Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 60 degrees at midnight and the high and low temperature during the day are 80 and 40 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.I don’t understand how my answer is wrong
Answers
The range of the sin graph is the difference between the maximum and the minimum temperatures.
range = 80-40
amplituted = range/2 = 20
We also know that the period is 24 hours:
\(\begin{gathered} \frac{2\pi}{k\text{ }}\text{ = 24} \\ k\text{ = }\frac{\pi}{12} \end{gathered}\)When t = 0, temperature = 60
But we are told that the temperature does decrease after midnight so we need to flip the function vertically to make sure that it is still set to decrease and reach a minimum after midnight.
\(D(t)\text{ = -20sin\lparen}\frac{\pi}{12}t)\text{ + 60}\)Related Questions
need help asap!!! just number 5 i’ll give you brainiest answer!
Answers
Answer:
Step-by-step explanation:
(3x + 2) + (x - 4) = 90
4x - 2 = 90
4x = 92
x = 23
m∠A = (3(23) + 2) = 71°
Step-by-step explanation:
please mark me as brainlest
inspect a sketch of typical solution curves to determine the points for which the initial value problem has a unique solution.
Answers
We have to find solutions for the given differential equation when
y = 0, y = 1/(k-x) and y(a) = b using ordinary differential equations.
We have dy / dx = y^2
a. let's define the given y = 1/(k-x)
derive the above equation with respect to x :
dy / dx = y' = 1/(k-x)^2
So this is the general solution.
b) We would want a singular solution that is not included in the general form. Here we could use y = 0
dy / dx = 0 = 0^2
so,this is a trivial singular solution.
c) If we have y(a) = b,
then, y = 1(k-a) = b
To find the value of k we use the other condition: y'(^2) = 4 x y(2)
1/(k-a)^2 = 4 x 1/(k-a)
k - 2 = 1/4
therefore, k = 9/4
hence we got, y = 1/(9/4 - a) = b
So the points (a, b) are of the form: (a, 1/(9/4 - a))
Learn more about differential equations here :
https://brainly.com/question/14620493
#SPJ4
The complete question is :
Find a general solution of the differential equation dy/dx=y2
b. Find a singular solution that is not included in the general solution.
c. Inspect a sketch of typical solution curves to determine the points (a,b) for which the initial value problem (y′)2=4y,y(a)=b
Which is NOT a solution to
cosØ=3√2
Select one:
a.−π/6
b.5π/6
c.11π/6
d.π/6
Answers
Answer:
b. 5π/6 is not a solution to cosØ=3√2.
Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.
Answers
Answer:
\(\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}\)
Step-by-step explanation:
\(\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>\)
Answer:
Step-by-step explanation:
-u-v = 6,-11
u-v = -10,-3
v-u = 10,3
What is the cos A? ....
Answers
Answer:
4/5
Step-by-step explanation:
CosA= A/H
Adjacent/hypotenuse
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided
Answers
Answer:
b. -3
Step-by-step explanation:
30 - 3 = 27
27 - 3 = 24
24 - 3 = 21....
c) A human resource analyst wants to know if the applicants this year score, on average, higher on their placement exam than the 52.5 points the candidates averaged last year. She samples 50 recent tests and finds the average to be 54.1 points. She fails to reject the null hypothesis that the mean is 52.5 points. At the end of the year, they find that the candidates this year had a mean of 55.3 points. Choose the correct answer below. A. The analyst did not make an error. The actual value was 55.3 points, which is close to 52.5. B. The analyst made a Type I error. The actual value was 55.3 points, which is greater than 52.5. C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5. D. The analyst made a Type II error. The actual value was 55.3 points, which is close to 52.5. E. The analyst made a Type I error. The actual value was 55.3 points, which is close to 52.5.
Answers
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
The null hypothesis was the applicants last year score, on average was 52.5 points.
Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.
At the end of the year, they find that the candidates this year had a mean of 55.3 points.
A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
SCREENSHOT OF MY QUESTION:
Answers
Answer in fraction form = 9/8
Answer in decimal form = 1.125
note: the improper fraction 9/8 converts to the mixed number 1 & 1/8
To get this answer, we divide both sides by 8 to isolate n. The expression 8n really means "8 times n". We divide to undo the multiplication.
Can I please get help I don’t know how to use the numbers on the front
Answers
Can a trangle have lengths of 1 , 1 and 6
Answers
Answer: No it can't
You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.
Hope this helped you!
Find the value of x in each case:
Answers
9514 1404 393
Answer:
x = 36
Step-by-step explanation:
The interior angle at E is (180-2x). The interior angle at F is (180-4x). The sum of the interior angles of the triangle is 180, so we have ...
(180 -2x) +x +(180 -4x) = 180
180 = 5x . . . . . . add 5x-180 to both sides
36 = x . . . . . . . divide by 5
__
Additional comment
This value of x makes the exterior angles at E and F be 72° and 144°, respectively. The internal angles at E, F, G are then 108°, 36°, 36°, making the triangle isosceles with EF = EG.
graph h(x)=(x-1)^2-9
Answers
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
for such more question on parabola
https://brainly.com/question/9201543
#SPJ8
Find the midpoint of each line segment.
Answers
Answer:
(1.5, 0.5)
Step-by-step explanation:
(5, 3) and (-2, -2)
5 - 2 / 2 = 1.5
-2 + 3 / 2 = 0.5
Solve the equation for w.
4w + 2 + 0.6w = −3.4w − 6
No solution
w = 0
w = 1
w = −1
Answers
Answer:
w = -1
Step-by-step explanation:
Given equation:
\(4w + 2 + 0.6w=-3.4w-6\)
Add 3.4w to both sides:
\(\implies 4w + 2 + 0.6w+3.4w=-3.4w-6+3.4w\)
\(\implies 4w + 2 + 0.6w+3.4w=-6\)
Subtract 2 from both sides:
\(\implies 4w + 2 + 0.6w+3.4w-2=-6-2\)
\(\implies 4w +0.6w+3.4w=-6-2\)
Combine the terms in w on the left side of the equation and subtract the numbers on the right side of the equation:
\(\implies 8w=-8\)
Divide both sides by 8:
\(\implies \dfrac{8w}{8}=\dfrac{-8}{8}\)
\(\implies w=-1\)
Therefore, the solution to the given equation is:
\(\boxed{w=-1}\)
Given that,
→ 4w + 2 + 0.6w = -3.4w - 6
Now the value of w will be,
→ 4w + 2 + 0.6w = -3.4w - 6
→ 4.6w + 2 = -3.4w - 6
→ 4.6w + 3.4w = -6 - 2
→ 8w = -8
→ w = -8/8
→ [ w = -1 ]
Hence, the value of w is -1.
What is the distance between the points (-2,1) and (5,-4)
Answers
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Learn more about distance between two points:
https://brainly.com/question/23848540
https://brainly.com/question/7243416
https://brainly.com/question/15973889
#SPJ1
Find the area of the shape shown below.
Answers
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
You purchase 200 shares for $70 a share ($14,000), and after a year the price falls to $80. Calculate the percentage return on your investment if you bought the stock on margin and the margin requirement was (ignore commissions, dividends, and interest expense): 20 percent
Answers
Answer: First, calculate the total value of the shares after the price fall to $80:
value = 200 shares * $80/share = $16,000
Then, calculate the amount of money borrowed:
borrowed = $14,000 / (1 - margin requirement)
= $14,000 / (1 - 0.20)
= $14,000 / 0.80
= $17,500
Finally, calculate the percentage return on investment:
return = (value - borrowed) / borrowed * 100%
= ($16,000 - $17,500) / $17,500 * 100%
= -6.06%
The return on investment is -6.06%, meaning that the investment lost 6.06% of its value.
Step-by-step explanation:
Solve for x. Round answers to the nearest tenth.- 17 75
Answers
Answer:
Step-by-step explanation:
17/x + 75/x = 1, we can combine the two fractions by finding a common denominator. The common denominator is x. So we have:
(-17 + 75)/x = 1
58/x = 1
x = 58
Given the costs associated with insurance, why do companies provide insurance plans to employees?
Answers
Company should provide insurance policies to employees because the employees are assets to them.
What is meant by Insurance Policies?An insurance policy is a contract between the insurance company and the person getting the insurance.
Employees are assets of a company.
Companies should look after by insuring this asset like any other asset.
Although it is not the only factor for an employee to stick to a company, it is also one of the contributing factor for the employees to stick to a company longer.
It is a very good benefit for the employee since the premium is paid by the employer for the employee.
Hence companies should provide insurance policies to employees.
Learn more about Insurance Policies here :
https://brainly.com/question/29829383
#SPJ9
Need help I don’t Leno what to do
Answers
Answer:
\(=\sqrt{125} +\sqrt{36+64} \\=5\sqrt{5}+\sqrt{100} \\=5\sqrt{5}+10\\=10+5\sqrt{5}\)
Hence second option is your answer
Step-by-step explanation:
Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).
Answers
Answer:
y=1/2t+1
Step-by-step explanation:
To get a perpendicular line, the slopes have to be reciprocals.
An apple has 80 calories. This is 12 less than 1/4 the number of calories in a package of candy. How many calories are in the candy.
Pls helpp
Answers
Answer:
368 calories are in the candy.
Step-by-step explanation:
80 + 12 = 92.
92 x 4 = 368.
Please give me the correct answer. If you don't know the answer, then please don't just type something in just to get points.
Answers
Answer:
2000000000 ants would equal 1 elephant.
Step-by-step explanation:
8 x 10^6 = 8000000
4 x 10^-3 = 0.004
8000000 ÷ 0.004 = 2000000000
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Consider the line y=-8x+6.
Find the equation of the line that is parallel to this line and passes through the point (7, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (7, 5).
Answers
The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.
What is the equation of line parallel and perpendicular to the given line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line:
y = -8x + 6
Using the slope intercept:
Slope m = -8
Since the desired line is parallel, it will have the same slope.
Therefore, the slope of the parallel line is also -8.
Plug in the slope m = -8 and the poin (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
( y - 5) = -8( x - 7 )
Simplify
y - 5 = -8x + 56
y = -8x + 56 + 5
y = -8x + 61
The equation of the parallel line is y = -8x + 61.
For the perpendicular line:
The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.
Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)
Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
solve for x 7x^2+49=0
Answers
Answer:
\(7 {x}^{2} + 49 = 0 \\ 7( {x}^{2} + 7) = 0 \\ \frac{7( ({x}^{2} + 7) }{7} = \frac{0}{7} \\ {x}^{2} + 7 = 0 \\ {x}^{2} = - 7\)
NOTE THERE IS NO SOLUTION FOR THE GIVEN EQUATION SINCE THE SQUARE OF ANY NUMBER CANNOT GIVE A NEGATIVE NUMBER.
THE SQUARE OF ANY NUMBER WHETHER IT'S POSITIVE OR NEGATIVE ALWAYS GIVES A POSITIVE NUMBER.
GOODLUCK!!
In the given figure ABC is an equilateral triangle.if CDE=60, show that CDE is also and equilateral.
(sorry for the blurry photo, the print came like that)
Answers
Since ABC is an equilateral triangle, all three sides have equal length, and all three angles have equal measure (60 degrees). This means that angles ADC, BDE, and CDA are all equal to 60 degrees.
Since angles ADC and CDA add up to 180 degrees (a straight line), the measure of angle BDE must also be equal to 60 degrees. Thus, all three angles of CDE are equal to 60 degrees.
To show that all three sides of CDE have equal length, we can use the fact that opposite sides of a parallelogram have equal length. Since CD and DE are opposite sides of parallelogram CDE, they have equal length. Similarly, CE and CD have equal length. Therefore, all three sides of CDE have equal length, and CDE is an equilateral triangle.
4 examples of one step equation
Answers
Answer:
Step-by-step explanation:
x + 14 = 20
4 = x²
x/4 = 50
x - 7 = 1
Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. 33 ft 8 ft 25 ft 35 ft 43 ft
Answers
The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. Point A is on ordered pair negative 4, 5, and the point B is on ordered pair 5, 5.
If the area of the rectangle to be drawn is 90 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?
C(4, −5), D(−3, −5)
C(5, −4), D(−4, −4)
C(5, −5), D(−4, −5)
C(−5, 5), D(−5, −4)
Answers
Answer:
C(5, −5), D(−4, −5)
Step-by-step explanation:
9 across
A(-4, 5) ————————— B(5, 5)
| |
| 90 square units | 10 down
| |
D(-4, -5) ————————— C(5, -5)
Find the measure of each angle (in degrees) of
▱ABCD.
m∠A =
°
m∠B =
°
m∠C =
°
m∠D =
Answers
Answer:
∠A = 88°
∠B = 92°
∠C = 88°
∠D = 92°
Step-by-step explanation:
∠A + ∠B = 180°
(2x + 4) + (3x - 34) = 180
reduce:
5x - 30 = 180
5x = 210
x = 42
∠A = 2(42) + 4 = 88°
∠B = 3(42) -34 = 92°
∠C = ∠A = 88°
∠D = ∠B = 92°