The dimension of the room is width = 6 meters and length = 12 meters.
What is rectangle ?
A rectangle is a four-sided polygon with opposite sides that are parallel and of equal length. It has four right angles. The two parallel sides are called the length and the width. The length is the longer of the two sides, while the width is the shorter of the two sides.
Let's assume the width of the rectangular room is "w" and the length of the rectangular room is "l"
We know that the perimeter of a rectangle is the sum of twice the length and twice the width: P = 2l + 2w
Given that the perimeter is 36 meters, we can substitute that into the equation ,
36 = 2l + 2w
We also know that the length is 2 times the width, so we can substitute that into the equation: I = 2w
Now we have two equations ,
36 = 2(2w) + 2w
36 = 6w
So the width of the room is 6 meters. To find the length, we can use the information that the length is 2 times the width ,
l = 2w = 2*6 = 12 meters
So the dimension of the room is width = 6 meters and length= 12 meters.
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What must each length be in order for quadrilateral JKLM to be a parallelogram?
6. JK=?
7. JL=?
Answer:
JK = 10 , JL = 14
Step-by-step explanation:
• opposite sides of a parallelogram are congruent
(6)
JK = ML , that is
3x - 2 = x + 6 ( subtract x from both sides )
2x - 2 = 6 ( add 2 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Then
JK = 3x - 2 = 3(4) - 2 = 12 - 2 = 10
• the diagonals of a parallelogram bisect each other
(7)
JL = 2 × JA = 2(2x - 1) = 4x - 2 ( substitute x = 4 )
JL = 4x - 2 = 4(4) - 2 = 16 - 2 = 14
When one half of the figure is exactly the same as the other half of the figure it is called?
Property which represents the one half of the figure exactly same as the rest half of the same figure is known as the line of symmetry.
As given in the question,
Let us consider the given figure be rectangle shape.Divide the given shape by the horizontal or the vertical line from its midpoint of width or length.It represents both the halves consists of exactly same portion.It is also known as the mirror image formed by horizontal or the vertical line.Property which defines that one half of the figure is same as the other half it is known as the line of symmetry.It is also known by other name mirror line.Therefore, property used to define the one half of the figure is exactly same as the other half is known as line of symmetry.
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In a Petri dish, there were initially 4 bacteria. Five hours later, there were 972 of them.
Find the exponential function that satisfies the given conditions.
f(t) = 4e^?*t
Answer:
An exponential function has the form y = ab^x, where a and b are constants and x is the independent variable (in this case, time).
Given the initial condition that there were 4 bacteria in the dish, we know that when x = 0, y = 4.
So we can set up the equation: 4 = a(b^0)
Given the condition that 5 hours later there were 972 bacteria in the dish, we know that when x = 5, y = 972.
So we can set up the equation: 972 = ab^5
We can now solve for b by dividing the two equations:
972/4 = ab^5/a(b^0) = b^5
b = (972/4)^(1/5)
With b calculated, we can substitute it into one of the equations to find a:
4 = a(b^0) = ab^0 = a
So the exponential function that satisfies the given conditions is:
y = ab^x = 4(b^x) = 4( (972/4)^(1/5)^x)
This function models the growth of bacteria in the Petri dish
I don't know exactly what the question was, but I'm guessing it's the bacteria growth rate.
You can use the formula
final amount of bacteria = (initial amount of bacteria)(bacteria growth rate)^number of hours
So,
972 = (4)(x)^5
then simplify this equation to solve for x
x=3
the amount of bacteria increased 3 times more every hour for 5 hours
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Find the slope of the line that passes through these two points
Answer: slope is 1 or m=1
Step-by-step explanation:
A man depoited ghc 1200 in hi bank account. A imple interet of 20% per annum wa paid on hi depoit. Calculate the
a. Imple interet for the 4 year
b. Amount at the end of the 4 type
The simple interest for 4 years is Rs 960 and at the end of 4 years, the total amount in the bank account is Rs 2160.
Simple interest is calculated by multiplying the principal amount (initial deposit) by the interest rate and the number of years. In this case, the principal amount is Rs 1200 and the interest rate is 20% per annum (or 0.20) and the number of years is 4.
Simple Interest = Principal x Rate x Time
Simple Interest = 1200 x 0.20 x 4 = 960
So the simple interest for 4 years is Rs 960
To calculate the total amount at the end of 4 years, we add the simple interest to the original deposit.
Total Amount = Principal + Simple Interest
Total Amount = 1200 + 960 = 2160
So, at the end of 4 years, the total amount in the bank account is Rs 2160
Therefore, the simple interest for 4 years is Rs 960 and at the end of 4 years, the total amount in the bank account is Rs 2160.
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WILL MARK BRAINLIEST + 20 PTS.
Answer:
x=-36
Step-by-step explanation:
To do this we do the inverse of the equaison which is 9×-4 and the answer to that is -36
is this mapping a diagram function, why or why not?
Answer:
Yes it’s functions, because for each input there is an output.
uppose that motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. assume that the production process manufactures items with a mean weight of 10 ounces. calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations. (a) the process standard deviation is 0.18, and the process control is set at plus or minus one standard deviation. units with weights less than 9.82 or greater than 10.18 ounces will be classified as defects. if required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. probability of a defect: number of defects: (b) through process design improvements, the process standard deviation can be reduced to 0.06. assume that the process control remains the same, with weights less than 9.82 or greater than 10.18 ounces being classified as defects. if required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. probability of a defect: number of defects: (c) what is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? reducing the process standard deviation causes a substantial decrease in the number of defects.
P( X < 9.85 or X > 10.15 ) ≈ 0.3171 up to four decimal places.
P( X < 9.85 or X > 10.15 ) ≈ 0.0027 up to four decimal places.
ProbabilityThe simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes, or how likely they are if we are unclear about how an event will turn out. Statistics refers to the study of occurrences subject to probability.
According to the question
a) Assuming that X is the random variable that takes the place of the number of defectives and has a normal distribution with a mean of 10 ounces and a standard deviation (σ) of 0.15.
The random variable's values deviate from the mean by 1, causing them to either exceed or fall short of (10 + 0.15) and (10-0.15)
= 10.15 or 9.85.
The following formula may be used to determine the likelihood that there will be either more or lesser defects than the range of 10.15 to 9.85:
P( X < 9.85 or X > 10.15 ) = 1 - P [tex](\frac{9.85-10}{0.15} < \frac{X-10}{0.15} < \frac{10.15-10}{0.15} )[/tex]
P( X < 9.85 or X > 10.15 ) = 1 - φ(1) - φ(-1)
Now we calculate the value of z for z = 1 and z = -1; we have: 0.841345 and 0.158655 respectively
P( X < 9.85 or X > 10.15 ) = 1 - (0.841345 - 0.158655)
P( X < 9.85 or X > 10.15 ) = 0.31713
P( X < 9.85 or X > 10.15 ) ≈ 0.3171 up to four decimal places.
b) It is possible to lower the process standard deviation to 0.05 by making modifications to the process design.
The following formula may be used to determine the likelihood that the number of defectives is either larger than 10.15 or lesser than 9.85:
P( X < 9.85 or X > 10.15 ) = 1 - P [tex](\frac{9.85-10}{0.15} < \frac{X-10}{0.15} < \frac{10.15-10}{0.15} )[/tex]
P( X < 9.85 or X > 10.15 ) = 1 - φ(3) - φ(-3)
Now we calculate the value of z for z = 3 and z = -3; we have: 0.99865 and 0.00135 respectively
P( X < 9.85 or X > 10.15 ) = 1 - (0.99865 - 0.00135)
P( X < 9.85 or X > 10.15 ) = 0.00271
P( X < 9.85 or X > 10.15 ) ≈ 0.0027 up to four decimal places.
(c) What is the benefit of increasing the number of standard deviations from the mean for process control limits by minimizing process variation?
As we can see from the reduction from a to b above, the key benefit of minimizing process variance is that it will decrease the likelihood of receiving a defective item.
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if we chnage the confidence level from 98% to 95% when constructing a confidence interval for the population mean, we can expect the size of the interval to:
The correct answer to the given question is an option (C) -the size of the confidence interval increases.
In statistics, the confidence interval for the population means signifies the range in which it could lie at a given confidence level. The confidence interval is usually approximated by using the standard deviation, mean, and sample size of a representative sample drawn from population data.
The margin of error is given by:
= (Z-score * Standard error)
= [tex]\frac{Z -score * Standard deviation}{\sqrt{Sample Size} }[/tex]
Now, the width of a confidence interval is given by:
=(2 * Margin of error)
From the above formulae, it can be inferred that the width of the confidence interval is directly connected to the margin of error, which in turn is directly related to the confidence level or Z-score. Hence, if we change the 95% confidence interval estimate to a 99% confidence interval, the size of the confidence interval will increase.
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The complete question is:
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect:
A. the size of the confidence interval to decrease.
B. the sample size to increase.
C. the size of the confidence interval to increase.
D. the size of the confidence interval to remain the same.
Each base in this oblique prism is a right
triangle.
What is the volume of the figure?
The volume of the figure is V = (1/2)xy*h.
The volume of an oblique prism can be found by multiplying the area of its base by its height.
Since the bases of the prism are right triangles, we can use the formula for the area of a right triangle, which is (1/2)base*height.
If we assume that the base is the right triangle with legs x and y, and the height of the prism is h. The volume of the prism can be calculated as:
V = (1/2)xy*h
Note that this formula is valid only if the prism is a right triangular prism and the bases are right triangles, otherwise we would need more information to calculate the volume.
Thus, The volume of the figure is V = (1/2)xy*h.
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Why Mean absolute error is always positive?
The reason is that the absolute value of a number discards the sign, so it can't be negative as the absolute value of a number is the distance of the number from zero.
Mean Absolute Error (MAE) is a measure of the difference between the predicted value and the actual value. It is calculated by taking the absolute value of the difference between each predicted value and the actual value, and then averaging the differences.
MAE is always positive because it is calculated using the absolute value of the errors, which always results in a positive value. The absolute value function removes the negative sign from any negative errors, so all errors are treated as positive. Therefore, the sum of all errors will always be positive regardless of whether the predicted values are greater or less than the actual values.
It's used in regression problems to measure how good the model is by comparing the actual value and the predicted value. Since MAE is a positive value, it gives a clear understanding of how far the predicted value is from the actual value, which helps to understand the model's performance.
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Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.the quotient of a number divided by 11 is 0.5
After translating the sentence into an equation using n to represent the unknown number and solving the equation the unknown number is 5.5.
In the given question, we have to translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5.
Let the number is n. So
n/11 = 0.5
Now solving the expression to find the value of n.
Multiply the 11 on both side, we get
n = 0.5×11
n = 5.5
Hence, the unknown number is 5.5.
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What is the shape of an absolute value function?
There are many types of functions and each type of function has its own characteristics. This implies that their graph has also its own characteristics.
Based on the graph, the absolute value function has a "V-Shaped" graph.
Every absolute value graph makes a “V”-shaped figure. It consists of two parts: one with a negative slope and one with a positive slope. The point of their intersection is called the vertex. An absolute value graph is symmetrical, meaning that it can be folded in half on its line of symmetry.
An absolute value graph has a distinct V-shape. It is symmetric about the vertical line which passes through its vertex. The vertex of an absolute value function is the point at which the graph changes direction. Since the graph of y=|x-1|+1 changes direction at (1,1), this point is the vertex.
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The
/_ M =55 the measure of arc LN=37 what is the measure of arc KT
For given circle value of arc KT will be 147m.
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
and Area of circle = πr²
Circumference of circle=2πr
Now,
as for a given circle when the vertex of angle falls outside of circle
then (larger arc-smaller arc/2)=angle
Therefore, 55=(KT-37)/2
KT=110+37
KT=147m
Hence,
Value of arc KT will be 147m.
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16. if you change your lights to high beam when the driver of an approaching vehicle fails to dim his lights, the probability of an accident increases because:
If blinded by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle which is denoted as option C.
What is a Vehicle?This refers to something which is used to transport people and goods from one place to another and examples include car, lorry etc. The lights are used at night for proper vision of the road so as to reduce the risk of accidents on the road.
here,
In a situation whereby an individual is blinded by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle so as to prevent temporary vision impairment.
This helps to prevent accidents on the road and for the safety of the driver thereby making it the correct choice.
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please help with 4, 5 and 6 pleasee someone
The volume of the ice cream cone is 100.48 in³.
The volume of the basketball is 267.95 in³.
The volume of the can of corn is 169.56 in³
How to find the volume of the ice cream cone?To find the volume of the ice cream cone, use the formula for the volume of cone, which is given by:
V = (1/3)πr²h
r = 4 in and h = 6 in
V = 1/3 × 3.14 × 4² × 6 = 100.48 in³
To find the volume of the basketball, use the formula for the volume of sphere, which is given by:
V = (4/3)πr³, where r = 4 inches
V = (4/3) × 3.14 × 4³ = 267.95 in³
To find the volume of the can of corn, use the formula for the volume of cylinder, which is given by:
V = πr²h, where r = 3 in and h = 6 in
V = 3.14 × 3² × 6 = 169.56 in³
code: HG DA CF
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an airplane is miles north and miles east of an airport. the pilot wants to fly directly to the airport. what bearing should the pilot take?
Pilot should take reverse bearing, calculated using atan2(East,North),converted in degrees.
What is radian ?
A radian is a unit of measurement for angles. It is defined as the ratio of the length of an arc of a circle to the radius of that circle. One radian is approximately 57.3 degrees. Radians are often used in mathematics, physics, and engineering because they allow for a more natural way of measuring angles and help simplify certain calculations.
To find the bearing, we can use the formula ,
Bearing = atan2(East, North)
Where East is the number of miles east of the airport and North is the number of miles north of the airport.
The atan2 function is a variation of the arctangent function, which returns the angle (in radians) whose tangent is the quotient of its two arguments. This function is defined for all real arguments and returns a value between -π and π.
So you can convert the bearing from radians to degrees using the formula ,
degrees = bearing * (180/π)
Pilot should take reverse bearing, calculated using atan2(East,North),converted in degrees.
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1. Write the explicit formula for the sequence below
The explicit formula for the arithmetic sequence 40, 37, 34, 31 is given as follows:
[tex]a_n = 40 - 3(n - 1)[/tex]
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the explicit formula presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In the sequence, each term is the previous term subtracted by three, hence the common difference is given as follows:
d = -3.
The first term is of:
[tex]a_1 = 40[/tex]
Hence the explicit formula is given as follows:
[tex]a_n = 40 - 3(n - 1)[/tex]
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Determine the equation of the circle with center (-1,0) containing the point
(-4, √108).
Answer: [tex](x+1)^2+y^2=117[/tex]
Step-by-step explanation:
The radius of the circle is [tex]\sqrt{(-1-(-4))^2 +(\sqrt{108}-0)^2}=\sqrt{117}[/tex].
Using the center-radius form for the equation of a circle, the equation is [tex](x+1)^2+y^2=117[/tex].
Answer:
[tex](x+1)^2+y^2=117[/tex]
Step-by-step explanation:
Equation of the circle: (x - h)² + (y - k)² = r²
(x, y) – any point in the circle
(h, k) – the center of the circle
r – the radius of the circle
(-4, √108) – (x , y)
(-1, 0) – (h, k)
r – ?
[tex](x-h)^2+(y-k)^2=r^2\\\\((-4)-(-1))^2+((\sqrt{108})-(0))^2=r^2\\\\(-4+1)^2+(\sqrt{108}-0 )^2=r^2\\\\(-3)^2+(\sqrt{108} )^2=r^2\\\\9+108=r^2\\\\r^2=117\\\\r^2=9*13\\\\\sqrt{r^2}=\sqrt{9*13} \\\\r=3\sqrt{13}[/tex]
Now that we know what's the r value:
[tex](x - (-1))^2+(y-0)^2=(3\sqrt{13} )^2\\\\(x+1)^2+y^2=9*13\\\\(x+1)^2+y^2=117[/tex]
insert a monomial so that the resulting expression can be represented as the square of a binomial. __-42pq+49q^2
The monomial that completes the expression hence it is the square of a binomial is given as follows:
9p².
How to model the square of a binomial?The square of a binomial is modeled as follows, considering that the binomial can be either a sum or a subtraction.
(a + b)² = a² + 2ab + b².(a - b)² = a² - 2ab + b².The expression for this problem is given as follows:
x - 42pq + 49q².
In which x is the monomial.
