y=20[tex]2.7^{x}[/tex] is the equation models that describes the growth rate of metal whose initial quantity is 20 units.
What is exponential functions?It is inverse of the logarithmic functions.
How to form exponential function?We have been given the initial quantity of metal which is 20 units
and it is growing exponentially at a rate of 17% for time x
So the required equation will be y=20 *e to the power x*17%
value of e is 2.718. so the equation becomes y=20(2.7)to power x
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Which of the following lines bets fits the data shown in the scatter plot?
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
f(x)= x g(x)=x+1 graph f/g
Answer:
Step-by-step explanation:
x
(f/g)(x) = -----------
x + 1
Notice that x cannot be -1, which would lead to division by zero. Thus, x = -1 is the vertical asymptote. Also notice that if x grows increasingly large, the fraction shown tends towards x/x, or 1, so we know that the horizontal asymptote is y = 1.
Draw a set of x-y axes and graph y = 1 and x = -1. Plot (0, 0). Again, note that the graph of this function never touches/crosses x = -1. So, for (-1, 0) the graph is a curve caught between x = -1 and x = 0 that increases as x increases. For (0, infinity), the graph heads upward at a slow pace and then levels off nearly parallel to y = 1 (the horizontal asymptote).
As x increases from left to right, y starts out slightly greater than y = 1 and then (while still in Quadrant II) curves upward and approaches the vertical asymptote x = -1.
can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer,
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A P # X
Jada lives 1 3/10 miles from school. Lin lives 1/4 mile closer to school than Jada. How far does Lin live from school? Type in the number of your answer AND type a sentence that explains how you found it.
Answer:
Lin lives 1 1/20 miles away from school
Step-by-step explanation:
1 3/10 becomes 1 6/20
1/4 becomes 5/20
1 6/20 - 5/20
= 1 1/20
Find the slope of a line parallel to this given line: -10y + 3= -6x
Answer:
Y=3/5 x +3/10
Step-by-step explanation:
Is r = 9 a solution to the inequality below?
72r
yes
no
Submit
Explain how to solve problems like this please
Answer:
No.
Step-by-step explanation:
For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.
what's your answer??>????????????????????????
Answer and Step-by-step explanation:
The answer is parallelograms.
This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.
#teamtrees #PAW (Plant And Water)
Answer:
parallelogramsStep-by-step explanation:
As,
In the picture there is a parallelogram, rhombus, rectangle and a square.
We know,
Properties of parallelogram:-
Opposite sides are equal and parallel Diagonals bisect each other.Sum of any two adjacent angles is 180°All the above conditions are also same In a rhombus, rectangle and a square.
Hence,
Parallelogram best describes all the above shapes
ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
PLEASE HELP WITH ONE I NEED THE WORK FOR IT!! 20 POINTS AND BRAINLIEST
Answer:
too blurry
Step-by-step explanation:
Answer:
1. Missing length-8.48528137424
2. Missing length- 13.9283882772
3. Missing length-17.3205080757
4. Missing length- 14.7986485869
A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p
==================================================
Explanation:
Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.
We're given n = 12, and we need to find p.
The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92
So the equation to solve is 12p*(1-p) = 1.92
Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8
Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.
(Robert LaClerq is paid a regular wage of $9.50 an hour, overtime at the rate of 1 times the regular rate for all hours worked over 8 in any weekday, and overtime at the rate of 2 times the regular rate for hours worked on Saturdays, Sundays, and holidays. During the week ended February 14, LaClerq worked the following days and hours. Calculate the regular hours worked and the overtime hours worked. Then answer the questions that follow.)
Answer:
Day Total hours worked regular hours Overtime hours
Monday 7 7 0
Tuesday 10 8 2
Wednesday 8 8 0
Thursday 10 8 2
Friday 11 8 3
Saturday 2 2 0
Step-by-step explanation:
The remaining part of the question is attached
Solution
A person can work maximum of 8 hours in a day
Overtime paid during week day = 1.5 times of $ 9.50 = $14.25
Overtime paid during weekend = 2 times of $ 9.50 = $19
Day Total hours worked regular hours Overtime hours
Monday 7 7 0
Tuesday 10 8 2
Wednesday 8 8 0
Thursday 10 8 2
Friday 11 8 3
Saturday 2 2 0
1. The regular hours that Robert LaClerq worked is 41 hours (39 for weekdays and 2 for weekend), while the overtime hours is 7 hours.
2. The calculation of Robert's regular pay is $370.50 (39 x $9.50).
3. The calculation of Robert's overtime pay during weekdays = $66.50 (7 x $9.50).
4. The calculation of Robert's overtime pay on weekends = $38.00 (2 x $19.00).
What is Overtime Pay?Overtime pay is the wage payment to an earner for working above the normal (regular) working hours.
Data and Calculations:Wages per hour for regular hours = $9.50
Overtime pay during weekdays = $9.50 per hour
Overtime pay during weekends = $19 per hour ($9.50 x 2)
Day Total hours Regular Overtime
worked hours hours
Monday 7 7 0 (7 - 7)
Tuesday 10 8 2 (10 - 8)
Wednesday 8 8 0 (8 - 8)
Thursday 10 8 2 (10 - 8)
Friday 11 8 3 (11 - 8)
Saturday 2 2 0 (2 - 2)
Total hours 48 41 7
Thus, Robert's total earnings for the week is $475 ($370.50 + $66.50 + $38.00).
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
m
4yd
14 yd
17 yd
To Find :
The area of triangle whose side are 4 yard, 14 yard and 17 yard.
Solution :
We will use Heron's formula to find area of the triangle.
So,
[tex]s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5[/tex]
Now, heron's formula is :
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Putting all given values in above equation :
[tex]A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2[/tex]
Hence, this is the required solution.
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?
Answer:
no because it has a different starting and ending point
Step-by-step explanation:
hope it helps!
Find the volume of the prism
Answers:
1.) 1/9 m cubed
Explanation: The formula is l x w x h. So 1/3 x 1/2 x 2/3.
2.) 15/16 ft cubed
Explanation: 5/4 x 3/2 x 1/2.
Hope it helps :)
what kind of triangle is shown
Answer:
right isosceles triangle.
Answer:
right scalene
Step-by-step explanation:
right angle - if one angle is 90 degree
scalene triangle- if all sides are of different lengths
what is the factor of x^2 + 2x - 3
Answer:
(x + 3)(x - 1)
Step-by-step explanation:
Given
x² + 2x - 3
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) ← in factored form
What is the factor of x² + 2x - 3
Solution:-x² + 2x - 3[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0
[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0
[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0
[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1
So, x = -3 and 1
The factor of x² + 2x - 3 is -3 and 1. [Answer]Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
What is the area of the rectangle above?
A. 24 square units
B. 22 square units
C. 11 square units
D. 32 square units
Answer:
The answer is
a. 24 square units
The terminal side of θ in standard position contains the point (–4, 3). Find the exact values of the six trigonometric functions of θ. (show all of your work) *
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.
Answer:
110.75 = 16 + 10.5h
Step-by-step explanation:
in which sentence is the literary device litotes used?
The correct sentence is "He commented that her house was no palace".
What is litotes?“Litotes is a figure of speech and a form of understatement in which a sentiment is expressed ironically by negating its contrary.”
A litote is an statement that expresses the affirmative by saying the negative of the contrary.
The other statements are all statements, they do not give any indication of a deeper level of meaning.
Another example of a litote is: That wasn't the messiest house I've ever seen. In this statement, the house is being described as messy by saying that it is not.
The correct sentence is "He commented that her house was no palace".
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Someone plz help me giving brainliest
Answer:
B. 5 2/5
Step-by-step explanation:
Use the long division solution to convert the original fraction ( 27/ 5 ) to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction ( 5 ) , and the fraction portion of the mixed number will be the remainder of the original fraction division ( 2 ) over the denominator of the original fraction ( 5 )
To the nearest tenth, find the area of a circle with diameter of 6m. Use 3.14
Answer: 28.3 squared
Step-6 divided by 2= 3 then 3x3=9 then 9x3.14=28.26 then round 28.3
The measurement of angle D is _____ degrees
Answer:
157
Step-by-step explanation:
An arrow is shot so that it hits the target above. Which of the following describes the method for calculating the
probability of hitting the red region?
A area of white circle / (area of blue circle - area of yellow circle)
B. (area of blue circle - area of yellow circle) / area of white circle
C area of white circle / (area of red circle - area of yellow circle)
D. (area of red circle - area of yellow circle) / area of white circle
Answer:It is c i think
Step-by-step explanation:
There are 10 2/15 kg of watermelons and coconuts on a truck. The weight of the watermelons is 3 3/5 times that of the coconuts. How heavy are the coconuts on the truck, in kg?
Answer:
2 7/76 kg
Step-by-step explanation:
Let the weight of
Watermelons = x
Coconut = y
There are 10 2/15 kg of watermelons and coconuts on a truck.
x + y = 10 2/15
x = 10 2/15 - y
x = 152/15 - y.... Equation 1
The weight of the watermelons is 3 3/5 times that of the coconuts.
x = 3 3/5 × y
x = 18/5 × y
x = 18y/5
How heavy are the coconuts on the truck, in kg?
Find y
We substitute 18y/5 for x in Equation 1
x = 152/15 - y
18y/5 = 152/15 - y
18y /5 + y = 152/15
Multiply through by 15
18y/5 × 15 + y × 15 = 152/15 × 15
3 × 18y + 15y = 152
54y + 15y = 152
69y = 152
y = 152/69
y = 2 14/152
y = 2 7/76 kg
Therefore, the weight of the coconuts are 2 7/76 kg
Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm
Answer:
the surface of hexagonal prism is 12 cm