The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .
A.
m = 21, A'B' = 3.5
B.
m = 6, A'B' =
C.
m = 6, A'B' = 3.5
D.
m = 21, A'B' =

Answer:

x

Step-by-step explanation:

x is smaller than or equal to -5

x is an element of real numbers

Answer:

-8+7x

Step-by-step explanation:

-1-6-1=-8

-3x+10x=7x

Answer:

\(x>-28\)

Step-by-step explanation:

Given the following question:

\(-x\div4<7\)

In order to find the answer, we have to isolate the variable by multiplying four on both sides.

\(\frac{-x}{4} <7\)
\(\frac{-x}{4} =x\times4\)
\(7\times4=28\)
\(-x>28\)
\(-x\times-1=x\)
\(28\times-1=-28\)
\(x>-28\)

Hope this helps.

Answer:

x>-28

Step-by-step explanation:

First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28

This leaves you with

-x<28

To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality

Negative/Negative =positive

Positive/Negative =Negative

So, You get
x>-28

Answer:

1) Property of rhombus

2) Property of rectangle

The rate of change remains the same over the mentioned intervals, function f cannot be quadratic or exponential.

Hence, it can be concluded that function f is a linear function.

Based on the given information that the rate of change of function f is the same from x = -9 to x = -4 as it is from x = 1 to x = 6, we can conclude that function f is a linear function.

A linear function is characterized by a constant rate of change, meaning that the change in the function's value is consistent over any given interval.

In this case, the rate of change remains the same from x = -9 to x = -4 and from x = 1 to x = 6.

On the other hand, a quadratic function is characterized by a changing rate of change, meaning that the function's value changes at an increasing or decreasing rate over different intervals.

An exponential function, on the other hand, exhibits a rapid growth or decay with an increasing rate of change.

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Answer: he gives them 2 balls each and there are 2 balls remaining

Step-by-step explanation: 10 balls divided by 4 teams would be 2.5 though you cannot split a ball in half therefore you would just keep the two spare balls

The common difference is d = a24 - a12 = 88 - 46 = 42.

The first term is a1 = 46.

The rule for the nth term is a_n = a1 + (n - 1)d = 46 + (n - 1)42.

To find a7, we can substitute n = 7 into the rule:

a7 = 46 + (7 - 1)42 = 46 + 354 = 390.

Therefore, the seventh term of the arithmetic sequence is 390.

Here is a table of the first few terms of the sequence:

n | a_n

-- | --

1 | 46

2 | 88

3 | 130

4 | 172

5 | 214

6 | 256

7 | 298

The seventh term (a7) is -164.

To find the rule for the nth term of the sequence, we use the formula:

an = a1 + [(n - 1) * d]

where, a(n) represents the nth term,

           a(1) represents the 1st term,

           d represents common difference consecutive terms.

In this case, we are given two terms i.e. a12 = 46 and a24 = 88. We can use these two terms to find the common difference.

d = a24 - a12

d = 88 - 46

d = 42

Now, we have got the common difference, we can find the 7th term.

a7 = a1 + [(7 - 1) * 42]

Since, a1 is not defined in the question, we have to find it by substituting value of a12 and d.

a12 = a1 + [(12 - 1) * 42]

46 = a1 + 11(42)

a1 = -416

Now, we can substitute the value of a1 and d to find the value of a7.

a7 = a1 + [(7 - 1) * 42]

a7 = -416 + [(7 - 1) * 42]

a7 = -416 + [6 * 42]

a7 = -164

Therefore, the value of seventh term (a7) is -164.

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It takes 6 weeks to brew a particular lager and the brewery anticipates serving 200 pints of this lager a day. To find: How big of a vessel will the brewery require? Solution: The brewery anticipates serving 200 pints of lager per day. It takes 6 weeks to brew a particular lager.

There are 7 days in a week. So, the total number of days required to brew the lager= 6 x 7= 42 days. It is given that the brewery anticipates serving 200 pints of lager per day. So, the total number of pints that the brewery will require to serve 200 pints per day for 42 days= 200 x 42= 8400 pints.1 gallon= 8 pints Therefore, 8400 pints= 8400/8 gallons= 1050 gallons. Hence, the brewery requires a vessel of 1050 gallons. Answer: 1050.

It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

The area of the sector of the circle is approximately

Step-by-step explanation:

The given parameters of the circle having a shaded sector are;

The radius of the circle, r = 4 meters

The measure of the arc bounding the sector = 135°

The area of a sector of a circle, 'A', is given as follows;

\(A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2\)

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

\(A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2\)

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².

Answer: 119

Step-by-step explanation:

we will replace x and y with the given values x=3, y=-2

-3(3^3)(-2)-4(3)(-2)^2+5= -3(27)(-2)-4(12)+5=

=119

Answer:

B

Step-by-step explanation:

The joint probability mass function (PMF) for the random variables x and y can be represented in a table with rows and columns corresponding to the possible values of x and y, respectively.

In this case, x represents the number of heads on the first toss, and y represents the total number of heads over all three tosses. There are two possible outcomes for each coin toss: heads (H) or tails (T). Thus, there are 2^3 = 8 possible outcomes for three coin tosses, which can be listed as follows: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. For the first toss, there are two possible outcomes: H or T. Thus, x can take on the values x = 0 or x = 1, with probabilities P(x = 0) = 1/2 and P(x = 1) = 1/2.

For the total number of heads over all three tosses, there are four possible outcomes: 0, 1, 2, or 3 heads. The joint probabilities can be calculated by considering the possible outcomes for each value of x. For example, if x = 0 (i.e., the first toss is a tail), then y can only be 0 or 1, depending on the outcomes of the second and third tosses. The probabilities of these outcomes are P(x = 0, y = 0) = 1/8 and P(x = 0, y = 1) = 3/8. The joint probability mass function for x and y can be summarized in a table as follows:

y=0 y=1 y=2 y=3

x=0 1/8 3/8 3/8 1/8

x=1 1/8 3/8 3/8 1/8

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Answer and Step-by-step explanation:

We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.

If f(x) = 17, then

3x + 2 = 17, to find the value of x, we have solve for x in the equation.

3x = 17 – 2

3x = 15

x = 5

This is the method that can be used to solve problems of this nature.

Answer:

15. 7.71

16. 102.83

17. 1.4

18. 19

19. a. week one: 23

week two: 47

b. About two times greater

Step-by-step explanation:

15 & 16 ; to find the perimeter of a semicircle it is r(π + 2)

17 & 18; to find radius from circumference it is \(r=\frac{C}{2\pi }\)

19 a: to find diameter from circumference it is C ÷ π

At the end of the entire period, you would  have approximately $32,074.49.To calculate the amount Muhammad will pay back at the end of year 8, we need to determine the total amount including the principal (loan amount) and the interest.

Formula for calculating simple interest:

Interest = Principal * Rate * Time

Given:

Principal (P) = $2,130

Rate (R) = 8% = 0.08

Time (T) = 8 years

Interest = P * R * T = $2,130 * 0.08 * 8 = $1,356

To find the total amount to be paid back, we add the principal and the interest:

Total amount = Principal + Interest = $2,130 + $1,356 = $3,486

Therefore, Muhammad will pay back $3,486 at the end of year 8.

To calculate the amount of interest on an investment, we can use the same formula for simple interest:

Interest = Principal * Rate * Time

Given:

Principal (P) = AED 103,971

Rate (R) = 8% = 0.08

Time (T) = 5 years

Interest = P * R * T = AED 103,971 * 0.08 * 5 = AED 41,588.8

The amount of interest on the investment is AED 41,588.8.

To calculate the compound interest rate (rate of return), we can use the compound interest formula:

Amount = Principal * (1 + Rate)^Time

Given:

Principal (P) = $7,335

Time (T) = 6 years

Amount (A) = $10,885

We need to find the rate (R).

Amount = P * (1 + R)^T

$10,885 = $7,335 * (1 + R)^6

Dividing both sides by $7,335:

(1 + R)^6 = $10,885 / $7,335

(1 + R)^6 = 1.486014

Taking the sixth root of both sides:

1 + R = (1.486014)^(1/6)

1 + R = 1.0815

Subtracting 1 from both sides:

R = 1.0815 - 1

R = 0.0815

The compound interest rate earned on this investment is approximately 8.15%.

To calculate the final amount of money at the end of the entire period, we need to calculate the simple interest for the first 9 years and then compound interest for the next 3 years.

For the first 9 years:

Principal (P) = $12,025

Rate (R) = 10% = 0.10

Time (T) = 9 years

Interest = P * R * T = $12,025 * 0.10 * 9 = $10,822.50

The amount after 9 years = Principal + Interest = $12,025 + $10,822.50 = $22,847.50

Now, we take this amount and invest it for another 3 years at a compound interest rate of 12%:

Principal (P) = $22,847.50

Rate (R) = 12% = 0.12

Time (T) = 3 years

Amount = P * (1 + R)^T = $22,847.50 * (1 + 0.12)^3 = $22,847.50 * 1.404928 = $32,074.49

Therefore, at the end of the entire period, you would

have approximately $32,074.49.

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The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

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To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

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___________

\( \: \)

\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)

2² × 2³ × 2⁸ × 2⁹ + 10 + 20² + 10 + 10 + 10

= 2²² + (10 × 4) + 400

= 4.194.304 + 40 + 400

= 4.194.304 + 440

= 4.194.744✔

Answer:

(2²×2³×2⁸×2⁹)+10+20²+10+10+10=

=2²+³+⁸+⁹ + 10 + (20 x 20) +(10+10+10)

=2²² + 10 + 400 + 30

=4.194.304 + (410 + 30)

=4.194.304 + 440

=4.194.744

Part A

we have the equation

(x-13)^2+(y-4)^2=16

Rewrite as

(x-13)^2+(y-4)^2=4^2

so

The center of the circle is the point (13,4)

The radius of the circle is 4 units

using a graphing tool

Part B

Remember that

If an ordered pair lies on the circle, then the ordered pair must satisfy the equation of the circle

so

Verify each ordered pair

Hunter (11,4)

For x=11 and y=4

substitute in the equation of the circle

Is not true

so

Hunter is not in the spotlight

Joe (8,5)

x=8 and y=5

Is not true

so

Joe is not in the spotlight

Mason (15,5)

x=15 and y=5

Is not true

Mason is not in the spotlight

Answer:

Adult Ticket: £7

Child Ticket: £2

Step-by-step explanation:

Let the cost of 1 child ticket be c, adult ticket be a.

\(2a + 3c = 20 \\ \\ a + 4c = 15 \\ a = 15 - 4c \\ \\ 2(15 - 4c) + 3c = 2 0 \\ 5c = 10 \\ c = 2 \\ \\ a = 15 - 4(2) \\ a = 7\)

Answer:

The sign is negative

Step-by-step explanation:

Given

\(Expression = 3xy\)

\(x > 0\)

\(y<0\)

Required

Determine the sign

The expression can be split into 3 factors

\((3) (x) (y)\)

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

\((+3) (+x) (-y)\)

Leave only signs

\((+) (+) (-)\)

\(+ * + = -\)

So, we have:

\((+*+) (-)\)

\((+) (-)\)

\(+ * - = -\)

So, we have:

\((+) (-) = -\)

Hence, the sign of the expression is negative

Take for instance;

\(x = 2\)

\(y = -4\)

The expression would be:

\(3 *2 * - 4 =-24\) -- negative

according to question So, y in terms of x is:

y = -3 / (124)(5x - 5x - 3)

Assuming the equation is 5x – 5x – 3 = (124)(5y), the left-hand side simplifies to:

0 - 3 = -3

Therefore, we have:

-3 = (124)(5y)

Solving for y, we get:

y = -3 / (124)(5)

y = -3 / 620

what is equation?

An equation is a mathematical statement that shows that two expressions are equal. It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and logarithms. Equations can be linear or nonlinear, and they can have one or multiple variables. The solutions to an equation are the values of the variables that make the equation true.

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

What is aircraft?

A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.

As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.

Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

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Answer:

Answer attached

Step-by-step explanation:

(x,y) ---> (-x,y) ----> (-x+2,y)

The required expression is  (x + 25/2)² = 1745/4.

The given expression is,

5x² + 100x = 1400

Divide the complete equation by 5

x² + 625x =  280

Add 625/4 both sides,

x² + 25x + 625/4 =  280 + 625/4

x² + 2(25/2)x + (25/2)² =  1745/4

⇒ (x + 25/2)² = 1745/4

Which is of the form (x + a)² = b.

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Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

The most appropriate measure of central tendency to summarize the distribution of the variable "health" depends on the data's distribution and the presence of outliers. The mean is suitable for normally distributed data without outliers, while the median is preferable for skewed distributions or data with extreme values.

When summarizing the distribution of the variable "health," it is important to consider the nature of the data and the goals of the analysis.

If the data is normally distributed and there are no extreme outliers, the mean is often the most appropriate measure of central tendency. The mean takes into account all values in the data set and provides a balanced representation of the distribution. It is calculated by summing all the values and dividing by the total number of observations. The mean is particularly useful when the data is symmetrically distributed around a central value.

However, if the distribution of the variable "health" is skewed or contains extreme outliers, the median may be a more appropriate measure. The median represents the middle value in the ordered data set. Unlike the mean, the median is not influenced by extreme values and is less affected by skewed distributions. It provides a robust estimate of the central tendency and is useful when the data contains values that significantly deviate from the majority of observations.

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Answer:

numbers are 3x,2x,5x

so 3x+2x+5x=10x=840

so x=84

so numbers are 252,168,420

Answer:

Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts, such as taxes, in a particular country or socio-economic context.

Step-by-step explanation:

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