Write the following using algebraic notation, using the letter x for any unknown numbers:

I think of a number, subtract 3 then multiply by 4​

Answer:

100 Times larger.

Step-by-step explanation:

4500000/45000=100

Answer:

(-5/2,5)

I hope it will be useful.

The coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now the given coordinates are,

(-4,10) and (2,-10)

Thus, we have,

x₁  = -4

y₁ = 10

x₂ = 2

y₂ = -10

Given ratio, m₁ : m₂ = 1 : 3

⇒ m₁ =  1; m₂ =  3

Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.

Since the section formula is given as,

So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)  

y =  (m₁y₁ + m₂y₂) / (m₁ + m₂)  

Put the values,

x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4

⇒ x = 1/2

Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4

⇒ y = -5

So, the required coordinates are (1/2, -5)

Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

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Here we want to know the expression in the new funtion

Let s look at the difference between the two functions so as to be clear with the situation.

The funtion f(x) starts at the origin.

Looking at the function h(x), we can see that it starts out at the point x = -6

We can use these starting point to actually predict what the function will look like

In this case, the function h(x) has its expression as

Option B is the correct option for the function h(x)

Answer:

The correct answer is: D Conditional Statement. Explanation: A conditional statement is a statement in "if, then" form. This statement is "If A, then B." This makes it a conditional statement

Step-by-step explanation:

Step-by-step explanation:

crossmultiply and divide both sides by the co efficient of x

It should be noted that SAS stands for Statistical Analysis System (SAS). It is an integrated system of software products provided by SAS Institute Incm

For data management, advanced analytics, multivariate analysis, business intelligence, criminal investigation, and predictive analytics, the SAS Institute created a statistical software suite. From 1966 until 1976, when SAS Institute was incorporated, SAS was created at North Carolina State University.

Information retrieval and data management are two tasks that programmers can carry out with the help of SAS Institute Inc.'s integrated system of software products, the Statistical Analysis System (SAS). writing and graphics for reports. data mining, econometrics, and statistical analysis.

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a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).

TC = 100Q - Q² + 0.3Q³

Marginal cost (MC) = dTC/dQ

= d/dQ(100Q - Q² + 0.3Q³)

= 100 - 2Q + 0.9Q²

To find the average cost, we need to divide the total cost by the rate of output (Q).

Average cost (AC) = TC/Q

= (100Q - Q² + 0.3Q³)/Q

= 100 - Q + 0.3Q²

b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.

AC = 100 - Q + 0.3Q²

dAC/dQ = -1 + 0.6Q

= 0-1 + 0.6Q

= 00.6Q

= 1Q

= 1/0.6Q

≈ 1.67

Therefore, the rate of output that results in minimum average cost is approximately 1.67.

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Answer: x to the third power minus 10x to the second power plus 19x plus 6 .

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

Perpendicular bisector: A line that bisects a line segment in two equal parts.

Median: The middle number; found by ordering all data points and picking out the one in the middle.

Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

Therefore, a police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

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Answer:

220 automóviles

Step-by-step explanation:

Aquí, queremos saber la cantidad de autos que ingresarán al garaje cuando esté completamente ocupado.

De la pregunta, nos dicen que hay 3 pisos. Para el 1er piso, hay 5 filas de 20 lugares.

El número total de autos que pueden estar en esto será 5 * 20 = 100 autos.

Para el segundo y tercer piso, tenemos 4 filas de 15 cada una.

El número total de autos aquí será 2 (15 * 4) = 2 * 60 = 120 autos

El número total de automóviles cuando está completamente ocupado es, por tanto, = 100 + 120 = 220 automóviles

The logarithm expression when evaluated is lg(1000a²/b⁴)

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

3+2lg a-4lg b

Apply the exponent law of logarithm

3 + lga² - lgb⁴

Apply the quotient law of logarithm

So, we have the following representation

3 + lg(a²/b⁴)

Also, we have

lg1000 = 3

Next, we have

lg1000 + lg(a²/b⁴)

So, we have

lg(1000a²/b⁴)

Hence, the solution is lg(1000a²/b⁴)

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Answer: 8:1

Step-by-step explanation:

To find the simplest ratio of 4 kg of metal to 500g of plastic, we need to convert both quantities to the same unit of measurement. Let's convert 4 kg to grams:

Now we have 4000 g of metal and 500 g of plastic. To simplify the ratio, we can divide both quantities by their greatest common factor (GCF), which is 500:

Therefore, the simplest ratio of 4 kg of metal to 500g of plastic is 8:1.

________________________________________________________

The total weight of metal and plastic in the ratio 8:1 is indeed 4.5 kg.

The total weight of metal and plastic is:

The simplest ratio of metal to plastic is found by dividing both quantities by their greatest common factor.

The greatest common factor of 4 kg and 0.5 kg is 0.5 kg. Dividing both quantities by 0.5 kg gives:

\(\therefore\) The simplest ratio of metal to plastic is 8:1.

To check, we can verify that:

So the total weight of metal and plastic in the ratio 8:1 is indeed 4.5 kg.

\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)

Answer:

22

Step-by-step explanation:

Answer:

there are 22 empty spots at the table

Step-by-step explanation:

Answer:

the Distributive Property can relate to factoring expressions Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

hoped this helped! can i get a brainliest?? c:

Answer:

D

Step-by-step explanation:

Just plug in and check.  Plug in the first digit for x and the second digit for f(x)

First, try A. Does 5^0= 5?  no so A is wrong

Now try B.  Does 5^5=1?  no so B is also wrong

Next try C.  Does 5^0=0? no so C is wrong.

Finally, try D.  Does 5^1=5?  Yes so D is correct.

The probability of randomly picking an orange from Jeff's box of fruit is 0.25 or 25%.

To determine the probability of picking an orange from Jeff's box of fruit, we need to first understand the concept of probability. Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

In this case, we know that Jeff has a box of fruit, and we are interested in the probability of picking an orange. To calculate this probability, we need to know the total number of fruits in the box and the number of oranges.

Assuming that Jeff's box contains a variety of fruits, we can estimate the total number of fruits in the box. Let's say there are 20 fruits in total. Now, we need to determine the number of oranges in the box. Let's say there are 5 oranges in the box.

To calculate the probability of picking an orange, we can use the following formula:

Probability of picking an orange = Number of oranges / Total number of fruits

Plugging in our numbers, we get:

Probability of picking an orange = 5 / 20

Simplifying, we get:

Probability of picking an orange = 0.25

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We have the next formula to calculate the volume of the cylinder

where

r is the radius

h is the height

in our problem

r=3in

h=9in

we substitute the values

the volume round to the nearest tenth is V=254.5 in ^3

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

Answer:

132 cm²

Step-by-step explanation:

To find the area of the figure, start by dividing the figure into smaller rectangles.

Area of figure

= area of shaded rectangle +area of unshaded rectangle

\(\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}\)

Shaded rectangle

Length= 4 cm

Breadth= 6 cm

Area

= 4(6)

= 24 cm²

Unshaded rectangle

Length= 9 cm

Breadth= 12 cm

Area

= 9(12)

= 108 cm²

After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.

Area of figure

= 108 +24

= 132 cm²

Answer:

6.50

Step-by-step explanation:

To start off, note that 6 1/2 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.

6 = Whole number

1 = Numerator

2 = Denominator

To get 6 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

Here are the detailed math steps we use to convert 6 1/2 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

6 × 2 = 12

Step 2: Add the product you got in Step 1 to the numerator:

12 + 1 = 13

Step 3: Divide the sum from Step 2 by the denominator:

13 ÷ 2 = 6.5

That's it! The answer to 6 1/2 in decimal form is displayed below:

6 1/2 = 6.50

Hope this helps

Answer:

zeros= none

axis of symmetry= 3

vertex = 3,1

y int. = 7

domain= Xer

range= y >7, yer

Answer:

$50.83

Step-by-step explanation:

44.20 x .15 = 6.63

44.20 + 6.63= 50.83

Answer:

50.83

Step-by-step explanation:

15% of 44.20 is 6.63, so add 44.20 and 6.63 to get your answer.

Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

a_n = 4n + 10

a_5 = 4(5) + 10 = 30

a_6 = 4(6) + 10 = 34

a_7 = 4(7) + 10 = 38

Answer: A.)

Answer:

The surface integral can be evaluated as 8π units.

Step-by-step explanation:

To evaluate the surface integral (x + y + z) dS, we consider the given surface S, which is part of the half-cylinder defined by the equation x^2 + z^2 = 1 and the condition z ≥ 0. This surface lies between the planes y = 0 and y = 2.

To evaluate the surface integral, we need to parameterize the surface S. Since the surface is defined by the equation of a cylinder, we can use cylindrical coordinates to parameterize it. Let's use the parameters ρ, φ, and z to represent the surface S.

In cylindrical coordinates, the equation of the half-cylinder becomes ρ = 1 and the surface S lies in the range φ: 0 ≤ φ ≤ 2π.

The surface integral can be expressed as the double integral over the parameter domain D in the ρ-φ plane, which corresponds to the projection of S onto the ρ-φ plane.

Since the surface lies between the planes y = 0 and y = 2, we have the condition 0 ≤ y ≤ 2 in the Cartesian coordinates. In cylindrical coordinates, this condition can be expressed as 0 ≤ ρsin(φ) ≤ 2. Simplifying this inequality, we get 0 ≤ ρ ≤ 2csc(φ).

Combining the parameter ranges, the parameter domain D is given by 0 ≤ ρ ≤ 1 and 0 ≤ φ ≤ 2π.

Now, we can evaluate the surface integral by integrating (x + y + z) over the parameter domain D:

∫∫(x + y + z) dS = ∫∫(ρcos(φ) + ρsin(φ) + z) ρ dρ dφ

Integrating over the parameter domain D, we get:

∫∫(x + y + z) dS = ∫₀²π∫₀¹((ρcos(φ) + ρsin(φ) + z)ρ) dρ dφ

Evaluating this double integral yields the result 8π units.

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The Median for the following data 3 445 712 767 will be 578.5.

One measure of central tendency is the median. The median of a set of numbers is its midway value. It splits a sample of given data into the upper and lower halves. A minimum of half of the observations are above the median and a minimum of half are below it.

When there are exactly even numbers of observations in a data collection, the median can be calculated as follows:

sorting of the sample data in ascending or descending order.

If there are an even number of observations (let's say n), identify the (n/2)nd and [(n/2) + 1] th observations.

The average of the top two observations is the same as the median of the data given (as determined in step 2).

Here n = 4, So [4/2 + (4/2)+1}/2, So the median will be 578.5.

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Answer:

-6

Step-by-step explanation:

Hello!

Since we are finding f(-1) we put -1 in for x

2(-1)^2 + 8(-1)

Follow PEMDAS

2 * 1 + 8(-1)

2 * 1 + -8

2 + -8 = -6

The answer is -6

Hope this helps!