Answer:
speed in still water is v=40 speed of current
Which algebraic function has a smaller rate of change than the equation?
f(x)=2x−9
1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation
PLEASE HELP!!!
Answer:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Answer:
B) add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
So you have these two equations:
2x - 4y = 6
-3x + 3y = 12
In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4
3(2x - 4y = 6)
4(-3x + 3y = 12) multiplying all the way across the equation (distributing)
We'll get
6x -12y = 18
-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.
-6x = 66 And then you are able to solve it by dividing both sides by -6 to get
x = -11
You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.
A grocery store introduced two new flavors of scones: cranberry and orange.
On the first day, 28 cranberry scones and 16 orange scones were sold.
Each day after that, 14 cranberry scones and 11 orange scones were sold.
Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all.
Step-by-step explanation:
For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are
28 42 56 70 84
Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is
16 27 38 49 60
The sum of two angles of a triangle is
110°. Calculate the third angle in
degrees.
Answer:
70
Step-by-step explanation:
the sum of all angles is 180°
so 180-110= 70
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{1}{8} < \frac{2}{7} [/tex]
1/8 < 2/7
Answer: B
#CarryOnLearning
Please help
Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Answer:
-2 12
-1 7
0 2
1 -3
2 -8
Step-by-step explanation:
[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)
-2 ___
f(-2) = 2−5x
f(-2) = 2−5(-2)
f(-2) = 2 + 10
f(-2) = 12
-1 ___
f(-1) = 2−5x
f(-1) = 2−5(-1)
f(-1) = 2 + 5
f(-1) = 7
0 ___
f(0) = 2−5x
f(0) = 2−5(0)
f(0) = 2
1 ___
f(1) = 2−5x
f(1) = 2−5(1)
f(1) = 2 - 5
f(1) = -3
2 ___
f(2) = 2−5x
f(2) = 2−5(2)
f(2) = 2−5(2)
f(2) = 2−10
f(2) = -8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.4 times every eight hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.
What is ? (Round your answer to three decimal places.)
(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.)
(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.)
(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.)
Using the Poisson distribution, it is found that:
a) Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.b) 0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.c) 0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.d) 0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.Item a:
In this problem, we are given the mean during an interval, which is a common event(1.4 every 8 hours), and intervals can be assumed to be independent, hence, the correct option is:
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.Item b:
Mean of 1.4 every 8 hours, hence, every 11 hours, the mean is:
[tex]\mu = 11 \times \frac{1.4}{8} = 1.925[/tex]
The probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1459 = 0.8541[/tex]
0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.
Item c:
The probability is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
[tex]P(X = 1) = \frac{e^{-1.925}(1.925)^{1}}{(1)!} = 0.2808[/tex]
[tex]P(X = 2) = \frac{e^{-1.925}(1.925)^{2}}{(2)!} = 0.2703[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1459 + 0.2808 + 0.2703 = 0.697[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.697 = 0.303[/tex]
0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.
Item d:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.
To learn more about the Poisson distribution, you can take a look at https://brainly.com/question/13971530
Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter
Multiply each payout by the corresponding probability, and add these up:
1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35
So one can expect to win $4.35 from playing the game.
someone please please please answer!!!
Answer:
7.07 or "5 × square root of 3"
Step-by-step explanation:
in an isosceles triangle, the longest side is equal to "x × square root of 3" while the other two sides equal x. hope this helps
What is an equation of the line that passes through the points (−3,8) and (-7, 8)
Answer:
y = 8
Step-by-step explanation:
Since the y- coordinates of the points are equal, both 8 , then
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then
y = 8 ← equation of line
It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60?
Answer:
176
Step-by-step explanation:
9.10 / 91 = 1/10
17.60 x 1/10 = 176
2. Ramona spent 20 minutes on homework on Monday, 20 minutes on Tuesday,
40 minutes on Wednesday, 30 minutes on Thursday, and 0 minutes on Friday.
What is the mean number of minutes she spent on homework?
Answer:
Ramona spent 110 minutes on homework
Step-by-step explanation:
You want to add up all the minutes spent on homework altogether.
20 +20 = 40
40 + 40 = 80
80 + 30 = 110
110 + 0 = 110
So, Ramona spent a total of 110 minutes on homework. Hope this helps!
A book club charges an initial joining fee of $30.00. The cost per book is $7.00. The graph shows the cost of belonging to the club as a function of books purchased. How will the graph change if the cost per book goes up by $1.50? (The new function is shown by the dotted line.)
Answer:
$82.50
Step-by-step explanation:
You add seven dollars to $1.50 and you would get the sum of 8.50 then you multiply the amount of books purchased. The Equation is 5($8.50) + $30.00= 82.50
Sorry if I get this wrong.
Please help me with this question. I will mark you brainliest.
Answer:
Option D : $153
This is how I got that:
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is $51
But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:
Mr. Anand must pay $153 or Option D
~That's All Folks~
-Siascon
Lamar wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 11 feet. Suppose glass costs $5 for each
square foot. How much will the glass cost to replace the window?
sa
x 5 ?
Answer:
55
55x11 = 55
(Meeting character limit)
Answer:
I believe it would be 605$
solve the sinusoidal equation:
5sin(3x)-1=3
Answer:
[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]
Step-by-step explanation:
[tex]5sin(3x)-1=3[/tex]
[tex]5sin(3x)=4[/tex]
[tex]sin(3x)=\frac{4}{5}[/tex]
[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]
[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]
A metric drawing scale of 1:100 typically depicts units in
Answer:
This usual depicts units in centi-metre
Usually Centi-(and the unit you have)
Step-by-step explanation:
Because it is 1 in 100
100 is what centi means, so centi-metre
Like centipede, an insect with 100 legs
1:100 means 1 in 100
or one centi-metre
Hope this helps!
Obet has to wrap 25 gifts for the party. He has wrapped 10 gifts already. What percentage of the task has he done?
with solution please :D
Answer:
40% is the solution 10÷25=0.40 which is well 40%
A box contains four bags of sugar. The total mass of all four bags is 6 kg. What is the mass of each bag in grams?
WORTH 50 POINTS. The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
3
Step-by-step explanation:
Find the first five terms of the sequence defined below:
Answer:
d. 7, -14, 28, -56, 112
Step-by-step explanation:
f(2) = -2(7) = -14
f(3) = -2(-14) = 28
f(4) = -2(28) = -56
f(5) = -2(-56) = 112
9
00
8-
7+
6+
5-
3+
H
-9-8-7-6-5-4-3-2
2 3 4 5 6 7 8 9
-2+
-3+.
-4+
-5+
-6+
-7+
op -
what is the slope of the graph
Answer:
-5+
Step-by-step explanation:
Slope of the line passing through the points (1, 4) and (3, 2) is -1.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through the points (1, 4) and (3, 2)
Plug in the points in the slope formula.
Slope = 2-4/3-1
=-2/2
=-1
Hence, slope of the line passing through the points (1, 4) and (3, 2) is -1.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
Use the Distributive Property to write an expression that is equivalent to 6(p+q).
The Distributive Property shows that 6(p + q) is equivalent to 6p + 6q
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. It is given by:
a(b + c) = ab + ac
Given the expression:
6(p + q)
Using the distributive property:
= 6p + 6q
Find out more on distributive property at: https://brainly.com/question/2807928
Someone please help me!
How do you find the Dilation of 1.5? Also how would you write the Algebraic representation?
Answer:
Multiply each coordinate point by 1.5, y=1.5x
Step-by-step explanation:
Try to find the slope
Answer:
-11/14.
Step-by-step explanation:
Slope =(y2-y1)/ (x2 - x1)
Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.
So slope
= (7 - (-4)/ -7-7)
= -11/14.
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Variable = 4 (1/4x) 1/Variable - 12 - 12
(Hope this helps.)
for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
The value of x that makes sense for the expression is the domain of the expression
The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense[tex]\sqrt{-2x^2}[/tex]
For the above expression to have a defined value, the expression in the bracket must be positive.
However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0
Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0
[tex]\sqrt{(-2x)^3}[/tex]
For the above expression to have a defined value, the expression in the square root must be positive.
However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0
Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense
Read more about domain at:
https://brainly.com/question/10197594
Answer: First answer = x<=0 and second answer is x<0
Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.
Look at the graph below. What is the slope of the line?
A. - 1/2
B - 2
C. 1/2
D. 2
Answer:
1/2
Step-by-step explanation:
We know two points on the line
(-1,1) and (3,3)
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( 3-1)/(3- -1)
= (3-1) /(3+1)
= ( 2/4
= 1/2
can someone please tell me these answers
Answer:
1.
m= 1; b= 4
m= -4; b= 2
m= 1; b= 0
m= 3/2; b= -9
m= -7; b= 4/5
2. C
Step-by-step explanation:
Question 1.
Your slope equation is
y=mx+b
The number before the x is your slope. The number added or subtracted after is your b.
Question 2.
Slope is rise over run.