Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answers
Related Questions
Write an equation in point-slope form for the line with the given slope
that contains the given point.
slope 3; (4, 2)
Answers
Answer:
[tex]y-2=3(x-4)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 3 and passes through (4, 2). We want to write this equation in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point.
SolvingWe can substitute what we know into the equation.
First, substitute 3 as m.
[tex]y-y_1=3(x-x_1)[/tex]
Now, substitute 4 as [tex]x_1[/tex] and 2 as [tex]y_1[/tex].
[tex]y-2=3(x-4)[/tex]
Why are their bad people in the world?
Answers
find the x-intercepts of the parabola with vertex(6,27) and y-intercept (0,-81). write answer in form (x1,y1)(x2,y2). if necessary ,round to the nearest hundredth .
Answers
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
Answer:
(8.33) , (236.67)
Step-by-step explanation:
This is correct
Find the value of the coefficient of
1/x
in the expansion of (2x −
1/x )^5
. ...?
Answers
the genaral term is 5Cr(-1)^r 2^r x^(5-2r)
and so need 5-2r = -1 => r = 3
Coeff is then 5C3 (-1)^3 2^3 = -80
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Final answer:
To find the coefficient of 1/x in the expansion of (2x - 1/x)^5, we use the binomial theorem, specifically the term where the exponent of x is -1. We find that the coefficient of 1/x is -80.
Explanation:
To find the coefficient of 1/x in the expansion of (2x - 1/x)^5, we can use the binomial theorem. The binomial theorem states that:
(a + b)^n = Σ (n choose k) a^(n-k) b^k
where 'n choose k' is the binomial coefficient, computed as:
n! / [(n-k)!k!]
In our case, a = 2x and b = -1/x, and we want the term where the power of x is -1, which occurs when k = 4:
(5 choose 4) (2x)^(5-4) (-1/x)^4 = 5 * 2 * 1 * 1/x^4 = 10/x^4
However, to get the term with 1/x, we need a positive power of 1 for x. We achieve this when k = 1:
(5 choose 1) (2x)^(5-1) (-1/x)^1 = 5 * 16x^4 * (-1/x) = -80
Therefore, the coefficient of 1/x in the expansion is -80.
The price p of a pizza is $6.95 plus $.95 for each topping t on the pizza
Answers
If the integral of f(x)dx = 2.3 from 1 to 3 and F'(x) = f(x), what is the value of F(3) - F(0). The graph will be inserted as a picture. ...?
Answers
so it looks like 2.3+1=3.3
Probability with Huntington's disease?
Huntington disease is a rare degenerative human disease determined by a dominant allele, HD. The disorder is usually manifested after the age of 45. A young man has learned that his father has developed the disease; his mother does not have the disease (and does not carry to HD disease allele).
What is the probability that the young man will later develop the disease?
If the young man has a child with a woman who does not carry the HD disease allele, what is the probability that their first child will be affected by Huntington disease as ...?
Answers
The young man has a 50% chance of developing Huntington's disease, as he can inherit the HD allele from his father. Similarly, if he carries the HD allele and has a child with a woman who does not carry the HD allele, their child has a 50% risk of inheriting and developing the disease.
Explanation:Huntington's disease is associated with genetics and can be passed from parents to offspring. If this young man's father suffers from the condition due to a dominant allele, HD, and his mother does not carry the HD allele, he has a 50% chance of inheriting and later developing the disease. This probability arises because the offspring inherits one allele from each parent.
If the young man has a child with a woman who does not carry the HD disease allele, the child's risk of developing the condition depends on whether the father carries the HD allele. If the father does not carry the HD allele, the probability that their first child would be affected by Huntington's disease is 0%. If the father does carry the HD allele, the risk would be 50% as the child will inherit one allele from the each parent (one from the father who might have HD and one from the mother who does not carry the HD allele).
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Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7).
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To find the standard form equation of a hyperbola with given vertices and foci, calculate the values of a and b using distances from the origin, and then insert into the standard form equation (y²/a²) - (x²/b²) = 1. The final equation for the hyperbola with vertices at (0, ±2) and foci at (0, ±7) is 45y² - 4x² = 180.
To find the equation of a hyperbola in standard form, we need the vertices and the foci. Given that the vertices are at (0, ±2), we know that the hyperbola is vertical, and the distance between the vertex and the center, which is the origin, is 2 units, so a=2. Since the foci are at (0, ±7), the distance from the center to a focus is 7 units, which means c=7.
With these values, we can calculate b by using the relationship c² = a² + b². Plugging in the known values gives us 7² = 2² + b², so b² = 49 - 4 = 45. Therefore, b = √45.
The standard form equation of a vertical hyperbola with a center at the origin is (y²/a²) - (x²/b²) = 1. Replacing a and b with the found values, the equation becomes (y²/4) - (x²/45) = 1. Multiplying through by 180, which is the least common multiple of 4 and 45, we get the equation in standard form: 45y² - 4x² = 180.
What is the solution to the following of equations {5x-3y=34 x-2y=4?
Answers
x - 2y = 4....multiply by -5
---------------
5x - 3y = 34
-5x + 10y = -20 (result of multiplying by -5)
--------------add
7y = 14
y = 14/7
y = 2
x - 2y = 4
x - 2(2) = 4
x - 4 = 4
x = 4 + 4
x = 8
solution is (8,2)
5x-3y = 34 - (2)
In equation (1), x = 4+2y
Now, substitute it in equation (2),
5(4+2y)-3y = 34
20+10y-3y = 34
20+7y = 34
7y = 14
y = 2
Now, substitute in equation (1),
x-2(2) = 4
x-4 = 4
x = 4+4 = 8
So, x=8 & y=2
the perimeter of a rectangle is twice the sum of its length and width. The perimeter is 34 meters and its length is 2 meters more than twice its width. What is its length? ...?
Answers
The perimeter (P) of a rectangle is twice the sum of its length (l) and width (w):
P = 2(l + w)
P = 34
⇒ 2(l + w) = 34
⇒ l + w = 34/2
⇒ l + w = 17
Length is 2 meters more than twice its width: l = 2w + 2
Now we have the system of equations:
l + w = 17
l = 2w + 2
_________
Use the substitution method and substitute l from the second equation into the first equation:
2w + 2 + w = 17
2w + w = 17 - 2
3w = 15
w = 15/3
w = 5
Now, substitute w into the equation:
l = 2w + 2
l = 2 * 5 + 2
l = 10 + 2
l = 12
Which is greater 0.12 or 1.2?
Answers
1.2 = 1 1/5
0.12 is less the 1
how to factor x3-x2-4x-4
Answers
x (x² - x - 4) -4
Can also be written as:
(x² - 4) (x - 1)
The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x=1. Which equation can be used to find the value of x?
Answers
To solve for x, given that the perimeter of a square is equal to the perimeter of an equilateral triangle, the equation 4x = 3(x + 1) can be used.
Explanation:To find the value of x when the perimeter of a square is equal to the perimeter of an equilateral triangle, we set up an equation. Since the side of the square is given by x, and the perimeter of a square is 4 times the length of a side, the perimeter of the square is 4x. The length of a side of the equilateral triangle is given by x + 1, and since the perimeter of the equilateral triangle is 3 times the length of a side, its perimeter is 3(x + 1). Setting these two perimeters equal to each other gives us the equation 4x = 3(x + 1).
write the area A of a square as a function of its perimeter P. ...?
Answers
The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s
The area A of a square with side s is: A = s * s = s²
Step 1: Solve s from the formula for the perimeter.
Step 2: substitute s from the formula for the perimeter into the formula for the area.
Step 1:
P = 4s
s = P/4
Step 2:
A = s²
s = P/4
A = (P/4)²
A = P²/4²
A = P²/16
Final answer:
The area of a square as a function of its perimeter is A = (P/4)².
Explanation:
The area of a square can be represented as a function of its perimeter. Let's say the side length of the square is a. The perimeter of the square is given by P = 4a. So, to write the area A as a function of the perimeter P, we can use the formula:
A = (P/4)²
Jeans costs $15 each and shirts costs $9 each. You have at most $90 to spend clothing. You must purchase at least 3 pairs of jeans. Let x be the amount of jeans purchased and y be the amount of shirts purchased. What is a possible solution?
(4,-5)
(4, 5)
(4,2)
(2,4)
Answers
(4, -5)
We buy the required 3 pairs of jeans but you cannot buy negative amount of something so that is wrong
(4, 5)
We buy the required 3 pairs of jeans but the total price is 4*$15 = $60 + 5*$9 = $45 = $105 which is $15 too much
(2, 4)
We do not buy the required pairs of jeans, therefore this answer is incorrect as well
Finally we are left with (4, 2)
- We buy the required 3 pairs of jeans
- And the total price is $78, $12 less than the maximum amount of money we can spend
Bonus: If we wanted, we could buy another shirt and still be left with $3
Answer: 4,2 is the correct answer
Step-by-step explanation:
Is the relation a function? {(14, 9), (15, 8), (8, 7), (1, 9), (15, 2)}
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A kite is flying on the end of a 300-ft string. The kite string makes a 65 degree angle with the ground. How far above the ground the kite?
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The main tank has a radius of 70 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number.
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[tex]V = \frac{4}{3} * \pi * r^{3} [/tex]
where r is that radius
Because we need quarter sized tank of that radius we need to divide formula for volume by 4
Than we get:
[tex]V = \frac{1}{3} * \pi * r^{3} [/tex]
V = 359188,76
Rounded:
V = 359189
The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars on advertising is
P= -(1/10)s^3 + 6s^2 + 400
Find the amount of money the company should spend on advertising in order to yield a maximum profit
Answers
P=(−1/10)s^3+6s^2+400dP/ds=(−3/10)s^2+12s
Find the stationary point(s):
0=(−3/10)s^2+12s0=−3s^2+120s0=−3s(s−40)
So our stationary points are 0 and 40.
Going back to the original formula, zero advertising gives us a profit of $400K (read the instructions carefully to understand why it's 400,000) while $40K in advertising gives us a profit of -64,000 + 9600 + 400 = -$54,000K
So, surprisingly, the company should not spend anything on advertising...
To find the maximum profit, take the derivative of the profit function and set it equal to zero, then solve for s. This gives the advertising spend that yields the maximum profit.
Explanation:To find the amount of money the company should spend on advertising in order to yield a maximum profit, we first need to find the derivative of the profit function P(s) = -(1/10)s^3 + 6s^2 + 400. The derivative, P'(s), gives the rate of change of profit with respect to advertising spending.
The derivative of the function is P'(s) = -(3/10)s^2 + 12s. We find the maximum of the function by setting the derivative equal to zero and solving for s.
Setting P'(s)=0 we get: -(3/10)s^2 + 12s = 0
Solving this equation will provide the advertising spend for maximum profit.
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In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?
A. Two angles and a side
B. All three angles
C. Two sides and one angle
D. The area of the triangle ...?
Answers
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any shaped triangle to the sines of its angles.
Answer:
We must have two angles and a side.
A is the correct option.
Step-by-step explanation:
For any triangle ABC, the law of sine is given by
[tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]
From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.
Let us understand this by assuming that we need to find a (length of the side). From the formula, we have
[tex]\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}[/tex]
Thus, to find the length a, we must have b, sin A and sin B.
Hence, o find the length of the side of the triangle, we must have two angles and a side.
How many different strings can be made from the letters in MISSISSIPPI, using all the letters and having no consecutive S's? ...?
Answers
Since there are 1 "M", 4 "I"s, 4 "S"s, 2 "P"s : totally 11 letters, we can get the final answer:11! / ( 1! * 4! * 4! * 2! ) = 34650
Therefore, the answer would be 34650 different strings can be made from the letters of MISSISSIPPI, using all the letters having no consecutive S's. Hope this answer helps.
A fisherman rows up stream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row in the whole trip in 7 hours?
Answers
6 miles = 1 hour downstream
In seven hours: 4mi (7hr) = 28mi upstream + 6mi (7hr) = 42mi downstream
Added together: 28+42=70mi total.
By setting the upstream and downstream distances equal and solving for the time rowed upstream, we find that the fisherman rowed 4.2 hours upstream and 2.8 hours downstream. Since he rowed back to his starting point, the total distance rowed upstream and downstream is the same, amounting to 33.6 miles for the entire trip.
To solve this problem, we need to determine how much time the fisherman spent rowing upstream and downstream. Let's call the upstream speed U, which is 4 mph, and the downstream speed D, which is 6 mph. He rows for a total of 7 hours. Let's call the time spent rowing upstream T and the time spent rowing downstream (7 - T) since the entire trip takes 7 hours.
Since distance equals rate times time, the upstream distance will be U × T and the downstream distance will be D × (7 - T). Because the fisherman returns to his starting point, the upstream and downstream distances are equal.
Setting them equal gives us the equation:
4T = 6 (7 - T)
Solving for T gives us:
T = 42 / 10 = 4.2 hours
Hence, the time spent rowing downstream is 7 - 4.2 = 2.8 hours.
To find the total distance rowed, we use the downstream distance (since it's equal to the upstream distance) which is calculated as:
Distance = D × (7 - T) = 6 × 2.8 = 16.8 miles
Therefore, the fisherman rowed a total of 16.8 miles upstream and 16.8 miles downstream, summing up to 33.6 miles for the entire trip.
Which transformations map the strip pattern onto itself?
dP dP dP d
a horizontal translation and a 180° rotation
a horizontal translation and a reflection across a vertical line
a horizontal translation and a glide reflection
a horizontal translation only
Answers
A horizontal translation and a reflection across a vertical line is the map that has a strip pattern onto itself.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
a horizontal translation and a glide reflection
Step-by-step explanation:
Determine whether the graphs of the given equations are parallel, perpendicular, or neither
y=x+11
y=-x+2
A.Parallel
B.Perpendicular
C.Neither
Answers
Keywords
parallel, perpendicular, graphing, linear equation, slope, lines
we know that
If two lines are perpendicular, then the product of their slope is equal to minus one
so
[tex]m1*m2=-1[/tex]
If two lines are parallel, then their slope are equal
[tex]m1=m2[/tex]
In this problem we have
[tex]y=x+11[/tex] --------> linear equation A
the slope is [tex]m1=1[/tex]
[tex]y=-x+2[/tex] --------> linear equation B
the slope is [tex]m2=-1[/tex]
Find the product
[tex]m1*m2=-1[/tex] ---------> the lines are perpendicular
therefore
the answer is the option B
Perpendicular
using a graphing tool
see the attached figure
Answer:
Perpendicular
Step-by-step explanation:
Given are two equations as
[tex]y=x+11\\y=-x+2[/tex]
We have to find whether these two are parallel or perpendicular or neither
For this first we have to find the slope of these two lines
I line slope = 1
II line slope =-1
Since slopes are not equal, the lines are not parallel.
Let us check product of these slopes. IF product =-1 the lines are perpendicular
We find that product = [tex]1*-1=-1[/tex]
Hence two lines are perpendicular
Why would you want to solve a literal equation for a variable when you could simply plug in known values and then solve the resulting linear equation?
Answers
Solving literal equations for a variable is beneficial for finding general solutions that apply to multiple situations, saves time by avoiding repetitive calculations, and reduces potential errors when working with complex numbers.
Why Solve Literal Equations for a Variable
Solving a literal equation for a variable is fundamental in mathematics because it allows one to find a general solution that can apply to various situations. Instead of replacing a variable with a given number each time, which can be time-consuming and error-prone especially when dealing with long decimals and complex fractions, working with no numbers—just variables—simplifies the process. Having found the values that make the equation true, one can easily convert words to an algebraic expression or equation that best models a given problem. This results in the ability to find a solution more swiftly and with less room for error.
For example, in computer programs, solutions to equations are frequently required for multiple sets of input values. Algebraically solving an equation provides a general form that can easily be reused with different inputs, saving substantial time and resources. Additionally, in complex problems involving multiple unknowns, solving for one variable in terms of others can lead to a simplified equation, making it easier to solve the problem.
Angie and kenny play online video games. angie buys 1 software package and 1 month of game play. kenny buys 1 software packages and 5 months of game play. each software package costs $20. if their total cost is $154 what is the cost of one month of game play? the cost of one month of game play is ______
Answers
So, (after all of that babbling) one month of gameplay cost $19
1.There are 10 kids running a race. How many ways are there for them to come in first, second, and third place?
2.In a drawing, a jar holds the numbers 1 to 8. If you draw three numbers to form a three-digit number (without replacement), what is the probability you will draw 135?
Answers
There are 720 ways for them to come in first, second and third place.
2. Probability = 1/8 x 1/7 x 1/6 = 1/336
The probability is 1/336 or 0.002976.
Answer:
1: 720
2: [tex]\frac{1}{336}[/tex]
Step-by-step explanation:
1: There are 10 kids in a race so the number of ways such that they come first , second and third=10×9×8
=720
(since the first place is occupied by any one of the ten students i.e. we have ten choices after occupying first position there are only 9 students left for second position and after occupying second for the third position only 8 choices are left)
2: We have to find the probability such that there is no replacement such that we draw 135.
for the first position we have to find the probability([tex]P_{1}[/tex]) that '1' comes out of 8 numbers=[tex]\frac{1}{8}[/tex]
similarly for second choice we could not take 1 as there is no replacement
so probability that 3 comes([tex]P_{2}[/tex]) =[tex]\frac{1}{7}[/tex]
similarly probability that 5 comes at third position([tex]P_{3}[/tex]) = [tex]\frac{1}{6}[/tex]
hence, probability that 135 is drawn= [tex]\frac{1}{8}\times\frac{1}{7}\times\frac{1}{6}=\frac{1}{336}[/tex]
A lake was stocked with 80 trout, 20 bass, 70 walleye and 30 catfish. What is the probability that a fisherman catches a trout first then a second trout.
Answers
The probability of a fisherman catching a trout first and then a second trout from this lake is 0.158.
Explanation:The subject of this question pertains to the field of probability in mathematics and requires an understanding of fundamental concepts related to this topic.
The total number of fish in this lake is 200 (80 trout + 20 bass + 70 walleye + 30 catfish). The probability of catching a trout first can be calculated by dividing the number of trout by the total number of fish, which is 80/200 = 0.4. After catching the first trout, there are now 79 trout left, and the total number of fish is 199. Therefore, the probability of catching a second trout is 79/199. To find the overall probability of both events happening, we multiply the probabilities of each individual event:0.4 x (79/199) = 0.158.
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What is the point in the middle of a circle called?
A. Radius
B. Center
C. Circumference
D. Epicenter
Answers
Answer:
center
Step-by-step explanation:
The point in the middle of a circle called, B. Center
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know, The largest chord that passes through the center of a circle is called a diameter.
All the other line segments that can be drawn with endpoints touching the circumference of a circle are called chords.
The radius is half the length of the largest chord(diameter).
A circle is defined as if we fix a point and mark points in a plane such that each point is equidistant from that fixed point a circle will be formed.
That fixed point is called the center of a circle.
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How to write 7 95/125 as a decimal?