The linear equation will be y=7000+4550n where n=no. of year greater than 1.
What is a linear equation, exactly?
When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.
and general equation of line is y=mx+c
where m=slope=y2-y1/x2-x1
Now,
Given that no. of lionfish after a year=7000
and increment is 65% every year that means 65/100*7000
=4550 lionfish are added every year after 1 year
so the equation to represent lionfish in n years will be
Y=7000+4550n, where n>1 and n is no. of years.
hence,
The linear equation will be y=7000+4550n.
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What is the lateral surface area of the triangular prism shown below?
Answer: You only need to write the formula then rewrite it then multiply then add and then you divive by 2
Step-by-step explanation: it is the top of the shape which is 10cm2
questions 7 and 8 please HELP!! solving steps would be nice
8)
The indicated 3th root of 125 is 5.
9)
The indicated 4th root of 81 is 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8)
∛125
5 x 5 x 5 = 125
And,
5³ = 125
So,
= ∛5³
= 5
9)
[tex]\sqrt[4]{81}[/tex]
3 x 3 x 3 x 3 = 81
And,
[tex]3^4[/tex] = 81
So,
= [tex]\sqrt[4]{3^4}[/tex]
= 3
Thus,
8)
∛125 is 5.
9)
[tex]\sqrt[4]{81}[/tex] is 3.
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One liter equals ????? milliliters
One liter equals 1000 milliliters.
Answer:
One liter equals 1000 milliliters.
Step-by-step explanation:
A liter (L) and a milliliter (mL) are both units of volume in the metric system. One liter is defined as the volume of a cube with edges that are 10 centimeters in length, which is equivalent to 1000 cubic centimeters (cm^3). A milliliter, on the other hand, is equal to one-thousandth of a liter, which means there are 1000 milliliters in one liter.
In other words, if you have one liter of water in a container, you could pour it into a smaller container that measures in milliliters, and it would fill exactly 1000 mL.
Please help
The step function g(x) is defined as shown
For given Step function also known as piecewise function, The range of g(x) is {-3,2,5} i.e. C.
What exactly is a piecewise function?
A piecewise function has several definitions in various x intervals. The graph of a piecewise function is split into sections that correspond to each of its definitions. The absolute value function is an outstanding example of a piecewise function. Let us look at why it was given that name. We know that an absolute value function is defined as f(x) = |x|.
f(x)=(x if x x≥0)
-x if x<0)
This piecewise function should be interpreted as
When x is higher than or equal to 0, f(x) equals x.
When x is less than zero, f(x) equals -x.
Now,
As range of a given function is given by its y values, here it will be given by values of g(x) and as we can see from question for values of x, g(x) is always equal to -3,2,5.
Hence,
The range of g(x) is {-3,2,5}.
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Select al expressions that can be subtracted from 9x to result in the experssion 3x + 5
"6x - 5" is the expressions that can be subtracted from 9x to give the result in expression 3x+5.
To find the expression that can be subtracted from 9x to result in the expression 3x+5.
Let the expression be (a - b = c),
Here a = 9x
and the result, c = 3x + 5
We have to find out b = ?
Substitute the values of a and b in the above equation then we get;
9x - b = 3x + 5
9x - (3x + 5) = b
b = 6x - 5
Hence the expressions that can be subtracted from 9x to result in the expression 3x+5 is 6x - 5
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how to find interior angles of a hexagon
The total of a hexagon's internal angles is 720 degrees.
The internal angles of a hexagon may be calculated using the formula "180 - (360/n)," where n is the number of sides. When you enter 6 for a hexagon, the response is 120 degrees.
We might begin by imagining a hexagon to better comprehend the notion. It is a basic design made up of six distinct straight lines that join to form a closed shape. The internal angles are the angles on the inside of the form.
The above-mentioned formula may be used to compute the internal angles of a hexagon. For each inner angle of a hexagon, the computation yields a value of 120 degrees. Hence the total of a hexagon's internal angles is 720 degrees.
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how many different ways can 3 people from england, 2 people from california and 4 people from mexico randomly sit down in adjacent seats at a concert so that all californians sit together and all people from mexico sit together
The different ways that the people from can randomly sit down in adjacent seats is 138240 ways
How to calculate the valueCombinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. This can be illustrated by nCr
There are 2 people from California, so they can be arranged in 2! = 2 ways.
There are 4 people from Mexico, so they can be arranged in 4! = 24 ways.
Now we can treat the group of Californians and the group of Mexicans as a single block of 6 people (2 Californians and 4 Mexicans), which we can arrange with the 3 people from England. There are 3 + 1 = 4 blocks of 6 people that we can form (one for each possible position of the block), and within each block, there are 6! ways to arrange the people.
Therefore, the total number of arrangements that satisfy the given conditions is:
= 2! * 4! * 4 * 6! = 2 * 24 * 4 * 720
= 138,240 ways
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What is the sum of the measures of the interior angles of a 10-sided figure?
A. 1,440°
B. 180°
C. 360°
D. 1,800°
The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.
For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.
Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.
The answer is A.
In a laboratory experiment, the population of bacteria in a petri dish started off at 7500 and is growing exponentially at 14% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent.
Answer:
Step-by-step explanation:
The function to represent the population of bacteria after t days can be written as:
P(t) = P0 * (1 + r)^t
where P0 is the initial population (7500), r is the daily growth rate (14% = 0.14), and t is the number of days.
Substituting the values, we get:
P(t) = 7500 * (1 + 0.14)^t
Simplifying, we get:
P(t) = 7500 * 1.14^t
To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. Since there are 24 hours in a day, the hourly growth rate, denoted by h, is given by:
h = (1 + r)^(1/24) - 1
Substituting the value of r, we get:
h = (1 + 0.14)^(1/24) - 1
= 0.005521
So, the percentage rate of change per hour is:
h * 100% = 0.5521%
Rounding to the nearest hundredth of a percent, we get:
h * 100% ≈ 0.55%
Evaluate the triple integral ∭Ex8eydV, where E is bounded by the parabolic cylinder z=16−y2z=16 and the planes z=0,x=4,and x=−4
Refer to the images attached.
How to calculate 19 divided by 20 using long division?
By using the long division method, the result of 19 divided by 20 is 0.95
Long division is a method of dividing two numbers using a step-by-step process of repeatedly dividing the dividend (the number being divided) by the divisor (the number you are dividing by), writing down the results of each step, and subtracting the remainder from the next dividend.
Here, 19 divided by 20
The picture shows the division process
To divide 19 by 20 using long division, you start by dividing 20 into the first digit of 19, which is 1. The result is 0 with a remainder of 1.
Then bring down the next digit, which is 9, and place it next to the remainder to make 19. You then divide 20 into 19, which gives you 0 with a remainder of 19.
Therefore, 19 divided by 20 is 0.95
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how much is 350 ml in oz
The expression 350 ml is equivalent to approximately 11.83 fluid ounces (fl oz).
How to convert the unitsFrom the question, we have the following parameters that can be used in our computation:
350 ml = x oz
To convert milliliters to fluid ounces
We can use the conversion factor of 1 milliliter = 0.033814 fluid ounces.
So, to convert 350 ml to fluid ounces, we can multiply 350 by 0.033814, which gives us:
350 ml x 0.033814 fl oz/ml = 11.83 fl
So, 350 ml is approximately equal to 11.83 fluid ounces.
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please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 9 inches has volume V = 3πx^2 + 42πx + 147π, what is the cone’s radius r in terms of x?
The cone’s radius r in terms of x is x + 7
How to determine tthe cone’s radius r in terms of x?From the question, we have the following parameters that can be used in our computation:
Volume, V = 3πx^2 + 42πx + 147π
Height, h = 9
The volume of a cone is
V = 1/3πr^2h
Substitute the known values in the above equation, so, we have the following representation
1/3πr^2 * 9 = 3πx^2 + 42πx + 147π
So, we have
3πr^2 = 3πx^2 + 42πx + 147π
Divide by 3π
r^2 = x^2 + 14x + 49
So, we have
r = √(x² + 14x + 49)
Take the square roots of both sides
r = x + 7
Hence, the value of r is x + 7
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How much water should be added to 14 mL of 14% alcohol solution to reduce the concentration to 7%?
We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.
First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.
Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.
We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.
Assume that x mL of water needs to be added.
The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.
The equation for the ultimate concentration can be written as follows:
1.96 mL / (14 + x) mL = 0.07
When we find x and simplify, we get:
x = (1.96 mL / 0.07) - 14 mL
x ≈ 14.86mL
In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.
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what is rational roots theorem?
The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.
The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.
For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.
The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.
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Anaiah is currently consuming 20 eggplants and 30 kiwis. His marginal utility per dollar spent on the 20 th eggplant is 160 utils and his marginal utility per dollar spent on the 30th kiwi is 190 utils. The price of an eggplant is $3 and the price of a kiwi is also $3. He has $180 to spend. How much is Anaiah currently spending on these goods? $ What are the reasons that Anaiah is behaving irrationally? Select all that apply. • He is not spending his entire income • He is spending too much on kiwis • He is not balancing what he spends on each good • His marginal utility per dollar spent is not the same for both goods
Anaiah is currently spending $150 on eggplants and kiwis.
Anaiah is behaving irrationally, because
1) He is not spending his entire income
2) He is spending too much on kiwis
3) He is not balancing what he spends on each good
4) His marginal utility per dollar spent is not the same for both goods.
Currently, Anaiah is spending:
On eggplants: 20 x $3 = $60
On kiwis: 30 x $3 = $90
Total spending: $60 + $90 = $150
Therefore, Anaiah is currently spending $150 on these goods.
The reasons that Anaiah is behaving irrationally are:
He is not spending his entire income: Anaiah has $180 to spend but he is only spending $150, which means he is not maximizing his utility by fully utilizing his budget.
He is spending too much on kiwis: Anaiah's marginal utility per dollar spent on kiwis is lower than his marginal utility per dollar spent on eggplants. Therefore, he should be spending more on eggplants and less on kiwis to maximize his utility.
He is not balancing what he spends on each good: Anaiah is consuming 20 eggplants and 30 kiwis, which means he is not allocating his budget efficiently to maximize his total utility. He should be consuming a combination of eggplants and kiwis that gives him the highest total utility within his budget constraint.
His marginal utility per dollar spent is not the same for both goods: Anaiah's marginal utility per dollar spent on eggplants is 160 utils while his marginal utility per dollar spent on kiwis is 190 utils. Therefore, he should be consuming more eggplants and fewer kiwis to maximize his total utility within his budget constraint.
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What is a two sample t test used for?
A two-sample t-test is a statistical test used to determine if there is a significant difference between the means of two independent groups or populations.
In research and experimental investigations, the two-sample t-test is frequently used to assess if there is a statistically significant difference between the mean values of two samples or groups.
The average test results of two separate student groups, for instance, may be compared by a researcher to see if one group performs noticeably better than the other.
The two-sample t-test makes the assumption that the two samples are independent, have nearly normal distributions, and have identical variances.
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Order the values from least to greatest fraction |-2 1/4| -1 1/4 3/4 -2 1/4 |1 1/4| |-1 3/4|
Ascending order of the numbers are,
⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |
What is Ascending order?The numbers which are arrange in order to least to greatest number is called Ascending order.
We have to given that;
All the numbers are,
⇒ |-2 1/4| , -1 1/4, 3/4, -2 1/4, |1 1/4|, |-1 3/4|
Now, We can simplify each number as;
⇒ | - 2 1/4 | = 2 1/4
= 9/4
= 2.15
⇒ - 1 1/4 = - 5/4
= - 1.25
⇒ 3/4 = 0.75
⇒ - 2 1/4 = - 9/4
= - 2.25
⇒ | 1 1/4| = 5/4
= 1.25
⇒ | - 1 3/4| = 7/4
= 1.75
Thus, Ascending order of the numbers are,
⇒ - 2.25, - 1.25, 1.25, 1.75, 2.15
⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |
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what is 10 cm to in?
Answer: 3.93701
Step-by-step explanation:
Find the sum: 9/10 9/100
A: 18/100
B: 90/100
C: 18/10
D; 99/100
Answer:
D: 99/100
Step-by-step explanation:
Find the sum: 9/10 9/100
A: 18/100
B: 90/100
C: 18/10
D; 99/100
9/10 = 90/100
so
90/100 + 9/100 = 99/100
Answer: D 99/100 I hope this helps
Step-by-step explanation:
9/10+9/100
Write all numerators above the least common denominator 100
90+9/100
Add the numbers 90+9 which would will give you your answer
99/100
Please Answer in ( a + bi ) form
Answer:
-10 - 4i
Step-by-step explanation:
We can rewrite the equation as (by getting rid of parentheses):
-8 + 3i - 2 - 7i
Now, we can add/subtract the values:
(-8-2) + (-7i+3i)
= -10 - 4i
A radio tower casts an 8-foot-long shadow at the same time that a vertical yardstick casts a shadow one half inch long. If the triangles formed by the objects and their shadows are similar, how tall is the radio tower?
Answer:
Step-by-step explanation:
1 yard = 1/2in shadow
Then 8ft = 192 * 1/2in
Then the radio tower is 192 yards (1 yard = 3 feet)
The radio tower = 576 feet
Answer:
Step-by-step explanation:
576
suponga que usted se mueve sobre una pista rectilinea y se dezplaza a partir de un punto fijo 12 metro hacia la derecha avanza en la misma dirección 5 metro y luego se regresa en sentido contraria 18 metros la distancia entre el punto fijo y usted es
You are 1 meter behind the fixed point.
What is distance in kinematics?The total path length covered by the moving body is called distance covered.
Given is that you move on a rectilinear track and move from a fixed point 12 meters to the right, advance in the same direction 5 meters and then return in the opposite direction 18 meters.
Total displacement = 12 + 5 - 18 = - 1
So, you are 1 meter behind the fixed point.
Therefore, you are 1 meter behind the fixed point.
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{Question in english -
Suppose you move on a rectilinear track and move from a fixed point 12 meters to the right, advance in the same direction 5 meters and then return in the opposite direction 18 meters, the distance between the fixed point and you is}
find the volume of the solid generated when the region bounded by y 9x and y =27x/x is revolved about the​ x-axis.
The volume of the solid generated when the region bounded by y = 9x and y = 27x/x is revolved around the x-axis is given by V = 27lnx - 9x + c
To calculate this volume, we need to calculate the area of the cross-section of a shell at x.
The cross-section is found by taking the difference of the two curves, y = 9x and y = 27x/x, at that particular x in the form of a rectangle.
The height of the rectangle is y₂ - y₁ and the width is the interval dx. Therefore, the area of the cross-section is given by
A(x) = (y₂ - y₁)dx = [(27x/x - 9x)dx].
The volume of the solid is then given by the formula
=> V = ∫A(x)dx.
Substituting in the expression for A(x), we have
=> V = ∫(27x/x - 9x)dx.
Integrating this expression, we get V = 27lnx - 9x + c, where c is an arbitrary constant.
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PLEASEEEEE ANSWER HURRY!!!!!!
Angle FPJ and angle JPI are congruent. Find the measure of major arc GHJ.
Using the theorem of angle around a point, the value of GHJ is 237 degrees
What is angle on a pointWhen we talk about the "angle around a point," we are usually referring to the total angle formed by two or more lines or line segments that intersect at a common point, known as the vertex.
Specifically, the "angle around a point" is equal to 360 degrees or 2π radians. This is because, when two or more lines intersect at a point, they form multiple angles, and the sum of these angles is always equal to 360 degrees or 2π radians.
Since we know that FPJ and JPI are congruent, this implies that they're equal to one another. We can find the value by setting them as x
x + x + 51 + 66 + 99 = 360
Reason: The sum of angles around a point is equal to 360 degrees
2x + 216 = 360
2x = 360 - 216
2x = 144
x = 72
The value of FPJ and JPI is 72.
The value of GHJ is is equal to 66 + 99 + 72 = 237°
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Manu bought a motorcycle for Rs 1,35,000 and sold it at a loss of 12%.find the selling
price of the motorcycle?
The selling price of the motorcycle is Rs 1,19,400. To calculate this, we can use the formula Selling Price = Original Price - (Original Price × Loss Percentage).
In this case,
Selling Price = 135000 - (135000 × 0.12) = 119400.To calculate the selling price of an item when a loss percentage is given, we first need to calculate the amount of the loss. This can be done by multiplying the original price by the loss percentage. Then, we subtract the loss amount from the original price to get the selling price.
In this example, the original price of the motorcycle was Rs 135000, and the loss percentage was 12%. Multiplying 135000 by 0.12 gives us a loss amount of 16200, and subtracting this from 135000 gives us a selling price of 119400. This calculation can be used to quickly and accurately determine the selling price of an item when a loss percentage is given.
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What is a number that when you subtract 18.9 from it you get 33.74
Answer: 52.64
Step-by-step explanation: add 18.9 and 33.74
A chicken coop contains chickens and rabbits. There are altogether 56 legs and 20 heads, How many hens are there in this chicken coop?
Answer: Impossible to answer/ 12 chickens 8 rabbits
Step-by-step explanation: The question asks how many hens there are, or female chickens. We do not know if the chickens are female or male, so we cannot answer. If you meant how many chickens there were, then we start with 20 chickens and 0 rabbits. Doing so, we have 40 legs. When we switch a chicken for a rabbit, we have 19 chickens and 1 rabbit, and 42 legs. So, we can subtract 56-40 giving us 16 extra legs we need, so we divide 16/2 giving us 12 chickens and 8 rabbits.
One important use of the regression line is to do which of the following? Choose the correct answer below. a. To make predictions about the values of y for a given x-value b. To determine the strength of a linear association between two variables c. To determine if a distribution is unimodal or multimodal d.Both A and B are correct
Regression line is used to make predictions about the values of y for a given x-value and to determine the strength of a linear association between two variables. The correct answer is option D.
The regression line is a straight line that best represents the relationship between two variables. It is commonly used in statistics and data analysis to make predictions about one variable based on the other variable. The regression line can also be used to determine the strength of the linear association between the two variables.
Option A is correct because the regression line can be used to make predictions about the values of y for a given x-value. Once the regression line has been calculated, it can be used to estimate the value of y for any given value of x. This is particularly useful in situations where it is not feasible or practical to obtain the actual value of y for a given x.
Option B is also correct because the regression line provides a measure of the strength of the linear association between two variables. The slope of the regression line indicates the direction and strength of the relationship between the two variables.
A positive slope indicates a positive relationship, while a negative slope indicates a negative relationship. The closer the slope is to zero, the weaker the relationship between the two variables. Therefore, Correct option is D - Both A and B.
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how is bsa calculated
The BSA or Body surface area can be calculated by the formula is as follows: Body Surface Area= 0.007184 x (Height(m)^0.725) x (Weight(kg)^0.425)
Body surface area was developed as a metric to be used as such in the modulation of many various pharmaceutical treatments and as a standard index to various physiological measurements like glomerular filtration rate and cardiac output.
The Du Bois and its formula is one of the most widely used methods to determine a person's body surface area, in despite the fact that there are actually numerous variations on this concept. In the measurement of physiological and pharmacological data, the body surface area metric is much highly valued. The most typical reference point for chemotherapeutic drug dosing is body surface area.
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