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Step-by-step explanation:
please mark me as brainlest bro
Related Questions
(1 point) find the function g(x) satisfying the two conditions: 1. g′(x)=−512−x3 2. the maximum value of g(x) is 3.
Answers
The function g(x) that satisfies the given conditions is \(g(x) = -256 - x^4 + 3x.\)It has a derivative of \(g'(x) = -512 - x^3\) and its maximum value is 3.
To find the function g(x) that satisfies the given conditions, we start by integrating the derivative \(g'(x) = -512 - x^3.\) The integral of -512 gives -512x, and the integral of \(-x^3\) gives\(-(1/4)x^4\). Adding these terms together, we have the general antiderivative of g(x) as \(-512x - (1/4)x^4 + C\), where C is a constant of integration.
Next, we apply the condition that the maximum value of g(x) is 3. To find this maximum value, we take the derivative of g(x) and set it equal to 0, since the maximum occurs at a critical point. Taking the derivative of g(x) = \(-512x - (1/4)x^4 + C\), we get g'(x) = \(-512 - x^3\).
Setting g'(x) = \(-512 - x^3 = 0\), we solve for x to find the critical point. By solving this equation, we find x = -8. Substituting this value back into g(x), we have g(-8) =\(-256 - (-8)^4 + 3(-8) = 3\). Thus, the function g(x) = \(-256 - x^4 + 3x\) satisfies the given conditions, with a derivative of g'(x) = -\(512 - x^3\) and a maximum value of 3.
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The polynomial of degree 5, P(x) ha leading coefficient 1, ha root of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−5
Find a poible formula for P(x). P(x)=
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The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).
What is a polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.
The polynomial of degree 5.
Each root corresponds to a linear factor, so we can write:
\(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)
Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).
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a sequence is defined by f(0)=-4, f(n)=f(n-1)-2 for n>1. write a definition for the nth term.
Answers
Using an arithmetic sequence, the formula for the nth term is given by:
\(a_n = -2 - 2n, n \geq 1\)
-------------------------------
In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference d.The nth term is given by:\(a_n = a_1 + (n-1)d\)
In which \(a_1\) is the first term.In the recursive sequence, we have that:
\(f(0) = -4\)
\(f(n) = f(n-1) - 2\)
Then
\(f(1) = f(0) - 2 = -4 - 2 = -6\)
\(f(2) = f(1) - 2 = -6 - 2 = -8\)
And so on...
The sequence is: {-4, -6, -8,...}
Which is an arithmetic sequence with \(a_1 = -4\) and \(d = -2\), thus, the definition for the nth term is:
\(a_n = a_1 + (n-1)d\)
\(a_n = -4 - 2(n-1)\)
\(a_n = -4 - 2n + 2\)
\(a_n = -2 - 2n, n \geq 1\)
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YOULL BE MADE BRAINLIEST IF YOU ANSWER CORRECTLY
Solve the proportion.
15/8=45/c
c=
Answers
Answer:
c=24
Step-by-step explanation:
15/8=45/c
15*c=45*8
15c/15=360/15
c=24
Jesse spends 12 of his pocket money on Monday.
On Tuesday, he spends 23 of what is left.
On Wednesday, he spends 14 of what remains.
What fraction of the pocket money does he have left? Choose the most reasonable answer.
Answers
Answer: He might have 1$ or 51 $ because he spent 49$ and he could have 50$ as his pocket money or he could have 100$ as his pocket money and had 51$ left
Step-by-step explanation: Hope this helps :)
Consider 6.0 kg of austenite containing 0.45 wt%C and cooled to less than 72 °C.
What is the proeutectoid phase?
How many kilograms each of total ferrite and cementite form?
How many kilograms each of pearlite and the proeutectoid phase form?
Schematically sketch and label the resulting microstructure.
Answers
The proeutectoid phase is ferrite. Ferrite is a solid solution of carbon in BCC iron and is the purest form of iron. Ferrite is the most common form of pure iron. Ferrite is formed when austenite is cooled to below 910°C (1675°F), and is the most stable form of iron at normal room temperature.
Calculation of ferrite and cementite: We have to find the mass percentage of Fe3C, which is the eutectoid composition. The eutectoid composition is 0.77 percent carbon, which is obtained by adding 100 and 4.3 (i.e., percentage carbon of austenite) and dividing by 100. We are given the percentage carbon of the austenite (i.e., 0.45 wt%) but must find the percentage of the ferrite and cementite that forms from the austenite. In the case of the austenite, the percentage of carbon is less than 0.77 percent, so the proeutectoid phase will be ferrite, with the remaining portion of the austenite transforming to pearlite. Using the lever rule, we can determine the weight fractions of the two phases: weight % ferrite= (0.77−0.45)/(0.77−0.022)=0.463=46.3% weight % pearlite=1−0.463=0.537=53.7%Next, using Equation, we calculate the amount of each phase that forms, based on the weight fractions calculated above. wt ferrite=(46.3/100)×6=2.778 kg wt pearlite=(53.7/100)×6=3.222 kg. Finally, since the percentage of carbon in the austenite is less than 0.77 percent, we know that the proeutectoid phase will be ferrite, with the remaining portion of the austenite transforming to pearlite. Therefore, the amount of proeutectoid phase present is 0.
The proeutectoid phase is ferrite. The amount of ferrite and pearlite that forms is 2.778 kg and 3.222 kg, respectively. The amount of proeutectoid phase present is 0. The microstructure schematic and labeling are given below: In this image, you can see the microstructure that has resulted.
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Hailey is the oldest of four siblings whose ages are consecutive integers. If the sum of their ages is 66, find Hailey's age.
Answers
Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Hailey's ageBeing "x" the age of the youngest child, then you have:
"x" the age of the youngest child."x + 1" the age of one middle child."x + 2" the age of the other middle child."x + 3" the age of the oldest child, in this case Hailey's age.On the other hand, you know that the sum of their ages is 66. Then, the equation is:
x + x + 1 + x + 2 + x + 3 = 66
Solving:
4x + 6 = 66
4x = 66 - 6
4x = 60
x= 60 ÷ 4
x= 15
Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18
Finally, Hailey's age is 18 years.
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7
3
×
√
7
as a single power of 7
Answers
Answer:
See the steps belowStep-by-step explanation:
\(7^3*\sqrt{7} =\)\(7^3*7^{1/2}=\)\(7^{3+1/2}=\)\(7^{3.5}\)What is the solution set for |x+3|=5?
S=-9 and 5=8
S=-2 and S=2
S=-8 and 5= 2
S= 2 and 5=8
o
Answers
Answer:
x = -8 and x = 2
Step-by-step explanation:
The given equation resolves into two:
x + 3 = 5-(x +3) = 5The solution to the first can be found by subtracting 3:
x = 2
The solution to the second can be found by multiplying by -1, then subtracting 3.
x +3 = -5
x = -8
The solution set is {-8, 2}.
Simplified awnser
1/2 a2 - 3 x b + 2c
Answers
The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.
What is an Algebraic Equation?Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.
The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.
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10=95/2+4^2x
Please show step by step, I am having trouble with logarithms.
Answers
Answer:
x = \(-\frac{75}{32}\)
Step-by-step explanation:
10 = \(\frac{95}{2}\) + \(4^{2}\) * x
10 = \(\frac{5 * 19 }{2}\) + (\(2^{2}\))²x
10 = \(\frac{5 * 19 }{2}\) + \(2^{2*2}\) * x
x = \(-\frac{75}{32}\)
evaluate the following. give your answers as exact fractions. 2 x2−4 dx −2 = 2 x2−4 dx −2 =
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After evaluating the given equation ∫(x²-4)dx, we get -32/3.
Integration is the process of finding the area of the region under the curve. This is done by drawing as many small rectangles covering up the area and summing up their areas. The sum approaches a limit that is equal to the region under the curve of a function. Integration is the process of finding the antiderivative of a function. If a function is integrable and if its integral over the domain is finite, with the limits specified, then it is the definite integration. If F(x) is a particular anti-derivative of f(x) on an interval I, then every anti-derivative of f(x) on I is given by ∫ f(x) dx = F(x) + C.
Here, ∫ f(x) dx represents the whole class of integral.
C is the arbitrary constant, and all the antiderivatives of f(x) on I can be obtained by assigning a particular value to C.
Here f(x) is the integrand,
The variable x in dx is called the integrator and the whole process of finding the integral is called the integration. The ∫ sign stands for the sum.
The given equation is:
∫(x²-4)dx for interval (-2,2).
Integrate the above equation, we get
∫(x²-4)dx = x³/3 -4x +c
Now, solving this for the interval (-2,2), we get
= (2³/3 - 4×2) - ((-2)³/3 - 4×-2)
= (8/3)-8 + 8/3 - 8 = -32/3
Thus, after evaluating the given equation ∫(x²-4)dx, we get -32/3.
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In triangle ABC, the measure of angle A equals 45 degrees and the measure of angle C equals 75 degrees. What is the measure of angle B?
Answers
help asap fot brainlist help asap
Answers
This is the wander because the open circle would be greater than and the close circle would be greater than or equal to
is the following graph a function?
A. yes
B. no
Answers
Answer:
Yes
Step-by-step explanation:
You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.
Give the domain and range of the relationship. List items from least to greatest. Do not include duplicates. Determine whether or not the relationship is a function.
Answers
Answer:
Domain: {7, 8, 9} Range: {2, 3, 4, 5}
Step-by-step explanation:
This relationship is not a function because one input (7) gave two different outputs (2 and 4)
A number is being multiplied by a power of 10. Find the number.
Enter your answers in the boxes.
___________ × 102 = 700
___________ × 103 = 36,000
___________ × 105 = 400,000
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Answer:
When you have the base of 10 and an exponential index of “n”, the powers of 10 says that the resulting number will be 1 followed by “n” number of zeros. So for example, 10 to the 7th represents the same thing as 1 followed by 7 zeros. The result is 10,000,000 (10 million). Multiplying whole numbers by a power of ten would mean that you ...
A significance test about a proportion is conducted using a significance level of 0.05. The sample statistic is 0.12. The p-value is 0.03? a) If H0 were true, for what probability of a Type I error was the test designed?
b) What conclusion (reject or fail to reject) would you make for this test?
c) If this test resulted in a decision error, what type of error was it?
Answers
Answer: 28282
Step-by-step explanation:
I think
Expand. If necessary, combine like terms. (5x-6)^2=
Answers
Answer:
25x²-60x+36
Step-by-step explanation:
(5x-6)²
Expand the brackets.
(5x-6)(5x-6)
5x(5x-6)-6(5x-6)
Multiply.
25x²-30x-30x+36
Add or subtract the like terms.
25x²-60x+36
Perfect squares trinomials are those expressions which are found by squaring binomial expressions. The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
What are perfect squares trinomials?Perfect squares trinomials are those expressions which are found by squaring binomial expressions. A few examples of perfect squares trinomials are,
a² + b² + 2ab = (a + b)²
a² + b² - 2ab = (a - b)²
The expansion of the given binomial expression, (5x - 6)² can be done as,
(5x - 6)²
= (5x)² + 6² - 2(5x)(6)
= 25x² + 36 - 60x
Hence, The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
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15. A door wedge is shaped like a triangular prism. The wedge is filled with sand. How
many cubic centimeters of sand is needed to fill the door wedge?
Answers
Answer:362
Step-by-step explanation:
You need to multiply
Answer:
126
Step-by-step explanation:
you add them all up and the sides that don't have the number there's already info about it it's like this
18 x 3 + 30 + 24 + 18 = 126
and you don't know how to do 18 x 3 lol it's 54
How do I solve this question ?
Answers
Step-by-step explanation:
here you go!
so basically x = 9 cars
What is the slope of the line that passes through the points (4, 7) and (5,8)? Write your answer in simplest form.
Answers
what grade is this and what are the answers i need them to help
Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.
Answers
Two steps that will complete the list correctly are:
4. The original measurement should be multiplied by the conversion factors.
5. Verify that it makes sense.
What is meant by conversion factor?A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.
Let's use an example of converting from inches to centimeters to address this query.
10 inches should be converted to cm.
The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.To know more about units, visit:
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Determine if 0.7653765376537653 is rational or irrational and give a reason for your answer.
Answers
Answer:Yes it is a rational number
Step-by-step explanation: Because any number that repeats is rational <!>Brainiest Appreciated<!>
How do you solve the equation 2x+3y=6?
Which ordered pairs are solutions to the equation 2x+3y=6?
Answers
The ordered pairs that are solutions to the equation 2x + 3y = 6 include the following:
Ordered pair (0, 2).Ordered pair (3, 0).What is an ordered pair?In Mathematics, an ordered pair can be defined as a pair of two elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate and the y-coordinate on the coordinate plane of any graph.
How to find an ordered pair that is a solution to the equation?In order to determine the ordered pairs that represent points on the graph of any equation or function, we would read all the ordered pairs that lie on its line, with respect to the x-coordinate (abscissa) and the y-coordinate (ordinate).
By critically observing the graph of the given equation 2x + 3y = 6, the required solutions include following;
Ordered pair = (0, 2).Ordered pair = (3, 0).Read more on ordered pair here: brainly.com/question/25462418
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I don't get it an I have a test in an hour!
Answers
Answer: expression 3
Step-by-step explanation:
Answer: Expression #2 is correct
Step-by-step explanation:
The problem gives you the values of x and y you just have to work the problem.
Expression 2 shows x + y x 7
So basically take the value of x (3) and y (5) and add them together
3 + 5 = 8
then take the product and multiply it by 7
8 x 7 = 56
Which of the following can tell us the variation of data within a group of samples? (Check all correct options)
a. T-value
b. Variance
c. Standard deviation
d. Mean
Answers
Variance and Standard deviation can tell us the variation of data within a group of samples.
What is a variance?
Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.
In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.
A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.
What is Standard deviation?
The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.
It is used in statistics to measure how tightly a set of data is clustered around its mean.
What is Mean?
The average value of a group of numbers is referred to as the mean.
It is calculated by adding all of the numbers together and then dividing by the total number of numbers.
What is T-value?
The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.
The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.
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What is the area of a rectangle with a length of 14.4 inches and a width that is one-third of the length?
A .43.2 in.2
B .51.84 in.2
C .69.12 in.2
D .103.68 in.2
Answers
Answer:
C.
Step-by-step explanation:
The area of a rectangle is typically written as:
\(A = l x w\)
where: l represents the length and w represents the width.
Since, in the given problem, we already know the value of the length which is 14.4 inches, and the value of width is one-third of the length. Thus, the width would be:
\(= (14.4)(\frac{1}{3})\\= \frac{24}{5} \\= 4.8 inches\)
We will simply substitute this value to the formula to get the area.
\(A = lxw\\A = (14.4)(4.8)\\A = 69.12 in^{2}\)
Answer:
its c i did this test
Step-by-step explanation:
Write the word sentence as an equation.
t less than 5 is 12
Answers
Answer:
t-5=12
Step-by-step explanation:
Please solve with explanation 15 points
Answers
Answer:
As shown in the attachment.
Step-by-step explanation:
Here are the examples,
Plot the graphs and similarly and check the equations with the various co-ordinates of x and y in the line to verify it is correct.
