9514 1404 393
Answer:
1. (a) -√5
2. 3/5
Step-by-step explanation:
1. sec²(θ) = tan²(θ) +1
sec²(θ) = (-2)² + 1 = 5
sec(θ) = ±√5
In the second quadrant, secant is negative, so ...
sec(θ) = -√5
__
2. cos(θ) = 1/sec(θ)
cos(θ) = 1/(5/3)
cos(θ) = 3/5
Please help with either of these questions. Put the answer in the comments please
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow: Month Machine Hours Electricity Costs January 2,000 $ 18,950 February 2,400 $ 22,100 March 1,400 $ 14,050 April 2,600 $ 24,100 May 3,300 $ 28,800 June 2,800 $ 23,100 July 3,600 $ 25,300 August 3,000 $ 23,300 September 1,500 $ 16,600 October 3,200 $ 27,100 November 4,200 $ 32,100 December 3,700 $ 28,300 Summary Output Regression Statistics Multiple R 0.960 R Square 0.921 Adjusted R2 0.913 Standard Error 1,545.17 Observations 12.00 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 7,465.99 1,566.61 4.77 0.00 3,975.37 10,956.62 Machine Hours 5.76 0.53 10.78 0.00 4.57 6.95 If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is: (Round intermediate calculations to 2 decimal places.)
Answer:
If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
Step-by-step explanation:
Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:
Month Machine Hours Electricity Costs
January 2,000 $18,950
February 2,400 $22,100
March 1,400 $14,050
April 2,600 $24,100
May 3,300 $28,800
June 2,800 $23,100
July 3,600 $25,300
August 3,000 $23,300
September 1,500 $16,600
October 3,200 $27,100
November 4,200 $32,100
December 3,700 $28,300
The explanation of the answer is now provided as follows:
Step 1: Calculation of variable cost per hour
From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:
Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857
Rounding to 2 decimal places as required, we have:
Variable cost per hour = $6.45
Therefore, the variable-cost components using the high-low method is $6.45.
Step 2: Calculation of total fixed cost
The formula for calculating the total cost is given as follows:
Total cost = Total Fixed Cost + Total Variable Cost ................. (1)
Where;
Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs
Using highest levels of activity and substitute into equation (1), we have:
$32,100 = Total Fixed Cost + ($6.45 * 4,200)
Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010
Therefore, the fixed-cost components using the high-low method is $5,010.
Step 3: Derivation of the cost equation for electricity costs
The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:
Total Fixed Cost = $5,010
Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours
Substituting the values into equation (1), we have:
Total cost = $5,010 + ($6.45 * Machine hours)
Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
Listed below:
Step-by-step explanation:
P: 192
A:2079
B. Area
C. Perimeter
Hope this helps :)
Determine the domain and range for the relation in interval notation.
What is the sum of 2 + 0.42 + 1.8?
Answer:
4.22
Step-by-step explanation:
2 + 0.42 + 1.8 = 4.22
Please mark as brainliest! <3
Answer:
The sum of 2 + 0.42 + 1.8 is 4.22
hope it helps :)
Will the sum of 56+ (-56) be Positive negative or zero
Answer:
zero
Step-by-step explanation:
56+(-56),thus
the negative overcomes the positive,
56-56
0
What is sum of the vectors, (4.-5) and (10,2)?
(-6, 7)
(14,-3)
(14,7)
(15,6)
Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
wat is x in 1/3x - 11 = 5
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
Carlos thinks of a number. When he adds 17 to it, the result is 45. What is the number that Carlos thought of?
(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.
Answer:
It lies on the hypotenuse of the right triangle.
Step-by-step explanation:
It lies on the leg of the right triangle. Then the correct option is B.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A right triangle was rotated to create this figure.
Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.
It lies on the leg of the right triangle. Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
What is 11.3 divided by 3
Answer:
it's 3.7666 and so on. It's a repeating decimal.
Step-by-step explanation:
The length of a planet's orbit around a star is approximately 17,680,000 km.
It takes the planet about 860 Earth days to complete a full orbit.
What is the planet's average speed in kmh 1 to 3sf?
Answer: 856.59 km/h
Step-by-step explanation:
Length of a planet's orbit around a star = 17,680,000 km.
Days to complete full orbit = 860 days
Number of hours to complete full orbit = 860 × 24 hours = 20640 hours
The planets average speed in km/h will be:
= Distance / Time
= 17,680,000 / 20640
= 856.59 km/h
Note: 24 hours = 1 day
what is the remainder for 192,856÷37
Answer:
5212 12/37 is the answer
Reall quick pls! Thank you.
Answer:
1/6 are oranges bc if half are apples 1/2 and 1/3 is bannas we need to make those fraftions match so we multiply 1/2 by 3 and 1/3 by 2 giving us a fraction over 6 which then we add what we already know so 3/6 is apples and 2/6 is bannas we add them together we get 5/6 which leaves us with 1/6 oranges
Step-by-step explanation:
10 minus the product of 5 in the number G is more than 80
Answer:
10-5g >80
Step-by-step explanation:
10-5g >80
This is the statment if u want it.
Lizzy ran 2/3 of an hour for four days. How many total hours did Lizzy run?
Answer:
Well lizzie stevens from Greys better stop running if she got cancer
Step-by-step explanation:
What equation is the equivalent to 2x^2-24x-14=0
Answer:
2(x^2-12x-7)
Step-by-step explanation:
what is the shape of a normal curve in statistics
Answer:
oval yeah oval
Step-by-step explanation:
Write an equation that has vertical asymptotes at x=7 and x= -2 and a horizontal asymptotes at y= 1
Answer:
Step-by-step explanation:
(1+(x-7)(x+2))/((x-7)(x+2))
(x^2-5x-13)/(x^2-5x-14)
Please help ASAP. Thanks so much
Answer:
I would say D.) 6
Step-by-step explanation:
The positive side of the graph is the right side of the y-axis.
The line passes through the point (6,0)
Answer: 6
Step-by-step explanation: The x-intercept is the point where the parabola crosses the x-axis and notice that this parabola crosses the x-axis.
In this case, the positive x-intercept is 6.
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.
The explicit rule for the geometric sequence is aₙ =
Step-by-step explanation:
i guess math is the hardest subject
Answer:
The answer is aₙ = 2,500 (6/5)^n-1
Hope i helped, have a wonderful day! :D
I NEED EQUATIONS FROM THESE POINTS, PLEASE HELP.
Answer:
Hey There your answers are in the below!!
Step-by-step explanation:
# 5
M = -5
# 6
= 0
#7
= 180
# 8
= 0
- Me!
1. How many calories are in the smoothie that
contains 51 grams of sugar?
2. How many grams of sugar are in the smoothie
that contains 250 calories?
Answer:
responde la pregunta tú sólo déjame en paz
The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Solve these problems using the conversion unit for calorie to gram.
(1) 1 gram = 4 calories
Then, 51 grams = 51 × 4
= 204 calories
(2) 4 calorie = 1 gram
1 calorie = 1/4 gram
250 calorie = 1/4 × 251
= 62.5 gram
Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.
To know more about measurement unit click on,
https://brainly.com/question/15402847
#SPJ2
This is geometry help 25 points!
Answer:
x=14
y= 12.12436 = 7√3
Step-by-step explanation:
Hope this helps:)
Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96
Answer:
it will take her 16 days
Step-by-step explanation:
what is Z x-2, when x=2 and z=2
Answer:
2
Step-by-step explanation:
2x2-2=2
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x- 12). What
is the standard form of the equation for this line?
X - 4y = 8
x -4y = 2
4x - y = 8
• 4X -y=2
Answer:
ffffffffff
Step-by-step explanation:
fffffffffffffff
Answers
- The median of the date for Store 2 is greater than the median of the date for Store 1
-the mode of the date for Store 1 is less than the mode of the date for Store 2
-the mean of the data for Store 1 is less than the mean of the data for Store 2
-The range of the data for Store 1 is greater than the range of the data for Store 2
HURRY I NEED HELP ILL GIVE YOU THE BRAINLIEST COME ON PLEASE!!!!!!!!
Answer:
502.5pi or 1578.1415
Step-by-step explanation:
find area of one triangle (BH divided by 2), then multiply it by two since there are two, then find area of circle(pir^2), divide in half because it is a semi-circle, add the areas together
2+2?
5+6?
3+0? Pl tew awser
