Answer:
so it was in my textbook coincidenly here is a solution for that
Step-by-step explanation:
Since,
cos 200°
= 1/sec 200°
⇒ cos 200°
= 1/(-1.0641)
= -0.9397
Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3.
The volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3 is 12 cubic units.
To calculate the volume, we can use the formula V = l × w × h, where l = length, w = width and h = height.
The three faces lie on the coordinate planes, so we can use the equation x + 2y + 3z = 3 to find the coordinates of the vertex. We can solve for the values of x, y, and z and plug them into the formula.
We will use the substitution method:
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How many milligrams are present in one ounce of NaCl?
When converted to an equivalent measurement and using the same type of table salt, 1 oz (ounce) equals 28,349.52 mg (milligram).
Equivalence in mathematics refers to the idea that two measures are qualitatively comparable to one another, particularly in measure theory. The two measures specifically concur on the events that have measure zero. Eight liquid ounces make up one cup. In American recipes, volume measures rather than weight are typically provided for both liquid and solid ingredients. In spite of their outward variations, equivalent fractions convey the same value. If you have a cake, divide it into two equal pieces, and then eat one of the pieces, you will have eaten half of the cake. The mathematical idea of equivalent states that different terms and expressions with similar values are regarded identically.
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according to the binding change mechanism, the (⍺3β3 ) oligomer of atp synthase containing 3 catalytic sites can each have ________ different functional conformations.
Select one:
A. 3
B. 9
C. 6
D. 2
The (⍺3β3) oligomer of ATP synthase can have 3 different functional conformations.
How many functional conformations can the (⍺3β3) oligomer of ATP synthase have?The (⍺3β3) oligomer of ATP synthase, which consists of three α-subunits and three β-subunits, can exhibit three different functional conformations. These conformations are known as "open," "loose," and "tight" states. The binding change mechanism describes the sequential transition of the catalytic sites within ATP synthase as they alternate between these conformations, facilitating the synthesis of ATP.
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for this question what does x equal?
Answer:
Hi again lol. It is complementary so it would equal to 90. The equation is 6x+1+29=90
Step-by-step explanation:
6x+1+29=90
6x+30=90
6x=60
divide both by 6
x=10
Answer: 10
Hope that helped! :)
The time (in minutes) that it takes a mechanic to change oil has an exponential distribution with mean 20.
a) Find P(X < 25), P(X > 15), and P(15 < X < 25)
b) Find the 40th percentile
Using the exponential distribution formula:
(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704
(b) The 40th percentile is 29.15 minutes
a) Using the exponential distribution formula:
P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935
P(X > 15) = \(e^{(-15/20)}\) = 0.2231
P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704
b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:
0.40 = 1 - \(e^{(-x/20)}\)
Solving for x:
\(e^{(-x/20)}\)= 0.60
-x/20 = ln(0.60)
x = -20 ln(0.60) = 29.15
Therefore, the 40th percentile is 29.15 minutes.
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Identify the diameter of Q, given that A-169m in
The diameter of the circle is 26 in
Finding the diameter of the circle:To find the diameter of circle Q, we used the concept that the diameter of a circle is twice the radius.
We were given the area of the circle, and we used the formula for the area of a circle, A = πr², to find the value of the radius.
Once we found the value of the radius, find the diameter by finding twice the radius.
Here we have
Area of the Circle Q, A = 169π in²
Let r be the radius of the circle
Using the formula,
Area of the circle A = πr²
=> πr² = 169π
=> r² = 169
=> r = 13
Hence radius of the circle = 13
So diameter of the circle, d = 2r = 2(13) = 26 in
Therefore,
The diameter of the circle is 26 in.
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prove the following relations:cot²a-cos²a=cot²a cos
please help:((
Answer:
steps below
Step-by-step explanation:
It's easier to prove from right side to left side. If you insist to prove from left to right, you can just reverse the calculation from bottom to the top.
\(cot^{2} a * cos^{2}a \\= cot^{2} a * (1-sin^{2} a)\\= cot^{2} a - cot^{2} a*sin^{2} a\\= cot^{2} a - \frac{cos^{2} a}{sin^{2}a} *sin^{2} a\\= cot^{2} a - cos^{2} a\)
PLEASE HELP!!! Will mark brainliest
Answer:
\(-\frac{3}{2}\)
Or
-1.5
Step-by-step explanation:
we assign y1, y2, x2, and x1 according
(x1,y1)=(3,5)
(x2,y2)=(1,8)
Now we fill it into the formula
5-8/3-1
-3/2
Hopes this helps please mark brainliest
suppose that f is a periodic function with period 100 where f(x) = -x2 100x - 1200 whenever 0 6 x 6 100.
Amplitude of f -\(x^{2}\)+100x - 1200 is 350.
To find the amplitude of a periodic function, we need to find the maximum and minimum values of the function over one period and then take half of their difference.
In this case, the function f(x) is given by:
f(x) = -\(x^{2}\) + 100x - 1200, 0 ≤ x ≤ 100
To find the maximum and minimum values of f(x) over one period, we can use calculus by taking the derivative of f(x) and setting it equal to zero:
f'(x) = -2x + 100
-2x + 100 = 0
x = 50
So the maximum and minimum values of f(x) occur at x = 0, 50, and 100. We can evaluate f(x) at these values to find the maximum and minimum values:
f(0) = -\(0^{2}\) + 100(0) - 1200 = -1200
f(50) = -\(50^{2}\) + 100(50) - 1200 = -500
f(100) = -\(100^{2}\) + 100(100) - 1200 = -1200
Therefore, the maximum value of f(x) over one period is -500 and the minimum value is -1200. The amplitude is half of the difference between these values:
Amplitude = (Max - Min)/2 = (-500 - (-1200))/2 = 350
Therefore, the amplitude of f(x) is 350.
Correct Question :
suppose that f is a periodic function with period 100 where f(x) = -\(x^{2}\)+100x - 1200 whenever 0 ≤x≤100. what is amplitude of f.
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WILL GIVE BRAINLIEST DONT LOOK AT OTHER ANSWERS THEY ARRE WRONG
Answer:
The first choice, second choice, fifth choice are correct
Step-by-step explanation:
To get the first and second choices, you just need to count the number of boxes. For the fifth choice, you can see that the side lengths have been cut in half from the pre-image to image
A Researcher Reports The Following Results For A Chi-Square Test: C2 () = 5.39, P < .05 (V = 0.22). What Is The Maximum Number Of Levels That An
1
3
2
4
The maximum number of levels that an independent variable could have, based on the given results for a Chi-square test is 2.
A Chi-square test is a statistical hypothesis test used to determine if there is a significant difference between the expected frequencies and the observed frequencies in one or more categories of a contingency table. To be more specific, a chi-square test for independence is utilized to determine whether there is a significant association between two categorical variables. A chi-square test for independence may be used to determine if there is a significant association between the independent and dependent variables in a study. Here is the interpretation of the given Chi-square test result: C2 () = 5.39
The chi-square statistic has a value of 5.39.P < .05 (V = 0.22)The chi-square statistic is significant at the p < 0.05 level. The correlation coefficient (phi coefficient) between the variables is 0.22.
The maximum number of levels that an independent variable could have, based on the given results for a Chi-square test is 2. This is because a chi-square test of independence examines the relationship between two variables that are both categorical. So, the independent variable, which is the variable that is expected to affect the dependent variable, must have two levels/categories when using a chi-square test for independence.
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consider individuals a and b from generation 4 - if they were to have children and their first child has the disease, what is the probability that their second child will be unaffected?
The probability that their second child will be unaffected is 3/4.
Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. Probability is calculated by the formula:
P(E) = number of possible outcomes / total number of outcomes
The disease PKU known as Phenylketonuria is a rare inherited disorder. If the mother and father had and passed on the changed gene, then the child can inherit PKU. This is known as autosomal recessive.
The child to be affected by PKU, has to be aa. So, the first child who has the disease is aa. The unaffected child i.e. the second child is AA and Aa.
Here, the number of possible outcomes = 3 and total number of outcomes = 4
P(E) = 3 / 4
= 0.75
Therefore, the probability that the second child will be unaffected is 75%.
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please tell me the right answer
Solve the inequality and write the solution in interval notation:
k/-12 ≤ 15.
A square has a perimeter of 100m. what is the length of each side?
Answer:
25m
Step-by-step explanation:
The perimeter of a square= 4L (L=length of the side)
so L=perimeter /4
=100/4=25m
How many times larger is (1.008 × 101) than (6 × 10−1)?
A truck frame is 3/16 inch thick. The crossmember is 13/64 inch thick. How much stock is drilled to pierce both pieces
The denominator is the bottom part of a fraction or ratio. It represents the total number or quantity that the numerator is being divided by or compared to. It provides context and scale for the value being expressed.
To find out how much stock is drilled to pierce both pieces, you need to add the thickness of the truck frame and the crossmember. Then, you can use that sum to determine how much stock needs to be drilled to pierce both pieces.
The thickness of the truck frame is given as 3/16 inch and the thickness of the crossmember is given as 13/64 inch. To add these fractions, you need to first find a common denominator, which in this case is 64.
So, 3/16 can be converted to 24/64 and 13/64 is already in the correct format. Adding these fractions gives:
24/64 + 13/64 = 37/64
Therefore, the combined thickness of the truck frame and crossmember is 37/64 inch. This is how much stock needs to be drilled to pierce both pieces.
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A square shaped classroom is replacing its
floor tiles. If 19 tiles make up each side of the
classroom, how many total tiles willihey need
to buy? If each tile costs $5.95, how much will
it cost to replace the tiles?
Answer:
361 tiles and $2,147.95
Step-by-step explanation:
19x19 to find tile area
361 x 5.95 to find cost
an owner obtained a loan of $60,000 from a bank in exchange for a promissory note secured by a mortgage on his land, which the bank promptly and properly recorded. a few months later, the owner obtained another loan of $60,000 from a lender, in exchange for a promissory note secured by a mortgage on the land, which the lender promptly and properly recorded. subsequently, the owner sold the land to a buyer for $150,000 and conveyed a warranty deed. the buyer expressly agreed with the owner to assume both mortgages, with the consent of the bank and the lender. a few years later, the bank loaned the buyer an additional $50,000 in exchange for an increase in the interest rate and principal amount of its mortgage on the land. at that time, the balance on the original loan from the bank was $50,000. shortly thereafter, the buyer stopped making payments on both mortgages and disappeared. after proper notice to all appropriate parties, the bank instituted a foreclosure action on its mortgage, and purchased the property at the foreclosure sale. at that time the principal balance on the lender's mortgage loan was $50,000. after fees and expenses, the proceeds from the foreclosure sale totaled $80,000.
Based on the scenario you provided, it seems like the following events occurred:
The owner obtained a loan of $60,000 from a bank and secured it with a mortgage on his land.
The owner obtained another loan of $60,000 from a lender and secured it with a mortgage on the same land.
The owner sold the land to a buyer for $150,000 and the buyer agreed to assume both mortgages with the consent of the bank and the lender.
The bank loaned the buyer an additional $50,000, which was added to the principal amount and interest rate of its original mortgage.
The buyer stopped making payments on both mortgages and disappeared.
The bank initiated a foreclosure action on its mortgage and purchased the property at the foreclosure sale.
The proceeds from the foreclosure sale totaled $80,000 after fees and expenses.
Since the bank's mortgage was recorded first, it has priority over the lender's mortgage. Therefore, when the property was sold at the foreclosure sale, the proceeds were used to pay off the bank's outstanding balance of $50,000 first. The remaining $30,000 was then applied to the lender's mortgage, leaving a balance of $20,000.
However, since the buyer disappeared and did not pay the remaining balance on the lender's mortgage, the lender may still be able to pursue legal action to recover the remaining debt from the buyer. It is also possible that the lender could try to recover the debt from the owner who sold the property, depending on the terms of the mortgage agreement.
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Please show all work and
keep your handwriting clean, thank you.
263. The differential equation y = x - y is separable.
265. You can determine the behavior of all first-order differential equations using directional fields or Euler's method.
For problem 263, to solve the separable differential equation y = x - y, we need to separate the variables y and x, then integrate.
y + y = x
2y = x
y = x/2 + C
where C is the constant of integration.
For problem 265, we can use directional fields or Euler's method to determine the behavior of first-order differential equations. Directional fields provide a graphical representation of the slopes of solutions at different points, while Euler's method is a numerical technique for approximating the solution at discrete points. Both methods can be used to estimate the behavior of a solution, but Euler's method is more suitable for nonlinear equations or when an exact solution is not available.
263: The given differential equation is y = x - y. To show that it's separable, rewrite it as y + y = x. Now, we separate the variables: (1 + 1/y)dy = dx. Integrating both sides, we get ∫(1 + 1/y)dy = ∫dx, which confirms the equation is separable.
265: For first-order differential equations, analyzing behavior can be done using directional fields (also known as slope fields) or Euler's method. Directional fields provide a visual representation of the solution curves, while Euler's method offers a numerical approximation of the solution.
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Graph the function.
5. g(x) = 3(x - 2)
10
8
03
N
2 4
6
8 10
10 8 6 4 2
-2
44
-6
-8
-101
Answer:
10 8 6 4 2 hope that helps
Triangle ABC has perimeter 20 cm.
AB = 7 cm.
BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
You have an obtuse, scalene triangle, so no :)
Step-by-step explanation:
Side a = 4
Side b = 9
Side c = 7
Angle ∠A = 25.209° = 25°12'32" = 0.43998 rad
Angle ∠B = 106.602° = 106°36'6" = 1.86055 rad
Angle ∠C = 48.19° = 48°11'23" = 0.84107 rad
Answer:
Triangle ABC is not a right-angle triangle.
Step-by-step explanation:
perimeter of the triangle: 20cm
AB=7cm and BC=4cm.
We can do the third length (AC) by subtracting the known lengths from the perimeter: 20 - 7 - 4 = 9
Therefore, the length AC is 9.If
ABC were a right angle triangle, we'd be able to use Pythagoras's Theorem to work out the length AC.
AC is the hypotenuse of the triangle because it is the longest length.
a2 + b2 = c242 + 72 = 16 + 49 = 65
Where AC = c, c2 = 65 If c = 9, then c2 = 81, however when using Pythagoras, c2 = 65.
I hope this helps. I am sorry if you get this wrong.
A line that intersects a circle in exactly one point.
a. secant
b. tangent
c. segment of a circle
d. sector of a circle
(Please help will mark Brainliest)
The scale factor is ____. Write your answer as a whole number or simplified fraction (improper is fine, but otherwise it should be in simplest form). Use the “/” key to separate the numbers; for example: 5/4
Answer: 3/2
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that Y'X'=3 and YX=2, so the scale factor is 3/2.
Find the surface area of the square pyramid. Next, find the area of the square base. Area of the 4 triangles: 280 cm² Area of the square: [?] cm² 10 cm 14 cm 10 cm
Answer:
Area of the square base = 100cm²
Surface area of square pyramid= 380cm²
Step-by-step explanation:
Area of the square base= L × L
= 10cm × 10cm
= 100cm²
The surface area of square pyramid= Area of the base + Area of the triangles forming the pyramid.
= 100cm² + 280cm²
Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. How many games had he rented?
Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. he played games had he rented 82 games.
What are mathematical operation?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
A set of numbers and operations make up a mathematical expression. The components of a mathematical expression that performs an operation are:
Operands: Operands are the numerical values that are employed in an operation. Different words are given to the operands depending on the type of operation.
Operator: An operator is the symbol used to represent a mathematical operation.
+ for the addition− for the subtraction× for the multiplication÷ for the division = for the equal to, indicates the equivalence, that is the left hand side value is equal to the right hand side value.Solving the above;
Membership costs him= $50
Per game rented= $3
Amount he spent = $296
Therefore, Number of games he rented=\(\frac{296-50}{3}\)
= 82
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witch is the simplified form of the expression? 14n- 1/4 (8 +12)
12n- 3
12n + 12
10n-3
2n + 3
What is the y-intercept form, slope + x-intercept
8x - 4y = -4
The slope - intercept form of equation is,
⇒ y = 2x + 1
We have to given that;
Equation of line is,
⇒ 8x - 4y = - 4
Now, We can change it into slope - intercept form as;
⇒ 8x - 4y = - 4
⇒ 8x + 4 = 4y
⇒ 4y = 8x + 4
⇒ y = 2x + 1
Hence, We get;
Slope = 2
y - intercept = 1
Thus, The slope - intercept form of equation is,
⇒ y = 2x + 1
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