Answer:
70
Step-by-step explanation:
let me know if its correct plz :)
f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2. Find the interval(s) on which f is concave up. (Enter your answer using interval notation.).
To determine where the function f(x) = ln(2 + sin(x)) is concave up, we need to find the second derivative of the function and then determine where the second derivative is positive.
First, we find the first derivative of f(x):
f'(x) = cos(x) / (2 + sin(x))
Then, we find the second derivative of f(x):
f''(x) = [(-sin(x))(2 + sin(x)) - (cos(x))^2] / (2 + sin(x))^2
Simplifying this expression, we get:
f''(x) = [-sin(x)^2 - cos(x)^2 - 2sin(x)cos(x)] / (2 + sin(x))^2
f''(x) = [-1 - sin(2x)] / (2 + sin(x))^2
Now, to find where f''(x) is positive, we need to solve the inequality:
f''(x) > 0
[-1 - sin(2x)] / (2 + sin(x))^2 > 0
The denominator is always positive, so we only need to consider the numerator. We can solve the inequality by considering two cases:
Case 1: -1 < sin(2x) < 0
In this case, the numerator is negative, so the inequality cannot hold. Therefore, there are no solutions in this case.
Case 2: sin(2x) < -1
In this case, sin(2x) is negative and less than -1, which means that 2x is in the third or fourth quadrant. The solutions are given by:
π/2 < x < 3π/4
5π/2 < x < 11π/4
Note that these intervals are within the given domain of the function, 0 ≤ x ≤ 2.
Therefore, the interval on which f(x) = ln(2 + sin(x)) is concave up is:
(π/2, 3π/4) U (5π/2, 11π/4)
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TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
See photo for problem really need help
Answer: it think there is no solutions
Step-by-step explanation:
i hope i'm right i'm sorry if i'm not
Renting a roller rink for your birthday costs $200 plus $5 per person. The total charge
for your party was $335. Translate this information into an equation using x to
represent the number of guests at your party.
Answer:
200 + 5x = 335
x = 27
Step-by-step explanation:
let 'x' = number of guests
200 + 5x = 335
5x = 135
x = 27
I need help, we are doing riddles in math class and Im confused.) 1. Buddy and Hermey were both born on christmas eve. When buddy was 6 years old, hermey was half his age. If buddy turns 100 this christmas eve, how old is hermey going to be?) 2.At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80. If a cup of hot cocoa costs $1.00 more than the cookie, how much does a cup of hot cocoa cost?) 3.
Dasher spent half as much as prancer did on holiday presents this year and cupid spent 3 times more than dasher. If the total spent between the three of them was $720, how much did they each spend on gifts?
Answer:
Step-by-step explanation:
for the first one the answer is 97 for the second one the it is hot coco cost 1.40$ and a cookie costs 0.40$ and for the last one it is dasher spent 120$ prancer spent 240$ and cupid spent 360$.
9, 18, 12, 9, 13, 22, 8, 23, 16, 17 What is the mode?
Answer:
9
Step-by-step explanation:
9, 18, 12, 9, 13, 22, 8, 23, 16, 17
Mode is the number that appears most often
Listing numbers in order from smallest to largest helps to see how many of each number
8,9,9, 12, 13,16,17 ,18, 22, 23,
We see the number 9 appears most often
Bradley is planning to publish a cookbook. He consults with the author, and they decide to include 150 recipes, with one on each page. They also decide to divide the book into three sections: vegetarian dishes, meat dishes, and desserts.
Find statistics to determine the ratio of vegetarians to non-vegetarians in your country. Use this to determine what the ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook.
The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.
To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.
This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.
For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.
Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.
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3
) Find the product.
4/5 x3
Answer:
12/5
Step-by-step explanation:
4/5 x 3 = (4 x 3)/5 = 12/5 (2 and 2 fifths)
Answer:
12/5Simplified:
2 2/5.Step-by-step explanation:
Given equation:
3 * 4/5Multiply ONLY the numerator with the whole number to get the answer:
3 * 4/5 = 12/5Simplify:
2 2/5.The restaurant serves breakfast from 6 AM until 10:30 AM. They sell six every 15 minutes. Should the restaurant expect to sell more than or fewer than 100 omelettes? Explain your answer.
Answer:
The restaurant expect to sell more than 100 omelets
Answer:
They will certainly Sell more than 100.
Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!
Need Help on Algebra 2 Question To Finish My Unit Exam (10.12)
Answer:
3rd option
Step-by-step explanation:
please help! i will give brainliest!
Answer:
60°
Step-by-step explanation:
180-120 = 60
The reason is a straight line is 180 degrees and we have 120 degrees and just need to find x.
A curve is represented by the equation 2y3 + xy - 6x + 3 = 0. Part A: Determine dy dx (10 points) Part B: Evaluate dy at the point (1, 1). (10 points) dx Part C: Determine d°у (10 points) dx2 day Part D: Evaluate at the point (1, 1). (10 points) dx2
The derivative of the equation 2y³ + xy - 6x + 3 at the point (1,1) is 0, and the second derivative is 13.
The derivative of y with respect to x can be calculated by differentiating both sides of the equation with respect to x. This gives us:
\(\frac{dy}{dx} = \frac{x}{2y^2} - 5\)
We can evaluate dy/dx at the point (1, 1) by substituting x = 1 and y = 1 into the equation for dy/dx and calculating the result. This gives us:
\(\frac{dy}{dx} = \frac{1}{2} - 6 = -5.5\)
The second derivative of y with respect to x can be calculated by differentiating both sides of the equation with respect to x twice. This gives us:
\(\frac{d^2y}{dx^2} = -\frac{1}{2y^3}\)
We can evaluate d2y/dx2 at the point (1, 1) by substituting x = 1 and y = 1 into the equation for d2y/dx2 and calculating the result. This gives us:
\(\frac{d^2y}{dx^2} = -\frac{1}{2} = -0.5\)
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If the assessment rate is 46% and the tax rate is $37.84 per $1,000 of assessed value, the property tax on a house with a market value of $170,000 is
The property tax on a house with a market value of $170,000 is $2,959.09.
What is property tax?Property tax is a tax levied on the assessed value of property owned by an individual or a corporation.
Data and Calculations:Assessment rate = 46%
Tax rate = $37.84 per $1,000
Market value of house = $170,000
Assessed value = $78,200 ($170,000 x 46%)
Property tax = $2,959.09 ($78,200 x $37.84/$1,000)
Thus, the property tax on a house with a market value of $170,000 is $2,959.09.
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discuss any two advantages of superposition theorem
compared to other circuit theorms
The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.
Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:
Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.
Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.
It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.
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Help me please lol nnb
Answer:
128
Step-by-step explanation:
PLEASE ANSWER!!!!! IN A PARAGRAPH
The election is over! What kind of apportionment method does the United States of America uses to elect our President? If you could use a different apportionment method, which one would you choose and why?
Answer:The United States Electoral College is the group of presidential electors required by the ... They choose one elector per district and two electors for the ticket with the ... on the count of both voter and non-voter residents for state apportionment. ... there can be a president elected who does not win the national popular vote.
Step-by-step explanation:
Answer:
The United States elects presidents from electors from the electoral college to choose a President from the candidates. I personally believe that the popular vote should be able to elect our Presidents because then every single citizen would be able to have a stronger say in which President they want to serve.
I hope this helps you with your writing assignment!
5 times a number is at least 60.
Please help DUE TODAY
Answer:
5 times 12 = 60
Step-by-step explanation:
5 times 12 is at least 60
need help real bad this is due to day
Answer:
7.36 sq ft
The answer is 7.36
Answer:
A = 10 \(\frac{1}{12}\) ft²
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × width
= 3 \(\frac{2}{3}\) × 2 \(\frac{3}{4}\) ( change to improper fractions )
= \(\frac{11}{3}\) × \(\frac{11}{4}\)
= \(\frac{11(11)}{3(4)}\)
= \(\frac{121}{12}\)
= 10 \(\frac{1}{12}\) ft²
Need some help with that
The work done in each of the cases is:
B) W = 8,400 N*m
C) W = 17,500 N*m
How to find the work done?The work can be defined by the product between the force and the distance translated.
W = Force*Distance
So, if there is a force of 120N and the vehicle moves 70 meters, the work done is:
W = 120N*70m = 8,400 N*m
C) Similar case to the above one, here the force is F = 3.5 KN = 3,500N
And the distance is d = 15m
Then in this case the work done is:
W = 3,500N*15m = 17,500 N*m
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What is the radius of 6in
Answer:
Three inches because its half of six
In an election, 471 people voted. Candidate B received 2/3 of the votes. How many votes did Candidate B receive?
Answer:
Step-by-step explanation:
471/3 * 2 = 314
Answer:
Candidate B has 165 votes
Step-by-step explanation:
Enter the degree of the polynomial
below. 6x6 +9x³+3x² - 4x¹0 - 9x5 – 5x6 A. 4 B. 9 C. 6 D. 10
Answer:
10
Step-by-step explanation:
Degree is the highest exponent
the total number of sides in 2 regular polygons is 13, and tge titak number of diagonals is 25. how many sides is each polygon
One polygon has 6 sides and the other has 7 sides.
Polygons are closed 2D shapes made up of straight lines. Regular polygons have sides of equal length and angles of equal measure. In this problem, we are given information about two regular polygons.
We are told that the total number of sides in both polygons is 13. Let's call the number of sides in one polygon "n" and the number of sides in the other polygon "m". Then, we know that:
n + m = 13
Next, we are given the total number of diagonals in both polygons, which we can calculate using the formula:
d = (n(n-3) + m(m-3))/2
where "d" is the total number of diagonals. We are told that d = 25. Substituting this value and the equation for n + m into the diagonal formula, we get:
25 = (n(n-3) + m(m-3))/2
25 = (n² - 3n + m² - 3m)/2
50 = n² - 3n + m² - 3m
We can use the equation n + m = 13 to solve for one variable in terms of the other. For example, we can solve for "m" by subtracting "n" from both sides:
m = 13 - n
Substituting this into the previous equation, we get:
50 = n² - 3n + (13-n)² - 3(13-n)
50 = n² - 3n + 169 - 26n + n² - 36 + 3n
Simplifying this equation, we get:
2n² - 26n + 45 = 0
We can use the quadratic formula to solve for "n":
n = (26 ± √376)/4
n ≈ 5.61 or n ≈ 8.39
Since we are dealing with whole numbers of sides, "n" must be either 6 or 8. Plugging each value into the equation n + m = 13, we find that the other polygon must have the opposite value.
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19 - 6(-k + 4) Simplify to create an equivalent expression
The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.
Given that:
Expression, 19 - 6(-k + 4)
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Simplify the expression, then we have
⇒ 19 - 6(-k + 4)
⇒ 19 + 6k - 24
⇒ 6k - 5
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answer this math question for 10 points
A researcher finds that two variables, A and B, are correlated. All of the following could be true EXCEPT O a. Variable A causes changes in variable B O b. Variable B causes changes in variable A O c. Variables A and B are related O d. Variables A and B are unrelated e Variables A and B are related because they are both caused by variable
Answer:
d. variables A and B are unrelated
(make sure that these were the only options, it could happen that two variables that might have a correlation coefficient might be totally unrelated)
Step-by-step explanation:
Since the variables A and B are already correlated, then they cannot be unrelated
a,b,c,or d !? please help
Answer:
b
Step-by-step explanation:
Is 11:17 the same as 17:11
Answer:
It is a ratio, which could mean yes and no, mattering which side of the ratio the number goes to.
Step-by-step explanation:
Answer:
yes because it is the same
a storage bin in the shape of a rectangular prism has a volume of 10x3 9x2 2x. what linear expressions can represent possible dimensions of the bin?
For a storage bin of rectangular prism and volume of prism, 10x³ + 9x² + 2x, then the linear expressions can represent possible dimensions of the bin is x( 2x + 1)(5x+2).
The volume of a rectangular prism is also called the capacity that it can hold or the space occupied by it. The formula used to calculate the volume of a rectangular prism is written as Volume (V) = height of the prism × width × length--(1). It is represented in cubic units such as cm³, m³etc. We have a storage bin in the shape of a rectangular prism.
Volume of prism, V = 10x³ + 9x² + 2x.
We have to determine the linear expression which represent possible dimensions of bin.
Now, Volume expression is V = 10x³ + 9x² + 2x.
Using factorization, for determining dimensions,
= x( 10x² + 9x + 2) ( taken out x )
Using the the middle term splitting in Quadratic form,
= x( 10x² + 5x + 4x + 2)
= x( 5x( 2x + 1) + 2( 2x + 1)) ( making pairs and factorize)
V = x( 2x + 1)(5x+2)
from equation (1), height of the prism × width × length that is dimensions = x( 2x + 1)(5x+2). Hence, requird expression is x ( 2x + 1)(5x+2).
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Which equation is NOT equivalent to 1/25
A) 53.5-5
B) 5-1.5-1
C) 53.5
D) 5-2.54
Answer:
i think its b
Step-by-step explanation: