Answer:
The angle is 112 degrees and the supplement is 68 degrees.
Step-by-step explanation:
Let the angle’s measure be represented by x and the supplement’s measure be represented by y. Since supplementary angles add to 180 degrees, x + y = 180.
Since the supplement is 44 degrees less than the angle,
y + 44 = x
We can substitute y + 44 = x for x in the first equation, since they are equivalent.
y + 44 + y = 180
2y + 44 = 180
2y = 136
y = 68
Substitute 68 for y in one of the original equations and solve.
68 + 44 = x
x = 112
What two numbers has a sum of 18 and a difference of 8?
13 and 5
let's say the two numbers are x and y
x+y = 18
x-y= 8
x+y+x-y= 18+8
18+8 = 26
2x = 26
x = 13
18-13 = 5
y = 5
Which statement is true about the relationship between the amount of plant food remaining and the number of days? This relationship is a function because more than one amount of plant food remains each day. O This relationship is not a function because only one amount of plant food remains each day. O This relationship is not a function because more than one amount of plant food remains each day. O This relationship is a function because only one amount of plant food remains each day.
Plant food is indeed dung or a mix of nitrates that are also given to soil to make it fruitful. Plant fertilizers are available in a variety of formats in the market, including water-soluble plant fertilizer, sustained-release crop fertilizer, and many others. Natural organic food is the best option for fertilizing.
Feeding the plants on a normal basis ensures optimum growth, the production of attractive blossoms and fruit, and the developing resistance to harsh weather and disease.As only one amount of plant-based foods remains every day, this connection is not a function. This statement is about the connection between the group of plant food left and the length of stay.Therefore, the final answer is "2nd Choice".
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Find a polynomial function of degree 3 with real coefficients that has the given zeros.
- 2, 3, -4
Polynomial functions' standard form is f(x)=ax^n+bx^n-1...+k
However, polynomials can also be written in intercept form
f(x)=(x-x1)(x-x2)(x-x3)...(x-xn) for roots/zeros x1,x2,x3,...,xn
With the three numbers that you have -2, 3, -4 you can write function
f(x)=(x-(-2))(x-3)(x-(-4))
Then you can simplify and distribute
f(x)=(x+2)(x-3)(x+4)
f(x)=(x^2-x-6)(x+4)
f(x)=x^3+3x^2-10x-24
Which would be the answer
Which of the following is an equation of the line tangent to the graph of x^2 - 3xy = 10 at the point (1, -3)?
Answer:
Step-by-step explanation:
slope = m = y'
x² - 3xy = 10
2x - 3y - 3xy' = 0
at (1, -3)
2(1) - 3(-3) - 3(1)y' = 0
2 + 9 = 3y'
y' = 11/3
equation of tangent:
y = -3 + (11/3) (x - 1) = 11x/3 - 20/3
A company has two machines MI and M2. MI produces 60% of its product and M2 produces 40% of its product. M1 produces 5% defective units and M2 produces 4% defective units. A unit is selected at random from the whole product. A) Find the probability that it is defective. B) What is the probability that it was manufactured by machine M2
Step-by-step explanation:
Consider the problem
Let, E 1 and E 2
be the respective events of items produced by machine A and B.
And let x be the event that the produced item was found to be defective.
Therefore,
Probability of items produced by machine A,P (E 1)=60%= 53
Probability of items produced by machine B,P (E 2)=40%= 52
And,
Probability that machine A produced defective items, P( E 1 x)=2%= 1002
Probability that machine B produced defective items, P( E 2 x)=1%= 1001
So, the probability that randomly selected items was from machine A is given by P( x E 1)
Now, Apply Bayes' Theorem
P( x E 1)= P(E 1)P( E 1x )+P(E 2)P( E 2x)P(E 1)P( E 1x)= 52× 1001 + 5
3× 1002
53× 100
2= 2+5
6= 11
6
Hence, the required probability of machine A is
11
6
The required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now given that,
Product produced by machine M1 = 60%
⇒ P(M1) = 60% = 0.6
Defective units = 5%
⇒ P(D1) = 5% = 0.05
Product produced by machine M2 = 40%
⇒ P(M2) = 40% = 0.4
Defective units = 4%
⇒ P(D2) = 4% = 0.04
Now, a unit is selected at random from the whole product
So, probability that it is defective is given as,
P(D) = P(D|M1) * P(D1) + P(D|M2) * P(D2)
⇒ P(M1|M2) = (0.6 X 0.05) + (0.4 X 0.04)
⇒ P(M1|M2) = 0.03 + 0.016
⇒ P(M1|M2) = 0.046
And probability that it was produced on the first machine(M2).
P(M2|D1) = P(M2∩D1) / P(D1)
⇒ P(M2|D) = (0.4 X 0.04)/0.04
⇒ P(M2|D) = 0.016 / 0.04
⇒ P(M2|D) = 0.4
Thus, the required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
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What is the slope of the line y = 3?
Answer:
m = 0
Step-by-step explanation:
Using the slope intercept form. The slop is 0
Answer: m = 0
Explanation: The equation y = 3 can be thought of as y = 0x + 3.
So our line has a slope of 0 and a y-intercept of 3.
When the equation of any line reads "y = a number",
it's graph will always be a flat or horizontal line.
Whenever we have a horizontal line, the slope is always 0
Divide the difference of 18 and 3 by the sum of
1 and 2.
Answer:
5
Step-by-step explanation:
1. 18-3=15
2. 1+2=3
3. 15÷3=5
Always remember to bear in mind your mathematic vocabulary.
What number is 175% of 56
Answer:
Your correct answer is 32.
Step-by-step explanation:
175 percent (calculated percentage %) of what number equals 56?
Answer: 32
A number 98 is 175 percent of 56.
We have to given that,
To find a number which is 175% of 56.
Let us assume that,
A number which is 175% of 56 is, x
Hence, We can write as,
x = 175% of 56
x = 175/100 × 56
x = 1.75 × 56
x = 98
Therefore, The solution is, 98
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Without multiplying, order the following products from least to greatest.
2x3/5. 1/4x 3/5. 1 2/5x 3/5. 6/6x 3/5.
Please help, Thank you.
Answer:
6/6 x 3/5, 1/4 x 3/5, 1 2/5 x 3/5, 2 x 3/5
Hope this helps
Step-by-step explanation:
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
Which function matches the table?
A)
f(x) = x + 1
B)
f(x) = 1
o
f(x) = x2
D)
f(x) = x - 1
f(x) = x+1
as
f(0) = 0+1 = 1
f(2) = 2+1 = 3
f(3) = 3+1 = 4
and so on
List all of the different natural numbers that each leave a remainder of 2 when divided into 83
Answer:
1, 3, 9, 27, 81
Step-by-step explanation:
A remainder of 2 indicated that the multiplication of any factors will be two less than 83.
Step 1: 83-2=81
Step 2: Find all factors of 81
1, 3, 9, 27, 81
All the different natural numbers are;
⇒ 3, 6, 9, 81
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
All the different natural numbers that each leave a remainder of 2 when divided into 83.
Since, The remainder is 2
So, The value of number = 83 - 2
= 81
Now, All the factors of 81 are,
⇒ 3, 6, 9, 81
Thus, All the natural number which divides the 83 and leave the remainder 2 are,
⇒ 3, 6, 9, 81
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Jo’s rectangular dining room is 8 feet wide and 3 feet long. Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Jo need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Jo for the new flooring?
SHOW YOUR WORK
Answer:
it is 48
Step-by-step explanation:
the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48
and it would be 480.00$
Select all of the statements that are true for the given parabola. A. The minimum is (-1, 6)
B. The line of symmetry is x = -1
C. The x-intercepts are (0, 1) and (0, -3)
D. The maximum is (-1, 6)
Answer:
b AND d
Step-by-step explanation:
trust me ON this one
Answer:
B and D is correct
Step-by-step explanation:
how do i find the area of 3/4 of a circle with a radius of 6
Answer:
you divide the circumference of the circle by 1/4
Step-by-step explanation:
I think this is correct
Determine the rational zeros for the function f(x)=8x^(3)-6x^(2)-23x+6.
a. -(1)/(2),(1)/(4),2
c. -1(1)/(2),(1)/(4),2
b. 1(1)/(2),(1)/(4),-2
d. -1(1)/(2),-(1)/(4),2
Answer:
Step-by-step explanation:
Rational zeros of f(x) = 8x³-6x²-23x +6 is equals to [tex]2, \frac{-3}{2} , \frac{1}{4}[/tex].
What are rational zeros?"A rational zero of a polynomial P(x) is defined as when the variable x = p/q and P (p/q) = 0 where p and q are any integers."
According to the question,
Given,
f(x) = 8x³-6x²-23x +6
Factor of 6 'p' =±1, ±2, ±3, ±6
Factor of 8 'q' = ±1 , ±2, ±4 , ±8
Using trial and error method x=2 is a common factor
Substitute x=2 in f(x) we get,
f(2) = 8(2)³ -6(2)² -23(2) +6
= 64-24-46+6
=0
(x-2) is a factor of f(x).
Divide f(x) by (x-2)
[tex]\frac{8x^{3}-6x^{2} -23x+6 }{(x-2)}[/tex]
= 8x²+10x-3
Factorize it we get,
8x²+12x-2x-3
= 4x(2x+3) - 1(2x+3)
= (4x-1)(2x+3)
For rational zeros ,Substitute f(x=(p/q)) =0
x-2=0
⇒ x=2
2x+3=0
⇒x= -3/2
= [tex]-1\frac{1}{2}[/tex]
4x-1 =0
⇒x=1/4
Hence, Option (C) is the correct answer.
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11x - 3x + 96 = 11x + 48
Answer:
x=16
Step-by-step explanation:
Simplify 32x3⎯⎯⎯⎯⎯⎯⎯⎯√ ·6x3⎯⎯⎯⎯⎯⎯√
A.
6x23x⎯⎯⎯⎯√
B.
16x3
C.
8x33⎯⎯
D.
6x33⎯⎯
Answer:
The answer is: √63=√32⋅7=√32⋅√7=3√7 .
Step-by-step explanation:
A water pitcher contains 2/3 gallons of water you add 5/7 gallons of water to the picture how much water to the picture contain right the answer in simplest form
Simplify the expression.
6(12-3) + 4 + (3 x 2)
Answer:
64
Step-by-step explanation:
72-18+4+6=64
Answer:
64
Step-by-step explanation:
Find perimeter of a rectangle length 3 ft 6 inches width 2 ft?
Answer:
11ft
Step-by-step explanation:
3+4+2+2=11
langston has 45 greeting cards.he gives 18 of the card to his frinds. What percentil of this greeting card does he give to his frinds.?
Answer:
40%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100.
Identify The slope and y-intercept Of the equation Y= -8
to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}}\implies \cfrac{-8+8}{5+1}\implies \cfrac{0}{6}\implies 0[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{0}(x-\stackrel{x_1}{(-1)}) \implies y+8=0(x+1) \\\\\\ y+8=0x+0\implies y=\stackrel{m}{0} x\underset{b}{-8}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Brainnless mathhhh help me and thanks
Answer:
I think it is B
Step-by-step explanation:
srry if it turns out to be wrong tho
Answer:
A
Step-by-step explanation:
Wording it differently however it is most likely A since there are 4 boxes of 6 and wording them like the equations to get 6 times as many as 4 since there are 6 in 4 boxes.
Pls I need help
Given h(x) = -2x + 4, solve for a when h(2)
= -
- 8.
Answer:
x = 6
Step-by-step explanation:
Decrease 400 ml by 3/4
Answer:
100
Step-by-step explanation:
3/4 is a quarter
1/4 of 400 is 100 seeing as 100x4 is 400.
HELPPPPP ON MATHHHHH ASAPPPPPPP
Answer:
the answer is 4
Answer:
x=4
Step-by-step explanation:
7x-15+2x=4x+10-5
9x-15=4x+10-5
9x-15=4x+5
5x-15=5
5x=20
x=20÷5
x=4
Hope this helps! :)
con el azucar de un saco enpaco bolsas de 250 cada una.¿cuantas bolsas en paco
Esta pregunta esta incompleta
Pregunta completa
El señor Juan tiene una tienda de abarrotes y sus ventas son al mayoreo y al menudeo. La semana pasada recibió dos toneladas de azúcar en 40 sacos de 50 kg cada uno.
Con el azúcar de un saco empacó bolsas de 250 cada una.¿cuantas bolsas en paco
Answer:
200 bolsas.
Step-by-step explanation:
Se nos dice en la pregunta,
La semana pasada recibió dos toneladas de azúcar en 40 bolsas de 50 kg cada una.
Esto significa
1 bolsa = 50 kg de azúcar.
1 kg = 1000 gramos
50 kg = 50 × 1000 gramos
= 50000 gramos
Por tanto, 1 bolsa contiene = 50000 gramos de azúcar.
A partir de la pregunta anterior, se nos pregunta cuántas bolsas de azúcar obtendría si cada bolsa contuviera 250 gramos.
Por lo tanto:
50000/250 gramos
= 200 bolsas.
Por lo tanto, obtendría 200 bolsas.
h(a) = a² + 1
g(a) = 2a + 4
Find h(g(8))
[tex]g(a) = 2a + 4[/tex]
[tex]g(8) = 2(8) + 4 = 20[/tex]
_________________________________
[tex]h(a) = {a}^{2} + 1 [/tex]
[tex]h(g(8)) = h(20) = {20}^{2} + 1 = 401 \\ [/tex]
Done...♥️♥️♥️♥️♥️
Jon, Clark, Louis, herb, chuck, and Roy have entered a trumpet contest. The top 3 contestants will receive awards. How many different ways could the judges select the top 3 contestants?
Answer:
well
Step-by-step explanation:
think about it 3 ways so its more than 3 maybe 4 5 6 7 or 9 im not sure
The length of a rectangle is three times the width. The perimeter is 96 cm. Find the length and width of the rectangle.
Answer:
Length = 36cm
Width = 12 cm
Step-by-step explanation:
Perimeter = all the sides added up.
Perimeter of a rectangle = L + L + W + W OR 2L + 2W
We are given that the length = 3 times the width. So L = 3W
P = 2L + 2W
96 = 2 (3W) + 2W
96 = 6W +2W
96 = 8W (divide both sides by 8)
W = 12 cm
To find the length- we know the length is 3 times the width.
So L = 3 x 12 = 36 cm