8 Select the correct answer from each drop-down menu. Graph shows two triangles plotted on a coordinate plane. One triangle is at A (minus 4, 2), B (minus 6, 2), and C (minus 2, 6). Another triangle is at A prime (2, 2), B prime (4, 2), and C prime (0, 6). ∆ABC goes through a sequence of transformations to form ∆A′B′C′. The sequence of transformations involved is a , followed by a . Reset Next

Answer:

it's 25

nwhhehshhjeheb

the answer is 25 just do 5 plus 5 plus 5 plus 5 plus 5

We can organise 21 different friend groups for you to bring to the show.

We can use the idea of combinations to resolve this issue.

You have a total of 7 pals, and you want to pick 2 of them to go to the concert.

This circumstance can be represented as a combination, which is denoted by the notation C(n, r), where n denotes the total number of items and r denotes the number of items you want to select.

Here, the number of friends is n = 7 and the number of friends to bring is r = 2.

Combinations are calculated using the following formula: C(n, r) = n! / (r!(n-r)!)

C(7, 2) in our case equals 7 / (2!(7-2)!)

The factorials are calculated as follows: 7! = 7 6 5 4 3 2 1 = 5,040 2! = 2 1 = 2 (7-2)!
Calculating the factorials:
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040
2! = 2 × 1 = 2
(7-2)! = 5! = 5 × 4 × 3 × 2 × 1 = 120
Now, we can substitute these values back into our formula:
C(7, 2) = 5,040 / (2 × 120)
C(7, 2) = 5,040 / 240
C(7, 2) = 21.

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Answer: -3x + 4

Step-by-step explanation:

To convert standard form:

3x + y = 4

to slope intercept form all we have to do is bring the x to the other side.

When we take the x to the other side we get

y = -3x + 4

Therefore when rewritten in slope-intercept form, the answer is:

y = -3x + 4

Answer:

\(y = 40\cdot k\)

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

\(y \propto x\)

\(y = k \cdot x\)

Where \(k\) is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

\(y = 40\cdot k\)

Answer:

The first answer is ''y=45 x''

1800 people for the second one

In an ideal circumstance, two people using 56k modems could exchange approximately 448,000 bits of digital information in one minute time. This is equal to 56,000 bytes of data per second (56kbps).

In an ideal circumstance, two people using 56k modems could exchange digital information at a rate of 56 kilobits per second (56kbps). To calculate the amount of data transferred in one minute, we need to multiply 56kbps by 60 seconds. This gives us a total of 3,360 kilobits, or 3.36 megabits. Since one byte is equal to 8 bits, we can divide 3.36 megabits by 8 to get the total number of bytes exchanged. This calculation results in 420,000 bytes, or 448,000 bits, of digital information exchanged in one minute of time.

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Answer:

Step-by-step explanation:

Depreciation means wearing and tearing in the value of an asset over the years

(a) Given:

p = initial value of an asset

i% = depreciation per year

n = number of years

Depreciation after n years (d) = \(p(1-\frac{1}{100} )^{n}\)

Value of machine after n years = p-d

(b) Given:

p = RM100000

i% = 5

n = 10
Depreciation after 10 years = \(100000(1-\frac{5}{100} )^{10} = 59873.69392\)

Value of machine after 10 years = p-d = RM100000 - RM59873.69392 = RM 40123.30608

Value of machine after 10 years to nearest ringgit = RM40123

The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence without having to go up from one term to the next. 'n' stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of 'n'.

Answer:

1, - 2

Step-by-step explanation:

Answer:

7x + 11y

Explanation:

1. Subtract 7x from 14x. 2y + 7x + 9y

2. Add 2y and 9y together. 11y + 7x

The numbers in Z84 that are relatively prime to 84 are: 1, 5, 25, 29, 43, 47, 61, 65, 79, and 83.

To find the numbers in Z84 that are relatively prime to 84, we need to find the numbers that do not have any common factors with 84 other than 1.

First, we can factorize 84 as 2^2 * 3 * 7.

Next, we can remove all the factors of 2, 3, and 7 from the set Z84, since any number in Z84 that has any of these factors would have a common factor with 84 other than 1.

So, we are left with the set of numbers {1, 5, 25, 29, 43, 47, 61, 65, 79, 83}.

Therefore, the numbers in Z84 that are relatively prime to 84 are 1, 5, 25, 29, 43, 47, 61, 65, 79, and 83.

As a comma-separated list, the answer would be: 1, 5, 25, 29, 43, 47, 61, 65, 79, 83.

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To make an informed decision using probability, collect relevant background information, data/observations, assumptions/constraints, sprobabilistic model, expert opinions, and external sources.

Probabilistic models: Depending on the complexity of the problem, I might develop or utilize probabilistic models. These models help to quantify uncertainties and estimate the likelihood of various outcomes. This could involve using statistical techniques, simulation methods, or probabilistic algorithms.

Expert sprobabilistic model: If available, I would seek expert opinions or consult with individuals who have domain-specific knowledge or expertise. Their insights can provide valuable perspectives and help refine the probabilistic assessment.

External sources: I would consider relevant external sources such as published studies, reports, or industry benchmarks. These sources can provide additional information or benchmarks against which the probabilities and outcomes can be evaluated.

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The answer is A because it's a non-recurring decimal.

Given:

Price change of four companies \(\dfrac{5}{8},-0.25,-\dfrac{1}{8}\text{ and }1.5\).

To find:

Smallest price change of the four companies.

Solution:

We have price change of four companies as \(\dfrac{5}{8},-0.25,-\dfrac{1}{8}\text{ and }1.5\).

Here negative sign represents the decrease in stock market price.

Price change can either positive or negative. So, we need to find the absolute value of each price change.

\(\left|\dfrac{5}{8}\right|=0.625\)

\(|-0.25|=0.25\)

\(\left|-\dfrac{1}{8}\right|=0.125\)

\(|1.5|=1.5\)

Arrange these values in increasing order.

\(0.125<0.25<0.625<1.5\)

Now,

Price changes in ascending order is

\(-\dfrac{1}{8},-0.25,\dfrac{5}{8},\text{ and }1.5\)

Hence, -1/8 the smallest price change of the four companies.

Answer:

\(y = \frac{-3}{4}\)

Step-by-step explanation:

\(\frac{y}{2} + \frac{1}{4} = \frac{y}{6}\)

Lets take all the variable terms in L.H.S & all the constant terms in R.H.S.

(While taking a term from one side to another side , it's sign changes )

⇒ \(\frac{y}{2} - \frac{y}{6} = -\frac{1}{4}\)

Now in L.H.S. , lets solve the fractions and reduce its numerator and denominator .

⇒  \(\frac{3y - y}{6} = -\frac{1}{4}\)

⇒  \(\frac{2y}{6} = -\frac{1}{4}\)

⇒  \(\frac{y}{3} = -\frac{1}{4}\)

Lets multiplying 3 on both the sides .

⇒  \(\frac{y}{3} \times 3 = -\frac{1}{4} \times 3\)

⇒  \(y = \frac{-3}{4}\)

Answer:

Price of a large soft drink = $3

Price of large bucket of popcorn = $4.5

Step-by-step explanation:

Let the cost of one large popcorn = $P

And the cost of one large soft drink = $S

If Daniela, Kieu and Cameron avail the deal of Three Go Free,

3P + 3S = 22.50

P + S = 7.5 -----(1)

Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.

This trip cost them = $37.50

Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50

(3 × 8) + (3 × S) + P = 37.5

24 + 3S + P = 37.5

3S + P = 13.5 -----(2)

By subtracting equation (1) from equation (2),

(3S + P) - (P + S) = 13.5 - 7.5

2S = 6

S = $3

From equation (1),

P + 3 = 7.5

P = $4.5

Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5

The equation of the given line is:

Slope intercept form is: y = -x + 6

Point slope form is: (y - 6) = -1(x - 0)

Standard form is: x + y = 6

The formula for the linear equation between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

The two coordinates are:

(0, 6) and (1, 5)

Thus:

(y - 6)/(x - 0) = (5 - 6)/(1 - 0)

This can be simplified as:

(y - 6) = -1(x - 0)

It can be further written as:

y - 6 = -x - 0

y = -x + 6

The formula for linear equation in standard form is:

Ax + By = C

Thus, we have: x + y = 6

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Answer:

To substitute x = 2 and y = 1 into the expression 4x^-3 y^-2, we simply replace x with 2 and y with 1:

4 * (2)^-3 * (1)^-2 = 4 * (1/8) * (1) = 4/8 = 0.5

So the expression 4x^-3 y^-2 evaluated at x = 2 and y = 1 is equal to 0.5.

Step-by-step explanation:

Answer:

There isn't any data, maybe you could put the rest of the question in the comment area.

Calculate the circumference and area of a circle.

To find the circumference, you double the radius and multiply by pi. To find the area, you square the radius and multiply by pi.

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as matched pairs.

Matched pairs refer to a specific type of data collection where two sets of data are linked together based on a common characteristic. This method is often used in research studies and experiments to compare the effects of different treatments or conditions on the same group of individuals. By matching data values in one sample with corresponding values in another sample, researchers can control for individual differences and isolate the impact of the treatment or condition being studied. This helps to minimize the influence of confounding variables and increases the validity of the results. Matched pairs design is particularly useful when working with small sample sizes or when it is difficult to obtain a large, random sample. By using matched pairs, researchers can enhance the precision and reliability of their findings.

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Answer:

10 teenagers

Step-by-step explanation:

using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650

no of teenagers = 10

The amount of concrete required to make 80 pots is 0.24192 cubic meters after adding 5% of the required concrete.

Given that:External dimensions of the prism, a = 18 cmHeight of the prism, h = 16 cm Thickness of the walls, t = 3 cmNumber of pots, n = 80Wastage is 5% of the required concreteLet the side of the inner square be 'a1'. Then,a = a1 + 2t⇒ a1 = a - 2t = 18 - 2×3 = 12 cmVolume of the pot = volume of the outer prism - volume of the inner prismVolume of the outer prismVolume of the outer prism = a²hVolume of the outer prism = 18²×16 = 5184 cm³Volume of the inner prismVolume of the inner prism = a1²hVolume of the inner prism = 12²×16 = 2304 cm³Volume of the potVolume of the pot = 5184 - 2304 = 2880 cm³In m³, Volume of the pot = 2880/1000000 m³Volume of 80 such potsVolume of 80 pots = 80 × 2880/1000000 m³= 0.2304 m³Concrete required for the potsConcrete required = volume of 80 pots × (100 + 5)/100Concrete required = 0.2304 × 105/100 m³Concrete required = 0.24192 m³

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The probability of obtaining a good split when randomly picking three elements and partitioning about their median is 3/8, given that the elements are not necessarily distinct.

When randomly selecting three elements from the array, there are a total of 3! = 6 possible permutations. Out of these permutations, there are three cases where the middle element is the true median, which would result in a good split.

These cases are: (1) the elements are in ascending order, (2) the elements are in descending order, and (3) the elements are in any other order where the middle element is the median.

The other three cases, where the middle element is not the true median, would result in a bad split. These cases occur when the true median is either the smallest or largest element among the three chosen.

Therefore, the probability of obtaining a good split is 3 out of the total 6 possible permutations, which simplifies to 3/6 or 1/2. However, since the problem states that the elements are not necessarily distinct, there are additional duplicate cases. In those cases, the probability of obtaining a good split becomes 3/8.

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Answer:

18 / 5

Step-by-step explanation:

3

= 3 / 1

= ( 3 / 1 ) x ( 5 / 5 )

= ( 3 x 5 ) / ( 1 x 5 )

= 15 / 5

3 + 3 / 5

= 15 / 5 + 3 / 5

= ( 15 + 3 ) / 3

= 18 / 5

Answer:

\( fractional \: form \: = 3 \frac{3}{5}

\\ decimal \: form \: = 3.6\)

3264 and 16,415

Step-by-step explanation:

136 x 24= 3264

245 x 67 = 16,415

The value of "b" is 5.

To find the value of "b" in the equation of the line y = mx + b, we need to substitute the coordinates of one of the points (A or B) and the given slope "m" into the equation and solve for "b".

Given: Point A(-6, 6), Point B(12, 3), slope m = -1/6

We can use point A(-6, 6):

y = mx + b

6 = (-1/6)(-6) + b

6 = 1 + b

b = 6 - 1

b = 5

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Answer:

B. 39 inches

Step-by-step explanation:

The amplitude is the difference between the function's maximum and minimum values.

3 in. + 36 in. = 39 in.

Answer: B. 39 inches

Answer:75 inches

Step-by-step explanation: I got it right on edmentum

Answer:

18:19

Step-by-step explanion:
To solve this problem, we need to first calculate the time it takes for the plane to fly from Singapore to Sydney:

Time = Distance ÷ Speed

Time = 6310 km ÷ 757.2 km/h

Time ≈ 8.34 hours

This is the time it takes to fly from Singapore to Sydney in Singapore time. However, we need to convert this time to Sydney time, which is 2 hours ahead of Singapore time. Therefore, the local time when the plane arrives in Sydney is:

Time in Sydney = Singapore time + 2 hours + Flight time

Time in Sydney = 07:45 + 2 hours + 8.34 hours

Time in Sydney = 18:19

Therefore, the local time when the plane arrives in Sydney is 18:19 using the 24-hour clock.

Step-by-step explanation:

Let's finish strong! Maybe we'll have some time for some fun activities!

Let's start with angle B.

Remember that the internal angle of a triangle will always equal 180.

We have a rignt angle (90), a known angle (54), and unknown B.

We can establish a simple equation to solve for B.   \(B = 180 - 90 - 54\)

33% done!

To solve for the other sides of the triangle, we'll need to use our trig functions! Boo! I know, but they are super handy! Let's see them in action.

Remember that ol' saying - some old hippy caught another hippy tripping on acid. SOH, CAH, TOA.

sin = opposite over hypotenuse, cos = adjacent over hypotenuse, tan = opposite over adjacent. \(tan(54) = a/23\)

A little fancy calculator work and we're 66% done! whew!

If we know a and the third side as being 23, we can just use the Pythagorean theorem

\(c^2 = a^2 + b^2\)

Done! Wow! That's feels good. Great job!

The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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