Answer:
z = 145° , y = 35° , x = 145°
Step-by-step explanation:
z = 180° - 35° = 145° (angles in a straight line add up to 180° i.e z + 35° 180°)
y + z = 180° (angles in a straight line add up to 180°)
∴ y = 180° - 145° = 35°
Alternatively: y = 35° (vertically opposite angles are equal)
x = z = 145° since vertically opposite angles are equal.
Sketch the graph of the line. y = 5
I don't know if this is what you are looking for, but here is the graph of y=5.
Answer: Put the line Horizontally going through the point of 5 on the y axis.
Step-by-step explanation:
enter an internet value that could be used in each of the blanks below to make the polynomial factorable
Section 3: Translate from English into the language of Propositional Logic. Use the letters provided to stand for simple propositions.
17. Stacy will come with us to see the Gauguin exhibit only if Angelina and Jane don’t both go. (S, A, J)
18. If diamonds are not precious stones, then neither are sapphires. (D, S)
Section 5: Test the following arguments for validity using either the direct or
indirect truth-table method.
34. G ⊃ H / R ≡ G / ~H v G // R • H
The argument is valid. The argument is valid based on the direct truth-table method.
To test the validity of the argument, we can use the direct truth-table method. Let's break down the argument and construct the truth table for the given premises and the conclusion:
Premises:
G ⊃ H
R ≡ G
~H v G
Conclusion:
R • H
Constructing the truth table:
We have three propositions: G, H, and R. Each proposition can have two truth values, true (T) or false (F). Therefore, we need 2^3 (8) rows in the truth table to evaluate all possible combinations.
By evaluating the truth table, we find that in all rows where the premises (1, 2, 3) are true, the conclusion (R • H) is also true. There is no row where the premises are true, but the conclusion is false. Therefore, the argument is valid.
The argument is valid based on the direct truth-table method. This means that if the premises (G ⊃ H, R ≡ G, ~H v G) are true, then the conclusion (R • H) must also be true.
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2x2 cuantos porfasss
Answer:
4
Step-by-step explanation:
Answer:
2 x 2 = 4
Step-by-step explanation:
if you count 2 2 times then you would get 4. EASY
Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of cars sold in first month = 4900
Sales drop by 100 cars per month for the first year:
A(x) = a - 100(x - 1)
No = sale In first month = 4900
First five months
Ist month :
a = 4900
2nd :
4900 - 100 = 4800
3rd :
4800 - 100 = 4700
4th:
4700 - 100 = 4600
5th:
4600 - 100 = 4500
First five terms : (4900,4800,4700,4600, 4500)
Predicted sales for 12th month :
A(12) = 4900 - 100(12 - 1)
A(12) = 4900 - 1100
= 3800
Total sales for the first year:
4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =
= 52,200
Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet
The polynomial equation representing the situation is 4x² + 56x = 93 .
In the question ,
it is given that
the length of the rectangular garden is = 16 feet
the width of the rectangular garden is = 12 feet
we have to surround the border by mulch ,
the width of the border with mulch is = x
So the new length with mulch = 16 + x + x = 16 + 2x
and the new width with mulch is = 12 + x + x = 12 + 2x
also given that the area of garden plus border is = 285 square feet
we know that the area is = length × width
On substituting the values length and breadth , we get
285 = (16 + 2x)×(12 + 2x)
285 = 192 + 32x + 24x + 4x²
4x² + 56x + 192 = 285
4x² + 56x = 285 - 192
4x² + 56x = 93
Therefore , The polynomial equation representing the situation is 4x² + 56x = 93 .
The given question is incomplete , the complete question is
Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet . Write a polynomial equation to represent the situation ?
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Can someone help me with my life
Answer:
whats goin on homie
Step-by-step explanation:
Answer:
sup
Step-by-step explanation:
Woulsnt it be y=7x+35
X would be the number of lawns he mows. We dont know that answer.
Y would be the amount he is paid. So i think it would be
Y=35 + X
Trying my best here im not good with algebra. I know that Y goes with the 35$
The length of a rectangle is three times its width. It the perimeter of the rectangle is 96m, find the length and breadth of the rectangle
Let the width, w = x m
So, according to the Question,
The length, l = 3x m
Perimeter of a rectangle = 2 (l + w) m
Perimeter of the rectangle = 96 m
It's equation will be,
2 (3x + x) m = 96 m
or, 4x m = 96/2 m
or, 4x m = 48 m
or, x m = 48/4 m
or, x m = 12 m
Therefore, the width and the length of the rectangle is 12 m and 3(12) m = 36 m respectively.
2. Translate the sentence to function notation:
The cost of shipping depends on the distance shipped.
Answer:
see the explanation below
Step-by-step explanation:
The expression for the cost can be given as
y=mx+c
where x= the distance
m= the cost to move x distance
c= the fixed cost
Therefore the total cost to ship the cost will be y
Norman has a coin collection. There are 3 dimes for every 5 quarters in his collection. If Norman has a total of 72 dimes, how many quarters does he have?
43
74
102
120
There are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Norman has a coin collection. There are 3 dimes for every 5 quarters in his collection.
3 dimes → 5 quarters
72 dimes → x quarters
x = (5x72)/3
x = 120 quarters
Thus, there are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.
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Answer:
120
Step-by-step explanation:
Consider the function h(x) = x3 – 2x. Find the value of h(3).=AnswerE KeyKeyboard Shoh(3) =-
To find h(3) we need to substitute x = 3 into h(x) as follows:
\(\begin{gathered} h(x)=x^3-2x \\ h(3)=3^3-2(3) \\ h(3)=27-6 \\ h(3)=21 \end{gathered}\)
30+ (-30)
The sum is___ because -30_______
Answer:
0
Step-by-step explanation:
The sum is 0 because -30 plus 30 equals nothing. Imagine having -30 and adding 30 that would be 0. It's just kinda common sense to me.
Hope this helps :)
what's the greatest common factor of 546,462 and 966
Answer:
GCF is 42
Step-by-step explanation:
Hope this helps you have a good day!
If this does not help you im sorry!
Hey just needed to know if it 3 or -3 for the slope of this line!
The slope of the line is -3. The equation of the line is expressed as: y = -3x + 7.
How to Find the Equation of a Line in Slope-intercept Form?The equation, y = mx + b, if the slope-intercept form of any straight line, where:
m is the slope = change in y / change in x = rise / run
b is the y-intercept or the point on the y-axis that the line cuts across.
From the graph, we know that:
b = 7 (y-intercept)
Slope (m) = rise/run = -3/1
Slope (m) = -3
Therefore, the equation of the line would be:
y = -3x + 7
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help me pleasee question is in the picture <3
Answer:
b. 3x-1 is a factor of 24x^2+7x-5.
Which property is demonstrated? (7 × 25) × 9 = 7 × (25 × 9)
Answer:
Associativity.
Step-by-step explanation:
Consider the function g(x)=−(x−1)^3−2. Which ordered pair lies on the inverse of the function?
(62,−3)
(−4, 123)
(3, 1)
(3,−6)
The ordered pair lie on the inverse of the function is (62,−3).
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -(x - 1)³ - 2
The inverse of f(x).
y = -(x - 1)³ - 2
interchange x and y and solve for y.
x = -(y - 1)3 - 2
(y - 1)³ = -2 - x
(y - 1)³ = -(2 + x)
Cuberoot on both sides.
y - 1 = ∛-(2 + x)
y = ∛-(2 + x) + 1
Now,
Substitute in the inverse of g(x).
(62, -3) = (x, y)
(−4, 123) = (x, y)
(3, 1) = (x, y)
(3,−6) = (x, y)
So,
y = ∛-(2 + x) + 1
y = ∛-(2 + 62) + 1
∛-1 = -1
y = -1∛64 + 1
y = -1 x 4 + 1
y = -4 + 1
y = -3
So,
(62, -3) ______(1)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 - 4) + 1
∛-1 = -1
y = ∛(-2 + 4) + 1
y = ∛2 + 1
y = 1.26 + 1
y = 2.26
So,
(-4, 2.26) _______(2)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) _______(3)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) ______(4)
Thus,
From (1), (2), (3), (4) we see that,
(62, -3) is the solution to the inverse of g(x).
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what is 0.222.... as a fraction in long divison
Answer:
2/9
Step-by-step explanation:
If you convert 0.222... into a fraction, usually you would think of the denominator 9 because it always has a 0.[repeated number]. Since we want a 0.2 repeated, our answer is 2/9.
jared has a wooden board 11 ft long. he wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece. how long will each piece of board be? enter your answers in the boxes.
On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.
What is equation?Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.
The lengths of the shorter and longer pieces of a board should be determined.
the case
Let's say that the shorter parts are x in length.
as stated
Jared has an 11-foot wooden board with him.
In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.
The length of the longer pieces is then equal to 4x - 4.
The equation then becomes
\(x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft\)
The shorter pieces will therefore be 3 feet long.
The longer pieces' length -
\(4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft\)
The longer pieces will therefore be 8 feet long.
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The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3463 grams and a variance of 372,100. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4316 grams. Round your answer to four decimal places.
If I flip a coin 200 times and it lands heads of every time what is the probability that it will land a heads up on the next flip
Is it still 50\50
yes or no
Answer: The answer is still 50/50
Step-by-step explanation:
because there is 2 sides of a coin ( heads, and tails ) no matter how many times you flip it, the chances will forever stay at 50/50
Answer:
no
Step-by-step explanation:
it is not 50/50 because u have to take into concideration the flips before it would be a 1 in 2^201 chance
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=-2/3-2
Step-by-step explanation:
four mutually exclusive events a;b;c;d each have a probability of 0:25. what is the probability that two or more of them will occur?
The probability that two or more of the events will occur is 0.683594.
The probability that two or more of the events will occur is equal to 1 minus the probability that none of the events will occur. Since the probability of each event occurring is 0.25, the probability that none of the events will occur is (1 - 0.25) * (1 - 0.25) * (1 - 0.25) * (1 - 0.25) = 0.316406. Therefore, the probability that two or more of the events will occur is 1 - 0.316406 = 0.683594.
Alternatively, you can find the probability that two or more of the events will occur by adding up the probabilities of each of the ways that two or more of the events can occur.
There are four ways that two events can occur (for example, event A and event B), six ways that three events can occur (for example, event A, event B, and event C), and four ways that all four events can occur.
Thus, the probability that two or more of the events will occur is (4 * 0.25 * 0.25) + (6 * 0.25 * 0.25 * 0.25) + (4 * 0.25 * 0.25 * 0.25 * 0.25) = 0.683594, which is the same result as before.
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A landscaping company charges customers a
one-time fee and an hourly rate of $10. For 1
hour of service, the company charges $35.
3. Which equation represents the total
charge t for h hours of landscaping?
Ot=10h
=10h+25
0
=250 + 10
Answer:
t = 10h +25
Step-by-step explanation:
let x be the one-time fee
hourly rate is $10
From given condition,
35 = x + 10*1
x = 35 - 10
x = 25
Therefore equation will be
t = 10h +25
The cube less the square of a number is twice the number. If x is a positive integer, what is its value
Answer:
2
Step-by-step explanation:
let 'x' = number
x³ - x² = 2x
x³- x² - 2x = 0
x(x² - x - 2) = 0
x(x - 2)(x + 1) = 0
x = -1, 0, 2
the only positive solution is the number 2
Which polynomial cannot be factored further ?
A.) x^2 - 1
B.) 6x - 2
C.) x^3 - 1
D.) x^2 + 1
What polynomial can be factored to give (a + 4) ( a - 4) ?
A.)a^2 - 4
B.)a^2 - 16
C.)a^2 - 8
D.)a^2 + 16
The following can be factored except ________.
A.) x^2 - y^2
B.) x^2 + y^2
C.) x^3 - y^3
D.) x^3 + y^3
Which one of the following is the correct factored form of x^3 + 1 ?
A.) (x + 1)^3
B.) (x + 1) (x^2 - x + 1)
C.) (x - 1) (x^2 + x + 1)
D.) (x + 1) (x^2 - 2x + 1)
Complete the factorization of -4a^2 + 2ab = -2a( ).
A.) (2a - b)
B.) (b - 2a)
C.) (-b - 2a)
D.) (a - 2b)
Which one of the following is the difference of two squares ?
A.) 6x^2 - 1
B.) 4x^2 - 25
C.) 2x^2 - 9
D.) y^3 - 1
Which is the difference of two squares ?
A.) x^2 - y^3
B.) 3x^2 - y^2
C.) x^3 - y^3
D.) x^2 - 1
Which of the following is the factored form of 6x - 21 ?
A.) 2x (3x - 7)
B.) 3 (2x - 7)
C.) 2x (3x + 7)
D.) 3 (2x + 7)
One factor of 15x^2 +6x is (5x+2). The other factor is ___________?
A.) Trinomial
B.) Constant
C.) Binomial
D.) Monomial
What is the GCF of 3x^3 and 5y^2 ?
A.) 15x^2y^2
B.) 3x^3
C.) 5y^2
D.) 1
Find the missing term of 8x^3 + y^3 = (2x + y) (4x^2 -___ + y^2)
A.) 2x^2y
B.) 4xy
C.) xy
D.) 2xy
Answer:
1 a
2b
3b
4b
5a
6b
7d
8a
9d
10d
11b
I need help I don't understand this
It is clear from the diagram that,
ㄥ6 + ㄥ8 = 180⇒ (2x - 5) + (x + 5) = 180
⇒ (2x + x) + (5 - 5) = 180
⇒ 3x + 0 = 180
⇒ x = 180/3
⇒ x = 60°
◈ From the geometry of figure,
ㄥ3 = ㄥ6⇒ ㄥ6 = (2x - 5)
⇒ ㄥ6 = (2×60 - 5)
⇒ ㄥ6 = 120 - 5
⇒ ㄥ6 = 115°
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment. What percent interest did he earn in total?