Which is a correct example of deductive reasoning?


A. Seven straight tosses of a number cube landed on 1. The next toss will land on 1.


B. Every bicyclist Lynn has seen was on a red bike. The next bicyclist Lynn sees will be on a red bike.


C. All rectangles have four sides. All squares are rectangles. Therefore, all squares have four sides.


D.


All tennis players are athletic. Erica is athletic. Therefore, Erica is a tennis player

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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5/8 = 21/ (21+y)

there’s the equation, just solve for “y” from there!

Thus, the value of the line segment GE for the given tangent on circle is found as: GE = 12.

The slope of a curve at a certain point's line is known as the tangent. It is the line that contacts the curve at any specific point and follows the curve in that location. In other words, the tangent line would be the line that would result if the curve at that point stopped obeying the function and instead went straight.

The slope of the curve is determined at the point where the tangent almost touches the curve.

Given that:

We know that the tangent drawn from the same external points are equal.

So,

GH = GF

x - 1 = 6

x = 6 + 1

x = 7

GE = GF + FE

GE = 7 + 5

GE = 12

Thus, the value of the line segment GE for the given tangent on circle is found as: GE = 12.

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Complete question-

Find the measure of the line segment indicated, assume that lines which appear tangent are tangent.

find GE

Possible answers —>

A. 12

B. 10

C. 17

D. 4

E. 12

The coefficient of non-determination that shows unique rather than common variance is 0.64.

The amount of variance that is common among a group of objects is known as common variance. Items with high correlation will have a lot of variance in common. Common-method variance (CMV) is the fictitious "variance that is attributable to the measurement method rather than to the constructs the measures are assumed to represent" or, alternatively, "systematic error variance shared among variables measured with and introduced as a function of the same method and/or source".

Depending on a number of variables, the inter correlations across measures that are impacted by CMV or common-method bias might be inflated or deflated.

The coefficient of non-determination = 100% - coefficient of determination

= 100 -36

= 64%

= 0.64

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Answer:

I’m sorry if this is wrong but I think the equation is 2y=12

Z=6

Step-by-step explanation:

Take the difference in y coordinates and divide that by the difference in the x coordinates. That's the slope, sometimes called the "rise over run"  For a straight line or a linear function the slope is a constant

(6-10)(7,10) = 2/3 = slope

the line is

y-h = m(x-k) where m=2/3 and (k,h) = (10,10) or either point

to get y-10 = (2/3)(x-10)

3y -30 = 2x-20

2x-3y = -10

or use (k,h) as (7,8)

y-8 = (2/3)(x-7)

3y-24 = 2x-14

2x-3y = -10

or if you write it in y=mx + b form

it's y=(2/3)x + 10/3  where 10/3 is the y-intercept and 2/3 = slope

In this form, take the derivative of (2/3)x + 10/3

to get y' = 2/3,  the derivative is the slope

Answer:

16 years

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

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

where A is the final amount, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the number of years.

In this case, P = $5000, r = 0.05 (since the annual interest rate is 5%), n = 12 (since the interest is compounded monthly), and we need to solve for t when A = $6,568.52.

Plugging in the values, we get:

$6,568.52 = $5000(1 + 0.05/12)^(12t)

Dividing both sides by $5000 and taking the natural logarithm of both sides, we get:

ln(1.313704) = ln(1 + 0.05/12)^(12t)

Using the logarithmic identity ln(a^b) = b ln(a), we can simplify the right side:

ln(1.313704) = 12t ln(1 + 0.05/12)

Dividing both sides by 12 ln(1 + 0.05/12), we get:

t = ln(1.313704) / (12 ln(1 + 0.05/12)) = 16.0

Therefore, it will take Mr. Sanchez 16 years to have $6,568.52 in the college fund, if he does not make any deposits or withdrawals. The answer is 16 years.

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

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Answer:

x= 42

Step-by-step explanation:

x/2+9=30

x+18=60

x=60-18

x= 42

Answer:

m∠a = 60°

Step-by-step explanation:

Hi there,

Before answering this question, you should know that the sum of all the angles in a triangle will always be 180°. Therefore, we can write this equation to find the value of ∠a :

70° + 50° + m∠a = 180°

Solve for m∠a

120° + m∠a = 180°

m∠a = 60°

Hope this answer helps. Cheers.

Answer:

V is 56

Step-by-step explanation:

V= 20+12(3)

V= 20 + 36

V = 56

Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m      

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

\(cos(\theta) = \frac{b}{h}\)

\( b = cos(\theta)*h = cos(58)*6 = 3.2 m \)

Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!

Answer:

18:11

Step-by-step explanation:

33÷3=11

54÷3=18

so its 18:11

hope it helped! :D

\(\large\huge\green{\sf{Answer:-}}\)

ratio= 54 t shirt/33 sweatshirt

ratio= 54/33

ratio= 18/11

Answer:

20

Step-by-step explanation:

What is 25 percent (calculated percentage %) of number 80? Answer: 20.

\(\tan(x )=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{36}} \implies \tan(x)=\cfrac{25}{18}\implies x =\tan^{-1}\left( \cfrac{25}{18} \right)\implies x \approx 54.2^o\)

Make sure your calculator is in Degree mode.

(a) The expression under the conditions sin(θ - Ф) is  (5√(91) - 36) / 130.

(b)The expression under the conditions sin(θ + Ф)  is 7√5/85.

8.To evaluate the expression sin(θ - Ф), we need to use the the trigonometric identities:

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

tan(θ) = 5/12 (in Quadrant III)

sin(Ф) = -3/10 (in Quadrant IV)

From the given information, we can determine the values of cos(theta) and cos(Ф) using the Pythagorean identity:

cos(θ) = 1 / √(1 + tan²(θ)) cos(Ф)

= √(1 - sin²(Ф))

Let's calculate these values:

cos(θ) = 1 / √(1 + (5/12)²)

= 12 / √(169)

= 12 / 13 cos(Ф)

= √(1 - (-3/10)²)

= √(1 - 9/100)

= √(91/100)

= √(91) / 10

Now we can substitute the values into the expression sin(θ - Ф):

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

= (sin(θ) × cos(Ф)) - (cos(θ) × sin(Ф))

= (5/13) × (√(91)/10) - (12/13) × (-3/10)

= (5√(91) - 36) / 130

Therefore, sin(θ - Ф) = (5√(91) - 36) / 130.

9.To evaluate the expression sin(θ + Ф), we can use the trigonometric identities:

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

sin(θ) = 8/17 (in Quadrant I)

cos(Ф) = -√5/5 (in Quadrant II)

We can determine the value of cos(θ) using the Pythagorean identity:

cos(θ) = √(1 - sin²(θ))

= √(1 - (8/17)²)

= √(1 - 64/289)

= √(225/289)

= 15/17

Now we can substitute the values into the expression sin(θ + Ф):

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

= (8/17) ×(-√5/5) + (15/17) × (√5/5)

= -8√5/85 + 15√5/85

= 7√5/85

Therefore, sin(θ + Ф) = 7√5/85.

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Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

\((6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24\)

So, the step 1 is correct.

At the point t=2, the equation of the tangent line is given by y=8x+15. To find this equation, we need to take the derivative of x and y with respect to t and then substitute t=2.

The derivative of x with respect to t is 3t2−4 and the derivative of y with respect to t is 8t−4t3. Substituting t=2, we get x'=4 and y'=8.Now the equation of the tangent line is of the form y=mx+b, where m is the slope and b is the y-intercept. Substituting the values of x' and y', we get y=8x+b. To find the value of b, we need to substitute (x,y) as (x,y)=(2,8). This gives us b=15. So, the equation of the tangent line at t=2 is y=8x+15.At the point t=-2, the equation of the tangent line is given by y=-8x-15. To find this equation, we need to take the derivative of x and y with respect to t and then substitute t=-2.The derivative of x with respect to t is 3t2−4 and the derivative of y with respect to t is 8t−4t3. Substituting t=-2, we get x'=-4 and y'=-8.

Now the equation of the tangent line is of the form y=mx+b, where m is the slope and b is the y-intercept. Substituting the values of x' and y', we get y=-8x+b. To find the value of b, we need to substitute (x,y) as (x,y)=(-2,-8). This gives us b=-15. So, the equation of the tangent line at t=-2 is y=-8x-15.

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Answer:

The midpoint is the middle of two segments (which can be congruent)

Step-by-step explanation:

To find the midpoint you have to add up the two values and divide by 2!

The probability of favorable  outcomes  P(E) = 37/256

What is probability in math?

Given,

      8 coins are faced simultaneously .

total outcomes = 2 * 2 * 2* 2 * 2 * 2 * 2 * 2

                             = 2⁸

                             = 256

favorable outcomes = 6 heads + 7 heads + 8 heads

                      = ⁸C₆ + ⁸C₇  + ⁸C₈

                       = 28 + 8 + 1   = 37

the probability of favorable  outcomes =            

              P(E) = 37/256

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The variance of the murder rate data is approximately 4.83, and the standard deviation is approximately 2.20.

To find the variance and standard deviation of the murder rate data, we first need to find the mean (average) of the data.

Mean or average is the sum of all the data values divided by the number of data values. That is

\(Mean =\frac{( sum\ of\ all\ the\ data\ values)}{(number\ of\ data\ values)}\)

To find the sum of all the data values we will use the midpoint of the class intervals and multiply it by the corresponding frequencies.

Midpoint of Class Interval = (Lower Class Limit + Upper Class Limit) / 2

For example, the midpoint of the first class interval, 5 - 11, is (5+11) / 2 = 8

The midpoint of the second class interval, 12 - 18, is (12+18) / 2 = 15

and so on.

So, the sum of all the data values is

(8 x 8) + (15 x 5) + (22 x 7) + (29 x 1) + (36 x 1) + (43 x 3) = 487

The number of data values is the sum of all the frequencies:

8 + 5 + 7 + 1 + 1 + 3 = 25

So, the mean is

487 / 25 = 19.48

Now we can use the mean to find the variance and standard deviation using the following formulas:

Variance = Σ(x - μ)^2 / n

Standard Deviation = √Variance

Where x is the midpoint of the class interval, μ is the mean, and n is the number of data values.

After calculation, the variance of the murder rate data is found to be approximately 4.83, and the standard deviation to be approximately 2.20.

--The question is incomplete, the complete question is as follows--

"The data represent the murder rate per 100,000 individuals in a sample of selected cities in the United States:

Class Interval 5 - 11 : Frequency 8

Class Interval 12 - 18 : Frequency 5

Class Interval 19 - 25 : Frequency 7

Class Interval 26 - 32 : Frequency 1

Class Interval 33 - 39 : Frequency 1

Class Interval 40 - 46 : Frequency 3

Find the variance and standard deviation. Round your answers to at least one decimal place."

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By answering the presented question, we may conclude that Therefore, the angle of elevation between Katie and the kite is approximately 24.49 degrees.

An angle is a form in Euclidean geometry that is made up of two rays that meet at a point in the centre known as the angle's vertex. Two rays may combine to form an angle in the plane where they are situated. When two planes intersect, an angle is generated. They are referred to as dihedral angles. An angle in plane geometry is a potential configuration of two radiations or lines that represent a termination. The word "angle" comes from the Latin word "angulus," which meaning "horn." The vertex is the place where the two rays, also known as the angle's sides, meet.

First, let's convert the height of the kite from yards to feet since the length of the string is given in feet:

35 yards = 105 feet

We can use the inverse tangent function (tan⁻¹) to find the angle θ:

tanθ = opposite/adjacent

tanθ = 105/240

θ = tan⁻¹(105/240)

θ ≈ 24.49 degrees

Therefore, the angle of elevation between Katie and the kite is approximately 24.49 degrees.

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Step-by-step explanation:

hope this helps you

...........

Answer:

6+18x

Step-by-step explanation:

You typically would use PEMDAS in this situation but in the parenthesis, you can't add the 3 and the 9x together, so you just skip to 2*3 and 2*9x

Answer:

Step-by-step explanation:

if were trying to simplify it it would be 6+18x

Answer:

A. Slope = 4 and y-intercept  = 3

The sine function with the properties listed in this problem is defined as follows:

y = 3sin(3(x - π/3)).

The standard definition of a sine function is given as follows:

y = Asin(Bx + C) + D.

The parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

The function in this problem has an amplitude of 3, hence the coefficient A is given as follows:

A = 3.

Considering the period, the coefficient B is obtained as follows:

2π/B = 2π/3

B = 3.

Considering the shift right, the coefficient C is given as follows:

C = -π/3.

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