In the figure below, if line r is parallel to line s, mA = 4x+9 and m

Answer:

no solutions

Step-by-step explanation:

4 + 5m = 4m + 1 + m combine like terms

4 + 5m = 5m + 1 subtract 5m from each side

4 = 1

4 can never equal 1, so no value of m would allow the equation to be correct

The left side 4+5m is the same as 5m+4

Simplifying the right hand side has 4m+1+m turn into 5m+1

The original equation is equivalent to 5m+4 = 5m+1

If we subtract 5m from both sides, the 5m terms cancel leaving us with 4 = 1, but that's not a true statement.

Regardless of whatever value you pick for m, the original equation will not be true.

Answer: 1 hand = 0.22... cubits.

Step-by-step explanation:

We want to write the relation between hands and cubits.

We know that there are 9 hands in 2 cubits.

So we can write:

9 hands  = 2 cubits.

Now, we want to have an unit in the left side (so we can see how many cubits are equal to exactly one hand).

Then we can divide by 9 in both sides of the equality.

(9 hands)/9 = (2 cubits)/9

1 hand = 0.22... cubits.

Answer:

22.5 hands = 3 paces

Step-by-step explanation:

Nobody answered b yet again.

Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.

(a) which variable is independent and which variable is dependent in this scenario?

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks  

Answer:

Step-by-step explanation:

From the given information:

(a) which variable is independent and which variable is dependent in this scenario?

An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.

A dependent variable is a variable where on variable is dependent on the other variable.

From the question given;

time (t) in minutes is the independent variable

Distance D from home is the dependent variable

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      

We are being told that Evin starts 38 blocks from home,

Then she is just starting, i.e from rest

Then; at time t = 0 , she is 38 block distance from home

However, if she walks 2 blocks each minute,

then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.

If she walks for 5  minutes,

then she will be (38 - 2(5) ) blocks away from home

= 38 - 10

= 28 blocks away from home

If she walks for 10 minutes,

then she will be (38 -2(10)blocks away from home

= 38 - 20

= 18 blocks away from home.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      38              36         28        18

Answer:

Step-by-step explanation:

Cluster means group of dots.  Put a circle around those groups of dots that are close to each other.  

Outlier means the dot that is not near cluster.  Circle that 1 dot for outlier

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

x = 2

Step-by-step explanation:

9/3 = 3, so we can rewrite the equation as

Answer:

16, 10, 0

You plug in the x into the function

Using the z-distribution, it is found that since the test statistic is more than the critical value for the right-tailed test, this is evidence of a change in education level among mothers.

At the null hypothesis, it is tested if the proportion is still the same, that is:

\(H_0: p = 0.31\)

At the alternative hypothesis, it is tested if it has increased, that is:

\(H_1: p > 0.31\)

It is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In this problem, the parameters are:

\(\overline{p} = 0.32, p = 0.31, n = 8368\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.32 - 0.31}{\sqrt{\frac{0.31(0.69)}{8368}}}\)

\(z = 1.98\)

Considering a right-tailed test, as we are testing if the proportion is greater than a value, and the standard significance level of 0.05, the critical value is of \(z^{\ast} = 1.645\).

Since the test statistic is more than the critical value for the right-tailed test, this is evidence of a change in education level among mothers.

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Answer:

(1,-9)

Step-by-step explanation:

Answer:

(1,-9)

Step-by-step explanation:

If all of the ratios of the variables are equal, then there is a proportional link between the two variables.

One variable is usually a constant value multiplied by the other in proportional interactions. The proportionality constant is the name given to the constant value.

A set of equal ratios connected to one another by a constant of proportionality make up a proportional relationship between two quantities. Different, related representations of proportional connections include tables, equations, graphs, and written descriptions.

We'll now look at a real-world illustration of a proportionate relationship: There is a correlation between the quantity of fuel we put in our car's tank and the price we will have to pay when we fill it up. In other words, we will pay more money the more gas we put in.

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In this experiment, the independent variable is the cost of meals. The researchers are manipulating or varying the cost of meals to observe its effect on the frequency of burping.

The researchers should present the data as a scatter plot or a line graph. This type of graph allows for the visualization of the relationship between the independent variable (cost of meals) and the dependent variable (frequency of burping). The x-axis would represent the cost of meals, and the y-axis would represent the frequency of burping. Each data point would correspond to a specific meal, with the x-coordinate representing the cost and the y-coordinate representing the frequency of burping observed during that meal. By plotting the data points and observing the overall trend, the researchers can analyze whether there is a correlation between the cost of meals and the frequency of burping.

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y=5x+20

If you need to you can graph this in Desmos.

y is cost, 5 is price per dog, x is the number of dogs 5 and x times each other. y is total cost.

I hope this helps.

Answer:

y = 20+5x

Step-by-step explanation:

Hi there!

Let x be the number of dogs walked and y be the total cost.

We're given that Pilar charges a flat rate of $20 per walk...

y = 20 dollars

...plus $5 for every dog:

y = 20+5x dollars

I hope this helps!

Answer:

£312

Step-by-step explanation:

A type I error occurs when a researcher mistakenly rejects a true null hypothesis. In other words, it is a false positive result. Let's break down what happens in a type I error:

1. The researcher starts with a null hypothesis, which assumes that there is no significant relationship or effect between the variables being studied.

2. To test the null hypothesis, the researcher collects data and performs statistical analysis.

3. In a type I error, the researcher incorrectly concludes that there is a significant relationship or effect when, in fact, there is none.

4. This error can happen due to various reasons, such as sample size, random chance, or flaws in the experimental design.

To avoid type I errors, researchers typically set a predetermined significance level (often denoted as α) before conducting the study. The significance level represents the probability of making a type I error. By setting a lower significance level, such as α = 0.05, researchers aim to reduce the chances of mistakenly rejecting the null hypothesis.

In the context of the given question, if the researcher is trying to reduce error and avoid a type I error, it means they want to minimize the risk of incorrectly inferring findings to another practice setting. This would increase the confidence that nurses have in applying the research findings to their own work.

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Answer:

9 (2p + 1)

Step-by-step explanation:

(18p + 9)

GCF = 9

so, divide everything by 9

9 (2p + 1)

Answer:

Slope: -1; y-intercept: -5

Step-by-step explanation:

Given:

2x + 2y = -10

Question:

What is the slope and y intercept?​

Work:

The "template" for the slope of a line is: y = mx + b. "m" is the slope, "x" is a variable, and "y" is the y-intercept.

Hope this helped! :D

Answer: The first hour is free, and the rest charges is $2.50

Let x be the time.

Let y be the total

Your equation will look like

When x < 2, y = 0

When x > 1, y = $2.50(x)

So:

1 < x < ∞ for hours, then equation will look like:

y = total amount

$2.50 is cost (remember that the first hour is for free, and so you subtract $2.50 from the total.

$2.50x - $2.50 = y should be your equation.

hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

Answer:

480

Step-by-step explanation:

25-13=12

12 x 80=960

960 divided by 2=480

Answer:

$52.50

Step-by-step explanation:

What you do is you move the decimal two times to the left from 75%.

0.75*?=?

Take the orginal price and multiply ($30) by 0.75.

0.75*30= $22.50

Take 22.50 and add that to your original amount.

$22.50+$30= $52.50 or $52.5

Answer:

30 minutes

Step-by-step explanation:

If the campsite is only a mile away and they can walk 2 miles per hour, then it will only take them half an hour.

Answer:

A.  (5,-9) and (5,9) are reflections over the y-axis

Step-by-step explanation:

Answer:

1 its linear

and 2 it goes through the origin so its most likely proportional.

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs

raise in water level = 14700-1500= 13200

the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h

The sum of the given expression will be 2a+7b+-d.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now

Given expressions are 1.5b-2c+3-d 2.a+2b-c+d 3.2-d+3c+a

By adding these

=a+a+5b+2b-2c-c+3c-d+d-d

=2a+7b-d

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The correct parametric equations for the motion of Car A and Car B are: Car A: x = 70t, y = 5 + 70t; Car B: x = 6 - 50t, y = 50t. Option C is correct.

Car A is traveling north at a speed of 70 mph. Therefore, its velocity vector can be represented as <0, 70>.

Car B is traveling west at a speed of 50 mph. Therefore, its velocity vector can be represented as <-50, 0>.

Let's assume that at time t = 0, Car A is at position (0, -5) and Car B is at position (6, 0).

Then, the position vectors for Car A and Car B at any time t can be given as:

Position of Car A = <0, -5> + t<0, 70> = <0, 70t-5>

Position of Car B = <6, 0> + t<-50, 0> = <6-50t, 0>

Therefore, the parametric equations for the motion of Car A and Car B are:

Car A: x = 0, y = 70t-5

Car B: x = 6 - 50t, y = 0

So, option C is the correct answer.

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Answer:

\(\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1\)

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

\(\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1\)

In the graph a = 60 and b = 11

So

\(\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1\).

\(\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1\)

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

first blank- technological skills

second blank- vision

Step-by-step explanation: