A 1,000-gallon holding tank initially contains 200 gallons of water that is contaminated by 100 pounds of gunk. A pipe is dumping more contaminated water into the tank at a rate of 16 gallons per minute. The concentration of gunk in this incoming water is 0.6 pounds per gallon. A second pipe is taking the well mixed solution out of the tank at a rate of 14 gallons per minute. How much gunk will be in the tank when the tank is full
Answers
Answer:
600 pounds of gunk
Step-by-step explanation:
Given data:
Initial volume of water = 200 gallons
Initial mass of gunk = 100 pounds
dumping rate of pipe( contaminated water into tank ) = 16 gallons per minute
concentration of Gunk = 0.6 pounds / gallon
removal rate of second pipe = 14 gallons per minute
Determine how much gunk will be in the tank when the tank is full
Amount of gunk when tank is full = 599.99 pounds ≈ 600 pounds ≈
Attached below is a detailed solution
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ANSWER FAST I JUST NEED ANSWER HURRY PLSSSS!
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Answer:
1?
Step-by-step explanation:
im not sure im prolly wrong and not fast enough
Simplify the expression. 7x + 6 + 3x -2 -5x
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Answer:
5x+4
Step-by-step explanation:
5x + 6 - 2
5x + 4
Find the area of the figure.
plz i give brainliest.
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Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2
A $1,200 computer is losing value at a rate of 22% per year; 2 years
Answers
Answer:
$730.08
Step-by-step explanation:
22% = 0.22
1 - 0.22 = 0.78
Value after 2 years
v = 1200(0.78)²
v = 730.08
$730.08
sec 330 find the exact value in simplest form with a rational denominator
Answers
Answer:
[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
write the first five terms of the sequence.. NO LINKS!!!
Answers
Answer:
5,50,500,5000,50000
Step-by-step explanation:
The first term is given
a1 =5
The second term is when n=2
a2 = 10 * a1 = 10 * 5 = 50
The third term is when n=3
a3 = 10 * a2 = 10 * 50 = 500
The fourth term is when n=4
a4 = 10 * a3 = 10 * 500 = 5000
The fifth term is when n=5
a5 = 10 * a4 = 10 * 5000 = 50000
Find X. Please show steps, thank you.
Answers
Answer:
C=10
Step-by-step explanation:
Which inequality represents the situation written below?
The temperature outside today should be at least 40 degrees.
Answers
Answer:
at least 40 means minimum 40.
option G
Which of the following statements is TRUE if angle 4 has a measure of 127°?
If you can’t see the answer choices I apologize, but you can zoom in the photo.
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answers
Answer:
A
Step-by-step explanation:
the sum of angle 1 and angle 4 is 180
the answer is A because 53 + 127 = 180
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
Answers
Solutions to quadratic equation 4x^2+5x+1=0
Answers
A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above
Answers
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
Lisa plays soccer 3 out of the 7 days of the week. How many possible schedules are there to play
soccer on Monday or Tuesday or both.
Ex: 5
Answers
Answer:
There are 25 possible schedules.
Step-by-step explanation:
The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Monday but not Tuesday:
Monday(1) and 2 out of the remaining 7 - 2 = 5. So
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Tuesday but not Monday:
Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Monday and Tuesday:
Monday and Tuesday(1), plus one out of the remaing 5 days. So
[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]
Total:
10 + 10 + 5 = 25
There are 25 possible schedules.
The difference of two numbers is 3. Their sum is 13.
Answers
Answer:
8 and 5
Step-by-step explanation:
Help! Cant figure out math question!
Answers
x = 1.76
Are the two possible values for X
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answers
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answers
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
pls help djehhxhxhxhxhxjjdndnd
Answers
Area of both the triangles :
= ½ × base × prepenicular
= ½ × 3 × 4
= 3 × 2
= 6 × 2 = 12 ( We have two triangles)
Area of semicircle :
= πr²/2
= 3.14 × 3 × 3 /2
= 28.26/2
= 14.13
Total area = 12 + 14.13 = 26.13 = 26.130
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answers
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
The solid below is made of twelve identical rectangular prisms. The overall dimensions of the composite solid are 36 inches (in.) by 36 inches by 24 inches. What is the volume, in cubic inches, of a single prism?
Whoever answers correctly will get Brainliest.
Answers
Answer:
A
Step-by-step explanation:
Volume of the solid = base x width x height = 36 x 36 x 24 = 31 104 in^3
Volume of one prism = total volume / 12 = 31 104 / 12 = 2592 in^3
Find the value of x
Answers
Answer:
x = 30
Step-by-step explanation:
24(24 + x) = 36² => tangent-secant theorem
Open the bracket
24*24 + 24*x = 36²
576 + 24x = 1,296
24x = 1,296 - 576
24x = 720
Divide both sides by 24
24x/24 = 720/24
x = 30
In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both
Answers
Answer:
7/30
Step-by-step explanation:
We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10
Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9. Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30
Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time. a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.
Answers
You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.
After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.
Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.
The probability exists a branch of mathematics in which the events of investigations happening exist estimated.
b) 50% probability that Dan and randy will flip the same thing.
25% of heads and 25% of tails.
What is the classical definition of probability?Probability exists the analysis of the circumstances of event of a result, which exists received by the ratio between favorable cases and possible cases.
b) 50% probability that Dan and randy will flip the same thing.
25% of heads and 25% of tails.
Complete question:
Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time.
a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.
b. What is the probability that Dan and Randy will each flip the same thing. (Either they will both flip 'heads' or they will both flip 'tails'.)
To learn more about probability
https://brainly.com/question/13604758
#SPJ2
1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answers
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
HELP ME ON THIS PLEASEEEE!!!
The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
sister, write and solve a system of equations using ) to represent Jahiem's age and s
to represent his sister's age
Answers
Step-by-step explanation:
ANSWER He is 14 and she is 7 because 21 - 7 is 14
please help
writing in terms of i
Answers
Answer:
[tex]4i \sqrt{6} [/tex]
16 In a flower fertilisation experiment, the
number of pink flowers grown is twice that
of red flowers. The number of white flowers
grown is 3 more than that of red flowers.
The number of white flowers grown is
37 fewer than that of pink flowers. Find the
total number of flowers grown.
Answers
Answer:
The total number of flowers grown is 163.
Step-by-step explanation:
Since in a flower fertilization experiment, the number of pink flowers grown is twice that of red flowers, and the number of white flowers grown is 3 more than that of red flowers, the number of white flowers grown is 37 fewer than that of pink flowers, to find the total number of flowers grown the following calculation must be performed:
P = 2R
W = R + 3
W = P - 37
W = W
R + 3 = 2R - 37
R + 3 + 37 = 2R
40 = 2R - R
40 = R
P = 2 x 40 = 80
R = 40
W = 40 + 3 = 43
80 + 40 + 43 = X
163 = X
Therefore, the total number of flowers grown is 163.
P
Jimmy tried to solve the system of equations below, but he made an error
S 2.0
y=18
y= 40 +2
His work is shown. Find the error he made. Explain the error and show how to solve the sysm correctly.
1. 2.0 - 4.3 + 2 = 18
2.-2x = 16
3. = -8
4. y=4(-8) + 2
5. Y = -32 +2
6. y=-30
7. Check: 2 (-8) - (-30) = 18
8.
- 16 + 30 = 18
9 14 + 18
His mistake was on Line
because he should have
The correct solution is
Answers
Answer:
"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."
The correct solution is: x = -10, y = -38
Step-by-step explanation:
2x - y = 18
y = 4x + 2
Substitute the given value for y into the first equation:
2x - (4x + 2) = 18
2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y
-2x -2 = 18
add 2 to both sides
-2x = 20
divide by -2
x = -10
-------------------
solve for y
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
------------------
Check the math:
2x - y = 18
2(-10) - (-38) = - 20 + 38 = 18
Which graph represents the compound inequality?
-3
-5 -4 -3 -2 -1 0 1
2
3 4
5
-5 4 -3 -2 -1 0 1
2 3 4 5
-5 4 -3 -2 -1 0 1
2
3
4
5
OG
-5 4 -3 -2 -1 0 1 2 3 4 5
Answers
Answer:
4th option
Step-by-step explanation:
open circle means more than or less than
n is more than -3 but less than 1
NEED HELP NOW!
Question 4(Multiple Choice Worth 5 points) (07.06A MC) What is the initial value of the function represented by this table?