Answer:
w=9
Step-by-step explanation:
first you wanna add 6 and -10 which gives you -4, after that you bring -4 over to 5 and change it to positive and it becomes 9, which gives you w=9
Soda is sold in aluminum cans that measure 4.83 inches in height and 2.6 inches in diameter. What is the volume? Use 3.14 for pi and round to the hundredths place.
Answer:
4.83*2.6=45
Step-by-step explanation:
The volume of the cylindrical soda can is 25.64 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, we need the diameter and the height of the cylinder.
The volume will be calculated as:-
V = ( π / 4 ) d²l
We have d = 2.56 inches and h = 4.83 inches
V = ( π / 4 ) x ( 2.56 )² x ( 4.83)
V = 25.64 cubic inches.
Hence, the volume is 25.64 cubic inches.
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Two ships leave port at the same time. ship A sails on a bearing of 054º for 50 km. Ship B sails on a bearing of 110º for 75 km. What is the distance between Ship A and ship B?
The distance between Ship A and Ship B is approximately 62.70 km.
Let's find the distance between Ship A and Ship B by using the cosine rule, which is stated as `c² = a² + b² - 2abcosC`.
Here, Ship A sails on a bearing of 054º for 50 km and Ship B sails on a bearing of 110º for 75 km.
We need to find the distance between the two ships.
To find the length of AB, we will create a triangle with lengths 50 km, 75 km, and an included angle of 56º, where 56º = 110º - 54º.
We will now use the Cosine rule to find the length of the third side.
To find the distance between Ship A and Ship B, we need to use the Cosine Rule with the following information:
AB² = OA² + OB² - 2 x OA x OB x Cos θAB² = (50²) + (75²) - 2 × 50 × 75 × Cos 56°AB² = 2500 + 5625 - 7500 x Cos 56°AB²
= 8125 - 7500 x 0.5592AB²
= 8125 - 4194.0000AB²
= 3931.0000AB
= 62.70 km (rounded to two decimal places).
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A system of linear equations is shown in the graph. How many solutions does the system have? a coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 2 and another line that passes through the points 0 comma negative 2 and 3 comma negative 3 One solution at (0, 3) One solution at (−6, 0) Infinitely many solutions No solution
The system of linear equations shown in the graph has no solution.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the coordinates of two lines,
line 1: line passes from (0, 3) and (3, 2)
and slope of the line is given by,
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 3)/(3 - 0)
m = -1/3
Line 2: line passes from (0, -2) and (3, -3)
slope = (y₂ - y₁)/(x₂ - x₁)
m = (-3 - (-2))/(3 - 0)
m = -1/3
since both, the lines have the same slope so both lines will be parallel,
If two lines are parallel, they will never intersect and so there is no solution to the given system of equations.
Hence lines will have no solution.
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b. if we want to get a 80% confidence interval with a small margin of error, say only 8%. how many people do you need to sample?
The number of people needed will be approx 65.
Margin of error = Critical value x Standard deviation for the population.
Margin of error = Critical value x Standard error of the sample.
Given, Margin of error (m) = 0.08
z (at 80% confidence level)=1.282
Sample size(n) = (z/m)^2 p (1-p)
In order to find the sample size, we must know the value of proportion.
The value of proportion is missing so, in the absence of proportion, we will consider it as 0.5.
p = 0.5
∴ Sample size = (z/m)^2 p (1-p)
= (1.282/0.08)^2 × 0.5 × (1-0.5)
= 65
Inferential statistics is a statistical method that deduces from a small but representative sample the characteristics of a bigger population. In other words, it allows the researcher to make assumptions about a wider group, using a smaller portion of that group as a guideline.
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Cindy's grandfather opened a savings account for her when she was bom. He
deposited one lump sum of money and never touched the account again. The
account had a 4% fixed simple interest rate. Cindy closed the account when
she tumed 18. At that time, the account had eamed $72 in interest. How much
did her grandfather originally deposit? (Use/prt)
O
A $100
B. $72.
C. $51.84
D. $40
Answer:
i believe the answer is c aka 51.84
Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Select all the expressions which represent the total number of tomato plants that Lauryn, Padma, and Kent grew.
p + (3p - 5) + (4p +6)
p + (5 - 3p) + (6 + 4p)
p + 11
8p + 1
7p - 1
PLEASE HELP!! IS MORE THAN ONE ANSWER!! WHOEVER GETS IT RIGHT GETS BRAINLYEST!!
Answer:
p + (3p - 5) + (4p +6) Correct
p + (5 - 3p) + (6 + 4p) Not Correct
p + 11 Not correct
8p + 1 Correct
7p - 1 Not correct
Step-by-step explanation:
p + (3p - 5) + (4p +6)
simplified = 8p +1
M and t intersects lines l an6d m.
Find the m angle 8.
A. 145
B. 35
C. 55
D. 75
Answer:
B. 35°
Step-by-step explanation:
m<4 = x + 20
m<8 = 2x + 5
✔️First, find the value of x:
m<4 = m<8 (corresponding angles are equal)
Substitute
x + 20 = 2x + 5
Collect like terms
x - 2x = -20 + 5
-x = -15
Divide both sides by -1
x = 15
✔️Find m<8:
m<8 = 2x + 5
Plug in the value of x
m<8 = 2(15) + 5
m<8 = 30 + 5
m<8 = 35°
if f(x)=7(x-1)+8 what is the value of f(11)
Answer:
78
Step-by-step explanation:
A technique is set at 20 mA, 100 ms and produces 300 mR intensity. Find the new time (ms) if the current is doubled and the intensity is constant
Using inverse square law, the time when the current is doubled and the intensity remains constant is 25ms
What is the new time when the current is doubled?To find the new time (in milliseconds) if the current is doubled and the intensity remains constant, we can use the concept of the Inverse Square Law in radiography.
According to the Inverse Square Law, the intensity of radiation is inversely proportional to the square of the distance or directly proportional to the square of the current. Therefore, if the current is doubled, the intensity will be quadrupled.
Given that the initial intensity is 300 mR (milliroentgens) and the current is doubled, the new intensity will be:
New Intensity = 4 * Initial Intensity = 4 * 300 mR = 1200 mR
Now, we need to find the new time required to produce this new intensity while keeping the intensity constant. Since the intensity is directly proportional to the square of the current, we can set up the following equation:
(New Current / Initial Current)² = (Initial Time / New Time)
Squaring both sides:
(2 / 1)² = (100 ms / New Time)
4 = 100 ms / New Time
Cross-multiplying:
4 * New Time = 100 ms
New Time = 100 ms / 4
New Time = 25 ms
Therefore, if the current is doubled and the intensity remains constant, the new time required would be 25 milliseconds.
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your basketball team is playing a series of 5 games against your opponent. the winner is those who wins more games (out of 5). let assume that your team is much more skilled and has 75% chances of winning. it means there is a 25% chance of losing. what is the probability of your team get 3 wins?
We can simply multiply the subsequent probabilities of losing each game. = 12.9%.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.According to our question-
we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5
* 3/5 * 3/5)
= 81/625
= .129 = 12.9%
Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.
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WILL GIVE BRAINLIST TO BEST ANSWER
State what additional information is required in order to know that the triangles are congruent for the reason given.
19-20
ΔTUV and ΔLMN are congruent by ASA
ΔVTK and ΔJKL are congreunt by ASA.
We have,
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
19)
ΔTUV and ΔLMN
∠T = ∠L (given)
TU = ML (side opposite to congruent angle)
∠U = ∠M ( given)
ΔTUV ≅ ΔLMN ( By ASA)
20)
ΔVTK and ΔJKL
∠T = ∠J ( given)
TK = JK ( side opposite to congruent angle )
∠VKT = ∠JKL (vertical angles )
ΔVTK ≅ ΔJKL (By ASA)
Thus,
ΔTUV and ΔLMN are congruent by ASA
ΔVTK and ΔJKL are congreunt by ASA.
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how many weekdays a year
There are 365 days in a year, but only 52 weeks in a year.
The number of weekdays in a year can be calculated using a simple formula. The formula is (365 - (52 x 2))/7. This means that there are an average of 365/7 = 52.14 weeks per year. Of those weeks, 5 of them contain 7 days each, for a total of 35 days. The remaining 17 days are spread out throughout the year and are known as weekdays. This means that there are a total of 365 - 35 = 330 weekdays in a year. This formula takes into account the two weekends, which are 52 Saturdays and Sundays, in a year and divides the remaining days by 7 to determine the weekdays (Monday-Friday). In a year, there are 261 weekdays. This can be further broken down into 52 weeks with 5 days each. To calculate the number of weekdays in any given year, the same formula can be applied. For instance, a 2021 year would be (365 - (52 x 2))/7 = 261 weekdays. This formula is useful in planning for the number of days available for work or school in a year.
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Type the correct answer in the box. Use numerals instead of words.
Find the sum of a finite geometric series.
At the beginning of every year, Molly deposits $200 in a savings account that offers an interest rate of 20%, compounded annually. The total
amount that Molly will have in her account at the end of 3 years is $
Answer:
$345.60
Step-by-step explanation:
From the above question,
P = Principal = $200
R = Interest rate = 20%
T = Time in years = 3 years
n = Number of times interest is compounded = Annually = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 20/100
r = 0.2 rate per year,
Then solve the equation for A
The formula =
A = P(1 + r/n)^nt
A = 200.00(1 + 0.2/1)^(1×3)
A = 200.00(1 + 0.2)^(3)
A = $345.60
Therefore, the total amount that Molly will have in her account at the end of 3 years is $345.60
If = 9/24 = 7/x, then x is .
Answer:
x = \(\frac{56}{3}\)
Step-by-step explanation:
Given
\(\frac{9}{24}\) = \(\frac{7}{x}\) ( cross- multiply )
9x = 168 ( divide both sides by 9 )
x = \(\frac{168}{9}\) = \(\frac{56}{3}\)
Answer:
x = 56/3
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 9/24 = 7/x
Then the value of x will be,
→ 9/24 = 7/x
→ 9 × x = 7 × 24
→ 9x = 168
→ x = 168/9
→ [ x = 56/3 ]
Hence, the value of x is 56/3.
a researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product. in a sample of 400 users of shampoo a taken by this researcher, 78 said they are satisfied. in another sample of 500 users of shampoo b taken by the same researcher, 92 said they were satisfied. construct a 90% confidence interval for the true difference between the two population proportions.
A researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product at a 90% confidence level,
the true difference between the proportion of users satisfied with shampoo A and shampoo B is estimated to be between -0.0262 and 0.0482.
To construct a 90% confidence interval for the true difference between the two population proportions, we can use the formula for the confidence interval for the difference between two proportions.
Let's denote the proportion of users satisfied with shampoo A as p1 and the proportion of users satisfied with shampoo B as p2.
The sample proportion for shampoo A, denoted as 1, is calculated by dividing the number of users satisfied in the sample of 400 (78) by the sample size (400):
1 = 78/400 = 0.195
The sample proportion for shampoo B, denoted as 2, is calculated by dividing the number of users satisfied in the sample of 500 (92) by the sample size (500):
2 = 92/500 = 0.184
Next, we calculate the standard error, which measures the variability of the difference between the two proportions:
SE = sqrt[(1 * (1 - 1) / n1) + (2 * (1 - 2) / n2)]
where n1 is the sample size for shampoo A (400) and n2 is the sample size for shampoo B (500).
SE = sqrt[(0.195 * (1 - 0.195) / 400) + (0.184 * (1 - 0.184) / 500)]
SE = sqrt[(0.152025 / 400) + (0.151856 / 500)]
SE ≈ 0.0226
Now, we can calculate the margin of error by multiplying the standard error by the critical value corresponding to a 90% confidence level. For a 90% confidence level, the critical value is approximately 1.645.
Margin of Error = 1.645 * 0.0226 ≈ 0.0372
Finally, we construct the confidence interval by subtracting and adding the margin of error from the difference in sample proportions:
Confidence Interval = (1 - 2) ± Margin of Error
Confidence Interval = (0.195 - 0.184) ± 0.0372
Confidence Interval = 0.011 ± 0.0372
Confidence Interval ≈ (-0.0262, 0.0482)
Therefore, at a 90% confidence level, the true difference between the proportion of users satisfied with shampoo A and shampoo B is estimated to be between -0.0262 and 0.0482.
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Write the number 10 000 000 as a power of 10.
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
Which resources provides an opportunity to evaluate your readiness for a major assessment?
A. Reflection
B. Teacher tutorial
C. Illustrated glossary
D. Virtual Geoboard
can someone help me, please????
Answer:
Dilation
Step-by-step explanation:
The original shape reduced to make a prime shape. It is a diliation because it's the same shape
Answer:
Step-by-step explanation:
the answer is the green one
which primal constraints are active at dual optimal solution when primal constraints are inequalities
When the primal problem has inequality constraints, the dual problem will have an optimal solution where some of the primal constraints are active.
Specifically, for each active primal constraint, there will be a corresponding dual variable that is positive (not zero). The active primal constraints are those that are satisfied with equality at the primal optimal solution.
In other words, if the primal problem has the form:
maximize c^T x
subject to Ax <= b
where x is the vector of primal variables, c is the vector of objective function coefficients, A is the matrix of constraint coefficients, and b is the vector of right-hand side values, then the dual problem has the form:
minimize b^T y
subject to A^T y >= c
y >= 0
where y is the vector of dual variables.
At the dual optimal solution, any dual variable that is positive corresponds to an active primal constraint. These are the constraints for which the corresponding primal variable is not at its upper or lower bound, but rather is taking on a value that satisfies the constraint with equality.
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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ
The measure of length PQ will be 22 units.
What is the mid-point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
The missing image is attached below.
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Solve the equation for v.
0.5v + 0.06 < 3.46
v > 1.8
v < 1.8
v > 6.8
v < 6.8
Answer:
\(\boxed{\tt v < 6.8}\)
Step-by-step explanation:
\(\tt 0.5v+0.06 < 3.46\)
Multiply both sides by 100:-
\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)
\(\tt 50v+6 < 346\)
Subtract 6 from both sides:-
\(\tt 50v < 340\)
Divide both sides by 50:-
\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)
\(\tt v < \cfrac{34}{5}\)
Or
\(\tt v < 6.8\)
Therefore, your answer is v < 6.8!!! :)
______________________
Hope this helps!
Have a great day!
Q 42 - The proportion of salary of An and B is 5:3 and that of their use is 9:5. On the off chance that they spare Rs. 2600 and Rs. 1800, then their livelihoods are: A-9000, 5400 B-10000, 6000 C-6000, 3600
Answer: Let's solve this problem step by step.
First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.
According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:
For An:
Income of An = Salary of An + Savings of An
Income of An = 5x + 2600
For B:
Income of B = Salary of B + Savings of B
Income of B = 3x + 1800
Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:
(Expenditure of An)/(Expenditure of B) = 9/5
Since expenditure is the complement of savings, we have:
[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5
Substituting the previously derived expressions for income, we get:
[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5
Simplifying the equation, we have:
5x / 3x = 9/5
Cross-multiplying, we get:
5 * 3x = 9 * 3x
15x = 27x
Subtracting 27x from both sides, we have:
0 = 12x
This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.
Which pairs of expressions below are equivalent? (Select all that apply)
5 + 3 − 2 and −2 + 8x
+ + + and 2( + )
4 − 5 and 5 − 4x
6 − 8 and 3(2 − 4)
5(2 − 3) and 10 − 3y
The pairs of expressions that are equivalent are:
5 + 3 - 2 and -2 + 8x
5(2 - 3) and 10 - 3y
5 + 3 - 2 simplifies to -4, and -2 + 8x can be simplified to -2(1 - 4x), which is equivalent.
5(2 - 3) simplifies to -5, and 10 - 3y can be simplified to -3(y - 10/3), which is also equivalent.
is equivalent to 2( + ), but neither of them is equivalent to any of the other expressions.
4 - 5 and 5 - 4x are not equivalent. They have the same terms, but the order of the terms and the coefficients are different.
6 - 8 is equivalent to -2, but 3(2 - 4) simplifies to -6, so they are not equivalent.
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brainliest, 100 points, and its multiple choice!!!!
Answer:
Answer is C
(-2,3)
Step-by-step explanation:
Answer:
(-8, 18)
Step-by-step explanation:
To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.
One way to do this is to multiply the second equation by a constant that will make the coefficient of x the same as in the first equation. In this case, we can multiply the second equation by -5, which will give us:
-15x - 10y = -60
Now we can add this equation to the first equation:
5x + 2y = -4
-15x - 10y = -60
-10x - 8y = -64
Dividing both sides by -2, we get:
5x + 4y = 32
Now we have one equation with only x and y, so we can solve for either variable.
