I need help pls lol....

7.6x-1 is the answer

Answer:

17.50

Step-by-step explanation:

First find the discount

25 * .3

7.5

Subtract this from the original price

25-7.5

17.50

Answer:

y(t) = Ce^(kt) is indeed a correct solution for this exponential growth model ODE.

Step-by-step explanation: Here are the steps to check if your guess is a correct solution:

1. Make a guess: Since the problem involves an exponential growth model, we can guess that the solution y(t) is an exponential function of t, i.e., y(t) = Ce^(kt), where C is a constant.

2. Calculate the derivative: Now, find the first derivative of y(t) with respect to t, which is dy/dt. Using the chain rule, dy/dt = d(Ce^(kt))/dt = kCe^(kt).

3. Plug the guess into the ODE: Substitute your guess y(t) = Ce^(kt) and its derivative dy/dt = kCe^(kt) into the original ODE, dy/dt = ky.

4. Check if the equation holds true: By substituting, we get kCe^(kt) = k(Ce^(kt)). This equation holds true for all values of t, as long as k is not zero.

Since our guess y(t) = Ce^(kt) and its derivative dy/dt = kCe^(kt) satisfy the given ODE, dy/dt = ky, we can conclude that y(t) = Ce^(kt) is indeed a correct solution for this exponential growth model ODE.

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The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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ASA congruent triangle stands for Angle-Side-Angle.

According to the question,

We have the following information:

ASA congruent triangle

We know that ASA is a property to prove that two triangles are congruent in the same way the properties are used to prove that two triangles are similar.

ASA stands Angle-Side-Angle which means that two triangles can be congruent if the two angles and one side of one triangle is equivalent to the corresponding two angles and side of the other triangle.

There are other properties to prove two triangles are congruent. For example, there is SSS and SAS.

Hence, ASA congruent triangle stands for Angle-Side-Angle.

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Answer:

21.66666667

Step-by-step explanation:

3x-4(0)=65

3x=65

x=21.66666667

You replace y wil 0 when you are sovling for x

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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The number of ways to roll a total of 24 with four 10-sided dice is 2925.

To solve this problem using inclusion-exclusion, we need to consider all possible ways to roll a total of 24 with the four 10-sided dice, and then subtract the number of cases where at least one die rolls a number greater than 10.

However, we also need to add back the number of cases where at least two dice roll a number greater than 10, since they were subtracted twice.

Let A be the event that at least one die rolls a number greater than 10, and let B be the event that at least two dice roll a number greater than 10. Then we can use the inclusion-exclusion principle:

N(A) = total number of ways to roll 24 with four 10-sided dice = (number of solutions to x1 + x2 + x3 + x4 = 24) = C(24 + 4 - 1, 4 - 1) = C(27, 3) = 2925

N(B) = total number of ways to roll 24 with at least two dice greater than 10

If two dice are greater than 10, then their sum can be 11, 12, ..., 18, for a total of 8 possibilities. For each of these cases, we need to find the number of ways to distribute the remaining 16 points among the four dice, where each die can have any value from 1 to 10. This can be done using stars and bars:

For 11, the remaining 16 points can be distributed among 4 dice in C(16 + 4 - 1, 4 - 1) = C(19, 3) = 969 ways.

For 12, the remaining 16 points can be distributed among 4 dice in C(14 + 4 - 1, 4 - 1) = C(17, 3) = 680 ways.

For 13, the remaining 16 points can be distributed among 4 dice in C(12 + 4 - 1, 4 - 1) = C(15, 3) = 455 ways.

For 14, the remaining 16 points can be distributed among 4 dice in C(10 + 4 - 1, 4 - 1) = C(13, 3) = 286 ways.

For 15, the remaining 16 points can be distributed among 4 dice in C(8 + 4 - 1, 4 - 1) = C(11, 3) = 165 ways.

For 16, the remaining 16 points can be distributed among 4 dice in C(6 + 4 - 1, 4 - 1) = C(9, 3) = 84 ways.

For 17, the remaining 16 points can be distributed among 4 dice in C(4 + 4 - 1, 4 - 1) = C(7, 3) = 35 ways.

For 18, the remaining 16 points can be distributed among 4 dice in C(2 + 4 - 1, 4 - 1) = C(5, 3) = 10 ways.

So, the total number of ways to roll 24 with at least two dice greater than 10 is:

N(B) = 8*(969 + 680 + 455 + 286 + 165 + 84 + 35 + 10) = 38304

By the inclusion-exclusion principle, the number of ways to roll a total of 24 with four 10-sided dice is:

N = N(A) - N(B)

N = 2925

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Answer:

14 : 8

21 : 12

Step-by-step explanation:

7 : 4

When calculating equivalent ratios, if you multiply the left number by something, you must also multiply the right number by the same number.

7 × 2 = 14

4 × 2 = 8

7 × 3 = 21

4 × 3 = 12

Two equivalent ratios:

14 : 8

21 : 12

The population in order to calculate the mean height will be all the students attending the college.

The population is the entire group of individuals being studied. In this case, the population is all the students who goes to the college.

Every member of a group constitutes a population. It is the inverse of a sample, which is a percentage or proportion of a group. It is sometimes possible to poll every member of a group. The U.S. Census is a quintessential example of a population, as it is required by law that every member of the U.S. population reply. In most circumstances, surveying everyone is unfeasible in statistics.

Consider how long it would take you to phone every dog owner in the United States to find out what brand of dog food they preferred. Furthermore, people may choose not to respond or may forget to respond, resulting in incomplete censuses. By definition, incomplete censuses become samples.

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Answer:

98 adults

Step-by-step explanation:

98×6=588

124-98=26 ppl

26×3.5=91

588+91=679

Answer:

x = 3 and y = 4

Step-by-step explanation:

4x + 6 = 7x - 3

3x = 9

x = 3

4y - 3 = 3y + 1

y = 4

The total number of students surveyed (170 in this case) as the full height of the bar, with each vacation category represented as a different color within the bar.

The term "data range" refers to the range or set of values that a particular data set or variable can take. It represents the minimum and maximum values that can be observed in a given data set.

Enter the data into a worksheet, with the vacation categories in column A and the number of students in column B.

Select the data range, including both columns.

In the Excel ribbon, click on the "Insert" tab.

Click on the "Stacked Bar" chart type in the "Charts" section.

The stacked bar chart will be created in the worksheet. You may want to adjust the chart title, axes titles, and legend to make the chart easier to read.

The resulting chart will show the total number of students surveyed (170 in this case) as the full height of the bar, with each vacation category represented as a different color within the bar. The height of each section of the bar will correspond to the number of students who chose that vacation category. This will allow you to compare the popularity of each vacation category to the whole.

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The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

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Answer:

Q

Step-by-step explanation:

I just know I guess

Answer:

I DONT KNOW WHAT IT IS BUT ITS NOT Q TRUST ME

Step-by-step explanation:

Answer:

Step-by-step explanation:

I’m not good at explaining but basically if you do 20n - 15n it would be 5n

Answer:

(5/6)*(2 dozen) = 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 dozen = 24

5/6(24)= 5*4= 20

Using concepts of Errors and Measurement, we got 252cm³ will be  the maximum error in volume of sphere.

We know that volume(V) of sphere is given by  =\(\frac{4.\pi .r^{3} }{3}\),where r is the radius of the volume.

If the error in the measured value of r is denoted by then the corresponding error in the calculated value of Volume is , which can be approximated by the differentiating the volume with respect to radius.

When r = 20 and dr = 0.05, this becomes:

d(V)/dr = 4×π×r²

=>d(V)=(4×π×r²)×dr

On putting the values,

=>d(V)=4×π×(20²)×(0.05)

=>d(V)=4×3.14×400×0.05

=>d(V)=252

Hence, the maximum error is 252cm³ in calculating the volume of sphere if we use the given radius.

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In these options, 0ption D that is, Multicollinearity, is not an assumption of the regression model.

The regression model is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. There are several assumptions associated with the regression model, which should be satisfied for accurate and reliable results.

Option A, Linearity, assumes that there is a linear relationship between the independent variables and the dependent variable. It implies that the relationship can be represented by a straight line.

Option B, Independence, assumes that the observations or data points used in the regression model are independent of each other. This means that the value of one observation does not depend on or influence the value of another observation.

Option C, Homoscedasticity, assumes that the variance of the errors or residuals in the regression model is constant across all levels of the independent variables. It implies that the spread or dispersion of the residuals is consistent.

Option D, Multicollinearity, is not an assumption of the regression model. Multicollinearity refers to a high correlation between independent variables in the regression model, which can cause issues in estimating the individual effects of the independent variables.

Therefore, the correct answer is D) Multicollinearity, as it is not an assumption of the regression model.

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To determine the maximum number of pens he can buy, we need to consider the total discount of $70 and the cost of each pen, which is $9.

Assume he buys an "x" number of pens.

The total discount he receives can be calculated by multiplying the number of pens by the cost of each pen:

$9x

Based on, the shopkeeper agrees to give him a total discount of $70, so we have the equation:

$9x = $70.

To determine the maximum number of pens he can buy, we need to solve for "x".

Dividing both sides of the equation by $9:

x = $70 / $9.

x= 7.77.

Therefore, the maximum number of pens he can buy is 7.

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The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.

To give you a general idea of how to approach this problem, follow these steps:

1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.

If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.

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Answer: 5.872

Step-by-step explanation:

Two thirds of twelve is eight and three sevenths of five is around 2.14 so subtract 2.14 from eight and you get the answer above

A distribution of scores in which almost the entire class scored very high, but a few students scored fairly low would be representing a negatively skewed distribution.

A real-valued random variable's probability distribution's asymmetry can be quantified by looking at how skew it is around its known as skewness.

There are three types of probabilities of a value can be:

Positively skewed

negatively skewed

unskewed

From the given question, the distribution of scores in which almost the entire class scored very high, but a few students scored fairly low would be representing a negatively skewed distribution.

Therefore the correct answer would be an option (D)

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Your question is incomplete, probably the missing part is:

A distribution of scores in which almost the entire class scored very low, but a few students scored fairly high would be ______.

a. normally distributed

b. positively skewed

c. unskewed

d. negatively skewed

The product of the complex numbers is -3 + 29i

Let the complex numbers be

Their difference M - N = x + iy - (a + ib) = x - a + i(y - b)

Their sum M + N = x + iy + (a + ib) = x + a + i(y + b)

Since the sum of two complex numbers is 7 + 8i, we have that

M + N = x + a + i(y + b) = 7 + 8i

⇒x + a = 7  (1) and y + b = 8 (2)

Also, the difference of the numbers is 1 - 2i, we have that

M - N = x - a + i(y - b) = 1 - 2i

⇒ x - a = 1 (3) and y - b = -2 (4)

Adding equations (1) and (2), we have

x + a = 7

+

x - a = 1

2x = 8

x = 8/2

x = 4

Substituting x = 4 into equation (1), we have

x - a = 1

4 - a = 1

a = 4 - 1

a = 3

Adding equations (2) and (4), we have

y + b = 8

+

y - b = -2

2y = 6

y = 6/2

y = 3

Substituting y = 3 into equation (2), we have

y + b = 8

3 + b = 8

b = 8 - 3

b = 5

So,

So, their product M × N = (4 + 3i)(3 + 5i)

= 4 × 3 + 4 × 5i + 3 × 3i + 3i × 5i

= 12 + 20i + 9i - 15

= 12 - 15 + 20i + 9i

= -3 + 29i

So, the product of the complex numbers is -3 + 29i

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Answer:

360 yards per 5 minutes.

Step-by-step explanation:

A cheetah can ride up to 105,600 yards per hour.

An hour is equal to 60 km.

It can run up to 'x' miles per 5minutes.

So, 360 x 5/ 5

= 1800/5

=  360 yards per 5 minutes.

HOPE THIS HELPS !!

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:

1.53x10^8

Step-by-step explanation:

3.4 x 4.5 = 15.3 = 1.53x10

10^4 x 10^3 = 10^7

1.53x10x10^7 = 1.53x10^8