Hence the system of equations to obtain the values of the parameters a and b are given as follows:
2ab = 42pq.b² = 49q².Hence the parameter b is obtained as follows:
[tex]b = \sqrt{49q^2}[/tex]
b = 7q.
The parameter a is obtained as follows:
2ab = 42pq
14aq = 42pq
14a = 42p
a = 42p/14
a = 3p.
Hence monomial that makes the expression that square of a binomial is given as follows:
a² = (3p)² = 9p².
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shane made a scale drawing of a house and its lot. the scale of the drawing was 11 millimeters : 7 meters. if the lawn in the backyard is 66 millimeters long in the drawing, how long is the actual lawn?
Each piece of room or house length and width should be inverted to be scaled. For instance, a rectangle measuring 66" by 7" might be used to depict a dresser that is 5' by 2' at a scale of 14" = 1'.
A table that is 4' by 4' would also be 1" by 1" in size. [7] When measuring furniture that isn't square or rectangular, make the smallest square or rectangle the item might possibly fit and then use those dimensions. For instance, to represent a wingback chair that is 2' 6" wide and 2' deep, use a 5/8" by 1" rectangle.
Next, draw a rough outline of the chair inside the rectangle. On a piece of graph paper that is blank, draw the furnishings. Use graph paper without the room's floor plan drawn on it.
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1. why do financiers need hypothesis testing? data sets do not cover every instance of an event or measurement. so they can predict within a degree of certainty where stock prices will go in the future. stock and bond pricing data is difficult to obtain and impossible to predict. the normal distribution does not give them enough information to make sound decisions. 2. what method would you use to gather a data set on voter preferences? hypothesizing sampling distributing engineering 3. the null hypothesis represents . no idea at all, a placeholder the new idea that you wish to prove the old idea that you wish to disprove a third idea that is completely neutral 4. the alternative hypothesis represents . no idea at all, a placeholder the new idea that you wish to prove the old idea that you wish to disprove a third idea that is completely neutral 5. the result of any hypothesis test is . we reject or fail to reject the null hypothesis we accept or fail to accept the alternative hypothesis we accept or fail to accept the null hypothesis
Hypothesis testing is an act in statistics whereby an analyst tests an assumption regarding a population parameter.
The methodology employed by the analyst depends on the nature of the data used and the reason for the analysis.
Hypothesis testing is used to assess the plausibility of a hypothesis by using sample data.
Such data may come from a larger population, or from a data-generating process.
1 The correct option is B.
As the hypothesis testing helps to predict when certain certainty within which range the stock value will fluctuate.
The sampling is used to gather data from the population.
The sampling can be either random or systematic. The correct option is B.
2 The correct option is C
as the null hypothesis represents the current and present claim or knowledge.
The Alternate hypothesis is the assumption about the parameter need to be checked against the null hypothesis that is it is a new assumption to be proven. So the correct option is B.
3 The correct option is A.
As either there can be sufficient evidence to reject the null hypothesis or insufficient evidence to reject the null hypothesis.
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17) Find the two consecutive integers such that √214
lies between them.
18) Find the two consecutive integers such that power of 3√441
lies between them.
The consecutive integers for the two roots are:
17) 14 < √214 < 15
18) 7 < ∛441 < 8
How to find the two integers?17) First, we want to find two consecutive integers such that √214 lies between them.
To do so, we just need to find two consecutive integers such that when we square them, one is smaller than 214, and the other is larger than 214.
For example:
13*13 = 169
14*14 = 196
15*15 = 225
Now we can see that:
14² < 214 < 15²
If we apply the square root we get:
14 < √214 < 15
Thes are the two integers.
18) Now we want to do the same thing, but this time with:
∛441
This time we need to cube our numbers.
7*7*7 = 343
8*8*8 = 512
These are the two integers such that:
343 < 441 < 512
Now we can apply the cube root to get:
∛343 <∛ 441 < ∛512
7 < ∛441 < 8
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John has four more than twice as many baseball cards as Caleb. If together the boys own 286 baseball cards, how many does Caleb have?
Based on the solution to a system of equations, with John having four more than twice as many baseball cards as Caleb, and altogether the boys owning 286 baseball cards, Caleb alone has 94.
What is a system of equations?A system of equations or simultaneous equations is two or more equations solved simultaneously or concurrently.
Let the number of baseballs Caleb owns = c
Let the number of baseball John has = 2c + 4
The total number of baseball = 286
c + 2c + 4 = 286
3c = 282
c = 94
Thus, Caleb has 94 baseballs while John has 192 baseballs.
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The rainforest is currently decreasing at a rate of 27% per year. if there are currently 250,000 square miles of rainforest, then how many square miles of rainforest will their be in t years
a. f = 250,000(1.7)t
b. f = 25,000(0.73)t
c. f = 250,000(0.73)t
d. f = 250,000(0.27)t
If there are currently 250,000 square miles of rainforest, then number of square miles of rainforest will happen in n years is, f = 250000(0.73)ⁿ
So option B is correct
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The rainforest is currently decreasing at a rate of 27% per year
There are currently 250,000 square miles of rainforest
The number of square miles of rainforest will happen in n years = ?
The expression for remaining rainforest is,
after 1 year
f = 250000(1 - 0.27)
after 2 year
f = 250000(1 - 0.27)(1 - 0.27)
after 3 year
f = 250000(1 - 0.27)(1 - 0.27)(1 - 0.27)
Similarly
after n year
f = 250000(1 - 0.27)ⁿ
f = 250000(0.73)ⁿ
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how many gallons of water should be packed for two people for three days in the case of an emergency?
According to the Federal Emergency Management Agency (F.E.M.A.) , In case of emergency for two people , three days , number of gallons that should be packed is 6 gallons .
During Emergency Situations as we stock food, we need to take into account the family’s unique needs and tastes.
We try to include foods that require no refrigeration, water, special preparation, or cooking are best in case of emergency .
So , by FEMA , it states that we need to store at least one gallon per person per day .
Since there are two people , so , we need 2 gallons per day ;
and for three days , it would requires [tex]2 \times 3 = 6[/tex] gallons per day .
Therefore , 6 gallons of water should be packed .
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Find the general solution of the given differential equation. X^2y' + x(x + 2)y = e^X Give the largest interval I over which the general solution is defined. (Think about the implications of any singular points.) (1, Infinity) (-1, 1) (-Infinity, Infinity) (0, Infinity) (0, 1) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.)
The general solution of the given differential equation is: y = c_1 e^x + (1/x)∫xe^x dx.
What is genral solution?A general solution is a comprehensive approach that is applicable to a wide variety of situations and problems. It is usually used to solve complex problems that have multiple variables and factors. General solutions often involve a combination of strategies, techniques, and processes that can be adapted to fit a particular context. In some cases, general solutions may require a combination of both traditional and modern methods. The goal of a general solution is to provide an effective, efficient, and sustainable solution to an issue.
The largest interval over which the general solution is defined is (-∞, ∞). There are no transient terms in the general solution, so the answer is NONE.
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Determine the value of h in the equation h minus four sevenths equals two sevenths
Answer:
h = 6/7
Step-by-step explanation:
h minus four sevenths equals two sevenths
minus means -
equals means =
h - four sevenths = two sevenths
four sevenths means 4/7
two sevenths = 2/7
h - 4/7 = 2/7
add 4/7 to both sides to isolate h
h = 6/7
Answer: h =6/7
Step-by-step explanation: 4/7 + 2/7 = 6/7 so h - 4/7 = 2/7 h = 6/7
our fair six-sided dice are rolled. what is the probability that at least two dice show a 3? express your answer as a common fraction.
The probability that at least two dice show 3 in the fraction form will be 1/9.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The total number of events is given as,
Total event = 6 x 6
Total event = 36
The favorable events are given as,
Favorable events = 4 {(1, 1), (1, 2), (2, 1), (2, 2)}
Then the probability that at least two dice show a 3 will be given as,
P = 4 / 36
P = 1/9
The probability that at least two dice show 3 in the fraction form will be 1/9.
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Factorise the following:
9x²+3x²
Answer:
3[tex]x^{2}[/tex](3+1)
Step-by-step explanation:
The HCF is 3[tex]x^{2}[/tex] hence it will go outside the brackets.
Answer:
3x^2(3+1)
^2 means squared or two to the exponential power.
Step-by-step explanation:
