Based on the graph below, what are the new dilation vertices of triangle JKLM with vertices J(-6,2), K(-4,4), L(0,0) M(-2,-2): K= 5/2

Answer:

56

Step-by-step explanation:

Apply PEMDAS:

\(72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}\)

Answer:

1 2 3 4 5

Step-by-step explanation:

Its possible for the code to just be 1 2 3 4 5

Answer:

3 1/2

Step-by-step explanation:

each dozen needs 1/2 cup of chocolate chips so 1/2 times 7 = 3 1/2

Answer:

7 4/6 - 5 5/6 = 1.83 or 1 5/6

Hope This Helps!

Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.

The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters

A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.

Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm

The number of squares = 10

The number of squares that make up the width from the drawing = 5

The side length of the square is therefore; 15 cm ÷ 5 = 3 cm

The number of squares that make up the length of the rectangle = 7

The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm

The length of the rectangle = 21 centimeters

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Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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Answer:

169 cm²

Step-by-step explanation:

The line integral of the vector field F = <17y, 16z, x> along the curve C given by r(t) = (2+t-1, t^3, t^2) for 0 ≤ t ≤ 1 is evaluated using the formula ∫C F · dr = ∫a^b F(r(t)) · r'(t) dt. The exact answer is 61/2.

We have F(x, y, z) = <17y, 16z, x>, and r(t) = (2+t-1, t^3, t^2), with 0 ≤ t ≤ 1. Thus, r'(t) = <1, 3t^2, 2t>, and F(r(t)) = <17t^3, 16t^2, 2+t-1>. Therefore, we have:

∫C F · dr = ∫0^1 <\(17t^3, 16t^2, 2+t-1\)> · <\(1, 3t^2, 2t\)> dt

= \(\int\limits^1_0 {(17t^3 + 48t^4 + (2+t-1)2t)} \, dt\)

= \(\int\limits^1_0 {(17t^3 + 48t^4 + 4t^2 - 2t) dt}\)

= \((17/4)t^4 + (12/5)t^5 + (4/3)t^3 - t^2 |_0^1\)

= 61/2

Therefore, the line integral of F along C is 61/2.

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Answer:

y=0.6x

(a)$43.20

(b)$1416.67

Step-by-step explanation:

Let:

The club donates 60% to the foundation.

Therefore, the amount of money the foundation will receive

n=60% of m

n=0.6m

(a) If the club raised $72

m=$72

n=0.6*72

The amount of money the foundation will receive, n=$43.20

(b)If the foundation received a cheque of $850

n=$850

Therefore:

850=0.6m

m=850/0.6

m=$1416.67

The club raised $1416.67 in total for the year

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Since DL is a perpendicular bisector of chord GA, the diameter is equal to 52 feet.

In Mathematics and Geometry, a perpendicular bisector is a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

Generally speaking, the product of the segment lengths for each chord is a constant. Therefore, we can determine this constant as a product of the segment lengths with respect to the bisected chord as follows:

24 × 24 = 576 ft²

For the missing segment length of the diameter's chord (DO), we have:

DO × 36 = 576 ft²

DO = 576/36

DO = 16 ft.

Therefore, the total length of the diameter is given by;

DL = DO + OL

DL = 16 + 36

DL = 52 ft.

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Answer: 2x = $90

Step-by-step explanation:

From the question, we are informed that Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms and that he gets paid $2 for every candy bar he sells, and he made a total of $90 on Saturday.

The equation showing the number of candy bars Brady sold on Saturday goes thus:

Let the number of candy bars sold on Saturday be x.

Since each candy bar is sold for $2 and he made a total of $90, this means that the $90 gotten is the product of each candy bar and the amount sold which we represented by x. Therefore the equation will be:

2 × x = $90

2x = $90

We can further solve to get x.

2x = 90

x = 90/2

x = 45

That means 45 candy bars were sold.

Answer:

hi, so i belive the correct option to your question is:

2x = 90

Step-by-step explanation:

it just makes the most sense to me because 2x which could mean two times which in the equation it says he makes to dollars per candy bar sold, so it makes more sence for it to be 2x rather than 90x. and then it says he made a total of ninty dollars on saturday which is a key factor in solving this equation so think it would be 2x = 90$.

im really not sure if this logic makes sence, im not super good with algebra but i hope this helps you out.

Answer:

A) rectangle, 10 x 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: $18

Step-by-step explanation:

$200 - 49 - 2(57.5) - 18 = $18

It should be noted that QC = Q'C" and ACQ is a right angle.

Reflection is an isometric mapping from a Euclidean space to itself that has a set of fixed points called the axis or plane of reflection.

Given that a reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at the intersection of AB and QQ'.

We know that reflection creates a image equidistant from the line of reflection. Thus, QC = Q'C".

Also in reflection , a line drawn from the point is perpendicular to the line of reflection.

Therefore, ACQ is a right angle

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Answer:

n = 2

Step-by-step explanation:

4-2 = 2n

\(\frac{2n}{4} =2\)

4 x 2 =  8

2 x 2 = 4

8 - 4 = 4

Answer:

Herman is wrong.  Latoya got the better deal.

Step-by-step explanation:

Latoya bought 8 pounds of potatoes for $18.

    ► 18 / 8 = $2.25 per pound

Herman bought 6 pounds of potatoes for $15.

    ► 15 / 6 = $2.50 per pound

Cheaper per pound is better!

Answer:

18/36×100%

The answer will be 50

Step-by-step explanation:

Hope it helps you

The area of the circle in the context of this problem is given as follows:

13.69π m².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle.

The measures for this problem are given as follows:

Hence the area of the circle is given as follows:

A = π x 3.7²

A = 13.69π m².

The circle is given by the image presented at the end of the answer.

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The value of Expected value, variance, and standard deviation of y of given probability distribution is 6.4, 9.76 and 3.12 respectively.

To compute the expected value of y, denoted E(y), we use the formula:

E(y) = Σ [y × f(y)]

Using the given probability distribution, we have:

E(y) = (2 × 0.20) + (4 × 0.30) + (7 × 0.40) + (8 × 0.10) = 1.6 + 1.2 + 2.8 + 0.8 = 6.4

Therefore, the expected value of y is 6.4, rounded to 1 decimal place.

To compute the variance of y, denoted Var(y), we use the formula:

Var(y) = E(y^2) - [E(y)]^2

where E(y) is the expected value of y, and E(y^2) is the expected value of y squared. To find E(y^2), we use the formula:

E(y^2) = Σ [y^2 × f(y)]

Using the given probability distribution:

E(y^2) = (2^2 × 0.20) + (4^2 × 0.30) + (7^2 × 0.40) + (8^2 × 0.10) = 1.6 + 3.6 + 19.6 + 6.4 = 31.2

Substituting this and the previously calculated E(y) into the formula for Var(y), we get:

Var(y) = E(y^2) - [E(y)]^2 = 31.2 - 6.4^2 = 31.2 - 40.96 = 9.76

Therefore, the variance of y is 9.76, rounded to 2 decimal places.

we take the square root of the variance to find the standard deviation:

σ = √Var(y) = √9.76 = 3.12

Therefore, the standard deviation of y is 3.12, rounded to 2 decimal places.

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____The given question is incomplete, the complete question is given below:

The following table provides a probability distribution for the random variable y 2 4 7 f(u) 0.20 0.30 0.40 0.10 8 a. Compute E(y) (to 1 decimal). 5.2 b. Compute Var(y) and ơ (to 2 decimals). Var(y)

Answer:

Step-by-step explanation:

Answer:

PEMDAS

Step-by-step explanation:

Just to pemdas and then you will get your answer! Parenthesis, exponents, Multiplication, Division, Addition, Subtraction

PEMDAS! :)

In total, Teresa, Charlie, and Bob served 89 orders at the school cafeteria on Monday.

To determine the number of orders each person served, let's assign variables to represent their orders. Let T be the number of orders Teresa served. Since Bob served twice as many orders as Teresa, we can assign 2T to Bob's orders. Additionally, Charlie served 5 more orders than Teresa, so we can assign T + 5 to Charlie's orders.

Now we can form an equation based on the given information: T + (T + 5) + 2T = 89. Simplifying this equation, we have 4T + 5 = 89. By subtracting 5 from both sides, we get 4T = 84. Finally, by dividing both sides by 4, we find that T = 21. Therefore, Teresa served 21 orders, Charlie served 26 orders (21 + 5), and Bob served 42 orders (2 * 21).

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Answer:

Option two which is E

Step-by-step explanation:

It is litterally self expanatory the letter E is inside of the marked vertex

The vertex of the angle is where the endpoints of C and A meet which

is at B) E.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. 

There are many types of angles and they are,

Acute Angle (measured from 0 to 90°), Right angle (measured at 90°), Obtuse Angle (Measured from 90 to 180°), Straight angle (measured at 180°), Reflex Angle (in Measurements, 180 to 360°), Complete Angle (measured in 360 degrees)

Given, Are five points A, B, C, D and E which joins to line segments.

The intersection of C and A's endpoints, at E, forms the angle's vertex.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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Answer:

The lines below are parallel. If the slope of the solid line is –3

Step-by-step explanation: