Answer:
good luck
Step-by-step explanation:
ax^2-y^2-x-y factorize
Answer:
x(ax-1)-y(y+1)
Step-by-step explanation:
you have to group the like terms
ax^2-x-y^2-y
x(ax-1)-y(y+1)
I hope this helps
The number N of bacteria in a culture is given by the model N=175ekt where t is the time in hours. If N=420 when t=8, estimate the time required for the population to double in size. (Hint: You need to find k first rounded to four decimal places.) Show all work on scrap paper to receive full credit.
1. First, we need to find the value of k. We are given that N = 420 when t = 8, so we can plug these values into the given model:
420 = 175 * e^(k * 8)
2. Next, let's isolate k by dividing both sides by 175:
420 / 175 = e^(k * 8)
2.4 = e^(k * 8)
3. Now, we will take the natural logarithm (ln) of both sides to remove the exponential term:
ln(2.4) = ln(e^(k * 8))
4. Use the property of logarithms that allows us to bring down the exponent:
ln(2.4) = 8 * k
5. Finally, solve for k by dividing by 8:
k = ln(2.4) / 8
k ≈ 0.0357 (rounded to four decimal places)
Now that we have found the value of k, we can estimate the time required for the population to double in size.
6. If the population doubles, N will be 2 * 175 = 350. Plug this value and the calculated k into the model:
350 = 175 * e^(0.0357 * t)
7. Divide both sides by 175:
2 = e^(0.0357 * t)
8. Take the natural logarithm of both sides:
ln(2) = ln(e^(0.0357 * t))
9. Bring down the exponent:
ln(2) = 0.0357 * t
10. Solve for t:
t = ln(2) / 0.0357
t ≈ 19.4 hours
So, it will take approximately 19.4 hours for the population to double in size.
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Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Answer:
The car will be worth £2516.22 in 5 years
Step-by-step explanation:
The rule of depreciating is
\(A=P(1-r)^{t}\), where
A is the new valueP is the original valuer is the rate in decimalt is the time in years∵ Dan buys a car for £2700
∴ P = 2700
∵ It depreciates at a rate of 1.4% per year
∴ r = 1.4% = 1.4/100 = 0.014
∵ We need to find how much it will be worth in 5 years
∴ t = 5
→ Substitute all of these values in the rule above to find A
∵ \(A=2700(1-0.014)^{5}\)
→ Use your calculator to find the answer
∴ A = 2516.22
∴ The car will be worth £2516.22 in 5 years
Given that tan(θ)=7/24 and θ is in Quadrant I, find cos(θ) and csc(θ).
The Pythagorean identity is a trigonometric identity that relates the three basic trigonometric functions - sine, cosine, and tangent - in a right triangle.
Given that tan(θ) = 7/24 and θ is in Quadrant I, we can use the Pythagorean identity to find the value of cos(θ):
cos²(θ) = 1 - sin²(θ)
Since sin(θ) = tan(θ)/√(1 + tan²(θ)), we have:
sin(θ) = 7/25
cos²(θ) = 1 - (7/25)² = 576/625
cos(θ) = ±24/25
Since θ is in Quadrant I, we have cos(θ) > 0, so:
cos(θ) = 24/25
To find csc(θ), we can use the reciprocal identity:
csc(θ) = 1/sin(θ) = 25/7
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w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
Please last question need help! Will give Brain
Which of the following statements about the stock market is true?
*
A bear market is one where stock prices are trending upwards.
We’ve been in a bull market for the last 20 years.
Over time, the stock market averages 6-7% growth per year.
Stocks are a low-risk short-term investment because trends are predictable.
The correct statement about the stock market is: Over time, the stock market averages 6-7% growth per year.
Here the question is asking which of the statements about the stock market is true.
We are given four assertions and must determine which one is correct.
Identify the false statements:
Statement 1 may be removed since a bear market is one in which stock values are going downwards rather than upwards. Similarly, assertion 4 is inaccurate since stocks are not low-risk short-term investments, and short-term trends are not always predictable.
Analyze statement 2:
We cannot confirm whether the stock market has been in a bull market for the last 20 years since it depends on which stock market we are referring to and the time period in question.
Therefore, we cannot accept this statement as being true.
Analyze statement 3:
This statement is accurate since historically, the stock market has returned an average of 6-7% growth per year over the long-term. However, it is essential to note that the stock market can be volatile in the short-term, and there is always the risk of losing money.
Now,
Choose the correct statement:
After analyzing all the statements, we can conclude that statement 3 is true.
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I buy 5m of cloth at x per metre. How much change will I get from 7000naira
Answer:
To solve this problem, we need to know the value of x, the price per meter of cloth. Let's assume that x is given in naira. Then, the cost of 5 meters of cloth is:
5m * x naira/m = 5x naira
To find the change from 7000 naira after buying the cloth, we need to subtract the cost of the cloth from 7000 naira:
Change = 7000 naira - 5x naira
We can't find a specific answer without knowing the value of x. But, if we assume that x = 1000 naira/m, then the cost of 5 meters of cloth would be:
5m * 1000 naira/m = 5000 naira
Then, the change from 7000 naira would be:
Change = 7000 naira - 5000 naira = 2000 naira
Therefore, if the price per meter of cloth is 1000 naira, then the change from 7000 naira would be 2000 naira. However, if the actual value of x is different, then the answer would be different as well.
Step-by-step explanation:
HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm
Answer:
x= 44 cm
Step-by-step explanation:
\( {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44\)
Question 6 (4 points) Three people use the following procedure to divide a (perfectly divisible and homogenous) cake. Player 1 first divides the cake into two pieces. Next, player 2 selects one of the two pieces. Player 1 gets the other share, while player 2 must now divide the piece he or she picked. Finally, player 3 chooses one of the two pieces that player 2 just created, and player 2 consumes what remains. Suppose that each player cares only about the size of the piece of cake he or she ultimately obtains. Compute the subgame perfect Nash equilibrium (please provide complete strategies, not just the equilibrium payoffs).
The subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.
The subgame perfect Nash equilibrium and complete strategies are as follows:
First subgame: Player 1 splits the cake into two pieces. Player 1 takes the smaller of the two pieces, while Player 2 takes the larger. Next, Player 2 divides the larger piece into two. Player 2 chooses the piece that is equal in size to the smaller piece of the initial division. Player 2 gives the other piece to Player 3, who must now select one of the two pieces. If Player 3 selects the smaller piece, Player 2 will obtain the larger of the two pieces that Player 2 divided, which is greater than or equal in size to the piece Player 2 gave to Player 3. As a result, Player 3 chooses the larger of the two pieces. Therefore, the subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.Learn more about Nash equilibrium:
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You bought a used boat for $25,000. The value of the boat will decrease each year because of
depreciation. The boat depreciates at the rate of 7% per year.
Write the exponential model.
Answer:
25,000 - x(0.07)
Step-by-step explanation:
Have a great day!
what is 28.5 inches in height?
Determine the length of HE
8 units
3 units
5 units
2 units
The length of HE is 3 units, which is tangent on the circle.
Explain the term tangent of the circle?Tangents to circles are lines that cross the circle at such a single point.
Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent intersects it, is perpendicular here to tangent.The tangent line only touches the circle; it never completely encircles it. At the tangency point, it is parallel to the radius.The angle formed by a chord and tangent is identical to the angle formed by the tangent engraved on the chord's opposing side.For the stated question-
HE and GE are both tangents on circle from the same point E.Thus, both tangent will be equal by the property of the tangent.HE = GE = 3 units.
Thus, the length of HE is 3 units, which is tangent on the circle.
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use the ratio test to determine whether the series is convergent or divergent. [infinity] n 7n n = 1 identify an.
To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.
In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:
lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|
Simplifying the expression, we get:
lim(n→∞) |7(n+1)/n|
As n approaches infinity, the limit evaluates to:
lim(n→∞) |7(n+1)/n| = 7
Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.
However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.
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At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?
Answer:
He has $347.13
Step-by-step explanation:
217.25+49.58+105.75-25.45=347.13
In a figure, m < a = 15x + 81 and m < c = 10x + 24 if < a and < c are supplementary find the measure of angle c.
