Which of the following interpretations for the given expression is correct? 52 + 7 2 + 7 3 The product of x2 + 7 and 3 Bi The quotient of x2 + 7 and 3 OC. The sum of x2 and the quotient of 7 and 3 ED The sum of x2 and the product of 7 and 3.

The value of the copier after 3 years and 6 months can be found by substituting t = 3.5 into the function and solving for V. The salvage value of the copier can be found by substituting t = 5 into the function and solving for V.

After 3 years and 6 months of use, the copier is worth $5,800. This can be found by substituting t = 3.5 into the function V(t)-3600t+20000: V(3.5) = 3600(3.5) - 20000 + 20000 = $5,800.

The salvage value of the copier after 5 years of use is $4,000. This can be found by substituting t = 5 into the function V(t)-3600t+20000: V(5) = 3600(5) - 20000 + 20000 = $4,000. This is the value of the copier when it is sold or replaced after 5 years of use.

The domain of the function is all real numbers because time and value can take on any real value. However, since the function is only defined for the first 5 years of use, t must be between 0 and 5.

The graph of the function is a downward-sloping line with an intercept of $20,000 on the y-axis and a slope of -3600. This means that the value of the copier decreases by $3,600 each year. At t = 0, the copier is worth $20,000, and after 5 years, it is worth $4,000. The graph is a straight line because the function is linear.

Complete Question:

The function V(t)-3600t+20000, where V is value and t is time in years, can be used to find the value of a large copy machine during the first 5 years of use. a. What is the value of the copier after 3 years and 6 months? After 3 years and 6 months, the copier is worth $ b. What is the salvage value of the copier if it is replaced after 5 years? After 5 years, the salvage value of the copier is ts c. State the domain of this function. d. Sketch the graph of this function. 20000 18000 16000 14000 12000 10000 8000 6000+ 4000 2000 4 .

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In a standard additions method workup the information from the linear regression that is most closely related to the unknown concentration is this:  the intercept of the linear regression line.

In the standard additions method workup, the information that is most closely related to the unknown concentration is the intercept of the linear regression line.

The reason why this is the case is that the intercept represents the y-value of the regression line where the line crosses the y-axis. This y-axis is the value of the dependent variable when the independent variable or concentration is zero. So, by solving for the intercept, we can determine the concentration of the unknown sample.

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The objective function formula that is nonlinear is - 2xy/2xy + z

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

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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0.04, 3/11, 0.35, 3/5 would be the solution

Answer:

0

Step-by-step explanation:

picture

Explanation:

The set of data are given below as

Concept:

The formula to calculate the midrange is given below as

By substituting the values, we will have

Hence,

The midrange is

Answer:

-1

Step-by-step explanation:

\(i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1\)

Hope this helps!

After 20 minutes, Nick would have completed a total of 27 problems.

The equation for this situation can be expressed as:

y = mx + b

where:

y represents the total number of problems completed,

x represents the total time elapsed in minutes,

m represents the rate at which Nick completes problems, and

b represents the initial number of problems Nick already completed.

In this case, the initial number of problems completed by Nick in the car is given as 7. Therefore, the equation becomes:

y = mx + 7

Since Nick completes one problem every minute after arriving home, the rate at which he completes problems is 1 problem per minute. Hence, the equation can be further simplified to:

y = x + 7

In this equation, as time (x) increases by one minute, the number of problems completed (y) increases by one. The initial value of 7 accounts for the problems Nick finished in the car before reaching home.

This equation provides a linear relationship between the number of problems completed and the time elapsed. It allows us to calculate the number of problems Nick has completed at any given time by substituting the value of x (time) into the equation. For example, if we want to know the total number of problems Nick has completed after 20 minutes, we can substitute x = 20 into the equation:

y = 20 + 7

y = 27

Therefore, after 20 minutes, Nick would have completed a total of 27 problems.

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Answer:

850m³

Step-by-step explanation:

Volume is length X width X height.

So, 25 x 17 x 2 = 850 meters cubed

As a consequence of ABPC being an equilateral triangle, AB has a length of 3 centimetres and Angle AOB is 60 degrees.

In mathematics, length is a unit used to express an object's size or the separation between two locations. It is the distance between two points and is usually expressed in units like meters, centimeters, feet, or inches. In addition to higher-dimensional objects like a rectangular solid or a cylinder, length can also apply to one-dimensional objects like a line segment or a curve. One of the basic ideas in geometry is length, which is extensively used in a wide range of mathematical applications.

given

Angle AOB is 60 degrees because ABPC is an equilateral triangle. We know that angle COD is 60 degrees because angle AOB is a perpendicular angle to angle COD.

