Which of the following statements are equivalent to the statement "price increased by 1/2 of what it was before"?
Choose all correct answers.

(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before

Answer:

x=-5

I think this is right

Step-by-step explanation:

Check the picture below.

Answer:

x = 11

Step-by-step explanation:

both the petagons are similar so the sum of their sides will be same

i.e.

sum of ABCDE = sum of JKLMN

ABCDE = sum of all the five sides = 6+2+2+3+3 = 16

thus,

sum of JKLMN = 16

16 = x+1+1+1.5+1.5

16 = x+5

x = 16-5 = 11

A coordinate that is a solution to the first equation but not a solution to the system of equations is (3, 1.5).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

a) Given that, the graph shows the equations y= - 1/2x+3 ------(i) and y=2x-2 ------(ii).

From the graph, the solution is (2, 2)

b) Put x=1 in equation (i), we get

y= -1/2(1)+3

y= 2.5

Put x=2 in equation (i), we get

y= -1/2(2)+3

y= 2

Put x=3 in equation (i), we get

y= -1/2(2)+3

y= -1/2 (3)+3

y= -1.5+3

y= 1.5

So, a coordinate that is a solution to the first equation is (3, 1.5)

Therefore, a coordinate that is a solution to the first equation but not a solution to the system of equations is (3, 1.5).

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Answer:

208 Cars will be brought back for major repairs.

Step-by-step explanation:

With the simple calculation of:

[tex]\frac{170}{1360}\frac{26}{x}[/tex]

We are solving for x.

We cross-multiply 1360 by 26.

35,360

Then divide that by 170.

which will get us the result of 208.

Answer:

2,810 feet

Step-by-step explanation:

Take a look at the diagram

There are two triangles formed with a common side AB

AB represents the vertical height of the plane = 5150 feet

AC represents the distance of car 1 from O

In ΔABC, m∠A = 90°, m∠ABC = 38°

Since the three angles of triangle must add up to 180°
90 + 38 +m∠C = 180

128 + m∠C = 180°

m∠C = 180 - 128 = 52°

In a right angle triangle where one side is the angle ∅, the ratio of the side opposite this angle to the side adjacent to the angle is tan∅

Using the values provided we get
tan(52°) = 5150/AC

AC= 5150/tan(52) = 4,023.62 feet ≈ 4024 feet

This is the horizontal distance of the first  car from the plane

Similarly for ΔABD

m∠D = 180 - (90 + 53) = 37°
tan(37) = 5150/AD

AD= 5150/tan(53) = 6,834.28 feet ≈ 6834 feet

This is the horizontal distance of the second car from the plane

The distance between the two cars = 6,834 - 4,024

= 2,810 feet

Answer:

Step-by-step explanation:

Similar

Answer:

Add 5 +4 × 6 ÷ 3 - 7 + 3and you will get 14 and that is your answer

Maddie wrote six different equations based on the triangle below.Four of the six equations that Maddie wrote are correct which are options A, D , E and F.

This is referred to as a polygon with three edges and three vertices.

Triangle ABC was given in the picture.

∠A = 60° and ∠B = 90° which is given in the figure

sin 60° = perpendiculer /hypotenuse

√3/2 = BC/10

BC = √3/2 × 10

BC = 5√3

tan 60° = perpendiculer /base

√3 =  5√3/AB

AB = 5√3/√3

AB = 5

sin 60° = 5√3/10 = √3/2

cos 60° = base / hypotenuse

cos 60° = 5/10 = 1/2

tan 60° = perpendicular /base

tan 60° = 5√3/5 = √3

cot 60° = 1 /√3

Therefore the equations which are correct are sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.

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Answer:

To write 31415/10000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 31415 by 10000 what we write down as 31415/10000 and we get 3.1415

Answer:

Step-by-step explanation:

You want the slope-intercept form equation for the tangent line at point (π/6, 1) on the curve y = 2·sin(x).

The slope of the line at the point of tangency is the derivative of the curve at that point:

  y' = 2cos(x) = 2·cos(π/6) = 2(√3/2)

  m = √3 . . . . . approximately 1.7321

Solving the line's equation for b, we have ...

  y = mx +b

  b = y -mx = 1 -(√3)(π/6)

  b = 1 -π√3/6 . . . . . approximately 0.0931

The equation of the line is ...

  y = mx +b

  y = (√3)x +1 -(π√3)/6

Answer:

$80

Step-by-step explanation:

Answer:

tan60 = [tex]\frac{x}{6}[/tex]

      x = 6 x tan60

         = 10.4 ( cor to 3 significant figures)

cos60 = [tex]\frac{6}{y}[/tex]

        y = [tex]\frac{6}{cos60}[/tex]

           = 12

Answer: To project the population in 2020, we can use the linear trend line equation.

First, we need to find the equation of the line. Let's use the two given points, (2000, 220,000) and (2010, 252,000), to find the slope of the line:

slope = (252,000 - 220,000) / (2010 - 2000) = 32,000

Next, we can use the slope-intercept form of the line equation: y = mx + b, where m is the slope and b is the y-intercept.

Plug in the first point: 220,000 = 32,000 * 2000 + b

Solve for b: b = 220,000 - 32,000 * 2000 = -44,000,000

The equation of the line is: y = 32,000x - 44,000,000

Finally, we can use the equation of the line to project the population in 2020:

y = 32,000 * 2020 - 44,000,000 = 264,000

So, the projected population in 2020 is 264,000.

Step-by-step explanation:

The quadratic binomial in discuss as described in the task content is; 3x² - 7.

It follows from the task content that the expression in discuss is a quadratic binomial. In essence, there are only 2 terms.

Therefore, the expression should takes the form; ax² + b.

However, since the leading coefficient, a is said to be 3 and the constant, b is said to be -7; we have that;

3x² - 7.

Ultimately, the quadratic binomial is; 3x² - 7.

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Answer:

f(0) = -3

Step-by-step explanation:

1. Insert f(0) into the function of f(x) = 3x-6

2. f(0) = 3 x 0 - 6

3. f(0) = 3 - 6 =  -3

Answer:

5

Step-by-step explanation:

We can set up an equation.
Let x be the number.

So 5x+5 would be equal to 30.

5x+5 = 30

Subtract 5 on both sides:
5x = 25

Divide by 5 on both sides:

x = 5

Answer:

y=1/5x+10

Step-by-step explanation:

The set of polynomials over F is the set of all possible polynomials with coefficients from F, which includes all polynomials with degree up to the size of F.

A polynomial over a finite field is a mathematical expression of the form

[tex]P(x) = a_0 + a_1x + a_2x^2 + ... + a_nx^n[/tex],

where the coefficients a_i are elements of a finite field F. Therefore, the set of polynomials over a finite field F is the set of all possible polynomials with coefficients from F. For example, if F is the field with two elements {0, 1}, then the set of polynomials over F is [tex]{0, 1, x, x + 1, x^2, x^2 + 1, ...}[/tex]. As another example, if F is the field with three elements {0, 1, 2}, then the set of polynomials over F is [tex]{0, 1, 2, x, x + 1, x + 2, x^2, x^2 + 1, x^2 + 2, ...}[/tex]. In general, the set of polynomials over F is the set of all possible polynomials with coefficients from F, which includes all polynomials with degree up to the size of F.

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The area covered by the circular spotlight is given as follows:

C. 153.86 square feet.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

π can be rounded to 3.14, hence the equation for the area is given as follows:

A = 3.14r².

The radius is of 7 feet, hence the area is given as follows:

A = 3.14 x 7²

A = 153.86 square feet.

Meaning that option C is the correct option for this problem.

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The required percent​ decrease from 20 to 16 is given as 20%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To find the percent decrease, we can use the formula:

Percent Decrease = (original quantity - new quantity) / original quantity * 100%

Plugging in the values:

Percent Decrease = (20 - 16) / 20 * 100%

= 4 / 20 * 100%

= 20%

So, the percent decrease is 20%.

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Answer: The actual area of the living room floor is 11 feet * 18.9 feet = 208.9 square feet. The estimated area of the living room floor is 12 feet * 20 feet = 240 square feet.

The difference in cost between the flooring to cover the actual area and the flooring to cover the estimated area of the living room floor is 240 square feet - 208.9 square feet = 31.1 square feet.

Therefore, the approximate difference in cost is 31.1 square feet * $8 per square foot = $248.80, which is closest to option (D) $250.

Step-by-step explanation:

The probability of guessing the top 3 horses in order in a field of 20 horses in the Kentucky derby is, Very low value approximately 0.000145

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

There are total 20 horses,

The probability of guessing the top 3 horses in order = ?

The probability of guessing the top 3 horses in order in a field of 20 horses in the Kentucky Derby would be 1 in 20 x 19 x 18 = 6840.

This means that the probability of guessing the top 3 horses correctly would be 1/6840 or approximately 0.000145.

It is a very low probability and requires a lot of knowledge, research, and luck to correctly guess the top 3 horses in order.

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Answer: THE ANSWER IS 18/42 

Step-by-step explanation:

a) The sets A, B and D form a partition of the real numbers, as each real number is present in exactly one of of these sets.

b) The sets B, D and E do not form a partition of the real numbers, as the element x = -2 belongs to both sets D and E.

The conditions for the partition of a set are given as follows:

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It falls between: The population mean is 13. 8. The population variance is 192. The population's standard deviation is 13.856.

A key measure of dispersion in statistics is population standard deviation. additional reading Statisticians compute variance to determine how various values inside a data collection interact to one another. While calculating the population variance, one may also compute the dispersion in relation to the population means.

The range: 15 - 2 = 13

The population mean is:

Mean = ( 2 + 10 + 15 + 2 + 12 + 13 + 7 + 3 + 8  ) / 9 = 8

The population variance ( S² or Sigma² ):

S ² = 1/9 · ( ( 2 - 8 )² + ( 10- 8 )² + ( 15 - 8 )² + ( 2 - 8 )² + ( 12 - 8 )² + ( 13 - 8 )² + ( 7 - 8 )² + ( 3 - 8 )² + ( 8 - 8 )²  )

S ² = 192

The population standard deviation:

S = √(S²) = √192 = 13.856

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32.66 repeated :>))))))))))))))

Answer:

30.6666666667

Step-by-step explanation:

92÷3 = 30.6666666667

The variable y as the subject formula in the equation (2/3)y + v = x is y = (3/2)(x) - (3/2)(v)

Given the equation in the question;

(2/3)y + v = x

y = ?

Solve for y, we make 'y' the subject of the formula.

(2/3)y + v = x

Subtract v from both sides

(2/3)y + v - v = x - v

(2/3)y = x - v

Multiply both sides by 3/2

(3/2)(2/3)y = (3/2)(x - v)

y = (3/2)(x - v)

Apply distributive property.

y = (3/2)(x) - (3/2)(v)

Therefore, y equals (3/2)(x) - (3/2)(v).

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The values of h and k are given as follows:

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The parent function for this problem is given as follows:

[tex]y = \sqrt[3]{x}[/tex]

Which makes the curve at the origin.

From the graph, the curve is made at point (1,-2), hence the translations are given as follows:

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It will take the inattentive driver 5.22 seconds to come to a complete stop, assuming the car's deceleration remains constant.

An inattentive driver traveling 16.0 m/s when he notices a red light ahead and his car is capable of decelerating at a rate of [tex]3.06 m/s^2[/tex]. To determine how much time it will take for the car to come to a complete stop, we can use the following equation of motion:

v = v0 + at

where v is the final velocity (in this case, 0 m/s), v0 is the initial velocity (16.0 m/s), a is the acceleration (negative, because the car is slowing down), and t is the time.

Rearranging and solving for t, we get:

t = -v0 / a

t = -16.0 / (-3.06)

t = 5.22 seconds

So, it will take the inattentive driver 5.22 seconds to come to a complete stop, assuming the car's deceleration remains constant. This time can be used to determine the minimum distance the driver needs to maintain between himself and the vehicle in front of him to avoid a collision.

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Reliability refers to the consistency of measures, whereas validity refers to the truthfulness of a measurement.

The size, capacity, or amount of something determined by measurement. Use equal amounts of ingredients. Something used for measurement (such as a ruler or cup). A unit used to measure. A foot is a measure of length. 

Statistics is a science concerned with developing and studying methods for  measure, collecting, analyzing, interpreting, and presenting empirical data. 

Statistics is the branch of mathematics for collecting, analyzing and interpreting data. Statistics can be used to predict the future, determine the likelihood of certain events occurring, and answer research questions. 

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