Answer:
U(2, 5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let U = (x, y)
Use the midpoint formula and equate to the coordinates of M , that is
x = [tex]\frac{1}{2}[/tex] (x + 17) = 9.5 ( multiply both sides by 2 )
x + 17 = 19 ( subtract 17 from both sides )
x = 2
y = [tex]\frac{1}{2}[/tex] (y - 11 ) = - 3 ( multiply both sides by 2 )
y - 11 = - 6 ( add 11 to both sides )
y = 5
Thus coordinates of U = (2, 5 )
Answer this question please than you now by tody
Answer:
the answer is line RQ and line OP
What is the slope of the line that contains the points (0, -8) and (4, 1)?
4
OA)
9
9
B)
4
C) 4
7
OD)
4
Answer:
9/4
Step-by-step explanation:
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1--8)/( 4-0)
= (1+8)/4
= 9/4
Is the area of a semicircle with a diameter of 2x greater than, less than, or equal to the area of a circle with a radius of x?
Answer:
So that the area of circle is 2 pi x^2. So the area of a semicircle with diameter 2x is less than the are of a circle with x radius.
Step-by-step explanation:
Answer:
Less than
Step-by-step explanation:
They both have the same radius but the first one is a semi circle and the other is a full circle.
Plzzz helpppp urgenly❤️
Answer:
[tex]\mathrm{D.} \: (\frac{5}{4} )^{\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{(\frac{5}{4})^7 }[/tex]
Apply rule : [tex]\sqrt{a} =a^{\frac{1}{2} }[/tex]
[tex]((\frac{5}{4})^7 )^{\frac{1}{2} }[/tex]
Apply rule : [tex](a^b)^c=a^{bc}[/tex]
[tex](\frac{5}{4} )^{7 \times \frac{1}{2} }[/tex]
[tex](\frac{5}{4} )^{\frac{7}{2}[/tex]
A $3,000 bond has coupons at a rate 12% paid semi-annually and matures on December 1st, 2025 at $3,200. Find the practical clean and dirty book values of this bond on October 15th, 2020 to yield 6% convertible semi-annually.
Answer:
Clean price is $3,977.22
Dirty price = $4110.99
Step-by-step explanation:
We proceed as follows;
Semiannual coupon payments = $3000* 12%/2 = 6% * 3,000 = 6/100 * 3,000 = $180
Coupons are paid on 1st June and 1st December every year(semi-annually means twice a year, every 6 months)
No. of payments remaining = 11 (1 payment in 2020 on 1st December,2020 and 2 in each of the following 5 years)
Semiannual Yield = 6%/2 =3%
The clean price of the bond is given by
P = 180/1.03+ 180/1.03^2+.....+180/1.03^11+ 3200/1.03^11
=180/0.03*(1-1/1.03^11)+3200/1.03^11
=$3977.22
Dirty price = clean price +accrued interest
Accrued Interest = Interest from 1st June , 2020 to 1st December,2020
= no of days from 1st June to 15th October/no of days from 1st June to 1st December * $180
= 136/183*$180
=$133.77
So, Dirty price = $3977.22+$133.22 = $4110.99
look at image and help me please.
Answer:
-5
Step-by-step explanation:
the slope is -5
Answer:
-5
Step-by-step explanation:
The slope formula used is y=mx+b where m is the slope and b is the y-intercept.
In this case, -2/3 is the y-intercept and -5 is the slope.
What is the measure of Angle c? 3 lines intersect to form 5 angles. Clockwise, from top left, the angles are b, 90 degrees, c, 124 degrees, a.
Answer:
c
Step-by-step explanation:
Answer:the answer is 90
Step-by-step explanation:
Bill is 5 years older than Sue is, and the sum of their ages is 67 years. How old is Bill ?
Answer:
36
Step-by-step explanation:
x+5=y x - Sue age and y - Bill age
x+y=67
---------
x+x+5=67
2x=62
x=31 - Sue age
---------
y=31+5
y=36 - Bill age
Answer:
Bill is 36 years old
Step-by-step explanation:
Let Bill's age be "B" and Sue's age be "S"
Given that Bill is 5 years older than Sue, we can reason that the difference between Bill's and Sue's age must be 5 years, or:
B - S = 5 -----(eq 1)
We are also given that the sum of their ages is 67, or:
B + S = 67 -----(eq 2)
We can solve this system of equations via elimination (by adding the two equations).
(eq 1 ) + (eq2)
(B - S) + (B + S) = 5 + 67
2B = 72
B = 72/2
B = 36 years old
What is the appropriate symbol? 1.42 _____ 1.420 = < >
Answer:
=
Step-by-step explanation:
1.42 is equal to 1.420. The 0 adds no value since it is after the decimal point so 1.420 is just 1.42, which is equal to itself, 1.42.
Answer:
=
Step-by-step explanation:
When you are looking at decimals, specifically on the right side of the decimal point, the amount of 0's after the last given non-0 digit can be disregarded.
1.420 is the same as 1.42
With this given information:
1.42 ____ 1.420
1.42 ____ 1.42
1.42 = 1.42
= would be your sign.
~
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 3%, and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $487.50. How much was the hotel charge in each city before tax? First city: Second city:
Answer:
Step-by-step explanation:
Lets assume that x (First city) and x-500 (Second City)
[tex]x.\frac{3}{100} +(x-500)\frac{7.5}{100} =487.5\\\\\frac{3x+7.5x-3750}{100}=487.5\\ 10.5x=48750+3750\\10.5x=52500\\x=5000 (first city)\\5000-500(second city)\\[/tex]
You can ask me ıf you don't understand
Suppose you invest $2250 in a D that earns 3% APR and is compounded monthly. The Cd matures in 2 years. How much will this CD be worth at maturity?
Answer:
$2388.95
Step-by-step explanation:
Principal, P= $2250Annual Interest Rate, r= 3% =0.03Time, n= 2 yearsSince it is compounded monthly, Period, k= 12 MonthsThe worth of a compound deposit after a period of n years is calculated using the formula:
[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]
[tex]A(2)=2250(1+\frac{0.03}{12})^{12 \times 2}\\\\=2250(1+0.0025)^{24}\\=2250(1.0025)^{24}\\=\$2388.95[/tex]
At maturity, the deposit will be worth $2388.95.
Lara's living room is 9 meters wide and 9 meters long. She wants to install purple carpet that costs $8.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$648.00
Step-by-step explanation:
==>Given:
Squared living room of 9m by 9m
Cost of purple carpet per m² = $8.00
==>Required:
Cost of buying carpet to cover the squared living room
==>Solution:
Find the area of the room:
Area of squared room = 9m × 9m = 81m²
Find cost of purple carpet that would cover 81m²:
Let x be the cost of carpet required to cover the room.
Thus,
1m² = $8.00
81m² = x
cross multiply
1*x = 8.00*81
x = 648
Cost of purple carpet to cover the living room = x = $648.00
solve (-t-5)/3= (t-3)/5
Answer & Step-by-step explanation:
[tex]\frac{-t-5}{3}=\frac{t-3}{5}[/tex]
Cross multiply.
[tex]-5t-25=3t-9[/tex]
Subtract -3 on both sides.
[tex]-8t-25=-9[/tex]
Add 25 on both sides.
[tex]-8t=16[/tex]
Divide -8 on both sides.
[tex]t=-2[/tex]
Please answer this question fast in 2 minutes
Answer:
<5solution,
<3+<4=180°( linear pair)----> equation (i)
<4+<5=180°( linear pair)------>equation (ii)
From equation (i) and (ii)
<3+<4=<4+<5
<3=<5 (vertically opposite angles)
hope this helps...
Good luck on your assignment
How is the graph of the cosine function different from the graph of the sine function? How is it the same?
Answer:
Similarity:
In Both cosine and sine graphs, a positive and negative number vertically flips the graph and tells whether the graph starts at maximum (positive) or minimum (negative).
Difference:
The difference between the sine and the cosine graph is the point where they start.
The graph of positive cosine starts at the maximum while that of the negative cosine starts at the minimum.
The graph of a positive sine starts at the middle, goes up and then down while that of the negative sine starts at the middle goes down and then up.
If two lines meet at a right angle they are said to be _________ to each other.
Answer: perpendicular
Answer:
perpendicular
Step-by-step explanation:
If two lines meet at a right angle they are said to be perpendicular to each other.
Two lines are perpendicular when they intersect at a right angle.
Imagine a player getting ready for a tournament. He has 4 games to play during the day: 9:00 a.M., 11:00 a.M., 1:00 p.M., and 3:30 p.M. He refuses to wear shorts until temperature rises to at least +5 degrees. Based on a starting temperature of -9 degrees at 6am and an increase in temperature of 2 degrees an hour, when might he be able to change from his pants to shorts? Provide explanations why he can/can't put his shorts on for Game 1, Game 2, Game 3 and Game 4.
Answer:
by game 3(at 1:00 p.m.)
temperature increases to 5 degrees at 1:00 p.m
Five thousand tickets are sold atâ $1 each for a charity raffle. tickets are to be drawn at random and monetary prizes awarded asâ follows: 1 prize of â$500â, 3 prizes of â$300â, 5 prizes of â$30â, and 20 prizes ofâ $5. what is the expected value of this raffle if you buy 1â ticket?
Answer:
-$0.67
Step-by-step explanation:
If you buy one ticket, the possible outcomes are:
100% chance of spending $1 (buying the ticket)
1 in 5,000 chance of winning $500
3 in 5,000 chance of winning $300
5 in 5,000 chance of winning $30
20 in 5,000 chance of winning $5.
The expected value of the raffle is determined by:
[tex]E(X)=-1+\frac{1}{5,000}*500+\frac{3}{5,000}*300+\frac{5}{5,000}*30+\frac{20}{5,000}*5\\E(X)=-\$0.67[/tex]
The expected value of this raffle if you buy 1 ticket is -$0.67.
The probability that Paul wins a raffle is given by the expression n/n + 6 . What is the expression, in the form of a combined single fraction, for the probability that Paul does not win.
Answer:
The probability that he doesn’t win is 6/(n + 6)
Step-by-step explanation:
Mathematically, the probability that an event occur is 1 minus the probability that the event doe not occur.
Thus, what we are saying here is that the sum of the probabilities that Paul wins the raffle draw and he doesn’t win the raffle draw is 1
This can be mathematically expressed as;
probability that he doesn’t win = 1 - probability that he wins
Thus we have;
1- n/(n+ 6)
= [(n+ 6) -(n)]/(n+6) = 6/n+ 6
the movie is 2 hours and 15 minutes long if the movie begins at 5:30 what time will it be when the movie is over
Answer:
7:45
Step-by-step explanation:
2 hours and 15 minutes can also be written as
2:15
if the movie takes 2:15 long and begins at 5:30, add both which is. 5:30+2:15
=7:45
therefore the movie ended at 7 hours and 30 minutes which can also be written as7:45
The nth term of a sequence is n(n - 1).
What are the first four terms?
What is the 50th term?
Is 59 a term in the sequence?
Which term is 182?
The ______ th term
Answer:
T1=0
T2=2
T3=6
T4=12
T50=2450
59 is not a term in the sequence
Step-by-step explanation:
Tn=n(n-1)
182=n2 - n
0=n2 - n - 182
0=n2-14n+13n-182
0=n(n-14)+13(n-14)
0=(n-14) (n+13)
Since n cannot be negative n is not equal to -13
Therefore,
n=14
Can someone help fast please
Answer:
[tex] \frac{3a}{a-2} [/tex]
Step-by-step explanation:
[tex] \frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14} [/tex]
Factorise [tex] 2a^2 - 11a + 14} [/tex]
[tex]\frac{2a - 7}{a}*\frac{3a^2}{(2a - 7)(a - 2)}[/tex]
[tex] 2a - 7 [/tex] cancels 2a - 7
[tex] \frac{1}{a}*\frac{3a^2}{(1))(a - 2)} [/tex]
[tex] \frac{1(3a^2)}{a(a-2)} [/tex]
[tex] \frac{a(3a)}{a(a-2)} [/tex]
"a" cancels "a"
[tex] \frac{3a}{a-2} [/tex]
Thus,
[tex] \frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14} [/tex] = [tex] \frac{3a}{a-2} [/tex]
Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select three options. The GCF of the numbers in each term in the expression is 2. The GCF of the numbers in each term in the expression is 4. The GCF of the variables in each term in the expression is a. The factored form of the expression is 2 a (14 a + 18 a b). The factored form of the expression is 4 a (7 + 9 b)
Answer:
(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.
(C)The GCF of the variables(a and ab) in each term in the expression is a.
(E)The factored form of the expression is 4a(7+9b)
Step-by-step explanation:
Given the expression: [tex]28a+36ab[/tex]
If we write it as a product, we obtain:
[tex]28a+36ab=4a(7+9b)[/tex]
We can see the following
The GCF of the numbers(28 and 36) in each term in the expression is 4.The GCF of the variables(a and ab) in each term in the expression is a. The factored form of the expression is 4a(7+9b)The correct options are B, C, and E.
Answer:
b c e
Step-by-step explanation:
hope dis helps baes
E como seria a potenciação com um
número negativo na base? Será que os
parênteses são importantes como nas
outras operações? Lembre-se que
podemos representar uma potenciação
com multiplicações.
62 = 6 x 6 = 36
(-6)2 = (-6) X (-6) = ?
43 = 4 x 4 x 4 = 64
(-4)3 = (-4) x (-4) (-4)= ?
Step-by-step explanation:
(-4) x (-4) (-4)= the answer is -1
NEED ANSWER IN 2 MINUTES!
Answer: 11
Step-by-step explanation:
The stem is the 10s place and leaf is the ones
If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)
Answer:
3^x + 12x -4
Step-by-step explanation:
f(x) = 3^x + 10x
g(x) = 2x - 4,
(f + g)(x) = 3^x + 10x + 2x - 4
Combine like terms
= 3^x + 12x -4
Answer:
(f + g)(x)= 3^x +12x -4
Step-by-step explanation:
To find (f+g)(x), we must add f(x) and g(x).
(f + g)(x)= f(x) + g(x)
We know that f(x)= 3^x + 10x and g(x)= 2x-4
Therefore, we can substitute these into the equation.
(f + g)(x)= (3^x+10x) + (2x-4)
Combine like terms. Add all the terms with an x.
(f + g)(x)= 3^x + (10x+2x) -4
(f + g)(x)= 3^x +12x -4
(f + g)(x) is 3^x +12x -4
Work out angle x Triangles are not drawn to scale
Answer:
1) x = 71°, 2) x = 27°, 3) x= 32°
Step-by-step explanation:
1) Rectangle ABCD.
∠D = 90°
From ΔABE.
∠EAB +∠ABE + ∠BEA = 180°
45 + 90 +∠BEA = 180
∠BEA = 45
∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle
45 + x + 64 = 180
x = 71°
2) Δ XYZ is equilateral, all angles = 60°.
∠YZX = 60°.
∠YZW = 180°, because it is a straight angle.
∠YZX + ∠XZW= 180
60 + ∠XZW= 180
∠XZW = 120.
From ΔXZW
∠ZXW + ∠XWZ + WZX = 180
x + 33 + 120 = 180
x = 27°
3) In ΔPQR,
PQ = PR, so ∠PQR = ∠PRQ = 69°
∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.
∠PRQ + ∠PRS = 180
69 + ∠PRS = 180
∠PRS = 111°.
From ΔPRS
∠PRS + ∠RSP + ∠SPR = 180
111 + 37 + ∠SPR = 180
111 + 37 + x= 180
x = 32
Find the slope of the line that passes
through these two points.
Point 1(3,5) Point 2(4,2)
Answer:
Slope = -3
Step-by-step explanation:
(3 , 5) ; (4, 2)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-5}{4-3}\\\\=\frac{-3}{1}\\\\=-3[/tex]
Please help ASAP I’m not sure on the answers . Please give answers to both questions :)
Answer:
1.25 : 1
0.25 : 1
Step-by-step explanation:
Ratios are basically fractions and proportions
10 : 8 is equal to 10/8 or 1.25/1, so 1.25 : 1
5 : 20 is equal to 5/20 or 0.25/1, so 0.25 : 1
Help please thank you so much
Answer:
it is a function because it doesn't have two x coordinates at the same y coordinate.