justify your reasons by determining the postulates, definitions, theorems, and properties used

Answer:your mom

Step-by-step explanati

Answer:

55

Step-by-step explanation:

80% ^ 2 = 0.64

so f(2) = 86*0.64 = 55

Step-by-step explanation:

We can set up the proportion with students on the bottom and teachers on the to

[tex] \frac{4}{100} = \frac{x}{950} [/tex]

Now we cross multiply

[tex]100x = (950)(4)[/tex]

[tex]100x = 3800[/tex]

Lastly, we will divide both sides by 100

[tex]x = 38[/tex]

the magnitude of the resultant is [tex]\sqrt{2}[/tex] times the magnitude of each individual vector, not one-third.

No, that is incorrect. The magnitude of the resultant of three vectors having equal magnitudes and making an angle of 120 degrees with each other is not one-third the magnitude of the component vectors.

The magnitude of the resultant of three vectors depends on the angle between them, as well as their magnitudes. In general, the magnitude of the resultant of three vectors can be calculated using the law of cosines, which states that the square of the magnitude of the resultant (R^2) is equal to the sum of the squares of the magnitudes of the individual vectors ([tex]A^2, B^2, and C^2[/tex]), plus twice the product of the magnitudes of two of the vectors multiplied by the cosine of the angle between them.

For three vectors of equal magnitude (A = B = C = m), the magnitude of the resultant can be calculated as:

[tex]R^2 = 3m^2 + 2m^2 * cos(120) = 3m^2 - m^2 = 2m^2[/tex]

[tex]R = \sqrt{2} * m[/tex]

Therefore, the magnitude of the resultant is sqrt(2) times the magnitude of each individual vector, not one-third.

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Question: Three Vectors Have Equal Magnitudes And Make 120° With Each Other. We Can Say That The Magnitude Of The Resultant Is One-Third The Magnitude Of The Component Vectors. The Resultant Is Zero. The Magnitude Of The Resultant Is Equal To The Magnitude Of The Component Vectors. The Magnitude Of The Resultant Is More Than Three Times The Magnitude Of Each component Vector.

The sine function for a specified range of angles is shown graphically in the sine graph. A trigonometric graph's horizontal axis is the angle, which is typically denoted by the symbol, and the y-axis is the sine function of that angle.

To graph the sine function, we place the sine of each angle on the vertical y-axis and indicate the angles along the horizontal x axis.

The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: hypotenuse/perpendicular = sin. sin(n+2) = sin for each n.

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Answer:

8

Step-by-step explanation:

If my calculations are correct the third side is 8

Answer:

1.  See below.

[tex]\textsf{2.} \quad \log_x256=\dfrac{1}{2}[/tex]

[tex]\textsf{3.} \quad x^6=1000000[/tex]

[tex]\textsf{4.} \quad \log_2\left(\dfrac{1}{64}\right)=x[/tex]

Step-by-step explanation:

Please note that this question is incorrect.  

I assume the question is missing an "x" term, since log₉27 ≠ -3.

Let's assume 27 should be "x":

[tex]\implies \log_9x=-3[/tex]

[tex]\textsf{Apply the log law}: \quad \log_ab=c \iff b=a^c[/tex]

[tex]\implies x=9^{-3}[/tex]

If, however, the 9 is supposed to be "x":

[tex]\implies \log_x27=-3[/tex]

[tex]\implies x^{-3}=27[/tex]

Given exponential equation:

[tex]\sqrt{x}=256[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt{a}=a^{\frac{1}{2}}:[/tex]

[tex]\implies x^{\frac{1}{2}}=256[/tex]

[tex]\textsf{Apply the log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies \log_x256=\dfrac{1}{2}[/tex]

Given logarithmic equation:

[tex]\log_x1000000=6[/tex]

[tex]\textsf{Apply the log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies x^6=1000000[/tex]

Given exponential equation:

[tex]2^x=\dfrac{1}{64}[/tex]

[tex]\textsf{Apply the log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies \log_2\left(\dfrac{1}{64}\right)=x[/tex]

Answer:

Third option
q + d = 60

0.25q + 0.10d = 13.35

Step-by-step explanation:

Given q quarters and d dimes

Total number of coins = q + d and this must equal 60

Therefore q + d = 60

Since each quarter is 25 cents(or $0.25) and each dime is 10 cents($0.10)

Total value = 0.25q + 0.10d = 13.35

Correct set  of equations is the third option

When converting 0.000056 into scientific notation, the decimal point will move 5 spaces to the right.

The resulting number in scientific notation would be 5.6 x 10^-5.

