The real statement is that the closer you get to the center of the vortex, the closer the current speed approaches infinity. option C is correct.
Given the speed s of the flow in a given vortex is modeled by x=300/d, where d is the distance to the center of the vortex.
speed is defined as the rate of change of an object's position in any direction. Speed is measured as the ratio of distance traveled to time traveled.
As d approaches 0, you are approaching the center of the vortex.
[tex]\begin{aligned}S&=\lim_{d\rightarrow 0}\frac{300}{d}\\ &=\frac{300}{0}\\ &=\infty\end[/tex]
Thus, if the flow in a given vortex is modeled by x = 300/d, as one approaches the center of the vortex, the speed of the flow tends to infinity.
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Answer: C- As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
Q. An ornithologist wants to estimate the number of parrots in a large field. She uses a net to catch some, and catches 32 parrots, which she rings and sets free. The following week she manages to net 40 parrots, of which 8 are ringed.
(1) What fraction of her second catch is ringed?
(2) Find an estimate of the total number of parrots in the field.
Need help! Urgent!
Total parrot=40
Caught=8
Fraction
8/401/5#2
Out of 40 parrots 8 are ringed
Parrots per one ringed=40/8=5
Total ringed before=32
Total no of parrots
32(5)160There are 160 parrots
Answer:
[tex]\sf 1) \quad \dfrac{1}{5}[/tex]
[tex]\sf 2) \quad 160\:parrots[/tex]
Step-by-step explanation:
Question 1Given information:
Second catch = 40 parrotsRinged = 8 parrotsTherefore, the fraction of ringed parrots from the second catch is:
[tex]\implies \sf \dfrac{ringed\:parrots}{total\:caught\:parrots}= \dfrac{8}{40}=\dfrac{1 \times 8}{5 \times 8}=\dfrac{1}{5}[/tex]
Question 2If she caught and ringed 32 parrots in her first catch, but only 1/5 of the parrots caught in the second catch were ringed, then 32 parrots represents 1/5 of the total number of parrots. To find the total number of parrots, simply multiply the total number of ringed parrots by 5:
[tex]\implies \sf \textsf{Total number of parrots}=32 \times 5 = 160[/tex]
please answer this fast
The numeric values from the function are given by:
f(a) = 4 - 2a + 6a²f(a + h) = 6a² + 12ah + 6h² - 2a - 2h + 4.[f(a + h) - f(a)]/h = 12a + 6h - 2.What is the function for this problem?The function is:
f(x) = 4 - 2x + 6x².
When x = a:
f(a) = 4 - 2a + 6a².
When x = a + h:
f(a + h) = 4 - 2(a + h) + 6(a + h)² = 6a² + 12ah + 6h² - 2a - 2h + 4.
For the last question
[f(a + h) - f(a)]/h = [6a² + 12ah + 6h² - 2a - 2h + 4 - 4 + 2a - 6a²]/h = [12ah + 6h² - 2h]/h = h(12a + 6h - 2)/h
Hence:
[f(a + h) - f(a)]/h = 12a + 6h - 2.
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Factorize completely 2xy -6mn - 3m + 4nx please help me solve it
First of all, your question should be: Factor completely 2xy – 6mn – 3my + 4nx, and not Factorize completely 2xy – 6mn – 3m + 4nx. This noted, we proceed to the solution, which is:
2xy – 6mn – 3my + 4nx
→ y(2x – 3m) + 2n(–3m + 2x)
→ (2x – 3m) (y + 2n)
.: Final answer: (2x – 3m) (y + 2n)
I hope this helps.(2x – 3m) (y + 2n) is the factorized form of 2xy -6mn - 3m + 4nx
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given expression is 2xy – 6mn – 3my + 4nx
Two times of xy minus six times of mn minus three times of m y plus four times of nx
2xy – 6mn – 3my + 4nx
By using commutative property arrange the terms
2xy –3my– 6mn+ 4nx
Take y as common from first two terms and 2n as common in last two terms
y(2x – 3m) + 2n(–3m + 2x)
(2x – 3m) (y + 2n)
Hence, (2x – 3m) (y + 2n) is the factorized form of 2xy -6mn - 3m + 4nx
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Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (0, 3), (0, negative 1.2), (negative 2, 1). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (negative 2, 1), (0, negative 1), (0, 3). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (3, 0), (negative 1.5, 0), (0.5, 2). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (1, 2), (negative 1.5, 0), (2.8, 0).
A graph which shows the image of ABCD is: A. on a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1).
What is a transformation?A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
In Geometry, there are different types of transformation and these include the following:
DilationReflectionRotationTranslationBased on transformation of parallelogram ABCD, we can infer and logically deduce that a graph which shows the image of ABCD is that on a coordinate plane, with parallelogram A'B'C'D' having points (-2, 5), (0, 3), (0, -1.2), (-2, 1) as shown in the image attached below.
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how do i find x? pls tell me with working
Answer:
35
Step-by-step explanation:
Angle QRS is an inscribed angle, so measure of angle QRS is half the measure of the intercepted arc, arc SPQ. Therefore arc SPQ is 125*2 = 250 degrees, and arc QRS is 360 - 250 = 110 degrees.
Angle QPS is an inscribed angle, and arc QRS is its intercepted arc. Therefore angle QPS is 110/2 = 55 degrees. Since PS is the radius of the circle, angle PQS, the angle inscribed in the semicircle, is 90 degrees. Since interior angles of the triangle QPS add up to 180 degrees, angle QSP is 180 - 90 - 55 = 35 degrees.
Angles QSP and UST are vertical angles, and by the vertical angles theorem, they are congruent. Therefore x = 35.
C is the point on the line y = 2x + 1 where x = 2
Find the co-ordinates of the mid-point of BC.
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
How to determine coordinates of the mid-point of BC?First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
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2x + 4y = 12
y = A system of equations. 2 x plus 4 y equals 12. y equals StartFraction one-fourth EndFraction x minus 3.x – 3
What is the solution to the system of equations?
Answer:
x = 4, y = 1
Step-by-step explanation:
y = (1/4)x
2x + 4y = 12
replace y with something x
2x + 4(1/4)x = 12
3x = 12
x = 4
so y = 1
HELP If there are 79 people in a hip-hip dance group and 14 are girls,
what is the probability that a person chosen at random will be a boy?
State your answer as a fraction.
Answer:
you better give me brainliest
65/79
Step-by-step explanation:
number if boys =79-14 = 65
p of selecting a boy >> 65/79
can't cancel out so leave your answer like that
Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When will they both have the same amount of money in the bank?
They will both have the same amount in the bank after 10 weeks
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, we have
Nancy
Initial = 400
Rate = 10
So, the equation is
y = 400 + 10x
700
Initial = 700
Spending = 20
So, the equation is
y = 700 - 20x
When they both have the same amount of money in the bank, we have
700 - 20x = 400 + 10x
Evaluate the like terms
30x = 300
Divide by 30
x = 10
Hence, they will both have the same amount in the bank after 10 weeks
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Powers of 10 and Exponents (number 4 is a 10 incase u can’t see of the ripped page.)
Answer:
below
Step-by-step explanation:
2) 10², the second power of ten
3) 10⁴, the fourth power of ten
4) 1000
5) 400
6) 90,000
7) 10
8) 100,000
9) 50
10) 7000
11) 8
12) 24 x 10⁴
13) 93,000,000
Answer + Step-by-step explanation:
pls help with Trigonometric
The value of the given trigonometry function is 2√15/15
Half anglesHalf angles are trigonometric identities used to express sine, cosine and tangent of half angles.
For instance the value of cos theta is expressed as shown below;
cosФ = cos(Ф/2+Ф/2)
cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ = 1 - 2cos²Ф/2
Given the following parameters
cosФ = -7/15
Substitute
cosФ = 1 - 2cos²Ф/2
-7/15 = 1 - 2cos²Ф/2
-2cos²Ф/2 = -7/15 - 1
-2cos²Ф/2 = -8/15
cos²Ф/2 = 4/15
cosФ/2 = 2/√15
Rationalize
2/√15 * √15/√15
2√15/15
Hence the value of the given trigonometry function is 2√15/15
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please help with math
Answer:
2nd option, x > 1.10
Step-by-step explanation:
[tex]7e^{2x}-5 > 58[/tex]
Add 5 to both sides,
[tex]7e^{2x}-5+5 > 58 +5\\7e^{2x} > 63[/tex]
Divided both sides by 7,
[tex]\frac{7e^{2x}}{7} > \frac{63}{7}[/tex]
[tex]e^{2x} > 9[/tex]
Apply Exponent Rule,
[tex]2x > 2ln(3)[/tex]
[tex]\frac{2x}{2} > \frac{2ln(3)}{2}[/tex]
x > ln(3) or x > 1.09861
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What is the center of the ellipse x2+5y2–45=0?
Write your answer in simplified, rationalized form.
(___,___)
Answer:
Center is at (0,0)
Step-by-step explanation:
An equation of ellipse in standard form is:
[tex]\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1[/tex]
Where center is at point (h,k)
From the equation of [tex]\displaystyle{x^2+5y^2-45=0}[/tex]. First, we add 45 both sides:
[tex]\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}[/tex]
Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:
[tex]\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}[/tex]
Therefore, the center of ellipse is at (0,0) since there are no values of h and k.
Robert bought a combination of 15 colored and normal pencils. Each pencil wad $0.60 and each colored pencil was $0.45. In total he paid $8.70. How many colored pencil and pencil did he buy?
Show equation
Answer:
Robert bought 13 colored pencils and 2 pencils
Step-by-step explanation:
13 x 0.60 = 7.8
2 x 0.45 = 0.9
7.8 + 0.9 = 8.70
13 colored pencils are $7.80
2 pencils are $0.9
15 total is $8.70
A sample statistic becomes more accurate as the sample size increases due to ______.
A. The Law of Large Samples
B. The Central Limit Theorem
C. The Law of Large Numbers
D. The Law of Reduced Variability
A sample statistic becomes more accurate as the sample size increases due to the law of large numbers.(option C)
What is the law of large numbers?The law of large numbers is a theorem in statistics that states that as the number of experiments increases, the sample mean becomes closer to the theoretical mean. The law of large numbers was first proved by Jacob Bernoulli.
For example, if you carry out an experiment to determine how many students in the US attend high school and the only person you ask tells you he does not attend high school. If you conclude the experiment based on the response of that one person, it is likely that you would conclude that on average, people in the US do not attend high school. If you ask more people, it is likely that your opinion would change and you could come to the conclusion that majority of US citizens attend high school.
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Hazel is measuring two prisms whose bases are squares.
Given the volume V and the base's side length a of the first prism, Hazel uses the formula
h=V/a^2
to compute its height h to be 10 centimeters.
The base of the second prism has the same side length, but has 5 times the volume. What is its height?
The height of the second square base prism is 50 cm.
How to find volume of a square base prism?The volume of the first square base prism is represented as follows:
v = ha²
where
h = heighta = side length of the baseTherefore, the height of the prism is 10 cm.
v = 10a²
Hence, the volume of the initial prism is 5 times the volume. Therefore,
v = 5(10a²)
v = 50a²
Therefore,
50a² = ha²
divide both sides by a²
50a² / a² = ha² / a²
50 = h
h = 50 cm
Therefore, the height of the second square base prism is 50 cm.
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What is the least positive integers which , when subtracted 7300 would make a result a perfect square?
75 is the least positive integers which , when subtracted 7300 would make a result a perfect square
What is the least positive value?So normally the least positive integer of all the numbers is the number 1 but when you talk about least positive integer, often times you are talking about the special function called the ceiling function
Least positive integer:
The smallest of the numbers in the set {1, 2, 3, …} is 1.
So, the number 1 is the smallest positive integer.
7300
If we Take Square root of 7300 we have to subtract 75 from 7300 to get a perfect square.
7300-75=7225
(85)^2=7225
75 to be subtracted
√7300 ≥ 85
Perfect Square = 85² = 7225 or (7300-7225 = 75)
75 is the least positive integers which , when subtracted 7300 would make a result a perfect square
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what is the digit of 7 in 906point7
help help help help help help pleaseeeeee
The maximum height is; 180 ft and the Total time in the air is 12 seconds
How to solve projectiles?We are given the equation that represents the height of the rocket as;
d = 60t - 5t²
Taking the derivative of the formula gives us;
d' = 60 - 10t.
-10t represents the acceleration. The 60 represents the initial velocity.
Set 60 - 10t = 0 and solve for t to get;
t = 60/10 = 6seconds.
That's when the maximum height occurs. Plug that value of t into the original quadratic equation to get the maximum height.
d(6) = 60t - 5t²
d(6) = 60(6) - 5(6²)
d(6) = 180
So, maximum height is about 180 ft.
Thus, total time in air = 2 * 6 = 12 seconds
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What is the equation of this graph?
The equation of the parabola given in the graph is:
(x - 5)² = -8(y + 4).
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
a(y - k) = (x - h)²
In which a = 4p is the leading coefficient.
In this problem, the vertex is at point (5,-4), hence h = 5, k = -4, and the equation is:
a(y + 4) = (x - 5)²
The focus is at y = -6, which means that p = -6 - (-4) = -2, hence the leading coefficient is:
a = 4p = 4(-2) = -8
Hence the equation is:
(x - 5)² = -8(y + 4).
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I don't understand the question
Answer: 7 pigeons sitting on the branches, 5 pigeons under the tree
=12 in total
Step-by-step explanation:
Upper branch has x pigeons, lower has y.
Top branch said: "If one of you flies up to us our number will be double yours":
Well, if one of the bottom branch flies up, the top branch will have x+1 birds and the bottom will have (y−1). The top will have double the bottom, so:
x+1=2(y−1)
Top branch said: "If one of us flies down to you, our numbers will be equal":
Now, the top branch will have x−1 and the bottom y+1. The numbers should be equal:
x−1=y+1
help me plss its ttm
For the first representation, the equation is : y = 3x-5.
For the second representation, the equation is : y = -12x+2.
For the third representation, the equation is : y = 5/4x-5.
For the fourth representation, the equation is: y = -6x+3.
Analyze the representations given in the question, in order to find its corresponding equation.
According to the question,
For the first representation, y=1 when x=2, y=-2 when x=1 and y=4 when x=3. On substituting these values of x and y in the given equations, we get that y = 3x-5.
Similarly, for the second representation, we get, y = -12x+2.
For the third representation, we get, y = 5/4x-5.
For the fourth representation, we get, y = -6x+3.
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can someone help? will award brainliest
Answer:
B
Step-by-step explanation:
The beginning temperature is -12 and then it rises 5 degrees each hour at the end of the game it is 32 degrees.
On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line segment from q to s in a 3:5 ratio. which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?
The coordinates of point r(-8,0).
What is midpoint formula in coordinate geometry?The coordinates of the point r(x,y) which divides the line segment joining the points p([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and q([tex]x_{2}[/tex],[tex]y_{2}[/tex]) internally in the ratio :[tex]m_{1}[/tex][tex]m_{2}[/tex] are
[tex]\left(\frac{m_{1}x_{2}+ m_{2}x_{1} }{m_{1}+m_{2} } ,\frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1}+m_{2} }\Rifgt)[/tex]
Given that,
Two end points on the line q(-14,0) and s(2,0). point r(x,y) is the partition of the line segment from q to s in a ratio 3:5
[tex]m_{1}[/tex] = 3 and [tex]m_{2}[/tex] = 5
By using the midpoint formula
[tex]\left(\frac{m_{1}x_{2}+ m_{2}x_{1} }{m_{1}+m_{2} } ,\frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1}+m_{2} }\Rifgt)[/tex]
[tex]\left(\frac{3(2)+ 5(-14) }{3+5 } ,\frac{3(0)+ 5(0) }{3+5 }\Rifgt)[/tex]
[tex]\left(\frac{-64}{8 } ,\frac{0 }{8 }\Rifgt)[/tex]
[tex]\left(-8 ,0\Rifgt)[/tex]
Hence, The coordinates of point r(-8,0).
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In a survey conducted among the people,200 like fruit and100 like both of them . using veen diagram, find the number of people who like at least. one of them
your question is not clear
Find the probability of rolling a sum less than 5 or a sum greater than 7 when a pair of dice is rolled.
Answer:
Step-by-step explanation:
Solution
There are 36 possible ways to combine two dice. The ones you are interested in, are in the table below
Numbers less that 5 are with their probabilities
Number Probability How done.
2 1/36 1 + 1
3 2/36 2 + 1 1 + 2
4 3/36 2 + 2 1 +3 3 + 1
Total 6/36 1/6
Greater than 7
Number Probability How done
8 5/36 6+2 2+6 5 +3 3+5 4 + 4
9 4/36 6+3 3 + 6 5+4 4+ 5
10 3/36 6+4 4 +6 5 + 5
11 2/36 5+6 6 + 5
12 1 /36 6 + 6
Total 15/36
Answer
15/36 + 1/6 = 15/36 + 6/36 = 21/36
Final Answer: 7/12
The Williard family was saving up for their summer vacation. Mrs. Williard had $475.88 in their savings account for the trip. Mr. Williard received a bonus at work for $609.00 that he is saving for the trip. If the trip will cost the Warren's a total of $1675.98, how much more money do they need for their vacation
Answer:
$591.10
Step-by-step explanation:
First, add up $475.88 and $609.00 together. Then, subtract it from $1675.88. They need $591.10 more for their vacation.
A right rectangular prism has these dimensions:
Length: Fraction 1 and 1 over 3 units
Width: Fraction 5 over 6 unit
Height: Fraction 2 over 3 unit
How many cubes of side length 1 over 6 unit are required to completely pack the prism without any gap or overlap?
160 cubes required to completely pack the prism without any gap or overlap
How to determine the number of cubes?The dimensions of the rectangular prism are given as:
Length = 1 1/3
Width = 5/6
Height = 2/3
The volume is
Volume = Length * Width * Height
This gives
Volume = 1 1/3 * 5/6 * 2/3
Evaluate the product
Volume = 20/27
The side length of the cube is
L = 1/6
The volume of the cube is
V = (1/6)^3
Evaluate
V = 1/216
The number of cubes required to completely pack the prism without any gap or overlap is
n = (20/27) / (1/216)
Evaluate
n = 160
Hence, 160 cubes required to completely pack the prism without any gap or overlap
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Determine how much this home would cost to replace: 3,800 square feet at $102.00 per square foot
Answer: $
___
This is exactly what the questions look like, can’t find anything.
A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 3y 4z = 1 which of these is a possible step used in eliminating the y-term? (y z = 6) ⋅ 4 (3y 4z = 1) ⋅ 4 (y z = 6) ⋅ −3 (3y 4z = 1) ⋅ 3
Option C is correct (y + z = 6) ⋅ −3
What is a linear equation in math?
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.As per the statement -
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6 ....[1]
Equation Q: 3y + 4z = 1 ....[2]
Multiply the equation [1] by -3 to both sides we have;
-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)
Add equation [2] and [3] to eliminate the y-term;
z = -17
Therefore, the possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3
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The complete question is -
A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?
(y + z = 6) ⋅ 4
(3y + 4z = 1) ⋅ 4
(y + z = 6) ⋅ −3
(3y + 4z = 1) ⋅ 3