Answer:
a)
A(0.1)^4 + B(0.1)^3 + C(0.1)^2 + D(0.1) + E = 82.9619 ----------1
A(0.2)^4 + B(0.2)^3 + C(0.2)^2 + D(0.2) + E = 38.7504 -------2
A(0.7)^4 + B(0.7)^3 + C(0.7)^2 + D(0.7) + E = 1.7819 ----------3
A(0.8)^4 + B(0.8)^3 + C(0.8)^2 + D(0.8) + E = 1.9824 ----------4
A(0.9)^4 + B(0.9)^3 + C(0.9)^2 + D(0.9) + E = 0.7859 ----------5
b) y = 519x^4 - 1630x^3 + 1844x^2 - 889x + 155
c) 0.1875
Step-by-step explanation:
a)
Let y = Ax^4 + Bx^3 + Cx^2 + Dx + E
Setting up the problem as a system of linear equations
when x=(10%)=0.1, y = 82.9619
therefore
A(0.1)^4 + B(0.1)^3 + C(0.1)^2 + D(0.1) + E = 82.9619 ----------1
when x=(20%)=0.2, y = 38.7504
A(0.2)^4 + B(0.2)^3 + C(0.2)^2 + D(0.2) + E = 38.7504 -------2
when x=(70%)=0.7, y = 1.7819
A(0.7)^4 + B(0.7)^3 + C(0.7)^2 + D(0.7) + E = 1.7819 ----------3
when x=(80%)=0.8, y = 1.9824
A(0.8)^4 + B(0.8)^3 + C(0.8)^2 + D(0.8) + E = 1.9824 ----------4
when x=(90%)=0.9, y = 0.7859
A(0.9)^4 + B(0.9)^3 + C(0.9)^2 + D(0.9) + E = 0.7859 ----------5
b)
Find the quartic polynomial that goes through these data points
Now to find the values ( A,B,C,D,E)
[MATRIX]
║A║ ║ (0.1)^4 (0.1)^3 (0.1)^2 (0.1) 1 ║^-1 ║ 82.9619 ║
║B║ ║ (0.2)^4 (0.2)^3 (0.2)^2 (0.2) 1 ║ ║ 38.7504 ║
║C║ = ║ (0.7)^4 (0.7)^3 (0.7)^2 (0.7) 1 ║ ║ 1.7819 ║
║D║ ║ (0.8)^4 (0.8)^3 (0.8)^2 (0.8) 1 ║ ║ 1.9824 ║
║E║ ║ (0.9)^4 (0.9)^3 (0.9)^2 (0.9) 1 ║ ║ 0.7859 ║
║A║ ║ 29.7619 -47.619 166.667 -238.095 89.2857 ║ ║ 82.9619║
║B║ ║ -77.381 119.048 -333.333 452.381 -160.714 ║ ║ 38.7504║
║C║ = ║ 71.131 -102.381 208.333 -269.048 91.9643 ║ ║ 1.7819 ║
║D║ ║ -26.369 33.0952 -41.6667 52.619 -17.6786 ║ ║ 1.9824 ║
║E║ ║ 3.00 -2.4 -2.4 -3.00 -1.00 ║ ║ 0.7859 ║
║A║ ║ 519 ║
║B║ ║ -1630║
║C║ = ║ 1844 ║ , y = 519x^4 - 1630x^3 + 1844x^2 - 889x + 155
║D║ ║ -889 ║
║E║ ║ 155 ║
c)
approximate the density 50% of the way out of the sun
so at 50% (0.5) x=0.5
we substitute
y = 519(0.5)^4 - 1630(0.5)^3 + 1844(0.5)^2 - 889(0.5) + 155
= 0.1875
I need help on this assignment ASAP.
Here's the graphing if you need it for proof or etc. & a lil correction!
Are the two triangles below similar?
PLEASE HELP ME!!!!!!!!!!
Answer:
im going with number 3 sorry if im wrong
Step-by-step explanation:
Answer:
Yes; they have congruent corresponding angles.
Step-by-step explanation:
The two triangles are similar because their angles measure are the same. This is because 70 + 28 + 92 = 180 degrees and all Euclidean triangles angles measures must have a sum of exactly 180 degrees.
Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?
Answer:13.52
Step-by-step explanation:2,81+3.67=20-6.48=13.52
Use the distributive property to write an equivalent variable expression. -5(5q - 4)
Find 60 percent of 199?
Answer: 79.60%, difference is 119.40
Step-by-step explanation:
Answer:
119.4
Step-by-step explanation:
199/100=1.99
1.99*60=119.4
9|9-8x|=2x+3 solve the equation
Answer:
the answer is this because x=39/37,6/5
Which angle pairs in the diagram are supplementary angles? Check all that apply.
∠3 and ∠6
∠1 and ∠4
∠5 and ∠6
∠4 and ∠5
∠6 and ∠7
Answer:
1 and 4
4 and 5
6 and 7
Answer:
∠1 and ∠4
∠4 and ∠5
∠6 and ∠7
Step-by-step explanation:
took the edge quiz
MATH
Please heeeeeeeeeeeeeeelp
Please help I can’t afford to fail this class :(
Please please help fast
Answer:
no I'm pretty sure. hope it helps
Answer: No
Step-by-step explanation:
First convert 10 feet to yards and also 20 inches to yards.
10 feet to yards is 3.3 and 20 inches to yards is 0.55
Now add them to see if they equal to 4 or greater than.
0.55 + 3.33= 3.88
3.88 is less than 4 so Anis will not be able to make a fence
The mean of data set A ls 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.
1. Which data set shows greater variability? Explain your reasoning
Answer:
Data Set B
Step-by-step explanation:
Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set
It can also be defined as the deviation of the mean from the data points or values given in a data set.
From the above question, we are told that:
The mean of data set A ls 43.5 and the MAD is 3.7.
The mean of data set B is 12.8 and the MAD is 4.1.
Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.
Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.
Answer:
b
Step-by-step explanation:
regi received a 3.5 raise which raised his yearly income by $910. what is his new income?
Answer:
His new income is $26,910.
Step-by-step explanation:
As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:
910 / 3.5 = 1% salary
260 = 1% salary
260 x 100 = previous salary
26,000 = previous salary
26,000 + 910 = current salary
26,910 = current salary
Therefore, his new income is $26,910.
Jeremy spends $4.00 for breakfast and then spends $4.00 for lunch
Answer:
He spends 8 dollars
Step-by-step explanation:
4 + 4 = 8
Hopefully this helps you :)
pls mark brainlest ;)
Which table of ordered pairs represents a proportional relationship?
Answer:
2nd one
For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81
i’m stuck on this question
Answer:
See below
Step-by-step explanation:
So you are moving the decimal to the right, right?
This action would make the number bigger.
For this explanation I will use the example 7.2
So lets move the decimal 3 to the right.
You get 7200.
Now try dividing 7200 by 100 = 72
This did not get us the original # 7.2
Now lets divide 7200 by 1000 = 7.2
Now that we got the original #, switch the operation and multiply 7.2 by 1000
7.2 x 1000 = 7200
Answer = multiplying the number by 1,000
Is 7.0001 is terminating or repeating decimals
Answer:
it is terminating
Step-by-step explanation:
Write the sentence as an equation 175 is equal to 182 multiplied by g
A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes
Answer:
The following are the answer:
In option a "No".
In option b "Yes".
Step-by-step explanation:
In choice a:
Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.
It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.
In choice b:
we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.
Fill in the next two term in the pattern 0.16 0.35 0.54 ---- ----
Answer:
0.73 and 0.92
Step-by-step explanation:
The answers are 0.73 and 0.92 because:
1) Subtract 0.54 with 0.35, you will get 0.19
2) Therefore, we know the patter is adding 0.19 for each number
3) 0.54 + 0.19 = 0.73
4) 0.73 + 0.19 = 0.92
Hope this helps!
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The next two terms in the pattern will be 0.73 and 0.92.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The given series is an arithmetic series. Therefore, the common difference between any of the two terms in the series is,
Common difference = 0.35 - 0.16 = 0.19
Now, the next term of the series will be,
Next term = Previous term + common difference
= 0.54 + 0.19
= 0.73
Next term = 0.73 + 0.19
= 0.92
Hence, the next two terms in the pattern will be 0.73 and 0.92.
Learn more about Arithmetic sequence here:
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There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?
Answer:
It is possible.
Step-by-step explanation:
Each piece of cheese can be divided into two equal pieces.
Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.
Then there will be 15 pieces in each group.
Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.
Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.
Part D
Describe any patterns or trends you noticed when finding the products in part
c
Answer:
The middle two terms cancel out each time, and the final product is x2 plus the product of the positive coefficients of i in the original expression. All imaginary parts either cancel out or get replaced with -1, leaving an expression that doesn’t include imaginary numbers.
Step-by-step explanation:
In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?
Answer:
i cant understand it brief it plz
Step-by-step explanation:
You are baking cookies for your family. You have 12 family members and you have baked 5 cookies so far. Write an equation to find the additional
number of x of cookies you need to bake. Then solve for x.
Answer:
7 cookies
hope this helped you
please mark as the brainliest (ㆁωㆁ)
if 49+ b2= 169, what is b2?
If I have a 9ft plank how many 3/4 pieces can I get
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?
The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
To know more about graphs follow
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A farm lets you pick 3 pints of raspberries for $12.00. At this rate, how many pints can you get for $20?
Answer:
5
Step-by-step explanation:
12$:3 =4$ a pints of raspberries
20$:4$=5 pints of raspberries
Hi, can someone answer this?
Answer:
I think its D
Step-by-step explanation:
the 2 on top of the b equals 400.
400 times 400 = 160,000
( Hope this helps! )
state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states
Answer:
Step-by-step explanation:
Total events = 75
A + B + C = 75 --------------(I)
State A had hosted the sporting event 9 more times then state C.
A = C + 9 ---------------------(II)
Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.
A + C = 4B + 5 ---------------------(III)
Substitute A = C + 9 in (III)
C + 9 + C = 4B + 5
2C + 4 = 4B + 5
2C = 4B + 5 - 9
2C = 4B - 4
Divide the whole equation by 2
2C/2 = 4B/2 - 4/2
C = 2B - 2 -------------(a)
Plugin the C = 2B - 2 in (II)
A = C + 9
A = 2B - 2 + 9
A = 2B + 7 ------------------(b)
Plugin the value of A & C from (a) & (b) in equation (I)
A + B + C = 75
2B + 7 + B + 2B - 2 = 75
Add the like terms
2B + B + 2B + 7 - 2 = 75
5B + 5 = 75
5B = 75 - 5
5B = 70
B = 70/5
B = 14
Plug in B value in equation (a)
C = 2B - 2
C = 2*14 -2
= 28 - 2
C = 26
Plugin B value in equation (b)
A = 2B + 7
= 2*14 + 7
= 28 + 7
A = 35
State A has hosted 35 times
State B has hosted 14 times
State C has hosted 26 times
The price of a sweater was reduced from 20$ to 12$. By what percentage was the price of the sweater reduced?
Answer:
60%
Step-by-step explanation:
To find the reduction percentage, divide 12 by 20, then multiply by 100:
12/20
= 0.6
0.6(100)
= 60
So, the sweater was reduced by 60%
Answer:
60%
Step-by-step explanation:
[tex]\frac{12}{20} * \frac{x}{100}[/tex]
12 * 100 is 1200
1200/20 = 60
So, therefore the sweater was reduced by 60%.
Hope this helps, have a great day:)