Answers
OPTION D
[tex]\bold{SOLUTION:}[/tex]
Answer:
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
41 − 18 = 23
67 − 41 = 26
82 − 67 = 15
69 − 82 = −13
17 − 69 = −52
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
26 − 23 = 3
15 − 26 = −11
−13 − 15 = −28
−52 − (−13) = −39
Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.
Third Differences
−11 − 3 = −14
−28 − (−11) = −17
−39 − (−28) = −11
The third differences are approximately the same so we will use a cubic function to represent the data.
Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
Related Questions
Find each angle or arc measure.
Answers
Since opposite angles of a cyclic quadrilateral are supplementary,
A= 180-101=79°
B= 180-68=112°
Evaluate cos-1(0.4283). Round to 1 decimal place.
Answers
Answer
0.4283
Step-by-step explanation:
Multiply
0.4283
by
1
.
Add 7 and 14. Subtract 1.5 from the sum.
16 4
Add 7 and 14 and then multiply the result by 4.
5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.
1.7 x 2
Multiply the difference of 1½ and 3 by 2.
(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.
(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.
Add 7 and 14. Subtract 1.5 from the sum.
16 4
Add 7 and 14 and then multiply the result by 4.
5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.
1.7 x 2
Multiply the difference of 1½ and 3 by 2.
(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.
(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.
Answers
help please and show work<3!
Answers
The figure shown in the question is a rectangle because it has four sides and two opposite sides are parallel.
What is the rectangle?A rectangle is a quadrilateral having four sides the two opposite sides of the rectangle are equal and parallel. and the two sides are always at perpendicular to each other.
here in the figure we have four sides and two opposite sides are equal
and also parallel to each other so the given figure is the triangle.
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What is the measure of angle BCD?
98
110
82
70
Answers
Answer:
82
Step-by-step explanation:
opposite angles in a cyclic quadrilateral are supplimentary
how many inches are in 12 1/2 feet
Answers
Answer:
The answer is 150 inches
Step-by-step explanation:
Multiply the length value by 12
Answer:
150 inches
Step-by-step explanation:
12.5 x 12 = 150 inches
Write 60/105 in its simplest form.
Answers
Answer:ok
Step-by-step explanation:4/7
Help please I’ll give 75 brainly credits
Answers
Answer:
213 inches^2
Step-by-step explanation:
the ^2 is the exponent
Surface Area = 2×(6×9 + 6×3.5 + 9×3.5)
Please mark brainliest
Answer:
So we are given the length, width, and height and we are also told that we need to find the surface area. The formula to finding the surface area of a rectangular prism is [tex]S=2(w*h+l*w+l*h)[/tex]
We just plug in the values and solve
[tex]S = 2(9\ in * 3.5\ in+6\ in * 9\ in + 6\ in * 3.5\ in)[/tex]
[tex]S = 2(31.5\ in^2 + 54\ in^2+21\ in^2)[/tex]
[tex]S = 2(106.5\ in^2)[/tex]
[tex]S = 213\ in^2[/tex]
Hope this helps! Let me know if you have any questions
The density of an unknown piece of metal is 20g/mL, if the mass of the metal is 40g, what is the volume of the unknown metal?
Answers
Answer:
Density = mass / volume
thus, volume = mass / density
volume = 40 / 20 = 20 mL
if Jonny had had 5 apple's and mom toke 1 how many does jonny hve
Answers
Answer:
4
Step-by-step explanation:
4 because jonny mom took 1
A circle has a radius of 5 cm. What is its circumference?
Use 3.14 for 7, and do not round your answer. Be sure to include the correct unit in your answer.
cm
5 cm
Answers
Answer:
C=31.4
Step-by-step explanation:
Formula: C=2πr
Insert radius: C=2×π×5
Multiply: C=10*π
Insert Pi: C=10*3.14
Multiply Again: C=31.4
CalculatorAC
2 two angles are supplementary. The
measure of one angle is 9 times the
measure of the other angle. What is the measure of the smaller angle
Answers
Answer:
18 degrees heres youre answer!
Step-by-step explanation:
If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.
what is 2^2 simplified
Answers
[tex]\Large\textsc{Answer\::}[/tex]
4
[tex]\Large\textsc{Calculations :}[/tex]
2² simplified means 2 times 2 (2 times itself) so
2² = 4
2×2=4
2²=4
Now , it doesn't make any difference with a number like 2 .
Suppose we had 3 :
3² = 9
3² is not the same as 3 ×2 , and here's the reason for that :
3²=3×3=9
3 × 2 = 6
[tex]\footnotesize\textsf{hope helpful ~}[/tex]
.
Car = v-8 sedan
year driven = third
miles driven = 10,000
the depreciation for this vehicle using method 2 will be $
Answers
Depreciation is the reduction in the value of an asset over time, due in particular to wear and tear.
What is depreciation?
Your information is incomplete. Therefore, an overview will be given. depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life.
To calculate depreciation, subtract the asset's salvage value from its cost. The result is the depreciable basis or the amount that can be depreciated. Divide this amount by the number of years in the asset's useful lifespan.
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Find the measures of the missing angles. The triangle is not drawn to scale.
108°
A =
B=31
Answers
Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.
X^5/6 / x^1/6 radical form
Answers
Answer:
x ^ 4
Step-by-step explanation:
X x 5/6 / X x 1 / 6 = 5/6 - 1/6 = 4
then it = X^4
The mathematics faculty at a college consists of 7professors, 9 associate professors, 9 assistant professors, and 9 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answers
=============================================================
Explanation:
There are 7 professors and 9 instructors (first and last items mentioned).
So there are 7+9 = 16 people who are either a professor or an instructor, but not both. I'm assuming the job titles do not overlap, ie no one person has more than one title. The events "professor" and "instructor" are mutually exclusive. I'm leaving out the associate professors and assisant professors.
In total, there are 7+9+9+9 = 34 faculty members.
--------------
We found there are 16 faculty members who are either a professor or an instructor, out of 34 total members.
This must mean the probability we want is 16/34 = 8/17
Side note: 8/17 = 0.4706 = 47.06% approximately
What substitution should be used to rewrite 6(x 5)2 5(x 5) – 4 = 0 as a quadratic equation? u = (x 5) u = (x – 5) u = (x 5)2 u = (x – 5)2
Answers
The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
Quadratic equationsThese are equations that has a leading degree of 2. Given the expression
6(x+5)^2 + 5(x+5) - 4 = 0
In order to simplify this equation, we will replace the reoccuring term by a variable.
From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:
6u^2 - 5u - 4 = 0
Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
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What is the amplitude of the function graphed below?
Answers
Answer:
2 For the most part this is all I have at the moment hope this helps
Step-by-step explanation:
Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.
Answers
Answer:
30/40
Step-by-step explanation:
like what the other guy said
The correct answer is 46.67%
What is profit percentage?It is the amount of profit that has been incurred in terms of percentage.
How to solve this problem?The problem can be solved by following steps
So, According to the question
The cost price of the wardrobe given is £30
The Selling price of the wardrobe given is £44.
We need to find profit percentage
We have to use formula.
Profit percentage = [tex]\frac{ Selling price - cost price}{costprice}[/tex] × 100
=[tex]\frac{ 44 - 30}{30}[/tex] x100
= [tex]\frac{14}{30}[/tex] x 100
= 14.67%
Hence, Jim's got profit percentage is 46.67%.
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= 46.6667% ≈ 47%
Can someone please help
Answers
Answer:
7.62
Step-by-step explanation:
3 x 3 = 9, 7 x 7 = 49, 49 + 7 = 58. Square root of 58 = 7.62
Answer:
hypotenuse ≈ 7.6 units
Step-by-step explanation:
calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (2, 4) ← endpoints of hypotenuse
d = [tex]\sqrt{(2-(-1))^2+(4-(-3))^2}[/tex]
= [tex]\sqrt{(2+1)^2+(4+3)^2}[/tex]
= [tex]\sqrt{3^2+7^2}[/tex]
= [tex]\sqrt{9+49}[/tex]
= [tex]\sqrt{58}[/tex]
≈ 7.6 ( to the nearest tenth )
Can someone help me urgent.
Answers
Answer:
x = 20
Step-by-step explanation:
Angle x and the 90 degree angle and 70 form a straight line so they add to 180
x+90+70 = 180
Combine like terms
x + 160 = 180
x = 180-160
x = 20
divide out the following
-2x^2-3/x^2-2x
Answers
Step-by-step explanation:
= -2 + ( -4X-3/x²-2x)
= -2+ -4x-3/x²-2x
can someone help me with this problem?
Thank you!
Answers
Answer:
174 Sq feet
Step-by-step explanation:
30+90+54 just add.
Answer:
174 sq ft
Step-by-step explanation:
Formula:
A = Lw
Note:
A rectangle has 3 set of different side.
Solve:
A = Lw
A = 5 × 9
A = 45 × 2
A = 90
A = Lw
A = 5 × 3
A = 15× 2
A = 30
A = Lw
A = 3 × 9
A = 27× 2
A = 54
90 + 30 + 54 = 174 sq ft
Kavinsky
An observer 160 meters away sees a rocket launch into the
air. The rocket reaches its maximum height when the ob-
server is looking at an angle of 75° relative to the ground.
What is the approximate maximum height of the rocket's
path, in meters?
Answers
Not Answer:
8
Step-by-step Non-explanation:
The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4. So the rocket will reach its maximum height after 4 seconds.
The approximate maximum height of the rocket's path is 597.13 meters.
How to elaborate the problem ?
Observer sees the rocket 160 meter away from the place where rocket launched.
75° is the angle between observer and rocket, when the rocket reaches its maximum height.
Here, if we assume a triangle whose base = distance between rocket launch point and the observer.
Height = Maximum height of the rocket
How to calculate the maximum height of the rocket ?Here, Base = 160 meter & let, maximum height = h
tan 75° = [tex]\frac{height}{base}[/tex]
⇒ tan 75° = [tex]\frac{h}{160}[/tex]
⇒ h = 160 tan 75°
⇒ h = 597.13 (approx)
The maximum height of the rocket is 597.13 meters (approx).
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please help, much appreciated!!!!(✿◠‿◠)
Answers
Step-by-step explanation:
5 people.
how many ways can they line up in general ?
5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :
5×4×3×2×1 = 5! = 120 ways.
but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.
and none of the boys should ever be at one of the ends.
so, we actually have only
2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.
in total
2×1×3×2×1 = 12
under these constrictions they have actually only 12 different ways to line up.
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a professor is examining a new strain of bacteria. the amount of bacteria can be modeled by function s(n) = 20 · bn, where n is the number of hours and b is an unknown positive base. based on the model, there were initially bacteria. if b = 1.85, the hourly percent growth rate of the bacteria would be %.
Answers
The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.
How to determine the hourly percent growth rate?The value of b is given as:
b = 1.85%
Let the hourly percent growth rate of the bacteria be r.
So, we have:
b = 1 + r
Substitute b = 1.85%
1.85 = 1 + r
Subtract 1 from both sides
r = 0.85
Express as percentage
r = 85%
Hence, the hourly percent growth rate of the bacteria would be 85%.
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Answer:
20 and 85%
Step-by-step explanation:
Construct the linear equation for the table.
Answers
Answer:
Step-by-step explanation:
1. Find the slope: -1
2. Y = -x +b
3. Plug in a point
4. B is 1
5. The equation is Y=-1x+1
You are the manager of a monopolistically competitive firm, and your demand and cost functions are given by q = 36 – 4p and c(q) = 4 4q q2
Answers
The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be:
[tex]\rm P=9-0.25Q[/tex]
What is the inverse demand function?The inverse demand function is the function that represents price as the function of quantity demanded. The graph of inverse demand puts a price on the y axis and the quantity demanded on the x-axis.
a. The inverse demand function of the firm will be calculated as follows:
The demand function is:
[tex]\rm Q=36-4P[/tex]
The inverse demand function is the demand function in terms of price. Therefore inverse demand function will be:
[tex]\rm Q=36-4P\\\\4P=36+Q\\\\P=\dfrac{36}{4}+\dfrac{Q}{4}\\\\P=9+\dfrac{Q}{4}\\[/tex]
[tex]\rm P=9-0.25Q[/tex]
Hence, The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be [tex]\rm P=9-0.25Q[/tex].
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Each dot on the dot plot shows the number of people in a 12-person random sample who are shorter than 5 feet tall.
A dot plot with 2 dots above 1; 4 dots above 2; 4 dots above 3; 3 dots above 4; 1 dot above 5; and 1 dot above 10.
How many samples does the dot plot represent?
Enter your answer as a number, like this: 42
Answers
Answer:
15
Step-by-step explanation:
sucks to suck
