Find the equation of tangent to circle x^2+y^2 = 3 which makes angle of 60 ° with x-axis.
Step-by-step explanation:
hope it helps thnak you
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6. The figure shows rectangle ABCD in the coordinate plane with point A(0, 2.76), B(3.87, 2.76), C(3.87,0, and D(0,0). Rectangle ABCD can be used to approximate the size of the state of Colorado with x and y scales representing hundreds of miles. At the end of 2010, the population of Colorado was 5,029,196 people. Based on this information given, what was the population density at the end of 2010 in people per square mile? Enter your answer in the box.
Answer:
Population density = 47 people per square miles
Step-by-step explanation:
From the picture attached,
Coordinates of vertex B → (3.87, 2.76)
Which represents length of vertex A from origin O (AD)= 2.76 units ≈ 276 miles
Length of vertex B from origin O (CD) = 3.87 units ≈ 3.87 miles
Area of rectangle ABCD = Length × Width
= CD × AD
= 387 × 276
= 106812 square miles
Population of Colorado = 5029196 people
Population density of Colorado = \(\frac{\text{Total population}}{\text{Total area}}\)
= \(\frac{5029196}{106812}\)
= 47.08
≈ 47 people per square miles
The population density at the end of 2010 in people per square mile is 47.
The calculation is as follows;Length of vertex A from origin O (AD)= 2.76 units ≈ 276 miles
Length of vertex B from origin O (CD) = 3.87 units ≈ 3.87 miles
Now
Area of rectangle ABCD = Length × Width
= CD × AD
= 387 × 276
= 106812 square miles
And,
Population of Colorado = 5029196 people
So, the population density is
\(= 5029196 \div 106812\)
= 47
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Resham can read 3 pages in 7 minutes. Pedro can read 8 pages in 14 minutes. To get credit, justify your answer using ratios. Who is the faster reader
Answer:
pedro
Step-by-step explanation:
in 14 minutes resham can read 6 pages and pedro can read 8 just x2 on resham
find the flow of the velocity field f=5y2 9i (10xy)j along each of the following paths from (0,0) to (1,1).
The flow of the velocity field along the straight line path from (0,0) to (1,1) is 55/3.
To find the flow of the velocity field along a path from (0,0) to (1,1), we need to integrate the velocity field along that path.
Let's consider two different paths: a straight line path and a curved path.
Straight Line Path:
For the straight line path from (0,0) to (1,1), we can parameterize the path as x(t) = t and y(t) = t, where t varies from 0 to 1.
The velocity field is given as \(f = 5y^2 \times 9i + (10xy)j.\)
To find the flow along this path, we need to compute the line integral of the velocity field along the path.
The line integral is given by:
Flow = ∫C f · dr,
where C represents the path and dr represents the differential displacement vector along the path.
Plugging in the parameterized values into the velocity field, we have:
\(f = 5(t^2) \times 9i + (10t\times t)j = 45t^2i + 10t^2j.\)
The differential displacement vector,\(dr,\) is given by dr = dx i + dy j.
Since dx = dt and dy = dt along the straight line path, we have dr = dt i + dt j.
Therefore, the line integral becomes:
Flow = ∫\((0 to 1) (45t^2 i + 10t^2 j) . (dt i + dt j)\)
= ∫\((0 to 1) (45t^2 + 10t^2) dt\)
= ∫\((0 to 1) (55t^2) dt\)
= \([55(t^3)/3] (from 0 to 1)\)
= 55/3.
So, the flow of the velocity field along the straight line path from (0,0) to (1,1) is 55/3.
Curved Path:
For a curved path, the specific equation of the path is not provided. Hence, we cannot determine the flow of the velocity field along the curved path without knowing its equation.
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0) What is the value of 56?
56 = 5.5.5.5.5.5
= (5.5) . (5.5) (5.5)
- 25 · 25 · 25
· 25
Answer:
my answer is 5 thats may final answer....
thaks for your question..
Architectural Designers is creating a schematic for a bridge over the Columbia River whose arch is in the shape of a parabola. The road, 40 feet above the river surface, represents the directrix of the parabolic arch. The focus of the parabolic arch is located 20 feet above the river surface. In the schematic, the river surface will be positioned along the x-axis and the axis of symmetry for the downward opening parabolic arch will be positioned along the y-axis. Which equation best models the parabolic arch in the schematic?
Answer:c
Step-by-step explanation:
A and D are incorrect just by the fact that they dont open downward(arch) B. Is also incorrect because the y intercept 10 doesn’t include the focus point 20 also u can use this calculator called parabola calculator to pin point focus and directive just in case u want to check my answer. C is most correct because it has intercept 30 including focus point 20...(SHOUT OUT TO ILT)
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at \((-2,0)\)
then y-axis at \((0,-2)\) and
then again x - axis at \((2,0)\).
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at \((-2,0)\), then intersects y axis at \((0,-2)\) and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at \((2,0)\).
Please find attached graph for the same.
This graph denotes the following function:
\(y=f(x)=|x|-2\)
Domain of a function \(y =f(x)\) is the values of \(x\) that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
please help me i really need it
Answer:
Step-by-step explanation:
There is nothing more to do than read the answers
Slope: the number in front of x which is 3/5y intercept: pure number on the right 61. A state is considering adding another character to their vehicle license plates in order to increase the number of license plates available. Currently, a license plate must have exactly six character spaces. Each character space may be filled with any capital letter other than I or O or any number between, and including, 0 to 9. Letters and numbers may repeat on the plates.
(a) How many different license plate numbers are available under the current structure of exactly six characters per plate? Show your work.
(b) If the state required all license plates to have exactly seven characters instead of six, how many different license plate numbers would be available with the additional character requirement? Show your work.
(c) How many times bigger is the set of license plate numbers with exactly seven characters than that with the set of six characters? Show your work.
Answer:
9514 1404 393
Answer:
a) 1,544,804,416
b) 52,523,350,144
c) 34
Step-by-step explanation:
(a) Each character position can be any of 24 letters or 10 digits, so any of 34 characters. The number of possible characters sets increases by a factor of 34 for each added character. A six-character plate will have ...
34^6 = 1,544,804,416 . . . possibilities
__
(b) 34^7 = 52,523,350,144 . . . possibilities
__
(c) 34^7/34^6 = 34 . . . times as many
what dy did mrter thother king dye
PLEASE HELP ME ASAP :(
1. Write the equation in slope intercept form. 4x-3y=12
2. Identify the slope and y-intercept.
3. Graph the line
4. Identify if it is a positive or negative slope.
Can you please help me ASAP ? And explain the steps
Step-by-step explanation:
y=4/3x+4
y int =4
x int = -1
the graph is an increasing graph line that touch 4 in y and -1 in x
m=4/3
Select the correct answer.
Function F is nonlinear and f(5) = 4. Which equation could represent function F ?
A. f(x) = x^2 – 11
B. f(x) = 2^x - 28
C. f(x) = 1/5x + 3
D. f(x) = 5
i know its not C
3. Are the points on the line part of the solution set or not?
a. Yes, they are part of the solution
b. No, they are not part of the solution
c. Maybe, they are part of the solution
d. None of the above
Answer:
a. Yes, they are part of the solution6n² - 15 = 6 (5)² - 15
Answer:
6n2-15=150-15
6n2-15=135
6n2=150
divied both side by 6
n2=25
sqrt both side
n=-5 or 5 bc sqrt so 2 answer
Step-by-step explanation:
please help with this 8x2+4y÷z when x=12, y=34, and z=2 I don't know this
Answer:
3
Step-by-step explanation:
8x2+4y÷z
when x=12,
y=34,
and z=2?
What’s the answer to this?! ;)))
Answer:
A
Step-by-step explanation:
2pi radians = 2*pi*9 = 18 pi
That's the circumference. Now you want to take pi/6 part of the circumference.
pi / 6 part of the circumference / 2pi is what you are looking for.
(pi / 6 // 2 pi) * 18 pi = 1/12 * 18 pi = 3/2 pi
2.
Suzy wants to buy a bike. She currently has $30 in her wallet and plans on
saving $10 per week
b. How long will it take Suzy to buy a bike that costs $150? Show your work.
Rashaad leans a 22-foot ladder against a wall so that it forms an angle of 65° with the ground. How high up the wall does the ladder reach?
What is the correct order pair of y=3x+2 and y=x+12 a.(0,12) b(3,2) c(5,17) d(0,2)
Answer:
c
Step-by-step explanation:
y = 3x + 2 → (1)
y = x + 12 → (2)
substitute y = 3x + 2 into (2)
3x + 2 = x + 12 ( subtract x from both sides )
2x + 2 = 12 ( subtract 2 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (2)
y = x + 12 = 5 + 12 = 17
solution is (5, 17 )
Please help I will mark you brainiest and give you 20 points please it´s urgent!!❤️
The graph shows the number of miles traveled by a train over a 5 hour trip.
How fast is the train traveling?
A. - 30 miles per hour
B. - 32.5 miles per hour
C. - 35 miles per hour
D. - 40 miles per hour
Answer:35 Miles Per Hours
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
Your baseball team is selling donuts to raise money for a trip for each dozen of donuts you sell $3.50 goes towards your trip you hope to earn at least $140 for the trip right and solve an inequality that represents the number X of dozen donuts you must sell to reach your goal
The slopes of two lines are given below
True or false: the lines are perpendicular
1. 100= 125x^2 find x using logarithms
Answer:
Step-by-step explanation:
Answer:
x =2√55,−2√55
Decimal Form: x=0.89442719…,−0.89442719…
Step-by-step explanation:
questionkiki has 131 wheat rolls and 117 rye rolls. she places them in baskets of 9 rolls each. she divides the total number of rolls by 9 and gets 27 r 5.what is the correct interpretation of r 5 for this situation?responseskiki has 5 baskets left after filling 27 baskets.kiki has 5 baskets left after filling 27 baskets.kiki has 5 rolls left after filling 27 baskets.kiki has 5 rolls left after filling 27 baskets.kiki can fill at most 27 baskets with 5 rolls each.kiki can fill at most 27 baskets with 5 rolls each.kiki can fill 5 more baskets after filling 27 baskets.kiki can fill 5 more baskets after filling 27 baskets.
From division algorithm kiki divides total number of rolls by 9, and results 27 with remainder, r= 5, then the right interpretation is kiki has 5 rolls left after filling 27 baskets. So, option(b) is correct one.
The division algorithm tells us that when a number 'a' is divided by a number 'b' the quotient 'q' and the remainder 'r' represented by relation, a = bq + r.
Total number of wheat rolls that kiki had
= 131
Total number of rye rolls that kiki had
= 117
Total number of rolls she had = 131 + 117
= 248
Number of rolls placed by Kiki in one basket = 9
Total number of baskets she needed to place the rolls = dividing total rolls by total number of rolls in one basket, \(= \frac{ 248}{9} \)
Results, quotient =27 and remainder = 5
That means when kiki wants to put all rolls in baskets, we placed total 243 rolls in 27 baskets with 9 rolls in each and 5 rolls are remained. The rammining rolls are represented by remainder. Hence, required interpretation is that 5 rolls are left after placed in 27 baskets .
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Complete question:
question : kiki has 131 wheat rolls and 117 rye rolls. she places them in baskets of 9 rolls each. she divides the total number of rolls by 9 and gets 27 r 5.what is the correct interpretation of r 5 for this situation?responses
a) kiki has 5 baskets left after filling 27 baskets.
b) kiki has 5 rolls left after filling 27 baskets.
c) kiki can fill at most 27 baskets with 5 rolls each.
d) kiki can fill 5 more baskets after filling 27 baskets.
Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 45,529(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.
The exponential function for depreciation given in the problem is:
y = 45,529(0.78)^x
This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.
To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:
y > 0
In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.
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let me know if you need to see the answer choices1) is, or is not 2) -3/2 and 3/4, -3/2 and 2/3, or -4/3 and 3/4 3) are, or are not
Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular
1) Considering that to be a rectangle that quadrilateral needs to have perpendicular line segments and two pairs of congruent segments.
2) Let's find the slope of the line segments AB and BC, bearing in mind the coordinates of A(-2,-1) B(2,2) and C(4,-1)
\(\begin{gathered} m_{AB}=\frac{2-(-1)}{2-(-2)}=\frac{3}{4} \\ m_{BC}=\frac{-1-2}{4-2}=\frac{-3}{2} \\ m_{CD}=\frac{-4-(-1)}{0-4}=\frac{-3}{-4}=\frac{3}{4} \\ m_{AD}=\frac{-4-(-1)}{0-(-2)}=\frac{-3}{2} \end{gathered}\)Note, that in order to state that there are perpendicular lines, the slope of AB and BC should be the opposite and reciprocal so AB is 3/4 and BC should be -4/3. The same does not occur to AB and AD.
3) Hence, the answer is:
Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular
2. A triangle has the angle measures 40 degrees, 60 degrees, and x degrees. If the sum of the angle measures is equal to 180 degrees, which equation could be used to correctly solve for x? Mark all that apply. (2 Points)
1. X - 100 = 180
2. 180 = 40 + 60 + X
3. 100x = 180
4. X + 100 = 180
Answer:
2 and 4
Step-by-step explanation:
96-81=
wfcdguuaabesb4v,g,hbv
Answer:
15
Step-by-step explanation:
Answer:
96-81=15 lol
hope this helps
Step-by-step explanation:
Use indicator random variables to compute the expected value of the sum of n dice.
The expected value of the sum of n dice is E[X] = 3.5n.
Indicator random variables are a probability theory tool. They are used to help evaluate probabilities for a given random variable.
Let X be the total number that results from n throws of a fair six-sided die.
By linearity of expectation,E[X] = E[X1 + X2 + ... + Xn] = E[X1] + E[X2] + ... + E[Xn]
Where Xj is the number obtained on the jth die roll.
Each Xi is a discrete random variable with a uniform distribution on the set {1, 2, 3, 4, 5, 6}.
To evaluate E[Xi], we define an indicator random variable Yi as follows: Yi = 1 if Xi = i and Yi = 0 otherwise.
Then, Xi = 1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6.
Thus,E[Xi] = E[1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6] = E[1Y1] + E[2Y2] + ... + E[6Y6] = 1P(Xi = 1) + 2P(Xi = 2) + ... + 6P(Xi = 6) = (1 + 2 + ... + 6) / 6 = 3.5.
Therefore, E[X] = E[X1] + E[X2] + ... + E[Xn] = 3.5n.
Thus, we have computed the expected value of the sum of n dice using indicator random variables. The expected value of the sum of n dice is E[X] = 3.5n.
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Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 15:15
OB. 1: 15
O C. 1: 2
OD. 25
E. 2.5: 6
OF. v2:
9514 1404 393
Answer:
B, E
Step-by-step explanation:
The ratios of side lengths in a 30-60-90 triangle are ...
1 : √3 : 2
The two legs are the shorter sides, so any ratio that reduces to 1 : √3 is an appropriate choice:
B. 1 : √3
E. 2√3 : 6