Answer:
y = 2.2x
Yes, it represents a linear function
Step-by-step explanation:
Given that :
Stopper applied at t = 0
At t = 5 minutes ; water in tub = 11 gallons
At t = 10 minutes ; water in tub = 22 gallons
General form of a linear function :
y = mx + c
Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively
The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0
Slope = change in y / charge in x
Slope = (22 - 11) / (10 - 5)
Slope = 11 / 5
Slope = 2.2
Hence ;
y = 2.2x + 0
y = 2.2x
Yes, it represents a linear function
Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line
Answer:
The equation in slope-intercept form will be:
y = -2x + 14Step-by-step explanation:
Given
slope = m = -2point (5, 4)We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope of the line and b is the y-intercept
substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'
y = mx+b
4 = -2(5) + b
4 = -10 + b
b = 4+10
b = 14
now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept
y = mx+b
y = -2x + 14
Therefore, the equation in slope-intercept form will be:
y = -2x + 14Ms. De la rosa wants to make a homemade slime solution to play with her friends A slime recepie she found requiers 5/3 of war water for every 1/3 cups of glue if she has 2/4 cup of soap how many cups of warm water will she need
Answer:
5/2 cups of warm water
Step-by-step explanation:
Recipe for homemade slime solution
Warm water : cups of soap
5/3 : 1/3
if she has 2/4 cup of soap how many cups of warm water will she need
Let
x = cups of warm water she will need
Warm water : cups of soap
x : 2/4
Equate the two ratios
5/3 : 1/3 = x : 2/4
5/3 ÷ 1/3 = x ÷ 2/4
Cross product
5/3 * 3/1 = x * 4/2
15/3 = x * 2
5 = 2x
Divide both sides by 2
x = 5/2 cups
She will need 5/2 cups of warm water
PLEASE HELP WILL MAKE YOU BRAINLIEST!!!!!!!!!!!NEED HELP ASAP!!!!!20 POINTS!!!!
Answer:
um...there's nothing there to answer
Step-by-step explanation:
Given: AB || DC, AB CD
DA
Prove: ABC CDA
Determine the value.
A)-2
B)2
C)
1/2
D)-1/2
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Answer:
means it is your as u know u are a ashile
this property says you can rewrite 3x(4+5) as (3x4) + (3x5)
Reciprocal for 14/16
Answer:
ghg
Step-by-step explanation:
ghhg
Answer:
The reciprocal is 16/14
20 or 30 points-
I need help
Answer:
Step-by-step explanation:
03. as a percent is 30%
1.5% as a decimal is 0.75
3/4 x 80 is 60.
4 2/3 divided by 1/2 is 1.5...
Answer:
27 = 30%
28 = 0.15
29 = 60
30 = 14
Step-by-step explanation:
When you convert a decimal to a percentage, if it is set up with "0." in front, then just swap the number behind the decimal and put it in front of the zero and add a percentage sign. When converting a percentage to a decimal, you reverse the process. Then the others are simple multiplication and division! Remember, when you're dividing a fraction, use the process "KCP" (keep change flip) where you keep the first fraction in the equation, change the division sign to a multiplication sign, and flip the next fraction. (ex. 1/2 flipped to 2/1.) Then just multiply.
There are 52 cards in a standard deck: 13 hearts, 13 clubs, 13 diamonds , and 13 spades. Timothy draws four cards at random from the deck, one of each suit. If he draws again , without replacing the four he drew, what is the probability that the next card is a heart
Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Total number of cards in a standard deck = 52
Number of hearts in the deck = 13
Number of clubs in the deck = 13
Number of diamonds in the deck = 13
Number of spades in the deck = 13
Four cards are drawn at random by Timothy.
These four cards are drawn from each one of the suits.
And the cards are not replaced.
Therefore, now cards remaining in each suit:
Remaining number of hearts in the deck = 12
Remaining number of clubs in the deck = 12
Remaining number of diamonds in the deck = 12
Remaining number of spades in the deck = 12
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, number of favorable cases are 12 (i.e. number of hearts)
Total number of cases = 12 [tex]\times[/tex] 4 = 48
Therefore, the required probability is:
[tex]\dfrac{12}{48} = \bold{\dfrac{1}4}[/tex]
A rive is 10 ft wide.Two boats start to move towards each other from opposite river banks.In one minute the first boat goes 2 feet and the second one goes 1 foot.What would be the distance between the boats after 1 minute?
Answer:
The distance between the boats after 1 minute is 17 ft
Step-by-step explanation:
Here, we want to calculate the distance between the boats after 1 minute
The distance covered by the first boat after 1 minute is 2 feet while for the second it is 1 foot
So for the first boat, it has 8 ft ahead, for the second boat, it has 9 ft ahead
So the distance between the two after 1 minute will be 9 ft + 8 ft = 17 ft
Nemo wrote two correct variable expressions to represent the phrase "the product
of a number and 7." Which variable expressions could Nemo have written?
The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."
We have,
Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":
= 7x
In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).
Both expressions are equivalent and correctly represent "the product of a number and 7."
Thus,
The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
Find the value of x 105,160,110,105,115
Answer:
dzxfchgjvhkbjl
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y>2x=+12
2x+y≤-5
Answer:
We have the system:
3y>2x+12
2x+y≤-5
The first step will be to write the inequalities as lines:
y > (2x + 12)/3
y ≤ -5 - 2 x
Now that the equations are written in slope-intercept form, we just need to draw the lines.
In the first case, we have the symbol ">", which means that the line will be a dashed line, and the shaded area will be above that line.
In the second equation we have the symbol "≤", this means that the line will be a solid line, and the shaded area will be below that line.
The graph of both inequalities is shown below. Where the solution to the system is the double shaded area.
Answer:
Thanks to Facundo doing all the work, all I did was plug in the numbers on a graphing calculator.
Step-by-step explanation:
Using the graphing calculator, "y>(2x+12)/3" has points at (-6,0) and (0, 4) and isn't shaded because there isn't a line under the greater than/less than sign.
Using the graphing calculator again, we plug in the inequality "y≤-5-2x". This has points at (-5, 0) and (0, -5) and is shaded because there is a line under the greater than/less than sign. A picture of this is attached.
Again, thank you Facundo. Refer to his explanation to find out how to make the inequalities lines.
Please rate this to give me feedback if this kind of format is good for answering questions.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)
Answer:
(3,0)
Step-by-step explanation:
y= 2/3x - 2 ... (1)
y= -x+3 ... (2)
First, change the equations into normal equation form
(1): - 2/3x + y= - 2
(2): x+y= 3
(1)×3: - 2x+3y= - 6 ... (3)
(2)×2: 2x+2y= 6 ... (4)
(3)+(4): 5y=0
y= 0
Substitute y=0 into any equation
Let's say, equation (2)
y= -x+3
0= -x+3
-3= -x
x= 3
(x,y)= (3,0)
Which symbol represents "and" in a truth table?
Answer:
The symbol that is used to represent the AND or logical conjunction operator is ∧. It looks like an inverted letter V. If we have two simple statements P and Q, and we want to form a compound statement joined by the AND operator, we can write it as: P ∧ Q \large{P \wedge Q} P∧Q.
Step-by-step explanation:
Answer:
the answer is ^
Step-by-step explanation:
i just took the test
Xavier starts 5 feet away from a motion detector. He then walks away from the detector at a rate of 0.5 ft/sec for 4 seconds. He remains still for 2 seconds, and then walks toward the detector at a rate of −2 ft/sec for 3 seconds. How far in feet is Xavier from the motion detector when he finishes his walk?
Answer:
1 foot away from motion detector
Step-by-step explanation:
Given that:
Initial Position = 5 feets away from detector
Distance moved away = 0.5ft/sec for 4 seconds ; distance moved away = 0.5 * 4 = 2 feets
Total distance away = 5 feets + 2 feets = 7 feets
Distance moved towards motion detector :
-2 ft/sec for 3 seconds ;
Distance = speed * time
Distance moved = (-2ft/sec * 3) = - 6 feets
Hence, distance in feets from motion detector :
7 feets - 6feets = 1 feet away from motion detector
.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y<3x+5,y=3x+5 or y >3x+5..
Answer:
y < 3x + 5: No
y = 3x + 5: No
y > 3x + 5: Yes
Step-by-step explanation:
You can just put the value of x which is (-2) into each equation to see if the y value would be 4.
y < 3x + 5
y < 3(-2) + 5
y < -6 + 5
4 < -1 (This equation is wrong, so the point does not satisfy this equation)
y = 3x + 5
y = 3(-2) + 5
y = -6 + 5
4 = -1 (This equation is wrong, so the point does not satisfy this equation)
y > 3x + 5
y > 3(-2) + 5
y > -6 + 5
4 > -1 (This equation is correct, so the point does satisfy the equation)
27-3+4 divided by 2•3 to the second power
Item 3
POSSIBLE POINTS: 1
Solve for x in the given isosceles triangle.
(Hint: You will not need to use all three sides!)
x =
Answer: 44.5
Hope this helps :)
The sum of two numbers is 10. The difference is 2.
Find the two numbers by creating a system of equations for the situation.
Then, graph each linear equation.
HELP
Answer:
x+y=10
+-y=2
Step-by-step explanation:
Use elimination to cancel out the y then continue to solve
A cable television provider charges $75 for installation and $39.96 per month for a basic entertainment package. a satellite television provider offers free installation and charges $13.32 per month for service for each television. your neighbor subscribes to the cable provider the same month you subscribe to the satellite provider. after how many months is your neighbor's total cost the same as your total cost when you own three televisions?
The total cost will never be same for me and my neighbor.
Let us assume the number of months when cost will be equal for both me and my neighbors be x.
So, my cost of cable = Cost per month per television × number of televisions × number of months
My cost of cable = 13.32 × 3 × x
My cost of cable = 39.96x
Cost of cable for my neighbor = One time installation cost + Cost per month × number of months
(Assuming neighbor has 1 television as the number is not specified)
Cost of cable for my neighbor = 75 + 39.96 × x
Cost of cable for my neighbor = 75 + 39.96x
We need to equal the cost for both, so relating the equation -
39.96x = 75 + 39.96x
It is clear that equation can not be solved for the value of x. Hence, it can be concluded that cost of cable for me and my neighbor will never be equal. Also, my cost of cable will always be less.
Learn more about calculations on cable cost -
https://brainly.com/question/21335667
#SPJ4
Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a scale factor of 2
what will be the resulting effect on the perimeter of the new playground?
The perimeter of the new playground will be half the perimeter of the original playground
The perimeter of the new playground will be 1/4 the perimeter of the original playground
The perimeter of the new playground will be twice the perimeter of the original playground
O The perimeter of the new playground will be four times the perimeter of the original playground
Answer:
We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Step-by-step explanation:
We know that the perimeter of a rectangle = 2(l+w)
i.e.
P = 2(l+w)
Here
'l' is the length'w' is the widthGiven that the length and width of the playground by a scale factor of 2
A scale factor of 2 means we need to multiply both length and width by 2.
i.e
P = 2× 2(l+w)
P' = 2 (2(l+w))
= 2P ∵ P = 2(l+w)
Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Answer:
I think it is the 3rd one The perimeter of the new playground will be twice the perimeter of the original playground
Step-by-step explanation:
give brainliest plz
The vertices of a polygon are shown below.
P(1, 3), Q(–2, 3), R(–4, 1),S(–4, –3), T(–2, –5), U(1, –5), V(3, –3),W(3, 1)
Which polygon has these vertices?
On a coordinate plane, 6 points are plotted and labeled hexagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 6 points are plotted and labeled octagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 8 points are plotted and labeled hexagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
On a coordinate plane, 8 points are plotted and labeled octagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
Answer:
The Answer is C
Step-by-step explanation:
This applies to your exam.
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. How many inches of snow fall in 6 1/2 hours?
Answer:
12.2 inches of snow ... sorry if its incorrect
Step-by-step explanation:
Answer:
13 inches of snow would fall in 6 1/2 hours.
Step-by-step explanation:
We can apply a point system:
In zero hours, zero inches of snow would fall. (0,0)
In two hours, four inches of snow would fall. (2,4)
Since the rate of the snowfall is linear (steady), we could create a linear equation.
y = 2x, where x is the time in hours and y is the snowfall in inches.
We need to figure out what y would equal if x = 6.5 (6 1/2 hours).
Plugging in x = 6.5 in our equation:
y = 2 * 6.5
= 13
Hope this helps!
The graph of g(x) = 3|x|+ 4 maps a person’s path from their house to school, and their path from school to a friend’s house. At what point is the school located?
Answer:
I think the school is located at (0,4).
Step-by-step explanation:
I graphed the equation in my graphing calculator and it came up with a kind of v shaped graph. If you look at the question and see that we first house to school, that would probably mean from the left side of the graph to the center (0,4). Then we go from school to friend's house, so it must be from the center to the right side of the graph. Therefore, the school must be the y intercept (0,4) as that is the center of the graph.
what does this math sighn mea. plezzzzzz answer
Answer:
The symbol ∈ indicates set membership and means “is an element of” so that the statement x∈A means that x is an element of the set A.
Step-by-step explanation:
Just need the answer:) will give 5 star review:))
Answer:
n=5
Step-by-step explanation: happy to hlp
Calculate the area of this triangle
Answer:
99cm^2
Step-by-step explanation:
The formula for area of a triangle is 1/2bh=a with b being the base and h being the height. Base and height here are 18cm and 11cm so multiplying them gets 198, multiply by 1/2 and get 99cm^2.
for every positive integer $ k $ that divides the order of g, there exists a subgroup $ h $ of $ g $ of order $ k $.
The proof of every positive integer k that divides the order of g, there exists a subgroup h of g of order k is shown below:
What is Subgroup?A subgroup is a group nested inside another group. The subgroup test is used on subsets of a group to determine if they are subgroups. A proper subgroup is a subgroup that does not contain all of the original group, while a trivial subgroup contains only the identity.
Suppose k ∣ g ⟹n=dk:
If h(g)=⟨g⟩ is cyclic then
clearly K:=|⟨g^d⟩|=k .
Suppose now we have
1≠H≤h(g),
|H|=k and
let r>0 be the minimal natural number s.t.
g^r ∈ H , then
1=(g ^ r)^k = g^(r k)
⟹n ∣ r k ⟹ r k=ns =d ks ⟹ r= ds ⟹ s ∣ d
and from here we have
g^ r=(g^ d)^ s ∈K
Also, |H|=||K|
we get equality and thus uniqueness of K.
Learn more about subgroup here:
https://brainly.com/question/13258765
#SPJ4
Given f(x) = -x +6, Evaluate f(x) for X= -1 and 3 and 5
Range:
Answer:
f(x) for x = -1 is -1+6= 5
f(x) for x = 3 is -3+6= 3
f(x) for x = 5 is -5+6= 1