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netineya [11]
2 years ago
14

A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)​

Mathematics
1 answer:
makkiz [27]2 years ago
7 0
I think the answer is (2x - 9)(x - 5)
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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
What would be the second step in solving the equation y−16=3y?
stiv31 [10]

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

3 0
2 years ago
Read 2 more answers
Which undefined term is needed to define an angle?<br><br> Plane<br> Point<br> Ray<br> Line
Aleks04 [339]

Point.

<h3>Further explanation</h3>
  • The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.  
  • We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.  

<u>Note:  </u>

This is one of the classic problems of Euclidean geometry.

Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane. These key terms cannot be mathematically defined using other known words.

  • A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
  • A line represents an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
  • A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.    
<h3>Learn more    </h3>
  1. What are three collinear points on a line? brainly.com/question/5795008  
  2. Undefined terms are implemented to define a ray brainly.com/question/1087090
  3. Definition of the line segment brainly.com/question/909890    

Keywords: the undefined term, is needed to define, an angle, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry

4 0
3 years ago
Read 2 more answers
What is the answer tom10t=90
vitfil [10]

9..divide both sides by 10 cross out the 10 over 10 leaves 9

7 0
2 years ago
Read 2 more answers
A GPA is usually an example of a a. b. mean bimodal distribution trimodal distribution weighted average C. d. 48
Bezzdna [24]

I find the following data for the concept GPA:

Your GPA is calculated in two steps:

The grade awarded for each course is multiplied by the credit value for each course.

The aggregate score is divided by the total number of credits for all courses completed in the defined period of study.

So, the weighted average reflects the relative contribution made by all the courses you have undertaken based on their credit value.

From the above data, the correct option for the answer is d. weighted average.

6 0
1 year ago
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