triangle ABC has the following coordinates A(3 , 9), B(-6, 9) and C(0,3. If it was dilated using a scale factor of 1/3 what are the coordinates for A'B'C'?

The algebraic expression that models the word phrase "ten less than twice the product of s and t" is 2st - 10.

The product of s and t is obtained by multiplying s and t, which gives us st. Then, twice the product of s and t is found by multiplying st by 2, resulting in 2st. Finally, to express "ten less than twice the product of s and t," we subtract 10 from 2st, giving us 2st - 10.

The algebraic expression that models the given word phrase is 2st - 10.

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Deon's Coffee Shop used 26 pounds of type A coffee.

Let's consider Deon's Coffee Shop, which used "a" pounds of type A coffee and "4a" pounds of type B coffee. The total cost of the blend is $578.50, so we can equate the total cost of the type A and type B coffee to that amount. This leads us to the following equation: 5.45a + 4.20(4a) = 578.50.

To solve the equation, we simplify it: 5.45a + 16.80a = 578.50. Combining like terms, we get 22.25a = 578.50.

To find the value of "a," we divide both sides of the equation by 22.25. Therefore, a = 26. Hence, Deon's Coffee Shop used 26 pounds of type A coffee.

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Answer:

1/9

Step-by-step explanation:

3+4+2=9

9*2=18

18/2=2/18

2/18=1/9

Answer:

E

Step-by-step explanation: 1+12=13

The condition under which |a⃗ − b⃗ | = a + b is when the vectors a⃗ and b⃗ are parallel and have the same direction.

When two vectors are parallel, it means they have the same or opposite direction. In this case, we consider the scenario where they have the same direction. When a⃗ and b⃗ are parallel and have the same direction, the difference between them, a⃗ − b⃗, results in a vector that has a magnitude equal to the difference between their magnitudes, |a| − |b|.

In order for |a⃗ − b⃗ | to be equal to a + b, the magnitudes of the vectors a⃗ and b⃗ should satisfy the condition |a| − |b| = a + b. This implies that the magnitude of vector a⃗ should be twice the magnitude of vector b⃗. By setting these magnitudes appropriately, we can achieve the equality between the magnitudes of the difference vector and the sum of the vectors.

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a) The confidence interval for estimating the population proportion with a 92.5% confidence level and n=700, p=0.20 is (0.165, 0.235).

b) The confidence interval for estimating the population proportion with a 99% confidence level and n=140, p=0.06 is (0.017, 0.103).

c) The confidence interval for estimating the population proportion with a significance level of α = 0.03 and n=335, p=0.80 is (0.744, 0.856).

a) To find the confidence interval for estimating the population proportion with a 92.5% confidence level and n=700, p=0.20, we can use the following formula:

CI = p ± zα/2 × sqrt[(p×(1-p))/n]

Where:

CI = Confidence Interval

p = sample proportion

zα/2 = critical value of the standard normal distribution corresponding to the given confidence level (92.5% in this case), which can be found using the standard normal table

n = sample size

Plugging in the given values, we get:

CI = 0.20 ± 1.96 × sqrt[(0.20×(1-0.20))/700]

CI = 0.20 ± 0.035

CI = (0.165, 0.235)

Therefore, the confidence interval for estimating the population proportion at a 92.5% confidence level is (0.165, 0.235).

b) To find the confidence interval for estimating the population proportion with a 99% confidence level and n=140, p=0.06, we can use the same formula as above with a different value of zα/2:

CI = p ± zα/2 × sqrt[(p×(1-p))/n]

Where:

CI = Confidence Interval

p = sample proportion

zα/2 = critical value of the standard normal distribution corresponding to the given confidence level (99% in this case), which can be found using the standard normal table

n = sample size

Plugging in the given values, we get:

CI = 0.06 ± 2.58 × sqrt[(0.06×(1-0.06))/140]

CI = 0.06 ± 0.043

CI = (0.017, 0.103)

Therefore, the confidence interval for estimating the population proportion at a 99% confidence level is (0.017, 0.103).

c) To find the confidence interval for estimating the population proportion with a significance level of α = 0.03 and n=335, p=0.80, we can use the following formula:

CI = p ± zα/2 × sqrt[(p×(1-p))/n]

Where:

CI = Confidence Interval

p = sample proportion

zα/2 = critical value of the standard normal distribution corresponding to the given significance level (α/2 = 0.015 in this case), which can be found using the standard normal table

n = sample size

Plugging in the given values, we get:

CI = 0.80 ± 2.17 × sqrt[(0.80×(1-0.80))/335]

CI = 0.80 ± 0.056

CI = (0.744, 0.856)

Therefore, the confidence interval for estimating the population proportion with a significance level of α = 0.03 is (0.744, 0.856).

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A therapeutic procedure is a procedure performed for definitive treatment rather than diagnostic purposes.

A procedure performed for definitive treatment rather than diagnostic purposes is a therapeutic procedure. These procedures are aimed at treating or curing a particular condition, disease, or illness. Therapeutic procedures are used to relieve pain, restore function, improve mobility, or even save a patient's life. Unlike diagnostic procedures that are performed to identify a problem, therapeutic procedures involve actually treating the problem. Examples of therapeutic procedures include surgeries, chemotherapy, radiation therapy, and immunotherapy. These procedures are often more invasive than diagnostic procedures and may require anesthesia or sedation. The goal of a therapeutic procedure is to improve the patient's health and well-being, and they are an essential part of modern medical care.

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The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:the  median lies  between $112 and $132 since median is middle no. but as for this question the median is 122

Step-by-step explanation:

Answer:

-√36

Step-by-step explanation:

The first (approx. 3.567) is obviously irrational, as it continues forever; the decimal values do not end.

The next (√18) is approx. 4.243 and is irrational.

The next (π/3) is irrational because it involves an irrational number, π.

The last (-√36) is -6 and is therefore rational.

Examining the 80 athletes in the question the following answers are achieved:

a.  the Venn diagram is drawn and attached.

b. The number of athletes

Volleyball only = 16

Tennis only = 21

Hockey only = 18

Tennis and hockey only = 8

only play exactly one game = 55

play two of the game only = 15

play at-least one of the game = 58

This is a pictorial representation of sets

The Venn diagram is drawn from the following information

7 athlete plays all the three games. it represents the 7 in the center of the circle

10 play volleyball and hockey

15 plays tennis and hockey

11 plays tennis and volleyball

36 plays hockey

40 play tennis

30 plays volley ball

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False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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The pattern for the sequence 8, 17, 26, 35, 44, … is 9n - 1

The pattern in the question is given as

8, 17, 26, 35, 44, …

In the above expressions and pattern, we can see that

The current term is added to 9 to get the next term

From the above, we have the following

This means that the pattern is an arithmetic sequence with the following features

a = 8

d = 9

An arithmetic sequence is represented as

f(n) = a + (n - 1)d

When the values of "a" and "d" are substituted in the above equation, we have the pattern to be

f(n) = 8 + (n - 1)9

So, we have

f(n) = 8 + 9n - 9

Evaluate

f(n) = 9n - 1

Hence, the pattern for the sequence is 9n - 1

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Answer:

\(2c+2b+17\)

Step-by-step explanation:

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

Given:

\(2c-3b+6+7b-2b+11\)

---------->>>>

Collect like terms.

\(2c+(-3b+7b-2b)+(6+11)\)

---------->>>>

Simplify

\(2c+2b+17\)

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

Hope this is helpful.

Answer:

2c-2b+17 if using algebra

Step-by-step explanation:

firstly group like terms 2c+(-3b)+7b-2b+6+11

2c-2b+17

Answer:

stealing

Step-by-step explanation:

Answer: C.  Paying with additional loans can lead to connections and opportunities

Step-by-step explanation

The options to the questions are:

A.  Taking on a job can cut into study time

B.  Paying with credit cards can end up costing more money

C.  Paying with additional loans can lead to connections and opportunities

D.  Taking on a job can make connections that lead to opportunities

Answer:

C.  Paying with additional loans can lead to connections and opportunities

Step-by-step explanation:

When faced with needing additional money during college, an individual may choose to take on a job so as to get extra money to finance his or her needs. However, such a venture often leads to a reduction in study time, as working on jobs will also need its own time of execution.

Also, paying for financial needs during college days with a credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using a credit card.

More so, taking a job during college days, will definitely bring connections with different people, and thereby leads to opportunities.

However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.

Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities

The correct answer is option B, which is 1/(x+4). To see why, first factor the denominator of the given expression:

x^2 - 16x + 64 = (x - 8)(x - 8) = (x - 8)^2

Now, we can rewrite the original expression as:

(x - 8)^2 / [(x - 8)(x + 4)]

Canceling the common factor (x - 8), we get:

(x - 8) / (x + 4)

This is equivalent to 1/(x+4) since (x - 8) / (x + 4) = (x + 4 - 12) / (x + 4) = 1 - 12 / (x + 4) = 1 - 3 / (x + 4/3). As x approaches infinity, 3/(x+4/3) approaches 0, so 1 - 3 / (x + 4/3) approaches 1. Thus, the expression is equivalent to 1/(x+4) for any value of x except x = -4.

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the equation of the curve in the form y = f(x) is:

y = 4x^(-4/3)

We can eliminate the parameter t by expressing it in terms of x and substituting into the equation for y.

From the equation x = e^(-3t), we have:

t = -(1/3)ln(x)

Substituting this expression for t into the equation y = 4e^(4t), we get:

y = 4e^(4(-(1/3)ln(x))) = 4(x^(-4/3))

what is parameter?

In mathematics, a parameter is a quantity that defines the characteristics of a mathematical object or system, and whose value can be changed. It is typically denoted by a letter, such as a, b, c, etc., and is often used in mathematical equations or models to express the relationships between different variables.

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Answer:

Step-by-step explanation:

The system would be 2w+2g=10.50 and 3w+g=6.75 because w is waffles and g is grand slam then you need to isolate w and graph or you could use desmos if you teacher permits to graph

Answer:

The answer is $13.95

Step-by-step explanation:

You take the price with tax and subtract the tax (by 0.??), and that'll give you your answer. In this case, you the starting price of $14.55 and subtact 0.6 (6%), which gives you $13.95.

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

A unit circle has a radius of 1, so r = 1. The point P(9/10, y) in the IV quadrant will have a positive x-value and a negative y-value.

Using the Pythagorean theorem we know that, x² + y² = r², in a Cartesian coordinate system. We can solve for y by rearranging the formula, r² - x2 = y², or y = ±√(r² - x²).

y = ±√(r² - x²)

y = ±√([1]² - [9/10]²)

Simplify the expression we have

y = ±√(1 - 81/100)

y = ±√(1-0.81)

y = ±√0.19, we choose the negative for quadrant IV.

y = -√0.19

y = -0.4359

Sin -0.4359 = 26 degrees in the IV quadrant, = 360-26 =334 degrees

CosA = 0.4359 in the Iv quadrant is positive we chose the positive figure 64 degrees

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Answer:

y = 4

Step-by-step explanation:

substitute x = 3 into the equation

y = 6(3) - (9 + 5) = 18 - 14 = 4

Answer: y=4

Step-by-step explanation:

y=6(3)-(9+5)

y=18-14

y=4

11 miles he run per day, Monday-Friday.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total distance travelled = 60 miles.

On Saturday= 5 miles

Sunday was off

So, from Monday to Friday he travelled

=60 - 5

= 55 miles.

and, per day he run

= 55/5

= 11 miles

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Given trigonometric equation is equal to 2 so the it has been proved.

what is trigonometric identity?

A trigonometric identity is a mathematical equation that expresses a relationship between trigonometric functions of an angle. These identities are true for all values of the angle, and they allow us to simplify expressions involving trigonometric functions, manipulate them algebraically, or evaluate them more easily.

Trigonometric identities include basic relationships such as \(sin^2(x) + cos^2(x) = 1,\) as well as more complex identities involving multiple functions such as the Pythagorean identity.

According to the question:
Let us begin by applying the trigonometric identity\(cos^2(x) + sin^2(x) = 1,\)which is true for any angle x. Solving for\(cos^2(x)\), we get \(cos^2(x) = 1 - sin^2(x).\)

Using this identity, we can rewrite the given equation as

\(1 - sin^2((1/8)^2) + 1 - sin^2(3n/8) + 1 - sin^2(5n/8) + 1 - sin^2(7n/8) = 2\)

Simplifying, we get:

\(4 - (sin^2((1/8)^2) + sin^2(3n/8) + sin^2(5n/8) + sin^2(7n/8)) = 2\)

Rearranging, we get:

\(sin^2((1/8)^2) + sin^2(3n/8) + sin^2(5n/8) + sin^2(7n/8) = 2\)
Now, let us apply the trigonometric identity \(sin^2(x) + cos^2(x) = 1\), which is true for any angle x. Solving for \(sin^2(x),\) we get \(sin^2(x) = 1 - cos^2(x)\).
2=2
Therefore, the equation is true

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the pool can contain approximately 8,218 gallons of water.

A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. We are required to find out how many gallons of water can the pool contain.

Converting diameter to radius: The diameter of the cylinder is given as 20 feet. Hence the radius of the cylinder can be obtained by dividing the diameter by 2.

r= 20/2 = 10 feet

Volume of cylinder:Volume of cylinder is given by πr2h where π is a mathematical constant whose value is approximately 3.14r is the radius of the cylinderh is the height of the cylinder.

Putting values into the formula, we get:

π(10)²(3.5)≈ 1,095.75 ft³

Converting ft³ to gallons: 1 ft³ = 7.5 gallons

Therefore, 1,095.75 ft³ ≈ 8,218.13 gallons

the pool can contain approximately 8,218 gallons of water.Hence, the pool can contain approximately 8,218 gallons of water.

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In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)

A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.

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Answer:

19 + 21 = 40.

Step-by-step explanation:

Answer:

m<1 = 70

Step-by-step explanation:

I'll have m<1 = x:

Exterior angles thm:

x + 31 = 101

x = 101 - 31

x = 70

Answer:

20 ÷ 10 = 2

So x = 20

Step-by-step explanation:

Hope this helps!

Answer:

x = 20

Step-by-step explanation:

1. Multiply 10 on both sides

2. The 10 on he left said will cancel out

3. x = 20