We are informed that the ABPD has a 273 cm2 size. Since ABPD is a trapezoid with the bases AB and PD, we can use the calculation for a trapezoid's area to determine its height:

Area of ABPD equals (bases added together) Times (height) / 2.

27√3 Equals (AB + PD) * h / 2

Since ABCD is a rhombus, we can replace PD = CD = AB/2 to get:

27√3 Equals (AB + AB/2) * h / 2

When we simplify the solution, we obtain:

h = (54√3) / (3AB Plus AB)

h = (54√3) / (4AB) (4AB)

We can now translate h into x using the calculation for an equilateral triangle's area:

(x^2√3) / 4 = (1/2) * AB * (54√3) / (4AB) (4AB)

When we simplify the solution, we obtain:

x^2 = 27

x = √27

x = 3√3

As a consequence of ABPC being an equilateral triangle, AB has a length of 3 centimetres and Angle AOB is 60 degrees.

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The complete question is:-   In the given diagram, ABPC is an equilateral triangle and ABCD is a rhombus. If the area of ABPD is 27√3 cm2, find the length of AB.

Answer:

D) 4th one is the correct answer.

Step-by-step explanation:

original, question line : 4/5 then it can be converted to percentage 4/5 * 100 = 80%

a) 2/3 * 100 = 200/3

b) 5/8 * 100 = 62.5%

c) 10/12 * 100 = 250/3 %

d) 8/10 * 100 = 80% ..this matches with the required first line and applicable.

∵ 4th one is correct according to steps. : D

Answer:

f(-3)= 5

Step-by-step explanation:

f(x) = 2x+1   f(-3)  -3 is the input.

     = 2(-3)+1

     = -6+1

f(-3) = -5

Hope this helps :)

Answer:

SQR = 60

Step-by-step explanation:

BISECTS both angles are equal

RQS = SQP

5x+10=7x-10

20=2x

10=x

-------------------

5(10)+10=50+10=60

60 + 60 =120

Respuesta:

1/2; 4/3; 5/3; 1/4; 1/6; 4/7

Explicación paso a paso:

1.)

4/6 * 3/4

= 24/12

= 1/2

2.) 14/5 * 10/21

= 2/1 * 2/3

= 4/3

3.)

4/10 * 6/9

= 60/36

= 5/3

4.) 3/8 * 6/9

= 1/4 * 3/3

= 3/12 = 1/4

5.)

4/10 * 5/12

= 20/120

= 1/6

6.)

15/9 * 20/21

= 3/3 * 4/7

= 4/7

The shipping and handling price is $174.96

The price of the gold ring = $699.84

Shipping and handling price is 25% of the price of the gold ring.

x% means x/100. So 25 % = 25/100 in ratio.

x% of y can be found by (x/100) x y = xy/100

So, (25/100) x 699.84 = (1/4) x 699.84 = $ 174.96.

So Latrell has to pay an amount of $174.96 for shipping and handling.

Then he total price of ring becomes $699.84 + $ 174.96 = $874.8

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True -  the statement says that a basic variable corresponds to a pivot column in the coefficient matrix. From the definition of basic variables, basic variables correspond to the columns that have a leading 1's (pivot columns).

A mathematical system model based on the use of a linear operator is known as a "linear system" in systems theory. In contrast to nonlinear cases, linear systems often display considerably simpler traits and attributes.

In linear systems, the variables are really only multiplied with constants and then added together; they are never multiplied by each other. In order to express both static and dynamic relationships between variables, linear systems are used.

Something relating to a line is linear. To build a line, all of the linear equations are used. Any equation that doesn't result in a straight line is considered as non. It has a variable slope value and appears as a curve on a graph.

A linear system is one in which both the superposition and homogeneity principles hold true.

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Answer:

You can get 24 apples cheaper at the corner shop for 6.4 euros

Step-by-step explanation:

Corner shop

1 apple = 0.4 euros

Since you get one free apple for every two apples, you're getting 3 apples for 0.8 euros.

3 apples = 0.8 euros

Supermarket

4 apples for 1.30 euros

In the corner shop, to get 24 apples you have to pay = 24:3*0.8 = 8*0.8=6.4 euros
In the supermarket, to get 24 apples you have to pay = 24:4*1.30 =  7.8 euros

According to general rules, what you can do now is; Ascend right away to 15 feet and stay there for 8 minutes before going to the surface and not dive for 6 hours

We are given;

Initial distance dived = 56 feet

Time for initial dive = 47 minutes

Time from finishing of initial dive to start of second dive = 30 minutes

Second dive distance = 56 ft

Her current bottom time is now 25 minutes

Now, bottom time is defined as the total time, in minutes, from the beginning of a descent to the beginning of an ascent.

Thus, according to general rules, what you can do now is to Ascend right away to 15 feet and stay there for 8 minutes before going to the surface and not dive for 6 hours

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Answer:

42

Step-by-step explanation:

7 * 6 = 42

Hope this helps!

Answer:

42

Step-by-step explanation:

6 x 7 =42

Hope this helps! Please mark brainiest!

In the given question both the options D and E are necessary for the Central Limit Theorem to hold.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that describes the behavior of sample means when the sample size is large. According to the CLT, the distribution of sample means approaches a normal distribution regardless of the shape of the original population distribution, given certain conditions.

Option A states that each individual measurement must be normally distributed. This is not a necessary condition for the CLT to hold. The original population distribution does not have to be normal; it can be any distribution shape.

Option B states that each individual measurement must be identically distributed. This is not a necessary condition for the CLT to hold. The measurements can have different distributions, as long as they satisfy the other conditions.

Option C states that each individual measurement must be independent of every other measurement. This is a necessary condition for the CLT to hold. The independence of measurements ensures that each observation contributes to the overall sample mean independently, without being influenced by other observations.

Therefore, options D and E are the correct choices. Both the independence of measurements (option C) and a sufficient sample size (option B) are necessary conditions for the Central Limit Theorem to hold.

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Answer:

m+g\(\leq\)40

12m + 14g\(\geq\)250

Step-by-step explanation:

Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

m+g\(\leq\)40

12m + 14g\(\geq\)250

1) Quadrilateral \(ABCD\) with diagonal \(\overline{AEC}\) bisecting \(\angle DAB\), \(\overline{BE}\), \(\overline{DE}\), \(\angle 1 \cong \angle 2\) (given)

2) \(\angle BAE \cong \angle EAD\) (definition of an angle bisector)

3) \(\overline{AE} \cong \overline{AE}\) (reflexive property)

4) \(\triangle BAE \cong \triangle DAE\) (AAS)

5) \(\overline{AB} \cong \overline{AD}\) (CPCTC)

6) \(\overline{AC} \cong \overline{AC}\) (reflexive property)

7) \(\triangle BAC \cong \triangle DAC\) (SAS)

8) \(\overline{BC} \cong \overline{DC}\) (CPCTC)

The probability of getting a return of 200% or more in a single year is approximately 0.0000317 or 0.00317%.

Assuming that the returns from holding small-company stocks are normally distributed, the probability of doubling or tripling your money in a single year can be estimated using the normal distribution formula.

To calculate the probability of doubling your money, you need to find the number of standard deviations away from the mean that represents a return of 100%. If we assume that the average return for small-company stocks is 10% per year with a standard deviation of 20%, we can use the formula:

Z = (100% - 10%) / 20% = 4.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 100% or more in a single year is approximately 0.0000317 or 0.00317%.

Similarly, to calculate the probability of tripling your money, you need to find the number of standard deviations away from the mean that represents a return of 200%. Using the same formula as above, we get:

Z = (200% - 10%) / 20% = 9.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 200% or more in a single year is approximately 0.000000002 or 0.0000002%.

It's important to note that these calculations are based on assumptions and estimates, and actual returns may vary significantly. Investing in small-company stocks involves significant risks, and investors should carefully consider their investment goals, risk tolerance, and overall financial situation before making any investment decisions.

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Answer:

6.7 units

Step-by-step explanation:

The shortest distance between two lines is the perpendicular line.

y = 2x + 3

Slope of the perpendicular line: - 1/2

Point (-5,8)

b (y-intersect) = 8 - (-1/2)(-5) = 11/2

Perpendicular line equation: y = -1/2x + 11/2

y = y

2x +3 = -1/2x + 11/2

2x + 1/2x = 11/12 - 3

5/2x = 5/2

x = (5/2) / (5/2)

x = 1

Plug x = 1 into any of the equations of the line to find y.

y = 2x + 3

y = (2*1)+3 = 5

Points from the perpendicular line (1,5) and (-5,8)

Distance between these two points:

d = sqrt[(-5-1)^2 + (8-5)^2]

= sqrt (6^2 + 3^2) = sqrt 45

= 6.7

24 thats my answer to everything

The two points where the line meets the circle are (3,6) and (8,3).

To find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16, we need to first solve the system of equations.

We can start by simplifying the equation of the line by dividing both sides by 2, giving us x+y=9. We can then substitute y=9-x into the equation of the circle,

which results in (x-2)^2+(9-x-3)^2=16. Simplifying this equation yields x^2-4x+4+x^2-12x+81=16. Combining like terms and solving for x, we get x=3 or x=8.

Substituting these values back into the equation of the line gives us the corresponding y-coordinates of 6 and 3, respectively.

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