1) A tank can be filled by one pipe in 9 minutes and drained by another pipe in 12 minutes. Write an equation that could be used to determine how long it will take to fill the tank if the two pipes are open at the same time.
A. 1/9 + 1/12 = 1/t
B. 1/12 - 1/9 = 1/t
C. 1/9 - 1/12 = -1/t
D. 1/9 - 1/12 = 1/t
E. -1/9 - 1/12 = -1/t
F. -1/9 - 1/12 = -9/t
2) Determine how long it will take the fill the tank in question 1.
A. 44 minutes
B. 25 minutes
C. 18 minutes
D. 3 minutes
E. 36 minutes
F. 9 minutes
3) A tank can be filled by a pipe in 8 hours. The tank can be emptied by another pipe in 12 hours. If the pool is empty, and both pipes are open, how long will it take to fill the tank?
A. 24 hours
B. 30 hours
C. 18 hours
D. 14 hours
E. 27 hours
F. 32 hours
4) Type A cream is 18% butterfat and type B cream is 24% butterfat. Set up a table to help you determine how many quarts of each type of cream must be used to create a 90 quart mixture that is 22% butterfat.
Answers are the attached photos.
5) Solve the problem in question 4.
A. 40 quarts of Type A cream and 50 quarts of Type B cream are needed.
B. 60 quarts of Type A cream and 30 quarts of Type B cream are needed.
C. 24 quarts of Type A cream and 66 quarts of Type B cream are needed.
D. 30 quarts of Type A cream and 60 quarts of Type B cream are needed.
E. 18 quarts of Type A cream and 72 quarts of Type B cream are needed.
F. 35 quarts of Type A cream and 55 quarts of Type B cream are needed.
Thanks!
Answer:
1). 1/9 - 1/12 = 1/t
2). 36 minutes
3). 24 hours
4). 30 quarts of Type A cream and 60 quarts of Type B cream are needed
Step-by-step explanation:
Find the slope on the line graphed below
Answer:y=-2x+6
Step-by-step explanation:
y=-2x+6
What percent is represented by the shaded area khan academy
someone please help i will give brainliest
From the two functions function 2 has the highest maximum value.
Given two functions,one is y=-\(x^{2} -2x-2\) and f(-2)=1,f(-1)=6,f(0)=9,f(1)=10,f(2)=9,f(3)=6.
We ae required to choose a function which is having highest maximum possible value.
Function is like a relationship between two or more variables expressed in equal to form. Each value of x of a function has some value of y.
The highest value in the second function is 10 which is at x=1. Put the value of x=1 in y=-\(x^{2} -2x-2\).
y=-1-2-2
y=-5
So it might not be highest value of this function.So the second function has highest maximum value of 10 at x=1.
Hence the second function has highest value.
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what is nominal data involved the use of variables that have been rank ordered?
Data can be divided on the basis of qualitative nature into two types as follows:
Nominal data - Nominal data is defined as a type of qualitative data where variables are grouped into categories. They do not follow any specific order. For example, people can be categorised according to their sex as male, female or transgender.Ordinal data - Ordinal data is defined as a type of data that can be divided into categories with following any kind of order, that is the data can be ranked.Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.
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Let an 7n 4n + 1 (a) Determine whether {an} is convergent. convergent O divergent (b) Determine whether an is convergent. n = 1 convergent O divergent
The limit exists and is finite, therefore the sequence {an} is convergent.
To determine whether {an} is convergent or divergent, we need to look at the limit of the sequence as n approaches infinity.
(a) To find the limit, we can divide both the numerator and denominator by the highest power of n (which is 7n in this case):
an = (7n)/(7n) + (4n + 1)/(7n)
Taking the limit as n approaches infinity:
lim n→∞ (7n)/(7n) + (4n + 1)/(7n)
= 1 + 0
= 1
Since the limit exists and is finite, we can conclude that the sequence {an} is convergent.
(b) To find the value of the limit, we can simply plug in n = 1:
a1 = (7(1))/(7(1)) + (4(1) + 1)/(7(1))
= 1 + 5/7
= 12/7
Since the value of a1 is finite, we can conclude that the sequence {an} is convergent.
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A 14 foot ladder is placed against a wall. It is placed 5 feet from the base of the wall.
Answer:
c = 18.47
Step-by-step explanation:
This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:
1. \(a^{2}\) + \(b^{2}\) = \(c^{2}\)
2. \(5^{2}\) + \(14^{2}\) = \(c^{2}\)
3. 25 + 196 = \(c^{2}\)
4. 221 = \(c^{2}\)
5. \(\sqrt{221}\) = c
6. 18.47 = c
PLEASE HELP I DONT UNDERSTAND PLEASE PUT IT WITH AN EXPLANATION YOU WILL GET 50 POINTS AND A BRAINLIEST!!!!!!!!!
1. is perpdicul. 2. is parrell 4. is perpdicul 3. is right angels. 5. is parrell. 6. is right angle
Answer:
2,5 is parallel 3,6 is perpendicular 1,4 is intersecting lines
Step-by-step explanation:
Hope this helps btw feel free to report me if im wrong
Intersecting lines 'intersect' each other, but do not form a right angle. Perpendicular lines ALWAYS form a right angle. Think of these as a 4-way intersection in a big city, such as New York. Parallel lines NEVER intersect each other. Think of these as train tracks.
linear equation 7(v+4)-4v=7
Answer: v= -7
Step-by-step explanation:
⇒7(v + 4) - 4v = 7
⇒7v + 28 - 4v = 7
⇒7v - 4v = 7 - 28
⇒3v = - 21
⇒ v = - 21/3
⇒ v = - 7
Procedure : As in Question, It was given 7(v - 4) - 4v = 7.. Now first we'll multiply 7 × v & 7 × 4 which in result will be 7v & 28 with addition sign in mid, Equal to 7.. Now, After multiplying terms your second step, will be to combine common terms.. transposing L.H.S to R.H.S & Vice Versa. Remember! Same variables & Same Constant terms can only operated.After Transposing, according to the variables, your equation will be like.. (7v - 4v = 7 - 28).Now, You can easily calculate the values but didn't you noticed one thing, that when we transposed 28 to R.H.S.. positive 28 became Negative... i.e. (-28).. Rememember (-) when transposed to any side becomes (+) with the constant & Variable same thing happens with (+), It become (-) after transposing.Now, After operating.. Again, You need need to transpose constant term 3.. with (v) variable to be leaved in L.H.S.. Remember! The number which are greater that sign exist & Operating is also done... i.e., (7 - 28) in third step became 21 for sure.. Because after substracting 28 by 7 we get 21.. But sign we'll add is (-)... As, 28 is greater then 7 & the sign which is just before 28 is.. (-)...!!▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄A plane makes a return journey across the Atlantic Ocean, a distance
of 3800 km each way. From west to east the journey time is 6 hours
12 minutes. Because of the jet stream the plane takes 7 hours 18 minutes
to fly the same journey east to west.
Find the average speed of the plane for each crossing.
Answer:
Below in bold.
Step-by-step explanation:
6 hours 12 minutes = 6.2 hours
7 hours 18 minutes = 7.3 hours.
Average speed = distance / time
So for West to East, average speed = 3800 / 6.2 = 612.9 km/hour.
- and for East to West, average speed = 3800 / 7.3 = 520.5 km/hour.
These values are correct to the nearest tenth.
the assertion that a distribution of sample means approaches a normal curve as sample size increases is called: '
The assertion that a distribution of sample means approaches a normal curve as sample size increases is called the Central Limit Theorem (CLT).
The CLT is a fundamental concept in statistics and is often used to make inferences about population parameters based on sample statistics.
The CLT states that for any population with a finite mean and standard deviation, the distribution of sample means for sufficiently large sample sizes (typically, n ≥ 30) will be approximately normal, regardless of the shape of the original population distribution.
This means that as sample size increases, the variability in the sample means decreases, and the distribution of sample means becomes more and more symmetrical.
One of the key implications of the CLT is that it allows us to estimate population parameters, such as the mean and standard deviation, using sample statistics.
Multiple random samples from a population and calculate the mean of each sample, the distribution of those sample means will be approximately normal, and we can use that distribution to estimate the population mean with a certain level of confidence.
The CLT has broad applications in various fields, including finance, engineering, biology, and social sciences. It is important to note, however, that the CLT only holds under certain assumptions and conditions, and it is crucial to check these assumptions.
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3 less than the square root of a number p
Answer:
what's the number? .. . mmxmxmx
Which equation could represent a linear combination of the system?
The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the linear combination to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2/3x + 5/2y = 15
4x + 15y = 12
Multiply the first equation by 6, to eliminate the fractions.
6 * (2/3x + 5/2y = 15)
This gives
4x + 15y = 90
Subtract the equation 4x + 15y = 90 from 4x + 15y = 12
4x - 4x + 15y - 15y = 12 - 90
Evaluate the difference
0 + 0 = -78
Evaluate the sum
0 = -78
The above equation is the same equation as option (b) 0 = 26
This is so because they both represent that the system of equations have no solution
Hence, the equation that could represent a linear combination of the system is 0 = 26
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Complete question
The system of equations below has no solution.
2/3x + 5/2y = 15
4x + 15y = 12
Which equation could represent a linear combination of the system?
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°, what is the value of x? 29 31 34 59
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Triangle is DEF
if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°
We need to find the value of x.
We know that the sum of three angles of triangle is 180 degrees
m∠d + m∠e + m∠f=180°
2x+3x-2+x+8= 180°
6x+6=180
Subtract 6 on both sides
6x=174
Divide by 6 on both sides.
x=174/6
x=29
Hence, the value of x is 29.
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inside a square with side length $10$, two congruent equilateral triangles are drawn such that they share one side and each has one vertex on a vertex of the square. what is the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles?
Using the concepts of equilateral triangle, we got that 2.113 is the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles.
Firstly we find the side length of equilateral triangle , G is the midpoint of side FE.
Let GE=x, since G is the midpoint due to that DE=GB.
So, using basic trigonometry=DG^GB=x√3.
Thus DB=2x√3.
Since DB is the diagonal of ABCD, it has length 10√2 Then we can set up the equation 2x√3=10√2. So the side length of the triangle is
2x=(10√2)/√3.
Now look at the diagonal AC it is made up of twice the diagonal of the small square plus the side length of the triangle. Let the side length of the small square be y:
Let the side length of the small square be y:
AC=y√2 + [(10√2)/√3]+y√2=10√2.
Solving for y:
=>y√2+y√2 + (10√2√3)/3=10√2
=>y√2+y√2 + (10√6)/3=10√2
=> [3y√2+3y√2 + (10√6)] /3=10√2
=>6y√2+10√6=30√2
=>6y√2 = 30√2-10√6
=>y√2 = (30√2-10√6)/6
=>y = (30√2-10√6)/6√2
=>y = (60-20√3)/12
=>y= 5(3−√3)3 or 2.113
Hence, inside a square with side length 10, two congruent equilateral triangles are drawn such that they share one side and each has one vertex on a vertex of the square. the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles is to be 2.113.
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What is the area of a rectangle that is 21 ft wide and 8 ft long? Remember: A = L × W
Answer:
168
Step-by-step explanation:
21*8=168
Answer:
168 ft ^2
Step-by-step explanation:
Tofind the Area of a rectangle you multiply the Length by the width. By doing this we get the equation Area = 21 * 8. By doing multiplication we get area to be 168.
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
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how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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3. Use the either the sum or difference formula of cosine to solve the following (5 points) cos(525 degrees)
By using the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465
The formula to find the value of cos(A ± B) is given as,
cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB
Here, A = 450° and B = 75°
We can write 525° as the sum of 450° and 75°.
Therefore,cos(525°) = cos(450° + 75°)
Now, we can apply the formula for cos(A + B) and solve it.
cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465
Substituting the values in the above equation, we get
cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465
Thus, cos(525°) = -0.465.
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2(5x-4)=ax+6 The equation above when have no solution when the value of a is 1 a) -10 b) 10 and the value of b is 2 a)-8 b)8
The equation 2(5x-4)=ax+6 has no solution when a = 10 and b = 8
How to determine the solution of the equation
To determine when the equation 2(5x-4)=ax+6 has no solution, we need to set up the equation so that it is in the form of ax + b = cx + d, where a, b, c, and d are constants.
First, we can simplify the left side of the equation by distributing the 2:
10x - 8 = ax + 6
Then we can rearrange the terms so that the variables are on one side and the constants are on the other:
10x - ax = 6 + 8
Factor out x on the left side:
x(10 - a) = 14
Divide both sides by (10 - a):
x = 14 / (10 - a)
This equation has no solution when the denominator (10 - a) is equal to 0, since division by 0 is undefined. Therefore, to find when the equation has no solution, we need to solve the equation:
10 - a = 0
Solving for a gives:
a = 10
Therefore, the equation 2(5x-4)=ax+6 has no solution when a is equal to 10.
Now we need to determine whether the value of b affects the existence of a solution. We can do this by plugging in the value of a = 1 and testing both values of b.
When a = 1, the equation becomes:
2(5x-4) = x + 6
Expanding the left side:
10x - 8 = x + 6
Simplifying:
9x = 14
Dividing both sides by 9:
x = 14/9
This is a valid solution for any value of b, so the value of b does not affect the existence of a solution.
Therefore, the answer is:10 (has no solution)
Therefore, the answer is: 10 (has no solution)
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Relate the area of the square to the length of each side.
The area of a square can be found by using the following expression:
\(A=l^2\)where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.
\(\begin{gathered} 9=l^2 \\ l^2=9 \end{gathered}\)To solve it we need to take the square root on both sides of the equation.
\(\begin{gathered} \sqrt[]{l^2}=\sqrt[]{9} \\ l=\sqrt[]{9} \\ l=3\text{ cm} \end{gathered}\)Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.
Solve the following word problem Naomi can type 30 words in 50 seconds. At this rate how many words can she type in 60 seconds?
Answer:
36 words per minute
Step-by-step explanation:
you do 30 divided by fifty too see how many words per second she reads.
That equals 0.6
then you multiply it by 60 because that is how many seconds you want to calculate.
the answer is 36 words per minute
A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?
A) $60
B) $760
C) $1600
D) $2000
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
1. Verify experimentally that if two sides of a triangle
are equal, then the angles opposite to them are also
equal. (three triangle required)
Answer:
if this work mark brainliest
Answer:
. Verify experimentally that if two sides of a triangle
are equal, then the angles opposite to them are also
equal. (three triangle required)
A zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. The table and scatterplot show the percentage of the baby rhinoceros’s body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks.
Answer:6%
Step-by-step explanation:
what is the remainder if 2019 is divided by 5
The remainder when 2019 is divided by 5 is 4.
What is the division?
A division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each, and so on.
To find the remainder when 2019 is divided by 5, we can use the modulo operator (%), which gives the remainder of the division. In Python, we can write:
2019 % 5
The output will be the remainder of the division of 2019 by 5, which is:
4
Therefore, the remainder when 2019 is divided by 5 is 4.
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Evaluate the function for = and =.
()=−
Answer:Example: evaluate the function f(x) = 2x+4 for x=5
Just replace the variable "x" with "5":
f(5) = 2×5 + 4 = 14
Answer: f(5) = 14
Step-by-step explanation:
problem # 1
only need a conclusion
Answer:
∠ABC is a right angle
Step-by-step explanation:
An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank
Answer:
15707.96
Step-by-step explanation:
Answer:
5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
Step-by-step explanation:
V = (pi)r^2h
r = radius = diameter/2
r = 20 ft/2 = 10 ft
V = (pi)(10 ft)^2(50 ft)
V = 5000(pi) ft^3
V = 5000(3.14159) ft^3 = 15,708 ft^3
Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)