Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true
Answer:
a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }
b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }
Step-by-step explanation:
a) As P(0) is true
we will assume that
P(2) is trueP(4) is true P(6) is truethis simply means that ; P(n) is true for all 'n' in the set
{ 0,2,4,6,8 ….. }
b) since P(0) and P(1) are true
we will assume that
P( 0+2 ) = P(2) is truealso P(1) and P(2) are true
we will assume that
P(1+2) = P(3) is trueAlso from the previous answers it can be seen that P(2) + P(3) is true
we will assume
P(2+2) = P(4) is trueThis simply means that P(n) is true for all 'n' in the set
{ 0,1,2,3,4,5 ............ }
Steven drew Rectangle EFGH. Then, he drew a translation of it, Rectangle E'F'G'H'.
Line segment FG is 3 inches. The distance from E to E' is 5 inches.
a) How long is F'G' ?
Answer:
can you show a picture
bsbsnsnd
A school principal of 890 students needs to determine what percentage of students passed and did not pass a statewide examination. Round to the nearest percent.
If 300 students passed the exam, what percent passed the test?
Answer:
34
Step-by-step explanation:
300\890
then x100
33.70786517
round to the nearest whole number
What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)
Answer:
1:2
Step-by-step explanation:
18 inches to 1 yard
We need to convert 1 yard to 36 inches
18 inches : 36 inches
Divide each side by 18
18/18 : 36/18
1:2
what is taxation ?...maths literacy grade 12
Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount
Answer:
The simple interest is of 526.
The total amount is 3156.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question, we have that:
[tex]P = 2630, I = 0.08, t = 2.5[/tex]
The simple interest is:
[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]
The simple interest is of 526.
The total amount is:
[tex]T = E + P = 2630 + 526 = 3156[/tex]
The total amount is 3156.
The diagram below shows some measurements taken from a new bridge. How long is the bridge?
feet
Answer:
1,737.3 feet
Step-by-step explanation:
Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.
Let the missing leg for each triangle be x and y respectively.
Length of bridge = x + y
✔️x = √(1115² - 860²) = √503,625
x ≈ 709.7 (nearest tenth)
✔️y = √(1340² - 860²)
y ≈ 1,027.6 (nearest tenth)
✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft
4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me
Answer:
(a)
[tex]\%Decrease= 12.5\%[/tex] --- TV
[tex]\%Decrease= 20\%[/tex] --- Laptop
(b) Laptop
Step-by-step explanation:
Given
Normal Sales
[tex]TV = 2000[/tex] [tex]TV = 1750[/tex]
[tex]Laptop = 1800[/tex] [tex]Laptop = 1440[/tex]
Solving (a): Percentage increase of decrease for both
Percentage change is calculated as:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
For TV
[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]
[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]
[tex]\%Change = -0.125* 100\%[/tex]
[tex]\%Change = -12.5\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 12.5\%[/tex]
For Laptop
[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]
[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]
[tex]\%Change = -0.2* 100\%[/tex]
[tex]\%Change = -20\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 20\%[/tex]
Solving (b):
Laptop has the best reduced price because it has a larger percentage decrease
Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple
Answer:
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
Step-by-step explanation:
Given
[tex]Purple = 18[/tex] [tex]Green = 34[/tex] [tex]White = 14[/tex]
[tex]Blue = 26[/tex] [tex]Black = 8[/tex]
Required
Probability of first selecting white and then selecting purple
The total boxes is:
[tex]Total = 18+34+14+26+8[/tex]
[tex]Total = 100[/tex]
The probability is represented as:
[tex]P(White\ and\ Purple)[/tex]
And the solution is:
[tex]P(White\ and\ Purple) = P(White) * P(Purple)[/tex]
[tex]P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}[/tex]
[tex]P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}[/tex]
[tex]P(White\ and\ Purple) = \frac{14*18}{100*100}[/tex]
[tex]P(White\ and\ Purple) = \frac{252}{10000}[/tex]
[tex]P(White\ and\ Purple) = 0.0252[/tex]
or
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
Write an equation for this tape diagram 6th grade math help pls thanks if you do
Answer: x(15x)
Step-by-step explanation:
On a BWIA flight, 2/3 of the
passengers are from Trinidad.
If there are 189 passengers
altogether, how many were
from Trinidad?
Answer:
126 passengers from Trinidad.
Step-by-step explanation:
Given that,
On a BWIA flight, 2/3 of the passengers are from Trinidad.
Total passengers = 189
We need to find how many were from Trinidad. It can be calculated by finding 2/3 of 189 such that,
[tex]P=\dfrac{2}{3}\times 189\\\\=126[/tex]
Hence, there were 126 passengers from Trinidad.
A salt shaker company produces salt shakers of various heights they create a table showing how many salt Greynolds each size salt shaker holt does the star represent a proportional relationship click on the correct response then answer the question below
Find the value of x.
Answer:
x = 1.8
Step-by-step explanation:
7x = 17x - 18
bring all x values to a side
7x -17x = -18
-10x = -18
divide by -10
x = 9/5 = 1.8
The value of x is 6.
We know from Mid point theorem
The Midpoint Theorem, also known as the Midsegment Theorem, states that in a triangle, the line segment connecting the midpoints of two sides is parallel to the third side and is half its length.
So, from the figure we can write
7x = 1/2 (17x - 18)
7x (2) = 17x - 18
14x = 17x - 18
By subtracting 17x from both sides to eliminate the x term on the right side:
14x - 17x = 17x - 17x - 18
-3x = -18
Next, divide both sides of the equation by -3 to solve for x:
(-3x) / -3 = (-18) / -3
x = 6
Learn more about Mid point theorem here:
https://brainly.com/question/13677972
#SPJ6
In the Special Right Triangle below, solve for the value of x. X = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
Step-by-step explanation:
It's a 30-60-90 triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 90° angle is 12√3, so the side opposite the 30° is (12√3)/2 = 6√3.
The side opposite the 60° angle is (6√3)√3 = 18
x = 18
y = 6√3
Answer:
x = 18
y = 6√3
Step-by-step explanation:
<3
Can you help me here is the inage
Answer:
150x=y
Step-by-step explanation:
2x150=300
4x150=600
6x150=900
8x150=1200
The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3 for i.
A)
12 feet
B)
24 feet
C)
36 feet
D)
48 feet
help me with this please
number
10
Answer:
B. Trinomial
Step-by-step explanation:
A trinomial has three terms
The three terms are 2x^2, 3x, -2
help 20 points on the line real answer plz!!
Step-by-step explanation:
D makes the most sense to me hopefully this helps
Answer:
24 cubic in
Step-by-step explanation:
Hope this helps UwU
g(x) = 2x^4 +5x^3– x^2 +5x– 1
List the possible factors of g(x).
Answer:
That's the answer look at the picture
If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year
Answer:
$102
Step-by-step explanation:
2% of $100 = 0.02 * $100 = $2
The increase is $2.
$100 + $2 = $102
Answer: $102
Answer:
100 x 0,2 x 1 year(12/12 months)
=$102 after a year
By what percent will a fraction increase is decreased by 10% and its denominator is decreased by 50%
Answer:
Let's assume the fraction is 1/1
decreasing 1 by 10% = .9
decreasing 1 by 50% = .5
So the fraction becomes .9/.5 = 1.8
So its value increases by 180%
Step-by-step explanation:
Form a paragraph proof for the following. Make sure you include all the
explanations.
HELP ASAP PLS
Answer:
Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent
I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.
PLEASE HELP!!!! ILL GIVE BRAINLIEST!
Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation.
Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut
Step-by-step explanation:
So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other
Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more
Marking brainliest!!
What should I put for the second question? I am confused. HELPP
if other experts state the same thing in their own paper or document.
Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD
Answer:
c) inversely
Step-by-step explanation:
In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.
Mathematically, an inverse relationship is given by the formula;
A = K/B
Where;
A and B are the variables.
K is the constant of proportionality.
Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.
2) Apply the distributive property to solve the following.
(15 + 12) - 5
Answer:
Answer:
22
Step-by-step explanation:
15+12=27
27-5=22
A bag contains three yellow tickets numbered on to three. The bag also contains four green tickets numbered one to four. What is the probability of randomly picking a ticket that is yellow or has an even number?
Answer:
6/7
Step-by-step explanation:
yellow = 3
even =3
3+3=6
n(s)=7 so 6/7
Write an equation of the line that passes through the points (1, 2) and (4, 8)
Answer:
y = 2x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 8)
m = [tex]\frac{8-2}{4-1}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2 )
2 = 2 + c ⇒ c = 2 - 2 = 0
y = 2x ← equation of line
Answer:
2x-y=0 / y=2x
Step-by-step explanation:
6x-3y=0, 2x-y=0
a ramp was constructed to load a truck. if the ramp is 10 ft long and the horizontal distance from the bottom of the ramp to the is 8 ft, what is the height from the ground to the top of the ramp?
Help Please!!!
Thanks
Answer:
d i hope please be d please please