Answer:
35.2
Step-by-step explanation:
Make A the subject..............................................
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
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What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Find the perimeter of figure F, if the scale factor of two regular geometric figures G to F is 3:4and the perimeter of figure G is 60 yards.
Given,
The ratio in the figure G and figure F is 3:4.
The perimeter of the figure G is 60 yards.
By using the rule of the proportionality,
\(Ratio\text{ in figure G to F =}\frac{perimeter\text{ of figure G}}{perimeter\text{ of figure F}}\)Consider,
The perimeter of the figure F is x.
Substituting the vaalues of ratio and perimeter in the above expression,
\(\begin{gathered} \frac{3\text{ }}{4}\text{=}\frac{60\text{ yards}}{x} \\ 3x=60\times4\text{ yards} \\ x=\frac{60\times4}{3}\text{ yards} \\ x=80\text{ yards} \end{gathered}\)Hence, the perimeter of the figure F is 80 yards.
Find the average value of the functions on the given interval.
Average value of
f\left(x\right)=x [4,9]
The average rate of change of the function over the interval is 1
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = x
The interval is given as
From x = 4 to x = 9
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(4) = 4
f(9) = 9
Next, we have
Rate = (9 - 4)/(9 - 4)
Evaluate
Rate = 1
Hence, the rate is 12
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The population density, D, in people/square mile (p/mi²), for the large city Westport is related to the distance x (in miles) from the city’s center by the equation:________.
D=4300x /x^2 + 40.
a. Describe what happens to West-port's population density as the distance from the city’s center changes from one mile to six miles. What may explain this phenomenon?
b. Describe what happens to West-port's population density as the distance from the city’s center changes from ten miles to thirty miles.
c. Describe the end-behavior of this function? What may explain this phenomenon?
d. In what areas of the city is the population density below 200 p/mi²?
Answer:
Step-by-step explanation:
D=4300x /x² + 40.
x = 1
D = 4300 / 41 = 104.88 p / mi²
x = 6
D = 25800 / 76
= 339.47 p / mi²
Population density increases as we go away from city's centre .
b )
x = 10
D=4300x /x² + 40.
D = 307.14 p/ mi²
x = 30
D = 137.23 p / mi²
Population decreases .
c )
when x is very high , density will decrease due to squared denominator whose value increases very fast .
d )
D < 200
4300x /x² + 40 < 200
4300 x < 200 x² + 8000
43 x < 2 x² + 80
2 x² - 43 x + 80 > 0
( x - 19.44 ) ( x - 2.05 ) > 0
Range x < 2.05
x > 19.44
WHO IS THIS
If I had to
I would put myself right beside you
So let me ask, would you like that?
Would you like that?
And I don't mind
If you say this love is the last time
So now I'll ask, do you like that?
Do you like that? No!
Something's getting in the way
Something's just about to break
I will try to find my place
In the diary of Jane
So tell me how it should be
Try to find out
What makes you tick, as I lie down
Sore and sick, do you like that?
Do you like that?
There's a fine line
Between love and hate and I don't mind
Just let me say that I like that
I like that
Something's getting in the way
Something's just about to break
I will try to find my place
In the diary of Jane
As I burn another page
As I look the other way
I still try to find my place
In the diary of Jane
So tell me how it should be
Desperate I will crawl
Waiting for so long, no love
There's no love
Die for anyone
What have I become?
Something's getting in the way
Something's just about to break
I will try to find my place
In the diary of Jane
As I burn another page
As I look the other way
I still try to find my place
In the diary of Jane
Answer:
Breaking Benjamin-Diary of Jane
Answer:
chili dog
Step-by-step explanation:
which expression is a cube root of -2i?
The cube root of -2i,
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
We can represent -2i in polar form as,
r(cosθ + i sinθ)
by computing its magnitude and angle.
The magnitude of -2i is 2
Since the absolute value of any imaginary number is equal to its magnitude.
To find the angle θ,
We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case,
The opposite side is -2 and the adjacent side is 0.
Therefore, we have tanθ = -2/0, which is undefined.
However,
We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.
So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).
Now, we need to find the value of θ/3. Since θ is undefined,
we will represent it as π/2 + 2πn,
where n is any integer.
So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.
Therefore, the cube root of -2i is equal to
⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]
Now put n = 0
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
This is the final form of the cube root of -2i in the required form.
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Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
help me find the area of the given triangle to the without height
Round 789,091 to nearest ten thousands
Answer: 790000 *(੭*ˊᵕˋ)੭*ଘ
PLEASE HELP I WILL MARK BRAINLIST
Answer: 1. is b
2. is c
3. is c
4. is B
5, is A i think but im not sure about 5
Step-by-step explanation:
Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.
Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.
Answer:
The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.
Step-by-step explanation:
which is the following fraction is the smallest?9/13 ,17/26, 28/39, 33/52
Answer:
I THINK ITS A. 9/13 BECAUSE THE QUESTION SAID THAT FRACTION IS THE SMALLESTStep-by-step explanation:
I HOPE IT HELPS :)
5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3
Answer:
B
Step-by-step explanation:
The volume of a prism is the area of the cross section x length
The area of the cross section:
Area of a triangle = \(\frac{base * height}{2}\) so \(\frac{6*4}{2} = 12\)
12 x 16 = 192 so B
Answer:
Step-by-step explanation:
Draw the image of the figure under thegiven transformation.5. 180° rotation6.reflection across the x-axis7. (X,y) - (x - 4, y + 1)8. reflection across the y-axis
To obtain the 180° rotation, obtain the (-x,-y) coordinates of the given (x,y) coordinates.
The given coordinates of the points are as follows.
\(A(3,0),B(1,4),C(5,3)\)Thus, the new coordinates will be as follows.
\(A^{\prime}(-3,0),B^{\prime}(-1,-4),C^{\prime}(-5,-3)\)Plot the coordinates in a Cartesian coordinate system and then connect the points.
Round to the nearest tenth: 6.752
Answer:
6.8
Step-by-step explanation:
To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.
Calculate 18t -t +6q-6
Answer:
17t+6q-6
Step-by-step explanation:
18t -t +6q-6
Combine like terms
17t+6q-6
Answer:
17t+6q-6
Step-by-step explanation:
18t-t =17t
others don't change as they are not the factors of the same character
In the following triangle, what is the value of n?
Given that the triangle is a right triangle, the value of sin (n) is √5/5.
Hence, option D)√5/5 is the correct answer.
What is the value of sin(n) in the triangle?Trigonometry is simply a branch in mathematics that looks into the relationships between angles and side lengths of a triangle.
Given the data in the question;
Hypotenuse = 2√5Opposite of angle n = 2Adjacent of angle n = 4To determine the value of sine n, we will use one of six functions of an angle commonly used in trigonometry.
Sine of angle n = Opposite of angle n / Hypotenuse
sin(n) = Opposite / Hypotenuse
Plug in the given values and simplify
sin(n) = Opposite / Hypotenuse
sin (n) = 2 / 2√5
Next, rationalize the denominator.
Cancel out the common factor 2.
sin (n) = 2 / 2√5
sin (n) = 1 /√5
Multiply both the numerator and the denominator by √5.
sin (n) = (1×√5) / (√5 × √5)
sin (n) = √5/5
Given that the triangle is a right triangle, the value of sin (n) is √5/5.
Hence, option D)√5/5 is the correct answer.
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What is hypotenuse? Need to get a good answer ASAP
Answer:
Hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Step-by-step explanation:
The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
HOPE THIS HELPED!! :)
Answer:
A hypotenuse is the longest side of a right triangle, and also the side which is opposite to the right angle.
:D
Kate ordered a set of beads. She received 40 beads in all. 12 of the beads were blue. What percentage of the beads were blue?
Answer Qucikly
Answer: 30%
Step-by-step explanation:
12/40 = 3/10 = 0.30
0.30*100 = 30%
Which expression is equivalent to?
Please help me quick!
Hi!
The answer to this expression is x^4 or d
Feel free to give brainliest!
Identify whether each function is linear or exponential.
Function A:
Function C
Function D:
You have $200 in
a savings
account that
earns 1% annual
interest
b. Which function has the greatest growth factor? Justify your response.
Answer:
A)
Function A: Exponential
Function B: Linear
Function C: Exponential
Function D: Exponential
B) Function A
Step-by-step explanation:
Function A: This is exponential because- (1, 3)(2,9)(3,27)
It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.
Function B: This is linear because- (1, 64)(1, 80)(1, 96)
It is going up by 16 each time, (a constant number) which means it is linear.
Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.
Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.
The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.
The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 60 feet. If w is the width of the rectangle, which expression represents the length?
w+5
w−5
5w
1/5w
Answer:
5
Step-by-step explanation:
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías?
Answer:
Step-by-step explanation:
12. Reason The graph of y = -x + 2 is negativeover the interval (4, ) and positive over theinterval (-0, 4). What happens on the graphwhen x= 4? Explain. MP.2
The given function is expressed as
\(\begin{gathered} y\text{ = -}\frac{1}{2}x\text{ + 2} \\ \text{We would substitute x = 4 into the given function. It becomes} \\ y\text{ = - }\frac{1}{2}\times\text{ 4 + 2} \\ y\text{ = - 2 + 2} \\ y\text{ = 0} \end{gathered}\)At x = 4, y = 0
Thus, the graph crosses the x axis at x = 4
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Connie deposited $1200 in a new account that earns 3% simple interest. After 7 years, how much interest will she have earned?
Answer:
$252
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 1200 × 0.03 × 7 = 252
I = $ 252.00
The simple interest accumulated
on a principal of $ 1,200.00
at a rate of 3% per year
for 7 years is $ 252.00.
write down the recurrence, which denes the running time of the following algorithm and solve it using any method you like. justify your answers. 1: function sillyrecursion(n) 2: if n < 2 3: return 1 4: else 5: x
The running time of the algorithm is O(n^2).
The recurrence for this algorithm can be expressed as follows:
T(n) = 1 if n < 2
T(n) = 4T(n/2) + n(n-1)/2 if n >= 2
We can solve this recurrence using the Master Theorem. According to the Master Theorem, if a recurrence of the form T(n) = aT(n/b) + f(n) can be solved using the following three cases:
If f(n) = O(n^c) where c < logb(a), then T(n) = O(n^(logb(a))).If f(n) = O(n^c) where c = logb(a), then T(n) = O(n^c * log n).If f(n) = O(n^c) where c > logb(a), then T(n) = O(f(n)).In our case, a = 4, b = 2 and f(n) = n(n-1)/2. By plugging in these values, we get logb(a) = log2(4) = 2.
Since f(n) = n(n-1)/2 = O(n^2), and c = 2 > logb(a) = 2, we can conclude that T(n) = O(f(n)) = O(n^2).
Therefore, the running time of the algorithm is O(n^2).
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Your question is incomplete but probably the full question is:
Write down the recurrence, which defines the running time of the following algorithm and solve it using any method you like. Justify your answers. 1:
function SILLYRECURSION(n) 2:
if n < 2 return 1
else
x=0
for i=1 to 4
x= x + SILLYRECURSION( N/2)
for i=1 to n - 1
for j =i to n
x= x+1
return x
The picture can be represented by the equation 40 divided by 8 equals 5.
Answer:
what is to do here
\( \sqrt[8]{40} = 4 \\ 5\)
the answer like this up will be 5 what grade question