region below it (since we want x and y to be greater than or equal to 0).

Next, the constraint 2x + y ≤ 12 corresponds to the line 2x + y = 12, and we shade the region below this line as well.
Finally, the constraint y ≤ 4 corresponds to the horizontal line y = 4, which we shade everything below.
The feasible region is the overlapping shaded region of these three constraints.
To maximize f = 2x + 4y within this feasible region, we need to find the corner point with the highest value of f.
Checking the corner points of the feasible region, we have (0,4), (3,4), and (5,2).

Plugging each of these into the objective function f = 2x + 4y, we get:
- (0,4): f = 2(0) + 4(4) = 16
- (3,4): f = 2(3) + 4(4) = 22
- (5,2): f = 2(5) + 4(2) = 18
Therefore, the maximum value of f = 22 occurs at the point (3,4).
(x,y) = (3,4)
f = 22 .

2) Again, we need to graph the constraints to find the feasible region.Starting with the first constraint, x + y ≤ 7, we plot the line x + y = 7 and shade the region below it.The second constraint, 2x + y ≤ 12, corresponds to the line 2x + y = 12, which we shade the region below as well. Finally, the third constraint, x + 3y ≤ 15, corresponds to the line x + 3y = 15, which we shade the region below.

The feasible region is the overlapping shaded region of these three constraints. To maximize f = 2x + 8y within this feasible region, we need to find the corner point with the highest value of f. Checking the corner points of the feasible region, we have (0,0), (0,5), (3,4), and (7,0).

Plugging each of these into the objective function f = 2x + 8y, we get:- (0,0): f = 2(0) + 8(0) = 0
- (0,5): f = 2(0) + 8(5) = 40
- (3,4): f = 2(3) + 8(4) = 34
- (7,0): f = 2(7) + 8(0) = 14, Therefore, the maximum value of f = 40 occurs at the point (0,5). , (x,y) = (0,5)
f = 40.

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The set of sides √3, √13 and 4 could be used to form a right angled triangle.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Pythagoras theorem can be used to show the relationship between the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

For a right triangle with sides √3, √13 and 4:

Using Pythagoras:

4² = (√3)² + (√13)²

16 = 3 + 13

16 = 16

The sides √3, √13 and 4 form a right angled triangle.

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Answer:

\( \) \( \) \( \) \( \)

Answer:

4√6^3

Step-by-step explanation:

Answer:

4 dozen = 4 * 12 = 48

48 / 3 = 16

Step-by-step explanation:

16 batches!!!

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The measure of  ∠x is 190°

Define Exterior angle

In the given diagram, all angles marked is an exterior angle

And, we know sum of exterior angle is 360°

So, now just equate the given values to 360 degree

x + 60 + 110 = 360

x + 170 = 360

x = 360 - 170

x = 190°

Hence, the measure of ∠x is 190°

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It is feasible to close Hargett St. between Blount Street and Person Street for a day.

Given the traffic flow model described, it is feasible to close Hargett St. between Blount Street and Person Street for a day. The model states that the average daily traffic flow on Hargett St. is 8,000 vehicles per day, with 3,000 vehicles per hour during peak hours. By closing Hargett St. between Blount Street and Person Street for a day, the average daily traffic flow would be reduced by 8,000 vehicles per day. Thus, the total number of vehicles that would be diverted from Hargett St. on the day of the event would be 8,000 vehicles. This amount of traffic would not be too overwhelming for the surrounding streets to handle, since the model states that the average daily traffic flow for those streets is approximately 4,000 vehicles per day.

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