it takes 10 seconds to fill a one-quart jar with water from your kitchen faucet. what is the flow rate, in gallons per minute, from the faucet? group of answer choices 40 10 1.5 4
1.5 litres of water are released from the faucet per minute.
It is given to us that -
There is a one quart jar
Water from the kitchen faucet fills the 1-quart jar in 10 seconds.
We need to ascertain the faucet's flow rate in gallons per minute.
We know that -
1 quart = 0.25 gallon ---- (1)
We also know that -
1 minute = 60 seconds
=> 60 seconds = 1 minute
=> 10 seconds = 10/60 = 0.16 minutes ----- (2)
Now, the flow rate can be calculated as -
Flow rate = Amount of water filled/Time taken ----- (3)
Substituting the values from equation (1) and (2) in equation (3), we have -
Flow rate = Amount of water filled/Time taken
=> Flow rate = 1 quart water/10 seconds
=> Flow rate = 0.25 gallons/0.16 minutes
=> Flow rate = 1.5 gallons per minute
Therefore, the flow rate of water from the faucet is 1.5 gallons per minute.
To learn more about flow rate visit https://brainly.com/question/27880305
#SPJ4
TIME REMAINING
40:43
The outside temperature at midnight today in Polina's hometown was 18°F. The temperature increases by 1.2°F each
hour over the next 15 hours. Polina's school does not send students outside for recess if the outside temperature is
32°F or lower. Recess at her school always starts on the half hour or hour. Which statement is true about recess at
Polina's school?
Only students who have recess at 11:00 a.m. or later may go outside.
Only students who have recess at 11:30 a.m. or later may go outside.
Only students who have recess at 12:00 p.m. or later may go outside,
Only students who have recess at 12:30 p.m. or later may go outside.
Save and Fxit
Answer:
12pm or later
Step-by-step explanation:
if she is starting at midnight, 12am, then it would take 12 hours to make the temperature above 32.
write an inequality that describes the situation. the starting temperature is 18, so we add the 18 to the rest of the inequality because that is what we have already so we really don't have to do anything with it. 1.2 is for the amount that the temperature rises at and x is for how many hours it will take. this all needs to be greater than 32 degrees.
18+1.2x>32
-18 -18
1.2x=14
/1.2 /1.2
x=11.67
this decimal place means that it would take over 11 and a half hours for the temperature to be above 32. therefore, anytime after 12pm would be ok for the kids to go outside.
Consider the following statements. Select all that are always true.
- The sum of a rational number and a rational number is rational.
- The sum of a rational number and an irrational number is irrational.
- The sum of an irrational number and an irrational number is irrational. - The product of a rational number and a rational number is rational.
- The product of a rational number and an irrational number is irrational. - The product of an irrational number and an irrational number is irrational.
Answer:
A, B, D and E
Step-by-step explanation:
Given
Options A to F
Required
Determine which is true
Option A:
This is always true;
Take for instance the following rational numbers
\(a = \frac{1}{2}\) \(b = \frac{1}{3}\)
\(a + b = \frac{1}{2} + \frac{1}{3}\)
\(a + b = \frac{3 + 2}{6}\)
\(a + b = \frac{5}{6}\)
This will always result in a rational number
Option B:
This is always true;
Take for instance the following rational number
\(a = 0.5\)
And the following irrational number
\(b = 3.142857\)
\(a + b =0.5+ 3.142857\)
\(a + b =3.642857\)
This will always result in an irrational number
Option C:
This is not always true;
1. Take for instance the following irrational numbers
\(a = 0.33333\) \(b = 3.142857\)
\(a + b =0.33333 + 3.142857\)
\(a + b =3.476187\)
2. Take for instance the following irrational numbers
\(a = 3 + \sqrt5\) \(b = -\sqrt5\)
\(a + b = 3 + \sqrt5 - \sqrt5\)
\(a + b = 3\)
From the above examples, this implies that the statement is not always true
D.
This is always true;
Take for instance the following rational numbers
\(a = \frac{1}{2}\) \(b = \frac{1}{3}\)
\(a * b = \frac{1}{2} * \frac{1}{3}\)
\(a * b = \frac{1}{6}\)
This will always result in a rational number
E.
This is always true;
Take for instance the following rational number
\(a = 0.5\)
And the following irrational number
\(b = 3.142857\)
\(a * b =0.5 * 3.142857\)
\(a * b =1.5714285\)
This will always result in an irrational number
F.
This is not always true;
1. Take for instance the following irrational numbers
\(a = 0.33333\) \(b = 3.142857\)
\(a * b =0.33333 * 3.142857\)
\(a * b =1.04760852381\)
2. Take for instance the following irrational numbers
\(a = 3 + \sqrt5\) \(b = 0\)
\(a * b = (3 + \sqrt5) * 0\)
\(a * b = 0\)
From the above examples, this implies that the statement is not always true
Answer:
hey! just wanted to let you know that an irrational number times a rational number can be rational.
Step-by-step explanation:
Rational is anything you can write as a fraction. Irrational is something you cannot write as a fraction. That being said, you can write 0 as a fraction (0/1=0), this means that when you multiply any irrational number times 0, the answer will always come back to 0, meaning an irrational times a rational is open under multiplication.
The art club had an election to select a president. 25% of the 80 members of the club voted in the election. How many members voted?
Answer:
20, the answer is 20 members
Answer:
3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.
Step-by-step explanation:
A coin was tossed 80 times, out of which it landed on heads 60 times. What is the relative frequency of the coin toss resulting in tails?
Answer : 25%
Step-by-step explanation : If a coin was tossed 80 times and it landed 60 times, 80 - 60 = 20 so 20/80 were tails, let's convert that into % so 20 is 1/4 of 80 so 25%.
If s = 4, what is the value of 20s - 15s?
A 4
B 5
15
20
Answer:
20
Step-by-step explanation:
simple 20(4)-15(4)=80-60=20
Answer:
20
Step-by-step explanation:
20 x 4 = 80
15 x 4 = 60
80 - 60 = 20
The University of Oregon has many different
uniforms. The coach can choose from four color
jerseys and pants: green, yellow, white, and black.
What are all of the possible jersey/pant
combinations?
Probability is the measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.
There are a total of 16 possible jersey/pant combinations that the coach of the University of Oregon can choose from. These combinations are as follows:
1. Green jersey, green pants
2. Green jersey, yellow pants
3. Green jersey, white pants
4. Green jersey, black pants
5. Yellow jersey, green pants
6. Yellow jersey, yellow pants
7. Yellow jersey, white pants
8. Yellow jersey, black pants
9. White jersey, green pants
10. White jersey, yellow pants
11. White jersey, white pants
12. White jersey, black pants
13. Black jersey, green pants
14. Black jersey, yellow pants
15. Black jersey, white pants
16. Black jersey, black pants
To know more about jersey/pant combinations visit:
https://brainly.com/question/27565973
#SPJ11
What is 94 Kilograms in Pounds?
207.235 is 94 Kilograms in Pounds by unit conversion.
What is unit conversion ?
The same feature is expressed in a different unit of measurement through a unit conversion. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles. The units of a measured quantity can be changed without changing the value using a conversion factor, which is an expression representing the connection between units.
The numerator and denominator of a conversion ratio (also known as a unit factor) have the same value whether represented in various units, and the ratio itself always equals one (1).
1 kg = 2.20462 pounds
94 kg = 207.235 pounds
Learn more about unit conversion
brainly.com/question/19420601
#SPJ4
HELP! 25 POINTS
Factorise: √ab(x² +1) + x(a+b)
Solve
(x-6)-(4.5-x)=-1.5
Answer: x= 4.5 or x= 9/2
Step-by-step explanation:
Step-by-step explanation:
(x - 6) - (4.5 - x) = -1.5
remove the brackets
x - 6 - 4.5 + x = -1.5
2x - 10.5 = -1.5
2x = 9
x = 4.5
Identify the property that justifies the statement. OP = RS, RS= OP. Sym.
The property that justifies the statement "OP = RS, RS = OP" with "Sym" is symmetry. Symmetry refers to the property of an object or equation where it remains unchanged under certain transformations or operations.
In this case, if we reflect the circuit across the line of symmetry, the circuit will be exactly the same as the original circuit, except that the voltage source will be flipped over.
Therefore, if we take the voltage across the resistor (RS) and multiply it by the resistance of the voltage source (R), we will get the same result as if we take the voltage across the resistor (OP) and multiply it by the resistance of the resistor (R). This property is symmetric, and thus the statement "OP = RS, RS = OP" is true
Learn more about an object or equation
https://brainly.com/question/8751749
#SPJ4
Answer:
Sym. Prop. of ≅ is the correct answer
One day an e-mail is sent to 7 people. That day each person who receives the e-mail sends the email to two friends. Each friend who receives the email sends it to two more people on the following day
On the second day 28 people will have received the email.
Exponential functionsTo determine the expression that graphs this situation and determine the number of people who will have received the e-mail, the following calculation must be made:
X = Number of days the email is forwarded.7 x 2^X = People who would have received the e-mail.Thus, if the email is forwarded two days in a row, this formula operates as follows:
7x2^2 = X7 x 4 = X28 = XTherefore, on the second day 28 people will have received the email.
Learn more about exponential functions in https://brainly.com/question/15352175
Please answer as soon as you can! I'm doing a test and I have a massive headache ughh!
What is the shape of your stomach when empty?
Need a Hint?
A) a sausage
B) a fist
C) a funnel
D) a tube
Answer:
a funnel for me⭐⭐⭐⭐⭐⭐⭐⭐
I need help with algebra 1 please
Step-by-step explanation:
in such cases you need to identify and mark at least 2 points in the coordinate grid and then draw a line through them.
how to find 2 points ? by simply picking 2 values for x and then use the equation to calculate the corresponding y.
I start in such cases usually with x = 0.
the equation terms is that
y = -1/2×0 + 7 = 7
so, our first point is (0, 7).
that means it is on the y-axis itself (again, x=0) up there at the "7" mark.
for a second point I would pick a value for x that allows me to deal with integer numbers in the equation (that gets rid of the -1/2 fraction).
so, because of the -1/2 nature, I would pick an even number like 4 or 6.
so, let's use 6.
y = -1/2×6 + 7 = -3 + 7 = 4.
our second point is therefore (6, 4).
follow on the x-axis to the right until the "6" mark, and then go up 4 units. there you mark the point.
that is how coordinates work.
and now you take a ruler and you draw a line through both points (not just connect the 2 points, but really extend that line in both directions to the edges of the coordinate grid).
what is the measure of angle A?
Answer:
Step-by-step explanation:
138° - 80° = 58°
Can you guys please help?
Answer: 1) h=5d+1.5
Step-by-step explanation:
Verify by substitution that the given function is a solution of the given differential equation. Note that any primes denote derivatives with respect to x. y' = 4x3y = x + 6 What step should you take to verify that the function is a solution to the given differential equation? O O O O A. Substitute the given function into the differential equation, B . Integrate the function and substitute into the differential equation C . Determine the first and second derivatives of the given function and substitute into the differential equation D. Differentiate the given function and substitute into the differential equation.
To verify if a given function is a solution to a given differential equation, you need to substitute the function into it and check if it holds true. Differential equation is y' = 4x^3y - x + 6, and you are given a function y = x + 6.
In this case, the differential equation is y' = 4x^3y - x + 6, and you are given a function y = x + 6. To verify if this function is a solution, you would substitute it into the differential equation. Substituting y = x + 6 into the differential equation, you get (x + 6)' = 4x^3(x + 6) - x + 6.
Next, you would simplify the equation and check if it holds true. If the equation is satisfied, then the given function is a solution to the differential equation.
In this case, the step you should take to verify that the function is a solution to the given differential equation is A. Substitute the given function into the differential equation.
To learn more about differential equation click here : brainly.com/question/32514740
#SPJ11
Please help meeeeeeeeeeeee
Answer:
Partial Answer
The height of one floor is 12ft.
Step-by-step explanation:
84/7 = 12
7m - 17 = -24
what is m?
Answer:
Move all terms that don't contain
m
to the right side and solve.
Exact Form:
m
=
41
7
Decimal Form:
m
=
5.
¯¯¯¯¯¯¯¯¯¯¯¯
857142
Mixed Number Form:
m
=
5
6
7
Tap to view steps...
Why would msany scientist not accept the hypothesis of continental drift
The hypothesis of continental drift was initially not accepted by many scientists due to the lack of a comprehensive mechanism, conflicting with established beliefs, and limited supporting evidence.
What were the reasons behind the initial skepticism towards the hypothesis of continental drift?During the early stages of the continental drift theory, scientists struggled to find a satisfactory mechanism that could explain how continents could move across the Earth's surface.
The concept seemed implausible without a clear understanding of the driving forces behind such movement. Without a solid mechanism, many scientists were hesitant to accept the hypothesis.
Additionally, the theory of continental drift contradicted the prevailing scientific belief of a fixed and unchanging Earth.
The concept challenged the long-held notion of a static planet and required a paradigm shift in scientific thinking, which met with resistance from some scientists who were reluctant to abandon established ideas.
Furthermore, the available evidence supporting continental drift was limited and fragmented.
While Alfred Wegener presented compelling evidence such as the fit of coastlines, fossil distributions, and geological similarities, skeptics argued that these observations could be explained by alternative mechanisms or coincidences rather than actual continental movement.
Over time, advancements in plate tectonics, geophysical studies, and technological innovations provided more substantial evidence and a better understanding of Earth's dynamics, leading to widespread acceptance of the theory.
The accumulation of data and the development of a comprehensive mechanism helped address the initial concerns and skepticism surrounding the hypothesis of continental drift.
Learn more about hypothesis of continental drift
brainly.com/question/769922
#SPJ11
The school park has a circular pond with a radius of 3 feet. What is the pond's circumference?
Answer:
18.84.
Step-by-step explanation:
Radius times 2 is diameter. 6 feet is diameter. Circumference is diameter times pi.
6 × 3.14 = 18.84
Carter just accepted a job at a new company where he will make an annual salary of $60000. Carter was told that for each year he stays with the company, he will be given a salary raise of $3000. How much would Carter make as a salary after 8 years working for the company? What would be his salary after
�
t years?
Carter would make an annual salary of $96000 after 12 years working for the company
What is addition ?
Addition is a basic mathematical operation that combines two or more quantities to find a total or a sum. It is denoted by the symbol "+" and is usually taught in elementary school. In addition, the order of the numbers does not matter, meaning that you can add them in any order and still get the same result. For example, 3 + 5 is the same as 5 + 3, and the answer is 8 in both cases.
According to the question:
After 8 years, Carter would have received 8 salary raises of $3000 each:
8 x $3000 = $24000
Adding this to his starting salary of $60000 gives us:
$60000 + $24000 = $84000
Therefore, Carter would make an annual salary of $84000 after 8 years working for the company.
To find his salary after 12 years, we can simply calculate 12 salary raises of $3000 each and add it to his starting salary:
12 x $3000 = $36000
$60000 + $36000 = $96000
Therefore, Carter would make an annual salary of $96000 after 12 years working for the company.
To know more about addition visit:
https://brainly.com/question/29560851
#SPJ1
"Bacteria in a culture can live for an average of two hours with a standard deviation of 15
minutes. How long can we expect at least 75% of the bacteria to live?"
75% of the bacteria to live for approximately 130.11 minutes
To answer your question, we'll be using the concept of standard deviation and the normal distribution.
Given that the average lifespan of bacteria in a culture is 2 hours (120 minutes) with a standard deviation of 15 minutes, we can expect at least 75% of the bacteria to live for a certain amount of time. Using the normal distribution, we can determine the corresponding z-score for the 75th percentile, which is approximately 0.674.
Now, we can apply the z-score formula:
z = (X - mean) / standard deviation
Rearrange the formula to solve for X (the time at which 75% of the bacteria will live):
X = mean + (z * standard deviation)
Plugging in the given values:
X = 120 + (0.674 * 15) ≈ 130.11 minutes
So, we can expect at least 75% of the bacteria to live for approximately 130.11 minutes.
To know more about standard deviation:
https://brainly.com/question/475676
#SPJ11
A line has vector form r(t) 2, 0) (3,-5). Find the coordinate functions of the line parametrized by: r(t) = 6t − 1, 9t 2 .
The coordinate functions of the line parametrized by r(t) = 6t - 1, 9t^2 are x(t) = 2t - (1/3) and y(t) = -10t^2/3 + (10t/3) - (5/9).
To find the coordinate functions of the line parametrized by r(t) = 6t - 1, 9t^2, we need to use the vector form of the line and substitute in the given values of t.
First, let's recall the vector form of the line which is r(t) = a + tb where r(t) is the position vector of a point on the line, a is a point on the line, t is a scalar parameter, and b is the direction vector of the line. In this case, we are given the direction vector as (3,-5) and a point on the line as (2,0). So, the vector form of the line is r(t) = (2,0) + t(3,-5).
Now, we need to find the coordinate functions by replacing t with the given values in the parametrization r(t) = 6t - 1, 9t^2.
For the x-coordinate function, we have:
x(t) = 2 + 3t
x(t) = 2 + 3((6t - 1)/9)
x(t) = 2 + 2t - (1/3)
So, the x-coordinate function is x(t) = 2t - (1/3).
For the y-coordinate function, we have:
y(t) = 0 - 5t
y(t) = 0 - 5((6t - 1)/9)^2
y(t) = 0 - 10t^2/3 + (10t/3) - (5/9)
So, the y-coordinate function is y(t) = -10t^2/3 + (10t/3) - (5/9).
Therefore, the coordinate functions of the line parametrized by r(t) = 6t - 1, 9t^2 are x(t) = 2t - (1/3) and y(t) = -10t^2/3 + (10t/3) - (5/9).
Know more about the coordinate functions
https://brainly.com/question/28842492
#SPJ11
Which of the following conditions must be met if you want to use z-
procedures to construct a confidence interval for a population proportion?
1. The sample size must be at least 30 (some texts say 50).
II. The population must be at least 10 times as large as the sample (some
texts say 20).
III. Both np and n(1-P) must be at least 10 (some texts say greater than 5).
A. I only
B. Il only
C. III only
D. II and Ill only
E. All are necessary conditions.
Answer: II and III only (2 and 3 only)
Step-by-step explanation: took test and got it right
Solve for .
2r +7= 16
r
Step-by-step explanation:
=> 2r + 7 = 16
=> 2r = 16 - 7
=> r = 9/2
=> r = 4.5
Answer:
r= 1/2
Step-by-step explanation:
Subtract 7 from both sides of the equation
2 + 7 = 1 6
2 + 7 − 7 = 1 6 − 7
Simplify
2 = 1 6 − 7
Subtract 16r from both sides of the equation
2 = 1 6 − 7
2 − 1 6 = 1 6 − 7 − 1 6
Simplify
-14r= -7
Divide both sides of the equation by the same term
− 1 4 = − 7
-14r=-7
− 1 4 − 1 4
Simplify
r= 1/2
If v2 = u2 + 2as, evaluate a when v = 5,
u = 2 and s = 7.
Answer:
a = 3/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
v² = u² + 2as
v = 5
u = 2
s = 7
Step 2: Evaluate
Subtract u² on both sides: v² - u² = 2asDivide 2s on both sides: (v² - u²)/(2s) = aRewrite: a = (v² - u²)/(2s)Substitute: a = (5² - 2²)/(2 · 7)Exponents: a = (25 - 4)/(2 · 7)Multiply: a = (25 - 4)/14Subtract: a = 21/14Simplify: a = 3/2The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
Option 1 I took the test
Step-by-step explanation:
on
Help with this math question. It’s phythagorean theorem im pretty sure, but please show working out. Once completed, you’ll have 25 points.
Answer:
80 degrees
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.
A random sample of 100 people was taken. eighty-five of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 80%. the test statistic is?
Answer:
Step-by-step explanation:
Sorry if this is different, but based on what I read, here is the answer.
100 x 0.85 = 85
therefor it is 85%, which is significantly more than 80%