The number of people in a household with 2.5 pounds of waste are = 11

and we calculate this on the basis of question below

Predict the number of people in a household with 2.5 pounds of waste pounds of waste 0.27,1.41,2.19,2.83,2.19,1.81,0.85,3.05. In Home 2 3 3 6 4 2 1 5

pound    0.27  ,1.41,  2.19  ,2.83  ,2.19  ,1.81  ,0.85,  3.05  

people      2          3      3       6        4        2        1       5

so now the question is complete

in pound section we have to take care which value are greater than 2.5

so 2.83 and 3.05 is greater than 2.5 so here  number of people who's home have greater than 2.5 pound of waste are 6+6=11

and rest people who's home has less than 2.5 pound waste are 2+3+3+4+2+1=15

so final ans is 11.

so this question was in complete and this ans is valid for this Question only.

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Answer:

Step-by-step explanation:

if 10,000/10, find 100drops by moving decimal place

100.00/0.10

so volume is 0.1 flOz

The correct response is A since this triangle has a dilatation of (0,0),(1,0),(1,1)) by a factor of 1/3 with respect to the origin.

A figure will dilate if its sides are scaled (multiplied) by the same amount. The scale factor of that dilatation is the name given to that figure.

It is also known as scaling a figure, but since coordinates are involved, it also requires the center of a dilation, which is similar to a pinned point and remains in the same location after dilation.

It appears as though we are adjusting the size of the figure (or leaving it the same when the scale factor is 1).

The positions (0, 0), (3, 0), (3,3)

1/3 scale factor

Now

the GPS coordinates;

(0,0),(1,0),(1,1)

Thus, required dilation is (0,0),(1,0),(1,1).

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Complete question:

A right triangle is drawn on the coordinate plane. Which is a dilation of this triangle with respect to the origin by a factor of 1/3?

Answer:

The positions (0, 0), (3, 0), (3,3)

1/3 scale factor

Now

the GPS coordinates;

(0,0),(1,0),(1,1)

Thus, required dilation is (0,0),(1,0),(1,1).

Step-by-step explanation:

option a

Answer:

(9,7,10,8,7)

Step-by-step explanation:

range is the value of y.

Answer:

Below

Step-by-step explanation:

The lowest common denominator is 60

then the fractions become  ( L to right)   51/60   50/60   32/60

The probability that Brad gets all five answers correct is 1/128.

From the question, we have the following parameters that can be used in our computation:

true of false = 3

Multichoice = 2

So, the probability that Brad gets all five answers correct is (1/4)^2 * (1/2)^3 = 1/128.

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Answer:

arc BAC = 276°

Step-by-step explanation:

the sum of the angles around point D is 360°

sum the central angles and equate to 360

7n + 12 + 6n + 13n - 16 = 360

26n - 4 = 360 ( add 4 to both sides )

26n = 364 ( divide both sides by 26 )

n = 14

Then

∠ ADB = 7n + 12 = 7(14) + 12 = 98 + 12 = 110°

∠ ADC = 13n - 16 = 13(14) - 16 = 182 - 16 = 166°

• the arc of a circle is equal to the central angle it subtends

arc BA = ∠ ADB = 110°

arc AC = ∠ ADC = 166°

Then

arc BAC = arc BA + arc AC = 110° + 166° = 276°

Step-by-step explanation:

length = width + 6

the perimeter of a rectangle is

2×length + 2×width

by using the first equating as identity in the second we get

36 = 2×(width + 6) + 2×width =

= 2×width + 12 + 2×width = 4×width + 12

24 = 4×width

width = 6 m

length = width + 6 = 6 + 6 = 12 m

he dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.

Given that the room is 6 meters longer than it is wide, we can represent the width as W. Therefore, the length of the room would be W + 6.

The perimeter of a rectangle is calculated by adding all four sides, which in this case is given as 36 meters. We can express this as an equation:

Perimeter = 2 * (Length + Width)

Substituting the values, we get:

36 = 2 * (W + (W + 6))

Simplifying the equation further, we have:

36 = 2 * (2W + 6)

Dividing both sides of the equation by 2, we get:

18 = 2W + 6

Subtracting 6 from both sides, we obtain:

12 = 2W

Dividing both sides by 2, we find:

W = 6

Now that we have the width, we can calculate the length:

Length = Width + 6 = 6 + 6 = 12

Therefore, the dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.

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No, AA Criterion should not be called the AAA Criterion, because we need only two angles to be equal to prove the similarity.

According to the AA triangle similarity criterion, two triangles are considered similar if their three angles are identical to one another. Equi-angular triangles are comparable in a nutshell.

Since just two pairs of angles must be equal in order for the third pair to be automatically equal thanks to the angle sum property of triangles, the proper term for this criterion would then be the AAA(Angle-Angle-Angle) criterion. However, we refer to it as the AA criterion instead.

Hence, no, because we need only two angles to be equal to prove the similarity.

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The probability that a defective part went through an electronic inspection is 0.2058 or approximately 20.58%.

