Answer:
d) none of the above
Step-by-step explanation:
g is increasing in the intervals:
- 4.5<x<-3.5
and
-1<x<3.5
These are not covered in the answer options
options a) and c) are partially correct
Answer: d) none of the above
Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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all the sides of a triangle are integers, and the perimeter is 12. how many different possible triangles are there
3 such difference triangle are possible when the perimeter of a triangle 12cm. if the lengths of the three sides are all integers (in cm).
Given that,
The perimeter of a triangle 12cm.if the lengths of the three sides are all integers (in cm).
We have to find how many such difference triangle are possible.
We know that,
Perimeter of the triangle is 12cm.
p=12
a+b+c=12
a+b≥c
b+c≥a
So,
a+b+c≥2c
12≥2c
c≤6
So,
a≤6,b≤6,c≤6
We get,
a=6,b=3,c=3
a=5,b=4,c=3
a=4,b=4,c=4
Therefore, 3 such difference triangle are possible when the perimeter of a triangle 12cm. if the lengths of the three sides are all integers (in cm).
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I need help...
23/6x12in=?
I'm really bad at math
Answer:
Step-by-step explanation: First you multiply 23 and 12 and you get 276. Then you do 276 divided by 6 and you get 46. So your final answer will be 43 inches.
Which exponential functions are equivalent to g(x) = 650(1.3)^6x? Select all that apply.
The exponential functions which are equivalent to the given function; g(x) = 650(1.3)^6x as required are;
h (x) = 650 (2.197)^2x.n (x) = 650 (1.690)^3x.Which answer choices represent equivalent exponential functions?As evident in the task content; the given exponential function is; g(x) = 650(1.3)^6x
Recall from the laws of indices that;
(1.3)^6x can be written as; (1.3²)^3x Or (1.3³)^2x.
Ultimately, resulting in; (1.69)^3x Or (2.197)^2x.
Therefore, the equivalent exponential functions are; h (x) = 650 (2.197)^2x and n (x) = 650 (1.690)^3x.
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Calculate the fee charger for R2500 withdrawal from town Bank
The fee charged for the R 2, 500 withdrawal from TownBank would be R 33. 30.
How to find the fee charged ?To find the total fee charged to withdraw the sum of R 2, 500 from TownBank, the formula is :
= 3. 30 + R 1, 20 per R 100
The amount withdrawn was R 2, 500 so the total fee charged would be :
= 3. 30 + 1, 20 x ( 2, 500 / 100 )
= 3. 30 + 1. 20 x 25
= 3. 30 + 30
= 33. 30
= R 33. 30
In conclusion, the total fee charged was R 33. 30.
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First part of the question :
The TownBank current account charges R3,30 plus R1,20 per R100 or part thereof for a cash withdrawal from a TownBank ATM. The first five withdrawals in a month are free. Determine the bank charges for a withdrawal of:
Compute the variances in dollar amount and in percentage. (Round to the nearest whole percent.) Indicate whether the variance is favorable (F) or unfavorable (U). Budgeted Amount - Expense $255.00 Actual Amount $225.00
Answer:
Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.
The reverse is true.
Variance = Budgeted Amount - Actual amount
= 255 - 225
= $30
Percentage = Variance / Budgeted amount
= 30/255
= 11.76%
The variance is FAVORABLE because the actual amount was less than the budgeted amount.
Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 93, p = 0.48: P(X ≤ 48)
The probability that X is less than or equal to 48 is approximately 0.023.
To use the normal approximation, we first need to check if the conditions are met:
1. The sample size is large enough: n*p = 93*0.48 = 44.64 and n*(1-p) = 93*0.52 = 48.36, both greater than 10.
2. The observations are independent: we assume that the sample is random and that the sample size is less than 10% of the population size.
Given these conditions, we can use the normal distribution to approximate the binomial distribution.
We standardize X using the formula:
z = \((X - n*p) / \sqrt{(n*p*(1-p)) }\)
Substituting the values, we get:
z = (48 - 93*0.48) / sqrt(93*0.48*0.52) = -1.99
Using a standard normal distribution table or calculator, we can find the probability:
P(X ≤ 48) ≈ P(z ≤ -1.99) = 0.023
Therefore, the probability that X is less than or equal to 48 is approximately 0.023.
