Answer:
(3,0)
Step-by-step explanation:
I think this is right.
evaluate the integral. (use c for the constant of integration.) e6θ sin(7θ) dθ
The value of the integral is \(-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}+C\)
Given is an integral we need to solve it,
\(\int e^{6 \theta} sin(7\theta) d\theta\)
So,
Applying the integration by parts,
\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\int \:-\frac{6}{7}e^{6x}\cos \left(7x\right)dx\)
\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\cdot \int \:e^{6x}\cos \left(7x\right)dx\right)\)
\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\left(\frac{1}{7}e^{6x}\sin \left(7x\right)-\int \frac{6}{7}e^{6x}\sin \left(7x\right)dx\right)\right)\)
\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\left(\frac{1}{7}e^{6x}\sin \left(7x\right)-\frac{6}{7}\cdot \int \:e^{6x}\sin \left(7x\right)dx\right)\right)\)
Therefore,
\(\int \:e^{6x}\sin \left(7x\right)dx=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\left(\frac{1}{7}e^{6x}\sin \left(7x\right)-\frac{6}{7}\cdot \int \:e^{6x}\sin \left(7x\right)dx\right)\right)\)
\(=-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}\)
\(=-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}+C\)
Hence the value of the integral is \(-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}+C\)
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16x+6=3x+3 sove for X
send help pls :'))
Answer: x = -3/13.
Step-by-step explanation: Start by subtracting 3x from both sides of the equation to isolate the x terms on one side:
16x + 6 - 3x = 3x + 3 - 3x
Simplifying the equation:
13x + 6 = 3
Next, subtract 6 from both sides of the equation:
13x + 6 - 6 = 3 - 6
Simplifying the equation:
13x = -3
Finally, divide both sides of the equation by 13 to solve for x:
(13x)/13 = (-3)/13
Simplifying the equation:
x = -3/13
A retail store sells 500 jackets each month. Each jacket costs the store $99, and for holding cost purposes, the store estimates capital costs of 12%, storage costs of 10%, and risk costs of 3%. Furthermore, the store incurs annual operating expenses for purchasing in the amount of $1080 in addition to $10 for inspecting and receiving each order. If the store currently places a replenishment order of 650 jackets each time, what is the total annual holding and ordering cost? (Round your answer to the nearest integer)
Answer:
1) The total annual holding cost is $144,788
2) The annual ordering cost is $1170
Step-by-step explanation:
The parameters given are;
The number of jackets sold per month = 500 jackets
The cost of each jacket = $99
The capital cost = 12%
The storage cost = 10%
The risk cost = 3%
Annual purchasing expenses = $1080
Cost for inspecting and receiving each order = $10
Number of jackets contained in each order = 650 jackets
1) Therefore, we have;
Number of jackets sold per annum = 500 × 12 = 6,000
Number of times jackets are ordered per year = (Number of jackets sold per annum)/(Number of jackets sold per annum)
Number of times jackets are ordered per year = 6000/650 = 9.23≈9 orders
Total cost of order = 9 × 650 × 99 = $579,150
Given that the total annual holding cost = (12 + 10 + 3)% of ordering cost
Therefore, the total annual holding cost = 25% of ordering cost
the total annual holding cost = 0.25 × 579,150
The total annual holding cost = $144,787.5 ≈ $144,788
2) The annual purchasing operating expense = $1080
The total cost of inspecting the 9 orders = 9 × $10 = $90
The annual ordering cost = $1080 + $90 = $1170
Drag each tile to the correct box. Arrange the functions in decreasing order of their periods. Y=-3cos(x+2pi) y=2/3cot(pi/4)+6 y=1/2tan(5pi/6 + pi)
y=5csc(3x)+6 y=-10sin(pi/5 - 2pi)
Step-by-step explanation:
The correct order of the functions in decreasing order of their periods is:
y = -10sin(pi/5 - 2pi)
y = 2/3cot(pi/4)+6
y = 5csc(3x)+6
y = 1/2tan(5pi/6 + pi)
y = -3cos(x+2pi)
Note: The periods of trigonometric functions are determined by the coefficient of the independent variable (x in this case). The period of y = asin(bx + c) or y = acos(bx + c) is 2pi/b, and the period of y = atan(bx + c) or y = acot(bx + c) is pi/b. The period of y = acsc(bx + c) or y = asec(bx + c) is 2pi/|b|.
17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please
Answer:
18.8 years
Step-by-step explanation:
8% of $2000 = $160
To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.
Here is a regular polygon with 9 sides
Work out the side of an exterior angle
Thanks
Answer:
40
Step-by-step explanation:
The number of sides also represents the number of angles.
Now, to find the measure of one angle we will need to find the sum of angles first and to do that, we use this very simple formula:
(n-2)*180 (n is the count of interior angles)
7*180 = 1260 and to find the measure of one angle we divide the sum with the number of angles:
1260/9 = 140
now, since the sum of an interior angle and an exterior angle is 180:
180-140 = 40 is the size of one exterior angle
There's an easier way too, just divide the sum of exterior angles by the number of angles
360/9 = 40
Find expressions for the possible dimensions of the rectangular prism.
V = 12y3 + 13y2 + 3y
Answer:
Step-by-step explanation:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Answer:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Step-by-step explanation:
it's this write ... comments plz have a nice day
what's 875,098 to the nearest 100 rounded?
Answer:
the answer to the problem is 875,100
Answer:
875,100Step-by-step explanation:
When we round to a particular place, we will use a few simple rules.
First, let's highlight the place value we're rounding to.
875,098
Next, we look at the number behind the highlighted number, in this case the tens place. If the number is less than 5, the highlighted place value will stay the same. If the number is 5 or above, the highlighted place value increases by 1. In this case, we round 0 up to 1, since there was a 9 in the tens place. We then add zeros for the tens and ones place, since we rounded out of those.
ANSWER: 875,100
please help all of it, tysm
how to dived inters -6÷5
To make a division between two integer, for example -6÷5. The first thing we need to do is:
• Define the sign of the result.
For that we use the law of signs:
• when you divide a negative number by a positive number, the answer will be negative.
,• When you divide a positive number by a negative number, the answer will be also negative
,• When you divide a negative number by a negative number, the answer will be a positive number.
In this example, we have the first case, so the answer will be negative.
Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:
And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.
A right triangle has a leg of 11 cm and a hypotenuse of 17 cm. What is the length of the other leg? round to the nearest tenth. Responses 6. 0 cm 6. 0 cm 13. 0 cm 13. 0 cm 20. 2 cm 20. 2 cm 168. 0 cm.
The length of the other leg of a right triangle, as per the Pythagoras theorem, is option B: 13.0 cm.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse. The calculation of the other leg of tbe triangle is given as follows.
According to the Pythagoras theorem:
(Hypotenuse)² = (Base)² + (Height)²
As per the question,
The height or the length of a leg of a right triangle is given equal to 11 cm and hypotenuse is given 17 cm. The other leg, or the base can be calculated as:
(Base)² = (Hypotenuse)² - (height)²
b² = (17)² - (11)²
b² = 289 - 121
b² = 168
b = √168
b = 12.96
or b = 13cm.
Thus, the base or the other leg of the right triangle is equal to 13 cm.
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For the mathematics projects, a teacher divides 27 students into 2 groups. One group has more students than twice the number of students in the other group by 3. Find the number of students in both groups.
Write as a equation.
Answer:
8, 19
Step-by-step explanation:
let group 1 have x students and group 2 have y students
x + y = 27
but group 2 has 2x + 3 students
the sum of students from both groups is 27
x + 2x + 3 = 27
3x + 3 = 27
3x = 24
x = 8
y = 2x + 3
y = 19
Not so sure on this….
What is the product of `4` and `-2x + 3`?
9514 1404 393
Answer:
-8x +12
Step-by-step explanation:
The distributive property can help you simplify the product.
(4)(-2x +3) = (4)(-2x) +(4)(3) = -8x +12
calculate the p-value associated with the null hypothesis that 50% of the students at eastern work more than 10 hours a week.
The p-value associated with the null hypothesis = 0.05
Fail to reject the null hypothesis. The P-value is greater than the level of significance.
Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours
Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.
You have the Hypothesis that "students study less than 10 hours, on average, per week"
Symbolically:
H₀:μ≥10hours
H₁:μ<10hours
The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.
The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.
The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.
Therefore,
Fail to reject the null hypothesis. The P-value is greater than the level of significance.
The p-value associated with the null hypothesis = 0.05
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What is the slope of the line created by this equation?
y = -6.3x+0
Answer:
-6.3 is your slope.
Step-by-step explanation:
Hello, there! Nice to meet you.
This is a pretty easy question, as it's written in y = mx + b form.
When it's written like this, the m in replacement is your slope value.
So, in this case, -6.3 is your slope.
If I had y = 3x + 6, then 3 would be the slope, but that's just an example.
Once more, the m value is your slope.
Hope this helped, and best of luck with the rest of your assignment! (:
Please help! I will give Brainliest!
Answer:
B
Sorry about the other person
5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.
Show ur work 30 points
Answer:
I don't understand the instructions, but I'll answer the question in the picture.
The angle next to 52 is vertical to y, so, 90-52=y.
Thus, y=38
Which hourly interval had the least rate of change?
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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Jorge rents movies. The table shows the relationship between x, the number of movies he rents, and y, the total cost of the rental in dollars.
Answer:
D. the table does not represent y as a function, because the points does not lie on a straight line when they are graphed.
Step-by-step explanation:
In the last column we can see that y value is 4, if the line was linear/straight the x value would be 12 not 10. This also means that the statement there is a straight line is false and y is not a function.
Hermes says that the opposite of 9 is 9 since
each number is 9 units from zero on the number line. Is Hermes correct?
Explain why or why not
Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
To find the same distance away from zero in the opposite direction to determine the opposite number.
The distance from zero in this situation is 9. nine times in the opposite direction from zero.
Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.
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Which of the following is a type of face found on a Platonic solid? A. Parallelogram B. Square C. Quadrilateral D. Rectangle
Answer:
B. Square
Step-by-step explanation:
"In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent, regular, polygonal faces with the same number of faces meeting at each vertex."
A square is a type of face found on a Platonic solid.
Option B is the correct answer.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The Platonic solids are a group of five polyhedra that have certain properties, including the fact that they have regular polygonal faces.
Specifically, each face of a Platonic solid must be a regular polygon, meaning that all of its sides and angles are congruent.
Square, because a square is a type of regular polygon with four congruent sides and angles, and it is one of the types of faces found on a Platonic solid.
The other regular polygons that can be faces of Platonic solids are equilateral triangles, regular pentagons, regular hexagons, and regular dodecagons.
Thus,
A square is a type of face found on a Platonic solid.
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PLEASE HELP ME TO ANSWER THIS QUESTION THANK YOU!
Answer:
Step-by-step explanation:
a. 4cm * 9cm * 2cm = 72 cm^3
b. 5m * 4m * 9m = 180 m^3
c. 10dm * 36 dm^2 (because the square could also be represented as 6cm * 6cm) =360 dm^3
d. (56mm)^3 = 175616 mm^3
e. 10 m * 1 m^2 (because of the square) = 10m^3
To tell which cubic unit of measure that should be used:
⇒ we should examine the unit of the side lengths
First question (a):
a rectangular prism that is 4cm by 9 cm by 2cm⇒ must use cm³ as cubic unit of measure
⇒ as all sides are centimeters
⇒Answer: cubic centimeters or cm³
Second question(b):
a rectangular prism that is 5m by 4m by 9m⇒ must use m³ as cubic unit of measure
⇒ as all sides are meters
⇒Answer: cubic meters or m³
Third question(c):
a rectangular prism that gives only two side length: 10dm, 6dm⇒must use dm³ as cubic unit of measure
⇒ as all of the sides given are in decimeter
⇒Answer: cubic decimeter or dm³
Fourth question(d):
a cube that gives only one side length: 56mm⇒ must use mm³ as cubic unit of measure
⇒ as all the given sides with side lengths are in millimeters
⇒ Answer: cubic millimeters or mm³
Fifth question(e):
a rectangular prism with two side length: 1m, 10m⇒ must use m³ as cubic unit of measure
⇒ as all given sides with side lengths are in meter
⇒Answer: cubic meter or m³
In general:
⇒ when faced with these problems
⇒ look to the unit of measure of the majority of the side lengths
⇒ look to the unit of measure that the problem wants for the answer
Hope that helps!
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Deshad runs a river tubing company that serves 300 customers a day during sunny, summer days. He
knows that 45% of the customers rent life jackets. Suppose that Deshad calculates the daily proportion
of customers who rent life jackets from his sample of 300. We can assume the customers each day
represent a random sample,
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer.
0.45
3 of 9
Answer:
Step-by-step explanation:
A study is designed to test the effects of location (island vs. mainland) and squirrels (present or absent) on the cone sizes of lodgepole pines. Which of the following interaction plots is consistent with this combination of main effects and interactions? A main effect of location is present. A main effect of squirrels is present. An interaction between squirrels and location is present.
The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.
An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).
Based on the given information, we have the following main effects and interactions:
1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.
2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.
3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.
Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.
Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.
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answer and or help would be much appreciated work is due and needs to be submitted
Answer:
1. D
2. C
3. B
4. A
Step-by-step explanation:
just match up the number y is on the right side and x on the left side like this (x,y)
Which is greater 6 cups or 4 quarts
Answer:
4 quarts
Step-by-step explanation:
because 4 quarts is 16 cups
Answer:
4 quarts to is greater then 6 cups
Software on your computer is taking a long time to load. What could help solve this problem? Close and reopen the program. Delete the program from the computer. Open a different program instead. Select the program icon again.
Answer: I think is close and reopen the program
Step-by-step explanation:
The option for problem is Close and reopen the program.
What is software?Software is a set of instructions for a computer to follow. The entirety of a computer system's programs, procedures, and routines are referred to as software. The term was developed to distinguish these instructions from hardware—for example, a computer system's physical components. A software program is a set of instructions that tell a computer's hardware how to do something.
System software and application software are the two most common types of software. A computer's internal operation is primarily controlled by an operating system, but system software also controls monitors, printers, and storage devices.
Given Software on computer is taking a long time to load,
There are a few simple solutions for programs that take a long time to open:
Restart your computer, Scan for viruses and malware with Windows Defender or another antivirus program. Use System File Checker to fix the slowness. And Close and reopen the program.
Hence Verify that each and every option for utilizing the software is functional, Close and reopen the program.
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Which expression represents 12 times a number, n, minus 6? A. 12n – 6 B. 12 – 6n C. 12 + n – 6 D. 12n – 6n
Answer:
12n-6
Step-by-step explanation:
hope this helps!
Answer:
A. 12n — 6
Step-by-step explanation:
12 times a number which is n so
12n then minus 6,
12n-6
Therefore, A is correct
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Thank You!
Answered by: ms115
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