Therefore the derivative of the function y= [tex]\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV[/tex] is dy/dx=- sinx(3 + [tex]cosx^{3}[/tex]) -cosx(3 + [tex]sinx^{3}[/tex])
What is derivative?The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function value to a change in its argument. An important calculus tool is the derivative.
Here,
y= [tex]\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV[/tex]
y=[tex][\int\limits^{cosx}_{c} +\int\limits^{c}_{sinx}] {(3+V^{3}) } \, dV[/tex]
y=[tex]\int\limits^{cosx}_{c} {(3+V^{3}) } \, dV +\int\limits^{c}_{sinx}{(3+V^{3}) } \, dV[/tex]
Therefore by the Fundamental Theorem of Calculus
dy/dx=(3 + [tex]cosx^{3}[/tex])dcosx/dx - (3 + [tex]sinx^{3}[/tex])dsinx/dx
dy/dx=- sinx(3 + [tex]cosx^{3}[/tex]) -cosx(3 + [tex]sinx^{3}[/tex])
Therefore the derivative of the function y= [tex]\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV[/tex] is dy/dx=- sinx(3 + [tex]cosx^{3}[/tex]) -cosx(3 + [tex]sinx^{3}[/tex])
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3. The point (−5,3) is on the terminal arm of an angle θ in the standard position.
(a) Find θ
Answer:
Step-by-step explanation:
shan sees his friends for 90 minutes each day. In 7 days, how many minutes does he spend with his friends? use place value to find out
Answer:
90 x 7= 630 minutes
Step-by-step explanation:
Deb is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Hartford was $300. Now the cost is $375. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
The percent increase in the cost to Deb, to fly from Boston to Hartford is 25%
If the airline charges an additional $50 baggage fee then the percent increase would be 41.67%
How to find the percent increase?The percent increase to Deb to fly from Boston to Hartford can be found by the formula:
= ( Cost to fly now - Cost to fly two weeks ago ) / Cost to fly two weeks ago
= ( 375 - 300 ) / 300
= 0. 25
= 25%
If an additional $50 baggage fee is added to the new price, the percent increase is:
= ( (375 + 50 ) - 300 ) / 300
= 41.67%
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in the context of assessing wound healing as an indicator of immune functioning, which of the following impairs the inflammatory response that initiates wound repair?
Acute ethanol exposure can hinder the early inflammatory response, which can delay wound healing.
Hemostasis, inflammation, proliferation, and remodeling are the four perfectly timed steps that make up the normal biological process of wound healing in the human body. All four phases of wound healing must take place in the right order and amount of time for healing to be successful. Numerous factors may affect one or more stages of this procedure, impairing or causing incorrect wound healing.
Each stage of wound healing has certain milestones that must occur in order for normal healing to progress. In order to identify the differences inherent in chronic wounds that prevent healing, it is important to review the process of healing in normal wounds
In summary, acute ethanol exposure can lead to impaired wound healing by impairing the early inflammatory response, inhibiting wound closure, angiogenesis, and collagen production, and altering the protease balance at the wound site.
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6. The following polygon is a regular octagon with
center O. What is the value of x?
to
Check the picture below.
Function is g(x)=|x+3| can you find the domain and range? 100 points!
The domain and range of the given function is -
Domain : (- ∞, + ∞) or -∞ < x < +∞
Range : [0 ∞) or 0 ≤ y < +∞
What is modulus function? What is a mathematical equation? What do you mean by domain and range of a function?The modulus function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. We can write the modulus function as -|x| = x | x ≥ 0
|x| = -x | x < 0
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following function -
g(x) = |x +3|
Refer to the graph attached. It can be seen that -
Domain : (- ∞, + ∞) or -∞ < x < +∞
Range : [0 ∞) or 0 ≤ y < +∞
Therefore, the domain and range of the given function is -
Domain : (- ∞, + ∞) or -∞ < x < +∞
Range : [0 ∞) or 0 ≤ y < +∞
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4. On a reality TV show, there were 13 participants, 7 males and 6 females. Two teams of 6
are to be randomly selected. The first team of 6 will be selected from all 13 participants, and
the second team of 6 will be picked from the remaining 7 participants. Assume the order in
which the players are picked does not matter.
a. What is the probability that the first team will be a team of all males?
b. What is the probability the second team is all females, given the first team is all males?
Answer:
What is Probability ?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes
Three main categories of probability exist:
Theoretical ProbabilityExperimental ProbabilityAxiomatic ProbabilityThe first team will be a team of all males :
Total number of Outcomes = 13C6 = 1716
Number of favourable outcomes = 7C6 = 7
Probability that all member of the first team will be male is =
Number of favourable outcomes/Total number of Outcomes
= 7/1716
the second team is all females, given the first team is all males
Total number of Outcomes = 7C6= 7
Number of favourable outcomes = 1
the probability the second team is all females, given the first team is all males = (Number of favourable outcomes/Total number of Outcomes)
= 1/7.
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Find the equation of a circle whose
center is (-3,5) and passes through
P(1,8).
The equation of the circle is [tex](x+3)^2 + (y-5)^2 = 5^2[/tex]
What does the equation for a circle look like in cartesian form?
Cartesian coordinate system with the origin indicated in red and a circle with a radius of two. A circle has the equation (x a)^2 + (y b)^2 = r^2, where a and b are the center's coordinates (a, b) and r is the radius.
The equation of a circle has the following conventional Cartesian form:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex] ---------- 1
where (h, k) is the circle's center, (x, y) is any point on the circle, and r is its radius
Substitute the center (-3,5) into equation [1]:
[tex](x+3)^2 + (y-5)^2 = r^2[/tex] --------------------- 2
Substitute the point (1,8) into equation [2] and solve for r:
[tex](1+3)^2 + (8-5)^2 = r^2\\(4)^2 + (3)^2 = r^2\\16 + 9 = r^2\\25 = r^2\\r = 5[/tex]
Substitute 5 for r into equation [2]
[tex](x+3)^2 + (y-5)^2 = 5^2[/tex]
Hence the equation of the circle is [tex](x+3)^2 + (y-5)^2 = 5^2[/tex]
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the sale price of any item in a store is 85 percent off it's usual price what is a 18 dallor sweaters sale price
The sale price of the sweater is $2.7
How to determine the sales price of the sweater?From the question, we have the following parameters that can be used in our computation:
Markdown rate = 85% off
Original price of the sweater = $18
The retail price of the coat can be calculated using the following equation
Retail price = original price * (1 - Markdown rate)
Substitute the known values in the above equation, so, we have the following representation
Retail price = 18 * (1 - 85%)
Evaluate the products
Retail price = 2.7
Hence, the sales price is $2.7
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A bakery produces cakes, cookies, and biscuits. The raw materials for these products are all the same (eggs, flour, water and sugar). The owner of the bakery would like to determine the best mix of products to produce with the materials currently in the bakery. Which of the following are resource constraints for this problem?
-Amount of flour used <= Amount of flour available
-Amount of sugar used <= Amount of sugar available
Therefore the constraints for this problem is the amount of flour used must equal the amount of flour available and the amount of sugar used must equal the amount of sugar available.
What is constraint ?When variables are employed in equations to simulate real-world scenarios, constraints must be applied to set limits and bounds on those variables. It's possible that some answers, while theoretically proving an equation correct, may not make sense in the context of a real-world word problem.
Here,
The following resource limitations apply to this issue: -
The amount of flour used must equal the amount of flour available.
The amount of sugar used must equal the amount of sugar available.
Explanation : As the flour is limited therefore the amount of flour used will become a constraint for this problem and similarly the amount of sugar available will become a constraint to amount of sugar used.
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Ms. Stewart is a teacher with 28 students. Every school day, Ms. Stewart prints out 2 pages of worksheets for each of them. There are 81 school days left in this school year. Ms. Stewart works out that she will need to print a total of 137 pages in this time. Does that sound about right?
Answer:
No, she would need to print out 4536 pages
Step-by-step explanation:
2 x 28 x 81 = 4536
Answer:
No, that does not sound right.
Ms. Stewart needs to print a total of 4,536 pages in this time!
