After how many minutes will the two pools have the same amount of water? 36 min.
How much water will be in each pool when they have the same amount? 2638 liters.
Explanation:
y=1900+20.5x
y=1351+35.75x
Let the time be t
[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]
[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]
[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto t=2.9h[/tex]
Is 0.225 a rational number?
Answer:
Maybe
Step-by-step explanation:
maybe
Answer:
yes because it can be written as a fraction 225/1000
will give brainliest to whoever helps
Answer:
x=4y
Step-by-step explanation:
Solving for x means you need to get it in the form x=?.
1. let's isolate the variable.
-2x-7y=y-4x
Add 4x to both sides to isolate:
2x-7y=y
Add 7y to both sides to isolate the x term:
2x=8y
Now we divide both sides by 2 (as we are solving for x):
x=4y
Hope this helps!
SOMEONE HELP ME WITH THIS PLS
Answer:
D
Step-by-step explanation:
You add the "columns." The equations are arranged so that like terms are stacked vertically. 3x and 7x are like terms; when you add them, you get 10x.
-y and y are like terms; when you add them, you get 0 (that doesn't appear in the sum).
-5 and 15 are like terms; add them to get 10.
The sum of the two equations is the equation 10x = 10.
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be % confident that his estimate is within percentage points of the true population percentage
Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confident, hence:
[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.
Within 4%, hence, it is needed to find n for which M = 0.04.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601 adults must be sampled.
A similar problem is given at https://brainly.com/question/15133177
Ned fills 2/3 of a bucket in 15 of a minute. How much time will it take him to fill the bucket?
we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.
[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]
The figure below shows the graph of function f with domain [-1,1] and range [0,1].
The domain are the possible input while the range are the possible output
of a function.
(a) The domain = [-√2, √2], the range = [0, 2](b) The domain = [-1, 1], the range = [0, 1](c) The domain = [-1, 1], the range = [0, -1](d) The domain = [0, 2], the range = [0, 1](e) The domain = [-(2 + √2), (√2 - 2)], the range = [0, 2]Reasons:
The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1
Therefore, we have;
(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2
The x-intercept of the above function are, x = √2, and x = -√2
Which gives;
The domain = [-√2, √2]
The range = [0, 2]
(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3
At the x–intercepts, we have;
-3·x² + 3 = 0
x = ±1
The domain = [-1, 1]
The maximum value of y is given at x = 0, therefore;
= -3 × 0² + 3 = 3
The range = [0, 1]
(c) y = -f(x) = -(-x² + 1) = x² - 1
At the x–intercepts, x² - 1 = 0
x = ± 1
The domain = [-1, 1]
The minimum value of y is given at x = 0, which is y = -1
The range = [0, -1]
(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x
At the x–intercepts, we have; -x² + 2·x = 0, which gives;
(-x + 2)·x = 0
Which gives, x = 0, or x = 2
The domain = [0, 2]
The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1
y = f(1) = -1² + 2×1 = 1
Therefore;
The range = [0, 1]
(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2
At the x–intercepts, we have; -x² - 4·x - 2 = 0, which gives;
x = -(2 + √2) or x = x = √2 - 2
The domain = [-(2 + √2), (√2 - 2)]
The maximum value of y is given when x = -4/(2)) = -2
Which gives;
-(-2)² - 4·(-2) - 2 = 2
The range = [0, 2]
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A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes
Answer:
$12
Step-by-step explanation:
Jane's commission is the product of sales and her rate.
commission = (20)($4.00)(0.15) = $12.00
Jane's commission is $12.00 if she sells 20 boxes of pencils.
20 points!!!!!!!!!!!!!
Answer:
C 132°
Step-by-step explanation:
The measure of <ABG is the sum of the measures one exterior angle of each polygon.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
In a regular polygon, all exterior angles are congruent.
Measure of one exterior angle of a regular pentagon:
360°/5 = 72°
Measure of one exterior angle of a regular hexagon:
360°/6 = 60°
m<ABG = 72° + 60°
m<ABG = 132°
You are correct.
Answer: C 132°
At the beginning of spring, Caroline planted a small sunflower in her
backyard. When it was first planted, the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
How tall would the sunflower be after 10 weeks? How tall would the
sunflower be after w weeks?
Height after 10 weeks:
Answer:
After 10 weeks: 40 inches
Step-by-step explanation:
Equation
15 + 2.5w = h
15 = beginning height
2.5 = rate per week
w = weeks passed
h = total height
Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard
The initial height of the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
We need to find the height of the tree after 10 weeks.
15+2.5(10)
15+25
40 inches tall after 10 weeks.
the sunflower height after w weeks
15+2.5W
Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
To learn more on Equation:
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find the sum or difference of 1/9 - 4 11/12
Answer:
-65/36
Step-by-step explanation:
PLEASE HELP PLEASEEE
Answer:
pointts Step-by-step explanation:
u
Answer:
d
Step-by-step explanation:
6 A local theater charges $26 for each adult ticket and
$17 for each student ticket. For one show, the theater
took in $988 from adults and $731 from students. How
many people attended the performance?
Answer:
81 people
Step-by-step explanation:
A scale model of a bicycle has a scale of 1 : 25. The real bicycle has a length of 1.75 m. What is the length of the model in cm?
Answer:
It's 7 I just did this question today and got it right
At a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container vs time (in minutes). SEE GRAPH BELOW AND ANSWER THE FOLLOWING QUESTIONS PLEASE.
A.) What is the amount of candy in the container at 0 minutes?
B.)Choose the stament that best describes how the time and candy are related then fill in the blank.
B 1.) As time increases the amount of candy in the container decreases. At what rate is the amount of candy decreasing?
_____ pounds per minute?
B 2.) As time increases the amount of candy in the container increases. At what rate is the amount of candy increasing?
____pounds per minute?
Answer:
A) 20 pounds
B.2) (increasing) 60 pounds per minute
Step-by-step explanation:
A) The graph shows the container has 20 pounds in it at x=0 minutes.
__
B) The graph goes up to the right (is increasing).
At minute 0, the container has 20 pounds.
At minute 1, the container has 80 pounds.
The increase in one minute is 80-20 = 60 pounds per minute.
The initial amount of candy in the container is 2 pounds. As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.
A.) The amount of candy in the container at 0 minutes is 2 pounds.
B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.
B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.
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how do you find a missing fraction of a pie chart? (:
Answer:
Pasend pic
Step-by-step explanation:
Para I answer koChoose the inequality that represents the following graph
Help me please guys! :(((( or else.!! PLEEEASEE!
Answer:
Option 4 from the top down: -2.4 ≤ -2.40
Step-by-step explanation:
If looked at without regard for their amount of significant digits, we can state that:
-2.4 = -2.40
Thus, it is true that
-2.4 ≤ -2.40
As this states that -2.4 is smaller or equal to -2.40, of which the latter is indeed true.
Prepare an accounting equation for the following business transaction
1. Purchased supplies on account, 4,000
2. Purchased furniture and fixtures for cash, 3,000
3. Paid account in no. 1.
4. Paid advance advertisement for promoting the business 1,000
5. Paid the note 2,000
Answer:
you draw a T. form and then you can start to in debit and credit
What is the leading coefficient of the polynomial f (x) defined below? f (x) = 9x^3 - 7x
well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.
Jeanne is twice as old as her brother Mark. If the sum of their ages is 24, how old is Jeanne?
I'll give brainiest whoever answers first
aight slide it here big boy
A garden supply store spends $750 on an order. They spend $250 on potting supplies
and buy plants that cost $25 each. How many plants do they buy?
Answer:
They bought 20 plants
Step-by-step explanation:
If you minus the total 750- 250 of potting supplies it leaves you with 500.
Divide 500/ 25 = 20
Answer:
20 plants
Step-by-step explanation:
500 divided by 25 = 20
have a nice day
range of the function f(x) = -x^2 - 5
Answer:
Step-by-step explanation:
What is 8.981 times 1.981
Answer:
17.791361
Step-by-step explanation:
Hope this helps!
Can I get Braineist Pls?
Answer:
17.791361
You can cross multiply. I am almost sure this is the method. Put the first number over each other. Then multiply the numbers across. Hope this is helpful!
30 liters in 2 minutes = liters per minute
Answer:
0.06 would be the answer.
Step-by-step explanation:
Answer:
15 liters per minute
Step-by-step explanation:
30/2=15
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y−1=8/9(x−4)
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
Find the exact valueFind sin theta:/2
See picture. Show steps
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
A recipe asks for 4 1/2 pounds of chicken.
How many pounds of chicken are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
Answer:
2/1/2 you need 2and 1/2 of chicken
The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?
Answer:
x > 48
Step-by-step explanation:
There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((
sorry if this didn’t help but once again… not enough information :(
There are 900 3-digit integers, the integers between 100 and 999, inclusive. What percent of these integers contain only odd digits
Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.
