3), passes throu Use the equation of a circle to find points the line x + y = 2 each a distance of 5 from 13. Find the center and radius for each of the (2, 5) circle to find two points 11. stance of 5 from (3, 6). (0, 3). Example - circle with the end- pllows: Solutid (a) (x - 0)2 + (y - 0)2 = 16 (b) (x - 2)+ (y + 2)2 = 25 (c) (x + 1)² + (y - 1)² = 4 (d) (x - h)2 + (v - k)2 = p2 tersections crist for

Jack needed 7 7/8 pounds of flour, which is answer choice d).

In the context of the question, "pounds" refers to a unit of weight or mass, specifically the weight of the flour needed to make the cookies.In the question, the amount of flour needed to make the cookies is measured in pounds. Pounds is a unit of weight or mass commonly used in the United States and other countries. It is abbreviated as "lbs" or "lb". When we talk about the weight of something in pounds, we are referring to how heavy it is. In this case, Mary needed 2 1/4 pounds of flour to make her batch of cookies, and Jack needed 7 7/8 pounds of flour to make his larger batch of cookies.

In the given question,

Mary baked a batch of cookies that needed 2 1/4 pounds of flour. Let's call the amount of flour Jack needed "x". We know that Jack made 3 1/2 times the amount of cookies that Mary made, so we can set up a proportion:

Jack's cookies / Mary's cookies = 3.5

The amount of flour needed is proportional to the number of cookies made, so we can write:

x / 2.25 = 3.5

Solving for x, we get:

x = 2.25 * 3.5 = 7.875

So Jack needed 7 7/8 pounds of flour, which is answer choice d).

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Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer:

the number of possible reading schedules is 1.064301638 × 10¹²

Step-by-step explanation:

Given that :

The English teacher needs to pick 10 books to put on her reading list for the next school year.

If the English teacher picks at most  3 poetry books i.e no  more than 3 poetry books from 8 books. and other books are picked from (6+4+4 ) = 14 books

Thus; the number of ways to pick the books are :

\(\left[\begin{array}{c}8\\0\\ \end{array}\right] \ \left[\begin{array}{c}14\\10\\ \end{array}\right]+ \left[\begin{array}{c}8\\1\\ \end{array}\right] \left[\begin{array}{c}14\\9\\ \end{array}\right] + \left[\begin{array}{c}8\\2\\ \end{array}\right] \left[\begin{array}{c}14\\8\\ \end{array}\right] + \left[\begin{array}{c}8\\3\\ \end{array}\right] \left[\begin{array}{c}14\\7 \\ \end{array}\right]\)

\(= [ \dfrac{8!}{0!(8-0)!}* \dfrac{14!}{10!(14-10!)} ] + [ \dfrac{8!}{1!(8-1)!}* \dfrac{14!}{9!(14-9)!}]+ [ \dfrac{8!}{2!(8-2)!}* \dfrac{14!}{8!(14-8)!}] + [ \dfrac{8!}{3!(8-3)!}* \dfrac{14!}{7!(14-7)!}]\)

\(= [ 1*1001]+[8*2002]+[28*3003]+[56*3432]\)

\(\mathbf{= 293293}\)

However, to determine how many reading schedules that are possible we use the relation:

Number of ways to pick a book × \(^{10}P_{10}\)

\(= 293293* \dfrac{10!}{(10-10)!}\)

= 293293 ×  10!

= 1.064301638 × 10¹²

Thus , the number of possible reading schedules is 1.064301638 × 10¹²

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer: 50%

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

D: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Answer:

187

Step-by-step explanation:

The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

y = x - 10

Step-by-step explanation:

slope - intercept form: y = mx + b

y2 - y1         -4 - ( -8 )            4

---------   =   -------------   =   --------   =   1

x2 - x1           6 - 2               4

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

y = mx + b

y = 1x + b

pick whichever point you want to use, for this I'll use (2, -8)

-8 = 1( 2) + b

-8 = 2 + b

-2   -2

-10 = b

y = 1x - 10 or y = x - 10

I hope this helps!

Answer:

26

Step-by-step explanation:

if she is 8 years older, then is just 34-8 which is 26

Based on the Alternate Exterior Angles Theorem, the measure of angle 7 is 65 degrees.

The Alternate Exterior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent (equal in measure). In other words, the angles on the outside of the lines, on opposite sides of the transversal, have the same measure

Angles 1 and 7 are exterior angles, therefore:

m<7 = m<1

Substitute

m<7 = 65 degrees.

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The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

We have,

In set theory, a proper class is a class that is not a set.

A class is a collection of objects, and a set is a class that can be a member of other classes.

On the other hand, a proper class cannot be a member of another class.

The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

This means that V cannot be an element of any other class or set within the context of the set theory being considered.

The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.

Thus,

The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

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C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

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Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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Answer:

A.

Step-by-step explanation:

YJ, YB,YS, WJ, WB, WS, GJ, GB, GS, TD

Answer:

f(x)=14(5−x)2

f(11)=14(5-11)2

f(11)=14*-6*2

f(11)=-84*2

f(11)= -168

Step-by-step explanation:

Answer:

it would be -82

Step-by-step explanation:

The algebraic expression for the price Ramon paid per share of Xerox stock is $40,000/x.

To express the price Ramon paid per share of Xerox stock algebraically, we can use the formula:

Price per share = Total cost / Number of shares

In this case, we know that Ramon bought x shares of Xerox stock for a total of $40,000

So we can substitute these values into the formula:

Price per share = $40,000 / x

Hence, the algebraic expression for the price is $40,000/x.

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The algebraic expression for the price Ramon paid per share of the Xerox stock is $40,000/x.

we can use the formula to determine the price paid per share of Xerox stock algebraically:

Price per share = Total cost of shares / Number of shares

Ramon bought x shares of Xerox stock for a total of $40,000

That is, total cost of shares = $40,000

Number of shares = x

Substitute these values into the formula:

Price per share = $40,000 / x

Therefore, the algebraic expression for the price is $40,000/x.

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Answer:

108

Step-by-step explanation:

2x+12 and 3x-18 are vertical angles which mean they are congruent. We can write the equation 2x+12=2x-18 from this. When we solve for x, the answer is x=30. Now we can plug 30 into the equation 2x+12 to get 72. Notice that angle 2x+12 added to angle EFG is 180 degrees because they are supplementary. We subtract 72 from 180 to get the resulting answer of 108.

The measure of <EFG is 102.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

line m is parallel to line n.

As, 3x- 18 = 2x + 12 (Alternate Exterior Angle)

3x -2x = 12+ 18

x = 30

and, <EFG = 180 - (2x+ 12)  (Linear Pair)

<EFG = 180 - (60+12)

<EFG = 180 - 72

<EFG = 108

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Therefore, the population of seabirds 6 years ago was approximately 11,745.5.

Percent is a way of expressing a number as a fraction of 100. It is represented by the symbol "%". For example, if there are 25 students in a class and 20 of them passed the test, the percentage of students who passed the test is 80%. This is calculated by taking the number of students who passed (20) and dividing it by the total number of students (25), then multiplying by 100.

Here,

3. The amount of the radioactive element can be modeled by the equation:

\(A(t) = A(0) *e^{rt}\)

where A(t) is the amount of the element at time t, A(0) is the initial amount at time t=0, r is the continuous rate of decrease, and e is the mathematical constant approximately equal to 2.71828.

In this problem, we know that the initial amount A(0) is 4500 nanograms, the continuous rate of decrease r is 15% per hour, and we want to find the amount of the element at 6 p.m., which is 6 hours after noon.

First, we need to convert the continuous rate of decrease from hourly to continuous, using the formula:

r = ln(1 - p)

where p is the hourly rate of decrease, expressed as a decimal. In this case, p = 0.15, so:

r = ln(1 - 0.15)

≈ -0.1707

Substituting the given values into the equation for A(t), we get:

\(A(t) = 4500*e^{-0.1707t}\)

where t is the time in hours since noon. To find the amount of the element at 6 p.m. (t = 6), we plug in t = 6 and evaluate:

\(A(6) = 4500*e^{-0.1707*6}\)

≈ 2595.5

Therefore, there will be approximately 2595.5 nanograms of the element at 6 p.m.

4a. The population of seabirds can be modeled by the equation:

\(P(t) = P(0)*e^{rt}\)

where P(t) is the population at time t, P(0) is the initial population at time t=0, r is the continuous rate of growth, and e is the mathematical constant approximately equal to 2.71828.

In this problem, we know that the initial population P(0) is 16,000, the continuous rate of growth r is 4% per year, and we want to find the population 6 years from now.

We need to convert the continuous rate of growth from years to continuous, using the formula:

r = ln(1 + p)

where p is the annual rate of growth, expressed as a decimal. In this case, p = 0.04, so:

r = ln(1 + 0.04)

≈ 0.0392

Substituting the given values into the equation for P(t), we get:

\(P(t) = 16000*e^{0.0392t}\)

where t is the time in years since the initial time. To find the population 6 years from now (t = 6), we plug in t = 6 and evaluate:

\(P(6) = 16000*e^{0.0392*6}\)

≈ 20661.7

Therefore, the population of seabirds will be approximately 20,661.7 in 6 years.

4b. To find the population 6 years ago, we can use the same equation but with t = -6 (since we are going back in time):

\(P(6) = 16000*e^{0.0392*-6}\)

≈ 11745.5

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Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

Answer:

it block pic

Step-by-step explanation:

Step-by-step explanation:

30/4=7.4

30/5=6

6/3=2

Alex went to the moves 4 times that year.