What is the image point of (-3,3) after the transformation R180° 0 T-3, -4?

Answer:

The required block diagram that shows how much distance Scarlett is away from the home is shown in the image attached.

Step-by-step explanation:

As given in the question Scarlett left her house at time zero and drove to the store, which is 3 blocks away, at a speed of 1 block per minute.

Then she stopped and went into the store for 4 minutes.

she drove in the identical at a rate of 5 blocks per minute until she got to the bank, which is 15 blocks away from the store.

Here,

1 Approach, Scarlett moves with the speed of a block per minute

Total distance travel = 3 block

Approach 2 Scarlett moves with the speed of 5 blocks per minute for 3 minutes

Total distance travel = 15 block

Approach 3 Scarlett moves with the speed of 3 blocks per minute for 1 minute

Total block traveled = 3 + 15 = 18

Now, Approach 3 is to retrace the path at the rate of 3 blocks per minute,

All these calculations is been shown in the block diagram.

Thus, the required block diagram that shows how much distance Scarlett is away from the home is shown in the image attached.

Hello, the answer is \(\frac{8x-1}{15}\). I will attach a photo of my work, along with an explanation of each step.

I hope this helps! If you feel this helped, feel free to give me Brainliest. Have a good day, and good luck on your assignment. :)

Answer:

the answer is (8x-1)/15, like the other person said. to solve this you need common denominators, by multiplying each side by the other denominator.

Answer:

27

Step-by-step explanation:

13=g/3 +4

9=g/3

27=g

answer:27

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

The three elements of the fire triangle are heat, fuel, and oxygen.

All three elements are present in various locations such as kitchens, factories, workshops, and even in nature such as forests and grasslands. For example, in a kitchen, the stove provides heat, cooking oil or gas is the fuel, and air provides oxygen.

In a factory, welding machines generate heat, combustible materials serve as fuel, and air provides oxygen. In a forest, the hot summer sun provides heat, dry leaves and branches serve as fuel, and air provides oxygen. Whenever all three elements are present, there is an increased risk of fire, and proper precautions should be taken to prevent fires from starting.

For example, if there is a dry and combustible material (fuel) that is exposed to a high temperature or a spark (heat), and there is an ample supply of oxygen in the air, then all three elements of the fire triangle are present and a fire can start. Another example might be a gas stove with an open flame (heat), a can of flammable cooking oil (fuel), and a well-ventilated kitchen (oxygen).

When these three elements are present together, there is an increased risk of fire.

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Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

The total revenue that will be maximized is 20 - 2a

From the question, we have the following parameters that can be used in our computation:

Qd = 20 - P

The revenue equation is calculated using

Revenue = Quantity * Price

So, we have

R = Qd * P

This gives

R = (20 - P) * P

Expand

R = 20P - P²

Differentiate

R' = 20 - 2P

Next, we have

Q = a

So, we have

R = 20 - 2a

Hence, the total revenue that will be maximized is 20 - 2a

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(-y −y) + (4x + 4x) + (-3 −3 + 2 + 2 + 2 + 2) + (-5x−5x)

-2y + 8x + 2 - 10x

-2y -2x +2

The frog will travel a total distance of 1650 cm before she cannot jump anymore. None of the options given are correct.

To find the total distance the frog will travel, we need to add up the distances of all her jumps. Given that her first jump is her longest at 300 cm and her second jump is 270 cm, we can assume that each subsequent jump is shorter than the one before it.

The difference between the first jump and the second jump is 30 cm. So let's assume that the common difference between each jump is 30 cm. So the frog takes a total of 10 jumps before she cannot jump anymore.

The total distance the frog will travel is:

300 + 270 + (240 + 210 + 180 + 150 + 120 + 90 + 60 + 30) = 1650 cm

So here none of the options are correct.

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The effect that it has on the graph is a shift right of 2 units, so the correct option is the second one counting from the top.

For any function f(x), we can define a horizontal shift of N units as:

y = f(x + N)

where:

In this case, we have.

y = f(x - 2)

so we have N = -2, then we have a shift of 2 units to the right. This means that the correct option will be the second one, counting from the top:

"The graph of y = f(x) will shift right 2 units."

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is this a question? confused

Answer:

Inductive

Step-by-step explanation:

Inductive reasoning is an observation that doesn't have any reliable proof.

Answer:

4

Step-by-step explanation:

\(3x+2+3x+3=5x+9 \\ \\ 6x+5=5x+9 \\ \\ x=4\)

Step-by-step explanation:

\(x = \frac{4}{3} \)

\(1. \: 6x + 6 = 5 + 9 \\ 2. \: 6x + 6 = 14 \\ 3. \: 6x = 14 - 6 \\ 4. \: 6x = 8 \\ 5. \: x = \frac{8}{6} \\ 6. \: x = \frac{4}{3} \)

There are actually three null hypotheses associated with a two-way ANOVA. The first null hypothesis is that there is no interaction between the two independent variables. The second null hypothesis is that there is no main effect for the first independent variable. Finally, the third null hypothesis is that there is no main effect for the second independent variable.

Each of these null hypotheses can be tested using different statistical tests, and the results of these tests will inform whether or not to reject or fail to reject the null hypothesis. Overall, a two-way ANOVA is a powerful statistical tool for analyzing the effects of two independent variables on a single dependent variable, and understanding the associated null hypotheses is key to interpreting the results of this analysis.

In a two-way ANOVA, there are three null hypotheses associated with it. The first null hypothesis tests if there is no significant main effect of the first factor. The second null hypothesis examines if there is no significant main effect of the second factor. Lastly, the third null hypothesis assesses if there is no significant interaction effect between the two factors. Each of these null hypotheses is tested independently to determine the effects of the factors and their interaction on the dependent variable.

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Answer:

(4,0) and (2,0)

Step-by-step explanation:

For an x-intercept, y=0, so now we have:

(x-4)(x-2)=0

Anything multiplied by 0 is 0, so (x-4)=0 and/or (x-2)=0

(x-4)=0

x=4

(x-2)=0

x=2

The x-intercept co-ordinates are: (4,0), (2,0)

Answer:

x-intercepts are (4,0) and (2,0)

Answer:

\(0.00007024\) cm

Step-by-step explanation:

Standard notation just mean to expand the number.

Because the exponent is -5, move the decimal 5 places to the left.

\(7.024*10^{-5}\)

\(0.00007024\)

Hope this helped!

There are 13 chairs in each row

The given parameters are:

Chairs = 64

Rows = 5

The number of chairs in each row is:

Each = Chairs/Rows

This gives

Each = 64/5

Evaluate

Each = 13

Hence, there are 13 chairs in each row

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The lowest temperature in January is -10°C if the lowest temperature in January is less than -6°C.

A scaled way of measuring how hot or how chilly something is a living body's normal level of heat production; see thermometer. a condition of extreme body heat with an average oral temperature of 98.6°F. The ideas of hotness and coolness are expressed numerically as a physical value called temperature.

The calibration of thermometers involves employing a variety of temperature scales with clearly defined reference points and thermometric materials. The Celsius scale (°C), formerly known as centigrade, with the unit symbol °C, is the most commonly used scale, followed by the Fahrenheit scale (°F) and the Kelvin scale (K), which is mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

Given,

Less than 6° was the lowest temperature recorded in January.

The lowest temperature in January will be=?

It is -10°C.

Therefore, the lowest temperature in January is -10°C.

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If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was is c. $1,000,000.

The margin of safety is the difference between the actual or expected sales and the break-even point. In this case, if the margin of safety is 25%, it means that the business is generating sales that are 25% higher than the break-even point.

To calculate the break-even point, we can use the following formula:

Break-even point = Fixed costs / Contribution margin ratio

The contribution margin ratio is the difference between the sales price and variable costs, divided by the sales price. We don't have enough information to calculate it directly, but we can use the margin of safety to estimate it.

If the margin of safety is 25%, it means that the contribution margin ratio is 25% of the sales price. So, the variable costs must be 75% of the sales price, and the contribution margin ratio is 25%/100% = 0.25.

We know that the sales are $4,000,000, but we don't know the fixed costs. However, we can use the break-even formula to solve for it:

$1,000,000 = Fixed costs / 0.25

Fixed costs = $250,000

Therefore, the break-even point is $250,000 / 0.25 = $1,000,000.

Based on the given information, the break-even point for the business with sales of $4,000,000 and a margin of safety of 25% is $1,000,000.

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Answer:

-18v + 12x +6

Step-by-step explanation:

-6(3v-2x-1)

-18v + 12x +6

Step-by-step explanation:

-6(3v-2x-1)

-16v+12x+6

Answer:22

Step-by-step explanation:22

Answer:

4p^2-8p-5

Step-by-step explanation:

Answer:

4p^2-8p-5

Step-by-step explanation:

Hope this helps :)

The equation that relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time is:\(y = (1/2)at^2 + v_{i}t\)

where y is the vertical displacement, a is the acceleration in the y-direction, t is time, and \(v_{i}\) is the initial velocity in the y-direction.

This equation is derived from the kinematic equations of motion, specifically the one that relates the displacement, velocity, acceleration, and time for motion in one dimension. The first term of the equation represents the displacement due to the acceleration, while the second term represents the displacement due to the initial velocity. The equation can be used to calculate the vertical displacement of an object with a known initial velocity and acceleration in the y-direction after a certain amount of time has passed.

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The magnitude of the net displacement vector is 134.47 km, and its direction is 73.35 degrees counterclockwise from the east axis.

1. Driving 20 km north: This can be represented as a vector (0, 20) since it is a purely vertical movement.

2. Driving 25 km west: This can be represented as a vector (-25, 0) since it is a purely horizontal movement.

3. Driving 45 km northeast: This can be represented as a vector (d, d) where d represents the distance traveled in a diagonal direction.

Using Pythagorean theorem since it forms a right triangle.

d = √((45²) + (45²)) ≈ 63.64 km.

Thus, the vector representation is (63.64, 63.64).

4. Driving 45 km north: This can be represented as a vector (0, 45) since it is a purely vertical movement.

Now, we can add these vectors together to find the net displacement vector:

Net Displacement = (0, 20) + (-25, 0) + (63.64, 63.64) + (0, 45)

Net Displacement = (0 - 25 + 63.64 + 0, 20 + 0 + 63.64 + 45)

Net Displacement = (38.64, 128.64)

The magnitude of the net displacement vector can be found using the Pythagorean theorem:

Magnitude = √38.64² + 128.64² ≈ 134.47 km

The direction of the net displacement vector can be found using trigonometry.

Angle = atan2(128.64, 38.64) ≈ 73.35 degrees

Therefore, the magnitude of the net displacement vector is 134.47 km, and its direction is 73.35 degrees counterclockwise from the east axis.

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Answer:

1/2

Step-by-step explanation:

Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

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Answer: 21p^2 + 3qp

Explanation:

To find the area of the triangle you have to do LxHx1/2

Length = 7p+q

Height = 6p

(7p+q)*6p*1/2 = 21p^2+3qp

I hope this helped!

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Answer:

The answer is 3p(7p+q)

Step-by-step explanation:

If we first take given values as an area of a rectangle, we get: 7p+q times 6p

If we construct the rectangle, we can see that the given triangle takes exactly half of the area of the rectangle, thus the area of a triangle is:

(7p+q times 6p)/2

6p(7p+q)/2=3p(7p+q)

I hope it helped :)

A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).

B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).

C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).

To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.

A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.

B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.

C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.

Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.

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Based on the given information that 2 out of 20 sample points plotted on a control chart are beyond the control limits, the correct answer is D) The evidence is sufficient to indicate that the process is out of control.

Control charts are used to monitor and control processes, with control limits representing the expected boundaries for a process in control.

When data points fall outside these control limits, it indicates that the process is exhibiting variation beyond the expected range.

In this case, the occurrence of 2 out of 20 sample points beyond the control limits suggests that the process is not operating within the expected range of variation.

This provides sufficient evidence to indicate that the process is out of control.

Option B, stating that the evidence is sufficient to indicate the process is in control, is incorrect based on the information provided. The evidence supports the conclusion that the process is out of control, not in control.

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The exact volume outside the sphere 6x² + 6y² = 22 and inside the sphere 2x² + 2y² + 2z² = 8 is (2/3)π(√11 - 2).

To find the volume outside the sphere 6x² + 6y² = 22 and inside the sphere 2x² + 2y² + 2z² = 8, we can use triple integration in spherical coordinates.

First, we need to find the limits of integration in spherical coordinates. The inner sphere has a radius of √(2), so the equation in spherical coordinates is 2ρ² = 8, or ρ = √(4) = 2. The outer sphere has a radius of √(22/3), so the equation in spherical coordinates is 6ρ² = 22, or ρ = √(11/3).

For the angles, we can integrate over the full range of phi (0 to pi) and theta (0 to 2pi).

Therefore, the triple integral in spherical coordinates to find the volume is:

∫∫∫ρ²sin(φ)dρdφdθ

with limits of integration: 0 ≤ ρ ≤ √(11/3), 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.

The integrand ρ²sin(φ) represents the volume element in spherical coordinates, where ρ is the distance from the origin to the point, φ is the angle between the positive z-axis and the line connecting the origin to the point, and θ is the angle between the positive x-axis and the projection of the line onto the xy-plane.

Evaluating the integral, we get:

∫∫∫ρ²sin(φ)dρdφdθ = \(\int\limits^2_0\)π \(\int\limits^{2\pi}_0\) \(\int\limits^{\sqrt{\frac{11}{3}}}_2\) ρ²sin(φ)dρdφdθ

= 2π \(\int\limits^{\pi}_0\) sin(φ) [ρ] ∣₂^√(11/3) dφ

= 2π [√(11)/3 - 2/3]

= (2/3)π(√11 - 2)

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Answer:

x = pm - pn

Step-by-step explanation:

m = n + \(\frac{x}{p}\)  Subtract n from both sides

m - n = n - n + \(\frac{x}{p}\)

m-n = \(\frac{x}{p}\)   Multiply both sides by p

p(m - n) = (\(\frac{p}{1}\)) \(\frac{x}{p}\)          \(\frac{p}{1}\) means the same as p

pm - pn = x             Distribute the p

x = pm - pn