The point (3,-2) is rotated 90º counterclockwise about the origin and then dilated by a scale factor of 4. What are the coordinates of the result.

Leon panetta says, " You can always take the comfort I the fact that they have their life for their country and will forever be remembered as heroes.

This statement reflects the sentiment that those who serve their country, particularly in military or other public service roles, do so with the understanding that they may be putting their lives on the line. While this sacrifice is significant, it is also viewed as a noble one, undertaken for the greater good of the country and its people.

Panetta's statement also acknowledges the importance of honoring those who have made this sacrifice by ensuring that they are remembered and recognized for their service. This recognition serves not only as a tribute to their bravery and dedication, but also as a reminder of the ongoing commitment to the values and principles for which they fought.

Ultimately, Panetta's statement highlights the complex and often difficult choices that individuals must make when they choose to serve their country, as well as the profound impact that their actions can have on both the individuals involved and the broader society as a whole.

Learn more about heroes here:https://brainly.com/question/1415908

#SPJ1

Answer:

i. 5 people

ii. Mean number of pets = 2

Step-by-step explanation:

i. From the information given in the question, the number of people surveyed by Edward is 5.

The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.

ii. The mean number of pets is the average number of pets among the people.

The mean number of pets = \(\frac{sum of the number of pets}{number of people}\)

                                     = \(\frac{0 + 1 + 2 + 3 + 4}{5}\)

                                     = \(\frac{10}{5}\)

mean number of pets  = 2

The mean number of pets is 2.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

Answer:

The domain is thus [0, 1400].

The range is thus [$450, $940]

Step-by-step explanation:

A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.

In this case the salesman has only 1400 items available to sell each week.  Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell).  The domain is thus [0, 1400].

The smallest amount the salesman could receive would be when he has not sold any items:  $450.  

The max amount is then $450 + ($0.35/item)(1400 items), or

                                         $450 + $490, or

                                          $940

The range is thus [$450, $940]

The solution to the given differential equation is \(\(x^2y - y^3 = C\), where \(C\)\)is an arbitrary constant.

To solve the given differential equation \(\( \frac{{dy}}{{dx}} = \frac{{x^2 + 3y^2}}{{2xy}} \)\), we can follow these steps:

Step 1: Multiply both sides of the equation by \(\(2xy\)\) to eliminate the denominator:

\(\(2xy \cdot \frac{{dy}}{{dx}} = x^2 + 3y^2\).\)

Step 2: Rearrange the equation to separate the variables:

\(\(2xy \cdot \frac{{dy}}{{dx}} - 3y^2 = x^2\).\)

Step 3: Rewrite the equation in a suitable form for integration:

\(\(2xy \cdot \frac{{dy}}{{dx}} - 3y^2 - x^2 = 0\).\)

Step 4: Recognize that the left-hand side of the equation resembles the derivative of a function of \(\(x\)\) with respect to \(\(y\):\)

\(\(\frac{{d}}{{dx}}(x^2y - y^3) = 0\).\)

Step 5: Integrate both sides with respect to \(\(x\)\):

\(\(\int \frac{{d}}{{dx}}(x^2y - y^3) \, dx = \int 0 \, dx\).\)

Step 6: Simplify the integration:

\(\(x^2y - y^3 = C\), where \(C\)\) is the constant of integration.

Therefore, the solution to the given differential equation is\(\(x^2y - y^3 = C\), where \(C\)\)is an arbitrary constant.

To learn more about differential equation from the given link

https://brainly.com/question/1164377

#SPJ4

Answer:

3x4^3/34

3×64/34=192/34=96/17 or 5.64

Answer:

There is no x, so I’ll find y

Step-by-step explanation:

-4(y-2)=12

Multiply -4 with y and -2

-4y+8=12

Then subtract 8 with its self and 12

-4y = 4

now divide both numbers with 4

y= -1

In testing the validity of the report stating that 26% of home buyers in the state of Florida are foreigners, a Type I error would occur if it was concluded that the proportion of foreign buyers **is greater or less than** the reported value of 26%.

A Type I error refers to rejecting the null hypothesis when it is actually true. In this case, the null hypothesis would be that the true proportion of foreign buyers in Florida is indeed 26%. If we were to incorrectly conclude that the proportion is different from 26%, either greater or less, it would be a Type I error.

It's important to note that a Type I error is typically controlled by the significance level, denoted as α, which is predetermined before conducting the hypothesis test. The significance level represents the maximum probability of committing a Type I error. Commonly used values for α include 0.05 or 0.01.

To avoid a Type I error and ensure accurate conclusions, a hypothesis test can be conducted. The null hypothesis, denoted as H0, would be that the true proportion of foreign buyers in Florida is 26%. The alternative hypothesis, denoted as Ha, would be that the true proportion differs from 26%, either greater or less.

By collecting a representative sample of home buyers in Florida and analyzing their nationalities, statistical tests such as a proportion test (e.g., z-test or chi-square test) can be performed. The test results will provide evidence to either reject or fail to reject the null hypothesis.

If there is sufficient evidence to reject the null hypothesis and conclude that the proportion of foreign buyers is different from 26%, caution must be exercised to minimize the probability of committing a Type I error. This can be achieved by choosing an appropriate significance level and interpreting the test results within that context.

In summary, a Type I error would occur if it was incorrectly concluded that the proportion of foreign buyers in Florida is either greater or less than the reported value of 26%. To mitigate the risk of Type I error, a hypothesis test should be conducted using an appropriate significance level.

Learn more about proportion here

https://brainly.com/question/1496357

#SPJ11

The algebraic expression of the statement is 4x + 6

The statement is given as:

The sum of four times a number and six

Rewrite as:

The sum of 4 times a number and 6

Let the number be x

So, we have

The sum of 4 times x and 6

Evaluate the product

The sum of 4x and 6

Evaluate the sum

4x + 6

Hence, the algebraic expression of the statement is 4x + 6

Read more about algebraic expression at

https://brainly.com/question/4541471

#SPJ1

The relative error of the given circular disk with radius 29 cm is 0.0138 and the % error is 1.384%

A) Maximum error - to find maximum error we can use area of the disk with the formula:

A = \(\pi\)r²

then, dA = 2\(\pi\)r dr

= 2\(\pi\)(29) 0.2

= 58\(\pi\) 0.2

= 36.424

therefore we know that the maximum error in the calculated area of the disk is 36.42

B) relative area - we need to find the relative error, we know the values of A, d and r so putting these values in the following formula we get,

since, A(r+dr)-A(r)

then, \(\pi\)(29+0.2)²-\(\pi\)(29)²

= \(\pi\)(29.2)²- \(\pi\)(29)²

= \(\pi\)(852.64-841)

= 11.64 \(\pi\) ,therefore area=  \(\pi\)r²= \(\pi\)(29)²

=841 \(\pi\)

relative error =  ΔA\A

Then, 11.64 \(\pi\) \ 841 \(\pi\)

= 0.0138

C) % error = ΔA\A×100

=1.384%

Therefore we can say that the relative error of the given circular disk with radius 29 cm is 0.0138 and the % error is 1.384%

To learn more about Error, click here:

brainly.com/question/11600101

#SPJ4

The probability numbers represented by the given phrases are:

a) > 0.5

b) > 0

c) > 0.7

d) > 0.9

a) "There is a better than even chance that..." implies a probability greater than 0.5. It suggests that the event is more likely to happen than not.

b) "A possibility exists that..." indicates that there is a non-zero probability that the event might occur. However, it does not imply a specific probability number.

c) "Has a high likelihood of occurring" suggests a probability greater than 0.7. It implies that the event is quite likely to happen.

d) "The probability is very high that..." indicates a probability greater than 0.9. It suggests that the event is almost certain to happen.

Therefore, the probability number represented by each phrase is consistent with its level of certainty, where (d) is the highest probability and (b) represents the lowest probability

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

Answer:

8 ×10=80

Step-by-step explanation:

because 1 time

8

10 times

add so

90

less

so that's it

80

Answer:

A checking account

Step-by-step explanation:

It's called a checking account

Answer:

4 is the answer

Step-by-step explanation:

Answer:

c

hihihihihihihihihihihihihi

how are you

Answer:

358 and remainder of 3

Step-by-step explanation:

1. Divide it like any other problem

Hope this helps

Answer:

5

Step-by-step explanation:

cause 4 cups are in 1 quart

Answer:

20 cups would equal 5 quarts

Step-by-step explanation:

The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

The recursive equations for the given two interacting population of hares and foxes are

h(t+1)=4h(t)-2f(t)

f(h+1)=h(t)+f(t)

for the given initial population in parts from a to c we need to create a close formula for h(t) and f(t)

h(t) = 100(2t+1)

f(t) = 100(2t-1)

h(t) = 200(2t+1)

f(t) = 100(2t-1)

h(t) = 300 + 200(2t+\((-1)^{t}\))

f(t) = 200 - 100\((-1)^{t}\)

The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

To learn more about recursive equations,

https://brainly.com/question/29224065

#SPJ4

Answer:

a. AD and DAB are not congruent

b. point E is 1.5 from point B

c. Yes, your friend is correct

Step-by-step explanation:

(a) tan(C) = opp/adj = 3/4 so C is 36.87 or roughly 37 degrees

so A = 90 - 37 = 53

tan(DAB) = opp/adj = (4/2)/3 = 2/3 so DAB is 33.7 or roughly 34 degrees

so CAD = 53 - 34 = 19

so CAD and DAB are not congruent

(b) angle bisector is the line or line segment that divides the angle into two equal parts. It intersects BC at E so CAE = EAB = 53/2 = 26.5

so tan(26.5) = BE/3

=> BE = 3 x tan(26.5) = 3(0.499) = 1.497 or roughly 1.5

(c) a line from E perpendicular to AC will intersect AC at F, which create angle EFA or EFC a 90 degree angle

Now we have 2 right triangles AEB and AEF with the same hypotenuse which is AE and the same angles at EAF and EAB which means EB and EF are congruent

According to the question The probability that no person is next to their partner is approximately 0.00022.

To find the probability that no person is next to their partner, we can consider the number of favorable outcomes and the total number of possible outcomes.

The total number of possible arrangements of 8 people is 8!, which is the factorial of 8 (8 factorial) and equals 40320.

Now, let's calculate the number of favorable outcomes, where no person is next to their partner. We can use the principle of derangements.

A derangement is a permutation of a set in which no element appears in its original position. In this case, we want to derange the 4 couples so that no person is next to their partner.

The number of derangements of 4 couples can be calculated using the formula for derangements:

\(D(4) = 4! * (1 - 1/1! + 1/2! - 1/3! + 1/4!)\)

= 9

So, there are 9 favorable outcomes where no person is next to their partner.

Therefore, the probability that no person is next to their partner is:

Probability = Number of favorable outcomes / Total number of possible outcomes

          = 9 / 40320

          ≈ 0.0002232143

Rounded to 5 decimal places, the probability is approximately 0.00022.

To know more about probability visit-

brainly.com/question/32875821

#SPJ11

Answer:

f(5)

-2(5)-3

-10-3=-13

g(-2)

-2(-2)^3-5

-2(-8)-5

16-5=11

Step-by-step explanation:

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

The group that Leon should survey to get the most accurate results is A. the students in his math class

A survey in human subjects research is a set of questions designed to elicit specific information from a specific group of people. Surveys can be conducted over the phone, by mail, on the internet, or even on street corners or in shopping malls.

Surveys are research methods that collect data from a predefined group of respondents in order to gain information and insights into a variety of topics of interest. They can serve multiple purposes, and researchers can carry them out in a variety of ways depending on the methodology used and the goal of the study.

In this case, the correct option is A.

Learn more about survey on:

https://brainly.com/question/14610641

#SPJ1

Complete question

Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often. Which group should Leon survey to get the most accurate results?

A.the students in his math class

B.every 5th student entering the school.

C.the boys he hangs out with at lunchtime.

D.every 8th student who uses the computer center

Answer:

C=24

Step-by-step explanations:

Answer:

the answer is D, 20.5cm

Step-by-step explanation:

x is hypotenuse

hypotenuse formula:

\(hypotenuse = \sqrt{ {a}^{2} + {b}^{2} } \)

let 15cm = a

let 14cm = b

\(x = \sqrt{15 {}^{2} + {14}^{2} } \)

\(x = \sqrt{225 + 196} \)

\(x = \sqrt{421} \)

\(x = 20.5cm\)

(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.

(c) To find the time it takes for the population to double, we can use the formula:

2P(0) = P(0)e^(kt)

where P(0) is the initial population size. Solving for t, we get:

t = ln(2)/k

(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.

(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]

(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]

(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]

(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]

Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.

Learn more about population here : brainly.com/question/27991860

#SPJ11

The required length of the hypotenuse of the triangle is √19.

To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

Hypotenuse:

\(= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}\)

Therefore, the required length of the hypotenuse of the triangle is √19.

Know more about right triangles here:

https://brainly.com/question/2437195

#SPJ4

Answer:

A $1.20

Step-by-step explanation:

Answer:   A) $1.20

Step-by-step explanation:   To get 10% of a number, you just need to divide by 10, so 12 ÷ 10 = 1.2.