Complete question :
Water flows from a faucet into a bathtub at a constant rate of 2.5 gallons per minute. The bathtub initially has 5 gallon of water in it. Write a function to represent the situation.
Answer:
f(x) = 2.5x + 5
Step-by-step explanation:
A function which could be used to represent the situation is the slope - intercept function ;
The constant rate of water flow per minute could represent the slope of the function, which is the change in y per unit change in x ;
The intercept is the initial water level in the bath tub = 5 gallons
Slope intercept equation:
y = mx + c
m = slope ; c = intercept
The water in the bathtub as a function of x, number of minutes is ;
f(x) = 2.5x + 5
Decide whether each one of these sets of data is discrete or continuous.
a) the weight of a puppy
b) the number of puppies in a litter
c) a person's temperature
d) the dress sizes of women
Answer:
A set is continuos if the values of the set can be any value in the given ranges
A set is discrete if the values of the set are finite and separate.
Than:
a) The weight of a puppy.
The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.
b) The number of puppies in a litter.
Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.
c) A person's temperature.
Temperature can be any value in a given range, so this is a continuous set.
d) The dress sizes of women.
Normally, there is a given set of dress sizes like s, l, xl, etc.
So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)
Please help you guys, Look at the picture attached
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
The total cost of the tablet is $840
Step-by-step explanation:
Here, we want to calculate the total cost
Let the total cost be $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
plz fast I need it
plz plz plz
Answer:
PQ = 1/2BC
Step-by-step explanation:
Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:
Answer:
y - intercept = -5/2
x-intercept = -2
Step-by-step explanation:
-5x - 4y = 10
At y-intercept , x = 0
0 - 4y = 10
y = 10/-4
y = -5/2
At x-intercept, y = 0
-5x - 0 = 10
-5x = 10
x = 10/-5
x = -2
Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.
Answer:
×= 5hrs
Step-by-step explanation:
Daisy 9 hrs
Bella my son 5hrs
Rearrange the equation so b is the independent variable..
a – 7 = 3(b +2)
a =
Answer:
a = 3b+13
Step-by-step explanation:
On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight
Answer:
Step-by-step explanation:
Please help! Photo is linked! Help asap! Extra points!
Answer:
c and d
Step-by-step explanation:
PLZZ HELP AND EXPLAIN IF POSSIBLE
Answer:
456 ft.sq
Step-by-step explanation:
Here's your solution
=> Divide the whole figure in two parts
First part is trapeziumSecond part is square
=> Area of trapezium = 1/2*sum of parrel sides*distance between them
=> Area of trap. = 1/2*( 24 + 11) *24
=> Area = 1/2*35*24
= > Area = 35*12. =. 420 ft.sa
=> Area of square = side*side
=> Area = 6*6
=> Area = 36 ft.sq
=> Total area of figure = 420 + 36
456 ft.sq
Mirasha collected coins. At the end of the week, she had 89 coins in total. She started off with 23 at the beginning of the week. If she got a equal amount of coins each day of the week, not counting the first day, how many coins did she get each day?
Answer:
11 coins each day, not counting the first day
Step-by-step explanation:
89 - 23 = 66
66/6 = 11 coins per day
PLZZZZ give me brainliest!
Answer:
LOLLLLLLLLLLLLLLLLLLLLLL
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number
Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.
Given:
Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.
To find:
The edge of a cube whose volume is equal to the volume of the given cuboid.
Solution:
We know that the volume of a cuboid is
[tex]Volume=length\times breadth \times height[/tex]
[tex]V_1=36\times 75 \times 80[/tex]
[tex]V_1=216000[/tex]
The volume of a cube is
[tex]Volume=a^3[/tex]
Where, a is the side length of the cube.
The volume of cube and cuboid are equal. So,
[tex]a^3=216000[/tex]
[tex]a=\sqrt[3]{216000}[/tex]
[tex]a=60[/tex]
Therefore, the measure of edge of the cube is 60 cm.
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
How many Square feet of outdoor carpet will we need for this hole? plzz helpp!
Answer: I would say 4 square feet
Step-by-step explanation:
Pls give brainliest
Please could someone help me with this
Express in simplest form with a rational denominator.
4 over 28
Answer:
Explained in detail below
Step-by-step explanation:
4/28 = 1/7 = 1:7
A tank that is 40% full contains 648 gallons of water. How much water is in the tank when the tank is at full capacity (100%)?
Answer: 1620 gallons of water
Step-by-step explanation:
Let the water that is in the tank when the tank is at full capacity be represented by x.
Therefore, 40% of x = 648
40% × x = 648
40/100 × x = 648
0.4 × x = 648
0.4x = 648
x = 648/0.4
x = 1620
The answer is 1620 gallons
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
I need help solving this pls
Answer:
Adding them together. x = 3/2, y = 8
Step-by-step explanation:
Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.
By adding we get that 8x = 12 which gives us x = 12/8 = 3/2
Substituting this back into either equation will give us y = 8.
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
Activity
On the way home from visiting his family, Vincent's plane cruised at an altitude of 3.2 x 104 feet. He had heard that a man named Felix
Baumgartner skydived from an altitude of 1.28 x 10$ feet. Vincent wants to know how much higher Felix went on his skydiving trip.
write the cruising altitude of vincent’s plane in standard notation
Answer:
Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.
Convert the number to standard notation.
3.2 × 10^4 feet
=
3.2 • 10,000 feet
=
32,000 feet
Step-by-step explanation:
This is the sample answer from Edmentum.
Answer:
Question 1 part a =
Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.
Convert the number to standard notation.
3.2 × 104 feet
= 3.2 • 10,000 feet
= 32,000 feet
Part b =
Felix’s skydiving altitude is 1.28 × 105 feet.
Convert the number to standard notation.
1.28 × 105 feet
= 1.28 • 100,000
= 128,000 feet
Part c =
Subtract the two altitudes to find the difference.
128,000 feet − 32,000 feet = 96,000 feet
The difference of their altitudes is 96,000 feet.
Part d =
The difference of the altitudes is 96,000 feet.
Covert 96,000 to scientific notation:
96,000 feet = 9.6 × 104 feet
Question 2 part a =
Vincent’s plane’s altitude is 3.2 x 10^4 feet.
Felix’s skydiving altitude is 1.28 x 10^5 feet.
Transform 3.2 x 10^4 so its exponent matches the power of 10 in 1.28 x 10^5.
To do so, multiply and divide the number by 10.
3.2 x 10^4 = 10/10 x 3.2 x 10^4
= 3.2/10 x 10^4 x 10
= 0.32 x 10^5
Part b =
Calculate the difference of the two altitudes:
1.28 × 105 – 0.32 × 105
= (1.28 – 0.32) • 105
= 0.96 • 105
The difference of their altitudes is 0.96 •105 feet.
Part c =
The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.
To convert the answer to scientific notation, multiply and divide the number by 10.
0.96 x 10^5 = 10/10 x 0.96 x 10^5
= (0.96 x 10) x (10^5 x 10^-1)
= 9.6 x 10^4 feet
In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.
Question 3 =
The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.
Step-by-step explanation:
Your answer is in bold. All edmentum answers :)
Hope this helps someone!
Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. If you were to write an exponential decay function to represent this situation, what would the decay factor be?
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!
The decay factor for the car will be equal to 0.925 or 92.5%
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.
The decay factor will be calculated as,
[tex]y=a(1-b)^x[/tex]
b is 7.5%=0.075
Decay factor = 1-0.075
Decay factor = 0.925
To know more about exponential expression follow
https://brainly.com/question/12940982
#SPJ2
Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answer:
41.67πunits³
Step-by-step explanation:
Since we are not asked what to find, we can as well look for the volume of the cone.
Find the diagram of the cone attached
Volume of the cone = 1/3πr²h
h is the height of the cone
r is the radius of the cone
Volume of the cone = 1/3π(5)²(5)
Volume of the cone= 1/3π(125)
Volume of the cone = 125π/3
Volume of the cone = 41.67πunits³
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
120
Step-by-step explanation:
First we can find the value of each exterior angle
The sum of the exterior angles is 360
because a hexagon has 6 congruent exterior angles we divide 360 by 6
360/6=60 so each exterior angle is equal to 60 degrees
the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180
180-60=120 so each measure of the interior angle of a hexagon is 120 degrees
Please help, it would be very much appreciated
Answer:
153.86 units squared.
Step-by-step explanation:
given
diameter (d) = 14
radius (r) = 14/ 2 = 7
Area of the circle
= πr²
= 3.14 * 7²
= 3.14 * 49
= 153.86 units squared
Hope it will help :)❤
A rectangular rug measures 9 feet by 6 feet. The rug has two nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue. HELP HELP HELP
What percent of the rug is blue
54
65
74
89
Answer:
54%
Step-by-step explanation: