At time t = 0 hours, a tank contains 2000 litres of water.
Water leaks from the tank.
At the end of every hour there is x% less water in the tank,
than at the start of the hour.
The volume of water, in litres, in the tank at time t hours is V.
Given that
V = k'V
V. = 1714.75
work out the value of k and the value of x.
Answers
Answer:
k= 0.95
x = 5
Step-by-step explanation:
V₀=2000 because at the start (when t=0), there's 2000l in the tank.
V[tex]_{t}[/tex]=[tex]k^{t}[/tex]V₀
V[tex]_{t}[/tex]=2000[tex]k^{t}[/tex]
V₃=1714.75=2000k³
k³=0.857375
k= 0.95
-----
V[tex]_{t}[/tex]=2000[tex]k^{t}[/tex]
V[tex]_{t}[/tex]=2000[tex](0.95^{t})[/tex]
V₁=2000(0.95)=1900
So from V₀ to V₁, the tank loses 100l, which is 5% of it's volume at the start of the hour (100/2000=5%). Therefore x = 5
Related Questions
Write 3 and 4/100 as a decimal?
Answers
Answer:
3 4/100 is equal to 3.04 in decimal form
Step-by-step explanation:
branliest please and thank you
Answer: 3.04
Step-by-step explanation:
which statement best describes the histogram shown?
a. The histogram is skewed right
b. The histogram is skewed left
c. The histogram is symmetric
d. The histogram is uniform
Answers
I think???
Answer:
It's A
Step-by-step explanation:
help!!
here are the options
AB←→
is a chord.
AB←→
is a tangent line.
AB←→
is a diameter.
AB←→
is a secant line.
Answers
Answer:
AB←→
is a secant line.
Step-by-step explanation:
Not a chord because a chord ends and begins on a circular arch. (on the circle edge)
Cannot be a tangent line because a tangent line never touches the inside of a line.
Cannot be the diameter because a. it is always just inside the circle and I think it is the longest line (strait in the middle)
Can only be a secant line
In geometry, a secant of a curve is a line that intersects the curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant will intersect the circle at exactly two points.
Find the derivative of f(x) = 4x + 7 at x = 5.
Answers
Answer:
4 or x=3
Step-by-step explanation:
The power rule is
( d /d x ) x *n = n x *n − 1
I just used the power rule to solve
or
4x=5+7
Simplify 5+7 to 12
4x=12
Divide both sides by 4
x=12/4
Simplify 12/4 to 3
x=3
(Sorry if it wasn't what you were looking for)
A submarine was 350 feet below sea level. Then, it rose 75 feet, before diving back down another 100 feet. What is the current elevation of the submarine?
Answers
Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.
Help please I don’t get this problem
Answers
9514 1404 393
Answer:
920 square feet
Step-by-step explanation:
The surface area is the sum of the areas of the different surfaces of the solid. This solid has 5 surfaces: 2 triangular bases and 3 rectangular faces.
The area of a triangle is given by the formula ...
A = 1/2·bh . . . . . where b is the base of the triangle, and h is its height
The dimensions shown on the "front" of the figure tell you the triangle has a base of 15 ft and a height of 8 ft. Its area is ...
A = (1/2)(15 ft)(8 ft) = 60 ft²
__
The rectangular faces all have a width of 20 ft. So, the sum of their rectangular areas will be that width multiplied by the sum of their lengths. We call this the "lateral area" of the prism.
lateral area = (base perimeter) × (prism width)
= (8 ft + 15 ft + 17 ft) × (20 ft) = 800 ft²
The sum of the areas of the two base triangles and the lateral area is the total surface area of the figure:
total area = 2×60 ft² + 800 ft²
total area = 920 ft²
A landscape engineer is designing a triangular area. He wants to place potted trees in the two largest corners. In which corners will he place the two potted trees?
Answers
Answer:
the picture is kinda blurry, i cant see the numbers
Step-by-step explanation:
4
7/1
Joe has been given two cubes. One cube has on of the following letters A, B, C, D, E, and Fon each side. The
other cube has one of the following numbers 1, 2, 3, 4, 5, 6, 7 and 8 on each side. If Joe rolls both cubes, what is
the probability of rolling the letter A and an odd number?
Answers
What are the factors of -11x + 15 = -2/2 ?
a.y=(22+5)(2+3)
b.y= (2x - 5) (2 – 3)
c. y=(21 – 1) (2 – 15)
d.y= (2x + 1) (3 +15)
Answers
Answer:
c
Step-by-step explanation:
HELP ASAPPP! I WILL GIVE BRAINLIEST!
PICTURE BELOW.
PLEASE DO NOT PUT ANY NONE RELATED ANSWERS OR YOU WILL BE REPORTED !!
Answers
Answer:
Polygon A: A, D, E
Polygon B: F, G, H
Polygon C: K, L, M, N, O
Polygon D: S, T
Step-by-step explanation:
Select the correct answer.
If 32% of a number is 64, what is the number?
A 50
B. 96
C. 100
D. 200
Answers
Answer:
20.48
Step-by-step explanation:
the answer is not in d option
Answer:
D. 200
Step-by-step explanation:
Let the number to be found be y.
Therefore, according to the question, we have the following linear equation:
32/100 × y = 64
Therefore, y = (64 × 100)/32 = 200
Hence, y is 200 and 32% of 200 is 64.
the radius of a circle is 6cm what is the diameter circumference and area of the formula?
Answers
Answer:
Diameter: 12
Circumference: 37.68
Area: 113.04
Step-by-step explanation:
The radius of the circle is 6 cm.
To find the diameter of a circle, multiply the radius by 2.
6 × 2 = 12.
12 is the diameter.
----------------------------------------------------------------------------------------------------------------
Formula for the circumference of a circle: πd (diameter).
In other words, to find the circumference of a circle, multiply the diameter by pi.
**3.14 IS A SUBSTITUTE FOR PI**
12 × 3.14 = 37.68
Therefore, 37.68 cm is the area of the circle.
----------------------------------------------------------------------------------------------------------------
Formula for area of a circle: πr² (r = radius).
3.14 × 6 × 6 = 113.04
Therefore, 113.04 cm² is the area of the circle.
Carlos is building a screen door. He height of the door is 1 foot more than twice the width. What is the width of the door if the height is 7 feet?
Answers
Answer:
The answer is 3 feet.
Step-by-step explanation:
First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!
Answer:
3 feet
Step-by-step explanation:
To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:
2w + 1, and this is equal to the height, so
2w + 1 = h
Now, we are given the height is 7. We substitute 7 where the height, h, is.
2w + 1 = 7
We can subtract 1 from both sides and divide by 2 to isolate x:
2w + 1 = 7
-1 -1
2w = 6
w = 3 - the width is 3 feet
This is the floor plan of Andrew’s toy room. Andrew needs to determine the area of the floor so he can order new wood flooring. Enter the area, in square feet, of Andrew’s toy room floor.
Answers
Answer:
should be 76
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 5*7=35
rec 2: (8-3.5)*(11-5-4)=9
rec 3:4*8=32
Then:
35+9+32=76
Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the diving board. How far is Paula from the surface of the water:
1. What integer represents Paula's starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula's distance below the water's surface
4. At the end of her dive, Paula is ____feet below the surface of the water
5. Yolanda owes her friend $15. She also earns $8 each week in allowance. Write and solve an addition equation to show how the total amount of money that Yolanda has will change if she pays her friend back this week.
Answers
1) The integer representing Paula's starting height above the water is 2.
2) The integer that represents the total distance Paula descends is 7.
3) An addition expression to represent Paula's distance below the water's surface is 2 + 3.
4) At the end of her dive, Paula is 5 feet below the surface of the water.
5) If Yolanda pays her friend back this week, she will owe her only $7.
What is an integer?An integer is a whole number. It can be positive, negative, or zero but without fractions.
Addition expressions combine two or more addends with the addition operand and equation mark (=) to determine the sum (or the result of the addition operation).
Paula:Height of diving board = 2 feet
Depth of descent below the diving board = 7 feet
Distance below the water's surface = 5 feet (7 - 2)
5 feet = 2 + 3
Yolanda:Debt to a friend = $15
Earnings per week = $8
Total amount after paying friend = 8 - 15
= -$7
Learn more about addition operations at https://brainly.com/question/4721701
#SPJ1
Violet bought 7 air filters at the store. Each filter cost $18.85. Violet used a coupon for $5.50 off her total cost of the air filters. How much did Violet pay for these 7 air filters? *
1 point
$31.35
$137.45
$126.45
$93.45
help me plz so much i really really need this todayy asap
Answers
7x18.85 - coupon
Answer the question please
Answers
explanation: the top square is 3x2=6 and the bottom one is 8x5=40
use the formula circumference = 2×π× radius, where π is approximately 3.14, to answer the question
A. 7.9 in
B. 15.7 in
C. 31.4 in
D. 62.8 in
Answers
Answer:
The correct answer is C. 31.4
Step-by-step explanation:
Help pls!!! ASAP!!! Thank you
Answers
Angle Relationships
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle of 60°
a. 0.50
b. 0.86
c. 0.25
d. 0.71
Please select the beast answer from the choices provided
Answers
Answer:
B. 0.86
Step-by-step explanation:
I calculated it logically
A rectangle has length of 6 inches and a breath of 4 inches. find the area in2
Answers
Answer:
area of rectangle=length ×breadth
6×424in²hope it helps
stay safe healthy and happy.PLEASE HELP MARKING BRAINLIST
Answers
Answer:
82?
Step-by-step explanation:
Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a great person!!!!
which equation is represented by the graph below
Answers
Find three rational numbers between
1
5
and 0.20.
Answers
2, 3 and 4 is the three rational numbers between
Step-by-step explanation:
True po talaga enanswer ko❤️
A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the paper.
Country Sugar Consumption Depression Rate
Korea 140 2.4
United States 310 3.1
France 360 4.5
Germany 385 5.1
Canada 400 5.1
New Zealand 470 5.8
Required:
a. Calculate the correlation coefficient for this data set.
b. Interpret the correlation coefficient for this data set.
c. Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain.
Answers
Answer:
Following are the responses to these question:
Step-by-step explanation:
In point a:
In the excel sheet with the information, you've been provided. The below is the output of the [tex]CORREL(B2:B7, C2:C7)[/tex] formula for determining correlation coefficients:
[tex]\to r=0.0762[/tex]
It was a good thing that there's a connection between the two. For both depression and sugar intake, there is a weak positive linear relationship.
In point b:
Yes, It's fair to assume which increased sugar intake leads to increased depression rates.
In point c:
Yes, This sample of countries does not appear to be reflective of an entire world. As a result, the inference could be applied to all countries.
three times four and four fifths
Answers
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
Describe a compound event that has a probability between 50% and 80%.
Answers
Answer:
r=4.5 I hope this helped!
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
A cruise ship can cover 19 nautical miles in 342 minutes. How many nautical miles will it travel in 270 minutes? HELP ASAP
Answers
Answer:
15 nautic miles, a simple proportion
19:342=x:270
Step-by-step explanation:
Your welcome :)
Please help the question and answer choices are in the picture.
Answers
Answer:
B) 20
Step-by-step explanation:
2808 lb. / 140 lb. ≈ 20
20 POINTS HELP FAST
What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answers
Answer:
https://brainly.com/question/16576809
Step-by-step explanation:
Answer:
144 m2
Step-by-step explanation: