What is slope?

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

The vertices of the triangle are given as:

F = (-7,8)

G = (-1,1)

H = (-8,4)

The transformation rule is given as

270 degrees counterclockwise rotation

The rule of 270 degrees counterclockwise rotation is

(x,y) = (y,-x)

When the above rule is applied to the vertices of the triangle, we have:

F' = (8, 7)

G' = (1, 1)

H' = (4, 8)

Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

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(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.

A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.

a). Positivplate should be on the right and negativeplate should be on the left.

Potential equals zero at the center of the plates.

Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0

Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.

Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.

Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.

The potential is -8475 V on the contrary side of the negative plate.

Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.

b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J

Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.

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Answer:

first, how much were her songs? It's two songs each, and their separate prize was 0.99:

total prize was 2*0.99=1.98

this gets added to the membership prize:

19.99+1.98=21.97

you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.

B     19.99+.99n

C   okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total

D  N=99 songs

Answer:

after 8 years the value of the car would be $8,173.42

Step-by-step explanation:

the given P=15250

r=7.5/100=0.075

t=x

y = 15250*(1 - 0.075)^x

after 8 years we would have

x = 8

y = 15250*(1 - 0.075)^8

y = $8,173.42

after 8 years the value of the car would be $8,173.42

Answer:

8173.42

Step-by-step explanation:

I just know it's correct

Therefore , the solution of the given problem of percentage comes out to be The number of tickets sold fell by 20% , tomorrow ticket sold is 173 ticket and 35.92% percentage fall.

Any quantity that is expressed as a ratio of 100 is referred to as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." But it is commonly indicated by the "%" symbol. The percentage amount is flat with no dimensions. Percentages actually function as fractions because their numerator is 100. The percent symbol (%) should be used in front of a number to indicate that it is a percentage. If you correctly answered 75 of the total test questions, for example, you would score 75%.

Here,

Given:

Yesterday was 270, and today is 216.

Part A :The % change is calculated using the number of tickets that were sold the day before. Thus, 270 represents 100%.

the difference in ticket sales is 54 * (270 - 216).

54/270 is 0.20 x 100%, which is 20% * percent of change.

The number of tickets sold fell by 20%.

Part B:

20/100 * 216  = 43.2 or 43

So,

Tomorrow ticket sold are = 216 -43 = 173 ticket

Part C:

=> 270 - 173 = 97

=> 97 /270 * 100

=> 35.92%

Therefore , the solution of the given problem of percentage comes out to be The number of tickets sold fell by 20% , tomorrow ticket sold is 173 ticket and 35.92% percentage fall.

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Answer:

c and a

Step-by-step explanation:

Answer:

A for a Edge ppl out dere

Step-by-step explanation:

im right

a) Possible sources of bias include human error in reading the tape measure, tape measure stretching or shrinking over time, and the angle of the tape measure affecting the measurement. b) A cloth tape is more subject to bias. c) The bias in a cloth tape may change over time due to stretching or shrinking.

a) Possible sources of bias when using a tape measure could include: inaccurate or worn markings on the tape, parallax error due to viewing the tape at an angle, inconsistent tension on the tape, or user error in lining up the tape measure with the object being measured.

b) A cloth tape is generally more subject to bias than a steel tape because it is more likely to stretch or shrink with use and temperature changes, leading to inaccuracies in measurement.

c) Yes, the bias in a cloth tape may change over time due to stretching, shrinking, or wear and tear. It is important to regularly check and calibrate tape measures to ensure accurate measurements.

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Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

Step-by-step explanation:

This is kinda impossible to answer since we do not have the information "Task 1" provided

Using concepts of sample and population, it is found that the sample variance is representative of 362 and 5530 customers ages, option D.

------------------------

In sampling, the information is taken from a sample, and is used to estimate it for the whole population.

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Answer: 362

Step-by-step explanation:

Answer:

its the second one

Step-by-step explanation:

Answer:

In standard notation, the number is \(2.6 * 10^4\) light years

Step-by-step explanation:

We have to write the number 26,000 in standard notation,

in standard notation, there is 1 number before the decimal and all others come after the decimal and some power of 10 is multiplied depending upon the number,

in our case,

26000 = 2.6 * 10^4

(since the number is 26 thousand 2.6 ten thousand and ten thousand = 10^4)

The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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Answer:

So, first you need to set up a proportion and cross multiply. This allows you to  get an equation which you can solve for x.

Step-by-step explanation:

\(\frac{4}{5}\) × \(\frac{17}{x}\)  

Cross multiply to get 4x = 85

Next, isolate the x variable by dividing the 4 on both sides. This leaves you with x = 21.25.

Answer: x = 21.25

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

now dont

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bdhxhxhdbhdjwuh

The joint probabilities of grade and favorite food can be determined using the given information about the proportion of respondents in each grade and their favorite foods.

To determine if grade and favorite food are independent, we need to compare the joint probabilities with the product of the individual probabilities.

