Answer:
\( \huge \boxed{ \sf{ \{ 0 \} }}\)
Step-by-step explanation:
Given :\( \sf{A} \: = \: \) { -6 , 0 , 6 }
\( \sf{B} \: = \){ -1 , 0 , 1 }
To find :A ∩ B
Solution :A ∩ B = { -6 , 0 , 6 } { -1 , 0 , 1 }
A ∩ B = { 0 }
Remember : In case of intersection , the common element of two sets A and B should be listed in a single set. So, the intersection of sets A and B is the set of all elements which belong to both A and B. The intersection of sets A and B is denoted by ( A ∩ B ) and read as A intersection B.
Hope I helped!
Best regards! :D
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11) 54% of 35 is what?
Answer:
18.36
Step-by-step explanation:
g00gle says so
Answer:
18.9
I hope this helps!
if none of these structures will allow the flying crow to break the walnut without it being stolen, the crow must fly away to another location. given that the average crow can take off from a standing position at a speed of 19 feet per second, what should the flying crow do? explain your answer.
Answer: Based on the information given, it seems like the crow is unable to break open the walnut in its current location without it being stolen. To overcome this problem, the best solution would be for the crow to fly away to another location where it can safely break open the walnut. With a take-off speed of 19 feet per second, the crow should be able to quickly reach a new location where it can safely open the walnut.
Step-by-step explanation:
BRAINIEST AND 10 POINTS
Answer:
-0.7
Step-by-step explanation:
just solve it.....
there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
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type the missing numbers
Answer:
-5, -2, and 0
Step-by-step explanation:
What is the value of k in the function f(x)=2-k/5x-k if it passes through the point (3,-2/19)
The value of k from the equation is k = 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( 2 - k ) / ( 5x + k ) be equation ( 1 )
Now , the equation passes through the point P ( 3 , -2/19 )
On simplifying the equation , we get
Substituting the values of x and y in the equation , we get
y = ( 2 - k ) / ( 5 ( 3 ) + k ) )
-2/19 = ( 2 - k ) / ( 15 + k )
Multiply by ( 15 + k ) on both sides of the equation , we get
-2 ( 15 + k ) / 19 = 2 - k
Multiply by 19 on both sides of the equation , we get
-30 - 2k = 38 - 19k
Adding 2k on both sides of the equation , we get
38 - 17k = -30
Subtracting 38 on both sides of the equation , we get
17k = 68
Divide by 17 on both sides of the equation , we get
k = 4
Hence , the value of k = 4
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what is the variable "d" equal to in the equation 2d + 13
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
2 + 4 - 4 ( 3 x 6 ) x 4 - 2 + 1
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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1) Is F increasing on the interval (2.10)? 2) List the interval(s) on which F is increasing. Justify your answer. 3) List the intervalis) on which F is decreasing Justify your answer. 4)List the value(s) of x at which has a local maximum. Justify your answer.5) List the value(s) of x at which F has a local minimum. Justify your answer. 6) Find the X -intercepts 7) Find the Y-intercepts.
1)
in the interval (2,5) decreases and then increases , but We cant say that it is growing since it had a fall in the middle, so isnt increasing
2)
(-8,-2) (0,2) (5,10)
It is increasing because, from left to right, it comes from a low point to a higher point
3)
(-10,-8) (-2,0) (2,5)
It is decreasing because, from left to right, it comes from a high point to a lower point
4)
x=-2 and 2
are the highest values of the function
5)
x=-8, 0 and 5
are the lowest values of the function
6)
x=-5, 0 and 5
values where y = 0, therefore intersects the x axis
7)
y=0
values where x = 0, therefore intersects the y axis
What is the slope of a line that passes through the point (-1, 1) and is parallel to a line that passes through
(3, 6) and (1, -2)?
Answer:
4
Step-by-step explanation:
slope of the line that passes through the points (3, 6) and (1, -2)
= \(\frac{y2-y2}{x2-x1}\)
= \(\frac{-2-6}{1-3}\)
= \(\frac{-8}{-2}\)
= 4
the two lines are parallel.
therefore, the slope of the line that passes through the point (-1, 1) is 4.
1. A random sample of 25 customers for lunch at a local restaruant stayed an average of 45 minutes with a standard deviation of 10 minutes. Another random sample of 30 customers for dinners at this restaurant stayed an average of 55 minutes with a standard deviation of 15 minutes. Determine a 95% confidence interval for the difference of the mean time that the customers stayed for lunch and for dinner.
a. (3.35, 16.65) b. (3, 17) c. (3.06, 16.94) d. (-3.35, 16.62) e. (-3, 17)
A 95% confidence interval for the difference of the meantime that the customers stayed for lunch and for dinner the correct option is option a (3.35, 16.65).
Given:
The number of random customers n1 = 25
The number of random customers n2 = 30
x1 = 45, x2 = 55
σx1 = 10, σx2 = 15
Zα12 = Z0.025 = 1.96
95% confidence interval,
= {(x2-x1) ± Zα12 [(σx1)^2/n1 + (σx2)^2/n2]^0.5}
= {(55-45) ± 1.96 [\(10^{2}\)/25 + \(15^{2}\)/30]^0.5}
= {10 ± 1.96(4 + 7.5)^0.5}
= {10 ± 1.96(11.5^0.5)}
= {10 ± 1.96(3.3911)}
= {10 ± 6.6466}
=> (10-6.6466, 10 + 6.6466)
=> (3.35, 16.65)
So, the correct option is a (3.35, 16.65) for the difference of the meantime.
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Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;
point-slope form
A)y=-4x-10
B)y-2=-1/4(x-2)
C)y-2=1/4(x+2)
D)y-2=1/4(x-2)
Answer:
B) y - 2 = (-1/4)(x - 2)
Step-by-step explanation:
Start with the equation of the given line: y = 4x + 7.
Determine the slope of the given line, which is 4.
Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.
Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).
Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.
Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.
Simplify further: y = (-1/4)x + 5/2.
The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.
Please solve this with clear steps!!!!! 20 POINTS
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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6x2 + 14 - 10x
What is the value of the expression when x = 5?
A.
170
B.
24
C.
114
D.
864
\(\lsrge\text{Hey there!}\)
\(\mathsf{6x^2 + 14 - 10x}\\\mathsf{= 6(5)^2 + 14 - 10(5)}\\\mathsf{= 6(\bold{25}) + 14 - 10(5)}\\\mathsf{= \bold{150} + 14 - 10(5)}\\\mathsf{= \bold{164} - 10(5)}\\\mathsf{= 164 - \bf 50}\\\mathsf{= \bf 114}\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ C. 114}}}\huge\checkmark\)
\(\large\text{Good luck on assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Expand the following equation (2x-3)^2
Answer:
4x^2 - 12x + 9
Explanation:
(2x - 3)^2
(2x - 3)(2x - 3)
2x(2x - 3) -3 (2x - 3)
4x^2 - 6x - 3 (2x - 3)
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
Select the correct answer.
Which equation is equivalent to the given equation?
–8(x + 13) = 2(1 – 7) + 4x
A -80 + 13 = -2x + 14
-8x + 13 = 6x - 7
-8x - 104 = 60 – 14
-8x - 104 = -2.3 + 14
Answer:
C. -8x-104=6x-14
Step-by-step explanation:
–8(x + 13) = 2(x – 7) + 4x
-8x-104=2x-14+4x
-8x-104=6x-14
Please Someone help do not understand it ASAP
Answer:
1a) 90 = 2y + 2(2x) 1b) 45 - 2x = y
Step-by-step explanation:
1a) 90 = 2y + 2(2x)
1b) 90 = 2y + 2(2x) Use the equation from above and multiply
90 = 2y + 4x
-4x - 4x Subtract 4x from both sides
90 - 4x = 2y Divide both sides by 2
45 - 2x = y
50 points for 3 questions. solve and explain please.
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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кя
KH
⠀
Problem 5.1
A publisher wants to know the thickness of a new book.
The book has a front cover and a back cover, each with a
thickness of of an inch.
The paper has a thickness of
inch per 100 pages.
Write an equation that represents the total width of the
book, y, for every 100 pages of paper, x.
Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is: y = 1/2 + 1/4*x
How to find the Solution?Considering that the book's front and back covers each have a thickness of 1/4 inch, adding them together results in a thickness of 1/2 inch for the book, regardless of how many pages it has.
Given that a book's thickness increases by a quarter of an inch for every hundred pages, the equation is:
y = 1/2 + 1/4*x
where y denotes the book's width and x is the number of bond paper pages printed every 100 pages. Y has a length of inches.
Equations that have the same roots or solutions are said to be equivalent.
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URGENT: Given the following information about an ellipse, write its equation: Foci: (3, 1), (3, 5) Endpoints of minor axis: (7, −2), (–1, −2)
The equation of the ellipse is \((x - 3)^2 / 16 + (y - 3)^2 / 64 = 1.\)
To determine the equation of the ellipse, we need to find its major and minor axes, as well as the distance from each focus to the center.
Given that the foci of the ellipse are located at (3, 1) and (3, 5), we can determine that the center of the ellipse is at the midpoint between these two foci, which is (3, 3).
The endpoints of the minor axis are (7, -2) and (-1, -2), which tells us that the length of the minor axis is 7 - (-1) = 8 units.
Now, let's calculate the distance from the center to one of the foci. Using the distance formula, we have:
sqrt((3 - 3)^2 + (3 - 1)^2) = sqrt(0 + 4) = 2.
Since the foci are vertically aligned, the major axis is vertical. Therefore, the length of the major axis is twice the distance from the center to one of the foci, which gives us 2 \(\times\) 2 = 4 units.
Using the standard form of the equation for an ellipse centered at (h, k), with a horizontal major axis of length 2a and a vertical minor axis of length 2b, the equation is:
\((x - 3)^2 / 4^2 + (y - 3)^2 / 8^2 = 1.\)
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I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
Calculate the mass (in grams)and volume of a metal bar 16.8cm long 4.6cm wide and 2.8cm height given that it's density is 8.5g/cm%s square cube
Answer:
ttgshffs is the first thing that I want you to you sis and you can tell you what you can tell you what is going to be done in your life and I hope that your time ⌚ will not a better world of us for your birthday Babu we will win the temple Changu and I hope that
Paisley randomly surveys 48 teachers about the type of car they drive.
Histogram where the x axis represents SUV, sedan, and truck. The y- axis runs from zero to thirty at intervals of five. The histogram for SUV is at the point fifteen on the y- axis. The histogram for sedan is at the point twenty six on the y- axis. The histogram for truck is at the point seven on the y- axis.
If Paisely randomly surveys another 300 teachers, how many would she expect to drive an SUV?
Answer:
94 teachers drive SUV
Step-by-step explanation:
Given:
Total number of teachers in the survey = 48
Number of teachers who drive SUV = 15
Number of teachers who drive Sedan = 26
Number of teachers who drive truck = 7
To find: how many of 300 teachers drive an SUV
Solution:
Ratio of teachers who drive SUV = \(\frac{15}{48}=\frac{5}{16}\)
Out of 300, number of teachers who drive SUV = \(\frac{5}{16}(300)=93.75\) \(\approx 94\)
Answer: 94
Step-by-step explanation: Given:
Total number of teachers in the survey = 48
Number of teachers who drive SUV = 15
Number of teachers who drive Sedan = 26
Number of teachers who drive truck = 7
To find: how many of 300 teachers drive an SUV
Solution:
Ratio of teachers who drive SUV =
Out of 300, number of teachers who drive SUV =
calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2
Answer:
76
Step-by-step explanation:
4^2 x 5^2 - 18^2
PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.
Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.
(4x4) x (5x5) - (18x 18)
=16 x 25 - 324
Now we multiply: (PEMDAS)
= 400 - 324
then subtract: (PEMDAS)
=76
Answer:
76
Step-by-step explanation:
See 4^2 = 4x4 = 16
5^2 = 5x5 = 25
18^2 = 18x18 = 324
So it is
16 x 25 - 324
= 76
Hope it helps :D
Does someone mind helping me?
Answer:
Hi there The answer should be 11.45 miles
Step-by-step explanation:
I added 3.7 + 4.5 + 3.2 = 11.45
With a calculator.
hope this helps!
Use the relashonships between the angles to find the value of x
Answer: and I oop skssss
Step-by-step explanation: