What is 1,295.014 rounded to the nearest hundredth?
The mean for average temperature in Buffalo ,New york , is 47.5°. The temperture fluctuates 23.5° above and below the mean temperture . If t=1 present January ,the phase shift of the sine function is 4
a) Write the funtion for the average monthly tempperature in Buffalo
b) According to your modle ,what is the average tenperature in March ?
c) According to your modle ,what is the average tenperature in August ?
Use elimination to solve the system of equations.
2x+6y=-8 and 5x-3y=88
A regular 24 sided polygon is rotated with this center of rotation at its center what is the smallest degree of rotation needed to map the polygon back onto itself
Convert 3/20 to a percent
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to convert [tex]\frac{3}{20}[/tex] to a percent, we need to find a fraction equivalent to [tex]\frac{3}{20}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{3}{20}[/tex] = [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
3 × 100 = 300
20 × n = 20n
300 = 20n ← Divide both sides by 20.
15 = n
Therefore, [tex]\frac{3}{20}[/tex] as a percent would be 15%.
Which line is a line of symmetry for this regular polygon?
A. Line g
B.line h
C.line i
A hole is poked in a balloon so that every minute the balloon loses 3/10ft 3 of air. What is the total change in the number of cubic feet of air in the balloon after 5/9 min?
what is the lcm of 14 and 42
What is the area of 74.8 and 22.6?
if p(x,y) is the point on the unit circle defined by real number theta, then csc theta= _____. a. x/y. b. y/x. c. 1/x. d. 1/y.
Answer:
Option d is correct
[tex]Csc \ \theta =\frac{1}{y}[/tex]
Step-by-step explanation:
Here P(x,y) is the point on unit circle ( unit circle has radius 1 and center (0,0))
Now in a diagram we can see that
OA= x
AP= y
radius OP =1
∠POA =θ
Now in ΔAOP
[tex]Csc\ \theta =\frac{hypotenuse }{opposite \ side} \\Csc\ \theta =\frac{OP}{AP}[/tex]
[tex]Csc \ \theta =\frac{1}{y}[/tex] ( since OP =1 and AP =y)
Answer:
1/y
Step-by-step explanation:
apex
what is the range of the relation. (–2,7) (7,2) (2,7)
A. {-2,2,7}
B. {-2,7}
C. {2,7}
D. {2}
Domain:{−2,7,2}
Range:{7,2}
If AZ is a midsegment of WXY, find XZ
A.7
B.9
C.12
D.14
Convert to scientific notation: 0.000678
the ratio of length to width in a rectangle is 3:1. If the perimeter of the rectangle is 112 feet, what is the length of the rectangle?
Length of the rectangle= 42 feet
Width of the rectangle =14 feet
What is rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Given,
Ratio of length to width of rectangle = 3:1
Let width be x then length will be 3x
Perimeter of the rectangle = 112 feet
2(Length + Width) = 112
2(3x + x) = 112
2(4x) = 112
8x = 112
x = 112/8
Width x = 14 feet
length = 3x = 3×14 = 42feet
Hence, 42 feet is length and 14 feet is width of the rectangle.
Learn more about rectangle here:
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Please help me solve this word problem:
In a round-robin chess tournament, each player is paired with every other player once. The function shown below, models the number of chess games, "N", that must be played in a round-robin tournament with "t" chess players. In a round-robin chess tournament, 55 games were played. How many players entered the tournament?
N=t^2-t divided by 2.
Answer:
t = 11
Step-by-step explanation:
From the equation that gives, the number of games you can get the number t of players who participated in the ronund-robin tormeo, is:
[tex]N = \frac{t ^ 2-t}{2}[/tex]
[tex]55 = \frac{t ^ 2-t}{2}[/tex]
[tex]110 = t ^ 2-t[/tex]
[tex]t ^ 2-t -110 = 0[/tex]
[tex](t-11) (t + 10) = 0[/tex]. Then
[tex]t - 11 = 0\\t = 11\\t + 10 = 0\\t = -10[/tex]
Since t cannot take negative values, then t = 11.
If ON is a midsegment of KLM, find LM.
A.2
B.3
C.4
D.5
Answer:
LM= 4
Step-by-step explanation:
In the triangle KLM, ON is the mid segment of KLM
WE use triangle Mid segment theorem
MN= twice of ON
MN= 2 times of ON
4x= 2(x+1)
distribute 2 inside the parenthesis
4x= 2x+2
Subtract 2x on both sides
4x-2x= 2x+2-2x
2x= 2
divide by 2 on both sides
x= 1
To find length of MN, we plug in 1 for x
MN= 4x= 4(1)= 4
(2s+5)/(s^2+6s+34) inverse Laplace transform
The inverse Laplace transform of (2s+5)/(s^2+6s+34) is found by completing the square in the denominator and then matching the result to a known form in the Laplace transform table.
Explanation:The question asks for the inverse Laplace transform of the function (2s+5)/(s^2+6s+34). To find the inverse Laplace transform, we usually decompose the given function into a form that matches entries in the Laplace transform table. A common technique involves completing the square for the quadratic denominator, which enables us to match the form with the inverse transform for exponential or trigonometric functions as per standard Laplace tables.
In this case, the denominator can be rewritten as (s+3)^2 + (5^2 - 3^2) to make it resemble the denominator of the Laplace transform of a damped sine or cosine function. Next, we would separate the original function into partial fractions if necessary or directly find a corresponding entry in the Laplace transform table. Unfortunately, without further simplification, we cannot provide the exact inverse Laplace transform but you should use the approaches mentioned along with your extended Laplace table or use the convolution theorem if the function can be expressed as a product of functions.
what is d/dx(1/sinx) ...?
For a circle of radius 4 feet, find the arc length s subtended by a central angle of 26 degrees.
Answer:
The arc's length is 1.8 ft
Step-by-step explanation:
For calcaulate the arc length S we used the formula below:
[tex] S=\frac{\pi.\alpha(\º)}{180}*R[/tex]
Here alpha is the arc angle in degrees and R is the circle radius. Thus, if alpha is equal to 26 and R equals to 4 ft:
[tex] S=\frac{\pi.26}{180}\ *\ 4ft[/tex]
[tex] S=0.45\ *\ 4ft[/tex]
[tex] S=1.8\ ft[/tex]
In a survey conducted by a union, members were asked to rate the importance of the following issues: (1) job security, (2) increased fringe benefits, and (3) improved working conditions. Five different responses were allowed for each issue. Among completed surveys, how many different responses to this survey were possible? ...?
Final answer:
To calculate the number of different responses in the survey, we multiply the number of potential responses for each issue. With 5 options for each of the 3 issues, there are 5 x 5 x 5 = 125 different possible combinations.
Explanation:
To determine the number of different responses to the survey conducted by a union, we need to calculate the total possible combinations that can occur when members are asked to rate the importance of three issues: (1) job security, (2) increased fringe benefits, and (3) improved working conditions. Since there are five different responses allowed for each issue, we would use a combination formula.
Each member can choose from 5 different responses for each of the 3 issues. This is a situation where we use the 'fundamental counting principle' where you multiply the number of options for each independent choice to get the total number of possibilities:
For job security: 5 possible responsesFor increased fringe benefits: 5 possible responsesFor improved working conditions: 5 possible responsesThe total number of different responses to the survey is 5 x 5 x 5, which equals 125.
So, members have 125 different ways to respond to the survey based on how they rate the importance of each issue.
The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x)7x+16<−5(4−5x) Select the reason for each step from the drop-down menu(s). 7x+16<−5(4−5x)7x+16<−5(4−5x) Given 7x+16<−20+25x7x+16<−20+25x Distributive Property 16<−20+18x16<−20+18x 36<18x36<18x 2
Cory earns $20 for every lawn he mows and $9 for every hedge he trims. He uses the expression 20x + 9y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression.
Part B: How many terms are in the expression, what are they, and how do you know?
Part C: Which term in the expression shows the total earned from trimming hedges?
please help.
A triangle with a base of 1/4 meter has an area of 8 square meters. What is the height, in meters, of the triangle?
State the X- and Y- intercepts of each function.
2/3x - 1/3y = 2
What number between 30 and 40 has only itself as factors?
Which ordered pair could not be the coordinates for a clockwise rotation of the point W(-3, 4)?
A)14 is 30 percent of what number?
B) 72 is what percent of 180?
The formula for the circumference C of a circle with radius r is C = 2πr. Which of the following is a formula for π (pi) of the circle in terms of the circumference and radius?
A. PI=C+2r
B: C-2r
C: PI=2R/C
D: PI/C/2R
...?
Answer: D. [tex]\pi=\dfrac{C}{2r}[/tex]
Step-by-step explanation:
Given : The formula to find the circumference is given by :-
[tex]C=2\pi r[/tex], where r is the radius of the circle.
To find the formula for [tex]\pi[/tex] , we need to divide 2r on both of the sides in the above equation, we get
[tex]\pi=\dfrac{C}{2r}[/tex] , where r is the radius of the circle.
Hence, the correct formula for [tex]\pi[/tex] : Option D [tex]\pi=\dfrac{C}{2r}[/tex]
Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
The equivalent equation is: -100k + 3 + 101k = -245 - 181k
Finding the Equivalent Equation
We need to find the equation equivalent to:
-k + 0.03 + 1.01k = -2.45 - 1.81k
To eliminate decimals, we can multiply the entire equation by 100:
100*(-k + 0.03 + 1.01k) = 100*(-2.45 - 1.81k)
This simplifies to: -100k + 3 + 101k = -245 - 181k
Therefore, the equivalent equation is: -100k + 3 + 101k = -245 - 181k
Complete question:
Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
–100k + 3 + 101k = –245 – 181k
–100k + 300 + 101k = –245 – 181k
–k + 3 + 101k = –245 – 181k
–k + 300 + 101k = –245 – 181k
The U.S. senate is composed of 2 senators from each of the 50 states. In order for a treaty to be ratified, at least two thirds of the senators present must approve the treaty. Suppose all senators are present and 48 of them have voted in favor of a treaty. What are the possible numbers of additional senators who must vote in favor of the treaty in order to radify it?
Answer: So, the possible number of additional senators who must vote in favor of the treaty in order to radify it is given by
[tex]19\leq x\leq 52[/tex]
Step-by-step explanation:
Since we have given that
Number of states = 50
Number of senators from each of the 50 states = 2
Total number of senators would be
[tex]50\times 2\\\\=100[/tex]
Since [tex]\dfrac{2}{3}[/tex] of the senators present must approve the treaty.
[tex]\dfrac{2}{3}\times 100\\\\=66.67[/tex]
Number of senators have voted in favor of a treaty = 48
So, remaining senators would be
[tex]67-48\\\\=19[/tex]
Let x be the number of senators needed.
So, Inequality would be
[tex]x\geq 19[/tex]
Now, [tex]100-48=52[/tex]
[tex]x\leq 52[/tex]
So, the possible number of additional senators who must vote in favor of the treaty in order to radify it is given by
[tex]19\leq x\leq 52[/tex]