Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. Which concept can be used to prove that the diagonals of a parallelogram bisect each other? congruent triangles similar triangles congruent rectangles similar rectangles

Answer:

After a year you would have $1,825

Step-by-step explanation:

Amount for one cat a day in cents

10x25=250

Amount for one cat for a year in cents

250x365=91,250

Amount for both cats for a year in cents

91,250x2=182,500

Amount for both cats for a year dollars

182,500/100=1,825

#b

Solve graphically

#c

Both graphs attached

Answer:

Question b

\(\textsf{Equation 1:} \ \dfrac12x-2y=-13\)

\(\textsf{Equation 2:} \ x-4y=8\)

Multiply Equation 2 by two:

\(\implies \textsf{Equation 3:} \ x+4y=-26\)

Subtract Equation 2 from Equation 3:

\(\begin{aligned}x-4y & =8\\- \ \ \ x+4y & =-26\\\cline{1-2}-8y & =34\end{aligned}\)

Solve for y:

\(\implies -8y=34\)

\(\implies y = -\dfrac{17}{4}\)

Substitute found value of y into Equation 2 and solve for x:

\(\implies x-4\left(-\dfrac{17}{4}\right)=8\)

\(\implies x+17=8\)

\(\implies x=-9\)

Question a

\(\textsf{Equation 1:} \ x+y=2\)

\(\textsf{Equation 2:} \ -3x-y=5\)

Add Equation 1 and Equation 2:

\(\begin{aligned}x+y & = 2\\+ \ \ \ -3x-y & =5\\\cline{1-2}-2x & = 7\end{aligned}\)

Solve for x:

\(\implies -2x=7\)

\(\implies x = -\dfrac{7}{2}\)

Substitute found value of x into Equation 1 and solve for y:

\(\implies \left(-\dfrac{7}{2}\right)+y=2\)

\(\implies y=\dfrac{11}{2}\)

The magnitude of the vector V = -9i + 17j is about 19.24, and the direction angle is about -62.9°.

We can apply the following formulas to determine a vector's magnitude and direction angle:

Magnitude of vector V: |V| = √(\(Vx^2 + Vy^2)\)

Direction angle of vector V: θ =\(tan^(-1)(Vy/Vx)\)

Let's apply these formulas to the given vectors:

V = 13i - 13j

Magnitude of V:

|V| = √\(((13)^2 + (-13)^2)\)

= √(169 + 169)

= √(338)

≈ 18.38

Direction angle of V:

θ = \(tan^(-1)(-13/13)\)

\(= tan^(-1)(-1)\)

≈ -45°

In light of this, the magnitude and direction angle of the vector V = 13i - 13j are respectively 18.38 and -45°.

V = -9i + 17j

V's magnitude:

|V| = √\(((-9)^2 + 17^2)\)

= √(81 + 289)

= √(370)

≈ 19.24

Direction angle of V:

θ =\(tan^(-1)(17/-9)\)

≈ -62.9°

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Answer:

9 dollars per hour

Step-by-step explanation:

We want to use a ratio to find the rate in dollars per hour

72 dollars / 8 hours

Simplify by dividing the top and bottom by 8

9 dollars / 1 hour

9 dollars per hour

Step-by-step explanation:

72$ Per 8 hours, is the same as getting 9$ per hour. How this is possible is simple, All you do when you get a question like this, is that you divide the dollars by the hour, minutes, seconds, etc.

Problem-Connection:

As from this Question we Have 72$ per 8 hours, so we divide 72/8 which results in 9. So Dan Earns 9$ Per Hour.

Answer:

Dan Earns 9$ Per hour.

Your welcome!

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In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.

Option B is right choice.

In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.

This is because both types of variance estimates measure the variation within groups or cells of the independent variable(s).
In a one-way ANOVA, the independent variable has only one factor or level, and the within-groups variance estimate measures the variation within each group or level of the factor.

This estimate reflects the extent to which the data points within each group deviate from the group mean.
In a two-way ANOVA, there are two independent variables or factors, and the within-cells variance estimate measures the variation within each combination of levels of the two factors.

This estimate reflects the extent to which the data points within each cell (or combination of factor levels) deviate from the mean of that cell.
Therefore, the within-cells variance estimate in the two-way ANOVA plays a similar role as the within-groups variance estimate in the one-way ANOVA.

Both estimates reflect the degree of variability within the groups or cells of the independent variable(s) and both are used to calculate the F-statistic and determine the statistical significance of the effects of the independent variable(s) on the dependent variable.

Option B is right choice.

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Answer:

Step-by-step explanation:

Answer

120=7x+15

Step-by-step explanation:

Answer:

We are given table for the prices for two different catering companies.

Company Initial Payment           Rate Per Employee

________________________________________

$135                                         $12

       $0                                           $15

We know, slope-intercept form of a linear equation:

y= mx+ b.

Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).

Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.

y = 12x +135.

Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.

y = 15x + 0 or y = 15x.

Therefore, system of equations or Devoted Catering are

y = 12x +135.

y = 15x .

Step-by-step explanation:

The best reason to prefer the least-squares regression line that uses x to predict log(y) would be that the standard deviation of the residuals is smaller.

When we have a scatterplot that shows a positive, nonlinear association, we may attempt to transform the data to linearize the association.

In this case, two different transformations were attempted, using the logarithm of the y values and using the square root of the y values.

Two least-squares regression lines were then calculated, one that uses x to predict log(y) and the other that uses x to predict Vy.
To determine which of these regression lines is preferred, we need to consider several factors.

One important factor is the value of r2, which tells us how much of the variability in the response variable (y) is explained by the regression model.

A larger r2 indicates a better fit to the data.
However, in this case, the value of r2 alone may not be sufficient to determine which regression line is preferred.

Another important factor to consider is the standard deviation of the residuals, which measures how much the actual values of y deviate from the predicted values. A smaller standard deviation of the residuals indicates a better fit to the data.

Furthermore, we should also consider the slope of the regression line, which tells us the direction and strength of the relationship between x and y.

A greater slope indicates a stronger relationship.
In addition, we need to examine the residual plot, which shows the difference between the actual values of y and the predicted values.

A residual plot with more random scatter indicates a better fit to the data.

Finally, we should also consider the distribution of residuals, which should be approximately Normal. A more Normal distribution of residuals indicates a better fit to the data.

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Answer:

Why don't know wt is equal to..

Step-by-step explanation:

3(x + 4) - (2x + 7)

3x + 12 - 2x - 7

1x + 5

x + 5

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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Answer:

(a²b)³(b²c²)=a⁶b⁵c²

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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log base 6 of 10 can be expressed as 1/a in terms of a and b.

To express log base 6 of 10 in terms of a and b, we can use the change of base formula. The change of base formula states that log base b of a can be expressed as log base c of a divided by log base c of b, where c can be any positive number except 1.

In this case, we want to express log base 6 of 10. Let's choose the common base to be 10, so c = 10. Using the change of base formula, we have:

log base 6 of 10 = log base 10 of 10 / log base 10 of 6

Since log base 10 of 10 is 1, we can simplify the expression:

log base 6 of 10 = 1 / log base 10 of 6

Now, we need to express log base 10 of 6 in terms of a and b. Let's substitute log base 10 of 6 as a:

log base 6 of 10 = 1 / a

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The probability for three randomly monitored calls will be 0.00001

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Given in the question:

Call time, X ~ Normal (μ=8.21, σ=2.14)

For a single call,

P(X < 4) = P{(X - μ)/σ < (4 - 8.21)/2.14) = P{Z < -1.97} = F(-1.97) = 0.024 (lookup a standard normal distribution table)

For 3 independent calls, the probability that all the three are less than or equal to 4 min = \((0.024)^{3}\) = 0.00001

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Answer:

The Mona Lisa

Step-by-step explanation:

Da Vinci?

Answer:

93.1

24.83

24.13

2755

12.75

0.151

Step-by-step explanation:

Given :

21.1 + 45.99 + 26.0 = 93.09

15.55 + 21.61 - 12.333 = 24.827

14 + 0.8 + 9.33 = 24.13

14.5 * 190 = 2755

5.1 * 2.5 = 12.75

0.15 ÷ 0.991 = 0.151

Answer:

the equation for the circumerence of a circle is    pi R squared

Step-by-step explanation:

here the radius is 28

So it would be pi 28squared

so i think it would be 784pi

Consecutive triangular numbers can be represented as n and n + 1.

Using the expressions for consecutive triangular numbers,

0. 5n(n + 1) and 0. 5(n+1)(n+2), the sum of two consecutive triangular numbers can be calculated as follows:0. 5n(n + 1) + 0. 5(n+1)(n+2)0.5n(n+1) + 0.5(n+1)(n+2)0.5 [n(n+1) + (n+1)(n+2)]0.5 [n2 + n + n2 + 3n + 2]0.5 [2n2 + 4n + 2] = 0.5 × 2(n2 + 2n + 1) = (n + 1).

The sum of two consecutive triangular numbers is always a square number which is (n + 1)2.Hence, the given statement has been proved. Now, combine the above equation to get the sum of two consecutive triangular numbers.

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Choose:

Increase the likelihood of rejecting the null hypothesis and increase measures of effect size.

The t statistic is the ratio of the calculated deviation of a parameter from its hypothesized value with its standard error.

In general, the likelihood of discovering a significant difference increases as the variance of the difference scores increases. A limited variation for the difference scores in a repeated-measures study suggests that the treatment has little or no effect.

Increasing the number of scores within each sample reduces the predicted standard error of the mean difference. This increases the size of the observed t, making it easier to reject the null hypothesis H0. In other words, when sample size increases, statistical power increases.

Higher t-value corresponds to a lower p-value, indicating that the difference between sample-mean (Χ) and population-mean (μ) is statistically significant (hence we reject the null hypothesis).

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Answer:

Step-by-step explanation:

A : -2+(-2) = 0 False

-2+(-2) = -4

A negative plus a negative is actually a negative. When adding signed numbers, it is useful to think of positive numbers as gains and negative numbers as losses.

B : 2-(-2) = 0 False

2-(-2) = 4

Because there is subtraction sign so if subtraction sign added to negative sign it makes positive from 2-(-2) it will be 2+2

The cost of each music video is $1.99.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given total cost of 2 music videos, a TV series and a movie is $42.95

and TV series cost 2 times as much as the movie,

cost of the movie = $12.99

cost of  TV series = 2*12.99

cost of  TV series = $25.98

let the cost of a video be x

so according to condition,

2x + cost of  TV series + cost of the movie = $42.95

2x + 25.98 + 12.99 = 42.95

2x = 42.95 - 25.98 - 12.99

2x = 3.98

x = 3.98/2

x = $1.99

Hence the cost of a music video is $1.99.

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Answer:

81

Step-by-step explanation:

5 times 6 is 30 times 3 is 90 - 9 is 81

Answer: either 24 or -24

Answer:easy 8

Step-by-step explanation: first you have to use the distributive property and then combine like terms so k=8

Answer:

the graph will be the parent function : |x|, but shifted down by 4 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

Explanation:The volume V of a sphere of radius r is given by the formula

V = (4/3)πr³

Differentiating both sides of the equation with respect to time t (using the chain rule), we get

dV/dt = 4πr² (dr/dt)

We know that

dV/dt = 6 in³/min (given in the problem statement) and r = 3 in (given in the problem statement)

Therefore,6 = 4π(3²) (dr/dt)

dr/dt = 6 / (4π × 9)

dr/dt = 1 / (6π/4)

dr/dt = 4/6π

= 2/3π in/min

So, the rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

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To find the 4th order Newton's divided-difference interpolating polynomial for f(x)=ln(x) with x=1,4,5,6,8, we first need to calculate the divided differences:

A. (a) The 4th order Newton's divided-difference interpolating polynomial for the function f(x) = ln(x) using the given data points is:

P(x) = ln(1) + (x - 1)[(ln(4) - ln(1))/(4 - 1)] + (x - 1)(x - 4)[(ln(5) - ln(4))/(5 - 4)(5 - 1)] + (x - 1)(x - 4)(x - 5)[(ln(6) - ln(5))/(6 - 5)(6 - 1)] + (x - 1)(x - 4)(x - 5)(x - 6)[(ln(8) - ln(6))/(8 - 6)(8 - 1)]

B. (a) To find f(x) at x = 7 and x = 9 using the interpolating polynomial, substitute the respective values into the polynomial expression P(x) obtained in the previous part.

Explanation:

A. (a) The 4th order Newton's divided-difference interpolating polynomial can be constructed using the divided-difference formula and the given data points. In this case, we have five data points: (1, ln(1)), (4, ln(4)), (5, ln(5)), (6, ln(6)), and (8, ln(8)). We apply the formula to calculate the polynomial.

B. (a) To find the value of f(x) at x = 7 and x = 9, we substitute these values into the polynomial P(x) obtained in the previous part. For x = 7, substitute 7 into P(x) and evaluate the expression. Similarly, for x = 9, substitute 9 into P(x) and evaluate the expression.

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Answer: π/2

Step-by-step explanation:

3π/4 - π/4 = 2π/4

2π/4 = π/2

Answer:

Part A:

40 = 16 + 4·s

Part B:

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet

Step-by-step explanation:

The given parameters are;

The length of the lumber Henry is using to make the book case = 40 ft.

The height of the left and right side of the book case = 8 ft. each

The length of the top and bottom and the two shelves are each = s

Therefore, we have;

Part A:

The equation is given as follows;

40 = 8 × 2 + 4·s = 16 + 4·s

40 = 16 + 4·s

Part B:

The solution of the equation is given as follows;

40 = 16 + 4·s

4·s= 40 - 16 = 24

s = 24/4 = 6 ft.

s = 6 ft.

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet