Answer:
[tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]
Step-by-step explanation:
Though it is not what you have written, we think you want to simplify ...
[tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]
_____
When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).
1. Which of the following sets of numbers could represent the lengths of the sides of an acute triangle?
A.4,5,8
b. 5,5,7
c. 6,6,14
d. 7,7,15
Answer:
C
Step-by-step explanation:
That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.
Solve this a² ÷ a⁴ × a²
Step-by-step explanation:
a^4 - a^4 = (a^2 +a^2)(a^2-a^2)
a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)
there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0
i hope this will help you
Answer:
Hello There!
~~~~~~~~~~~~~~~
a² ÷ a⁴ × a² =
1
Step-by-step explanation: Simplify the expression.
Hope this helped you! Brainliest would be nice!
☆_____________❤︎______________☆
A)15-3x4
B) find the range of the following list of numbers
7 1 9 3 5
Answer:
The range is 8.
Step-by-step explanation:
7, 1, 9, 3, 5
The range = Largest no. - Smallest no.
9 - 1 = 8
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5[/tex]
Largest value in this set = 9
smallest value in this set = 1
Range = largest value - smallest value
= 9 - 1
= 8
To write a fraction as a decimal, you divide the denominator by the numerator.
Answer:
"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."
Step-by-step explanation:
What is the mean of: 3.7, 5, 9.2, 4, 6.1, 5, 2.6, 4, 5.2, 5?
Answer:
4.98
Step-by-step explanation:
Answer:
4.98
Step-by-step explanation:
ANY ONE PLZ HELP 25 POINTS PROVE THAT x³+y³+z³-3xyz=(x+y+z)(x+ωy+ω²z)(x+ω²y+ωz)
Answer:
Proved
Step-by-step explanation:
Taking R.H.S
=> [tex](x+y+z)[x(x+w^2y+wz)+wy(x+w^2y+wz)+w^2z(x+w^2y+wz)][/tex]
=> [tex](x+y+z)(x^2+w^2xy+wxz+wxy+w^3y^2+w^2yz+w^2xz+w^4yz+w^3z^2)[/tex]
Remember ∴ ω³ = 1
So we'll replace all ω³'s with 1
=> [tex](x+y+z)(x^2+y^2+z^2+w^2xy+wxy+w^2yz+w^4yz+w^2xz+wxz)[/tex]
=> [tex](x+y+z)[x^2+y^2+z^2+xy(w^2+x)+w^2yz+w^3*wyz+xz(w^2+w)][/tex]
Remember ∴ ω²+ω = -1
=> [tex](x+y+z)[x^2+y^2+z^2+xy(-1)+yz(w^2+w)+xz(-1)][/tex]
=> [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]
According to formula:
x³+y³+z³-3xyz = [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]
So, it becomes
=> [tex]x^3+y^3+z^3-3xyz[/tex]
This is about the domain and range. PLEASE HELP ME!
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x (input).
There are no restrictions on x.
The domain is all real numbers.
The range is the set of possible values for y (output).
Let x = 0.
[tex]F(0)=5-(0)^2[/tex]
[tex]F(0)=5[/tex]
The maximum value of y is 5.
Let x = 50
[tex]F(50)=5-(50)^2[/tex]
[tex]F(50)=5-2500[/tex]
[tex]F(50)=-2495[/tex]
The minimun value of y is [tex]- \infty[/tex] from observation.
The values of x can be a negative number.
[tex]F(-5)=5-(-5)^2[/tex]
[tex]F(-5)=5-25[/tex]
[tex]F(-5)=-20[/tex]
The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].
please help me 4 1/7 + 1/2
Answer:
Exact Form:65/14
Mixed number Form:4 9/14
Step-by-step explanation:
Answer:
4 9/14
as an improper fraction: 65/14
hopefully this helped :3
There were 6954 cases filed with the Supreme Court. Of these only 82 were decided by the Supreme Court. What percentage was decided by the Supreme Court
Answer:
Total no. of cases = 6954
No. of cases decided = 82
Percentage decided = (82/6954)x100 = 1.17%
Answer:
1.18%
Step-by-step explanation:
A percentage can be found by dividing the part by the whole. then multiplying by 100.
(part/whole) * 100
In this problem, the part is the cases decided by the Supreme Court. The whole is the total number of cases filed.
(cases decided / cases filed) *100
There were 82 cases decided by the Supreme Court, out of a total of 6,954 cases filed.
(82/6954) *100
First, solve the parentheses and divide.
0.0117917745* 100
Multiply
1.17917745 %
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 up to an 8 in the hundredth place.
1.18 %
About 1.18% of the cases filed were decided by the Supreme Court.
Please solve part h you have to find thr value of x
Answer:
x=301
Step-by-step explanation:
first thing you must know the sum of angle
for this question the polygon has 6 sides (if you connect B and D)
so based on formula (n-2)×180; n is number of side
(6-2)×180=720
so the sum of angle in the polygon is 720
to find x you just need to subtract 720 with all the angle given in the diagram. (and don't forget the 90 degree that made from connected line B and D)
x=720-118-87-34-90-90
x=301
Helppp!!!! please!!!
Answer:
[tex]\boxed{Area = 32.5 mm^2}[/tex]
Step-by-step explanation:
Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where base = 13 mm, Height = 5 mm
Area = 1/2 (13)(5)
=> Area = 1/2 (65)
=> Area = 32.5 mm^2
Answer:
c. 32.5 mm²
Step-by-step explanation:
The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².
Which expressions is not polynomial
Answer: c
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing terms and write them in decreasing order of exponents.
Answer:
7m(3m^6 - m^4 + 7)
Step-by-step explanation:
This is a factorization question
All we want to do here is to factor out 7m from each term of the polynomial
This becomes;
21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)
if the length is 4 inches, the width is 5 inches, and the height is 10 inches, what are the units for the volume
Answer:
Step-by-step explanation:
V=lwh=4*5*10=200 cubic inch or in^3
In the diagram below, AB is parallel to cd what is the value of x?
Answer:
45 degrees
Step-by-step explanation:
corresponding angles have are equal
PLEASE HELP WILL GIVE EXTRA POINTS
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group.
A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822:
H0: Salvage rates are the same for Remedy A and B
Ha: Remedy B has a greater salvage rate
Part A: Interpret the p-value in terms of the context.
Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study?
Answer:
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B
Step-by-step explanation:
The p-value
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]\hat p_1[/tex] = 35/220 = 7/44
[tex]\hat p_2[/tex] = 39/230
[tex]\hat p[/tex] = 74/220 = 37/110
We get our test statistic z = -0.2996381
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.
convert the following to a rectangular equation
x=3t+5
y=t^2-1
Answer:
y=2x-3, x=23.5
Step-by-step explanation:
This is what i got.
The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.
What is Rectangular Equation?An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.
Given:
x=3t+5.....(1)
y=t²-1.....(2)
From equation (1), we get
t= 1/3(x-5)
Now, put t in equation (2)
y= 1/9 (x- 5)² - 1
y = 1/9 x² - 25/9 -10x/ 9 - 1
y= x² /9 - 10x/9 - 34/9
Learn more about rectangular form here:
https://brainly.com/question/10345510
#SPJ2
I need help plz i will make u a brainllest
1.Identify the property that justifies the following statement: 31. 36.Find the value of x rounded to the nearest tenth. 38.Which statements could you use to conclude that JKLM is a parallelogram?
Answer: 1) C. Reflexive Property of Congruence
2) A. MD ≅ SG
3) C. 5.3
4) D. LK || MJ & JK ≡ LM
Step-by-step explanation:
1) An angle or side is congruent to itself by the Reflexive Property
2) TM ≡ LG Sides are congruent (given)
∠M ≡ ∠G Angles are congruent (given)
MD ≡ SG Sides are congruent
ΔTMD ≡ ΔLGS Side-Angle-Side (SAS) Theorem
Note: The angle must connect the two sides
3) Use similarity proportion
[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]
4) In order to prove a polygon is a parallelogram, you must show
opposite sides are parallelopposite sides are congruentthe sum of the digits of a two digit number is 7 if the digits are reversed the new number was increased by 3 equals 4 times the original number find the number
Answer:
16
Step-by-step explanation:
61+3=64
16*4=64
64=64
x+2y=8 under it is x-3y =6 solve it using simultaneous equation,substitution method.
Answer:
Step-by-step explanation:
x +2y = 8 ----- (I)
x = 8 - 2y
x - 3y = 6 -------(II)
Substitute x = 8 - 2y in equation (II)
8 - 2y - 3y = 6 {add like terms}
8 - 5y = 6
Subtract 8 form both sides
-5y = 6- 8
-5y = -2
Divide both sides by -5
-5y/-5 = -2/-5
y = 2/5
Substitute y = 2/5 in equation (I)
[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]
x = 36/5
2/3 x +3 =1/4x-7
solve with work
Answer:
x=-24
Step-by-step explanation:
2/3 x +3 =1/4x-7
8/12x+3= 3/12x-7
5/12x + 3 = -7
5/12x = -10
5/12x (12/5) = -10(12/5)
x=-120/5
x=24
One popcorn kernel weighs 1.23 grams. If a package of popcorn kernels weighs 2 kilograms, approximately how many popcorn kernels does the package hold?
Answer:
1626.02
Step-by-step explanation:
1 gram is 0.001 kilograms. The bag weighs 2 kilograms and each popcorn is 1.23 grams. 2 kilograms weigh 2000 grams.
Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck? A. 57 feet B. 14 feet C. 49 feet D. 106 feet
Answer:
b
Step-by-step explanation:
Answer:
its not 14 feet
Step-by-step explanation:
Change each of the following angles in degrees to angles in radians
(d) 〖150〗^0 (e) 〖240〗^0 (f) 〖300〗^0
Answer:
d: 2.6179, e: 4.1887, f: 5.2359 all in rad
Step-by-step explanation:
(d): 150°degrees
150° × π / 180°
= 0.83333333333π rad
= 2.6179 rad
(e):240°degrees
240° × π / 180°
= 1.3333333333π rad
= 4.1887 rad
(f): 300°degrees
300° × π / 180°
= 1.6666666667π rad
= 5.2359 rad
If all my stuff is correct please give me an 5/5 and a thanks. :)
Sergio wants to buy both chicken and ham to serve at a holiday dinner. Chicken costs $4.29 per pound, and ham costs $6.99 per pound. The maximum amount Sergio can spend is $88.00. If x represents the number of pounds of chicken Sergio buys, and y represents the number of pounds of ham he buys, which inequality represents this situation?
Answer:
4.29x + 6.99y ≤ 88
Step-by-step explanation:
x represents the number of pounds of chicken he can buy and y represents the number of pounds of ham he can buy. Multiplying the price per pound by the number of pounds he will buy will give you the amount of money he will spend and here he has only $88. Which means the amount of money he will spend should be less than or equal to $88 as shown in the inequality above.
Hope this helps.
Find the measurement of both complementary angles, if One is 30° greater than the other one.
Answer:
30° and 60°
Step-by-step explanation:
Step 1: Write out equation
x + (x + 30) = 90
Step 2: Solve for x
2x + 30 = 90
2x = 60
x = 30
Step 3: Find other angle
90 - 30 = 60
Answer:
30 and 60
Step-by-step explanation:
Let x be one angle
x+30 is the other angle
Complementary angles add to 90
x+ x+30 = 90
2x+30 = 90
Subtract 30 from each side
2x=90-30
2x= 60
Divide by 2
2x/2 = 60/2
x = 30
The angles are 30 and 30+30 = 60
6z^6-21z^4-12z^2
give in step by step explanation
This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.
Answer:
Step-by-step explanation:
6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²
= 3z² (2z⁴ - 7z² - 4)
Max has 8 8 boxes of cans for a food drive. Each box has 17 17 cans. Max gives half of the boxes to his teacher. Write an expression that represents the total number of cans in all the boxes that his teacher has.
Answer:
Total cans = 17 (4)
Step-by-step explanation:
If Max has 8 boxes and gives half of the boxes to his teacher, then the teacher has 4 boxes.
Now, the teacher has 4 boxes but each box has 17 cans inside. To represent how many cans the teacher has, we will need to multiply the number of boxes by the number of cans each box has,
Then, the Total number of cans = [tex]17(4)[/tex] = 68.
Thus, the expression that represents the total number of cans in all the boxes that the teacher has would be: Total cans = 17 (4)
Will Give Brainliest and 5 star..... Please Help
Q. ε = {x: 2 ≤ x ≤30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: (i) MUP (ii) M - T (iii) P∪(M∩T) (iv) P’U(M∩T’)
Answer:
(i)[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]
(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}
Step-by-step explanation:
Given the sets:
ε = {x: 2 ≤ x ≤30, x is an integer}
M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}
(i)This is the union of sets M and P. (Do not repeat same elemnts)
[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]
(ii)M-T: This is the set M less elements in set T.
Since [tex]M \cap T =\{\}[/tex], the set M-T=M.
M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
(iii) P∪(M∩T)
[tex]M \cap T =\{\}[/tex]
Therefore:
P∪(M∩T) = P
P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
(iv) P’U(M∩T’)
Since T is the set of odd numbers, its complement will be the set of even numbers.
T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
[tex]P' =\{4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30\}[/tex]
Therefore:
P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}
what is an slope? like in general
Answer:
A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface
Step-by-step explanation: