A tank contained 80 liters of water. The function “w” represents the relationship between “t”, time in minutes, and the amount of water in the tank in liters. The equation w(t) = 80 - 2.8t defines this function. How would the graph of the inverse function of compare to the graph of “w”? PLEASE HELP!!
w(t) tells you the amount of water w at a given time t.
The inverse function tells you at which time t the tank contains an amount of water w.
To get the inverse function, solve the equation
w = 80 - 2.8t
for t :
w = 80 - 2.8t
2.8t = 80 - w
t = (80 - w) / 2.8
t ≈ 28.57 - 0.357 w
The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).
can somebody please answer this. I will give brainliest answer.
Answer:
121.21 people per square mile
Step-by-step explanation:
area = 1/2(12 + 21)(14) = 231 mi²
28,000/231 = 121.21 people per square mile
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time
Answer:
Acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Step-by-step explanation:
Given that,
Initial speed, u = 0
Final speed, v = 9 km/h = 2.5 m/s
Time, t = 5 seconds
We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity
So,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]
Distance d can be calculated using third equation of motion.
[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]
So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.
answers are
126in cubed
377in cubed
565in cubed
1131in cubed
126
Step-by-step explanation:
hdhfgdhdgdhdhrgdgdgdhdgdhdhdh
Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB
What are the endpoints of segment AB?
select both endpoints
(-2,8)
(-1,4)
(0,0)
(1,4)
(2,0)
(4,0)
[please help, i would appreciate it alot]
Answer:
Step-by-step explanation:
(-1,4) (1,4) 2,0
The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.
The endpoint of the line segment is given as,
A = 0.5(-2, 8)
A = (-1, 4)
B = 0.5(4, 0)
B = (2, 0)
The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
which expressions is equivalent to 4(2x+3y)
Answer: 8x+12y
Step-by-step explanation:
Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:
The distributive property dictates that a(b+c) = ab+ac.
Thus,
4(2x+3y)
8x+12y
Hope it helps :)
Answer:
8x+12y
Step-by-step explanation:
Multiply both numbers times the number is outside the parenthesis
hi amazing people please help i’ll give brainliest thanks!
Answer:
I dont think so: False
Step-by-step explanation:
If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.
what is the negative x-intercept of y=x^2-2x-3 PLEASE HELP!!
Answer:
(-1,0)
Step-by-step explanation:
brainless will be provided if you answer this question, but please hurry.
Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?
Answer:
B
Step-by-step explanation:
Answer:
The answer is C. ✋✋✋✋✋
NOTE: Angles not necessarily drawn to scale.
samantha gathered the following information on a given day at the dog park
Answer:
Ok
Step-by-step explanation:
The table completely to represent Samantha's data is
Dogs Puppies Not Puppies Long Hair Not Long Hair
3232 1515 1717 1111 606
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of X_i and Y_j (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
We are given that;
Number of dogs playing=3232
Number of puppies=1515
Now,
We can calculate the number of dogs that have long hair by using the information that there are 66 more dogs that have long hair than dogs that do not have long hair. We know that there are 1111 dogs that have long hair and 1717 dogs that are not puppies. So, the number of dogs that do not have long hair is 1717 - 66 = 1651.
We can also check that the total number of dogs is equal to the sum of the number of puppies and the number of not puppies. 1515 + 1717 = 3232.
Therefore, the table will be;
Dogs Puppies Not Puppies Long Hair Not Long Hair
3232 1515 1717 1111 606
Learn more about two-way table here:
https://brainly.com/question/26788374
#SPJ3
The complete question is;
Samantha gathered the following information on a given day at the dog park.
• There are 3232 dogs playing at the dog park.
• 1515 of the dogs are puppies.
• 1111 of the dogs are not puppies and have long hair.
• There are 66 more dogs that have long hair than dogs that do not have long hair.
Fill in the table completely to represent Samantha's data.
The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.
What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)
One box of pasta costs?
Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?
