The general equation of line with slope m and passing through point (x_1,y_1) is,
\(y-y_1=m(x-x_1)\)Determine the equation of line with m = -3 and passing through the point (5,-7).
\(\begin{gathered} y-(-7)=-3(x-5) \\ y+7=-3(x-5) \end{gathered}\)Answer:y+6=-2(x-4)
Step-by-step explanation:
1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
Given f(x)=½(8-2x), what is the value of f(-5)? help plez
Answer:
9
Step-by-step explanation:
f(x)=½(8-2x)
Let x = -5
f(-5)=½(8-2* (-5))
=½(8+10)
=½(18)
=9
\(\\ \tt\bull\rightarrowtail f(x)=1/2(8-2x)\)
\(\\ \tt\bull\rightarrowtail f(-5)\)
\(\\ \tt\bull\rightarrowtail 1/2(8-2(-5))\)
\(\\ \tt\bull\rightarrowtail 1/2(8+10)\)
\(\\ \tt\bull\rightarrowtail 1/2(18)\)
\(\\ \tt\bull\rightarrowtail 9\)
I need help plz help
what is the pattern 0, 3, 8, 15, 24, ( ), ( ), 63
Answer:
0, 3, 8, 15, 24, 35
Step-by-step explanation:
the logic is "Adding odd numbers in a series to the given number series". Thus, the answer is "35"
Answer:
0, 3, 8, 15, 24, 35, 48, 63
Step-by-step explanation:
This is an interesting sequence. It's recursive, it depends on the previous number. It works kind of like this.
Use the first two numbers (0 and 3) and find their difference, which is 3.
Then look at the second and third numbers (3 and 8) and find their difference, which is 5.
5 and 3 are 2 apart, so this sequence keeps going.
8 and 15 are 7 apart.
Then comes 9, 11, 13, and so on...
15 and 24 are 9 apart.
What's the missing number? After adding 9, we have to add 11, so 24+11=35 as the next number.
After that? You know what to do! 11+2=13, add 13! 35+13=48 as the next number.
This sequence goes on forever, it's like a modified Fibonacci sequence.
Please answer the question in the photo :)
Answer:
it is correct I think it's right
Step-by-step explanation:
HI can someone please help me with these 2 questions!!
The statement that is not correct is FG/RS = EF/OS, the correct option is C.
What are similar triangles?A side of one triangle = k times corresponding side of its similar triangle
where k is the scale factor, constant for one pair of similar triangles. Now when we will take their ratio, the value of k cancels out, leaving no difference between first triangle or second triangle, but only caring if they are similar or not(which depends on angles).
Thus, the trigonometric functions depend only on angles.
We are given that;
Triangles EFG and QRS are similar
Now,
Option A states that EF/QR = CE/SQ, which is true by the definition of similarity of triangles.
Option B states that FG/RS = EG/QS, which is also true by the definition of similarity of triangles.
Option D states that 4GE/SQ = FE/RQ, which is also true as corresponding sides are proportional.
However, option C states that FG/RS = EF/OS, which is not necessarily true. There is no direct relationship between side OS and triangle EFG, so the ratio FG/RS cannot be equated to the ratio EF/OS.
Therefore, by the given similar triangles answer will be FG/RS = EF/OS.
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ1
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
Find out more about weighted average ROR ,
https://brainly.com/question/9816365
#SPJ1
Given the following table with selected values of the functions f (x) and g(x), determine f (g(2)) − g(f (−1)).
x −5 −4 −1 2 4 7
f (x) 11 9 −1 −3 −7 −13
g(x) −10 −8 −2 4 8 14
A) −8
B) −5
C) −2
D) 1
Answer:
f (g(2)) − g(f (−1)) = -5
Step-by-step explanation:
Find the value for each term:
1. f (g(2)): g(2) is 4, so we get f(4), which is = -3
2. g(f (−1)): f(-1) is -1, so we get g(-1), which is = -2
Now we can write:
f (g(2)) − g(f (−1))
-3 -2
= - 5
What’s is the correct answer answer asap for brainlist
Option (c) In the given Poem "Hope is the thing with a feather" Hope symbolizes a Strong-willed bird
What is Hope in this poem?"Hope" is described by the speaker as a winged creature that resides within the human spirit. This feathered monster sings a tune without any words and never stops. Its song is most enjoyable when heard in strong gusts. This bird's chirping could only be silenced by a storm that was quite intense. Many people have experienced warmth from the "Hope" bird. The narrator has heard the song of the bird in the coldest climates and on the most unusual seas. But even in the most extreme instances, according to the speaker, the bird never demanded anything in return.
The well-known poem "Hope is the thing with feathers" by American poet Emily Dickinson was composed sometime about 1861. In the poem, "Hope" is figuratively changed into a tenacious bird that dwells inside the human soul and sings its song despite everything. The poem basically aims to remind readers of the strength of optimism and how little it demands of people. Hope, according to the speaker, has always been a comfort in trying times and has never required anything in return. The poem "Hope is the Thing with Feathers" is one of many by Emily Dickinson that reinterprets an abstract idea using novel imagery and figurative language.
Learn more about the summary of poems here:
https://brainly.com/question/19543101
#SPJ1
Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice. Write and simplify an expression for the total cost of Sal's purchases.
The expression for the total cost of Sal's purchases is 7x + 5y cents.
We know that Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice.To find the total cost of Sal's purchases we need to add the cost of the milk and the cost of the three cartons of orange juice and simplify the expression.The cost of the milk is given as (x + 2y) cents. The cost of three cartons of orange juice is (2x + y) cents each.
Therefore, the cost of three cartons of orange juice is (3 × (2x + y)) cents. To find the total cost of Sal's purchases, we add the cost of the milk and the cost of the three cartons of orange juice.(x + 2y) + (3 × (2x + y)) cents = x + 2y + 6x + 3y cents= 7x + 5y cents.
For more questions on cost
https://brainly.com/question/2292799
#SPJ8
A crane is being created by four steel members (bold) and a cable, as shown in the diagram below. It is known that AC = 10 ft. AB = 8 ft, m/A=
40°, m/ CBD-65°, and m/ D=45°.
(a) Determine the length of support member BC to the nearest hundredth of a foot.
(b) Determine the length of the cable CD to the nearest hundredth of a foot.
Using law of cosine and Pythagorean theorem, the length of BC is 18 foot and CD is 12.3 foot
What is the length of BCa) To find the length of support member BC, we can use the Law of Cosines:
BC^2 = AC^2 + AB^2 - 2 * AC * AB * cos(m/C)
where m/C is the measure of angle C. We know that m/A = 40° and m/D = 45°, so m/C must be the supplementary angle to the sum of these angles:
m/C = 180° - (m/A + m/D) = 180° - (40° + 45°) = 95°
Substituting known values into the Law of Cosines equation, we have:
BC^2 = 10^2 + 8^2 - 2 * 10 * 8 * cos(95°)
BC^2 = 100 + 64 + 160
BC^2 = 324
BC = sqrt(324) = 18
So, the length of support member BC is 18 feet to the nearest hundredth of a foot.
b) To find the length of cable CD, we can use the Pythagorean Theorem:
CD^2 = BC^2 + AC^2 - 2 * BC * AC * cos(m/A)
Substituting known values into the equation, we have:
CD^2 = 18^2 + 10^2 - 2 * 18 * 10 * cos(40°)
CD^2 = 324 + 100 - 360 * cos(40°)
CD^2 = 424 - 360 * cos(40°)
Using the cosine formula, we can find the value of cos(40°):
cos(40°) = cos(90° - 40°) = sin(40°)
And using a reference table or calculator, we find that sin(40°) = 0.766
So, substituting the value of cos(40°) back into the equation for CD^2, we have:
CD^2 = 424 - 360 * 0.766
CD^2 = 424 - 276.56
CD^2 = 147.44
CD = sqrt(147.44) = 12.3
So, the length of cable CD is 12.3 feet to the nearest hundredth of a foot.
Learn more on cosine law here;
https://brainly.com/question/4372174
#SPJ1
Help Please.
The difference between two numbers is 9. Four times the larger number plus one-half the smaller is 45. What are the numbers?
Answer:
To solve this problem, we will use the following steps:
Step 1: Let's assume that the larger number is x and the smaller number is y, we know that the difference between the two numbers is 9, so we can write the equation: x-y = 9
Step 2: We know that Four times the larger number plus one-half the smaller is 45, so we can write the equation: 4x + 0.5y = 45
Step 3: Now we have two equations with two unknowns, we can solve for one of the unknowns by isolating it in one of the equations.
x-y = 9
x = y+9
Step 4: Now we can substitute the value of x in the second equation
4(y+9) + 0.5y = 45
4y + 36 + 0.5y = 45
4.5y + 36 = 45
4.5y = 9
y=2
Step 5: We can substitute the value of y in one of the equation, to find the value of x
x-2 = 9
x = 11
Final Answer: The two numbers are 11 and 2.
Solve for p.
p - 9 > 9 or p + 10 = 10
Answer:
I don't think it's suppost to be an equal sign but this is what i got
PLEASE HELP ME! I'LL VOTE YOU BRAINLETS!
Answer:
4. w+4=s
5. Winn's sister will be 18 years old when Winn is 14.
Step-by-step explanation:
4. Winn's age + 4 years is Winn's sisters age. They are four years apart.
5. Winn's sister is 4 years older than Winn so Winn's sister will be 18 when Winn is 14.
By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P (B A) = P (A and B) P (A).
Use the information below to find the probability that a flight arrives on time given that it departed on time.
1. The probability that an airplane flight departs on time is 0.91.
2. The probability that a flight arrives on time is 0.86.
3. The probability that a flight departs and arrives on time is 0.81.
Answer:
89.01% probability that a flight arrives on time given that it departed on time.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Departing on time
Event B: Arriving on time.
The probability that a flight departs and arrives on time is 0.81.
This means that \(P(A \cap B) = 0.81\)
The probability that an airplane flight departs on time is 0.91.
This means that \(P(A) = 0.91\)
Find the probability that a flight arrives on time given that it departed on time.
\(P(B|A) = \frac{0.81}{0.91} = 0.8901\)
89.01% probability that a flight arrives on time given that it departed on time.
How many and of which kind of roots does the equation f(x)=x^3+2x^2+4x+8 have?
The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.
What kind of roots does have a cubic equation?
In this problem we have a cubic equation and the nature of their roots must be inferred according to a algebraic method.
Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an analytical method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.
The discriminant is described below:
Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² (1)
Where:
There are three distinct real roots for Δ > 0.Real roots with multiplicity greater than 1 for Δ = 0.A real root and two complex roots for Δ < 0.If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:
Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²
Δ = - 1024
The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.
To learn more on cubic equations: https://brainly.com/question/13730904
#SPJ1
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
D) infinitely many solutions
If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.
Good luck!
If you get it correct your answer will be deleted and l will message you to continue the game.
Don't play if you are not going to continue party poopers!
I won against Lisa Swensrud
Answer:
5
Step-by-step explanation:
Because when you walk in there is now 35 people 35 - 30 = 5
There are 34 people in the garden.
In order to answer the question, you've to think critically, it should be noted that even if 30 people are killed, they are still in the garden.Also, the fact that you entered the garden still makes the total number 34. Therefore, in this situation, the total number of people in the garden is 34.Read related ink on:
https://brainly.com/question/17377020
Help help help help help help
Answer:
it's a function
Step-by-step explanation:
none of the x are repeating
Answer:
its function
Step-by-step explanation:
none of the x are repetation
Complementary angles are two angles whose measures add to 90°. The ratio of the measures of two complementary angles is 4:11.
What are the measures of the angles?
Answer:
24:66
Step-by-step explanation:
Which of the following expressions demonstrates the distributive property?
O 3+ 4+ 5 = 4 + 3 + 5
O-2(5 + 7) = -2(7 +5)
O3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(
67)](-2)
Answer:
O3(-8 + 1) = 3(-8) + 3(1)
Step-by-step explanation:
GOOD LUCK WITH BRAINLY I HOPE I HELPED :)
The expressions demonstrates the distributive property is
3(-8 + 1) = 3(-8)+ 3(1).
What is Distributive Property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
We know the standard forms for distributive property as
For addition: a x (b+ c) = a x b + a x c
For Subtraction: ax (b- c)= a x b - a x c
1. 3+ 4+ 5 = 4 + 3 + 5 is Associative Property.
2. -2(5 + 7) = -2(7 +5) is Associative Property
3. 3(-8 + 1) = 3(-8)+ 3(1) is Distributive Property
Learn more about Distributive Property here:
https://brainly.com/question/5637942
#SPJ7
A transport company is greatly reducing the amount of oil it uses—but by how much? What number should be below the final barrel?
Answer:
2
Step-by-step explanation:
first nomber,
19247
second nomber,
7429
third nomber,
924
fourth nomber,
42
fifth nomber,
2
Answer:
2
Step-by-step explanation:
no. 1 is 19247
no. 2 is 7429 ,so the last four number of 19247 are reply
no. 3 is 924 ,so the last three number of 7429 are reply
no. 4 is 42 ,so the last two number of 924 are reply
no. 5 is 2,so, the last number of 42 are reply
'sign outside the parentheses:
Write an equivalent expression by distributing the "-" sign outside the parentheses
-(-3.7s - 8t) - 7.1
An equivalent expression obtained by distributing the "-" sign outside the parentheses is 3.7s + 8t - 7.1.
To distribute the "-" sign outside the parentheses, we need to change the sign of each term inside the parentheses.
Starting with:
-(-3.7s - 8t) - 7.1
We can distribute the negative sign by multiplying each term inside the parentheses by -1:
= (-1)(-3.7s) - (-1)(8t) - 7.1
Simplifying:
= 3.7s + 8t - 7.1
To learn more about the equivalent expression;
https://brainly.com/question/28170201
#SPJ1
Type the missing number in this sequence:
16, 7, __, -11, -20
-2
The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9
therefore 7-9 is -2
Hope this helped you- have a good day bro cya)
Identify whether each phrase is an expression, equation, or inequality.
What is the quote of 223,692 divided by 42
Answer:
5,326
Step-by-step explanation:
223,692 ÷ 42 = 5,326
perations on Whole NumbersT2(d) Three measuring tapes are 10, 15 and 25 m long. Find the shortest lengthwhich can be measured exactly by any one of these tapes. Som(e) Asick person has to take three types of medicines. He takes type-X in every3 hours, type-Y in every 4 hours and type-Z in every 6 hours. If he takes atypes of medicine at the same time at 6 a.m., at what time does he take athese types again at a time? 6pm(f) A book, a pen and a box cost Rs 36, Rs 45 and Rs 54 respectively. Find thesmallest sum of money with which the exact number of books, pens anboxes can be purchased. 120
(f) To find the smallest amount of money that would allow us to purchase an exact amount of any item, we need to find the Least Commom Multiple of the three values.
The first step is to factorate the numbers in their prime factors:
\(\begin{gathered} 36=2\cdot2\cdot3\cdot3 \\ 45=3\cdot3\cdot5 \\ 54=2\cdot3\cdot3\cdot3 \end{gathered}\)Then, we pick the maximum number of times that each prime factors show up and create a new number:
\(\begin{gathered} \text{number 2: 2 times} \\ \text{number 3: 3 times} \\ \text{number 5: 1 time} \\ \text{new number: 2}\cdot2\cdot3\cdot3\cdot3\cdot5=540 \end{gathered}\)So the smallest amount of money to purchase an exact number of any item is Rs 540
what is the domain of the function represented by the graph?
Answer:
option A is the answer
Step-by-step explanation:
............
a semi circle sit's on top of a retangle to form to figure below . find it's area and perimeter. use 3.14 for pi round your answer to the nearest hundredths?the width of the semi circle is 4 and the length is 3 A = 15.53 square inches p = 20.42A= 15.53 square inches p=15.71A=15.53 squre inches p= 15.71 A= 26.13 square inches p= 20.42
The area and the perimeter of the composite figure are given as follows:
Area: 14.28 squared inches.Perimeter: 14.28 inches.Total areaThe figure is composed by:
A semi-circle of diameter of 4 inches = radius of 2 inches.A rectangle of dimensions 4 inches and 3 inches.Hence the total area is given as follows:
Area = Area of semi-circle + area of rectangle.
Area of semi-circleThe area of a semi-circle of radius r is given as follows:
A = 0.5πr².
In the context of this problem, the radius is of 2 inches, hence the area is given as follows:
A = 0.5 x 3.14 x 2² = 6.28 squared inches.
Area of rectangleThe area of the rectangle is given by the multiplication of it's dimensions:
A = 4 x 2 = 8 squared inches.
Thus the total area is:
A = 8 + 6.28 = 14.28 squared inches.
PerimeterThe perimeter of the rectangle is:
Pr = 2 x 2 + 4 = 8 inches.
(sum of the outer lengths)
The perimeter of the semi-circle is:
Ps = 3.14 x 2 = 6.28 inches.
Hence the perimeter of the entire figure is:
P = 8 + 6.28 = 14.28 inches.
Missing informationThe figure is given by the image at the end of the answer.
More can be learned about the area of a figure at https://brainly.com/question/10489198
#SPJ1
Zander bought 3 hats for $7 each and 2 shirts for $9 each. How much did Zander spend
Answer: 16
Step-by-step explanation: because you add $7 and $9 together
Answer:
39
Step-by-step explanation:
If Zander bought 3 shirts you are multiplying 7 and 3 which gives you 21 so he bought 3 hats for $21 and then he spent 9 dollars on 2 shirts so 9 times 2 which gets you $18 so then you do $21+$18 which gives you the answer which is 39