Answer:
Step-by-step explanation:
the set is : {1,2} the power is 2²
20. The sum of two consecutive odd numbers is 72. Find the numbers.
Answer:
35 and 37
35+37=72
Hope this helped.
Answer:
Step-by-step explanation:
either n=17
or The two odd numbers are 35 and 37
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B u C)
We are provided with ;
[tex]{\sf{U=\{English,\: French,\: History,\: Math,\: Physics,\: Chemistry,\: Psychology,\: Drama\}}}[/tex] [tex]{\sf{A=\{Math,\: History,\: Chemistry,\: English\}}}[/tex] [tex]{\sf{B=\{Psychology,\: Drama,\: French,\: Chemistry,\: English\}}}[/tex] [tex]{\sf{C=\{Physics,\: History,\: French\}}}[/tex]And we need no find [tex]{\bf n(B\cup C)}[/tex] . At first Let me tell you that here [tex]{\sf (B\cup C)}[/tex] represents the union of the set B and C.And [tex]{\sf n(B\cup C)}[/tex] represents the cardinal no. of the respective set or no. of elements present in the respective set.So let's find the set [tex]{\sf (B\cup C)}[/tex] first
[tex]{:\implies \quad \sf B\cup C=\{Physics,\: Drama,\: French,\: Chemistry,\: English,\: Psychology,\:History\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n(B\cup C)=7}}}[/tex]
Alternative Method :-As we know that ;
[tex]{\boxed{\bf n(A\cup B)=n(A)+n(B)-n(A\cap B)}}[/tex]Where [tex]{\sf (A\cap B)}[/tex] is the Intersection of A and B or the set of common elements of A and B. So now by same concept , now finding the intersection of B and C :-
[tex]{:\implies \quad \sf B\cap C=\{French\}}[/tex]
So , [tex]{\sf n(B\cap C)=1}[/tex] . Now , putting the values in the formula;
[tex]{:\implies \quad \sf n(B\cup C)=n(B)+n(C)-n(B\cap C)}[/tex]
[tex]{:\implies \quad \sf n(B\cup C)=5+3-1}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n(B\cup C)=7}}}[/tex]
Maria has 2 dollars, 3 dimes, and 4 pennies. Lisa has 1 dollar and 5 quarters. How much money do the
two girls have in all?
Answer:
The total will be 4.59. Since we have 2 dollars and then we have 3 dimes which a dime is equal to 10 cents, it is now 2 dollars and 30 cents. Now we have the 4 pennies, which a penny is 1 cent. So we have 2 dollars and 34 cents. Now we have a dollar and 5 quarters. A quarter is equal to 25 cents. So 4 quarters is equal to 1 dollar. So it will be 2 dollars and 25 cents for the other quarter that we have. Now we add 2.34 and 2.25 which we get 4.59 dollars(i tried my best ok).
Quick equation:2d+3(10)+4(1)=$2.34
2d+5(25)=$2.25
write an algebraic expression to answer each question do this on a sheet of paper
let z be father's age now
A.What will be his age after 10 years?
B.What was his age 2 years ago?
C.What was his age 7 years ago
Hello.
In 10 years, his age will be
[tex]\mathrm{z+10}[/tex]
The sum of his current age and 10 equals his age in 10 years.
2 years ago his age was
[tex]\mathrm{z-2}[/tex]
The difference of his current age and 2 equals his age 2 years ago.
7 years ago his age was
[tex]\mathrm{z-7}[/tex]
The difference of his current age and 7 equals his age 7 years ago.
Therefore, his age after 10 years will be [tex]\mathrm{z+10}[/tex], his age 2 years ago was [tex]\mathrm{z-2}[/tex], and his age 7 years ago was [tex]\mathrm{z-7}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
z+10
z-2
z-7
Step-by-step explanation:
hope it helps
A rectangular lot is 150 yards long and 100 yards wide. Give the length and width of another rectangular lot that has the same perimeter but a smaller area. width = yards Х 5 ? length = yards
Answer:A rectangular lot is 100 meters wide and 150 meters long.Give the length and width of another rectangular lot that has the same perimeter but a smaller area.
The rectangular lot is having length of 170 meters and width of 80 meters.
Use a conversion factor to solve.
1,000 mg
1g
mg
3.75 grams
Answer:
266.7
Step-by-step explanation:
The curve above is the graph of a sinusoidal function. It goes through the points (-9,-4) and (5,-4) Find a sinusoidal function that matches the given graph. I’d needed, you can enter pi=3.1416.... as pi in your answer, otherwise use at least 3 decimal digits.
Which loan will cost its holder the most in interest?
A. $10,000 at 2 percent interest compounded for four years
B. $10,000 at 2 percent simple interest for four years
C. $5,000 at 4 percent simple interest for four years
D. $5,000 at 4 percent interest compounded for four years
Answer:
D. $5,000 at 4 percent interest compounded for four years
Hope this helps :)
The loan that will cost its holder the most in interest is option D. $5,000 at 4 percent interest compounded for four years.
To calculate the interest for each option, with the use of the relevant interest formulas.
For option A, compounded interest, by the use of the formula:
[tex]CI =A -P\\CI=A = P(1 + r/n)^{nt} - P[/tex],
where:
A is the final amount,CI is the compound interest P is the principal, r is the interest rate, n is the number of times interest is compounded per year t is the number of years.Plugging in the values, gives:
[tex]C.I= 10,000(1 + 0.02/1)^{(1\times4)} - 10,000[/tex]
By adding the value in the bracket gives:
[tex]C.I= 10,000(1 .02)^{4} - 10,000[/tex]
To evaluate [tex](1.02)^4[/tex], raise 1.02 to the power of 4 gives:
[tex](1.02)^4 \approx 1.082432[/tex]
Substituting this value back into the expression:
[tex]CI\approx10,000 \times 1.082432- 10,000[/tex]
On multiplication gives:
[tex]CI\approx10824.32- 10,000[/tex]
On subtraction gives:
[tex]CI\approx 824.32[/tex]
2. For option B, simple interest, by the use of the formula
[tex]SI = Prt[/tex]
where:
SI is the simple interest, P is the principal,r is the interest rate t is the number of years.Plugging in the values, we get:
[tex]SI = 10,000\times( 0.02\times4)[/tex]
By multiplying the value in the bracket gives:
[tex]SI = 10,000\times 0.08[/tex]
On multiplication gives:
[tex]SI = 800[/tex]
For option C, simple interest formula
[tex]SI = Prt[/tex]
where:
SI is the simple interest, P is the principal,r is the interest rate t is the number of years.Plugging in the values, we get:
[tex]SI = 5,000\times( 0.04\times4)[/tex]
By multiplying the value in the bracket gives:
[tex]SI = 5,000\times 0.16[/tex]
On multiplication gives:
[tex]SI = 800[/tex]
For option D, compounded interest, we get:
A = 5,000(1 + 0.04/1)^(1*4) - 5,000 ≈ $6,181.73
For option D, compounded interest, by the use of the formula:
[tex]CI =A -P\\CI=A = P(1 + r/n)^{nt} - P[/tex],
where:
A is the final amount,CI is the compound interest P is the principal, r is the interest rate, n is the number of times interest is compounded per year t is the number of years.Plugging in the values, gives:
[tex]C.I= 5,000(1 + 0.04/1)^{(1\times4)} - 5,000[/tex]
By adding the value in the bracket gives:
[tex]C.I= 5,000(1 .04)^{4} - 5,000[/tex]
To evaluate [tex](1.04)^4[/tex], raise 1.04 to the power of 4 gives:
[tex](1.04)^4 \approx 1.1699[/tex]
Substituting this value back into the expression:
[tex]CI\approx5,000 \times 1.1699- 5,000[/tex]
On multiplication gives:
[tex]CI\approx5,849.2928- 5,000[/tex]
On subtraction gives:
[tex]CI\approx849.2928[/tex]
Comparing the final loan interest, option D has the highest value, indicating that it will cost its holder the most in interest.
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Are 5n + 9 + n and 3(2n + 9) equal expressions use substitution to take your answer
Answer: They are not equal expressions
Since this asks to solve by substitution, I will substitute with the number 2:
5n + 9 + n
5(2) + 9 + (2)
10 + 9 + (2)
21
-
3(2n + 9)
3(2(2) + 9)
3(4 + 9)
3(4 + 9)
39
The answer is no, because 21 ≠ 39
On the grid, A(-3,1), B(1,-2), and C(4,2) are connected. Kaire claims triangle ABC is a right isosceles triangle.
Answer:
Yes its an isosceles triangle but not a right angle triangle.part A:
[tex]\sf AB^2 = (-2-1)^2 + (1+3)^2[/tex]
[tex]\sf AB^2 =25[/tex]
[tex]\sf AB =5[/tex]
[tex]\sf AC^2 = (2-1)^2 + (4+3)^2[/tex]
[tex]\sf AC^2 = 50[/tex]
[tex]\sf AC = 5\sqrt{2}[/tex]
[tex]\sf BC^2 = (2--2)^2 + (4-1)^2[/tex]
[tex]\sf BC^2 = 25[/tex]
[tex]\sf BC = 5[/tex]
Two sides are equal in the triangle of 5. Its an isosceles triangle.
part B:
if right angle triangle, then use the formula:
short side² + short side² = long side²
( 5√2 )² + 5² = ( 5√2 )²
75 = 50
Therefore, its not a right angle triangle.
Tom bought a soft drink for 4$ and 4candy bars. He spent a total of 12$ him Mitch did each candy bar cost
Answer:
$2 each
Step-by-step explanation:
Find the length of the side of a square with an area of 121 in
A. 484 in
B. 30.25 in
C. 11 in
D. 6.5 in
Answer:
C. 11
Step-by-step explanation:
Formulate
[tex]\sqrt{121}[/tex]
Calculate
[tex]121\frac{1}{2}[/tex]
Simplify using [tex]a^{\frac{n}{m} }=\sqrt[m]{a^{n} }[/tex]
[tex]\sqrt{121}[/tex]
Factor and rewrite the radicand in exponential form
[tex]\sqrt{11^{2} }[/tex]
Simplify the radical expression
[tex]11[/tex]
I hope this helps you
:)
The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest form.
Answer:
x = 21/8
Step-by-step explanation:
So 8 is being multiplied by something to get to 21
So 8x = 21
Solve for x:
8x = 21x = 21/8-Chetan k
A 6 miles
B 8 miles
C 4 miles
D 2 miles
Answer:
A 6 miles
Step-by-step explanation:
3m+6=24 3m=18 m=6 So mike traveled 6 miles by taxi
Considering an arbitrary number system with the independent digits as 0,1 and x. What is the radix of the number system
Using it's concept, it is found that the radix of the arbitrary number system is of 3.
What is the radix of a number system?It is the number of different digits that the system has, for example:
The binary system has radix 2, as it has digits 0 and 1.The decimal digit has radix 10, as it has 10 digits from 0 to 9.In this problem, the digits are 0, 1 and x, hence the radix of the arbitrary number system is of 3.
More can be learned about the radix of a number system at https://brainly.com/question/12569036
determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
HELP QUICK!!!!
flip over y-axis, move down 3 units, then dilate by a factor of 1/2 with respect to A.
Why is this system no solution?
2y = 7 x -3
y = -2
Step-by-step explanation:
solved using substitution method
Which of the following statements shows the distributive property?
A. 5(4-2) = 20 - 10
B. 5+ (4 - 2) = 20 - 10
C. 5(4-2) = 9 - 7
D. 5+(4 - 2) = 9+3
how do I solve this, pretty urgent please.
Answer:
1Step-by-step explanation:
Substitute:
[tex]x^{0.5} = y[/tex]Then the expression becomes:
[tex](\dfrac{1+y^3}{1-y+y^2}-y) \dfrac{1-y^2}{1-y} -y=\\[/tex][tex](\dfrac{(1+y)(1-y+y^2)}{1-y+y^2}-y) \dfrac{(1-y)(1+y)}{1-y} -y=[/tex][tex](1+y-y)(1+y)-y=[/tex][tex]1(1+y)-y=[/tex][tex]1+y-y=[/tex]1The result is 1 regardless the value of x other than 1.
HbUhgghbjhgbijhnh(uhgbuygbuyg..
Answer:
5
Step-by-step explanation:
u gotta add the H's with The U's and then ye
in a class of 40 students each student plays one indoor game such as ludu,card or oware. Ludu is played by 18, oware is played by 20, while card is played by 27, seven students play ludu and oware, twelve students play oware and card and four students play ludu, card and oware.
Determine how many students play.
(i) Ludu and card
(ii)Ludu and card but not oware.
Answer:
35 Learner's who plays ludu and cards
A college student takes out a $7500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe after 1 year, if the bank charges 3.8% interest each year? after 1 year, if the bank charges 7.6% interest each year? after 2 years, if the bank charges 3.8% interest each year?
Answer:
Atter 1 year 28,500
After 2 years 57,00
Step-by-step explanation:
7500 x 3.8=28,500
7500 x 7.6=57,000
Which of the following set ordered pairs represents a function? Select all that apply.
keeping in mind that a function set doesn't have any X-repeats, or namely the x-coordinate of every pair doesn't repeat, let's check these sets.
Check the picture below.
Graph each of the functions to determine whether it passes the vertical line test.
Set #a is a function
Set #b is not a function
Set #c is a function
Set #d is a function
what is a function?A function is an equation with a single solution for y for each value of x. Each input of a particular type receives exactly one output when using a function.
given set of ordered pairs represents a function.
from the verticle line property of a function which states that It would be a function of all vertical lines intersecting it at minimum once. This is also called a vertical line test. A graph will be considered as a function if it has only one output y for each input x. Therefore, a vertical line cannot be a function.
In the given Sets Option b has two values at x = 1/2 hence it fails the verticle line test.
therefore, Option a, c, and d only satisfy the requirement of a function.
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Solve the measurement conversion problem. 1 kg=1,000g
The ice cream shop was running low on sprinkles. The shop only had 200 grams of sprinkles . They ordered a 2.5-kilogram jar to restock. If they use 100 grams per week , how many weeks will it be until they run out of sprinkles ?
A) 270 weeks
B) 250 weeks
C) 27 weeks
D) 25 weeks
Find the value of x in a circle 3x, 7x+10
Answer:
you collect the like terms then your answer should be10x=10 consult a tutor because he or she may know better than me
What is the product of (-a + 3)(a + 4)?
Answer:
-a^2-a+12
Step-by-step explanation:
thats the product of (-a + 3)(a + 4)
Which is a coefficient in this expression? 12−25(1−4)
Answer:
25
Step-by-step explanation:
A coefficient is a number multiplied by a variable and in this case the variable would be (1-4).
The number being multiplied by the variable is 25.
Juan is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old
are they now?
please hurry .The side of Mr. Miller’s barn has a length of 27 feet and an area of 656.1 square feet. How wide is the side of Mr. Miller’s barn?
Answer:
24.3
Step-by-step explanation:
area of a rectangle =length*width
if we know at least the 2 quantities already
total area = 656.1
and one of the sides = 27
we have to divide the are by one of the sides to get the remaining side
width = area/length
656.1 divided by 27 equals 24.3
Answer:
24.3 he was rii i got my answer frm here
Step-by-step explanation:
Help me please I know it’s not C please help me out !!!!!
Answer:
b
Step-by-step explanation:
The following radical phrase should be non-negative.
x - 3 ≥ 0