Let's calculate the joint probabilities of grade and favorite food based on the given information. We have three grades (1st, 6th, and 11th) and three favorite foods (A, B, and C). The proportion of 1st graders is 20%, 6th graders is 20%, and 11th graders is 60%. The proportions of respondents in each grade and their favorite foods are as follows:

- For 1st graders:

 - P(A|1st) = 0.2

 - P(B|1st) = 0.3

 - P(C|1st) = 0.5

- For 6th graders:

 - P(A|6th) = 0.4

 - P(B|6th) = 0.4

 - P(C|6th) = 0.2

- For 11th graders:

 - P(A|11th) = 0.5

 - P(B|11th) = 0.3

 - P(C|11th) = 0.2

To calculate the joint probabilities, we multiply the proportion of each grade by the proportion of each favorite food within that grade. For example, the joint probability of 1st graders choosing food A is 0.2 * 0.2 = 0.04.

After calculating all the joint probabilities, we can compare them with the product of the individual probabilities. If the joint probabilities are approximately equal to the product of the individual probabilities, then grade and favorite food are independent. However, if the joint probabilities differ significantly from the product of the individual probabilities, then grade and favorite food are dependent.

In this case, we compare the joint probabilities with the product of the individual probabilities and observe whether they are close or not. If the joint probabilities differ significantly, it implies that the preference for food is influenced by the grade level of the students. Thus, grade and favorite food are not independent.

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a) To find the equation of the least-squares line for the data, we need to calculate the slope and y-intercept. Using the given data points (79.8, 65.9), (45.9, 20.4), and (20.4, 12.4).

We can calculate the slope as m ≈ -0.58 and the y-intercept as b ≈ 67.21. Therefore, the equation of the least-squares line is y ≈ -0.58x + 67.21.

b) To estimate the remaining lifetime of a woman aged 30, we substitute x = 30 into the equation obtained in part (a). Using the equation y ≈ -0.58x + 67.21, we find y ≈ 49.61. Rounded to the nearest year, the estimated remaining lifetime for a woman aged 30 is approximately 50 years.

The procedure in part (b) is an example of interpolation. Interpolation involves estimating values within the range of the given data points. In this case, we are estimating the remaining lifetime for an age (30) that falls within the range of the given data points.

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Answer:

its 4/10

Step-by-step explanation:

To bring the 2,000 kg wagon to rest, the buffer stop needs enough springs to absorb its kinetic energy. The number of springs and their stiffness can be calculated using given parameters and formulas.



To calculate the number of springs required in the buffer stop, we need to find the energy of motion that needs to be absorbed. The kinetic energy (KE) of the wagon is given by KE = (1/2)mv^2, where m is the mass (2,000 kg) and v is the velocity (0.69 m/s). The KE is 477.9 J.Next, we calculate the potential energy stored in the compressed springs. The compression distance is 15 cm, which is 0.15 m. The potential energy (PE) stored in each spring is given by PE = (1/2)kx^2, where k is the stiffness of the spring and x is the compression distance.

The total energy absorbed by all the springs is equal to the kinetic energy of the wagon. Therefore, the number of springs required is given by N = KE / PE, where N is the number of springs.To determine the stiffness of the spring, we use the formula k = (Gd^4) / (8nD^3), where G is the shear modulus (0.8 x 10^5 N/mm^2), d is the wire diameter (2 cm), n is the number of coils (15), and D is the mean diameter of the coils (20 cm).

By substituting the values into the equations, we can find the number of springs and the stiffness of each spring.

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The calculated expectation of X is 0.1

From the question, we have the following parameters that can be used in our computation:

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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The probability that none of the 4 light bulbs work is 2.56%.

As per the given information, the probability that an individual light bulb works is 0.6.

Therefore, the probability that it does not work (i.e., fails) is:

1 - 0.6 = 0.4

Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.

Calculated as,

P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)

P(none work) = 0.4 × 0.4 × 0.4 × 0.4

P(none work) = 0.0256

Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.

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Answer:

3x - 10 = 13 would be the verbal expression where x = a number

Hope this helps!

By definition, you know that dilations have a scale factor, this is labeled k. To dilate something in the coordinate plane, multiply each coordinate by the scale factor.

If there is a reduction, then 0 < k < 1.

If there is an enlargement, then k > 1.

So, you have

Therefore, the correct answer is

Answer:

the answer is in the above attachment

hope this helped

A histogram is a column chart that displays the frequency of occurrence on the vertical axis.

In a histogram, the horizontal axis represents the range or categories of data, and the vertical axis represents the frequency or count of data falling within each range or category. The height of each column in the histogram corresponds to the frequency or count of data in that particular range or category.

Histograms are commonly used to visualize the distribution of numerical data and provide insights into the shape, center, and spread of the data. They are particularly useful in identifying patterns, outliers, and understanding the overall distributional characteristics of a dataset.

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Answer:

ok?

Step-by-step explanation:

Answer:

what's your question even-