729.1 is the total capacity in gallows of a rectangular tank .
What is rectangle?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.1 Foot height can store = 200 ltrs
Height of tank = 5 m = 500/30.48 = 16.4 ft
Total Capacity = 200 * 16.4 =3280.8 ltr
There were several gallons in use. One gallons is roughly = 4.5 ltr
Hence the capacity in gallon = 3280.8/4.5 = 729.1
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can someone derive f(x) = x using first principles method. Like I know the answer is 1 and can do it by power rule but i cannot get that answer for the life of me using first principles method.
fyi first principles function is in the pic
The derivation by definition of f(x) = x, that is, f'(x) = 1, is found in this problem.
How to find the derivative of function f(x) by the definition?The derivative is given by:
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h}[/tex]
For this problem, we have that:
f(x) = x.f(x + h) = x + h.Hence:
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{x + h - x}{h}[/tex]
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{h}{h}[/tex]
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} 1[/tex]
The limit of a constant is the constant, hence f'(x) = 1.
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PROBABILITY!!! Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 35% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below.
A) In the event of a power loss, the possibility of both generators failing is 0.1225.
B) (i) In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.
(ii) During a power outage, it may be anticipated that both generators will malfunction roughly 12.25% of the time.
Probability: The probability of an occurrence is defined as the ratio between the number of positive outcomes to a certain event and the entire number of potential outcomes.
Complementary Events: When event A is specified, the complement of that event A does not take place.
Union of two events: The term "union of two events" refers to the collection of outcomes that are either related to both occurrences or one of the two events.
The intersection of two events: The intersection of two events refers to the group of results that are related to both occurrences.
Independent Events: If the occurrence of one event does not influence the occurrence of another event, then two occurrences A and B are said to be independent events. To put it another way, if the occurrence of event A has no bearing on the occurrence of event B, then the two occurrences A and B are independent.
A) The likelihood that both generators would malfunction during a power outage is calculated as follows:
According to the data provided, emergency backup generators malfunction 35% of the time when they are required. The probability value is 0.35 in this case.
The required probability is,
P⎝|⎛Bothgeneratorsfailduringapoweroutage⎠|⎞
= ⎣⎡P(Firstgeneratorfail) × P(Secondgeneratorfail)⎦ |⎤
= 0.35 × 0.35 = 0.1225
When there is a power outage, the likelihood that both generators will fail is calculated by multiplying the likelihood that the first and second generators will fail. During a power outage, the failure of both generators may be anticipated roughly 12.25% of the time.
B) (i) The likelihood of having a functional generator during a power outage is calculated as indicated below:
The required probability is,
P⎝|⎛Workinggeneratorintheeventofapoweroutage⎠|⎞
= 1−P⎝|⎛Bothgeneratorsfailduringapoweroutage⎠|⎞ =
1−0.1225 = 0.8775
The likelihood that a generator will operate in the case of a power loss is calculated by deducting the likelihood that both generators would malfunction from the overall likelihood. In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.
(ii) The likelihood that a patient will require hospitalization or not is determined as follows:
When there is a power outage, there is a 12.25% chance that both generators will malfunction; this means that they will malfunction roughly 10% of the time.
It is obvious that it is possible to anticipate that during a power outage, both generators will fail roughly 12.25% of the time, suggesting that this probability is low enough to not have an effect on patients' health.
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2/5a - 3/4b =c solve for a
The equation (2/5)*a - (3/4)*b = c solved for the variable a is:
a = (5/2)*(c + (3/4)*b)
How to solve the equation for a?Here we have the equation:
(2/5)*a - (3/4)*b = c
Where a, b, and c are variables.
Here we want to solve this equation for the variable a, this means that we need to isolate that variable in one side of the equation, so let's do that.
First, we need to remove the other term, then we can add its opposite in both sides of the equation so we get:
(2/5)*a - (3/4)*b + (3/4)*b = c + (3/4)*b
(2/5)*a = c + (3/4)*b
Now we need to remove the factor that multiplies the variable, we can do that by multiplying both sides of the equation by its inverse, whic is 5/2, if we do that we will get:
(5/2)*(2/5)*a = (5/2)*(c + (3/4)*b)
a = (5/2)*(c + (3/4)*b)
This is the equation solved for the variable a.
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a jeweler has 36 inches of silver chain. She needs 5 times that much to make some necklaces and 3times that amount to make some bracelets.
Eight amount is required to make various bracelets.
What in Maths do you mean by amount?A quantity, the total of two or more quantities, or an amount is generally used. When calculating the total amount of money after applying interest (either simple or compound), we typically use the term "amount" in mathematics.
the total is equal to the sum of the principal and interest.
According to the above statement,
Given,
Jeweler's 36-inch silver chain is available.
She needs five times as much, or 5 x 36, to make some necklaces.
To create some bracelets, she will require three times that much,
3×36
=108
Length of a silver chain =36 inches
Total chain required=(180+108)÷36
=288÷36
=8
Therefore he needs 8 chains to make necklace and bracelets.
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PLSS HELP
Station G: Long Jump'
The track and field coach has to select a girl for the long jump at the regional championship. Three girls are in
contention. The results of a school jump-off, in meters, are given in the accompanying table
1. Who do you think should go to the championship? Write a letter to the coach with your decision and an
explanation of your reasoning.
Using the mean concept, it is found that due to the highest average, Priya should go to the championship.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
Each of the girls had 6 jumps, and their means all given as follows:
Elena: (3.25 + 3.95 + 4.28 + 2.95 + 3.66 + 3.81)/6 = 3.65.Jada: (3.55 + 3.88 + 3.61 + 3.97 + 3.75 + 3.59)/6 = 3.73.Priya: (3.67 + 3.78 + 3.92 + 3.62 + 3.85 + 3.73)/6 = 3.76.Due to the highest average, Priya should go to the championship.
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PLEASE HELP! What is 2 x 2!
I cannot figure this out!
Answer:
4
Step-by-step explanation:
2*2=4
Hope this helps!
:)
Answer: Monke.
Step-by-step explanation:
get good.
find the comference of the circle
Answer:
25.12 feet (closest answer)
Step-by-step explanation:
formula circumference = 2πr
2πr
2×3.142(π)× 4 ft
=25.1327412
≈25.13(2 d.p)
closest answer in diagram is 25.12
find the distance between the points (5, 7) and (5, -3)
Answer:
The distance is 10
Step-by-step explanation:
in triangle jkl and triangle pqr
Answer: True!
Hope this helps!
Painted Cubes
Imagine that we paint a 4 x 4 x 4 cube blue on every side.
How many of the small cubes have 3 blue faces?
How many have 2 blue faces?
How many have 1 blue face?
How many faces would be painted in a cube of any size?
How many have not been painted at all?
If we paint a 4 x 4 x 4 cube blue on every side then we will get 8 small cubes having 3 blue faces, 16 cubes having 2 blue faces, 24 cubes with 1 blue face, 6 faces would be painted in a cube of any size and 8 cubes have not been painted at all.
Elaborate the answer that is obtained above.Corner cubes are the only ones with 3 faces, whereas a cube has 8 corners. There are therefore 8 cubes with 3 blue faces.
Each of the 16 cubes has 2 blue faces. These are the cubes found between the sides' corners.
The 4 center cubes have only 1 side painted. Because each side has six sides and four center cubes, 6 x 4 = 24. As a result, 24 cubes have 1 blue face.
Because a cube has 6 faces, every size cube will have at least 6 colored faces.
On the inside of the larger cube, there are exactly 8 cubes. As a result, 8 cubes have been left unpainted.
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Maria claims that any fraction located between 1/4 and 1/8 on a number line must have a denominator of 12. Enter a fraction that shows Maria's claim is incorrect.
Answer:
LCM is 16
Step-by-step explanation:
2/3 - 1/2
There's something called whole fraction whereby the fractions should be multiplied to get the LCM 6
Here We Go!
2/2*2/3 - 3/3*1/2
The denominators are 2 and 3 and when multiplied. The above fraction will still give you the LCM to be 6
What is the solution of the following system of equations? y-2x=-6 and y-4x=0
Answer: The answer is {y,x}={-12,-3}
Step-by-step explanation:
I mulitpuly the number on the coornate grid
Write a fraction that represents the parts
shaded red (indicated by "R") in the figure shown below.
W
R
W
W
W
w
The red-shaded part represents the fraction 2/7.
We are given an image of circle in the question which has 7 equal parts with two parts shaded red and the other five shaded white.
We have to find the fraction that represents the red shaded part of the circle.
A fraction defined as the part of the whole thing. For example, a pizza is divided into 6 equal pieces, then each piece is represented by 1/6.
We know that,
Fraction of red shaded part = Number of red parts/ Total number of parts
Here,
Number of red parts = 2
Total number of parts = 7
Hence,
Fraction of red shaded part = 2/7
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9g-6>12g+1 or 4>-2\5g+8
The solution to the given inequality is: (-∞, -7/3) ∪ (20, ∞).
How to solve a compound inequality involving the or operation?
To solve a compound inequality involving the op operation, we solve each inequality, then find the union of these solutions.
The first inequality for this problem is:
9g - 6 > 12g + 1
-3g > 7
3g < -7
g < -7/3.
The second inequality for this problem is:
-2/5g + 8 < 4
-2/5g < -4
2/5g > 4
2g > 20
g > 20
Hence the solution is:
(-∞, -7/3) ∪ (20, ∞).
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1 1/2 - -3/5 + 1 1/4
Answer:
3.35
Step-by-step explanation:
mark me brainliest pls
Help?? I’ll give brainliest :)
Answer:
31) C, D, F
32) B
33) A, F
34) D, E
35) D
Step-by-step explanation:
Adjacent angles are angles that share the common vertex and side.
Vertical Angles are angles that are opposite of each other.
Complementary Angles are angles that equal to 90°
Supplementary Angles are angles that equal to 180°
A Linear Pair are 2 angles that make up a straight line.
Helloooppoooooopooooooooopo
Step-by-step explanation:
First one is 4,713,354
And for the second one I'm just going to assume that the sum of those 2 numbers on the right side is the answer.
So 1,377,136 for bottom one.
What’s the correct answer answer asap for brainlist
Answer:
B.
Step-by-step explanation:
Because predict basically means to guess. So B. is saying "I guess my dad will make a healthy dinner - he does every other night!"
Answer:
B. I predict my dad will make a healthy dinner - he does every other night!
Step-by-step explanation:
Predict meaning is to estimate or believe something will happen, In answer b it makes the statement that the dad makes dinner every other night so it would be a good prediction to assume that he will be fixing a healthy dinner again.
hopefully this helps you !
2
1 point
The point, (-3, 7), is on the line y = -3x+7.
True
O False
Step-by-step explanation:
in order to know if the the point is on the line plug in the x coordinate to check if it gives you the y coordinate as an output.If you plug in the x coordinate and it gives you the given y coordinate then the point is on the given line Now let us plug in the value of x=-3[tex]y = - 3( - 3) + 7 \\ y = - 9 + 7 \\ y = - 2[/tex]now if you check plugging in the given x coordinate it does not give you the given y coordinate but -2therefore the point(-3,7) is not in the line but (-3,-2) is the point in the line.Question 2(Multiple Choice Worth 2 points)
(Order of Operations with Radicals MC)
Evaluate quantity the square root of 36 times 3 squared minus the cube root of negative 64 end quantity divided by 2 squared.
one fourth
thirty fourths
fifty-eight fourths
seventy-eight fourths
The expression is evaluated to give 58/ 4, fifty-eight fourths. Option C
How to determine the valueFrom the information given, we have the deduction;
[tex]\frac{\sqrt{36}* 3^2 - \sqrt[3]{-64} }{2^2}[/tex]
Simply the expression;
√36 = 6
3² = 9
∛-64 = -4
2² = 4
Substitute the values into the expression
⇒ 6 × 9 - (-4)/ 4
Use the BODMAS rule, multiply first
⇒ 54 + 4/ 4
Add the numerators
⇒ 58/ 4
Thus, the expression is evaluated to give 58/ 4, fifty-eight fourths. Option C
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Answer:
58 over 4
Step-by-step explanation:
Almost a billion people on the planet don’t have access to clean drinking water.” If there are 6.9 x 109 people in the world, then approximately what percent of them live without clean drinking water? Round to the nearest tenth of a percent.
The percent of them that live without clean drinking water is; 14.5%
How to find the percentage?
We know from scientific notation that;
1 billion = 1 * 10⁹
Now, we are told that there are 6.9 * 10⁹ people in the world. Thus, if almost a billion people on the planet don't have access to clean drinking water, then the percent of them that live without clean drinking water is;
(1 * 10⁹)/(6.9 * 10⁹) * 100%
= 14.5%
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What is 0.5x + 15 = 18
What is the name used to describe a graph where for some value of , there exists two or more different values of y?
Function or Relation?
Answer:
Relation
Step-by-step explanation:
This is what I think
In a class of 25 students, 12 are boys. what part of class is boys? girls?
Find the number that makes the ratio equivalent to 4:1
8:
- - - - - - - - - - - - - - - - - - - - - - - -
Work below!
- - - - - - - - - - - - - - - - - - - - - - - -
This ratio is simply doubled. Here's how I did it:
8 / 4 = 2, so it's multiplied by 2.
1 x 2 = 2, therefore the answer is 8:2!
- - - - - - - - - - - - - - - - - - - - - - - -
Hope this helped! :)
(Please consider leaving a Brainliest!)
~pinetreee
What is the line called that intersects lines l and m in the picture above?
(Click document to see image.)
Answer: It's just a line
Step-by-step explanation:
If f(x) = 4x - 3 and g(x) = x + 4, find (f- g)(x).
Answer:
(f-g)=3x-7
Step-by-step explanation:
First find f-g
4x-3 - x+4
This becomes 3x-7
What is the opposite number of 2,45
Answer:
-2,45
Step-by-step explanation:
the opposite of a positive number is a negative number
You are trying to define your target market for a travel agency service. Identify the correct order of the market targeting steps: Select one: a. identify business needs, segment total market, profile target customer segment, research and validate marketing opportunity b. research and validate marketing opportunity, identify business needs, segment total market, profile target customer segment, research and validate marketing opportunity c. profile target customer segment, identify business needs, segment total market, research and validate marketing opportunity
Option c: The following should be followed to the target market for a travel agency service
profile target customer segment, identify business needs, total segment market, research and validate marketing opportunity.
What is Target marketing?A target market is a group of people identified as the most likely potential customers for a product because of their shared characteristics such as age, income, and lifestyle. Identifying the target market is a vital part of the decision-making process when a company designs, packages, and advertises its product.
What Are the 4 Target Markets?Marketing professionals divide consumers into four major segments:
Demographic: These are the main characteristics that define your target market. Everyone can be identified as belonging to a specific age group, income level, gender, occupation, and education level.
Geographic: This segment is increasingly relevant in the era of globalization. Regional preferences need to be taken into account.
Psychographic: This segment goes beyond the basics of demographics to consider lifestyle, attitudes, interests, and values.
Behavioral: This is the one segment that relies on research into the decisions of a company's current customers. New products may be introduced based on research into the proven appeal of past products.
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Use the divided by 10 pattern to fill in the blank
The value of 400 when it is divided by 10 will be 40.
Division is the one of the four fundamental arithmetic operations. The other operations include multiplication, addition, and subtraction.
It is denoted by " ÷ " sign
For example: 4 ÷ 2 = 2, 18 ÷ 6 = 3, 50 ÷ 1 = 50, 40 ÷ 4 = 10, 66 ÷ 3 = 22, 999 ÷ 9 = 111 or 90 ÷ 3 = 30
The division will be calculated as below:-
We will divide 400 by 10 to obtain the required value.
Division = 400 ÷ 10
Division = 40
Therefore, the value of 400 when it is divided by 10 will be 40.
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Your question was incomplete. Please refer the content below:
Use the divided by 10 pattern to fill in the blank:
400