help me find the perimeter plzzz!

Answer:

To find the greatest common factor (GCF) of the list of terms 30x^3, 110x^4, and 60x^5, we can begin by factoring each term into its prime factors:

30x^3 = 2 * 3 * 5 * x * x * x

110x^4 = 2 * 5 * 11 * x * x * x * x

60x^5 = 2 * 2 * 3 * 5 * x * x * x * x * x

Next, we can identify the common factors among the three terms. These are 2, 5, and x^3. The GCF is the product of these common factors:

GCF = 2 * 5 * x^3 = 10x^3

Therefore, the greatest common factor of 30x^3, 110x^4, and 60x^5 is 10x^3.

Step-by-step explanation:

Calvin's age is now 23 years old.

9 years ago, Dallas was 3 times Calvin's age, which was 11.

Therefore, 9 years ago, Dallas was 33. 32 years ago, when Calvin was 0, Dallas was 32.

Since then, Dallas has aged 1 year for every year Calvin has aged, so Calvin is now 23 and Dallas is 55.

This problem can also be solved using algebra. Let x be Calvin's age now, and y be Dallas' age 9 years ago. We can then set up the following equation:

x + 32 = 3(y - 9)

We can simplify this to x + 32 = 3y - 27 and solve for x:

x = 3y - 27 - 32

Plugging in the given information that y = 33, we get:

x = 3(33) - 27 - 32 = 23

Therefore, Calvin is currently 23 years old.

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The probability of selecting an even number as the first card and a number greater than 2 as the second card, when two cards are randomly selected with replacement from a stack of cards numbered 1 to 10, is 1/2.

The probability of selecting an even number as the first card is 5/10, since there are 5 even numbers (2, 4, 6, 8, and 10) out of a total of 10 cards.

When the first card is replaced, the total number of cards remains the same, and each card has an equal chance of being selected.

Therefore, the probability of selecting a number greater than 2 as the second card is 8/10, since there are 8 numbers (3, 4, 5, 6, 7, 8, 9, and 10) greater than 2 out of a total of 10 cards.

To find the probability of both events occurring, we multiply the individual probabilities. So, the probability of the first card being even and the second card being greater than 2 is (5/10) * (8/10) = 40/100 = 1/2.

The probability that the first card selected is an even number and the second card selected is greater than 2, when two cards are randomly selected with replacement from a stack of cards numbered 1 to 10, is 1/2.

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Answer:

41.6666%

Step-by-step explanation:

Answer:

100 students.

Step-by-step explanation:

You multiply the whole times the percentage. i.e) 0.4x250 or 40% x 250.

Answer:

Step-by-step explanation:

Step-by-step explanation:

if f(x)=0

then

(x+5)=0 and

(x-1)=0

solve for x

x=-5 and x=1

those are the two values where the function equals zero

Hope that helps :)

Answer:

Step-by-step explanation:

Hope this Helps ;)

The problem deals with finding the deflection of a string with length L = 1 and wave velocity c² = 1, given different initial deflection functions. Specifically, we need to determine the function u(x, t) for two cases: (1) k * sin(3πx) and (2) k * (sin(πx) - 1/2 * sin(2πx)). The objective is to sketch or graph the deflection u(x, t) and visualize its behavior.

To solve the problem, we use the wave equation for the string:

∂²u/∂t² = c² * ∂²u/∂x²

For case (1), the initial deflection function is k * sin(3πx). We can find the solution by separating variables and applying appropriate boundary conditions. The general solution will involve a combination of sine and cosine functions, and by considering the initial conditions, we can determine the specific form of u(x, t) for this case.

For case (2), the initial deflection function is k * (sin(πx) - 1/2 * sin(2πx)). Again, we follow a similar procedure as before to find the solution by separating variables and applying the boundary conditions. The resulting solution will involve a combination of sine and cosine functions.

By plotting the obtained solutions for u(x, t) in both cases, we can visualize the behavior of the string's deflection over time. This allows us to understand how the initial deflection function influences the subsequent motion of the string and observe any interesting patterns or phenomena.

Note: Due to the limited space here, the detailed mathematical derivations and graphical representations cannot be provided. It is recommended to refer to relevant textbooks or resources that cover the topic of wave equations and string vibrations for a comprehensive understanding.

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The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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Answer:

10/14

Step-by-step explanation:

See 3 +5+4+2= 14 , if the question would be what's the probability of getting yellow the answer would be 4/14 but it's not, so 14 - 4 which will be 10 so 10 / 14 .

The other way is get the sum of all the marbles except the yellow one, then that no. will be upon the total.

Answer: \(\frac{2}{7}\)or 0.2857142857

Step-by-step explanation:

P(not yellow)=\(\frac{4}{14}\)

P(not yellow)=\(\frac{2}{7}\) or 0.2857142857

All you have to do is add up all of the numbers and then yo uwill have your answer

Answer:

y=-2x+5

Step-by-step explanation:

x-2y=2

2y=x-2

y=(x-2)/2

so the slope is 1/2

for lines to be perpendicular m1m2=-1 so the line must have a slope satisfying the condition

(1/2)m=-1

m=-2

the only line with a slope of -2

If is wrong i'm sorry

In a chi-square goodness-of-fit test to determine if a spinner with five sections is fair, there are 4 degrees of freedom.

For a chi-square goodness-of-fit test, the degrees of freedom are equal to the number of categories being tested minus 1. In this case, we have five sections on the spinner, so we have five categories.

However, since we are testing the fairness of the spinner, we have a null hypothesis that each section has an equal chance of landing face-up. This means that we only need to determine the frequency of the spinner landing on each section in order to conduct the test.

Here's the step-by-step explanation:
1. Identify the number of categories (sections on the spinner): 5.
2. Calculate the degrees of freedom using the formula: degrees of freedom = number of categories - 1.
3. Substitute the values: degrees of freedom = 5 - 1 = 4.

So, there are 4 degrees of freedom for the chi-square goodness-of-fit test in this study.

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True.The range is a measure of dispersion that represents the difference between the highest and lowest scores in a dataset. In this case, the highest score is 9 and the lowest score is 2, so the range is simply 9-2=7.

It is important to note that the range only considers the extreme values in the dataset and does not take into account the distribution of the scores. Therefore, it should be used in conjunction with other measures of dispersion, such as the standard deviation, to fully understand the variability of the dataset.the range refers to the difference between the largest and smallest values in a set of data. It is a measure of dispersion that helps to provide an idea of how much variation exists in the dataset. To calculate the range, one simply subtracts the smallest value from the largest value

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The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

Additional comment

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

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The first step in solving using the substitution method is making an unknown value the subject of the formula.

The substitution method is one of the methods that is used to solve simultaneous equations. It involves making one unknown value the subject of the formula.

For example, given these simultaneous equations:

a + b = 10

2a + 5b = 20

The first step is to make either a or b the subject of the formula

a = 10 - b

or

b = 10 - a

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Answer:

Okay 6x

Step-by-step explanation:

Trapezoidal value will be  = - 1392.087124

Midpoint value will be  = -1744.434609

Simpson value will be  = - 1624.985447

A method for estimating the definite integral is the trapezoidal rule. displaystyle 'int _'a'b'f'(x), dx. The area of the region that roughly fits the shape of a trapezoid under the graph of the function f(x) is how the trapezoidal rule operates.

The subintervals have a length of 12/8, or 1.5, because the interval is 12.

let,

f(x) = sin(x)x³

Trapezoidal value will be:

\(\begin{aligned}&\int_{0}^{12} x^{3} \sin (x) d x \approx \\&0.75(f(0)+2 f(1.5)+2 f(3)+2 f(4.5)+2 f(6)+2 f(7.5)+2 f(9)+2 f(10.5)+f(12))\end{aligned}\)

= - 1392.087124

Midpoint value will be:

\(\begin{aligned}&\int_{0}^{12} x^{3} \sin (x) d x \approx \\&1.5 *(f(0.75)+f(2.25)+f(3.75)+f(5.25)+f(6.75)+f(8.25)+f(9.75)+f(11.25))\end{aligned}\)

= -1744.434609

Simpson value will be :

\(\begin{aligned}&\int_{0}^{12} x^{3} \sin (x) d x \approx \\&0.25(f(0)+4 f(0.75)+2 f(1.5)+4 f(2.25)+2 f(3)+4 f(3.75)+2 f(4.5)+4 f(5.25)+ \\&2 f(6)+4 f(6.75)+2 f(7.5)+4 f(8.25)+2 f(9)+4 f(9.75)+2 f(10.5)+4 f(11.25)+\end{aligned}\)

= - 1624.985447

Trapezoidal value will be  = - 1392.087124

Midpoint value will be  = -1744.434609

Simpson value will be  = - 1624.985447

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I understand that the question you are looking for is:

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.)12integral.gif0x3 sin(x) dx, n = 8

(a) the Trapezoidal Rule

(b) the Midpoint Rule

(c) Simpson's Rule

The set A that satisfies the given conditions is A = {1, 4}.Given the sets C = {0, 1, 2, 4} and B = {1, 3, 4, 5}, we need to determine the set A such that C - A = {0, 2} and B - A = {3}.

To find the set A, we need to determine which elements are present in C but not in A, as well as which elements are present in B but not in A.

From C - A = {0, 2}, we can deduce that A must contain the elements 1 and 4 because 0 and 2 are not present in C. Therefore, A = {1, 4}.

Similarly, from B - A = {3}, we can deduce that A must not contain the element 3. Therefore, A = {1, 4}.

Thus, the set A that satisfies the given conditions is A = {1, 4}.

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Given:

Angle a of a triangle is x, angle b is 2x, and angle c is (3/4)x.

To find:

The measure of angle b.

Solution:

The two column proof is

     Statement                                          Reason

1. \(\angle a=x,\angle b=2x,\angle c=\dfrac{3}{4}x\)                  1. Given

2. \(x+2x+\dfrac{3}{4}x=180^\circ\)                          2. Angle sum property

3. \(\dfrac{15}{4}x=180^\circ\)                                        3. Combining like terms

4. \(15x=720^\circ\)                                         4. Multiplying both sides by 4.

5. \(x=48^\circ\)                                              5. Dividing both sides by 15.

6. \(m\angle b=2x=2(48^\circ)=96^\circ\)                  6. On substituting the value of x in 2x.

Therefore, the measure of angle b is 96°.

It is true that the polynomial does not intercept with the x axis it only has the complex roots. The reason is because the polynomial lies on x-axis only when the value would be equal to zero.

The polynomial function is the value of numerical value that has the degree of the equation or the function that is more than the 2 or more degree. The polynomial function always includes the complex numbers and hence it is nor possible for the number to be equal to zero. The x-axis is the horizontal line of the graph, if the graph must be plotted then the value must (6,0) where the value of y axis is 0 and the value of x is 6 then the plotting of the graph will be on the x-axis. But this does not happen in the polynomial function.

The polynomial function can be plotted for complex roots where the coefficients will be complex numbers and the conjugated pairs of digits will be used.  

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Answer:

Jon lost a total of 3 kilograms in these 3 months. 9+(-4)+(-7)

The answer is B

Step-by-step explanation: