Find the Scale Factor Sep 08, 5:47:30 PM The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form. ​

Answer:

D

Step-by-step explanation:

Answer:

A simple machine is the lever, wheel, pulley, inclined plane, wedge and the screw.

And a mechanism is steering mechanism in cars or the winding mechanism of a watch.

Step-by-step explanation:

The particular solution of the differential equation that satisfies the initial condition f(0) = 3 is f(x) = 3x^2 + 3.

To solve the differential equation f'(x) = 6x, we can integrate both sides with respect to x:

∫f'(x) dx = ∫6x dx

f(x) = 3x^2 + C

where C is the constant of integration.

To find the particular solution that satisfies the initial condition f(0) = 3, we can substitute x = 0 and f(x) = 3 into the equation above:

3 = 3(0)^2 + C

C = 3

Therefore, the particular solution of the differential equation that satisfies the initial condition f(0) = 3 is:

f(x) = 3x^2 + 3.

To learn more about particular solution visit: brainly.com/question/9043671

#SPJ11

Answer:

14 and 5

Step-by-step explanation:

the range is 5 and the domane is 14

The measure of angle BAC is equal to the measure of angle ABC.

Given: ∠ABD = ∠CAD and ∠BAD = ∠ACD

We need to find: ∠BAC

To solve this, we will use the property that the angles of a triangle add up to 180 degrees. We will start by analyzing triangle ABC.

In triangle ABC, the sum of angles is 180 degrees. So, we have:

∠BAC + ∠ABC + ∠ACB = 180 degrees ...(1)

Now let's analyze triangle ABD. Here, we know that ∠ABD = ∠CAD and ∠BAD = ∠ACD.

In triangle ABD, the sum of angles is 180 degrees. So, we have:

∠BAD + ∠ABD + ∠ADB = 180 degrees ...(2)

Substituting ∠BAD = ∠ACD and ∠ABD = ∠CAD from the given information, equation (2) becomes:

∠ACD + ∠CAD + ∠ADB = 180 degrees ...(3)

Comparing equations (1) and (3), we observe that the sum of the angles in triangle ABC is the same as the sum of the angles in triangle ABD. This suggests that the remaining angles in both triangles, ∠ABC and ∠ACB, must be equal to ∠ADB.

Since ∠ABC = ∠ADB, we can rewrite equation (1) as:

∠BAC + ∠ADB + ∠ACB = 180 degrees ...(4)

Now, substituting ∠ADB with ∠ABC in equation (4), we get:

∠BAC + ∠ABC + ∠ACB = 180 degrees ...(5)

Comparing equations (5) and (1), we see that they are identical. This implies that ∠BAC = ∠ABC.

Therefore, based on the given information and the properties of triangles, we can conclude that ∠BAC = ∠ABC.

To know more about triangle here

https://brainly.com/question/8587906

#SPJ4

Complete Question:

In the adjoining figure find the measure of ∠BAC if∠ABD=∠CAD and ∠BAD=∠ACD

Answer:

2x + 3 = -7  ---> x = -5

4.5x - 7 = 20 ---> x = 6

-3x + 7 = 28 ---> x = -7

Step-by-step explanation:

2x + 3 = -7

2x = -10

x = -5

4.5x - 7 = 20

4.5x = 27

x = 6

-3x + 7 = 28

-3x = 21

x = -7

Answer:

Answer: Yes , priya calculated correctly . The value of 40% of 75 is 30

Step-by-step explanation:

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

For similar question on matrix.

https://brainly.com/question/30292829

#SPJ11

Answer: The probability is 1/5

Step-by-step explanation: there are 5 even numbers in between 1 to ten and ten is one of them so it would be 1/5 probability hope this helps! :)

The requried probability that she drew the number 10 is 0.2.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
There are 5 even numbers and 5 odd numbers in the set of integers from 1 to 10. Since Cynthia is bringing a dessert, she must have drawn an even number.

Therefore, the probability that she drew the number 10 is given as,
= 1/5 = 0.2

since there is only 1 even number that is greater than 8 (i.e., 10).

Thus, the probability that she drew the number 10 is 0.2.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

I guess that would depend on the type of person they are-

Step-by-step explanation:

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

This is an equation but solving inequalities is very similar to solving equations.

\( - 2x + 3 = - 5\)

Subtract 3 from both sides.

\( - 2x = - 8\)

Divide by - 2 from both sides.

\(x = 4\)

(I originally typed the equation as - 2x + 3 = 5, my bad.)

Answer:

x=4

Step-by-step explanation:

m

a

t

h

w

a

y

Answer:

300

Step-by-step explanation:

I got it correct

Answer:

.8

Step-by-step explanation:

Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15

Step-by-step explanation:

explanation to 9:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.

Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

to know more about the combination

https://brainly.com/question/9752548

Answer:

(x−3−4)(x+1)

Step-by-step explanation:

Answer:

250 tagged 5500 total = 15 tagged x total x=330 fish were sampled.

Step-by-step explanation:

A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged. A ranger collected a sample in which there were 15 tagged fish. Approximately how many fish were in the sample the ranger collected?

a. Scatter plot: we can use the Years as the x-axis and Damage as the y-axis.

b. Regression line equation: y = -2.2909 + 1.3636x.

c. Scatter plot with regression line: [Insert scatter plot with regression line here].

d. Correlation coefficient: r ≈ 0.949.

e. Sum of squared deviations (SSD): SSD ≈ 170.94.

Prediction for a person who has smoked for 30 years: Predicted percentage of lung damage ≈ 38.963%.

a. To create a scatter plot, we can use the Years as the x-axis and Damage as the y-axis. Below is the resulting scatter plot.

b. To determine the equation of the best-fit regression line, we can use the formula y = a + bx, where a is the y-intercept and b is the slope. The values of a and b can be calculated using the following formulas:

b = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)

a = (∑y - b∑x) / n

Here, n represents the sample size, ∑x, and ∑y are the sums of the x and y values, and ∑xy and ∑x^2 are the sums of the products and squares of the x and y values, respectively.

After performing the necessary calculations, we find:

b = (7(1924) - (173)(262)) / (7(642) - (173)^2) ≈ 1.3636

a = (176/7) - (1.3636/7)(118) ≈ -2.2909

Therefore, the equation of the regression line is y = -2.2909 + 1.3636x.

c. We can plot the regression line on the scatter plot. Here is the updated scatter plot with the regression line:

d. The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.

The formula for the correlation coefficient is:

r = (n∑xy - ∑x∑y) / √[(n∑x^2 - (∑x)^2)(n∑y^2 - (∑y)^2)]

After performing the calculations, we find:

r = (7(1924) - (173)(262)) / √[(7(642) - (173)^2)(7(2878) - (176)^2)] ≈ 0.949

Therefore, the correlation coefficient is r ≈ 0.949.

e. The sum of squared deviations (SSD) is a measure of the variation around the regression line. The formula for SSD is:

SSD = Σ(yi - yi)^2

where yi is the observed value and yi is the predicted value.

After substituting the values, we find:

SSD = (20 - 15.3)^2 + (14 - 9.1)^2 + (54 - 39.8)^2 + (63 - 59.6)^2 + (17 - 11.8)^2 + (71 - 67.1)^2 + (23 - 18.4)^2 ≈ 170.94

Therefore, the SSD is approximately 170.94.

To predict the percentage of lung damage for a person who has smoked for 30 years, we can substitute x = 30 into the regression equation:

y = -2.2909 + 1.3636(30) ≈ 38.963

Therefore, the predicted percentage of lung damage for a person who has smoked for 30 years is approximately 38.963%.

Learn more about the correlation coefficient

https://brainly.com/question/29704223

#SPJ11

The type of study that is generally considered to be the most complex to plan and arrange is an experiment.

An experiment is a type of research study in which the investigator manipulates one or more variables and observes the effects on one or more outcome variables.

One of the main challenges of conducting an experiment is that the investigator needs to carefully control for all of the variables that could potentially affect the outcome of the study. This requires a high level of planning and organization to ensure that the experiment is conducted in a systematic and controlled manner.

In contrast, observational studies and sample surveys do not involve manipulating variables and are generally considered to be less complex to plan and arrange. Observational studies involve observing and collecting data from naturally occurring situations, and sample surveys involve collecting data from a sample of individuals or units.

Learn more about Experiments here:

https://brainly.com/question/26117248

#SPJ4

Answer:

Sometimes, simplifying a fraction, or reducing the fraction, can help give more information about a problem. When we simplify a fraction, we are writing another fraction that is equal to the original; it is just written in another way.

Answer:

it helps in better understanding and gives more information about the problem

Step-by-step explanation:

What traumatic stressors have you faced in your life? What chronic stressors have you faced or do you currently face? What coping strategies and lifestyle choices do you employ to respond to such stressors?

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

Therefore, we should use the tan trig ratio.

\(\implies \sf \tan(36^{\circ})=\dfrac{23}{x}\)

\(\implies \sf x=\dfrac{23}{\tan(36^{\circ})}\)

Substituting the given value for tan 36°:

\(\implies \sf x \approx \dfrac{23}{0.727}\)

\(\implies \sf x\approx31.64\)

Answer:

No. Only 1 to 100, logically.

Let's make a scenario to solve this.

So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.

Now we must create another scenario.

For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

Step-by-step explanation:

Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

Answer:

12 apples

Step-by-step explanation:

apples basked into a pie = 2/3 * 18 = 12

Answer:

simplified:  \(\frac{3}{5}\)

unsimplified:  \(\frac{12}{20}\)

Step-by-step explanation:

Since the fractions have the same denominator, all we have to do is subtract the numbers in the numerator:

15 - 3 = 12

The difference of the two fractions is \(\frac{12}{20}\). To simplify this answer, divide both the numerator and the denominator by 4:

12/4 = 3

20/4 = 5

The difference in simplified form is \(\frac{3}{5}\).

I hope this helps. :)

To find the minimum score you would need to be in the top 4%, we need to use the standard normal distribution and the given z-score.

First, we find the z-score corresponding to the top 4% using a standard normal distribution table or a calculator:

z = invNorm(1 - 0.04) = invNorm(0.96) = 1.7507 (rounded to four decimal places)

The minimum score needed to be in the top 4% is the score that corresponds to this z-score in the distribution of exam scores. We can use the formula for standardizing a normal random variable to find this score:

z = (X - μ) / σ

where X is the exam score, μ is the mean of the exam scores, and σ is the standard deviation of the exam scores.

Solving for X, we get:

X = zσ + μ = 1.75076.1 + 76.4 = 87.46

Therefore, the minimum score you would need to be in the top 4% is approximately 87.46 points.

To Learn More About standard deviation  click

https://brainly.com/question/23907081

#SPJ4