In order to find the probability that a defective part went through an electronic inspection, Bayes' Theorem will be used. The theorem states that the conditional probability of event A given event B can be calculated as:

P(A | B) = P(B | A) × P(A) / P(B)

where P(A) is the prior probability of event A, P(B | A) is the conditional probability of event B given event A, and P(B) is the overall probability of event B.

In this case, event A is the part that went through an electronic inspection, and event B is the part that is defective. The prior probability of a part going through an electronic inspection is:

P(A) = 0.15, and the overall probability of a part being defective is P(B) = 0.15 ×  0.97 + 0.85 ×  (1 - 0.15) = 0.14695.

The conditional probability of a part being defective given it went through an electronic inspection is P(B | A) = 0.03. The probability of a part that went through an electronic inspection given it's defective is:

P(A | B) = P(B | A) ×  P(A) / P(B) = 0.03 ×  0.15 / 0.14695 = 0.2058

So, the probability that a defective part went through an electronic inspection is 0.2058 or approximately 20.58%.

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Question

At a plant, 30% of all the produced parts are subject to a special electronic inspection. It is known that any produced part which was inspected electronically has no defects with probability 0.15. For a part that was not inspected electronically this probability is only 0.85. What is the probability that it went through an electronic inspection?

3004¢ more does Company B charge for x miles than Company A.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Company A charges ​$35.50 and 9¢ per mile.

Company B charges ​$65.50 and 13¢ per mile.

Also, we could convert dollars to cents by multiply it by 100

Since $1 =100 cents.

so, we get,

Company A charges ​$35.50 and 9¢ per mile. = 3559

Company B charges ​$65.50 and 13¢ per mile = 6563

difference =  6563 - 3559

                 = 3004

Hence, 3004¢ more does Company B charge for x miles than Company A.

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Answer:

x = -55/12

Step-by-step explanation:

12(x+6) = 17

12x + 72 = 17

12x = -55

x = -55/12

Answer:

x=8

Step-by-step explanation:

We can first take out 3(x-5) and expand it into: (3*x) + (3*-5) = 3x-15

Now, let's plug it into the original equation:

3x-15-7 = 2

Let's solve for x:

3x = 2+15+7

3x = 24

x = 8

Option A If the adage regarding the number 403, 043 is accurate, the three on the left is 100 times bigger than the three on the right.

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Answer: The friends should choose the Raft Trip if they want to spend exactly $29.

The equation for the Raft Trip is 6n + 5 = 29. Solving for n, we get n = 4. This means that 4 people can participate in the Raft Trip for $29.

The other two activities, the Amusement Park and the Balloon Ride, have equations 14n = 29 and 30n + 40 = 29, respectively. Solving these equations, we find that neither of them allow exactly 4 people to participate for $29.

Step-by-step explanation:

The activity the friends should choose if they want to spend exactly $29 is Raft Trip

Number of people in the group= 4

Raft Trip:

6n + 5 = 29

6(4) + 5 = 29

24 + 5 = 29

Amusement Park:

14n = 29

14(4) = 29

56 ≠ 29

Balloon Ride:

30n - 40 = 29

30(4) - 40 = 29

120 - 40 = 29

80 ≠ 29

Hence, the friends should choose raft trip it they want to spend exactly $29

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Answer:

Value Cars

Step-by-step explanation:

A1 Taxis: A 5-mile journey costs £15

15 divided by 5 = £3 per mile

Crazy Cabs: A 4-mile journey costs £13

13 divided by 4 =  £3.25 per mile

Value Cars: A 10-mile journey costs £28

28 divided by 10 = £2.80 per mile

The solution for the inequalities, y≥x+1​ is (0, 1) and (-1, 0).

and, solution for the inequalities, y≤x−3​ is (0, -3) and (3, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

y≤x−3​.........(1)

y≥x+1​.............(2)

If we solve the inequality using the graphical method we can see that the inequalities gives the parallel line.

Also, the solution for the inequalities, y≥x+1​ is (0, 1) and (-1, 0).

and, the solution for the inequalities, y≤x−3​ is (0, -3) and (3, 0).

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The diameter of the circle is 24 units.

In geometry, the circle is a curved and closed polygon whose boundary line is at equidistance from a point called the center.

A diameter is a line drawn through the circle's center and joining two points on its circumference. The diameter of a circle is twice its radius

The circumference of a circle is known as the circle's perimeter and is the distance a circle travels around its boundary line.

The formula for the circumference of a circle is given by

Here we have

The circumference of a circle is 75.4 units

Let 'r' be the radius of the circle

As we know Circumference of a circle = 2πr    

=> 2πr = 75.4

=> 2r(22/7) = 75.4

=> 2r = (75.4 × 7)/22  

=> 2r = [527.8]/22

=> 2r = 23.99  

=> 2r = 24 (approx)

Therefore,

The diameter of the circle is 24 units.

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