Answer:
Step-by-step explanation:
Newton's method is an iterative method for finding the roots of a function, which means that it can be used to find the values of x that make a function equal to zero. It can also be used to find the maximum or minimum values of a function, but to do so you will need to find the derivative of the function and use that to determine where the maximum or minimum values occur.
The derivative of the function f(x) = 7x cos(x) is f'(x) = 7 cos(x) - 7x sin(x), and you can use this to find the maximum value of the function. To do this, you would need to find the values of x that make the derivative equal to zero, since the maximum or minimum values of a function occur at the points where the derivative is equal to zero.
To find the values of x that make the derivative equal to zero, you can use Newton's method, which involves starting with an initial guess for the value of x, and then using the derivative to find a better approximation for the value of x. This process is repeated until the desired level of accuracy is reached.
In your case, you could start by making an initial guess for the value of x that makes the derivative equal to zero. For example, you could start with x = 0 and then use the derivative to find a better approximation. This process would involve calculating the derivative at the initial guess, and then using that value to find a better approximation for the value of x. This process would be repeated until the desired level of accuracy is reached.
Once you have found the values of x that make the derivative equal to zero, you can plug those values back into the original function to find the maximum value of the function. This will give you the absolute maximum value of the function f(x) = 7x cos(x), 0 ≤ x ≤ , correct to six decimal places.
Two basketball players are trying to have the most
points per game for the season. The current leader has
2112 points in 77 games and the second place player
has 2020 in 74 games. How many points per game did
the leading team score?
Round to the nearest tenth
The leading team scored 27.43 points per game in basket ball game.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The points scored by current leader in 77 basket ball game = 2112,
And the points scored by second place player in 74 game = 2020.
The point scored by players in one match, use ratio property,
By current leader,
Points scored in 77 games = 2112
points scored in 1 game = 2112/77 = 27.43
By second place leader,
Points scored in 74 games = 2020,
Points scored in 1 game = 27.3
The leading team scored 27.43 points per game.
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Graph the function. Identify whether or not the graph is a function
Answer:
No
Step-by-step explanation:
Because a vertical line can intersect the curve more than once, the graph does not represent a function.
What is the solution to the system of two equations shown?
{y=4x+16y=−2x−2
y=4x+16 y=-2x-2
The solution of the given system of equation is x = -3 and y = 4 respectively.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
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Claire said 4/3 /5/2 is 10/3. She reasoned 4/3 *5 = 20/3 and 20/3 / 2= 10/3
Clare's answer and reasoning are incorrect because she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation and the correct quotient is 8/15, not 10/3.
To perform the division operation (4/3) ÷ (5/2), we need to first divide the numerator by the denominator.
This gives us (4/3) ÷ (5/2) = 8/15.
Thus, Clare's reasoning is incorrect because she did not apply the order of operations when simplifying the expression.
Instead, she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation (20/3) ÷ 2 = 10/3.
Therefore, the correct quotient is 8/15, not 10/3.
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A pizza with 3 toppings costs $12.45. A pizza with 7
toppings costs $17.05. What is the equation that
determines the cost of a pizza (c) based on the number
of toppings (t)?
Answer: it costs $4.15 for a pizza with 1 topping. Is that what you meant?
Step-by-step explanation:
Find the exact value of cos ( 285 ∘ ) .
Answer:
[tex]\frac{\sqrt{6}-\sqrt{2} }{4}[/tex]
Step-by-step explanation:
You have to use your calculator if you have one.
Which formula describes acceleration?
m²
m/s²
m/s
s/m
Answer:
M/s^2
Step-by-step explanation:
The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (,) and (,) to find the number of soda bottles the machine can make each minute.
The number of b the machine can make each minute are 40.
What is machine?
A physical system known as a machine uses power to apply forces, regulate movement, and carry out an action. In addition to naturally occurring biological macromolecules like molecular machines, the term is frequently used to describe artificial devices that use engines or motors.
Given:
The graph shows the relationship between time and the number of soda bottles a machine can make.
We have to find the number of soda bottles the machine can make each minute by using the points (3, 120) and (7, 280).
Let x is the time in minutes and y is the number of soda bottles.
From the given points in 3 minutes machine can make 120 soda bottles.
So, in each minute machine can make 120/3 = 40 soda bottles.
Hence, the number of b the machine can make each minute are 40.
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Complete question:
Complete question is attached below.
1.
Which inequality represents the expression 9 is less than or equal
to b?
Answer:
Step-by-step explanation:
9 ≤ b
( I think unless it faces the other side...if wrong then I'm sorry)
What are all of the real solutions of f(x)=0
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
Please help me and with explanation too(English only)
Answer:
1
Step-by-step explanation:
The angles of a triangle must add up to 180 degrees, which gives the expression
180 = 111 + 34 = 35t
simplifying this expression gives
35 = 35t
Then solve for t to get
t = 1
Paul and Chris work at a car shop. It takes Paul 30 minutes to change the tire, and
it takes Chris 30 minutes to change the tires. If they work at their own rates,
approximately how long would it take them to change the tires of one car.
a. 35 min
b. 10 min
c. 20 min
d. 15 min.
It will them 15 minutes to change the tire of one car which is option d.
What is inverse proportion?Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.
It takes 30 minutes either Paul or Chris to change the tire if both of them should work at the same rate, then the time of changing a tire would reduce.
so the time taken one tire by the two men 30/2 = 15 minutes.
In conclusion it took the 2 men 15 minutes to change one tire
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what the dog doing ?
The dog is playing with his chew toy!
Answer:
Explanation
Step-by-step explanation:
In general, dogs can run 15-20 mph
humans can run 6-8 mph
You are significantly slower than the dog,
the fastest human is around 27 miles per hour, unfortunately, even if you were this fast
the fastest dog can run 40 miles per hour as an estimate
even house cats can run at 30 mph maximum if they really wanted,
You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were 6597 total votes, how many yes votes were there?
The required number of people who voted for yes is 3665.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
As mentioned in the question,
The people residing in the city voted on whether to raise property taxes. The ratio of yes to no is 5 to 4.
The multiplication of the proportion of yes to the total proportion of total votes gives the number of people who voted for yes.
The ratio of people yes to no = 5:4
Proportion of yes voted people = 5 / 9
The number of people who voted for yes = 5 / 9 × 6597 = 3665.
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Many members of a certain workforce died from cancer supposedly resulting from exposure to radioactive
fallout Suppose that among the 215 members of the workforce, 91 developed cancer. For that time period
and for the age of the cohort, the incidence of cancer was about 40%. Use the randomization procedure
and a 0.05 significance level to test the claim that the sample of this workforce is from a population in which
the rate of cancer is greater than 40%. The accompanying set of 500 sample proportions (rounded to four
decimal places) was obtained by resampling using technology as part of the randomization procedure; use
P-value=
(Round to three decimal places as needed.)
ample Get more help -
Clear all
Check answer
The p-value of the test hypothesis is given as follows:
0.2420.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is not greater than 40%, that is:
[tex]H_0: p \leq 0.4[/tex]
At the alternative hypothesis, it is tested if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
What are the test statistic and the p-value?The test statistic is given by the equation presented as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which the parameters are defined as follows:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The values of these parameters for this problem are given as follows:
[tex]p = 0.4, n = 215, \overline{p} = \frac{91}{215} = 0.4233[/tex]
Hence the test statistic is given as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4233 - 0.4}{\sqrt{\frac{0.4(0.6)}{215}}}[/tex]
z = 0.7.
Using a z-distribution calculator, with a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of:
0.2420.
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The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90%
pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each
of the two existing types of drink must be used to make 170 pints of a mixture that is 45% pure fruit juice?
Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.
Step-by-step explanation:
We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:
x + y = 170 (1)
0.4x + 0.9y = 0.45 * 170 (2)
We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:
0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y
0.5x = 0.45 * 170 - 0.9y
x = (0.45 * 170 - 0.9y) / 0.5
We can substitute this expression for x into equation (1) and solve for y:
y = 170 - x
y = 170 - (0.45 * 170 - 0.9y) / 0.5
2.2y = 170 - 0.45 * 170
y = (170 - 0.45 * 170) / 2.2
y = 85 / 2.2
We can then substitute this value for y back into equation (1) to solve for x:
x = 170 - y
x = 170 - (85 / 2.2)
x = 170 - 38.63636
x = 131.36363
Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.
Find the value of x in the equation
Answer:
Step-by-step explanation:
AV is an angle bisector. Lets name the intersection between AV and OU Y. Hence, OY=UY. We substitute and get :
7x+2=3x+10 |-3x
4x+2=10 |-2
4x=8 | /4
x=2
For each binomial probability statement below determine the corresponding normal distribution probability statement after a continuity correction. P(x> 118); P(x<118); P(x > 118)?
The probability statements after continuity correction are given as follows:
P(x > 118) = P(x > 117.5).P(X < 118) = P(X < 118.5).P(X = 118) = P(117.5 < x < 118.5).What is continuity correction?Continuity correction is used as a "correction" when a continuous distribution is used to approximate a discrete distribution. One example of this is the approximation of the binomial distribution to the normal distribution.
Hence, using continuity correction, the range of values that corresponds to a number of exactly x is given as follows:
x - 0.5 < x < x + 0.5.
Thus the range of values of 118 is given as follows:
117.5 < x < 118.5.
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Is 2x^x a power function? Explain why or why not.
[tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.
What is Power function?A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
The function is [tex]2x^{x}[/tex] is not a power function because a power function requires the exponent to be a constant value.
In the given function the variable x as power x which is variable.
The variable exponent should be constant.
When x is zero it is undefined. Another issue is the table indicates for negative values the output alternates between being positive and negative. So it is also not an exponential function either.
Hence, [tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.
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Solve for x
4 - (2x + 4) =
Please explain step by step on how I could get this answer!
Answer:
4
Step-by-step explanation:
2x4=8 8-4=4
Annie bought 149 5-oz bags of peanuts.
What's the total weight of the peanuts in pounds? Round answer to the hundredths place.
PLEASE HELP!
Answer:
46.5625 lbsStep-by-step explanation:
First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS
Second:
1lb=16oz
5oz≈1/3lb
149×5=745 ((I have no idea where this is going))
745oz=46.5625 ((You can do the rounding my head hurts.))
Triangle A and Triangle B are right triangles.
Triangle A has a height of 8 meters and a base of 6 meters.
Triangle B has a height that is one unit greater than triangle A and a base that is one unit less.
Part A
What is the measure of the hypotenuse of triangle A? Show your work.
Part B
Determine if the hypotenuse of triangle B has the same hypotenuse as triangle A. Justify your solution.
7+2x/3=5 need help aspa
Answer:
x = –3
Step-by-step explanation:
7 + 2x/3 = 5
2x/3 = 5 – 7
2x/3 = –2
multiply both sides by 3
2x = –6
divide both sides by 2
x = –6/2
x = –3
please rate as brainliest i need to move to the next rank
(1,6) and (3,8) find the slope
Answer
1
Step-by-step explanation:
1
(y2-y1) / (x2-x1)
(rise over run)
(8-6) / (3-1)
2/2
1
Mary has 26 coins. It equals $4.85 in dimes and quarters. How much of each kind of coin
does she have
Answer: 15 quarters, 10 dimes, and a penny
Step-by-step explanation: Hope it helps, please pick brainliest.
Answer:
15 quarters, 10 dimes, and a penny
Determinați cel mai mare divizor comun al următoarele numere : 24,60,72,84
Answer:
12
Step-by-step explanation:
24 = 2³ × 3
60 = 2² × 3 × 5
72 = 2³ × 3²
84 = 2² × 3 × 7
cel mai mare divizor comun = 2² × 3 = 12
select all the expressions that are equal to the product of 14 and 9
Answer:
Step-by-step explanation:
126
Four distributions, labeled (a), (b), (c), and (d) are represented below by their histograms. Each distribution is made of measurements. Without performing any calculations, order their respective means , , , and .
The ranking of the data-sets according to their respective means is given as follows:
[tex]\mu_C < \mu_D < \mu_B < \mu_A[/tex]
How to calculate the mean of a data-set?The mean of a data-set is calculated as the sum of the values of all the observations divided by the number of observations.
In this problem, all the distributions have the same number of observations, hence the means are ranked from the highest sum.
The squares give the number of times that each observation appears in the data-sets.
The smallest mean is the mean of data-set C, as it is the only one with three measures of eight, while the other data-sets have four measures of eight.
Then the greatest mean is of data-set A, as it is the only with an observation of 6, and then data-set B has a greater mean than data-set D, as it has an observation of five while data-set D has an observation of three.
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The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in terms of n (pie) PLS LOOK AT THE PHOTO AND HELP ME OUR, I’M GETTING TIMED
ok you need formula for surface area.
SA = πrh+2πr^2
Plug in 25 and 5
SA = 2π(5)(25)+2π(5)^2
SA = 10pi*25 + 2pi(25)
SA = 250pi + 50pi
SA = 300pi
Hope this helps :)
Jeron