Answer:
7x^{4} - 56x^{3} + 35x^{2} + 28x - 42
Step-by-step explanation:
I hope is still help.
Terry’s age is 3 less than three times Cody’s age. The sum of their ages is 57. How
old are Terry and Cody?
Answer:
let Cedric's age be c
tyshon= 3c-3
3c-3 +c =3c+c-3 = 4c-3
4c-3=57
4c=60
c=15
tyshon=15×3-3 = 42
Answer:
16
Step-by-step explanation:
57dvied by 3 -3=16
What is 3x+7y=11 equal to
(6,-1)
(1,-2)
(0,4)
The given equation 3x + 7y = 11 is equal to (1,-2).
The given equation is 3x + 7y = 11.
To find the solution of the equation, we need to consider the given options:
(6,-1)(1,-2)(0,4)
Now substitute each value of x and y in the given equation, we get,
If x = 6 and y = -13(3 × 6) + (7 × -1) = 18 - 7 = 11 ≠ 11
If x = 1 and y = -2(3 × 1) + (7 × -2) = 3 - 14 = -11 ≠ 11
If x = 0 and y = 4(3 × 0) + (7 × 4) = 0 + 28 = 28 ≠ 11
Therefore, the given equation 3x + 7y = 11 is equal to (1,-2).
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as a manager, when faced with ethical crises you shouldmultiple choice a. focus on issues most relevant to stockholders only. b. wait for the other party to make the first move. c. take the initiative to address the problem.d. cover up as much as possible.
As a manager, when faced with ethical crises in time, you should:
C. Take the initiative to address the problem.
As a manager, when faced with ethical crises in time, you should take the initiative to address the problem.
It is important to consider the impact on multiple stakeholders, including employees, customers, and the community. Ignoring the issue or attempting to cover it up can lead to further complications and damage to the company's reputation.
It is important to address the issue head-on and take appropriate actions to prevent similar situations from occurring in the future.
This approach ensures that you proactively identify and resolve ethical issues in a timely and responsible manner, rather than focusing only on stockholders, waiting for others to act, or attempting to cover up the situation.
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Can some one help please
Answer:
204
Step-by-step explanation:
separate into 2 squares/rectangles
13×12(because 20-8 since you cut it in half)
8×6
156+48=204
Given the domain (-5,-1,3,5) find the first number in the range of the function f(x)=-2x -3 .
The first number in the range of the function is 7
What is the range of a function?The range of a function is the set of output values of the graph.
This in other words mean the range of a function is the set of y values of the graph.
How to determine the range of the function?The function is given as
f(x) = -2x - 3
Also, we have the domain to be
(-5,-1,3,5)
The first value in this domain is
x = -5
So, we have
f(-5) = -2 x -5 - 3
Evaluate
f(-5) = 7
This represents the first number in the range
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What part of the expression has a quotient: 5.3t-(20/4)+11
Answer:
(20/4)
Step-by-step explanation:
The term "quotient" implies division, which is present in the (20/4) part of the expression.
What are some equations that are equalivant to 3p(p+2
In order to investigate treatments for morbid obesity, obese subjects satisfying fairly strict requirements were randomly assigned to one of three groups: gastric bypass surgery; participation in a diet and exercise program; or both gastric bypass surgery and participation in the diet and exercise program. Researchers carefully observed the amount of weight lost five years after the study began. Reference: Ref 9-1 This study uses the principles of A. randomization. B. confounding. C. blocking. D. All of the above Which of the following are principles of experimental design?
A. randomization B. replication C. blinding D. All of the above
Since all three principles of experimental design are likely to have been used in the study described, Therefore option D is correct.
All of the above are principles of experimental design. Randomization helps to ensure that groups are similar in all aspects except for the treatment received, reducing the effects of confounding variables. Replication allows for assessing the variability and consistency of results. Blinding reduces the risk of bias by preventing participants or researchers from knowing which treatment was received. The study described in the question uses all of these principles of experimental design.
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tallest living man at one time had the height of 237 cm is shortest living man at that time had the height of 139.5 cm height of men at that time had a mean of 177.71 cm and a standard deviation of 6.03 cm which of these two men had the height that was more extreme
Based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
The question asks which of the two men, the tallest living man or the shortest living man at that time, had a height that was more extreme.
To determine this, we need to compare their heights to the mean and standard deviation of men's heights at that time.
The mean height of men at that time was 177.71 cm, and the standard deviation was 6.03 cm.
The tallest living man had a height of 237 cm, which is 59.29 cm above the mean (237 - 177.71 = 59.29).
The shortest living man had a height of 139.5 cm, which is 38.21 cm below the mean (177.71 - 139.5 = 38.21).
To determine which height is more extreme, we can compare the distance from each height to the mean.
The distance from the tallest man's height to the mean is 59.29 cm, while the distance from the shortest man's height to the mean is 38.21 cm.
Since the distance from the tallest man's height to the mean is greater than the distance from the shortest man's height to the mean, we can conclude that the tallest living man had the height that was more extreme.
In summary, based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
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Jane drew a point that was 2 units to the right of the y-axis and 5 units above the x-axis. What is the ordered pair for this location?
The ordered pair for this location is (_,_ ).
Answer:
(-2,5)
Step-by-step explanation:
because 2 units to left of the y axis makes it a negative and it makes it on the z axis so you get negative 2 then 5 units above the x axis gets just 5 so that's how you get (-2,5)
Emily and john will be hiking for 42 hours. Hikers should drink at 2. 7 cups of water for every 2 hours of hiking. How many cups of water should emily and john drink?
From the given information provided, emily and john should drink 56.7 cups of water for 42 hours hiking.
If hikers should drink 2.7 cups of water for every 2 hours of hiking, then we can use a proportion to find how much water Emily and John should drink over their 42-hour hike:
2.7 cups / 2 hours = x cups / 42 hours
To solve for x, we can cross-multiply:
2.7 cups × 42 hours = 2 hours × x cups
113.4 cups = 2x
Finally, we can divide both sides of the equation by 2 to solve for x:
x = 56.7 cups
Therefore, Emily and John should drink a total of 56.7 cups of water during their 42-hour hike.
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in modeling the number of claims filed by an individual under an automobile policy during a three-year period, an actuary makes the simplifying assumption that for all integers , where represents the probability that the policyholder files claims during the period. under this assumption, what is the probability that a policyholder files more than one claim during the period?
This expression represents the probability of a policyholder filing more than one claim during the three-year period under the given assumption.
Given that P(n) represents the probability that the policyholder files n claims during the three-year period, we want to find the probability that a policyholder files more than one claim. In other words, we need to calculate the probability of a policyholder filing 2 or more claims.
Since probabilities of all possible outcomes must sum up to 1, we can write:
P(0) + P(1) + P(2) + P(3) + ... = 1
We are looking for the probability of filing more than one claim, which can be written as:
P(2) + P(3) + P(4) + ...
We can calculate this by subtracting the probabilities of filing 0 or 1 claim from the total probability (1):
Probability of filing more than one claim = 1 - P(0) - P(1)
Since the problem doesn't provide specific values for P(0) and P(1), the final answer is:
Probability of filing more than one claim = 1 - P(0) - P(1)
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Angles p and q are complementary. p is four times the size of q. what is the size of q.
Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.
To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.
Substituting 4q for p, we get:
4q + q = 90
Combining like terms:
5q = 90
To solve for q, we divide both sides of the equation by 5:
q = 90/5
Simplifying:
q = 18
Therefore, the size of angle q is 18 degrees.
when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.
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Evaluate: 50 + 6(12 + 4) – 82.
Answer:
14
Step-by-step explanation:
Follow DMAS formula:
DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction.
=50+6*3 -82
=50+18-82
=68-82
=14
Answer:
64
Step-by-step explanation:
PEMDAS
6(12+4) distribute the 6 to the numbers inside
96
50+96-82
50+96= 146
146-82 = 64
Round each decimal to the nearest hundredth
7.47.8932
8. 4.5555
9. 72.1189
Plz help by 10 mins
Answer:
7.5
0.9
8.0
4.56
9.7
2.12
HELP PLEASE == PGR is an isosceles triangle in which PQ=PR
M and N are points on PQ and PR such that angle MRQ and angle NQR.
Prove that triangles QNR and RMQ are congruent
Answer:
Angle NQR congruent to Angle MRQ because it is given
Side QR is congruent to side QR because they are the same side
Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle
Triangle QNR is congruent to Triangle RMQ by ASA
Step-by-step explanation:
It's actually pretty simple. first you should be able to know angles NRQ and MQR are congruent because triangle PQR is isosceles . So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent. So now you can say the two triangles are similar by the angle angle postulate.
To Say they are congruent since QR is the same for both triangles you can use the ASA postulate
the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. a baby is premature if it is born three weeks early. what percent of babies are born prematurely?
8.08 percent of babies are born prematurely .
We have following information,
lengths of pregnancy of humans are Normally distributed.
mean of distribution ( μ ) = 268 days
standard deviations of distribution = 15 days
We shall find out the pecent of babies are born. prematurely.
Using the Normal distribution formula ,
Z = ( X - μ ) /σ
where X---> sample mean
μ --> poplution mean
putting the possble values of variables we get,
if a baby born three weaks early then he is considered as premature.
X = 21 , μ = 268 , r =
Z = ( 21-268)/ 15 = - 247/15 = - 16.4
Now, p-value corresponding to Z-value= -16.4 is
8.08..
thus for z= -16.4 , p-value will be 8.08 .. So, 8.08 percent of babies are born prematurely.
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What is the formula for sin and cos?
The formula for sin and cos are opposite side/hypotenuse and adjacent side/hypotenuse respectively.
Sin and Cos formulae are based on the sides of the right-angled triangle. Along with the tan function, the fundamental trigonometric functions in trigonometry are sin and cos. In contrast to the cosine of an angle, which corresponds to the ratio of the adjacent side to the hypotenuse, the sine of an angle is the ratio of the opposing side to the hypotenuse.
Sine of an angle θ = opposite side/hypotenuse
Cosine of an angle θ = adjacent side/hypotenuse
The figure given in the attachment is a right angled triangle which shows opposite side, adjacent side and hypotenuse side with an angle θ which is specified.
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find the area of the surface formed by revolving the polar equation over the given interval about the given line. polar equation: r = 2 cos θ
interval: 0 ≤ θ ≤ π/2 axis of revolution: polar axis
The area of the surface formed by revolving the polar equation r = 2 cos θ over the interval 0 ≤ θ ≤ π/2 about the polar axis is 2π.
To find the area, we first need to express the polar equation in terms of Cartesian coordinates.
Using the formula x = r cos θ and y = r sin θ, we get x = 2cosθ cosθ and y = 2cosθ sinθ.
Next, we find the partial derivatives of x and y with respect to θ, which are -2sinθcosθ and 2cos²θ - 2sin²θ, respectively.
Using the formula for the surface area of a surface of revolution, which is given by A = ∫2πf(θ)√[r² + (f'(θ))²]dθ, we
substitute the values we have obtained into the formula to get A = ∫0^π/2 2π|sinθ|√[4cos²θ]dθ.
Simplifying this expression and integrating, we get A = 2π. Therefore, the area of the surface formed by revolving the polar equation r = 2 cos θ over the interval 0 ≤ θ ≤ π/2 about the polar axis is 2π.
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Find the value of x and y
Answer:
Answer: x = 33, y = 81..........
You can see that the two lateral and vertical sides of the quadrilateral are congruent respectively, meaning that ∠3x = ∠(2x+33).
You also know that 3x + y = 180° since they're supplementary.
To solve for x, just solve the equation I wrote above:
3x = (2x+33) (subtract 2x from both sides, and that automatically gives you
x = 33 the value)
To solve for y, plug it into the second equation I provided:
3(33) + y = 180
99 + y = 180
y = 81
∴ x = 33, y = 81
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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Find the value of x in
2(x+1)=10
Answer:
4
Step-by-step explanation:
2(x+1)=10
2x + 2 = 10
2x =10-2
x= 8÷2
x= 4
Remember that
change of side = change of sign!!!
Albert wrote a total of 5 pages of his essay in 2 hours. How many hours will Albert need to complete a 12 page paper?
Answer:
Step-by-step explanation:
…
Amy has 18 coins consisting of nickels, dimes, and quarters. She has the same amount of nickels as quarters. How many of each coin does she have if the value of the coins is $2.20?
a 1 nickel, 16 dimes, 1 quarter
b 3 nickels, 12 dimes, 3 quarters
c 4 nickels, 10 dimes, 4 quarters
d 6 nickels, 4 dimes, 6 quarters
The correct option regarding the amount of coins is given as follows:
c 4 nickels, 10 dimes, 4 quarters
How to obtain the amounts?The amounts are obtained by a system of equations, for which the variables are given as follows:
Variable x: number of nickels.Variable y: number of dimes.Variable z: number of quarters.Amy has 18 coins consisting of nickels, dimes, and quarters, hence:
x + y + z = 18.
She has the same amount of nickels as quarters, hence:
x = z.
Thus:
2x + y = 18
y = 18 - 2x.
She has a total of $2.20 worth of coins, hence:
0.05x + 0.1y + 0.25z = 2.2
0.3x + 0.1y = 2.2
Since y = 18 - 2x, the value of x is obtained as follows:
0.3x + 0.1(18 - 2x) = 2.2
0.1x = 0.4
x = 0.4/0.1
x = 4.
Hence the remaining values are given as follows:
y = 18 - 2x = 18 - 8 = 10.z = x = 4.Meaning that option c is correct.
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help pls!!!!!!!!!!!!!!
The quadratic function with the given features is defined as follows:
y = 0.86x² - 5.86x + 5.
How to define a quadratic function?The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
When x = 0, y = 5, hence the coefficient c is given as follows:
c = 5.
Hence:
y = ax² + bx + 5.
When x = 1, y = 0, hence:
a + b + 5 = 0
a + b = -5.
The discriminant is given as follows:
D = b² - 4ac.
Hence:
D = b² - 20a
The minimum value is of -4, hence:
-D/4a = -5
(b² - 20a)/4a = -5
b² - 20a = 20a
b² = 40a
Since a = -5 - b, we have that the value of b is obtained as follows:
b² = 40(-5 - b)
b² + 40b + 200 = 0.
b = -5.86.
Hence the value of a is of:
a = -5 + 5.86
a = 0.86.
Then the equation is:
y = 0.86x² - 5.86x + 5.
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Do all rational and irrational numbers have decimal expansions?
Yes, all rational and irrational numbers have decimal expansions. Rational numbers can be expressed as terminating or repeating decimals, while irrational numbers have non-repeating, non-terminating decimal expansions.
In decimal form, rational numbers have a finite or repeating pattern of digits after the decimal point, while irrational numbers have an infinite, non-repeating pattern of digits after the decimal point. For example, the rational number 1/4 is expressed as 0.25, while the irrational number pi is expressed as 3.14159265358979323846... where the decimal goes on infinitely without repeating. In conclusion, every real number can be represented in decimal form, either as a terminating or repeating decimal, or as a non-repeating, non-terminating decimal.
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Valores y anti valores del cuento dile que no me maten de Juan Rulfo
Answer:
Valores: Amor
Antivalores: Miedo, rencor y la preferencia
Step-by-step explanation:
hola!
SPECIFIC QUESTION:
Solve this USING matrices.
- Show finding the determinant
- Show/explain finding the inverse matrix
- Show multiplying matrices
- Correct Answer
The question is in the image below.
Answer: (-4, 3)
x = -4
y = 3
Step-by-step explanation: please see attached image
Simplify, dont have to show work
3c-10c
Im not 100% sure what youre asking but if the value for C isnt given then it would be -7c because 3-10 is -7
(if theres a value for C can you let me know I can solve the actual thing it it would help more just lmk :)
Answer:
-7c
Step-by-step explanation:
your welcomeeeeeeeeee
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number of hours of daylight varies sinusoidal over a period of twelve months. Sketch a graph to model the hours of daylight and write a sine equation to model the hours of daylight using the information above and a phase shift of pi/2.
The equation is given as
\(y = 12 sin (6t - \pi /2) + 2\)
The AmplitudeThe Amplitude can be calculated as
\(amplitude = \frac{max + min}{2}\\ amplitude = \frac{10+14}{2} = 12\)
The Vertical ShiftThe vertical shift is the average difference between the maximum and minimum.
\(Vertical Shift = \frac{Max - Min}{2} = \frac{14-10}{2} = 2\)
For b value
The Time Period will be twice the distance between max and min.
\(time period = \frac{2\pi }{b} \\time period = 2 * distance between max and min\\b = \frac{2\pi }{2}*\frac{1}{b} = \frac{\pi }{6}\)
The PeriodThe period is calculated as
\(T = \frac{2\pi }{b} \\T = \frac{2\pi }{\frac{\pi }{b} } = 12\)
The equation is given as
\(y = 12 sin (6t - \pi /2) + 2\)
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