Let's solve for y by subtracting 5x from both sides:
5x + 4y = 32
-5x = -5x
4y = 32 - 5x
Dividing both sides by 4, we get:
y = (32 - 5x) / 4
Now we can substitute this expression for y into one of the original equations to solve for x. Let's use the first equation:
5x + 2y = -4
5x + 2[(32 - 5x) / 4] = -4
Multiplying both sides by 4, we get:
20x + 2(32 - 5x) = -16
Simplifying, we get:
20x + 64 - 10x = -16
10x = -80
x = -8
Now we can substitute this value of x into either of the equations to solve for y. Let's use the first equation again:
5x + 2y = -4
5(-8) + 2y = -4
-40 + 2y = -4
2y = 36
y = 18
Therefore, the solution to the system of equations is (x, y) = (-8, 18).
(MARK BRAINLIST)
ANYONE KNOWS ANY CHINESE DRAMA PLEASE TELL ME SOME DRAMAS
THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Spirit Realm
Hello, My Shining Love
Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.(6,6)
The polar coordinates of the point (6, 6) are approximately (8.49, 0.79) in radians.
To convert the point (6, 6) from Cartesian to polar coordinates, we can use the formulas:
r = √(x² + y²)
θ = arctan(y/x)
Given that the point is (6, 6), we can substitute the values into the formulas to find the polar coordinates.
r = √(6² + 6²) = √(36 + 36) = √72 ≈ 8.49
θ = arctan(6/6) = arctan(1) = π/4 ≈ 0.79 (radians)
In polar coordinates, the value of r represents the distance from the origin (0, 0) to the point, and the value of θ represents the angle (measured in radians) between the positive x-axis and the line connecting the origin to the point. The angle θ is usually measured counterclockwise from the positive x-axis.
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Complete question is:
Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.
(6,6)
5) Explain in your own words what is meant by the son of a mention Include a practical example of a differential equation used to model wito your specific engineering course நmata) b) Solve the following first order differential equation using the integrating factor method. dy cos(t) + sin(t) y = 3cos (t) sin(t) - 2 dx [10 marks) c) Explain the following MATLAB code shown and sketch the output plot from program 19 marks) 01 t=0 02 while t<10 03 if (t<5) 04 y=3*(1-exp(-)): 05 else if (t>=5) 06 y=3*exp(-t+5); 07 end 08 end 09 t = t + 0.05 10 pause (0.002) + Figure Q4 Q4 Total
The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.
The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.
The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.
01 t=0 02 while t<10 03
if
(t<5) 04 y=3*(1-exp(-t)); 05 else if
(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09
t = t + 0.05 10 pauses (0.002)
The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.
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compare the end behavior of the functions g(x) = -3x^4 + 15x^3 - 12x^2 + 3x + 20 and h(x) = "-3x^4" - 16x - 1. Explain your reasoning.
The end behavior of the functions g(x) and h(x) are the same and both functions approach negative infinity as x becomes large in either direction.
What is end behavior?Generally, The end behavior of a function refers to the behavior of the function as x approaches positive or negative infinity. To compare the end behavior of g(x) and h(x), we can look at the leading term of each function, which is the term with the highest degree.
In the function g(x) = -3x^4 + 15x^3 - 12x^2 + 3x + 20, the leading term is -3x^4, so as x approaches positive or negative infinity, the function will approach negative infinity.
In the function h(x) = -3x^4 - 16x - 1, the leading term is also -3x^4, so as x approaches positive or negative infinity, the function will also approach negative infinity.
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what is 9x187647x27489x638927
Answer:
2.9661582
Step-by-step explanation:
2.9661582e+16 this is the answer
Which of the following is the equation that represents the graph?
Y = - 3/2x-3
Y=-3/2x-2
Y=-2/3 X -3
Y= -2/3 X -2
By looking at the graph we can see that the line crosses the y-axis at y=-2
Which of the following is the equation that represents the graph?Y-intercept(b) =-2
If we move from left to right along the x-axis we can see that for every 3 units to the right, we go up 2 units:
slope = (m) = rise / run = 2/3
step1:
the equation in slope-intercept form:
y=m x+ b
y= 2/3x-2
Standard form
I cannot be.
ii = is in standard form
2x - 3y = 6
Solve for y:
Step2:
-3y= -2x+6
y= (-2x+6)/-3
y= 2/3x-2
II is represented in the graph.
III. Cannot be
IV. y-2= 2/3(x-6)
step3:
Solve for y:
y-2 = 2/3x-4
y= 2/3x-4+2
y=2/3x-2
IV is represented in the graph
Correct option D. II and IV
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