A+b
A*b
A-b
A *divide sign*
Which one isn't closed

Answer:

2a is the answer

Step-by-step explanation:

By interpreting the student's grade of 85% and knowing that 3 questions were answered incorrectly, we can infer that the test consisted of 20 questions in total.

To calculate how many questions were on the test, we first need to establish the relationship between the number of questions answered incorrectly and the student's overall percentage score. If the student got an 85% on the test, this means they answered 85% of the questions correctly. With 3 questions answered incorrectly, we can assume that these incorrect answers account for the remaining 15%. To find the total number of questions on the test (let's denote it as x), we set up a simple equation:

0.15x = 3

Solving for x yields:

x = 3 / 0.15

x = 20

Therefore, the test consisted of 20 questions in total.

The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.

To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:

Simple Interest = Principal * Rate * Time

where Rate is the interest rate as a decimal, and Time is the time period in years.

We can rearrange this formula to solve for the Principal:

Principal = Simple Interest / (Rate * Time)

In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:

Simple Interest = $3000

Rate = 0.06

Time = 5 years

Plugging these values into the formula, we get:

Principal = $3000 / (0.06 * 5) = $10,000

Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.

The value of F(4) in the given function is: f(4) = 7

The domain of a function is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values for which the function is possible.

We are given the function as:

f(x) = 3x - 5

Thus f(4) will be gotten as:

f(4) = 3(4) - 5

f(4) = 7

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Final answer:

To find the total number of questions on the test, we divide the number of correctly answered questions (96) by the score as a decimal (0.75), which gives us 128 questions in total.

Explanation:

To determine the total number of questions on the test, we can use the given information that a student received a score of 75% by answering 96 questions correctly. The percentage score represents the fraction of the total number of questions that were answered correctly. So, if 96 questions were 75% of the total, we can find the total number of questions (T) using the following equation:

75% of T = 96
0.75 × T = 96
T = 96 / 0.75
T = 128

Therefore, there were 128 questions on the test.

The height of the triangle will be 14 cm.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

so we will plug numbers into the equation and solve ;

Area = 6(x) 1/2

42 = 6(x) 1/2

42 = 3(x)

Now, divide each side by 3

14 = x  

Therefore, the height of the triangle will be 14 cm.

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Points, rays and lines are all elements of a coordinate geometry. The text that completes, sentence A to D is as follows:

Figure E is a point, while figure F is a ray

I've added as an attachment, the complete question.

A. Two points

When there are two points (say points A and B), there can only be one line segment in these points. The line segment is AB or BA

B. Three points

A plane is formed by three points. So, for any three points (whether they are collinear or not), there is exactly one plane.

C. Points on the same line

When there are more than one points on a line, such points are said to be collinear.

D. Points on the same plane

When there are more than one points in a plane, such points are said to be coplanar.

E. & F

A point is represented with a dot; So, the figure in (E) is a point.

A ray has one endpoint and an arrow at the other end. So, AB is a ray.

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Indirect compensation is significant for retaining employees as it creates job security, motivates productivity, and reduces costs of recruitment and training. It also plays a role in managing modern workforce, which requires a more flexible and multi-faceted approach to retain.

Indirect compensation is important for recruiting and retaining employees in several ways. One of them is that it often works under an implicit contract, where the employer tries to maintain wages even when the economy or the business is not doing well, providing a form of protection for the employees. This implicit contract can make workers feel secure and motivated, hence improving productivity and reducing the likelihood of them leaving the firm.

Moreover, retaining employees from more modern generations can be more challenging since their expectations differ from those of previous generations; they tend to lack inherent company loyalty, hence, frequent rewards, praises, and feedback are essential. On the other hand, the efficiency wage theory argues that better pay results in higher productivity since the employees are motivated to work harder to maintain their current job because they realize that they could suffer a wage cut if they were to lose it.

Lastly, to avoid the costly and time-consuming endeavor of hiring and training new employees, employers often find it advantageous to pay a little more to the existing ones, a strategy that not only minimizes costs but also retains skilled and motivated employees.

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The formula for perimeter is:

P = 2 h +  2 w

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

Therefore l is:

l = (2/3) w = 24 cm

Hence the dimension should be 24cm by 36 cm

The only situation in which two angles are both congruent and complementary is when their measures are both 45°:

Two angles are complementary if their sum is 90°, and they are congruent if their measures are the same, say n. Therefore, to find two congruent angles which are complementary, we solve the following equation:

n+n=2n

2n = 90

2n/2 = 90/2

n=45

Two angles that are both congruent and complementary can be found in right angles.

Two angles that are both congruent and complementary can be found in the case of right angles. When two angles are right angles, they are both congruent (having the same measure) and complementary (adding up to 90 degrees).

The upper limit for the zeros of the given equation is x=32.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given an equation as [tex]2x^4 - 7x^3 + 4x^2 + 7x - 6 = 0[/tex]

Step 1: First we have to Factor the left side of the equation.

(x+1)(x−1)(x−2)(2x−3)=0

Then Set factors equal to 0.

x+1=0

x−1=0

or x−2=0

2x−3=0x=−1

x=1 or x=2 or x=32

Therefore, x =−1 or x=1 or x=2 or x=32

The upper limit for the zeros of the given equation is x=32.

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Answer:

The answer Is 1

Step-by-step explanation:

Got it right trust me

It took approximately 47 minutes for the patient's temperature to reach a record high of 105.8 degrees, calculated by subtracting the start time from the end time.

The subject question involves the calculation of time that elapses between two events - a start time of 9:54 a.m. and an end time of 10:41 a.m. To calculate this, we subtract the start time from the end time.

Begin by converting the times to a 24-hour clock, where 9:54 a.m. is 9.9 (as each minute represents a fraction of a full hour) and 10:41 a.m. is 10.68. Then, subtract 9.9 from 10.68 to get 0.78. This means that 0.78 hours has passed, which is equivalent to approximately 47 minutes when converted back into minutes (0.78 x 60).

So, it took approximately 47 minutes for the patient's temperature to reach the record high of 105.8 degrees.

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The number of lateral faces for a triangular pyramid is 3.

Given data:

Let the number of lateral faces for a triangular pyramid be A.

Now, A triangular pyramid has 3 lateral faces.

Each of these lateral faces is a triangle.

The base of the pyramid is not considered a lateral face.

It has one base face and three lateral faces.

All four faces are triangles.

It has four vertices or points.

It has six edges or line segments.

Hence, the number of lateral faces is 3.

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To find the three consecutive odd integers that satisfy the given conditions, we set up an equation x + 2(x + 2) + 3(x + 4) = 46, solved it to find x = 5, and then found the integers as 5, 7, and 9.

We are given a problem to find three consecutive odd integers where the sum of the first, two times the second, and three times the third equals 46. Let's label our integers as x (the first), x+2 (the second), and x+4 (the third), as the differences between odd integers are 2.

The equation, based on the problem statement, is:
x + 2(x + 2) + 3(x + 4) = 46

Distribute and combine like terms:
x + 2x + 4 + 3x + 12 = 46
6x + 16 = 46

Subtract 16 from both sides:
6x = 30
Divide both sides by 6:
x = 5

Therefore, the three consecutive odd integers are:
x = 5 (first integer),
x + 2 = 7 (second integer),
x + 4 = 9 (third integer).

Checking the solution: 5 + 2(7) + 3(9) = 5 + 14 + 27 = 46, which confirms our answer is correct.