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*97 POINTS*
Use the numerals representing cardinalities in the Venn diagram, shown on the right, to give the cardinality of the set
A' ∩ B' ∩ C. '
n(A' ∩ B' ∩ C')= ___________
Answer:
19
Step-by-step explanation:
A' represents everything out A
B' represents everything out B
C' represents everything out C
So only the outside is left hope this helps
I need a helping hand
Answer:it’s the third one
Step-by-step explanation:
Answer:
ur pic is not clear.........
5(x+6)+3x=2(1+4x)+1
I need help solving for x (9th grade pre ap algebra)
Answer:
-29
Step-by-step explanation:
5x +30 +3x =2+8x+1
x= -29
A lemonade recipe calls for using a ratio of 2 cups of lemon juice for every 4 cups of water. What is the ratio of lemon juice to total liquid?
The ratio of lemon juice to total liquid is 1 : 3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
A lemonade recipe calls for using a ratio of 2 cups of lemon juice for every 4 cups of water. Hence:
Total liquid = 2 cups of lemon juice + 4 cups of water = 6 cups
Hence:
Ratio of lemon juice to total liquid = 2 cups : 6 cups = 1 : 3
The ratio is 1 : 3
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please help me with this its for math will give brainly for correct answer
Indicate whether (2, 7) is a solution of the given system.
Yes, (2, 7) is a solution of the system.
No, (2, 7) is not a solution of the system.
Answer:
Yes. Plug in your x and y into the first given equation and you'll see why.
(7) ≥ -(2)+1
7 ≥ -1 (7 is greater than or equal to -1)
...As well as the second equation.
(7) < 4(2)+2
7 < 8+2
7 < 10 (7 is less than 10)
Step-by-step explanation:
Answer:
i am at 22 i thinkkk
Step-by-step explanation:
25 quesion thingy
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
the third choice
Step-by-step explanation:
I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..
PLEASE HELP ME WITH THIS!!!!!!!!!!!
Answer:
7. 76.7
8. 12.6
Step-by-step explanation:
Let me know in the comments if you want me to explain :)
A number between 1 and 20 and has exactly 4 factors
Answer:
6, 8, 10, 14, 15
Step-by-step explanation:
6(1,2,3,6)
8(1,2,4,8)
10(1,2,5,10)
14(1,2,7,14)
15(1,3,5,15)
According to the table above, what percent of patients with type-B blood are 50 years old or younger?
The percentage of patients with type-B blood that are 50 years old or younger is calculated as follows:
P = number of patients with type B blood that are 50 years or younger / number of patients with type B blood x 100%
How to calculate a percentage?Two parameters are used to calculate a percentage, as follows:
Number of desired outcomes a.Number of total outcomes b.The proportion is given by the number of desired outcomes divided by the number of total outcomes, while the percentage is the proportion multiplied by 100%.
Hence the rule is given as follows:
P = a/b x 100%.
Missing InformationThe problem is incomplete and the table could not be found on the internet, hence the general procedure to obtain the percentage is presented.
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Can someone help me on these ones. PLEASE HELP ME !!
\(\huge\blue{ANSWER}:—\)
Plz mark me as brainliest as I have solve all the questions for you
Answer:1 : x is 95/3
4 x is -32/10
7 b is 6
10 x is 20/7
13 x is 9/2
Step-by-step explanation:
URGENT WILL GIVE BRAINLIEST. Simplify 2x . 1/x^-3 . x^-2
Answer:
2x^2 is your answer
Step-by-step explanation:
Answer:
0.2x^2
Step-by-step explanation:
Marcus is buying a car. He borrows $10,000 from the bank at a 9% rate for 5 years. At the end of the 5 years, how much interest does Marcus pay?
Answer:
$4500 in interest.
Step-by-step explanation:
9% of 10,000 is 900, 900 x 5 is 4500
8 - 6x/y + 2x for x = 2 and y = 4
HelpOo
Answer:
9
Step-by-step explanation:
8-6(2)/4+2(2)
8-12/4+4
8-3+4
9 not sure though
Answer:
The answer is 9
Step-by-step explanation:
We just have to substitute the value of X and Y with 2 and 4 so...
8-6x/y +2x
=8- 6×2/4 + 2×2 (Just replaced the X and Y here)
Now we solve it
=8 - 12/4 + 4
= 32-12/4 +4
= 20/4 + 4
= 5 +4
= 9
The ____ Is the distance around a circle.
area
radius
diameter
circumference
Answer: circumference
Step-by-step explanation:
Answer:
circumference
Step-by-step explanation:
N/A
sorry it's blurry, but HELP, I'll give brainlist to anyone who answers please
Hey.!! that's the working out. Take you're time. Bring more questions where u need help.
5. Which of the following is
true statement?
5%
a. 7 < 765 <8
b. 27<3
c. 10 < 195< 11.
d. 13 < 7160 < 14
PLEASE HELP DUE IN 9 minutes!!!!
Answer:
b I'm pretty sure. its 2.645751311
what di you call the distance between a number and 0 on a number line
Answer:
absolute value
Step-by-step explanation:
an absolute value is the distance of a quantity from zero
Answer:
Step-by-step explanation:
integers between and including −5 and 5. Notice that the positive integers go to the right: 1, 2, 3, and so on. The negative integers go to the left: −1, −2, −3, and so on. The distance between a number's place on the number line and 0 is called the number's [absolute value].
Help
i need help
thanks
Answer:
D
Step-by-step explanation:
23-5=18
Given the two sets A = {a,b,c} and B = {x,y}, calculate the maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B). Give your answer as an integer, not a formula.
The maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B) is 4096.
The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.
The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. The set of all subsets of the set X is called a Power set including the null set, empty set and the set itself. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.
As per the question,
Set A = { a, b, c }Set B = { x, y }⇒ n ( A ) = 3 elements
Number of subsets of A = 2³
= 8 subsets
⇒ n ( B ) = 2 elements
Number of subsets of B = 2²
= 4 subsets
By using the product rule,
Total number of functions from P ( B ) to P ( A ) = 8 × 8 × 8 × 8
= 4096
Therefore, 4096 is the maximum number of functions that can be defined from the power set of A, P(A) to the power set of B.
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Explain whether a triangle exists with side lengths 31 m, 89 m, and 122 m.
Answer:
No
Step-by-step explanation:
The sum of the smaller sides is not bigger than the largest side, 122. ( 31 + 89 = 120 < 122)
Find the volume of the cylinder . Round to the nearest tenth. r = 5 cm 5 cm V=[?]cm^ 3
Answer:
V = 392.70 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
V = 22/7 * 5² * 5
V = 392.70 cm³
Answer: Acellus uses 3.14 for pi, so 5^2*5*3.14 is 392.5
Step-by-step explanation: 392.5
a) apply the initial and final value theorems in the above expression and determine the values of the voltage uo (t) in the time domain for t
By applying initial value theorem we can determine the values of the voltage as follows:
Procedure:-
1) Find the transfer function X(s)
2) Multiply X(s) by s
3) Take the limit of sX(s) as S goes to zero
4) Result is value of x(t) when t = infinity
\(\lim_{t \to \infty} x(t) = \lim_{s \to \o} sX(s)\)
By applying final value theorem we can determine the values of the voltage as follows:
Procedure:-
1) Find the transfer function X(s)
2) Multiply X(s) by s
#) Take the limit of sX(s) as S goes to infinity
4) Result is value of x(t) when t = 0
\(\lim_{t \to \o} x(t) = \lim_{s \to \infty} sX(s)\)
Given question is incomplete.
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Evaluate the following
1. sin(38°)
2. cos(51°)
3. tan(24°)
Answer:
1) sin ( 38 )
Decimal form:
0.61566147
2) cos (51 )
Decimal form:
0.62932039
3)tan ( 24 )
Decimal form:
0.44522868
…