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
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
Rearrange the equation so b is the independent variable..
a – 7 = 3(b +2)
a =
Answer:
a = 3b+13
Step-by-step explanation:
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
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
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
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
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
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)
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.
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:
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.
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
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
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What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
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 :)❤
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
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
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
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:
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)
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 $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
Express in simplest form with a rational denominator.
4 over 28
Answer:
Explained in detail below
Step-by-step explanation:
4/28 = 1/7 = 1:7
Activity
On the way home from visiting his family, Vincent's plane cruised at an altitude of 3.2 x 104 feet. He had heard that a man named Felix
Baumgartner skydived from an altitude of 1.28 x 10$ 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!
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
Please help! Photo is linked! Help asap! Extra points!
Answer:
c and d
Step-by-step explanation:
Please could someone help me with this
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
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
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
plz fast I need it
plz plz plz
Answer:
PQ = 1/2BC
Step-by-step explanation: