Zack and Jack share a sum of money in the ratio 12:11 Zack got £14 more than Jack. How much did Zack receive?

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Yes, the square of a rational number is always positive.

We know that a negative times a negative equals a positive only.

Well, a negative squared also equals a positive.

For example, (-4)² is equal to 16.

Because

(-4)×(-4)=16

Hope you could understand everything.

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8 hours the driver worked and 240 miles the truck drove.

Assume that the truck traveled y miles per hour. and that the driver worked x hours per day.

The equations describing the provided issue will be

19x + 1.50 y = 512

y = 30x

y = 19 x + 1.50 y = 30 x + 1.50 y

When we enter the second equation into the first one, we get,

19 x + 1.50 (30 x) = 512

19x+ 45x = 512

64x = 512

x = 8

y = 240

The vehicle traveled 240 miles, and the driver put in eight hours' worth of work.

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The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The angle ∠DEG = 51° and angle ∠GEF = 39°.

Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have

We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.

The sum of the angle ∠DEG and ∠GEF will be

∠DEF = ∠DEG + ∠GEF

∠DEF = 51° + 39°

∠DEF = 90°

Then the triangle ΔDEF will be a right-angle triangle.

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The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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Answer:

Calculate the area of the right triangle that has vertices at A(626, 200), B(726, 200), and (025,10)

Answer:

a- 130, 130, and 50

b- 7 and 10

Answer:

a- 130, 130, and 50

b- 7 and 10

Step-by-step explanation:

Answers:

1) The Total Cost Of A One Year Membership is $279.

Explanation:

1 Month = $23

12 Months = 23 * 12 = 279

2) In 7 Months You Would Have Paid $161.

Explanation:

1 Month = $23

7 Months = 23 * 7 = 161

3) If You Didn't Want To Spend More Than $500 You Would Last 1 Year And 8 Months (20 Months) And Would Cost You $460.

Explanation:

1 Month = $23

7 Months = $161

12 Months =$279

20 Months = $460

Hope This Helps!!

Lu Signing Out!

Answer:

C

Step-by-step explanation:

Answer:

is there an image?

Step-by-step explanation:

I don't really understand that what you need to knoe

Answer:

You didn't put the options but the answer is B, 45 degrees

Step-by-step explanation:

Did the quiz and you just have to divide 90 by 2

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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The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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Answer:

9/0

Step-by-step explanation:

The mean is 65 inches and the standard deviation is 3 inches.

Given,

In a group of women, the distribution of heights is roughly normal. Women who are shorter than 62 inches in height make up 16% of the population.

The empirical rule, less than μ - σ of 16% of the data is accurate.

P (x < μ - σ) = 16%

μ - σ = 62 → (I)

Approximately 97.5% of the women are under 71 inches in height,

P (x < μ + 2σ) = 97.5%

μ + 2σ = 71 → (II)

By solving (I) & (II);

μ - σ = 62

μ + 2σ = 71

3σ = 9

σ = 3

From (I);

μ - σ = 62

μ - 3 = 62

μ = 65

Hence, Mean = 65 inches

            Standard deviation = 3 inches

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1) P''(23) is approximately equal to -0.06.

2) The value is negative, we can conclude that the rate of change of the percentage of mothers who work outside the home and have children younger than age 6 years was decreasing in the year 2003.

The function P(t) = 33.55\((t + 5)^{0.205}\) gives an approximation of the percentage of mothers who work outside the home and have children younger than 6 years old.

The variable t represents the time in years since the beginning of 1980, so t = 0 corresponds to the year 1980. The function is valid for 0 ≤ t ≤ 32, which means it covers the years from 1980 to 2012.

To find the second derivative of P with respect to t, we need to take the derivative of the derivative of P. First, we take the derivative of P(t):

P'(t) = 7.028\((t + 5)^{-0.795}\)

Then, we take the derivative of P'(t) to get P''(t):

P''(t) = -5.578\((t + 5)^{-1.795}\)

To compute P''(23), we simply substitute t = 23 into the expression for P''(t):

P''(23) = -5.578\((23 + 5)^{-1.795}\) = -0.06

So, P''(23) is approximately equal to -0.06.

Specifically, if P''(t) is negative, then the rate of change of P is decreasing. If P''(t) is positive, then the rate of change of P is increasing. If P''(t) is zero, then the rate of change of P is neither increasing nor decreasing, but may be changing direction.

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Answer:

81x because 9x9=81x so 81x is your answer

Answer:

∡ a = 80°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180 degrees

a + 30 + 70 = 180

a + 100 = 180

a = 80

Answer:

80 Degrees

Step-by-step explanation:

A triangle equals 180 degrees when all sides are added together, so here we need to first add the angles of the ones we have available.

30 + 70 = 100

Now, we subtract to find out how much more we need...

180 - 100 = 80

If ∠1 and ∠2 are vertical angles, that means they are opposite angles formed by two intersecting lines. Since they are opposite, their measures must be equal. If m∠1 = 108°, then m∠2 = 108°.

If ∠A and ∠B are complementary angles, that means their measures add up to 90°. If m∠B = 68°, then m∠A = 90° - 68° = 22°.

For the first question, if ∠1 and ∠2 are vertical angles, this means that they are opposite angles and are equal in measure. So, if m∠1 = 108°, then m∠2 = 108° as well.

For the second question, if ∠A and ∠B are complementary angles, this means that their measures add up to 90°. So, if m∠B = 68°, then m∠A = 90° - 68° = 22°.

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To prove that the map φ: G → G defined as φ(g) = g² is a homomorphism if and only if G is commutative, we need to show both directions of the statement.

First, let's assume that φ is a homomorphism. This means that for any two elements g₁ and g₂ in G, we have φ(g₁g₂) = φ(g₁)φ(g₂).

Expanding this equation using the definition of φ(g) = g², we have (g₁g₂)² = g₁²g₂².

Now, let's consider the case where G is commutative. In a commutative group, we have g₁g₂ = g₂g₁ for all g₁, g₂ ∈ G.

Using this property, we can rewrite the equation (g₁g₂)² = g₁²g₂² as g₁²g₂²  = g₁²g₂² .

This implies that φ(g₁)φ(g₂) = φ(g₂)φ(g₁), which means that the map φ is a homomorphism.

Now, let's prove the other direction.

Assume that φ is a homomorphism. We want to show that G is commutative.

Consider any two elements g₁ and g₂ in G. Since φ is a homomorphism, we have φ(g₁g₂) = φ(g₁)φ(g₂).

Expanding this equation, we get (g₁g₂)² = g₁²g₂².

Now, let's assume that G is not commutative. This means that there exist elements g₁ and g₂ such that g₁g₂ ≠ g₂g₁.

Since G is not commutative, we can conclude that (g₁g₂)² ≠ g₁²g₂², which contradicts the assumption that φ is a homomorphism.

Therefore, if φ is a homomorphism, G must be commutative.

By proving both directions, we have shown that the map φ: G → G defined as φ(g) = g² is a homomorphism if and only if G is commutative.

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The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.

1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.

2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.

3. The period of the cosine function is T = 30 minutes.

4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.

5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.

In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.

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it's pretty simple 678910 are greater and -4 -3 -2 -1 are too because they are closer to the whole than 5 is

Answer:

Open circle at 0 arrow to the left

Open circle at 5 arrow to the right

Step-by-step explanation:

numbers that are negative is asking for everything to the left of 0. not inclusive though because 0 is not negative.

Open circle at 0 arrow to the left

Numbers greater than 5 will be to the right of five. Not inclusive because it doesn't ask for numbers equal to 5 too.

Open circle at 5 arrow to the right

A useful graphical method of constructing the sample space for an experiment is a tree diagram that is option A.

A tree diagram is a useful graphical method of constructing the sample space for an experiment. It is a type of diagram used to represent the possible outcomes of an event. The diagram is structured in a way that each branch of the tree represents an event that can occur, and each level of the tree represents a stage in the experiment. By using a tree diagram, it is easier to visualize and understand all the possible outcomes of an experiment and the probabilities associated with each outcome. Therefore, option A is the correct answer.

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To correctly match the points to the options, we should first convert the fractions on the line to decimals.

The points -2/8 and -3,7 in decimals are:

When we compare the points on the line to the options, we have:

Answers:

a : -3/7

b : -2/8

c : -0.2

Answer:

Is C.

Step-by-step explanation:

Consider,

2x² = 4x - 7

2x² - 4x + 7 = 0

using Quadratic Formula

Therefore, Option C is correct.

Answer:

B.2

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

By thousandth with a "th" we are referring to decimal places. The 4 is in the tenths place, the 3 is in the hundredths place, and the 2 is in the thousandths place

Step-by-step explanation:

similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.

and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.

so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.

so, DC (50) corresponds to TS (70).

and that means that CB (60) corresponds to SR (11x - 4).

the scaling factor from BCD to RST is 70/50 = 7/5.

that means DC × 7/5 = TS.

and CB × 7/5 = SR :

60 × 7/5 = 11x - 4

12 × 7 = 11x - 4

84 = 11x - 4

88 = 11x

x = 8

Answer:

\(18cm\)

Step-by-step explanation:

A of triangle =

\( \frac{1}{2} bh\)

\( \frac{1}{2} \times 9 \times 8\)

\( = 36cm2\)

A of square=

\(s2\)

\(36 = s2\)

\( \sqrt{36cm2} = \sqrt{s2} \)

\(18cm = s\)

Answer:

y=  -2.5

Step-by-step explanation: