Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply
If they are each translated 9 unite down

The value of p that we get by solving the inequality given in the question is \(p\geq \frac{-20}{3}\)

The given inequality is

\(\frac{3}{4}p+8\geq 3\)

⇒\(\frac{3}{4}p\geq 3-8\)                              (subtracting 8 on both sides)

⇒\(3p\geq -5*4\)                             (multiplying both sides by 4)

⇒\(p\geq \frac{-20}{3}\)                                  (dividing both sides by 3)

⇒\(p\geq -6.667\)

Therefore the value of p must be greater than or equal to -20/3 or -6.667

That is, \(p\geq -6.667\)

another problem on solving an inequality

brainly.com/question/21857626

#SPJ4

Answer:

3.14

Step-by-step explanation:

03.14 is your answer

If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.

In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.

To learn more about linear map, refer:-

https://brainly.com/question/29129296

#SPJ11

Answer:

Step-by-step explanation:

Area = W x L

Area = 42

all give 42 as a result

Answer:

x = m - a/b + k

Step-by-step explanation:

m = x + (a / b) - k ​

switch sides

x + a/b - k = m

subtract a/b - k from both sides

a + a/b - k - (a/b - k) = m - (a/b - k)

therefore,

x = m - a/b + k

The number of minutes that it will take to remove all at the same time is: 60 minutes

Given that:

- The scones bake for 15 minutes, the muffins bake  for 12 minutes, and the cookies bake for 10 minutes.

Here we need to find out how many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time.

Based on the above information, the calculation is as follows:

Here we have to determine the L.C.M of each number:

12 = 2 * 2 * 3

15 = 3 * 5

20 = 2 * 2 * 5

Final LCM = 2 * 2 * 3 * 5 = 60

Therefore we can conclude that He will remove all trays at every 60 minutes interval.

Read more about Algebra Word Problems at: https://brainly.com/question/21405634

#SPJ1

Answer:

a^2+b^2=c^2

so 204x204+32400= 74,016 mm

Answer:

a^2+b^2=c^2

Step-by-step explanation:

so it is  204x204+32400= 74,016 mm plz mark me the Brainliest

The volume of the water in the fish tank is 135.27 cubic meters if the top 1/3 of the tank is just air.

To find the volume of the fish tank containing water, we need to find the volume of the fish tank and then subtract the volume that is occupied by the air i.e 1/3 of the volume of the tank.

So, the volume of the fish tank is :

=length x width x depth of the tank

=10.2 meters x 5.8 meters x 3.5 meters

= 203.94 cubic meters

Now we need to find the volume of the air that is occupied by the fish tank which is :

=1/3x the volume of the fish tank

=1/3x203.94 cubic meters

=68.67 cubic meters

The volume of the fish tank containing just water is:

=volume of the fish tank - the volume of the air occupied

= 203.94 cubic meters - 68.67 cubic meters

=135.27 cubic meters

Learn more about Volume at:

https://brainly.com/question/1972490

It takes 9 hours for the car to travel 612 miles at an average speed of 68 miles per hour.

To find the time it takes for the car to travel 612 miles at an average speed of 68 miles per hour, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 612 miles ÷ 68 miles per hour

Therefore, the time it would take the car to travel 612 miles is: Time = 612 miles / 68 miles per hour Time = 9 hours.  So, it would take the car approximately 9 hours to travel a distance of 612 miles if it maintains an average speed of 68 miles per hour.

Know more about time here:

https://brainly.com/question/28050940

#SPJ11

The given ODE is x˙=−3x+4 with x(0)=5. The ODE is of the first order and linear, so it can be solved using the integrating factor method.

The integrating factor method is given as;\($$\frac{dx}{dt}$+$p(t)x=q(t)$$\)

Multiplying both sides by the integrating factor, we have;

\($$\begin{aligned}\mu x'+\mu p x &= \mu q\\ (\mu x) &= \int \mu q \ dt\end{aligned}$$Where p(t)=-3, q(t)=4 and x(0)=5\).

Therefore the integrating factor is;

\($$\mu = e^{\int p(t) \ dt}$$So;$$\begin{aligned}\mu &= e^{\int -3 \ dt}\\ &= e^{-3t}\end{aligned}$$\)

Multiplying both sides of the ODE by the integrating factor, we have;

\($$\begin{aligned}e^{-3t} x'+e^{-3t} (-3)x &= e^{-3t} (4)\\ \frac{d}{dt} (e^{-3t} x) &= 4 e^{-3t}\end{aligned}$$\)

Integrating both sides, we have;

\($$\begin{aligned}e^{-3t} x &= \int 4 e^{-3t} \ dt\\ &= \frac{4}{-3} e^{-3t} + C\end{aligned}$$\) where C is the constant of integration. Solving for C, we have;\($$5=e^{0} x = \frac{4}{-3} e^{0} + C$$\)

Hence, C= 5 + 4/3

= 19/3.

Therefore, the general solution is;\($$x(t) = \frac{4}{-3}$ + \frac{19}{3} $e^{3t}$$\)

This solution was obtained using the integrating factor method, which involves determining the integrating factor, multiplying both sides of the ODE by the integrating factor, finding the antiderivative of both sides of the resulting equation, and solving for the constant of integration using the initial condition.

To know more about antiderivative visit:

brainly.com/question/31396969

#SPJ11

It will cost Matte $14.47 to make the collar for her dog. To calculate the cost of making the collar, we need to consider the cost of the chain, the clasp, and the name tag.

The chain needed for the collar is 40 cm long. Since one meter of chain costs $9.75, we need to convert the length of the chain into meters. There are 100 cm in one meter, so the cost of the chain can be calculated as follows: (40 cm / 100 cm) * $9.75 = $3.90.

The cost of the clasp is given as $1.29.

The cost of the name tag is $3.43.

To find the total cost, we add up the costs of the chain, clasp, and name tag: $3.90 + $1.29 + $3.43 = $8.62.

Therefore, it will cost Matte $8.62 to make the collar for her dog.

To learn more about length, refer:-

https://brainly.com/question/32060888

#SPJ11

Given that each roll is independent and that the odds of rolling a 2 are 1/6, the probability of receiving three 2s in a row is 1/216.

a. We can apply the multiplication principle to determine how many outcomes there are overall in the sample space.

There are 666 = 216 possible outcomes in the sample space because there are six outcomes for each die roll and we are rolling the die three times.

b. As each die roll is independent of the others, there is a 1/6 chance that any particular roll will result in a 2.

Therefore, the probability of getting three 2's in a row is (1/6)(1/6)(1/6) = 1/216.

So the probability of all three rolls being 2 is 1/216.

To learn more about probability, visit the link below:

https://brainly.com/question/30034780

#SPJ4

The titanium has a mass value of 563.75 grams

From the question, the given parameters are

Density of titanium = 4.51 g/cm^3

Volume of benzene = 125.0 cm^3

The mass of the titanium is then calculated using

Density = Mass/Volume

Make Mass the subject of the formula

So, we have

Mass = Volume  x Density

Substitute the known values in the above equation

So, we have the following equation

Mass =125.0 x 4.51

Evaluate the product in the equation

Mass = 563.75

Hence, the mass of the titanium is 563.75 grams

Read more about density at

brainly.com/question/25693692

#SPJ1

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5

To evaluate the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), we first need to parameterize the curve c.

Let t be the parameter such that

x = -1 + 5t,

y = 3 - t,

for 0 ≤ t ≤ 1.

The length of the curve c is given by the integral ∫ c ds, which can be calculated using the formula ∫ a to b \(√(dx/dt)^2 + (dy/dt)^2\) dt. Plugging in the values from the parameterization, we get

\(∫ c ds = ∫ 0 to 1 √(5^2 + (-1)^2) dt = ∫ 0 to 1 √26 dt = √26.\)

Using the parameterization, we can now write the integral as

\(∫ c (3x y) ds = ∫ 0 to 1 (3(-1+5t)(3-t)) √(5^2 + (-1)^2) dt = 78√26/5.\)

Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5.

Learn more about the scalar line integral

https://brainly.com/question/31392715

#SPJ4

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

We can do this by letting x = t and y = 3 - t/2, where -1 ≤ t ≤ 4.

Then, we can find ds/dt using the formula \(ds/dt = \sqrt{(dx/dt^2 + dy/dt^2)}\), which simplifies to

\(ds/dt = \sqrt{(1 + 1/4) } = \sqrt{(5)/2} .\)

Next, we can substitute x and y in terms of t into the integrand and simplify to get:

\(3x y = 3t(3 - t/2) = 9t - (3/2)t^2\)

Now, we can evaluate the integral by integrating with respect to t from -1 to 4:

\(\int c (3x y) ds = ∫ from -1 to 4 (9t - (3/2)t^2) (\sqrt{(5)/2)}  dt\)

\(= (\sqrt{(5)/2)}  [ (9t^2/2) - (3/8)t^3 ] evaluated from -1 to 4\)

\(= (\sqrt{(5)/2)}  [ (81/2) - (243/8) - (-27/8) + (3/8) ]\)

\(= \sqrt{(5)/2)}  [ (189/8) ]\)

= 22.229
Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

for such more question on scalar line integral

https://brainly.com/question/31392715

#SPJ11

The value of f'(x) is [(x + 1)(4(x - 1)³) + (x - 1)⁴(1)] / (e²ˣ(x + 3)√x) + (x - 1)⁴(x + 1) / (e²ˣ(x + 3)√x) * (e²ˣ(x + 3) * (√x + (x + 3)/(2√x)) + √x * e²ˣ(x + 3))

To find the derivative of the given function f(x), we can use the product rule and the chain rule. Let's break down the function and differentiate each term step by step:

f(x) = (x - 1)⁴(x + 1) / (e²ˣ(x + 3)√x)

Applying the product rule, we have:

f'(x) = [(x + 1)(d/dx[(x - 1)⁴]) + (x - 1)⁴(d/dx[(x + 1)])] / (e²ˣ(x + 3)√x) + (x - 1)⁴(x + 1) / d/dx[(e²ˣ(x + 3)√x)]

Now let's differentiate each term separately:

d/dx[(x - 1)⁴] = 4(x - 1)³

d/dx[(x + 1)] = 1

d/dx[(e²ˣ(x + 3)√x)] = (d/dx[e²ˣ(x + 3)√x])

To differentiate the last term, we need to use the chain rule. Let's break it down further:

Let u = e²ˣ(x + 3)√x

Taking the derivative of u with respect to x:

du/dx = (d/dx[e²ˣ(x + 3)√x]) = e²ˣ(x + 3) * d/dx[(x + 3)√x] + √x * d/dx[e²ˣ(x + 3)]

Now let's differentiate each term separately:

d/dx[(x + 3)√x] = (√x) + (x + 3) * (1/(2√x)) = √x + (x + 3)/(2√x)

d/dx[e²ˣ(x + 3)] = e²ˣ(x + 3) * d/dx[(x + 3)] = e²ˣ(x + 3)

Now we can substitute the derivatives back into the expression:

f'(x) = [(x + 1)(4(x - 1)³) + (x - 1)⁴(1)] / (e²ˣ(x + 3)√x) + (x - 1)⁴(x + 1) / (e²ˣ(x + 3)√x) * (e²ˣ(x + 3) * (√x + (x + 3)/(2√x)) + √x * e²ˣ(x + 3))

This is the derivative of the function f(x) with respect to x.

Learn more about derivative here

https://brainly.com/question/29020856

#SPJ4

Complete question is below

Compute f'(x) for the following function. You do not need to simplify your final answer. f(x) = (x - 1)⁴(x + 1)/e²ˣ(x+3)√x

The height of the pencil box is 2 inches

The given parameters are:

Volume = 176

Length = 8

Width = 11

The height of the pencil box is calculated using

Height = Volume/(Length * Width)

So, we have:

Height = 176/(8 * 11)

Evaluate

Height = 2

Hence, the height of the pencil box is 2 inches

Read more about volumes at:

https://brainly.com/question/1972490

#SPJ4

Answer:

2 Inches

Step-by-step explanation:

Good Luck

Answer: x=2

Step-by-step explanation: refer to image

The statements that only apply to C3, C4, and CAM photosynthesis are:

1. C3, C4, and CAM plants all have cells that have chloroplasts which attach CO2 directly to ribulose bisphosphate to produce sugars.

2. CAM plants have one set of cells that harvests CO2 and passes the carbon to another set of cells that builds sugars.

3. Stomata open at night to allow gas exchange and sugars are produced during the day.

The statement that applies to all three types of photosynthesis is: Light energy, CO2, and H20 are needed to make sugars.

C4 and CAM plants have adaptations that prevent the Calvin cycle from shutting down in periods of dryness. These adaptations include C4 plants using a carbon concentrating mechanism that separates the fixation of CO2 from the Calvin cycle and CAM plants using a process called crassulacean acid metabolism (CAM), where CO2 is taken up at night and stored as an acid until the following morning when it is converted into sugars in the Calvin cycle.

To know more about photosynthesis, refer here:

https://brainly.com/question/29764662#

#SPJ11

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

To learn more about percentages refer to:

brainly.com/question/843074

#SPJ4

Answer:

A. x = 15

Step-by-step explanation:

2x + 3 * (x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

5x = 75

x = 15

Answer:

It tells you that a low and a high pressure zone are going to be going thru that area

Step-by-step explanation:

Answer:

cap

Step-by-step explanation:

Answer:

The perimeter of the big rectangle is 38 cm

Step-by-step explanation:

Rectangle 1 and rectangle 2 share the same width, let their width be a cm while Rectangle 3 and rectangle 4 share the same width, let their width be b cm

Rectangle 1 and rectangle 3 share the same length, let their length be x cm while Rectangle 2 and rectangle 4 share the same length, let their length be y cm

The perimeter of a rectangle = 2(length + breadth).

For rectangle 1:

Perimeter = 2(a + x) = 10

a + x = 5            1)

For rectangle 2:

Perimeter = 2(a + y) = 20

a + y = 10          2)

For rectangle 3:

Perimeter = 2(b + x) = 28

b + x = 14         3)

For rectangle 4:

Perimeter = 2(b + y) = 18

b + y = 9         4)

Adding equations 1, 2, 3 and 4 gives:

a + x + a + y + b + x + b + y = 5 + 10 + 14 + 9

a + a + b + b + x + x + y + y  =38

2a + 2b + 2x + 2y = 38

2((a + b) + (x + y)) = 38

For the big rectangle, let its width = c = a + b and its length be d = x + y

The perimeter of the big rectangle = 2 (c + d)

Therefore:

2((a + b) + (x + y)) = 38

2(c + d) = 38 cm = The perimeter of the big rectangle

The perimeter of the big rectangle is 38 cm

The solution to the equation include the following: D. x=1.

In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

bⁿ

Where:

By applying the law of indices for powers to the given expression, we would have the following simplified expression:

\(2^x + 4=2^{3x}\\\\2^x + 2^2=2^{3x}\)

x + 2 = 3x

x - 3x = -2

-2x = -2

x = 1

Read more on exponent here: brainly.com/question/27858496

#SPJ1

Complete Question:

What is the solution to the equation \(2^x + 4=2^{3x}\)?

A. x=2

B, x=-2

C. x=3

D. x=1

The probability that a class of 36 has an average midterm mark that is more than 77.83 is 0.0766. This is because the mean of the normally distributed marks is 78 and the standard deviation is 6. Using the standard normal distribution formula, we can calculate the probability that the average mark of 36 students is more than 77.83.

Standard Normal Distribution Formula: P(x > a) = 1 - P(x < a)

P(x > 77.83) = 1 - P(x < 77.83)

P(x > 77.83) = 1 - 0.9234

P(x > 77.83) = 0.0766

Answer:

D

Step-by-step explanation:

First of all, you are moving right. That means that something gets added or subtracted from the x

To move right whatever number units you move right, will be subtracted from the x.

A and B are are both wrong. It is really the y that the +/- ten changes.

C is wrong because you are moving left, not right.

D is the answer. It is not intuitive, but it is how how move right.

x^2 +3x = x ( x + 3 )

2x^2+9x+5 = − ( 2 x + 1 ) ( x − 5 )

Hope this helps you!

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

In order to determine if there is inconsistency, the data collected from the three instructors would need to be compared and analyzed. Without further information or analysis, it is difficult to determine if there is inconsistency in the grading.

To answer your question, we first need to analyze the data provided for the grade distribution of the three instructors. Unfortunately, you haven't provided any data in your question. However, I can guide you through the process of assessing consistency using the given terms: conducted, assess, and consistency.

Step 1: The university conducted a study on the grade distribution of a multi-section basic statistics course taught by three instructors.

Step 2: To assess consistency in grading, we need to compare the grade distributions of the three instructors. You can use a variety of statistical methods to make this comparison, such as descriptive statistics (e.g., mean, median, and standard deviation), visual representations (e.g., boxplots or histograms), or inferential statistics (e.g., ANOVA or chi-square tests).

Step 3: After analyzing the data, you can determine whether there is any inconsistency in grading among the three instructors. If the grade distributions are similar, it suggests consistency in grading. However, if the distributions differ significantly, it may indicate grading inconsistency.

Remember, to provide a specific answer, we would need the actual data on grade distribution for the three instructors. Once you have that data, you can follow the steps mentioned above to assess the consistency of grading in the course.

to learn more about histograms click here:

brainly.com/question/16819077

#SPJ11

Answer:

11/12

Step-by-step explanation:

the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol

To determine if a high school's claim of having unusually high math SAT scores is justified, we can compare the sample mean with the population mean using a z-score.

The average math SAT score is given as 514 with a standard deviation of 113. A random sample of 60 students from the high school yielded a sample mean of 531. By calculating the z-score and comparing it to the range of usual events, we can assess the validity of the high school's claim. To determine if the high school's claim is justified, we calculate the z-score using the formula: z = (x - μ) / (σ / sqrt(n))

Where:
x is the sample mean (531),
μ is the population mean (514),
σ is the population standard deviation (113),
and n is the sample size (60).

Substituting the values into the formula: z = (531 - 514) / (113 / sqrt(60))
Calculating the z-score gives us a value. By comparing the z-score to the range of usual events, we can determine if the high school's claim is justified. The range of usual events is typically within ±2 standard deviations from the mean. If the z-score falls within this range, it suggests that the sample mean is not significantly different from the population mean, and the claim of unusually high scores may not be justified.

Please note that the provided explanation assumes a normal distribution and the use of a one-sample z-test.

Learn more about z-score here: brainly.com/question/31871890

#SPJ11

Answer:

273

Step-by-step explanation: