Solve the simultaneous equations by substitution
4x+3y=-2
3y=4-x

Answer: True

Step-by-step explanation: am i wrong

Answer:

false

Step-by-step explanation:

in a rhombus all interior angles are not equal even though they have equal sides.while in a square all sides are equal including interior angles. so no a rhombus does not have the same properties

Answer:

8

Step-by-step explanation:

total: 28 water attractions

pools: p

game areas: p + 2

water slides: 50% of 28 = 14

14 + p + p + 2 = 28

2p = 12

p = 6

game areas:

p + 2 = 6 + 2 = 8

The height of the helium tank is; Option D: 36 inches

The formula for the volume of a cylinder is;

V = πr²h

Where;

V is volume

r is radius

h is height

We are given;

Radius(r) = diameter/2 = 12/2

r = 6 inches

Volume; V = 1296π in³

1296π = π * 6² * h

h = 1296/36

h = 36 inches

We conclude that is the height if the helium tank

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Answer:

its height is 36 inches

Step-by-step explanation:

The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

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Answer:

AC=DF, C=F, CB=FE

Step-by-step explanation:

triABC is congruent to triDEF

The sides and order of the letters match up for those 3 answers

The distance between the fountain and the playground is approximately 10.8 yards.

To find the distance between the fountain and the playground, we can use the Pythagorean theorem.

Given:

Coordinates of the center of the park: (0, 0)

Fountain is 4 yards north of the center: (0, 4)

Playground is 10 yards east of the center: (10, 0)

Let's consider the distance between the fountain and the playground as the hypotenuse of a right triangle formed by the fountain, playground, and the center of the park.

Using the Pythagorean theorem, the distance between the fountain and the playground (hypotenuse) can be calculated as follows:

Distance^2 = (Difference in x-coordinates)^2 + (Difference in y-coordinates)^2

Difference in x-coordinates = 10 - 0 = 10 yards

Difference in y-coordinates = 4 - 0 = 4 yards

Distance^2 = (10)^2 + (4)^2

Distance^2 = 100 + 16

Distance^2 = 116

Taking the square root of both sides to find the distance:

Distance = sqrt(116)

Distance ≈ 10.8 yards (rounded to the nearest tenth)

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Answer:

4 i think...

Step-by-step explanation:

Answer:

D. or graph 4.

Step-by-step explanation:

Because the function would not make sense when trying to include a way to see the uprise, steady stay, uprise, steady stay, in that order.

Answer:

= −0.26

= 0.4219

Step-by-step explanation:

Given:

Sample1:  98.1  98.8  97.3  97.5  97.9

Sample2: 98.7  99.4  97.7  97.1  98.0

Sample 1           Sample 2              Difference d

98.1                        98.7                       -0.6  

98.8                       99.4                       -0.6

97.3                        97.7                       -0.4

97.5                        97.1                         0.4

97.9                        98.0                       -0.1

To find:

Find the values of  and

d overbar ( )  is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

= ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

= −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

= √∑( - )²/ n-1

=

√

   =  √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −  

                                                                    (−0.26))² + (−0.1 − (−0.26))² / 5−1

=  

=

=

= 0.4219

= 0.4219

Subscript d ​represent

μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.

Step-by-step explanation:

Answer:

22, and -22

Step-by-step explanation:

22x22=484

-22x(-22)=484

1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equation. A difference equation of the form Ay(t) = a has a general solution of y(t) = A + at, where A is a constant of integration. Therefore, the general solution for the difference equation in question is y(t) = Yo + at.

2. In a trend stationary process, the trend is deterministic. Therefore, it is stationary after removing the trend. In a stochastic trend, the trend is stochastic, and the process is non-stationary even after the trend is removed. Since the process above has a deterministic trend, it is a trend stationary process.

3. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

4. Consider now a series with the following motion: AY₁ = a + et. Given the initial value of Yo, write the general solution of the difference equation. The difference equation Ay(t) = a + et has a general solution of y(t) = (a/e) + A + Bt + ut, where u(t) is a stationary noise term with zero mean and constant variance. Therefore, the general solution to the difference equation in question is y(t) = a/e + Yo + Bt + ut.

5. Explain whether the process above is trend stationary or stochastic trend. Since the process above has a stochastic trend, it is a non-stationary process.

6. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

7. The hypothesis for a unit root test is that a series has a unit root, meaning it is non-stationary. The Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and testing whether the coefficient on the lagged level is significantly different from zero

8. The Augmented Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and the lagged first difference of the series and testing whether the coefficient on the lagged level is significantly different from zero.

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Answer:

y = 3x - 8

Step-by-step explanation:

Slope = m = 3 ; (2 , -2)

Equation : y = mx + b

Plug in x = 2 and y = -2 in the above equation

-2 = 3*2 + b

-2 = 6 + b

-2 -6 = b

b = -8

Equation:  y = 3x - 8

Answer:

1

Step-by-step explanation:

i think

Answer:

  b)  -3

Step-by-step explanation:

You want the value of 'a' when the quadratic y = –3x² – 15x – 11 is written in the form y = a(x – h)² + k.

The leading coefficient in either form is the coefficient of x². It is the same in both forms: -3.

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer:

120 degrees

Step-by-step explanation:

It has to equal to 360, and so since angle B is 60 degrees, and it's the smaller angle, A and C have to be 120 degrees, and D has to be 60 degrees. Hope this helps.

Answer:

It would be 23/50. Don't care about points only here to help you out

Step-by-step explanation:

there is only one way to roll a single die and get a 2, followed by a 2.

What are likely outcomes?

Likely outcomes are the outcomes that have a high probability of occurring in a given situation. In probability theory, the likelihood of an outcome is often expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Assuming that the die is fair and has six equally likely outcomes, the probability of rolling a 2 on a single roll is 1/6. The probability of rolling two 2's in a row is the product of the probabilities of rolling a 2 on each roll, which is (1/6) x (1/6) = 1/36.

To find the number of ways to roll a single die and get a 2, followed by a 2, we can consider the possible sequences of rolls. Since we need two 2's in a row, the only possible sequence that satisfies this condition is rolling a 2 followed by another 2. Therefore, there is only one way to roll a single die and get a 2, followed by a 2.

In summary, there is only one way to roll a single die and get a 2, followed by a 2, and the probability of this event is 1/36.

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(a) Continuity of f at x=0 is to be determined.  

Definition: A function is said to be continuous at a point c in its domain if its limit at that point exists and is equal to the value of the function at that point.  

Let's evaluate the limit of f(x) as x approaches 0 from the right side:

limf(x) as x → 0+ = limsinc(x) as x → 0+

= lim sin(x) / x as x → 0+

= 1.  

Now, let's evaluate the limit of f(x) as x approaches 0 from the left side:

limf(x) as x → 0-

= limsinc(x) as x → 0-

= lim sin(x) / x as x → 0-

= 1.  

Since the limits of f(x) as x approaches 0 from both sides exist and are equal to f(0), therefore f is continuous at x=0.  

Answer: Yes, f is continuous at x=0.

(b) Differentiability of f at x=0 is to be determined.  

Definition: A function is said to be differentiable at a point c in its domain if its limit at that point exists and is finite.

 Let's evaluate the limit of f'(x) as x approaches 0:

\(limf'(x) as x → 0 = lim (d/dx[sinc(x)]) as x → 0\)

= limcos(x)/x - sin(x)/(x^2) as x → 0

= 0 - 1/0^2 = -∞.  

Since the limit of f'(x) as x approaches 0 is not finite, therefore f is not differentiable at x=0.

 Answer: No, f is not differentiable at x=0.

\(limcos(x)/x - sin(x)/(x^2) as x → 0\)

(c) Roots of f are to be determined.  

Definition: A root of a function is any point c in its domain at which f(c)=0.

 f(x)=sinc(x)=sin(x)/x=0 when sin(x)=0.  sin(x)=0 for x=nπ

where n is an integer.

Therefore, f has roots at x=nπ,

where n is an integer.

Each root has a multiplicity of 1 because the derivative of sinc(x) is never equal to 0.

Answer: f has roots at x=nπ,

where n is an integer, and each root has a multiplicity of 1.

(d) The supremum and maximum of f and the number of relative extrema are to be determined.

Definition: The supremum of a function f is the least upper bound of the range of f.

The maximum of a function f is the largest value of f on its domain.

The range of f is [-1,1].  

Therefore, sup f=1 and max f=1.  

The function sinc(x) is continuous, symmetric about the y-axis, and has zeros at the odd multiples of π.  

The relative maxima occur at the even multiples of π, and the relative minima occur at the odd multiples of π.  

The value of the function at each relative extremum is -1.  

Let c be an even integer, so that x=cπ is a relative extremum.

Then f(cπ)=sinc(cπ)=(-1)^c/(cπ).

By the definition of absolute value,

\(f(cπ)|=|-1^c/(cπ)|=1/(cπ)=√(1/(c^2π^2))\).  

Therefore, \(f(cπ)|=-1√(1+c^2π^2).\)

Answer: sup f=1, max f=1, there are infinite relative extrema, and f(cπ)|=-1√(1+c^2π^2) for any even integer c.

(e) An infinite product is to be evaluated.

Formula:

p\(i(n=1 to ∞) (1+(z/n))^-1\) =\(e^(γz)/z pi(n=1 to ∞) (1+(n^2/a^2))^-1\)

= \(a/π pi(n=1 to ∞) (1+(na)^-2\))  = a/π sin(πa).  

Let a=1/√2 and z=1.  

Then,

11 1 1 1 11 1 1 11 + + 22 2 2 2 2 2 22  = \((1+(1/1))^-1(1+(1/2))^-1(1+(1/3))^-1(1+(1/4))^-1\)...  = 1/(1+1/2) * 2/(2+1/3) * 3/(3+1/4) * 4/(4+1/5)...  

= 2/3 * 3/4 * 4/5 * 5/6 *...  

= [3/(2+1)] * [4/(3+1)] * [5/(4+1)] * [6/(5+1)] *...

= [3/2 * 4/3 * 5/4 * 6/5 *...] / [1+1/2+1/3+1/4+...]  

= 3/2 * πsin(π/2) / \(e^γ\)

= 3/2 * π^2 / \(e^γ\).  

Answer: 11 1 1 1 11 1 1 11 + + 22 2 2 2 2 2 22  = 3/2 * \(π^2 / e^γ\).

(g) The limit of x/sin(x) as x approaches 0 and the derivative of sin(x) with respect to x when x is a measure of an angle in degrees are to be determined.

 Formula:\(lim x→0 sin(x)/x\) = 1.  

Let y be a measure of an angle in degrees.  

Then x=yπ/180.  

Formula: d/dy(sin(yπ/180)) = (π/180)cos(yπ/180).  

Answer: \(lim x→0 x/sin(x)\) = 1 and d/dy(sin(yπ/180)) = (π/180)cos(yπ/180).

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Answer:

A.2 Hours.

B.2 Inches.

Step-by-step explanation:

Its easy,

A. 8 inches = 4 hours, 4 inches = .... hours

4 inches = 8 ÷ 2

Hours: 4 hours ÷ 2 = 2 hours

B. 8 inches = 4 hours, .... inches = 1 hour

1 hour = 4 ÷ 4

Inches: 8 inches ÷ 4 = 2 inches.

Answer:

9

Step-by-step explanation:

you have to plug in the numbers and solve it, so it would go as follows:

-(-3^2)- 2(-5)(2) - /2/

-9 + 20 - 2 =

9

i hope this helps

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

Answer:

360\12=16.36

Step-by-step explanation:

formula=22/7*6*6*10=16.36