Answer:
six
Step-by-step explanation:
A tank contains 250 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Answer:
[tex]A(t)=250-230e^{-\frac{t}{50} }[/tex]
Step-by-step explanation:
A(t) is the amount of salt in the tank at time t.
dA / dt = rate of salt flowing into the tank - rate of salt going out of the tank
dA / dt = (1 g/L)*(5 L/min) - (A(t)/250 g/L) * (5L/min)
dA / dt = 5 g/min - (A(t) / 50) g/min
[tex]\frac{dA}{dt}+\frac{A(t)}{50} = 5\\\\The\ integrating\ factor(IF)= e^{\int\limits \frac{1}{50}dt }=e^{\frac{t}{50} }\\\\Multiplying\ through\ by\ the\ I.F:\\\\\frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} } = 5*e^{\frac{t}{50} }\\\\Integrating \ both \ sides:\\\\\int\limits[ \frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} }] dt=\int\limits 5e^{\frac{t}{50} } dt\\\\A(t)e^{\frac{t}{50} } =\int\limits 5e^{\frac{t}{50} } dt\\\\[/tex]
[tex]A(t)e^{\frac{t}{50} } =250e^{\frac{t}{50} }+C\\\\A(t)=250+Ce^{-\frac{t}{50} }\\\\But\ A(0) = 20\\\\20=250+Ce^{-\frac{0}{50} }\\\\C+250=20\\\\C=-230\\\\A(t)=250-230e^{-\frac{t}{50} }[/tex]
On your math quiz, you earn 5 points for each question that you answer correctly. In the equation below, x represents the number of questions that you answer correctly on your math quiz, and y represents the total number of points that you score on your quiz.
Answer:
you earn 25 because 5x5 is 25
Step-by-step explanation:
Answer:
Dependent-y
Independent-x
Step-by-step explanation:
YES or NO for each statement
A student answers 90% of the math questions on a math test correctly. If he answers 27 questions correctly how many questions are on the test?
So 30 questions on the test
27 ÷ 90 = 30
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
Let g be the function given by g(x)=√ 1−sin2x. Which of the following statements could be false on the interval 0≤x≤π ?
The statement that could be false on the interval is if x is greater than π/2
Given the function g(x)=√ 1−sin2x
We are to get the value of x that will make the function not exist. For the function not to exist, hence:
sin2x> 1
Solve the expression for x
2x > arcsin(1)
2x > π
x > π/2
This shows that the statement that could be false on the interval is if x is greater than π/2
Learn more here: https://brainly.com/question/18738481
Answer the statistical measures and create a box and whiskers plot for the following set of data
2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19
Min:
Q1:
Med:
Q3:
Max:
Answer: 478161
Step-by-step explanation:
93 = 2x + 18 + x = 3x + 18
Answer:
x=25
Step-by-step explanation:
To get this answer you need to simplify everything that you can. So basically, first you would combine 2x and x to get 3x+18. Note that you don't need to use the second part of the equation if you don't want to. Same with the third because they are all equal. Noting this, you subtract 18 from both sides of the equation leaving you with 75= 3x. Proceed to divide both sides by three and end with the answer 25=x.
Stephen buys a melon and divided into six servings he eats 1/3 of the melon or over the weekend how many slices of melon does Stephen eat over the weekend?
Answer:
2 slices
Step-by-step explanation:
As given, Stephen buys a melon and divides it into 6 servings. And he eats 1/3 melon over the weekend. Hence, Stephen eats 2 slices over the weekend.
An elevator started at the first floor and went up 18 floors. It then came down 11 floors and went back up 10. At what floor was it stopped?
Answer:
It then came down 11 floors and went back up 16. At what floor ... an elevator started at the first floor and went up 18 floors. It then ... up 16. At what floor was it stopped. 1 ... hassalmughal10 is waiting for your help. Add your
Find the degree of the monomial.
8b^7c^2
The degree of the monomial is?
Answer:
49c2
Step-by-step explanation:
For the following sample of n 5 10 scores:
a. Assume that the scores are measurements of a discrete variable and find the median.
b. Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
Scores: 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Answer:
Step-by-step explanation:
Given that:
scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Since the scores are already in ascending order; then the median which is the middle number will be:
median = (5th term + 6 term)/2
median = (5+5)/2
median = 10/2
meian = 5
b)
Use the cumulative percentage table
X frequency cumulative frequency cumulative percentage
2 1 1 10%
3 1 2 20%
4 2 4 40%
5 3 7 70%
6 2 9 90%
7 1 10 100%
fraction = the no. required to reach 50%/ no. in that interval
= 1/3
Since we have a total of 4 boxes when we reach the value of 4.5
The median of the continuous variable = 4.5 + (1/3)
The median of the continuous variable = 4.833
The median of the continuous variable ≅ 5
Answer:
Step-by-step explanation:
Given that:
scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Since the scores are already in ascending order; then the median which is the middle number will be:
median = (5th term + 6 term)/2
median = (5+5)/2
median = 10/2
median = 5
what is the missing number in 100+
blank=1,0000
Answer:
9900
Step-by-step explanation:
Answer:
0.01
Step-by-step explanation:
write the equation of the line
that passes through the points.
(-1, -7) and (1, 3)
describe the possible values of a
Answer:
its the second one can u make me brain list
Step-by-step explanation:
Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:
Period Fertilizer Sales Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable predictions?Explain.
b. Obtain a linear regression line for the data.
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.
Answer:
R = 0.8815 ;
y = 6.14679X + 2.33028 ;
14.624
Step-by-step explanation:
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
y = 6.147X + 2.330
With ;
Slope or gradient being 6.147
Intercept = 2.330
C.)
x = 2
y = 6.147X + 2.330
y = 6.147(2) + 2.330
y = 14.624
Whats 9000 times 20 to the 18th power?
Answer:
2.359296x10^27
Step-by-step explanation:
Answer:
sorry going to the 18th power is a bit too much. however 9,000 x 20 = 18,000
Step-by-step explanation:
Type the slope-intercept equation of the line that passes through the points (6, 5) and (-6, -4)
Answer:
y=3/4x+1/2
Step-by-step explanation:
slope intercept form: y=mx+b
find the slope with y2-y1/x2-x1: (-4-5)/(-6-6)= 3/4
substitute one of the coordinates in the equation with the slope: 5=3/4(6)+b
solve to find b:
b=1/2
substitute in the equation:
y=3/4x+1/2
Round 2,542 to the nearest thousand
Answer:
The answer is 3,000 because the 5 next to the 2 make it go up
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
5 or bigger round up
4 or smaller round down
Evaluate -2x^2y, if x=-3 and y=-1.
-12
18
O 12
-18
Answer:
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
questions
Step-by-step explanation:
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
HELP FAST FAST FAST FAST
Answer:
H.
Step-by-step explanation:
Look closely, and eliminate the ones that don't work.
[tex]7 5/8 - 4 2/8=[/tex]
Answer is [tex]\frac{33}{8}[/tex]
help with my geometry!!
Answer
(6,4)
Step-by-step explanation:
I think that is the answer and I am sorry if it is wrong!
How do you solve the equation
Please explain
Answer:
x=27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5/3x-4/3x-1=8
5 /3 x+ −4 /3 x+−1=8
(5 /3 x+ −4 /3 x)+ (−1) =8 (Combine Like Terms)
1/3x-1 =8
1/3x=9
(1/3 x) x 3 = 3 x 9
x=27
Answer: x=27
Step-by-step explanation: if you want to Solve for X, you have to by simplify both sides of the equation, then isolating the variable.
Valencia is solving this number riddle using guess and check. What number multiplied by eight is equal to forty? Valencia must find . To use guess and check, Valencia can different numbers by . multiplied by eight is equal to forty.
Answer:
first one is A second on is C third is B fourth is B HOPE THIS HELPS
Answer:
1. A
2.C
3.B
4.B
Step-by-step explanation:toke test
factor the expression: 14 + 28
Answer:
14 + 28 = 42
Step-by-step explanation:
2 x 3 x 7
find the value of x
a. 5
b. 11
c. 7
d. 3
wich of these can be write as an equation
A test has 20 questions. If Peter gets 80% correct, how many questions did Peter miss?
Answer:
4
Step-by-step explanation:
20 x 0.80
16 - 20
Answer:
4 questions
Step-by-step explanation:
4 wrong = 80%
My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.