Step-by-step explanation:
This situation is an example of ratios and proportions.
⭐What is a ratio?
a ratio is a fraction that compares 2 units⭐What is a proportion?
a proportion is when you set two ratios equal to each other to solve for a missing unitLet's set up the 1st ratio:
"Every school day, Ms. Stwewart prints out 2 pages of worksheets for each [student]"
1 student/2 pages
Let's set up the 2nd ratio:
"Ms. Stewart is a teacher with 28 students"
28 students/x pages
Now, we want to solve how many pages Ms. Stewart prints in a day for 28 students.
Thus, we need to set up a proportion with these 2 ratios.
Make sure the same units are on the numerator and denominator.
[tex]\frac{1}{2} = \frac{28}{x}[/tex]
Multiply LHS and RHS by [tex]\frac{1}{28}[/tex] to solve for x.
[tex]\frac{1}{2}(\frac{1}{28}) = \frac{28}{x}(\frac{1}{28})[/tex]
[tex]\frac{1}{56} = \frac{1}{x}[/tex]
∴ Ms. Stewart needs to print 56 worksheets for 1 day.
However, this isn't what the problem is asking us. We want to know how many worksheets Ms. Stewart needs to print for the coming school days.
To find out, we need to make another proportion. We only have 1 ratio so far: 56 worksheets/1 day, so we need to make another one for the coming school days.
Let's set up the 2nd ratio:
"There are 81 school days left in this school year."
y worksheets/ 81 days
Thus, we need to set up a proportion with these 2 ratios.
Make sure the same units are on the numerator and denominator.
[tex]\frac{56}{1} = \frac{y}{81}[/tex]
Multiply both sides by 81 to isolate y.
[tex]56(81) = \frac{y}{81}(81)[/tex]
[tex]y = 4,536[/tex]
∴ Ms. Stewart needs to print 4,536 worksheets for the next 81 days!
FILL IN THE BLANK. the___prompts the user to select a model, allowing the user to access the database and select data for the decision process or to set criteria for selecting such data.
The Dialog module prompts the user to select a model, allowing the user to access the database and select data for the decision process or to set criteria for selecting such data .
Given :
prompts the user to select a model, allowing the user to access the database and select data for the decision process or to set criteria for selecting such data.
Dialog module :
The dialog module provides dialog awareness for the Kamailio proxy. It's functionality is to keep track of the current dialog , to offer information about them .
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Triangles PQR and XYZ are similar triangles. Which are the other two angle measures of triangle XYZ?
The other two angle measures of triangle XYZ are 35° and 75°.
We are given that the triangles PQR and XYZ are similar.
Also, ∠ZXY = 70° and ∠PRQ = 35°.
Now, we know that when two triangles are similar, then the corresponding angles are same.
Therefore, ∠XZY = ∠PRQ = 35°
Now, in triangle XYZ, we have ∠XZY = 35° and ∠ZXY = 70°.
Since, we know that the sum of the angles of a triangle is 180°.
So, ∠XZY + ∠ZXY + ∠ZYX = 180°
i.e. 35° + 70° + ∠ZYX = 180°
i.e. ∠ZYX = 180° - ( 35° + 70° )
i.e. ∠ZYX = 180° - 105°
i.e. ∠ZYX = 75°
Hence, the other two angle measures of triangle XYZ are 35° and 75°.
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The answer is 35 and 75 which is A and C
Solve 0=5y2-60 , round your answer to the nearest hundredth
Answer: y=-3.46,3.46
Step-by-step explanation:
isolate y
5y^2=60
y^2=12
y=-3.46,3.46
what number is an element range of the equation y =2x – 7
for the domain of {4, 3, 2} ?
You have an element range of the equation y = 2x - 7 for the domain of 4, 3, 2 with values of -15, -13, and -11.
what is range ?The difference between the highest and lowest values in a set of numbers is known as the range. Subtract the lowest value in the distribution from the highest to determine it.
Between the lowest and greatest numbers, there is a range. In the example,{4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. The range then equals 9 - 3 = 6.
Here the explanation ,
The R domain xx.
R' is the range yy.
Y=2x7 is the equation of a line with slope m=2, and the domain and range of any line with m 0 and m are all real values.
The R domain xx. R is the range "y"
You have a range of -15, -13, and -11.
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prove: if a quadrilateral has consecutive angles that are supplementary, then it is a parallelogram.
A quadrilateral is a parallelogram if its adjacent angles are supplementary.
We are expected to demonstrate that a quadrilateral is a parallelogram if its adjacent angles are supplementary. Writing down what is given and needs to be supported will be our first step.
1) An ABCD quadrilateral is a given.
2) ∡A supplements ∡B, ∡B supplements ∡C, ∡C supplements ∡D and ∡D supplements ∡A.
To demonstrate: Parallelogram ABCD is a quadrilateral.
Consider AC and BD as evidence. The intersection of AC and BD is AB.
Two angles on the same side of the transversal AB are ∡A and ∡B.
A property states that two lines are parallel if a transversal cuts them and the interior angles on the same side of the transversal are additional.
Here, it is given that ∡A supplements ∡B.
⇒∡A+∡B=180∘
The lines AC and BD are therefore parallel to one another.
Now think about AB and CD. The intersection of AB and CD is AC.
Two angles on the same side of the transversal AB are ∡A and ∡D .
A property states that two lines are parallel if a transversal cuts them and the interior angles on the same side of the transversal are additional.
Here, it is given that ∡D supplements ∡A.
⇒∡A+∡D=180∘
The lines AB and CD are therefore parallel to one another.
Now, since both the pairs of opposite sides are parallel, ABCD is a parallelogram.
Hence proved.
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Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes.
John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts.
John's left side neighbor Linda will prepare one meat dish.
John's cross street neighbor Sue will prepare soup.
John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup).
Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
The different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup) is 720.
i) John Smith and his wife Mary Smith} ⇒ 3 different salads
and his daughter Judy Smith } dishes.
ii) John right side neighbor → 2 desserts.
iii) John left side neighbor → 1 meat dish.
iv) John cross street neighbor → 1 soup.
Total dishes = 3+2+1+1
= 6
# First time John has 6 choices to taste a dish ,
then 5 choices, then 4 choices , then 3 choices then 2 choices and finally one dish will left.
therefore, total different ways for him to taste :
= 6×5×4×3×2×1
= 720 ways.
Hence we get the required answer.
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16. Translate and solve the equation.
Seven less than twice a number is 15. Find the number.
A. O 12
B.11
C. 07
D. 22
Answer:
B) 11
Step-by-step explanation:
Let n = a number
2n - 7 = 15 Add 7 to both sides
2n - 7 + 7 = 15 + 7
2n = 22 Divide both sides by 2
[tex]\frac{2n}{2}[/tex] = [tex]\frac{22}{2}[/tex]
n = 11
Answer:
B. 11
Step-by-step explanation:
2a - 7 = 15
2a = 15 + 7
2a = 22
a = 22/2
a = 11
Check:
2*11 - 7 = 15
22 - 7 = 15
What is 96 = 10(x + 2) +6 ?
Our goal when we solve algebraic equations is always to isolate the variable. We can do this by performing inverse operations on the equation, cancelling out values.
Solving the Question[tex]96 = 10(x + 2) +6[/tex]
⇒ Subtract 6 from both sides:
[tex]90 = 10(x + 2)[/tex]
⇒ Divide both sides by 10:
[tex]9 = x + 2[/tex]
⇒ Subtract 2 from both sides:
[tex]x=7[/tex]
Answer[tex]x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
4. The monthly cost of Jazmine's cell phone plan is graphed on the grid below. Her friend Kiara selected a
plan that charges $0.25 per text, with no monthly fee, because she only uses her phone for texting.
Cost in Dollars
30
25
20
15
10
5
0 10 20 30 40 50 60 70 80 90 100
An equation to represent the monthly cost of Kiara's plan for any number of text messages she sent is c = 0.25x.
What is an equation?An equation is a mathematical statement proving that two or more mathematical expressions are equivalent or equal.
Equations are represented using the equation symbol (=).
Let the monthly cost of Kiara's plan = c
The unit cost per text = $0.25
The number of text messages sent per month = x
Thus, equation c = 0.25x represents Kiara's monthly cell phone cost.
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Question Completion:Write an equation to represent the monthly cost of Kiara's plan for any number of texts.
How do you teach regrouping to 2nd graders?
Answer:Pass out the pennies and the dimes to your students. Write a couple of problems on the board that will use regrouping. As you write them, write “ones” over the ones column. Write “tens” over the tens column. Have students take out their coins for each problem.
Step-by-step explanation:
What is the slope of 2y=6x+24
[(-2)³ x (126 ÷ 7)] +46
Answer:-98
Step-by-step explanation:
bc i said so ;)
Answer:
-98 is my answer
think about testing the significance of the regression slope. when the p-value is less than the significance level, we conclude that_____
The p - value is less than the significance level, we conclude that we must reject the null hypothesis .
Given :
think about testing the significance of the regression slope. when the p-value is less than the significance level, we conclude that.
A Hypothesis Test for a Regression Slope :
State the hypotheses.Determine a significance level to use.the test statistic and the corresponding p-value.you must decide reject or accept the null hypothesis .suppose the p - value less than the significance level we have evidence to reject the null hypothesis.
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Math- i don’t understand how to get the answer please help
A contractor bought 12 6 ft of sheet metal. He has used 2.3 ft so far and has $206 worth of sheet metal remaining. The equation 12.6x-2.3x=206 represents how much sheet metal is remaining and
the cost of the remaining amount How much does sheet metal cost per square foot?
Sheet metal costs $13x per square foot
Answer:
cost of the remaining amount How much does sheet metal cost per square foot?
Sheet metal costs $13x per square foot
Please help me with this!
The value for p is 9 and the equation is y = 9x.
What is the proportional relationship?
Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.
We have,
x y
4 36
8 72
12 108
A proportional relationship between x and y is p,
y = px
p = 36/4 = 9
p = 72/8 = 9
p = 108/12 = 9
Hence, the value for p is 9 and the equation is y = 9x.
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bonus question: the output variable of interest from a simulation model will be a variable. group of answer choices random independent discrete realistic
The output variable of interest from a simulation model will be a Discrete variable
Discrete variables can be counted in a finite amount of time. You can count the change in your pocket, for example.
You have access to the funds in your bank account. You could also count the money in each person's bank account. It may take you a while to count that last item, but the point is that it is still countable or number of students present. The quantity of red marbles in a jar.
According to the question,
The output variable of interest from a simulation model will be a discrete variable.
As output variable will take a counted value.
Hence , option (c) discrete is correct
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which of the following is equivalent to an odd function mcq
Therefore, the option (B) f(x) = [tex]x^{} +x^{3} +x^{5}[/tex] is an example of odd function in the mcq
What is function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). Functions are essential for building physical relationships in both math and science.
Here,
We can see ,
For (A), the function f(x)=f(x)f(x) is an even function.
For (B), f(x)=f(x), where f(x) is an unusual function.
For (C), f(x) is a function that is neither odd nor even.
For (D), f(x) is a function that is neither odd nor even.
Therefore, the option (B) is an example of odd function in the mcq
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Which of the following statements is true? (a) A triangle can have two rightangles (b) A triangle can have two obtuse angles (c) A triangle can have two acute angles(d) A triangle can have all the three angles less than 60°
The true statement is: A triangle can have two acute angles. So, the answer is option C.
The sum of two acute angles is always less than 180°, thus a triangle can have two acute angles.
Option A statement is false. A triangle cannot have two right angles. If the triangle has two right angles, the sum of angles of the triangle will be more than 180°, and this is not possible.
Option B statement is false. A triangle cannot have two obtuse angles. Obtuse angles are greater than 90°, so the sum of 2 obtuse angles is greater than 180°. If we include the third angle, the sum of all three angles would be even larger. So, it is not possible for a triangle to have 2 obtuse angles.
Option D statement is false. A triangle cannot have all the three angles less than 60°. If the triangle has all the angles less than 60°, the sum of the triangle will be less than 180°, and this is not possible.
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