Thi i a pond in the hape of a prim. It i completely full of water. Colin ue a pump to empty the pond. The level goe down by 20cm in the firt 30min. How many minute until completely empty
This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.
We have a pond which is completely filled with the water.
Area of the side face ( trapezium shaped)
= 1/2 x (1.4 + 0.6) x 2
= 2 m²
Volume = area x height (here width)
V = 2x1 = 2 m³
The level goes down by 20cm in the first 30 mins
Volume of water that will be taken down =
=0.2 x 1 x 2
=0.4 m³ ( upper water will form cuboid face)
Now,
⇒0.4 m³ water is taken out in 30 minutes
⇒1 m³ water is taken out in 30/0.4 minutes
⇒2 m³ water is taken out in 30/0.4 x 2 minutes
⇒30x2/0.4
⇒150 minutes.
So the pond will be completely empty in 150 min that is 2hrs30mins.
Learn more about Pond based question:
https://brainly.com/question/20908312
#SPJ4
I have pp how meany incehes is it ? A(5in B(100in C(50in D(10000in
Answer:
Non of the Above
Step-by-step explanation:
You are an Alpha male its atleast 2500ft
A color printer prints 14 pages in 6 minutes.
How many minutes does it take per page?
Answer:
2.67 minutes per page
Step-by-step
this question was already on brainly ,,,,,,,,,,,,,,,,,,,,,,,
Answer:
2.33
Step-by-step explanation:
All you have to do is divide 14 and 6 and you will get 2.33
(5b-4)1/5
Need help simplify expression plz
Answer:
(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5
In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angle EBC
Answer: all I know is that the answer is n/6 cause I kept getting it wrong and it told me.
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explanation:
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
Hence, the correct option is (a).
need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only
Answer:
True
Step-by-step explanation:
integers like 5 or 4 can be put over one to be a fraction.
For example: 5/1 or 4/1
Answer:true
Step-by-step explanation:
they can
eg 1/1, 7/1
Please please I beg you help me.
Answer:
-224t
This is all you had to do and hear is the annswer
in a recent survey, respondents were asked to rate a new shampoo on a scale of 1 to 10. only three people responded. their ratings were 2, 2, and 5. what is the mean of this sample? a. 3 b. 2 c. 5 d. 9
To find the mean of a sample, we sum up all the individual values and divide by the total number of values. In this case, we have three respondents with ratings of 2, 2, and 5.
Mean = (2 + 2 + 5) / 3 = 9 / 3 = 3
The mean of this sample is 3, which represents the average rating given by the respondents. It indicates that, on average, the respondents rated the new shampoo as a 3 on a scale of 1 to 10. Therefore, the correct option is (a) 3. The mean provides a measure of central tendency and helps to understand the overall rating of the shampoo based on the responses received.
To learn more about mean : brainly.com/question/31101410
#SPJ11
If you have 3 means that need to be compared, you should not simply do multiple t-tests because ________.
a. it's too time consuming.
b. the joint alpha level decreases.
c. you inflate the experiment wise alpha.
d. you will be forever shunned by statiscians.
Cost of boots: $99.99
Markup: 9%
What is the new cost?
Answer:
New cost of Boots is $108.98
Step-by-step explanation:
Original Cost of boots : $99.99
Markup = 9%
New Cost of boots = ?
We will find 9% of $99.99 and add the answer in $99.99 to find new cost of boots.
Finding 9% of $99.99
\(=\frac{9}{100} \times 99.99\\= 8.99\)
New cost will be:
New cost of Boots= Original Cost of boots + Markup
New cost of Boots= 99.99 + 8.99
New cost of Boots= $108.98
So, New cost of Boots is $108.98
HELP ASP!!!!!!!!!!!!!!!!
Answer:
Question 1 is C
Step-by-step explanation:
Answer:
a: top right 1 top left 2 bottom left 3 bottom right 4
c: axis going horizontal is the x axis and the axis going vertical is the y axis
d: origin is the very middle and it is (0,0)
Step-by-step explanation:
simplify 5(2x-4)-3(x+6) /15
Answer:
Your answer is: 7x-38/15
Step-by-step explanation:
Hope this helped : )
Assuming that a 280-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be 60°, how far from the base of the tree am I? (Round your answer to four decimal places. )
You are approximately 161.5566 feet away from the base of the tree.
To determine the distance from the base of the tree, we can use trigonometry and the concept of tangent.
Let's denote the distance from the base of the tree as "x."
We have a right triangle formed by the tree, the distance from the base, and the angle of elevation. The opposite side of the triangle is the height of the tree, which is 280 feet, and the adjacent side is the distance from the base, denoted as "x."
Using the tangent function, we have:
tan(60°) = opposite/adjacent
tan(60°) = 280/x
To solve for x, we can rearrange the equation:
x = 280 / tan(60°)
Using a calculator, we can evaluate the expression:
x ≈ 280 / 1.7321 ≈ 161.5566
Know more about trigonometry here:
https://brainly.com/question/31896723
#SPJ11
Can someone please help me I have been stuck what one
Answer:
The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A
Step-by-step explanation:
Let us solve the question
From the given graph
∵ The arrow starts from 1 and pointed to the left (negative part)
∵ The starting point of the arrow is bold
∴ The sign of the inequality is ≤ (smaller than or equal)
→ That means the solution of the inequality is all the numbers ≤ 1
∴ The solution of the inequality is n ≤ 1
→ Look at the choices and find which one has the sign ≤ and check if
it will give the same solution or not
∵ The inequality is 2n + 5 ≤ 7
→ Subtract 5 from both sides
∴ 2n + 5 - 5 ≤ 7 - 5
∴ 2n ≤ 2
→ Divide both sides by 2
∴ n ≤ 1
∵ The inequality gives the same solution of the given graph
∴ The inequality matches the graph is 2n + 5 ≤ 7
3 Ib/sec ≈ ? kg/h
please help
The complete equation is 3 lb/sec ≈ 4897.0806 kg/h.
How to complete the conversionFrom the question, we have the following parameters that can be used in our computation:
3 Ib/sec ≈ ? kg/h
To convert pounds per second (lb/sec) to kilograms per hour (kg/h), we can use the conversion factor: 1 lb = 0.45359237 kg.
So, 3 lb/sec = 3 * 0.45359237 kg/sec = 1.361 kg/sec
To convert from per second to per hour, we multiply by the number of seconds per hour:
1.3607771 kg/sec * 3600 sec/hour = 4897.0806 kg/h
Therefore, 3 lb/sec ≈ 4897.0806 kg/h.
Read more about metric unit at
https://brainly.com/question/18037963
#SPJ1
A student is taking a multiple-choice math test. He has two questions left to answer. The first question has the four answer choices of A, B, C, and D. The second question has the five answer choices A, B, C, D, and E. The student randomly selects an answer for each question. Construct a sample space showing all the possible outcomes the student could answer the two questions
There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes.
What is Sample Space ?A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are the subset of possible experiment results.The results in a sample area could vary depending on the experiment. Discrete or finite sample spaces are those that have a finite number of outcomes.
The sample space showing all possible outcomes of the two questions is the Cartesian product of the two sets of answer choices, which is:
{(A, A), "(A, B), "(A, C), "(A, D), "(A, E), "(C, A), "(C, B), "(C, C), "(C, D), "(C, E")," "(D, A), "(D, B), "(D, C), "(D, D), "(D, E)}.
There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes. Each outcome is a pair of answers, where the first element of the pair is the answer to the first question and the second element of the pair is the answer to the second question.
Learn more about sample space , visit:
https://brainly.com/question/30206035
#SPJ1
I WILL GIVE BARINLIEST TO THE FIRST PERSON WHO ANSWERS MY QUESTION!!!!!
Can someone please help me? I really need the help right now.
Which of the following is equal to g(x)?
A. 2(x + 2)
B. 2x + 2
C. 2x - 2
D. 2(x - 2)
( Also I am bo*red...Can someone talk to me.....Anyone...Idc who you are....Unless your cr33py then I care)
Using translation concepts, the formula for function g(x) is given by the following option:
D. g(x) = 2^(x - 2)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
From the graph of the functions, we have that:
f(x) = 2 when x = 1.g(x) = 2 when x = 3.f(x) = 4 when x = 2.g(x) = 4 when x = 4.This means that g(x) is a shift right of 2 units of f(x), that is:
g(x) = f(x - 2).
Hence:
g(x) = 2^(x - 2)
The formula for function g(x) is given by the following option:
D. g(x) = 2^(x - 2)
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Use the Principle of Mathematical Induction to prove that for all positive integers n, ∑
i=1
n
(3i−2)=
2
n
(3n−1) Recall that you must write all proofs in this course in complete, grammatically correct sentences that begin with English words and end in periods.
The Principle of Mathematical Induction can be used to prove that for all positive integers n, ∑i=1n(3i−2)=2n(3n−1).
The base case is n = 1. In this case, the sum is (3 * 1 - 2) = 1, and 2 * 1 * (3 * 1 - 1) = 1. Therefore, the sum is equal to 2n(3n - 1) for n = 1. The inductive step is as follows. Assume that the sum is equal to 2n(3n - 1) for some positive integer k. Then, the sum for k + 1 is
∑i=1k+1(3i−2)=(3(k+1)−2)+∑i=1k(3i−2)=2(k+1)(3(k+1)−1)
The first term on the right-hand side is equal to 2(k + 1) - 2 = 2k, and the second term on the right-hand side is equal to 2k(3k - 1). Therefore, the sum for k + 1 is also equal to 2n(3n - 1).
Since the base case is true and the inductive step is true, the Principle of Mathematical Induction can be used to conclude that the sum is equal to 2n(3n - 1) for all positive integers n.
To learn more about Mathematical Induction click here : brainly.com/question/29503103
#SPJ11
What is 50% as a fraction in simplest form?
Answer:
50% is 1/2 as a fraction
Step-by-step explanation:
50% = 50/100 = 1/2
Answer:
1/2
Step-by-step explanation:
Explanation:
"Percent" or "%" means "out of 100" or "per 100", Therefore 50% can be written as: 1/2
5x + 4 - 2x + 2 - 3y
Answer:
Step-by-step explanation:
Which property is illustrated by the statement 3 1 = 3?
A Associative
C. Distributive
B. Commutative
D. Identity
Given the numbers 36, 42 and 48, find the common factors of the three numbers. he
Answer:
6
Step-by-step explanation:
6 x 6 =36
6 x 7 = 42
6 x 8 = 48
You and your coworker together make $16 per hour. You know your coworker earns 10 percent more than you do. Your hourly wage is $ ___. After taking Math 1010 your hourly wage is raised to $12. This is a raise of ___ %. After returning to work you can't help mentioning casually to your coworker that now you make ___ % more than he does. He responds wistfully that this is as it should be since now you can figure problems like the ones on this assignment!
After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.
The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.
Learn more about hourly wage here
https://brainly.com/question/1582269
#SPJ11
Find the general rule for: 64, -32, 16, -8,..
Answer:
Xn = (-1/2) Xn-1
Step-by-step explanation:
4. Describe the zeroes of
f(x) = 4x^5 + 48x^4 + 144x^3
with multiplicity
with multiplicity
Answer:
392
Step-by-step explanation:
Answer:
Final answer: x=0 m:3 and x=-6 m:2
Step-by-step explanation:
1. 4x³(x²+12x+36)- Divide by greatest common factor, to simplify.
2. 4x³(x+6)(x+6)- Factored
3. 4x³ = 0 Set each factor equal to zero
4. x+6=0 x+6=0
So, x= -6, two times, mulitiplicity 2
So, 4x³=0, so x=0 three times, mulitiplicity 3
Final answer: x=0 m:3 and x=-6 m:2
For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
Help me fix this (image attached)
The value of x from given quadrilateral ABCD is 27°.
In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.
We know that, the sum of interior angles of quadrilateral is 360°.
Here, ∠A+∠B+∠C+∠D=360°
3x+5+2x+15+4x+4x-10=360°
13x+10=360°
13x=350°
x=350/13
x=26.9
x≈27°
Therefore, the value of x from given quadrilateral ABCD is 27°.
Learn more about the quadrilaterals here:
https://brainly.com/question/29934440.
#SPJ1
Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 3.
Dr. Baker, a veterinarian, recorded the weight of each newborn kitten her office saw today.
Kittens' weights (g)
100
120
140
160
180
200
Answer:
30 grams is the answer
As per the given data, the interquartile range of the kittens' weights is 60 g.
What is interquartile range?The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles.
The IQR is the range between the first quartile (Q1) and the third quartile (Q3). It represents the range of the middle 50% of the data set.
To find the interquartile range (IQR) of the kittens' weights, we need to first find the median and the quartiles.
Find the median (Q2):
The median is the middle value when the data is arranged in order. In this case, we have an even number of data points, so we take the average of the two middle values:
100, 120, 140, 160, 180, 200
The middle values are 140 and 160, so the median is:
(Q2) = (140 + 160) / 2 = 150
Find the first quartile (Q1):
The first quartile is the middle value of the lower half of the data. To find Q1, we take the median of the lower half:
100, 120, 140
The median is 120, so Q1 is:
Q1 = 120
Find the third quartile (Q3):
The third quartile is the middle value of the upper half of the data. To find Q3, we take the median of the upper half:
160, 180, 200
The median is 180, so Q3 is:
Q3 = 180
Calculate the interquartile range:
The interquartile range is the difference between the third and first quartiles:
IQR = Q3 - Q1 = 180 - 120 = 60
Therefore, the interquartile range of the kittens' weights is 60 g.
For more details regarding interquartile range, visit:
https://brainly.com/question/29204101
#SPJ2