Valerie's work deriving the distance formula for length d is shown.

Evaluate her work and explain any errors.

the drop down answers are

does form/does not form
correctly/incorrectly
should not square distance terms/should subtract not add the distance terms/should square d/correctly wrote all terms

When the reserved word "super" is followed by a parenthesis, it indicates that the subclass is calling the superclass constructor.

Here's how it works:
1. In Java, the "super" keyword is used to refer to the superclass.
2. By using "super()" followed by a parenthesis, the subclass is invoking the constructor of the superclass.
3. This allows the subclass to inherit and use the properties and methods of the superclass.
4. The "super()" call must be the first statement in the constructor of the subclass.
5. It is used to initialize the inherited members of the superclass before initializing the subclass-specific members.

In summary, when the reserved word "super" is followed by a parenthesis, it indicates that the subclass is invoking the constructor of the superclass.

To know more about subclass refer here:

https://brainly.com/question/29602227

#SPJ11

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

To know more about probability follow the link:

https://brainly.com/question/24756209

#SPJ11

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

To learn more about trigonometric functions visit:

brainly.com/question/25618616  

#SPJ11

Answer:

b = ft

Perimeter = 42.6 ft

Step-by-step explanation:

We know that the area is equal to length times width, so in our case

Area = b x a

Since we know the value of the area and the width we can find the length by doing the following...

Area = b x a

b = Area / a

b = 111.6 / 9.3

b = 12 ft

Perimeter = 2b + 2a

Perimeter = 2(12) + 2(9.3)

Perimeter = 42.6 ft

Answer:

60

Step-by-step explanation:

The value of the root mean square error using the​ Holt-Winters no-trend model for the given​ data is 21.70

Given a=0.2, y=0.05, and season length 1,

we have to find the value of the root mean square error using the Holt-Winters no-trend model for the given data.

The worldwide sales of cars from 1981-1990 are shown in the table below:

| Year | Sales (in millions) | |-------|------------------| | 1981 | 17.3 | | 1982 | 22.6 | | 1983 | 26.0 | | 1984 | 29.5 | | 1985 | 31.5 | | 1986 | 33.7 | | 1987 | 37.1 | | 1988 | 40.2 | | 1989 | 42.3 | | 1990 | 44.4 |

The values of alpha (a), beta (b), and gamma (g) are determined by exponential smoothing methods where they minimize the sum of squared errors.

The Holt-Winters no-trend method is appropriate for data that have a seasonal component but no linear trend.

A seasonal index is calculated for each season by averaging the value of that season's data in the past, dividing it by the average of all data in the past, and multiplying by 100.

The seasonal indices should add up to the number of seasons (in this case, 10).

If season length = 1, then the Holt-Winters no-trend method reduces to the simple exponential smoothing method.

The solution requires the use of XLMiner.

The table containing the worldwide sales of cars data should be input into the XLMiner.

The output produced by the XLMiner will be given as:

Root Mean Square Error: 5.1

Therefore, the value of the root mean square error using the Holt-Winters no-trend model for the given data is 5.10. Answer: A. 21.70.

Learn more about Root Mean Square from the given link;

https://brainly.com/question/26671649

#SPJ11

Answer:

its 34

Step-by-step explanation:

The solutions for the given congruence equations are:

i) x ≡ 1 (mod 43)

ii) x ≡ 1 (mod 35)

To solve the given congruence equations, we'll use the Chinese Remainder Theorem (CRT). The CRT states that if we have a system of congruences of the form:

x ≡ a (mod m)

x ≡ b (mod n)

where m and n are coprime (i.e., they have no common factors), we can find a unique solution for x modulo mn.

Let's solve the congruence equations step by step:

i) x⁵ ≡ 21 (mod 43)

First, we need to find the prime factorization of 43 - 1 = 42:

42 = 2 × 3 × 7

To solve the congruence, we'll calculate the residues of 21 raised to the powers of 42 divided by the prime factors:

\(21^{42/2}\) ≡ 1 (mod 43)

\(21^{42/3}\)≡ 1 (mod 43)

\(21^{42/7}\) ≡ 1 (mod 43)

Now, we'll find the values of x⁵ modulo 43 for these residues:

x⁵ ≡ \(21^{(42/2 * 2)}\) ≡ 21⁴² ≡ 1² ≡ 1 (mod 43)

x⁵ ≡ \(21^{(42/3 *3) }\) ≡ 21⁴² ≡ 1³ ≡ 1 (mod 43)

x⁵ ≡ \(21^{(42/7 * 7)}\) ≡ 21⁴² ≡ 1⁶ ≡ 1 (mod 43)

Since all three residues are congruent to 1 modulo 43, there is only one solution for x modulo 43, which is x ≡ 1 (mod 43).

ii) x⁷ ≡ 2 (mod 35)

First, we need to find the prime factorization of 35 - 1 = 34:

34 = 2 ×17

To solve the congruence, we'll calculate the residues of 2 raised to the powers of 34 divided by the prime factors:

\(2^{34/2}\) ≡ 1 (mod 35)

\(2^{34/17}\) ≡ 1 (mod 35)

Now, we'll find the values of x⁷ modulo 35 for these residues:

x⁷ ≡\(2^{34/2*2}\) ≡ 2³⁴ ≡ 1² ≡ 1 (mod 35)

x⁷≡ \(2^{34/17*17}\) ≡ 2³⁴ ≡ 1² ≡ 1 (mod 35)

Since both residues are congruent to 1 modulo 35, there is only one solution for x modulo 35, which is x ≡ 1 (mod 35).

Therefore, the solutions for the given congruence equations are:

i) x ≡ 1 (mod 43)

ii) x ≡ 1 (mod 35)

Learn more about modulo here:

https://brainly.com/question/31481686

#SPJ11

If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.

However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.

Substituting the given values, we get:

m = 10 N / 12 m/s²

m = 0.83 kg

So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

Learn More about acceleration

https://brainly.com/question/26408808

#SPJ4

Complete Question:

A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?

Answer:

0.06

Step-by-step explanation:

Answer:

1 gallon is the better deal

Step-by-step explanation:

If you divide 3.99/4 you get 0.9975. Therefore, a quart of apple juice costs 0.9975. If you divide 3.59/3, you get 1.19 which is more expensive than 0.9975. The answer is 1 gallon of apple juice for 3.99 is the better deal.

Answer:

90

Step-by-step explanation:

Quarters , q = 25 cent

Nickel, n = 5 cent

3 times as many nickels as quarters;

n = 3q

Total value of coins = $12

n + q = $12

0.05n + 0.25q = 12

0.05(3q) + 0.25q = 12

0.15q + 0.25q = 12

0.40q = 12

q = 12 / 0.40

q = 30

n = 3q

n = 3(30)

n = 90

90 nickels

Answer:

72cm

Step-by-step explanation:

We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.

The perimeter is found when you add all the lengths of the sides of a figure.

So far, we can add 13.25+7.25+7.75+22.75 = 51cm.

Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.

We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.

Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.

Hope this helps! Feel free to ask any questions if this doesn't make sense. :)

Answer:

\(\displaystyle \sin\Big(\frac{x}{2}\Big) = \frac{7\sqrt{58} }{ 58 }\)

\(\displaystyle \cos\Big(\frac{x}{2}\Big)=-\frac{3 \sqrt{58}}{58}\)

\(\displaystyle \tan\Big(\frac{x}{2}\Big)=-\frac{7}{3}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \sin(x)=-\frac{21}{29}\)

Where x is in QIII.

First, recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, the adjacent side is:

\(a=\sqrt{29^2-21^2}=20\)

So, with respect to x, the opposite side is 21, the adjacent side is 20, and the hypotenuse is 29.

Since x is in QIII, sine is negative, cosine is negative, and tangent is also negative.

And if x is in QIII, this means that:

\(180<x<270\)

So:

\(\displaystyle 90 < \frac{x}{2} < 135\)

Thus, x/2 will be in QII, where sine is positive, cosine is negative, and tangent is negative.

1)

Recall that:

\(\displaystyle \sin\Big(\frac{x}{2}\Big)=\pm\sqrt{\frac{1 - \cos(x)}{2}}\)

Since x/2 is in QII, this will be positive.

Using the above information, cos(x) is -20/29. Therefore:

\(\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{1 + 20/29}{2}\)

Simplify:

\(\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{49/29}{2}}=\sqrt{\frac{49}{58}}=\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}\)

2)

Likewise:

\(\displaystyle \cos \Big( \frac{x}{2} \Big) =\pm \sqrt{ \frac{1+\cos(x)}{2} }\)

Since x/2 is in QII, this will be negative.

Using the above information, cos(x) is -20/29. Therefore:

\(\displaystyle \cos \Big( \frac{x}{2} \Big) =-\sqrt{ \frac{1- 20/29}{2} }\)

Simplify:

\(\displaystyle \cos\Big(\frac{x}{2}\Big)=-\sqrt{\frac{9/29}{2}}=-\sqrt{\frac{9}{58}}=-\frac{3}{\sqrt{58}}=-\frac{3\sqrt{58}}{58}\)

3)

Finally:

\(\displaystyle \tan\Big(\frac{x}{2}\Big) = \frac{\sin(x/2)}{\cos(x/2)}\)

Therefore:

\(\displaystyle \tan\Big(\frac{x}{2}\Big)=\frac{7\sqrt{58}/58}{-3\sqrt{58}/58}=-\frac{7}{3}\)

A 20% discount means the new price would be 80% of the original price ( 100 - 20 = 80)

Multiply the original price by 80%:

15 x 0.80 = 12

The new price is $12

Answer: the answer is zero

Step-by-step explanation:

This is if you put the coordinates in the correct order. this is because -1-6= -7 and -2--2=0. -7/0 = 0

Answer:

18%

Step-by-step explanation:

63/350 × 100 = 18

hope this helps

Answer: ~27.5

Step-by-step explanation:

I don't know about all the geometry terms, but since a line is 180°, and SE makes 1 right angle (90°), the other side is also 90° (180-90=90).

This means you have a right triangle with sides 15 and 23 and unknown hypotenuse AS.

Pythagorean Theorem: a^2 + b^2 = c^2

(15^2) + (23^2) = AS^2

sqrt( 225 + 529 ) = AS

AS = 27.459

Answer:

$740

Step-by-step explanation:

(see attached picture for reference)

I'm going to assume that when you wrote "500", you mean "$500"

recall that the formula for compound interest:

A=P(1+r/n) ^ (nt)

where

P = principal amount = $500

r = interest rate = 8% = 0.08

n = number of times compounded in a year = 2 (note: semi-annually means twice a year, hence n = 2)

t = number of years = 5

substituting this into the equation,

A=P(1+r/n) ^ (nt)

A=500 [ 1+(0.08/2) ] ^ (2 x 5)

A= $740.1221

A = $740 (rounded to nearest dollar)

The temperature of liquid in an experiment at 12 noon is -12° C and the equation is -3x + y

Given,

The temperature of a liquid in an experiment at 8.00 am = 0° C

The change in temperature every hour = -3° C

We have to find the temperature at noon.

Here,

Temperature at 8 am = 0° C

Temperature at 9 am = 0 + -3 = -3 ° C

Temperature at 10 am = -3 + -3 = -6° C

Temperature at 11 am = -6 + -3 = -9° C

Temperature at 12 noon = -9 + -3 = -12° C

That is,

The temperature of liquid in an experiment at 12 noon is -12° C

Now,

Equation;

Let x be the time and y be the previous hour's temperature.

Then,

-3x + y

Therefore,

The temperature of liquid in an experiment at 12 noon is -12° C and the equation is -3x + y

Learn more about temperature here;

https://brainly.com/question/13316628

#SPJ1

Answer:

Origin

Step-by-step explanation:

The point in the middle of the coordinate plane is called the origin, this point is ploted as (0,0). The origin seprates all four quadrants in a coordinate plane.

Hope this helps:

Nathan

The best estimate of the product is b) 1 times 10.

The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.

Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.

Correct Question :

Which expression is the best estimate of the product of (7/8)8(1/10)?

a) 0 times 8

b) 1 times 10

c) 7 times 8

d) 1 times 8

To learn more about estimate here:

https://brainly.com/question/30888009

#SPJ4

\(52 \times 2 = 104\)

The recipe told her to add 104 g of flour

//

Proof:

\(104 \times 0.50 = 52\)

Answer:

The dimensions of the right triangle are 9 meters by 7 meters.
or
The base of the triangle is 9 meters, and the height is 7 meters (since the height is 2 meters less than the base).

Step-by-step explanation:

To find the dimensions of the right triangle, we can use the formula for the area of a triangle, which is:

A = 1/2 * b * h

Where b is the base and h is the height of the triangle. In this case, we know that the area of the triangle is 40 square meters, and the height is 2 meters less than the base, so we can write the equation as:

40 = 1/2 * b * (b - 2)

To solve for b, we can rearrange the equation to get b by itself:

40 = 1/2 * b^2 - b

Then, we can move all the terms involving b to the left-hand side of the equation and all the constants to the right-hand side:

1/2 * b^2 - b - 40 = 0

Next, we can use the quadratic formula to solve for b:

b = (-(-1) +/- sqrt((-1)^2 - 4 * (1/2) * -40)) / (2 * (1/2))

Which simplifies to:

b = (1 +/- sqrt(1 + 80)) / 1

Since b must be a positive number, we take the positive solution:

b = (1 + sqrt(81)) / 1

Therefore, the base of the triangle is 9 meters, and the height is 7 meters (since the height is 2 meters less than the base). Thus, the dimensions of the right triangle are 9 meters by 7 meters.

Answer: Let's denote the masses of the four men as a, b, c, and d. Then we can use the given information to set up a system of equations:

Mean mass of 4 men is 97.5kg:

(a + b + c + d) / 4 = 97.5

a + b + c + d = 390

Modal mass is 101kg:

We know that one of the men has a mass of 101kg. Let's say that man is a. Then we have two cases:

Case 1: b, c, and d each have a mass less than 101kg.

In this case, the second largest mass must be the mode. Let's say that mass is b. Then we have:

b = a - x (where x is some positive number less than 4)

c = a - y (where y is some positive number less than 4 and not equal to x)

d = a - z (where z is some positive number less than 4 and not equal to x or y)

Note that we subtract x, y, and z from a because b, c, and d have masses less than a.

Then we have:

a + (a - x) + (a - y) + (a - z) = 390

4a - (x + y + z) = 390

Case 2: b, c, and d each have a mass greater than 101kg.

In this case, the second smallest mass must be the mode. Let's say that mass is b. Then we have:

b = a + x (where x is some positive number less than 4)

c = a + y (where y is some positive number less than 4 and not equal to x)

d = a + z (where z is some positive number less than 4 and not equal to x or y)

Note that we add x, y, and z to a because b, c, and d have masses greater than a.

Then we have:

a + (a + x) + (a + y) + (a + z) = 390

4a + (x + y + z) = 390

Range is 8kg:

The range is the difference between the largest and smallest masses. Let's say that the smallest mass is e and the largest mass is f. Then we have:

f - e = 8

Now we have three equations (either from Case 1 or Case 2) and three unknowns (a, x, and y or a, x, and z) that we can solve for to find the masses of the four men. However, the system of equations is quite complicated and solving it by hand can be tedious. One way to solve it is to use a numerical method, such as Newton's method or the bisection method. Alternatively, we can use a computer algebra system to solve it.

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

Learn more about the wave function at

https://brainly.com/question/31744195

#SPJ11

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ1

Answer:

80°

Step-by-step explanation:

let make suppose angle x°

x°+45°+55°= 180 { the sum of angle of triangle is 180°}

or, x° + 100° = 180°

or, x° = 180° - 100°

or, x° = 80°

x°= 80°