Answer:
153 batches
Step-by-step explanation:
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
help in need help and plz dont give me a website plz
Answer:
u = 7
Step-by-step explanation:
In a parallelogram, GI = GK so:
u + 28 = 5u
4u = 28
u = 7
Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?
Plz help will mark brainliest
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?
Answer:
FV= $70,887.15
Step-by-step explanation:
First, we need to calculate the future value of the $130 deposit for 5 years:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
Now, using the following formula, the future value of the investment after 25 years:
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
FV= $70,887.15
Which of the following shows the sample space for spinning the spinner one time?
Answer:
There are two colors and 8 numbers.
One color is represented by 3 numbers 2, 3, 7
The second color is represented by 5 numbers 1, 4, 5, 6, 8
P(color 1) = 3/8P(color 2) = 5/8PLEASE HELP!!!! While observing the fare meter in a taxi, a student records the following data:
Reading on Taxi Fare Meter
Time (minutes) Meter Reading
0 $7.75
10 $13.25
20 $18.75
30 $24.25
What is the equation that relates the cost, C(t), of the taxi ride and time, t, in minutes? What is the cost of a 42-minute taxi ride? (7 points)
C(t) = 0.55t + 7.75, $30.85
C(t) = 1.71t + 7.75, $79.57
C(t) = 0.775t + 5.50, $38.05
C(t) = 5.5t + 0.775, $231.78
Answer:
C(t) = 0.55t + 7.75, $30.85
Step-by-step explanation:
the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride
the variable cost or the cost per minutes driven =
(13.25 - 7.77) / (10 - 0) = 0.55
total cost = 7.75 + 0.55t
cost of 42 minutes = 7.75 + 0.55(42) = $30.85
Can someone please help me with this....im stuck.
Answer:
Step-by-step explanation:
One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).
Width = w
Length IS three more than (added to) 4 times (multiplied by) the width
Length = 4w + 3
Area of a rectangle is the width multiplied by the length.
Equation: w(4w + 3) = 24
Solve.
Multiply out the left side.
4w^2 + 3w = 24
Subtract 24.
4w^2 + 3w -24 =0
This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).
[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]
Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.
Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?
Answer:
the 3rd option
Step-by-step explanation:
Answer:
the correct answer to this is C, have a wonderful day :)
Step-by-step explanation:
PLSZSZ HELPPPP
The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?
Answer: -16
Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:
-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.
The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360
Answer:
B
Step-by-step explanation:
120/360 54
Which set of lengths could not form a triangle?
O {5, 7, 10}
O {2,4,5)
O {8, 12, 5)
O {15, 7, 6)
Answer:
1.{8,12,5
Step-by-step explanation:
please click the heart and rate excellent and brainleist
please☻❤☺️☺️❤☻
PLEASE HELP
TIMED!!!
For function Limit of h (x) as x approaches c minus = negative infinity and limit of h (x) as x approaches c plus = infinity. Which statement describes the existence of an asymptote at c?
Answer:
A. there must be a vertical asymptote at x=c
Step-by-step explanation:
Answer: A
Step-by-step explanation:
got it right edge 2022
Help would be gradually appreciated
Answer:
area is 60.75 m^2
Step-by-step explanation:
x-intercept of 5 and a y-intercept of -4.
Write this street's equation in slope intercept form.
Answer:
y = 5x -4 or you could also write y = 5x + -4
it's still the same thing.
Step-by-step explanation:
Find the ordered pair that is a member of both -2x + 6y = 34 and
2x + 2y = 14 or indicate if it does not exist or there are infinite
possibilities.
Answer:
(1, 6) is the solution
Step-by-step explanation:
-2x + 6y = 34
2x + 2y = 14; divide by 2
x + y = 7; subtract x
y = 7 - x
let's substitute y with 7 - x in first equation
-2x + 6*(7 - x) = 34; expand multiplication
-2x + 6*7 - 6*x = 34; group
-8x + 42 = 34; subtract 42
-8x = 34 - 42 = -8; divide by -8
x = 1
y = 7 - 1 = 6
It is the only solution, as we've arrived at exact numbers.