40, 24, 72/5
Find the 10th term

To solve:

We multiply the denominator by 5:

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then:

The slopes of GH, HI, IJ, and JG include the following:

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope GH = (-3 + 9)/(-4 + 7)

Slope GH = 6/3

Slope GH = 2.

Slope HI = (5 + 3)/(-6 + 4)

Slope HI = -8/2

Slope HI = -4.

Slope IJ = (-1 - 5)/(-9 + 6)

Slope IJ = -6/-3

Slope IJ = 2.

Slope JG = (-9 + 1)/(-7 + 9)

Slope JG = -8/2

Slope JG = -4.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

3 times osndneif8dhwlcodk

Answer:

3 times

Step-by-step explanation:

96/32=3

32+32=64+32=96

In a right triangle, the Pythagorean theorem states that the square of the length of the side opposite the right angle (side AB) plus the square of the length of the side adjacent to the right angle (side BC) is equal to the square of the length of the hypotenuse (side AC).

In a right triangle, one of the angles is a right angle, which measures 90 degrees. Let's label the sides of the triangle as follows: AB is the side opposite to the right angle, BC is the side adjacent to the right angle, and AC is the hypotenuse, which is the side opposite to the remaining acute angle.

According to the Pythagorean theorem, in any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse. Mathematically, it can be expressed as:

A\(B^{2}\) + B\(C^{2}\) = A\(C^{2}\)

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

As per the unitary method, the amount of white beans are there than kidney beans are 30.

The term unitary method is known as a technique for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value.

Here we have given that in a jar containing dry beans, the ratio of white beans to kidney beans is 5:4.

And we also know that if 30 white beans were replaced with 30 kidney beans, the ratio would be 1:1.

Here we have consider that let the number of pinto beans be x and that is the number of white beans will be x + 30

In which means the total number of beans in the jar will be written as,

=> x + x + 30 = 2x + 30

Here we know that the Total ratio is calculated as,

=> 5 + 4  = 9

In order to find the number of pinto beans then it can be calculated as,

=> ratio of pinto beans / Total ratio  X Total number of beans

Which can be written as.

=>  (2x + 30) = x

When we simplify this one then we get the value of x as,

=> x = 30.

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4

Are 5,040 different possible settings for the suitcase lock if all four digits have to be different.

For the first dial, there are 10 possible digits (0 to 9) that can be set. For the second dial, there are 9 remaining digits to choose from (since we cannot repeat the digit from the first dial). For the third dial, there are 8 remaining digits to choose from (since we cannot repeat any of the digits from the first two dials). Finally, for the fourth dial, there are 7 remaining digits to choose from.

Therefore, the total number of possible settings for the suitcase lock with all four digits different is:

10 × 9 × 8 × 7 = 5,040

There are 5,040 different possible settings for the suitcase lock if all four digits have to be different.

To learn more about suitcase visit:

https://brainly.com/question/16729818

#SPJ11

A reason not to use a chi-square test of homogeneity to analyze a set of data is if the assumptions of the test are not met. These assumptions include:

1. The data must be categorical, meaning it consists of counts or frequencies in different categories.

2. The sample size must be large enough, with an expected frequency of at least 5 in each cell of the contingency table.

3. The observations must be independent, meaning each data point should not influence the others.

If any of these assumptions are not met, it may not be appropriate to use a chi-square test of homogeneity to analyze the data. Instead, you may need to consider alternative statistical methods that better suit your data and research question.

Learn more about Chi-Square test here: brainly.com/question/14082240

#SPJ11

The turning point of a parabola, also called the vertex, is the point on the parabola where the graph changes from increasing to decreasing, or from decreasing to increasing.

What is parabola?

A parabola may be a formed plane curve wherever any point is at an equal distance from a fixed point (known because the focus) and from a fixed line that is known because the directrix.

Main BODY:

When a graph is rising from left to right, we say that it is increasing. When a graph is falling from left to right, we say that it is decreasing. The points at which this trend changes in a graph are called the turning points of the graph. Since a parabola has the shape of a U or an upside down U, it has exactly one turning point, which we can identify using the following facts:

Hence ,The turning point of a parabola is called the vertex.

to know more about vertex  , visit:

https://brainly.com/question/21191648

#SPJ1

Answer:

B

Step-by-step explanation:

Hshwhehebebebebeheheh

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

learn more about hypothesis click here:

https://brainly.com/question/606806

#SPJ11

You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

Learn more about TI-84 calculator here

https://brainly.com/question/32748414

#SPJ4

To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

About coefficient of variation here:

https://brainly.com/question/30783938

#SPJ11

   "

Answer:

Step-by-step explanation:

Linear velocity and angular velocity are related by the formula:

v = ωr

ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.

ω = 2 x 2π x 25/1

ω = 100π

v = 100π x 25

= 2500π feet per minute

Answer:

22

Step-by-step explanation:

AB + BC = AC

4x -6 + 4 = 2x + 10  Combine like terms

4x -2 = 2x + 10  Subtract 2s from both sides of the equation

2x -2 = 10  Add 2 to both sides

2x = 12  Divide both sides by 2

x = 6

Plug in 6 for x in AC

2x + 10

2(6) + 10

12 + 10

22

The answer is 3x^3+15x^2-12x.

The weight of 1 cubic foot of water, represented by x, is approximately 62.4 pounds.

We have,

Let's use the variable x to represent the weight of 1 cubic foot of water.

According to the given information, the larger aquarium with 1.7 cubic feet of water weighs 37.44 pounds more than the smaller aquarium with 1.1 cubic feet of water.

We can set up the equation as follows:

1.7x = 1.1x + 37.44

Here, 1.7x represents the weight of the water in the larger aquarium (1.7 cubic feet multiplied by the weight per cubic foot), 1.1x represents the weight of the water in the smaller aquarium (1.1 cubic feet multiplied by the weight per cubic foot), and 37.44 is the weight difference between the two aquariums.

To find the weight of 1 cubic foot of water, we can solve this equation for x.

Subtracting 1.1x from both sides of the equation:

1.7x - 1.1x = 1.1x + 37.44 - 1.1x

0.6x = 37.44

Dividing both sides of the equation by 0.6:

x = 37.44 / 0.6

x ≈ 62.4

Therefore,

The weight of 1 cubic foot of water, represented by x, is approximately 62.4 pounds.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Answer:

20 boxes

Step-by-step explanation:

12 cans = 1 box

240 = x

apply rule of three

(240/12) x 1 = x

20 = x

Answer:

She will need 20 boxes

Step-by-step explanation:

Take the total number of cans and divide by the number of cans per box

240/12

20

She will need 20 boxes.

Answer:

72hrs

Step-by-step explanation:

I have cancelled both threes because the denominator was the same.

I hope you understand the method I have used.

good day.

Answer:

• Width: 56 yards.

• Length: 232 yards.

Explanation:

Let the width of the rectangular field = w

Quadruple the width = 4w

The length is 8 yards longer than quadruple the width. Therefore:

The perimeter of the field is 576 yards.

We solve the equation for w.

The width of the rectangular playing field is 56 yards.

Next, we find the length.

The length of the rectangular playing field is 232 yards.

Answer:

B, 2(10^4)

Step-by-step explanation:

2(10^3)= 2000

2(10^4)= 20000

2(10^4) Is closer to 16790 than 2(10^3)

Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

Learn more about model here

https://brainly.com/question/29810500

#SPJ4

The cubic feet of sand and cement are needed to make 160 cubic feet of concrete mix include 100 and 69 cubic feet respectively.

The mixture of concrete is made up of 62.5% sand and 37.5% cement.

In this case, 160 cubic feet of concrete mix is needed.

Sand will be:

= Percentage × Total mix

= 62.5% × 160

= 100 cubic feet

Cement will be:

= 37.5% × 160

= 60 feet

Learn more about percentages on:

brainly.com/question/25818989

#SPJ1

The total cost of skateboard after tax is removed = $87.53

Initial cost of scateboard = $79.57

Discount = 12%

Discounted price = Initial cost of scateboard × 12%

= 79.57 × 0.12

Discounted price = 9.5484 = $9.55

Note: Discount is subtracted while sales tax is added to the cost of item

The amount left after discount is removed before tax= Initial cost of scateboard - Discounted price

The amount left after discount is removed = $79.57 - $9.55

The amount left after discount is removed = $70.02

Sales tax = 25%

Amount of sales tax = The amount left after discount is removed × 25%

= $70.02 × 0.25 = 17.505

Amount of sales tax = $17.51

The total cost of skateboard after tax is removed = The amount left after discount is removed + Amount of sales tax

The total cost of skateboard after tax is removed = $70.02 + $17.51

The total cost of skateboard after tax is removed = $87.53

Answer:

10x + 4

Step-by-step explanation:

10x + 4

There are two sides on each so 2(x+1) = 2x + 2 and 2(4x + 1) = 8x + 2. (8x+2) + (2x + 2) = 10x + 4

The function f(x) is defined as the power series:

f(x) = (-1)^n * x^(2n) / ((2n)!)

Let's analyze the properties of this function based on the given power series representation.

1. Differentiability: The function f(x) defined by a power series is differentiable within its interval of convergence. Since no specific interval is given for x, we cannot determine whether f(x) is differentiable at any specific point, such as x = 5.

2. Continuity: Power series representations of functions are continuous within their interval of convergence. Therefore, we can conclude that f(x) is continuous for all values of x within its interval of convergence. However, without knowing the interval of convergence, we cannot make any specific conclusions about the continuity of f(x) at x = 5.

3. Limit as x approaches 5: Without knowing the interval of convergence of the power series, we cannot determine the behavior of the function f(x) as x approaches 5.

4. Existence of f(5): To find the value of f(5), we need to substitute x = 5 into the power series representation. However, without knowing the interval of convergence, we cannot determine if f(x) is defined or converges at x = 5.

5. Integral of f(c) dx: Without a specific interval of integration and knowing the convergence properties of the power series, we cannot determine the existence or value of the integral ∫ f(c) dx.

In summary, based on the given power series representation of f(x), we cannot determine whether f(x) is differentiable, continuous, or has specific properties at x = 5 or any other point, without knowledge of the interval of convergence.

To know more about differentiable visit-

brainly.com/question/32571952

#SPJ11

The given figure is a right triangular prism, with 2 parallel and congruent triangular faces and 3 rectangular faces.

The triangular faces have sides 13 ft, 13ft and 24 ft and the height of 5 ft.

Two of the rectangular faces are 13 ft x 30 ft and the remaining face is 24 ft x 30 ft.

Surface area is the sum of areas of all 5 faces.

Area formula for triangle is A = bh/2 and for rectangle is A = ab.

Let's verify the steps of calculation.

Step 1

This is right

Step 2

This is wrong

Step 3

This is right

Step 4

Correction in step 2, it should be 720 but not 1440.

Correction in last step, the sum:

Answer:

340%

Step-by-step explanation:

1980s = 5 months of very hot weather

1990s = 22 months of very hot weather

What is the percent increase in hot weather months from the

1980s to the 1990s?

Percent increase = (22 months - 5 months) / 5 months × 100

= 17 / 5 × 100

= 3.4 × 100

= 340%

Percent increase in hot weather months from the 1980s to the 1990s is 340%