Answer:
2t+5
Step-by-step explanation:
If a factory continuously pumps pollutants into the air at the rate of the quotient of the square root of t and 15 tons per day, then the amount dumped after 3 days isAll that is needed is to calculate an integral, I'd be happy to help as much as I can.
Step 1
To solve the problem, we need to integrate the given expression and evaluate using the given time.
\(\int_0^3\frac{\sqrt{t}}{15}dt\)\(\int_0^3\frac{1}{15}(t)^{\frac{1}{2}}dt\)\(=\frac{1}{15}(\int_0^3(t)^{\frac{1}{2}})dt\)\(\begin{gathered} Apply\text{ the power rule} \\ =\frac{1}{15}\left[\frac{2}{3}t^{\frac{3}{2}}\right]^3_0 \\ Compute\text{ the boundaries} \\ =\frac{1}{15}\left[\frac{2}{3}(3)^{\frac{3}{2}}\right]_^-\frac{1}{15}\left[\frac{2}{3}(0)^{\frac{3}{2}}\right]_^ \\ =\frac{1}{15}(\frac{2}{3}(3)(\:3^{\frac{1}{2}}))-0 \end{gathered}\)\(\begin{gathered} =\frac{2}{15}(\sqrt{3}) \\ =\frac{2\sqrt{3}}{15} \\ \end{gathered}\)\(\begin{gathered} \int_0^3\frac{\sqrt{t}}{15}dt=\frac{2\sqrt{3}}{15}=0.2309401077 \\ \int_0^3\frac{\sqrt{t}}{15}dt=0.231 \end{gathered}\)Answer; The amount dumped after 3 days is
\(0.231\)Please Help! This is due in 3 hours!
Answer:
Jayden: 9t+3s=420
Carson: 1t+6s=296
Step-by-step explanation:
I hope that helps =)
A clothes shop has a sale
In the sale, normal prices are reduced by 12 percent
The pprice of a coat is reduced by £9 in the sale.
Work out the normal price of the coat
If the normal price is x and the normal price is reduced by 12%
0.12x = 9 ⇒ x = 75
The normal price of the coat was £75 in the clothes shop.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A clothing store is having a sale. Normal prices are discounted by 12% during the sale. In the sale, the price of a coat is decreased by £9.
We have to determine the normal price of the coat.
Let the normal price of the coat would be £x
We have to evaluate 12% of x = 9
So, 12% of x = 9
12% is expressed as 12/100 in fractional form
⇒ (12/100)(x) = 9
12/100 is expressed as 0.12 in decimal form
⇒ (0.12)(x) = 9
⇒ x = 9/0.12
Apply the division operation, and we get
⇒ 75
Thus, the normal price of the coat was £75.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Please help me! Please and thank you!
Answer:
{13}
Step-by-step explanation:
A ∩ B ∩ C = the set of all elements that are in sets A and B and C
This is indicated in the Venn diagram by the region that is common to all three circles which is the darkly shaded region. There is only one element that is included in this region and that is 13
In roster form we write it as {13}
Helllpppppp don’t get it wrong I got 2 wrong already
How many degrees is the measure of ∠4
?
Answer:
Below
Step-by-step explanation:
Angle 4 + 60 + 61 = straight line = 180 °
angle 4 = 180 - 60 - 61 = 59°
PLS HELLLLPPPPPPPPPP To find the quotient 5/7 divided by 1/3.
A. multiply 7/5 by 1/3
B. multiply 7/5 by 3
C. multiply 5/7 by 3
D. multiply 5/7 by 1/3
a new car wash business records the number of cars it washes everyday for the first 7 days the business is open. The data are shown on the table.
DAY | NUMBER OF CARS WASHED
1 | 41
2 | 44
3 | 48
4 | 52
5 | 57
6 | 56
7 | 57
The car wash owner uses the equation y = x + 44 to model the data, where x represents the number of days the business has been open and y represents the number of cars washed.
Which explanation BEST describes whether the equation is a good fit for the data?
A) The equation is a good fit because the residual points are approximately linear
B) The equation is a good fit because the residual points have a positive association
C) The equation is not a good fit because a residual plot with the data set indicates a bad fit
D) The equation is not a good fit because there should be an equal number of points below and above the x-axis in the residual plot
(I apologize if the formatting gets screwed when I post this)
The equation y = x + 44 is not a good fit for the data because a residual plot with the data set indicates a bad fit. So, the correct answer is the equation is not a good fit because a residual plot with the data set indicates a bad fit
What does it mean if a residual plot shows a clear pattern in the residuals?If a residual plot shows a clear pattern in the residuals, it indicates that the model or regression line may not be fitting the data well.
In other words, there may be a problem with the model fit, and further investigation is needed to improve the accuracy of the model.
Why are residual plots important in regression analysis?Residual plots are important in regression analysis because they allow us to check the assumptions of the model and diagnose problems with the model fit.
They also help us identify outliers and influential data points, which can have a significant impact on the accuracy of the model.
To know more about residual plot, visit:
https://brainly.com/question/2876516
#SPJ1
Find the measure of the arc or angle indicated. Find QR Please help!!!
if angle 3 and angle 4 are corresponding angles, then their vertical angles are also corresponding angles
always sometimes or never
Explanation:
Drawing out a diagram usually helps with these types of problem. See the diagram below.
We have angle 3 and angle 4 as corresponding angles (since they are both in the north east corner of each four-corner configuration). Angle 1 = angle 3 is one pair of vertical angles and angle 2 = angle 4 is another pair of vertical angles. We see that angles 1 and 2 are corresponding angles in the south west corners of each four-corner configuration. That's why the original statement is always true.
2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
Learn more about period in: https://brainly.com/question/23532583
#SPJ1
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
one wall of patel's bedroom is 13 feet wide and 8 feet tall. a window on the wall is 3 feet high and 6 feet long. how much wallpaper would patel need to cover this wall.
Patel would need 86 square feet of wallpaper to cover this wall.
To calculate how much wallpaper Patel would need to cover the wall, we need to first calculate the area of the wall. The formula for the area of a rectangle is length x width. So the area of Patel's wall would be:
13 feet x 8 feet = 104 square feet
Next, we need to subtract the area of the window, as we don't need to cover that part of the wall. The area of the window would be:
3 feet x 6 feet = 18 square feet
So the area of the wall that needs to be covered with wallpaper would be:
104 square feet - 18 square feet = 86 square feet
Therefore, Patel would need 86 square feet of wallpaper to cover this wall.
for such more question on square feet
https://brainly.com/question/24487155
#SPJ11
there are 36 green, 22 white,30 purple, and 14 blue gumballs in the gumball machine. what is the probability of getting a white gumball
Can be written in Simplest form
Answer:
8\(\sqrt[3]{2}\)
Step-by-step explanation:
The cube root of -2 to the power of 10 is;
(-2)^10=2^10
2^10=(2^3)*(2^3)*(2^3)*2
You can factor out 2^3=8 of the cube root
So you get 8 times the cube root of 2
Question 19 (5 points)
Point A has the coordinates (-3,5). If you reflect A across the y-axis to point, A', what
are the coordinates of A'?
A.(-3,-5)
B.(-3,5)
C.(3,5)
D.(3,-5)
write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
Learn more about biconditional statement from
https://brainly.com/question/8663998
#SPJ1
Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
Please look at the image
Answer:
Step-by-step explanation: a is complementary b is 52° c is the same as a d is 142°
Answer:
b is 52° and A D is 142
Step-by-step explanation:
what is 7.950•100? and how to do it?
This problem uses the symbol •, which is another symbol to denote multiplication. Also, we are multiplying a decimal to 100. When multiplying such number, we move the decimal place to the right by two since we are multiplying the decimal by 100.
For this problem, we have
\(7.950\cdot100\)We are multiplying 7.950 by 100. This means that we move the decimal point two times to the right. Hence, 7.950 multiplied by 100 will yield
\(7.950\cdot100=795.0\)Answer: 795.0
Tony and Bobby each calculate the population of bacteria when t=5/2 hours.
Tony says that when t=5/2 hours, f(5/2) = (sqrt2)^5 bacteria.
Bobby says that f(5/2) = 4sqrt2 bacteria.
Who's correct?
Use definitions and rules to justify your reasoning. Then use the graph to estimate the value of f(5/2) as a decimal on a graph
None of them is correct and the value of f(5/2) is 1.6 to 1 decimal place
How to determine who is correctFrom the question, we have the following parameters that can be used in our computation:
f(x) = √x
Substitute 5/2 for x
So, we have
f(5/2) = √5/2
When the above is compared to their functions, we have no equivalent expression
This means that none of the notations is correct
Next. we have
f(5/2) = 1.6
Hence, the value is 1.6
Read more about functions at
https://brainly.com/question/28532394
#SPJ1
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
Help please! Which of the following tables represents a relation that is a function? Explained answer please
A
B
C
D
Answer:
Step-by-step explanation:
THE ANSWER TO YOUR QUESTION IS C.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.
(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.
(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.
(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
The triangle similarity criteria are:
AA (Angle-Angle)SSS (Side-Side-Side)SAS (Side-Angle-Side)(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.
12/8 = 9/6
1.5 = 1.5
(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.
(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.
14/10 = 21/15
1.4 =
(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.
SMK = 90⁰, 60⁰, 30⁰
QTR = 90⁰, 30⁰, 60⁰
Learn more about similar triangles here: brainly.com/question/27996834
#SPJ1
Benny collects 25 empty soda cans each day to bring to the recycling center. Let d represent the total
number of days he has been collecting cans. If he brought 175 cans to the recycling center, which
equation could be used to find the number of days Benny collected cans?
Answer:
234
Step-by-step explanation:
Answer:
175 divided by 25
Step-by-step explanation:
7 days
Which of the following sets of numbers could not represent the three sides of a triangle?
The set of numbers that could not represent the sides of a triangle is (d) {7,16,24}.
What is sets?In mathematics, a set is a collection of distinct objects, called elements or members, that are enclosed by a pair of braces { }.
In triangle, the length of one side must be less than the sum of the lengths of other two sides and greater than the difference between the lengths of other two sides.
Let's check each set of numbers to see if they satisfy this condition:
(a) {12,17,26}
12 < 17 + 26 and 12 > 26 - 17
17 < 12 + 26 and 17 > 26 - 12
26 < 12 + 17 and 26 > 17 - 12
These conditions are all satisfied, so {12,17,26} could represent the sides of a triangle.
(b) {12,20,29}
12 < 20 + 29 and 12 > 29 - 20
20 < 12 + 29 and 20 > 29 - 12
29 < 12 + 20 and 29 > 20 - 12
These conditions are all satisfied, so {12,20,29} could represent the sides of a triangle.
(c) {7,20,25}
7 < 20 + 25 and 7 > 25 - 20
20 < 7 + 25, but 20 is not greater than 25 - 7
25 < 7 + 20 and 25 > 20 - 7
The second condition is not satisfied, so {7,20,25} could not represent the sides of a triangle.
(d) {7,16,24}
7 < 16 + 24 and 7 > 24 - 16
16 < 7 + 24, but 16 is not greater than 24 - 7
24 < 7 + 16 and 24 > 16 - 7
The second condition is not satisfied, so {7,16,24} could not represent the sides of a triangle.
To know more about triangle visit:
https://brainly.com/question/20884523
#SPJ1
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
Read more about consecutive integers at:
https://brainly.com/question/10853762
#SPJ1
Find the derivative of f(w) = 2/(w^2-4)^5
The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)
We have,
To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.
Let's go through the steps:
First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)
Now, let's differentiate f(w) with respect to w:
\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)
To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.
Using the power rule, the derivative of (w² - 4) with respect to w is 2w.
Applying the chain rule:
\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)
Simplifying further:
\(f'(w) = -40w(w^2 - 4)^{-6}\)
Therefore,
The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)
Learn more about derivatives here:
https://brainly.com/question/25324584
#SPJ1
Please help me I was absent
Write a recursive formula for
Answer:
\(a(1) = 144\)
\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)
\(a(n) = - \frac{1}{6} a(n - 1)\)
Solve 1-4 to be mark brainiest and show your work!
Answer:
Hope you understand not to sure but that's what I got