The measure of angle c is 54 degrees
How to find the measure of angle c?The given parameters are
a = 15x + 81
c = 10x + 24
Angles a and c are supplementary angles
So, we have
a + c = 180
This gives
15x + 81 + 10x + 24 = 180
Evaluate the like terms
25x = 75
Divide by 25
x =3
Substitute x =3 in c = 10x + 24
c = 10 * 3 + 24
Evaluate
c = 54
Hence, the measure of angle c is 54 degrees
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Determine if the following discrete-time systems are causal or non-causal, have memory or are memoryless, are linear or nonlinear, are time-invariant or time-varying. Justify your answers. a) y[n]=x[n]+2x[n+1] b) y[n]=u[n]x[n] c) y[n]=∣x[n]∣. d) y[n]=∑i=0n(0.5)nx[i] for n≥0
a) Causal, memoryless, linear, time-invariant.
b) Causal, memoryless, linear, time-invariant.
c) Causal, memoryless, nonlinear, time-invariant.
d) Causal, has memory, nonlinear, time-invariant.
a) The system described by y[n] = x[n] + 2x[n+1] is causal because the output value at any time index n only depends on the current and past input values. It is memoryless since the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a linear combination of the input values. It is also time-invariant because the system's behavior remains unchanged over time.
b) The system y[n] = u[n]x[n] is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a product of the input signal and a constant. It is also time-invariant because the system's behavior remains unchanged over time.
c) The system y[n] = |x[n]| is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is nonlinear because the absolute value operation is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.
d) The system y[n] = ∑(0.5)^n x[i] for i=0 to n is causal since the output at any time index n only depends on the current and past input values. It has memory because the output at a given time index n depends on all past input values up to the current time index. The system is nonlinear because the output is a sum of terms raised to a power, which is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.
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How will the graph of the function f(x) = 3* translate when the function is changed to f(x) = 3(x-2)?
A. shift 2 units right
B. shift 2 units left
C. shift 2 units up
D. shift 2 units down
Answer: B
Step-by-step explanation:
how many tablespoons is 2 oz
Two ounces of liquid is equivalent to four tablespoons. both are unit of measurement of volume
This can be useful when converting recipes or measuring ingredients. A tablespoon is a unit of measurement that is typically used to measure small amounts of ingredients such as spices, butter, oil, and other liquids. It typically holds three teaspoons of liquid or dry ingredients.
One tablespoon is equivalent to 15 milliliters, which is equal to 0.51 fluid ounces in the United States. Therefore, two ounces is equal to four tablespoons. When measuring ingredients, be sure to use the appropriate measurements for accuracy and to avoid over- or under-measuring.
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A rectangle has a height of x + 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x2
+
32
+ 2
х
+
4
Answer:
Step-by-step explanation:
we have height, h=x+4
w=x^2+3x+2
Area, A=h*w
A=(x+4)(x^2+3x+2)=x^3+3x^2+2x+4x^2+12x+8=
=x^3+7x^2+14x+8
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as +3 percentage points. What values do ​, ​, ​n, E, and p​ represent? If the confidence level is ​%, what is the value of ​?
The completion of the tabs are:
The value of \(\bar p\) is the sample proportion.The value of \(\bar q\) is found by evaluating \(1-\=p\)The value of n is the sample size.The value of E is the margin of error.The value of p is the population proportion. α = 0.05.What is the margin of error.?You may calculate how many percentage points your findings will deviate from the actual population figure by using something called a margin of error.
In conclusion
The worth of p^ is the fraction of the sample.The worth of p^ is discovered by assessingThe sample size is given by the number n.The margin of error is expressed as E's value.The population percentage is represented by the value of p. α = 0.05.In conclusion,
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janine speds 1/10 hour making the bed, 1/5 hour getting dressed, 1/2 hour eating breakfast. what is the total fraction of an hour
The total fraction of an hour that Janine spends making the bed, getting dressed, and eating breakfast is 4 / 5 hour.
The total fraction of an hour that Janine spends making the bed, getting dressed, and eating breakfast can be calculated by adding the fractions of time she spends on each activity:
1/10 hour + 1/5 hour + 1/2 hour
= (2 + 1 + 5) / 10 hour
= 8 / 10 hour
= 4 / 5 hour
The addition of two or more fractions with the same denominator is straightforward.
Simply add the numerators and keep the same denominator. For example:
(1/5) + (2/5) = (1 + 2) / 5 = 3/5
If the fractions have different denominators, you will need to find a common denominator before adding the numerators. The common denominator is the least common multiple of the denominators. Once you have found the common denominator, convert each fraction to an equivalent fraction with the common denominator and then add the numerators.
For example:
(1/5) + (2/3) = (3/15) + (10/15) = (3 + 10) / 15 = 13/15
So the addition of two or more fractions is performed by finding a common denominator, converting the fractions to equivalent fractions with the common denominator, and then adding the numerators.
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According to the video above, the geometric object called a(n) ___ has the characteristics that it has one endpoint and extends in away from that endpoint without end.
They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.
According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.
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A pair of jeans cost $30. There is a 6% sales tax determine the total cost of the jeans
Answer:
31.80 in total
Step-by-step explanation:
multiply 30 by 0.0 and get 1.8, then add that o 30! hope this helps!
Choose the Algebraic equation that matches the table
A) y = x - 3
B) y = x + 2
C) y = x - 2
D) y = -x - 2
(tan B /1-cot B) + (cot B/1-tan B)
Please help me .Full point.
Answer:
Hope it helps i typed and attached it pic through word :)
Step-by-step explanation:
in the pic !!!
the following data set provides information of households by total money income, race, and hispanic origin of householder. looking at the data set or chart for household income for all races in 2015, what percent of households are in the category range that contains the mean?
Based on the given information, if the measurement of the median and the mean were reversed, it is most likely that: A. The data are skewed to the left.
When the mean is greater than the median, it indicates that the data distribution is skewed to the right. However, if the measurement of the median and the mean were reversed, it implies that the median (56,516 dollars) is greater than the mean (approximately 79,263 dollars). This suggests that the distribution is likely to be skewed to the left, with a longer tail on the left side of the distribution. In other words, there is an accumulation of lower-income households that pulls the median higher than the mean. Therefore, option A, "The data are skewed to the left," is the most likely scenario.
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Correct question:
The following data set provides information of Households by Total Money Income, Race, and Hispanic Origin of Householder.
Race and Hispanic orign of householder and year Number (thousands) Percent distribution Percentdistribution Median income (dollars)
Total Under$15,000 $15,000 to $24,999 $25,000 to $34,999 $35,000 to $49,999 $50,000 to $74,999 $75,000 to $99,999 $100,000 to $149,999 $150,000 to $199,999 $200,000 and over Estimate StandardError Estimate StandardError
ALL RACES
2015 125,819 100 100 11.6 10.5 10 12.7 16.7 12.1 14.1 6.2 6.1 56,516 321 79,263 403
If the measurement of the median and the mean were reversed, which of the following is most likely? Provide 100 words with 20 words main answer separate and 80 words explanation.
A. The data are skewed to the left.
B. The data are skewed to the right.
C. The data are symmetrical.
D. Not enough information to make a decision.
A cube is painted so that one face is blue, two faces are red, and three faces are green. How many different such cubes can be painted
There is only one way to paint such a cube, as each face must be a different color. So, the answer is one.
The Importance of Color Variety in Art: A Look at the Possibility of Painting a CubeWhen it comes to creating art, there is no denying the importance of color. It is one of the most powerful tools an artist has at their disposal, as it can be used to convey a wide range of emotions, ideas, and messages. Even a simple object such as a cube can be transformed into a work of art with the right colors. This essay will explore the potential of painting a cube with a variety of colors, and why it's important to use a variety of colors in artwork.
When it comes to painting a cube, one must choose colors that will create a harmonious yet interesting look. The colors should be chosen carefully because they will be the focus of the piece. A cube painted with only one color would be too dull and boring, while a cube painted with an array of colors will make it more visually appealing. To create a successful painting of a cube, one should use colors that contrast and complement each other. For example, a cube can be painted so that one face is blue, two faces are red, and three faces are green.
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The sum of two numbers, x and y, Is 12. The difference of x and two times y is 6. What are the values of x and y?
A. x=8, y= 4
B.x= 10, y= 2
C. x = 18, y=-6
D. X= 20, y=-8
Answer:
B. x = 10, y= 2
Step-by-step explanation:
10 plus 2 is 12 and when 2 is doubled and then subtracted from 10, the difference is 6
If 4 less than three times a number, p, is twice the
number, which of the following equations could be used
to properly solve for p ?
F. 3p = 2p – 4
G. 3p – 4= 2p
H. 3(p – 4) = 2p
J. 4 - 3p = 2p
K. 4 – 3p = 2(p – 4)