Answers
Answer:
Step-by-step explanation: it just graph of y=-x
y+x=
4x+4y4y=
Related Questions
There is considerable evidence to support the theory that for some species there is a minimum population m such that the species will become extinct if the size of the population falls below m This condition can be incorporated into the logistic equation by introducing the factor
(1-(m/p)) Thus the modified logistic model is given by the differential equation
dP/dt = kP (1- (P/K)) (1-(m/P))
where k is a constant and k is the carrying capacity.
Suppose that the carrying capacity k = 10000 the minimum population m = 800 and the constant k = 0.05 Answer the following questions.
1. Assuming P >= 0 for what values of P is the population increasing.
Answer (in interval notation): (0,10000)
2. Assuming P >= 0 for what values of P is the population decreasing.
Answer (in interval notation):
Answers
For, the given differential equation, 1) For 800 < P < 10000, the population will increase and 2) For 0 < P < 800, the population will decrease.
dP/dt = kP (1- (P/K)) (1-(m/P)) -(1)
where k is a constant and K is the carrying capacity.
Here, K = 10000, m = 800 and k = 0.05
Putting these values in Equation 1 we get,
dP/dt = 0.05P (1- (P/10000)) (1-(800/P))
1.) If dP/dt > 0 then P is increasing
As dP/dt > 0
So, 0.05P (1- (P/10000)) (1-(800/P)) > 0
Both ((10000- P)/10000) > 0 and ((P-800)/P) > 0
=> P < 10000 and P > 800
So, for 800 < P < 10000, the population will increase.
2.) If dP/dt < 0 then P is decreasing
As dP/dt < 0
So, 0.05P (1- (P/10000)) (1-(800/P)) < 0
Both ((10000- P)/10000) > 0 and ((P-800)/P) > 0
=> P > 10000 and P < 800
So, for 0 < P < 800, the population will decrease.
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A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 109° and angle z = 58°. Work out x , explaining each stage of your working in the comment box.
A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 109° and angle
z
= 58°.
Work out
x
, explaining each stage of your working in the comment box.
Answers
Answer:
The exterior of a triangle is the sum of two of its interior angles except the one adjacent to it. The angle x is evaluated as 135°.
What is a triangle?
A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle shown in the figure with following angles,
∠y = 102° and ∠Z = 57°.
Angle x is the exterior angle of the given triangle. Use the property of exterior angle to get,
∠x = ∠B + ∠Z
= (180° - y) + 57°
= (180° - 102°) + 57°
= 135°
Hence, the angle x has been worked out as ∠x = 135°.
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A triangle has two sides of length 12. which of the following could be the length of the third side?
Answers
As a result, the third side's length might be any value higher than 0 and less than 12, or any number bigger than 12 and less than 24.
Hence, option (c) is correct choice.
The length of a triangle's third side must meet the triangle inequality theorem, which says that the total of the lengths of the triangle's two sides must be higher than the length of the triangle's third side.
As a result, the length of the third side of a triangle with two sides of length 12 must be between 0 and 24, omitting 12.
The third side can have the following lengths:
0 < length < 12
12 < length < 24
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The missing option may be:
(a) 6 < length < 12
(b) 2 < length < 4
(c) 12 < length < 24
(d) 15 < length < 30
Molly gets an allowance of $25 per week. If she spends $3 each day Monday-Friday on lunch, and saves the rest, how much money will she have saved after 4 weeks?
Answers
Answer: she will save 40$
check picture for more info
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In the diagram below of triangle KLM, N is the midpoint of KM and O is the
midpoint of LM. Ifm/MKL = 61 + 9x, and m/MNO = 2x + 75, what is
the measure of ZMNO?
M
L
O
M
Answers
The measure of the angle MNO is 79 degrees
How to determine the measure of the angleThe midpoint of KM and O is also the midpoint of LM as expressed in the information given.
We have the parameters;
m/MKL = 61 + 9xm/MNO = 2x + 75Note that the midpoint of the triangle is expressed as;
m/MKL = m/MNO
Now, substitute the values, we get;
61 + 9x = 2x + 75
collect like terms
9x - 2x = 75 - 61
add or subtract the like terms
7x = 14
Now, divide both sides by the coefficient of x, we get;
7x/7 = 14/7
Divide the values
x = 2
Substitute the value into the expression
m/MNO = 2x + 75
m/MNO = 2(2) + 75
expand the bracket
m/MNO = 79
Hence, the value is 79
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During the construction of a recent office building, your
company's framing crew installed 515 lineal feet of 8-foot-
high, metal-stud wall in two days. The crew consisted of two
carpenters and one helper and worked eight hours per day.
Determine productivity rate in
labor hours per foot of wall for installing metal-stud walls on
this project
Edit View Insert Format Tools Table
Answers
The productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.
What are fractions?In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers. The depiction of fractions appears easier than when decimal values are used.
For carpenter, the total hours contributed are:
(2)(8) = 16 hours
No of das worked by carpenter are 2 days.
The total hours contributed by 2 carpenters are:
16 (2) = 32 hours
The production rate of carpenter is = hours / total work
= 32/ 515 = 0.062 hour / feet.
Hence, the productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.
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Find the limit. (Let s and t represent arbitrary real numbers. If an answer does not exist, enter DNE.) lim x→[infinity] x2 + sx − x2 + tx
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
lim x→[infinity]
x + x2
1 − 4x2
Expert Ans
Answers
The limit of x + x2 divided by 1 - 4x2 as x approaches infinity is 0. To solve this limit, we can use l'Hospital's Rule.
The numerator and denominatorThis rule states that if the limit of a function as x approaches a certain point is 0/0, ∞/∞, or any other indeterminate form, we can take the derivatives of the numerator and denominator and then find the limit of the new fraction.In this case, the limit of the original fraction is 0/0.The derivatives of the numerator and denominator are x + 2x and -8x, respectively.The limit of x + 2x divided by -8x as x approaches infinity is -1/8. Therefore, the limit of x + x2 divided by 1 - 4x2 as x approaches infinity is -1/8.This is an indeterminate form of type 0/0, so l'Hôpital's Rule can be used to find the limit. Since the numerator and denominator both approach 0 as x goes to infinity, we can differentiate them and use the quotient rule to find a new function.The derivative of x + x2 is 1 + 2x, and the derivative of 1 − 4x2 is −8x. So, the new function is (1 + 2x) / (−8x). As x goes to infinity, the limit of this new function is −1/8. Therefore, the limit of the original function is also −1/8.
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Given the following diagram and the fact that HJK=138 find the m LJK
Answers
Answer:
<LJK = 69 degrees
Step-by-step explanation:
Triangle HKL and LJK are congruent, therefore their angles will be as well. Divide HJK by 2; 138 / 2 = 69
find the least positive integer N such that the set of 1000 consecutive integers beginning with 1000 N
Answers
The least positive integer N such that the set of 1000 consecutive integers beginning with 1000 N is 282.
Let x² appear before 1000N so:
(x+1)² − x² >1000⟹ x ≥ 500
Let A = [1000N, 1000(N+1)]
So I let x=500
then, x²=250000
, obviously this is impossible since the set has a square already.
So now I need to set some number, k² ≥ 5012 = 0 (mod1000)
So I need to solve the quadratic residue:
Lets see: 500²=250000
and 501²=251001
and 502²=252004
501²=500²+1000+ ∑ (12k−1)
502²=500²+2(1000)+∑ (12k−1)
The final answer is: N=282
All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043.
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.
When two functions have different rates of change, and different initial values, the function with the greater rate of change will have the greater output value for every input value.
Answers
The function with the greater rate of change will have the greater output value for every input value which is true.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Let m₁ > m₂ and c₁ > c₂. Then the equations are given as,
y = m₁x + c₁
y = m₂x + c₂
The function with the greater rate of change will have the greater output value for every input value which is true.
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y > x - 3 a. Change the inequality into slope- intercept form, and then change it into an equation.
Answers
The slope of the inequality y > x - 3 is 1
What is the slope of an inequality?
The slope of a line is the ratio of the amount that y increases as x increases some amount
To change the inequality y > x - 3 into slope,
substract x from both sides of the inequality
y- x > x - 3-x
= y-x>-3
= y<-3+x
From the inequality y<-3+x the co-efficient of x is 1
Hence, The slope of the inequality is 1
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Write a two-column proof.
Answers
The two column proof that shows congruency of ΔACD ≅ ΔBDC is as detailed below.
How to write a two column proof?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
We want to prove that ΔACD ≅ ΔBDC
Statement 1: AD ⊥ DC, BC ⊥ DC, ∠DAC ≅ ∠CBD, AD ≅ BC, BD ≅ AC
Reason: Given
Statement 2: BC ≅ BC
Reason 2: Reflexive Property of Congruence
Statement 3: ∠DAC ≅ ∠DBC
Reason 3: Corresponding Angles
Statement 4: ∠ACD ≅ ∠BDC
Reason 4: Corresponding Angles
Statement 5: ΔACD ≅ ΔBDC
Reason 5: CPCTC( Corresponding Parts of Congruent Triangles are Congruent.)
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find the value of x in both of the problems
Answers
Answer:
x = 127°
x = 36
Step-by-step explanation:
For the question 5:The sum of interior angles for the given geometrical figure is calculated with the following formula:
(s-2) × 180
s is the number of sides/angles.3 × 180 = 540
Find the sum of all angles.90 + 143 + 77 + 103 + x = 540
Add like terms.413 + x = 540
Subtract 413 from both sides to isolate x.x = 127°
For the question 6:The given is a hexagon. The sum of its exterior angles is equal to 360.
Find the sum of the given angles to find the value of x.80 + 59 + 2x + 59 + 54 + x = 360
Add them up.252 + 3x = 360
Subtract 252 from both sides to isolate x.3x = 108
Divide both sides by 3.x = 36
Housing prices in a small town are normally distributed with a mean of $152,000 and a standard deviation of $8,000. Use the empirical rule to complete the following statement. Approximately 68% of housing prices are between a low price of $Ex: 5000 and a high price of $
Answers
Approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.
The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Given that the mean of housing prices is $152,000 and the standard deviation is $8,000, we can use the Empirical Rule to determine that approximately 68% of housing prices fall within one standard deviation of the mean. This means that the range of prices that contains 68% of the data is between:
$152,000 - $8,000 = $144,000 and $152,000 + $8,000 = $160,000.
So, approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.
please help me will give u extra points :)
•
Answers
Answer: -8<x> 2
Step-by-step explanation:
open circles indicate that the number shown is not included therefore x must lie in-between -8 and 2
Can someone help me please
Answers
Answer:
[tex]r=14\mathring{}[/tex]
Step-by-step explanation:
[tex](5r-5)\mathring{}+(8r+3)\mathring{}=180\mathring{}\\5r-5+8r+3=180\mathring{}\\13r-2=180\mathring{}\\13r=180\mathring{}+2\\13r=182\mathring{}\\r=\frac{182}{13} \\\\r=14\mathring{}[/tex]
89.0 mL of a liquid is massed in a graduated cylinder. The total mass is 437.2 g. The empty graduated cylinder has a mass of 277.0 g. What is the density of the liquid?
Answers
Steps:
Determine the mass of the liquid by subtracting the mass of the empty graduated cylinder from the total mass:
437.2 g - 277.0 g = 160.2 g
Convert the volume of the liquid from mL to L:
89.0 mL * 1 L/1000 mL = 0.089 L
Calculate the density by dividing the mass of the liquid by its volume:
160.2 g / 0.089 L = 1,801.12 g/L
So, the density of the liquid is 1,801.12 g/L.
An exponential function f(x) has f (2) = 36
and f (3) = 216. What is f (4)?
Answers
When dividing two exponential functions with the same base, the second law states that the exponents must be subtracted
f(4) = (6)⁴ = 1296
What is meant by exponential function?According to the first law, adding the exponents will multiply two exponential functions with the same base. According to the second law, we must subtract the exponents when dividing two exponential functions with the same base. The third law indicates that we must multiply the exponents in order to increase a power to a new power.
Here,
Given :
=>f(2) = 36
=> f(3) = 216
So,
=> f(x) = (6)ˣ
=>f(4) = (6)⁴ = 1296
If f(x) = , where b > 0 and b 1, is the formula for an exponential function. B is referred to as the base and x is referred to as the exponent, just like in any exponential expression. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by two folds per hour.
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the length of a rectangle is 3 1/6 cm more longer than the width. the perimeter of the rectangle is 15 1/3 cm. what is the width and length of the rectangle?
Answers
The required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Length = 3 1/6 + width
perimeter of the rectangle = 2[length + width]
15 1/3 = 2 [3 1/6 + width + width]
46/3 × 1/2 = 19/6 + 2 width
23 / 3 - 19 / 6 = 2 width
[46 - 19]/ 12 = width
width = 25/12 cm
Now,
Length = 25/12 + 19/6
Length = 63 / 12 cm
Thus, the required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.
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The angles of a triangle haves measures of 90°, 65°, and (x-10)°. What is the value of x?
Answers
We know that the sum of angles of a triangle are 180°
If you don't know how to find the angles of a triangle
We use the formula,
[tex](n-2)X180[/tex]
Where n replicates the sides of a polygon
Applying the sides into the formula we get
[tex](3-2)X180\\1X180\\180[/tex]
Now in order to find x we sum up all the angles into a equation
90°+ 65°+ x - 10° = 180°
145 + x = 180
We then transpose 145 to the Right Hand Side (RHS)
x = 180 - 145
x = 35°
Hence , the value of x is 35°
Write the algebraic expression as a phrase. $-2z+8$
Answers
Answer: Negative two times z plus eight.
Step-by-step explanation:
The expression $-2z + 8$ represents "negative two times the quantity of z plus 8". To interpret this as a phrase, we can say "8 increased by the negative of two times the quantity of z."
Use the graph below to answer all parts of question 4.
Find the slope of the line between points A and B.
M=
Find the slope of the line between points B and C.
(Do not reduce the fraction)
M=
Find the slope of the line between points A and C.
(Do not reduce the fraction.)
M=
Complete the statement.
The slopes I found are, (A)equivalet, (B)Improper, (C)negative fractions. This means that the slope triangles are, (A)congruent, (B)similar and no matter what, (A)four, (B)three, (C)two points I pick on the line the slope will be the (A)same, (B) different.
Answers
The slopes I found are (A) equivalent. This means that the slope triangles are (B) similar and no matter what (C) two points I pick on the line the slope will be the (A)same.
How to determine the slope of the line?
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Mathematically, the slope is the change in y divided by the change in x. That is:
Slope = y2-y1 / x2-x1
The slope of the line between points A and B:
A (x1 = -5, y1 = -2) and B (x2 = -2, y2 = 0)
Slope = [(0-(-2) )]/ [-2-(-5)] = 2/3
The slope of the line between points B and C:
B (x1 = -2, y1 = 0) and C (x2 = 4, y2 = 4)
Slope = [4-0]/ [4-(-2)] = 4/6 = 2/3
The slope of the line between points A and C:
A (x1 = -5, y1 = -2) and C (x2 = 4, y2 = 4)
Slope = [(4-(-2))]/ [4-(-5)] = 6/9 = 2/3
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The weight of a sphere is proportional to the radius cubed. If a sphere of diameter 1 cm has a mass of 2 grams what diameter sphere has a mass of 54 grams?
Answers
The mass of the sphere is proportional to the radius cubed, so we can write:
m = k * r1^3
where k is the constant of proportionality. We know that m = 2 g and r1 = 0.5 cm, so we can solve for k:
k = 2 / (0.5)^3 = 32 g/cm^3
Now we can use the constant k to find the mass of a sphere of radius "r2":
m = k * r2^3
We want to find the radius of a sphere with a mass of 54 g, so we can substitute m = 54 g:
54 = 32 * r2^3
Finally, we can solve for r2:
r2 = (54 / 32)^(1/3) cm
So, the diameter of the sphere with a mass of 54 g is 2 * r2 cm
A company wants to estimate the mean time it will take workers to complete a certain task. They record the times to complete the task for a random sample of 30 workers. Match the following: ____ mean time to complete a certain task for 30 workers from this company ____ all workers from this company ____ a worker from this company ____ mean time to complete a certain task for all workers from this company ____ 30 workers from this company
____ time to complete a certain task
a. sample
b. parameter
c. individual
d. variable
e. statistic
f. population
Answers
1. Mean time to complete a specific task for 30 workers from this company refers to A: sample.
2. All employees from this company are known as F: population
3. A employee from this company is called an C: individual
4. Mean time to complete a specific task for all workers from this company is said to be as B: parameter.
5. 30 employees from this company make E: statistic
6. Time to complete a specific task is called a D: variable
Brief Explaination of each Answer is Given Below:
"Sample" refers to a subset of a larger population that is selected for study. In this case, the "sample" is the 30 workers from the company whose times to complete the task have been recorded.
"Population" refers to the entire set of units or items under study. In this case, the "population" is all workers from the company.
"Individual" refers to a single unit or item in a set. In this case, an "individual" is a single worker from the company.
"Parameter" refers to a characteristic or value that describes a population. In this case, the "parameter" is the mean time it will take all workers from the company to complete the task.
"Statistic" refers to a value that describes a sample. In this case, the "mean time to complete a certain task for 30 workers from this company" is a statistic.
"Variable" refers to a value that can change within a set. In this case, "time to complete a certain task" is the variable of interest.
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Place an operation sign between two of the digits to make the equation true.
96 2 5 8 0 7 = 8,818
Answers
Operation sign between two of the digits is 96 ÷ 2 × 5 + 8 × 0 - 7 = 8,818
What is PEMDAS theory?This question uses the Order of Operations (PEMDAS) theory.
The order of operations states that we should work through equations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In this question, the first operation was division (96 ÷ 2), followed by multiplication (48 × 5), then addition (240 + 8), then multiplication (248 × 0), and finally subtraction (0 - 7).
Step 1: 96 ÷ 2 = 48
Step 2: 48 × 5 = 240
Step 3: 240 + 8 = 248
Step 4: 248 × 0 = 0
Step 5: 0 - 7 = -7
Step 6: -7 = 8,818
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Your dinner in tokyo cost 10,000 Japanese yen. how much was it in u.s dollars?
ANSWER SHOULD BE ROUND TO TWO DECIMAL
Answers
Answer:
~$76.99
Step-by-step explanation:
Right now, ~¥129.89 is equivalent to $1. Your dinner costs ¥10,000. To solve, divide the total cost of your dinner with the equivalent yen price compared to the dollar:
(¥10,000)/(¥129.89) = ~76.99 (rounded to the nearest cent).
~$76.99 would be your answer.
~
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Question 1 Use PORS to find m
Answers
The measure of ∠R of the given parallelogram is 52°.
What is a parallelogram?
A parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of a similar measure.
Some of the properties of a parallelogram are,
A pair of parallel and opposite sides are equal in lengthThe opposite angles are equal in measureThe sum of adjacent angles is 180°Given,
Length of PS = 3
Length of RS = 5
∠Q = 128°
Since it is a parallelogram,
PS = QR = 3 and RS = QP = 5
∠Q + ∠R = 180
m∠R = 180 - ∠Q = 180-128 = 52°
Therefore the measure of ∠R of the given parallelogram is 52°.
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We have 81% of our team here today and we have 16 members so , how many members are missing today
2
3
4
12
13
Answers
Answer:
12.96
Step-by-step explanation:
13 members are missing today.
You can calculate this by subtracting the percentage of members present (81%) from 100% and then multiplying that number by the total number of team members (16).
100-81 = 19
19/100*16 = 3.04
16-3.04 = 12.96 = 13 (rounded)
Answer:
3 members MISSING
Step-by-step explanation:
0.81 x 16 = ~13
16 - 13 = 3 missing members
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answers
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
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Chrissy says her book is 12 inches long Jessie says that it is 1 foot long if both of them are correct why do their measurements seem different
Answers
12 inches is equal to one foot. 12 inches seems like more because 12>1, but they are really equal.
