it's a cubic function
The given function f(x) = 2x³ – 4x² + 5 is a cubic function.
What is a cubic polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.
It is observed that the given function is a cubic function as its highest power of the variable is three.
Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.
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Find five numbers so that the mean, median, mode and range is 4.
Answer:
Let’s break this apart
Well we know the median has to be 4
Since it’s 5 numbers the middle number has to be 4 since its the median.
Let’s put in what we know.
a, b, 4, d, e
Constraints:
There has to be more then 1 “4”.
e-a = 4
So using that information lets solve since the possibility is almost endless
SO lets make e 5 and a 1.
1, b, 4, d, 5
There has to be more then 1 4 so lets put that as b.
We can solve for the last remaining digits.
1+ 4 + 4 + d + 5 / 5 = 4
14 + d /5 = 4
2.2 + d = 4
1.8 = d
So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.
1, 1.8, 4, 4, 5
Thats your 5 numbers right there.
Check:
Mode is 4: yes!
Range is 4: 5-1 = 4 yes!
Median is 4: yes!
Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!
Every thing checks out.
There could be a lot of possibilities.
For example take this wrong one
Lets make the same exact thing except change the a and the e.
THis is what we have,
a, b, 4, d, e
Lets make e and a as 6 and 2. 6-2 is still 4 so its possible.
2, b, 4, d, 6
And of course we need more then 1 4 so lets make d 4.
2, b, 4, 4, 6
Now solve for b in the mean.
2 + b + 4 + 4 + 6 / 5 = 4
16 +b /5 = 4
3.2 + b = 4
Solve
B = 0.8
This doesn’t work cause the median and the range has constraint here…
When doing a median, it has to be in ORDER.
2, 0.8, 4, 4 , 6 isn’t in order
ANd even when put in order.
0.8, 2, 4, 4, 6
THe range has the constraint here becuase 6 - 0.8 isn’t 4.
HELP ME OUT PLS!!!!!
Solve for x.
A) -30
B) -6
C) 6
D) 30
Step-by-step explanation:
-3x + 6 = 2x - 24
6 = 5x - 24
30 = 5x
x = 6
Adrian is 3 times as old as Anisah now. 4 years ago,Adrian was 28 years older than Anisah . How old will Anisah be in years' time?
Lets have Anisah be x right now.
4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.
Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)
x+24=3x-4
24=2x-4
28=2x
x=14
Right now Anisah is 14, and in 4 years he will be 14+4 = 18.
On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
113.04 ft
B.
226.08 ft
C.
4,069.44 ft
D.
16,277.76 ft
Answer:
[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]
Step-by-step explanation:
Given:
distance from center to the edge(Radius) of playground = 36 feet
To find:
Circumference of playground=?
Solution:
we know that,
Circumference of circle = 2πr
substituting the radius value in above formula,
[tex]2 \pi r = 2 \times 3.14 \times 36 = 226.08 \: ft[/tex]
[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]
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Answer: 226.08ft
Step-by-step explanation: we are finding the circumference of a circle so we will make 3.14 times 2 times 36 as it is a radius I think .
3.14 ×2×36=226.08 and the units is feet . Hope it helps buddy
in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?
Answer:
800ml
Step-by-step explanation:
solution A= 2% alcohol
solution B=7% alcohol
1200ml=1.2L
1200ml=1200cm^3
X= solution B
solution A + solution B=(1200+x)cm^3
% alcohol= amount of alcohol/total solution(AorB)×100
☆in 1200ml of solution A there's
0.02x1200
2x12
=24ml of alcohol (in 1200ml of solution A)
0.07x X
=0.07Xml of alcohol (in some ml of solution B)
(24+0.07X)ml of alcohol in = solution A and solution B
solution A + solution B= 1200+X
0.04 (1200+X)=24+0.07X
48+0.04X=24+0.07X
48-24=0.07X-0.04X
24=0.03X
X=800ml
a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months
Answer:
y = 1x + 7
Step-by-step explanation:
Let's take 2 points, with x being the month and y being the weight as the month is listed first in the graph.
(0, 7) = the 1st point
(1, 8) = the 2nd point
In y=mx+b, m is the slope.
Slope = change in y / change in x = (y₂-y₁) /(x₂-x₁) = (y₁-y₂) / (x₁-x₂) = (8-7)/(1-0) = 1 / 1 = 1 = (7-8)/(0-1) = -1/-1 = 1
Our equation is thus
y = mx + b = y = (1) x + b
Plug one point, such as (1, 8) into this equation to obtain b
8 = (1) (1) + b
8 = 1 + b
subtract 1 from both sides to isolate b
7 = b
our equation is thus
y = (1) x + 7 = 1x + 7
Answer:
w = 1m + 7
Step-by-step explanation:
w = weight
m = months
If we look at the chart, as every month goes by, the baby gains another pound.
Hence, the best way to find the weight is to just add 7 to the months, since in the beginning (at 0 months) the weighs 7 pounds, so if it’s 1 month, the baby would just way 1 more pound.
This is why the formula: w = 1m + 7 works
Because 1 times the value of any month will be the same value, and all you have to do is add 7.
Example:
(x = multiply in this equation)
At 2 months: w = 1 x 2 + 7
Solve:
1 x 2 = 2
2 + 7 = 9
As you can see, all you have to do is fill in the month # in the formula, and you will get your w (weight).
Hope this helps :)
Find the area of the parallelogram.
3 cm
5 cm
Answer:
Area = Base ×Height
Step-by-step explanation:
Area = Base × Height
Area = 3cm × 5cm
Area = 15cm
Area of the parrallelogram is 15cm
3/5 of Tom's favorite number is 60. what is tom's favorite number
Answer:
100
Step-by-step explanation:
its saying 60% of his favorite number is 60
because the numbers are the same that means the number must be 100
Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. He purchases two different brands of tarps from a local store. Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Leo concludes brand A is more effective in growing strawberry bushes. Is Leo's conclusion valid? please explain how and why so I can understand
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
What is bias?Bias is an error due to sampling or testing by selecting or preferring one outcome over others.
Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
Find out more on bias at: https://brainly.com/question/24491228
Answer:
His conclusion is not valid.
He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.
Step-by-step explanation:
ik it's a bit Blurry but Can someone help me Please best answer will be brainliest<33
Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350350350 recent visits. Here are the results: Feeder \#1#1\#, 1 \#2#2\#, 2 \#3#3\#, 3 \#4#4\#, 4 Observed visits 808080 909090 929292 888888 Ciara wants to perform a \chi^2χ 2 \chi, squared goodness-of-fit test to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the expected count of visits to the third feeder? You may round your answer to the nearest hundredth.
The expected count of visits is the mean or average visits to each feeder
The expected count of visits to the third feeder is 87.5
How to determine the expected count of visit?The table of values is given as:
Feeder 1 2 3 4
Observed visits 80 90 92 88
In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed
So, the expected count is calculated using:
Expected count =Visits/Feeders
This gives
Expected count = 350/4
Evaluate the quotient
Expected count = 87.50
Hence, the expected count of visits to the third feeder is 87.5
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The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.
(4a^2/3 b^1/2)(2a^1/3 b^3/2)
Answer:
8ab^2
Step-by-step explanation:
(4a^2/3 x 2a^1/3)(b^1/2 x b^3/2)
8a^(2/3+1/3) x b^(1/2+3/2) = 8a^1 x b^2
Find the domain & range of the relation
{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}
Answer:
Domain: -5,6,2,1,-3
Range: 13,18,-7,4,-1
Step-by-step explanation:
Domain is the independent value/ x / input
Range is the dependent value/ y / output
Assume you have two six-sided dice - both numbered 1 to 6 - and add the total of the dice after each roll. Leave all answers as a fraction a/b. What is the probability of rolling a 4
1. y= x+ 12 Y= -18
2. y = x — 10 y=-12
Answer:
1) x=-30 2) x=-2
Step-by-step explanation:
1) y=x+12.
Y= -18
x+12=-18
x=-18-12
x=-30
2) y=x-10
y= -12
x-10=-12
x=-12+10
x=-2
Describe and correct the error in using the percent proportion to answer the question below
“6 is 6.25% of what number”
Using proportions, it is found that the error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that 100% = 1 of the number is w, while 6 is equals to 6.25% = 0.0625. Hence the rule of three is given by:
1 - w
0.0625 - 6
Applying cross multiplication:
0.0625w = 6.
w = 6/0.0625
w = 96.
The error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.
More can be learned about proportions at https://brainly.com/question/24372153
College algebra chapter 3
Equation given: [tex]S = 16t^2[/tex]
S: distance fallen --> 1279 ftt: time taken for the distance fallenSolve:
[tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]
Thus it took 8 seconds for the thing to fall from the top
Hope that helps!
Calculate the determinant of this matrix:
What is the first step?
Step 1: Augment the matrix by copying columns 1 and 2 to the right of the matrix
Step 2: Find the products along the main diagonals
d1= 4
d2= 0
d3= 3
Step 3: Find the products of the minor diagonals
e1= 0
e2= 16
e3= 2
Step 4; Perform the final calculation
d1+d2+d3-e1-e2-e3= -11
(Got them all right on edge 2022)
Why did you ask this, but also answer it?- Lol thank you for the points though I guess...
Answer:
thank you they are all correct!
Step-by-step explanation:
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the refurbished computer?
answer choices:
98 hours
89 hours
111 hours
Total earnimgs per hour=10$
After deduction
Percentage=7.65+8+12=27.65%Total earnings
10-27.65%×1010-0.2765(10)10-2.7657.335$Total hours:-
640/7.33587.25Approximately 89 hours
8. Rita looks at the floor plan of a room that was drawn with scale factor 1 inch equals 4 feet. She multiplied the perimeter of the drawing by four and ordered that many feet of molding. She multiplied the area of the drawing by four and ordered that many square feet of carpeting. When the orders arrived, Rita had enough molding, but the carpet covered only of the room. Explain the error.
can anyone pls answer dis math problem
Answer:
the answer would be 3x^2 + 29x + 6/15x(x+2)
I need help with this
Answer:
104
Step-by-step explanation:
8x3=24 then you carry over the 2 and 8x1=8 and 8+2=10 so the awnser is 104
PLEASE HELP I WILL GIVE BRAINLIEST
180-135=45
Step-by-step explanation:
the angles should total 360.
the opposite angle R is 135 and is equal to P
S is equal to Q so that can help
a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize
Answer:
£120
Step-by-step explanation:
96 divided by 4=£24
1=£24
24+96=120
If the diameter of a circle is 10 inches, what is the area of a circle?
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
because area is pi r^2
Answer:
78.54 or 25π (if in terms of pi)
Step-by-step explanation:
A = πr² = π*5² ≈ 78.53982
Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people
Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
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How do you convert 3 1/3 yards to inches? Use the drop-down menus to explain your answer.
Since, there are 36 inches in 1 yard, multiply 3 1/3 by 36
So, 3 1/3 yards = 120 inches
Answer:
120 inches
Step-by-step explanation:
To convert 3 1/3 yards to inches, you first need to figure out how many inches are in one yard. 1 yard=36 inches.
After this, you would turn your mixed fraction into an improper fraction and then multiply by 36 inches. It would look like this:
10/3 * 36/1
Here, you would cancel out the common factors by factoring 36 by 3.
12*3=36 ----> 10/3 * [tex]\frac{3(12)}{1}[/tex] ----->
Lastly, multiply 10 by 12 and your answer would be 120 inches.
How many cubes with the side lengths of 1/2 cm does it take to fill the prism? 1 x 2 x 3/2 as the measurements.
Answer:
24
Step-by-step explanation:
Volume to fill = 1 x 2 x 3/2 = 3 cm^3
Volume of cube to fill this volume 1/2 * 1/2 * 1/2 = 1/8 cm^3
3/ (1/8) = 24
B
45°
71°
E
27°
A
D
11. What is mBAC
Answer:THE ANSWER IS B MY GUY
Step-by-step explanation: