Answer: C
Step-by-step explanation:
The negative is affecting the whole equation, so it is flipped over y. The 2 is also affecting the whole equation, so it is vertically compressed.
An equation for a tangent to the graph of y = arcsin(x/2) at the origin is: A. y = 4x B. x=2y C. y = x D. ax = 2y
The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).
To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.
The derivative of
y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).
At the origin, x = 0, so the slope of the tangent at the origin is
y' = (1/2)cos(0) = 1.
Therefore, the equation for the tangent to the graph of
y = arcsin(x/2) at the origin is y = x, which has a slope of 1.
Learn more about graph here
https://brainly.com/question/17267403
#SPJ4
v=u + at
u= 2
a = -5
t = Î
2
Work out the value of v.
Answer:
Step-by-step explanation:
a = 5 n, Î = 5 n, t = -2 n, u = 5 n, n element Z
The point (0, 0) is a solution to which of these inequalities?
O Ay+7<2x - 6
OB. y-7<2x-6
OC. y-6<2x-7
OD. y+7<2x+6
The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
The point (0, 0) is a solution to which of these inequalities are satisfied.
A. y+7<2x - 6
7 < -6
So, it is incorrect.
B. y-7<2x-6
-7 < -6
So, it is correct.
C. y-6<2x-7
-6 < -7
So, it is incorrect.
D. y+7<2x+6
7 < 6
So, it is incorrect.
Hence, option B is the only correct answer.
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1
A park charges $8 per hour to rent a bike
Choose the equation that models the situation, where c represents the total cost and
h represents the number of hours of bike rental.
Calculate the 95% confidence interval for the following fictional data regarding daily TV viewing habits: µ= 4.7 hours; σ= 1.3 hours; sample of 78 people, with a mean of 4.1 hours.
We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.
To calculate the 95% confidence interval, we use the formula:
CI = x' ± Zα/2 * (σ/√n)
Where:
x' = sample mean
Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)
σ = population standard deviation
n = sample size
Substituting the given values, we get:
CI = 4.1 ± 1.96 * (1.3/√78)
Calculating the standard error (SE) first:
SE = σ/√n
SE = 1.3/√78
SE ≈ 0.147
Then we substitute the SE value in the CI formula:
CI = 4.1 ± 1.96 * 0.147
CI = 4.1 ± 0.288
CI = (3.812, 4.388)
To learn more about confidence interval click on,
https://brainly.com/question/13956031
#SPJ4
madi sells 23oz cans of jelly beans for 63 cents and 15oz cans for 45 cents. assume that the price varies linearly with the number of ounces.
Is the pair of equations y 0 and y =- 7 will have?
No Solution.
Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
Learn more about no solution equation at https://brainly.com/question/14603452.
#SPJ4
What are the slopes of GH, HI, IJ, JG
The slopes of GH, HI, IJ, and JG include the following:
Slope GH = 2.Slope HI = -4.Slope IJ = 2.Slope JG = -4.How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope GH = (-3 + 9)/(-4 + 7)
Slope GH = 6/3
Slope GH = 2.
Slope HI = (5 + 3)/(-6 + 4)
Slope HI = -8/2
Slope HI = -4.
Slope IJ = (-1 - 5)/(-9 + 6)
Slope IJ = -6/-3
Slope IJ = 2.
Slope JG = (-9 + 1)/(-7 + 9)
Slope JG = -8/2
Slope JG = -4.
Read more on slope here: brainly.com/question/3493733
#SPJ1
What is the domain of the functions f(X) =x^2 -36/X+6 in set notation and in interval notation.
The domain of the given function is the set of all real numbers.
What is the domain of the function?
For a function y = f(x) we define the domain as the set of the possible inputs of the function.
Here we have the function:
f(x) = (x² - 36)/(x + 6)
First, let's rewrite the function, we know that we can rewrite:
x² - 36 = x² - 6² = (x + 6)*(x - 6)
Then we can rewrite the function as:
f(x) =(x + 6)*(x - 6)/(x + 6)
f(x) = x - 6
So we have a linear function, then the domain is the set of all real numbers.
Learn more about domain at:
https://brainly.com/question/1770447
#SPJ1
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To learn more about probability click here:
brainly.com/question/31828911
#SPJ11
The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To learn more about probability click here:
brainly.com/question/31828911
#SPJ11
1/3 of 6 equals what
Answer:
2
Step-by-step explanation:
1/3 of 6 is the same as 6/3 which is 2. I hope this helps and I hope it's not wrong but I don't think it is.
Answer:
2
Step-by-step explanation
1/3 times 6/1 equals 6/3 then divide 6 by 3 and it would equal 2.
What is the probability you spin something larger than 10
The probability you spin something larger than 10 will be 1 / 2.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.The probability will be calculated as:-
Total numbers = 8
Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4
Probability = 4 / 8 = 1 / 2
Therefore the probability you spin something larger than 10 will be 1 / 2.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ4
find the area of this parallelogram in unit9yd13 yd10 yd
Given: A parallelogram with the dimension below
\(\begin{gathered} b=\text{base}=13yd \\ h=\text{height}=9yd \\ a=\text{slant side=10yd} \end{gathered}\)To Determine: The area of the given parallelogram
The area of a paralleogram is given by the formula
\(A_{\text{PARALLELOGRAM}}=\text{base}\times height\)Substitute the base and the height into the formula
\(\begin{gathered} A_{\text{PARALLELOGRAM}}=13yd\times9yd \\ A_{\text{PARALLELOGRAM}}=117yd^2 \end{gathered}\)Hence, the area of the given parallelogram is 117yd²
The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.4 sine (1760 pi t). what is the maximum displacement of the tuning fork? 0.2 mm 0.4 mm 0.8 mm 2.5 mm
The maximum displacement of the tuning fork is 0.4 mm
How to determine the maximum displacement?The equation of the function is given as:
d = 0.4 sine (1760 pi t)
The above equation is a sine equation.
A sine equation is represented as:
f(t) = A sin(Bt + C) + D
Where A represents the maximum/amplitude
By comparison, we have:
A = 0.4
Hence, the maximum displacement of the tuning fork is 0.4 mm
Read more about sine functions at:
https://brainly.com/question/9565966
#SPJ4
Answer:
0.4 mm
Step-by-step explanation:
The answer above is correct.
Do anybody know this?
The coordinate of the point U that divides the line ST in the ratio 2:5 is: (12:6)
What are the coordinates of the division of the line segment?The formula for the division of line segments in the ratio m:n is
P = {[(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]}
We are given the coordinates of line Segment ST as: S(10, 2) and T(17, 16)
Thus, if the ratio is 2:5, we have:
U(x, y) = {[(2*17 + 5*10)/(2 + 5)], [(2*16 + 5*2)/(2 + 5)]}
U(x, y) = (84/7), (42/7)
U(x, y) = (12, 6)
Thus, that is the coordinate of the point U that divides the line ST in the ratio 2:5.
Read more about Division of Line segment at: https://brainly.com/question/7784483
#SPJ1
Oregon has 190 golf courses with a population of 4,301,089. How many golf courses does Oregon have per 100,000 people? Round to the nearest whole number.
Oregon has 5 golf course per 100,000 people.
How to perform butterfly method of multiplication?The butterfly method for adding or subtracting fractions is:
Write the fractions side by side as you normally would, but this time draw two wings along the diagonals formed by the numerator of one fraction and the denominator of the other fraction.
Multiply the numbers in each wing as shown by the wings, which resemble a multiplicand.
To give it a body, join the lower halves of the wings together to form a loop that resembles a body. Then, multiply the two denominators it joins to place the result within the body.
Adjust the numbers in the antennas in accordance with how fractions are being altered, then add or subtract the resulting value from the body number.
If required, simplify or minimize the outcome.
Given that the golf course for 4301089 people is 190.
4201089 = 190
100000 = x
Using the butterfly method for multiplication we have:
x = 190 * 100000 / 4201089
x = 5
Hence, Oregon has 5 golf course per 100,000 people.
Learn more about cross multiplication here:
https://brainly.com/question/15209325
#SPJ1
Using a double-angle or half-angle formula to simplify the given expressions.
(a) If cos² (38°) - sin² (38°) = cos(A°), then A=. Degrees
(b) If cos² (8x) - sin² (8x) = cos(B), then B=.
(a) Using the identity cos²θ - sin²θ = cos(2θ), we can simplify the expression as follows:cos²(38°) - sin²(38°) = cos(2×38°)= cos(76°)Therefore, A = 76°.
(b) Using the identity cos²θ - sin²θ = cos(2θ), we can simplify the expression as follows:cos²(8x) - sin²(8x) = cos(2×8x)= cos(16x)
Therefore, B = cos(16x).
wats slope please hurry!!!!!! please!!??
2
1
5
approximately how fast is a person located at the earth's equator traveling due to the rotation of the earth? hint: a person located at the equator will go once along the circumference of a circle with radius equal to the radius of the earth in a time interval equal to 24 hours. speed is equal to distance traveled divided by the time interval.
The speed of the person located at earth's equator traveling due to rotation is, 1670 km/hr.
The person at equator traveling due to it's rotation will cover one complete round of earth in 24 hours. Hence the distance travelled is the circumference of the earth.
The radius of the earth is, 6 378.1 kilometers.
The circumference can be calculated as, 2×π×R
Using R = 6 378.1 kilometers,
Circumference = 2×π×6 378.1 kilometers
Circumference = 40090.91 kilometers.
The distance traveled = 40090.91 kilometers.
Time taken is 24 hrs.
Hence speed = distance/time
Speed = 40090.91/24
Speed = 1670 km/hr
The speed of the person is 1670 km/hr.
To know more about the speed, here
brainly.com/question/29775794
#SPJ4
The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
math 100 points ill give brainliest as well
i cant really see the picture well, sorry.
What is a eqation for the line that passes through (2,5) and (6,7).
La batalla de Inglés y Matemáticas Pregunta: Tenía $ 5.00 Mi mamá me dio $ 10.00 mientras que mi papá me dio $ 30.00. Mi tía y mi tío me dieron 100.00. Tuve otros $ 5.00 ¿Cuánto dinero realmente tenía?
Answer:
$150.00
Step-by-step explanation:
Tenía $ 5.00
Mi mamá me dio $ 10.00 mientras que mi papá me dio $ 30.00.
Esto significa que luego tengo:
5 + 10 + 30 = $ 45.00
Mi tía y mi tío me dieron 100.00.
Entonces tuve:
45 + 100 = $ 145.00
Tenía otros $ 5.00.
Esto significa que en conjunto tuve:
145 + 5 = $ 150.00
Is KLMN a parallelogram
Given data:
The given vertices of the parallelogram are K(2, 7), L(6, 12), M(13, 13) and N(9, 8).
In parallelogram opposite sides are equal and parallel.
\(\begin{gathered} KL=\sqrt[]{(6-2)^2+(12-7)^2} \\ =\sqrt[]{4^2+5^2} \\ =\sqrt[]{16+25} \\ =\sqrt[]{41} \end{gathered}\)The slope of KL is,
\(\begin{gathered} m=\frac{12-7}{6-2} \\ =\frac{5}{4} \end{gathered}\)The measuremment of the side MN is,
\(\begin{gathered} MN=\sqrt[]{(9-13)^2+(8-13)^2} \\ =\sqrt[]{16+25} \\ =\sqrt[]{41} \end{gathered}\)The slope of the MN is,
\(\begin{gathered} m^{\prime}=\frac{8-13}{9-13} \\ =\frac{-5}{-4} \\ =\frac{5}{4} \end{gathered}\)The LM length is,
\(\begin{gathered} LM=\sqrt[]{(13-6)^2+(13-12)^2} \\ =\sqrt[]{49+1} \\ =\sqrt[]{50} \end{gathered}\)The slope of LM is,
\(\begin{gathered} m_1=\frac{13-12}{13-6} \\ =\frac{1}{7} \end{gathered}\)The length NK is,
\(\begin{gathered} NK=\sqrt[]{(2-9)^2+(7-8)^2} \\ =\sqrt[]{49+1} \\ =\sqrt[]{50} \end{gathered}\)The slope of NK is,
\(\begin{gathered} m_2=\frac{7-8}{2-9} \\ =\frac{-1}{-7} \\ =\frac{1}{7} \end{gathered}\)As, the opposite sides are equal and parallel, so the given quadrilaterl KLMN is parallelogram.
Thus, Yes it is parallelogram, so first option is correct.
Two forces of 494 newtons and 590 newtons act on a point. The resultant force is 1079 newtons. Find the angle between the two forces.
Answer:
Use Law of Cosines
Step-by-step explanation:
1079²= 590² + 494²- (2)(590)(494) cos θ.
9. What is price celing? What is Price floor? Which is better, value based pricing or cost based pricing? Why? 10. A consumer purchases a mobile phone for P15,000 from a retailer. If the retailer's mark up is 30%, and the wholesaler's mark up is 10%, both based on their selling prices, for what price does the manufacturer sell the product to the wholesaler?
Price Ceiling: A price ceiling is a government-imposed maximum price set below the equilibrium market price.
It is intended to protect consumers by keeping prices low and affordable for certain goods or services.
Price ceilings are often implemented during times of market shortages or to control inflation.
Price Floor: A price floor is a government-imposed minimum price set above the equilibrium market price.
It is intended to protect producers by ensuring they receive a certain level of income for their goods or services.
Price floors are often used in agricultural markets or to establish minimum wage laws.
Value-based Pricing vs. Cost-based Pricing: Both value-based pricing and cost-based pricing approaches have their advantages and disadvantages.
Value-based pricing focuses on determining the perceived value of a product or service to customers and pricing it accordingly.
This approach considers the benefits and value that customers derive from the product and sets the price based on what customers are willing to pay.
Value-based pricing allows for higher profit margins and takes into account customer preferences and willingness to pay.
Cost-based pricing, on the other hand, sets prices based on the production costs and desired profit margin.
It involves calculating the total cost of producing the product and adding a markup to determine the selling price.
Cost-based pricing is more straightforward and easier to implement, as it relies on the actual costs incurred in producing the product.
To know more about price celling, visit:
https://brainly.com/question/32310048
#SPJ11
Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
Learn more about the perimeter of a triangle at
brainly.com/question/3757003
#SPJ4
Answer: b
Step-by-step explanation:
Let u = (-3, 4), v = (2,4) , and w= (4,-1) . Write each resulting vector in component form and find the magnitude .
-w + 3v + 2u
To find the resulting vector -w + 3v + 2u, we can calculate each component separately and combine them. The component form of vector -w is (-(-4), -(-1)) = (4, 1). The component form of vector 3v is 3(2, 4) = (6, 12). The component form of vector 2u is 2(-3, 4) = (-6, 8).
Now, we can add the corresponding components of these vectors: (-w + 3v + 2u) = (4, 1) + (6, 12) + (-6, 8) = (4 + 6 - 6, 1 + 12 + 8) = (4, 21). Therefore, the resulting vector in component form is (4, 21). To find the magnitude of the resulting vector, we can use the formula: Magnitude = sqrt(x^2 + y^2), where x and y are the components of the vector. For the resulting vector (4, 21), the magnitude is: Magnitude = sqrt(4^2 + 21^2) = sqrt(16 + 441) = sqrt(457). Hence, the magnitude of the resulting vector -w + 3v + 2u is sqrt(457).
Learn more about the corresponding scalar: here: brainly.com/question/13592198
#SPJ11
consider the following. quadratic x y −2 5 −1 −3.5 0 −8 1 −8.5 2 −5 3 2.5 4 14 find the equation of the function of the specified type that is the best fit for the given data. y(x)
The quadratic function that best fit the given data is y = 2x² - 5/2x - 8.
In algebra, quadratic function is defined as a function in the second degree or power. It can be expressed as y = f(x) = ax² + b x + c, where a, b, and c are constants.
Using only three points from the given data, we can determine the quadratic equation that fits the data.
Let P1 = (-2 , 5)
P2 = (0 , -8)
P3 = (2 , -5)
Substitute the points in the expression f(x) = y = ax² + b x + c.
5 = a(-2)² + b(-2) + c ⇒ 5 = 4a - 2b + c (equation 1)
-8 = a(0)² + b(0) + c ⇒ -8 = c (equation 2)
-5 = a(2)² + b(2) + c ⇒ -5 = 4a + 2b + c (equation 3)
Substitute equation 2 in equation 1 and 3.
5 = 4a - 2b + -8 ⇒ 13 = 4a - 2b (equation 4)
-5 = 4a + 2b + -8 ⇒ 3 = 4a + 2b (equation 5)
13 = 4a - 2b (equation 4)
-(3 = 4a + 2b) (equation 5)
10 = -4b
b = -5/2
Substitute the value of b in equation 4.
13 = 4a - 2(-5/2)
4a = 13 - 5
a = 2
If a = 2, b = -5/2 and c = -8, then the quadratic equation should be y = 2x² - 5/2x - 8.
Learn more about quadratic function here: https://brainly.com/question/1497716
#SPJ4
good morning!! can someone help?!:)
Answer:
Option A. {-4, 2, 4}
Step-by-step explanation:
There is no other options because none of them are bigger than -5 except Option A.