5. A line has a slope of (-3/2) and a y-intercept of (-4). Write the equation of the line.
Explanation:

Answer:

12 + 15= 27/2 = 13.5 kg

Step-by-step explanation:

Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

\(answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps\)

Answer: I don’t understand this language

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

divide 36 by 10 be sure it's the easiest part

Answer:

Unit rate per year is :---

\( \frac{(50.4 - 7.2)}{(14 - 2)} = \frac{43.2}{12} = \boxed{3.6 \: feet \: per \: year} \\\)

Answer:

9

Step-by-step explanation:

Answer:31

Step-by-step explanation: solve it

Answer:

what happened

Step-by-step explanation:

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4

What is a supplementary angle?

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 = 180° (Linear pair theorem).

m∠1 + m∠4 = 180° (Linear pair theorem).

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Complete Question:

Consider the diagram of two intersecting lines and the angles that are formed.

Which statement will help to show that ∠2≅∠4?

a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.

b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.

c.) m∠1+m∠3=90°.

d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.

The equation of the line would be y - 20 = 12(x - 1).

Option (C) is correct.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                     y - y1 = m(x - x1)

Let's suppose on the y-axis there will be a number of copies sold and on the x-axis, there will be a number of days.

On day 1, he sold 20 copies so point would be (1, 20)

On day 2, he sold 32 copies so point would be (2, 32)

Slope of the line = (y2 - y1)/(x2 - x1)

                            = (32 - 20)/(2 - 1)

                         m = 12

By using the slope-point form of the line,

       y - y1 = m(x - x1)

       y - 20 = 12(x - 1)

Hence, the equation of the line would be y - 20 = 12(x - 1).

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Answer:

yup very easy

Step-by-step explanation:

Answer:

\(\displaystyle \sec A=\frac{65}{63}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \csc A=\frac{65}{16}\)

Where A is in QI.

And we want to find sec(A).

Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:

\(a=\sqrt{65^2-16^2}=\sqrt{3969}=63\)

So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.

Since A is in QI, all of our trigonometric ratios will be positive.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

\(\displaystyle \sec A=\frac{65}{63}\)

Answer:

Step-by-step explanation:

cosec A =60/16

hypotenuse/opposite = 60/16 =15/4 (in simplest form)

therefore hypotenuse = 15 , opposite = 4  

then adjacent =? (let be x)

using pythagoras theorem to find adjacent

opposite^2 + adjacent^2 = hypotenuse^2

4^2 + x^2 = 15^2

16 + x^2 = 225

x^2 = 225 - 16

x^2 = 209

\(x=\sqrt{209}\)

sec A =hypotenuse/adjacent

\(=\frac{15}{\sqrt{209} }\)

\(=\frac{15}{\sqrt{209} } * \frac{\sqrt{209} }{\sqrt{209} }\)

=\(\frac{15\sqrt{209} }{209}\)

Answer:

Step-by-step explanation:

$67.50

Answer:

h = 41.25 foot

Step-by-step explanation:

Given that,

Height of a street light = 7.5 feet

It casts a 3-foot-long shadow.

A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :

\(\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot\)

So, the height of the flag pole is equal to 41.25 foot.

The height of the flag pole is 41.25 feet tall.

Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.

From the parameters given:

Let the height of the flag pole be = x

∴

To determine the height of the flag pole, we have:

\(\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }\)

x = 41.25 feet tall

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Euler's Method is a numerical method used to approximate the solutions of differential equations. It uses the formula y(t + h) = y(t) + hf(t), where f(t) is the derivative of y(t), h is the step size, and t is the time.

Given the initial value problem ay'=6+t-y, y(0)=1 with step size h=0.1 and the goal to find approximate values of the solution at t = 0.1, 0.2, 0.3, and 0.4, we can use the Euler Method to approximate the solution. The solution can be found using the following steps:

By applying this method to the given problem, the approximate solutions of y at the given values of t are:

The solution of the given problem can be found by solving the initial value problem analytically. The solution is y(t) = 4t + e-t, and its value can be found by evaluating the solution at the given values of t. The results are:

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The sampling distribution of the sample mean amount of money in a savings account is b. approximately Normal, with a mean of 300 and a standard error of 316.23

The sampling distribution of the sample mean follows the Central Limit Theorem, which states that for a sufficiently large sample size (n) the sampling distribution of the sample mean will be approximately Normal, regardless of the shape of the population distribution.

In this case, we have a sample size of 10 which is relatively small, but since the population standard deviation is known we can use the formula for the standard error of the mean, which is given by:

standard error of the mean = population standard deviation / sqrt(sample size)

Plugging in the values, we get:

standard error of the mean = 1000 / sqrt(10) = 316.23

Therefore, the sampling distribution of the sample mean will be approximately Normal, with a mean of 300 (same as the population mean) and a standard error of 316.23.

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Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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Answer:

2000 kg.

Step-by-step explanation:

Density = mass / volume

-->  mass = density * volume

-->  mass =  40 * 50

-->  mass = 2000 kg.

A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.

The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.

In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.

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Answer: y=2x+1       sjsjrhrhfhhhxhh

Answer: its y=-2x-1

Step-by-step explanation:

Answer:

Domain = {x | x is a real number}

Look at the step-by-step explanation to get a better understanding

Step-by-step explanation:

Domain = {x | x is a real number}

The function shown  f(x)=5^x-7 is an exponential function with a vertical shift  of  -7 units (shift downwards). Nevertheless, it is an exponential function.

Domain is the set of x-values that we can put into the function. Exponential functions of this type have a domain of "all real numbers". If you see the function, you can figure out that we can put any real number and still there will be no "undefined" or "division by zero" cases.

Thus, this function's domain is the set of all real numbers.

Domain = {x | x is a real number}

Hope you fond this helpful! :)

Answer:

all real numbers

Step-by-step explanation:

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Answer:

x=15, y=7

Step-by-step explanation:

Angles that form a linear pair are supplementary, so:

\(2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7\)

Answer:

\(x=\boxed{15}\\\\y=\boxed{7}\)

Step-by-step explanation:

Angles on a Straight Line Theorem

The sum of angles on a straight line is equal to 180°.

Solving for x:

\(\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}\)

Solving for y:

\(\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}\)

Therefore:

\(x=\boxed{15}\\\\y=\boxed{7}\)

From the above given options by using app is more accurate and reliable so option b is correct

The question is incomplete the options are not given the options are:

a. Marcus should ask each of his classmates to write down on a piece of paper how many hours of sleep they get per night and hand the paper to him.

b. Marcus should have them download an app that tracks their phone geolocation and activity so he can see when their phones are in their rooms and not being used. From this data he can figure out how long each student sleeps.

given that

Marcus wants to learn about the sleeping habits of students in his class.

Marcus wants to collect data from his classmates to learn how many hours of sleep his classmates get.

He then wants to process this data with a computer and visualize it in a Histogram

survey can be done in different ways:

1. by asking question

2. survey

3. observation

From the above given options by using app is more accurate and reliable so option b is correct

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Answer:

congruent

Step-by-step explanation:

read warriors

by eren hunter

Answer:

that would be 24%

Step-by-step explanation:

Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.

Answer:

24%

Step-by-step explanation:

the fraction form is 24/100, meaning the percentage is 24% put of 100%