A game decreased in price by 1/6
After the reduction it was priced at £75.
What was the original price of the game?

Answer: it should be 2/-3 = -0.666667

Step-by-step explanation: This is the equation you use to find the slope.

m =  

y2 - y1

x2 - x1

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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The perimeter of the combination of triangle and rectangle shapes will be 61 centimeters.

The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.

The accompanying figure is made of a triangle and a rectangle shape. The sides of the triangle are all a similar length and the aspect of the rectangle shape is 5 cm by 23 cm.

The summation of the outer length of the shape is known as the perimeter. Then we have

P = 23 + 5 + 23 + 5 + 5

P = 61 cm

The perimeter of the combination of triangle and rectangle shapes will be 61 centimeters.

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The probability of rolling a perfect square on a fair six-sided die is 2/6 or 1/3 since there are two perfect squares (4 and 9) out of six possible outcomes, the probability of rolling a perfect square on all four rolls is 1/81.

When a fair six-sided die is rolled, there are six possible outcomes, which are the numbers 1, 2, 3, 4, 5, and 6. Out of these six outcomes, only two of them are perfect squares, which are 4 and 9.

Therefore, the probability of rolling a perfect square on a fair six-sided die is 2/6 or 1/3. Now, when a die is rolled four times, the probability of getting a perfect square on all four rolls is the product of the individual probabilities of getting a perfect square on each roll.

Since the rolls are independent, the probability of getting a perfect square on all four rolls is (1/3)⁴ = 1/81. Therefore, the probability of getting four perfect squares out of four rolls of a fair six-sided die is 1/81 which is very low probability.

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The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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Answer:

2(2+11)

Step-by-step explanation:

i hope it helps i guess

Answer: \(w=\frac{12}{13}\)

Step-by-step explanation:

To solve for w, we want to isolate the variable.

\(\frac{1}{3}w +\frac{5}{6}w-2=-w\)        [add both sides by 2 and w]

\(\frac{1}{3}w +\frac{5}{6}w+w=2\)           [convert to same denominator]

\(\frac{2}{6}w +\frac{5}{6}w+\frac{6}{6} w=2\)         [add]

\(\frac{13}{6} w=2\)                          [multiply both sides by 6/13]

\(w=\frac{12}{13}\)

Now we know that \(w=\frac{12}{13}\).

Answer:

Step-by-step explanation:

1/3w + 5/6w - 2 = -w    Collect like terms on the left.

Before I do, I'm going to assume the question is (1/3)w + (5/6)w - 2 = - w

(1/3)w + (5/6)w - 2 = - w

1/3 + 5/6 = 2/6 + 5/6 = 7/6

(7/6)w - 2 = -w             Add w to both sides

(7/6)w + w - 2 = 0        Combine the left

(7/6)w + 6/6 w - 2 = 0

(13 / 6) w - 2 = 0          Add 2 to both sides

(13/ 6) w = 2                 Divide by 13/6

w = (2/1 ) ÷ (13/6)          Invert the denominator and multiply

w = 2/1 * 6/13

w = 12/13    

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

Step-by-step explanation:

66

Answer:

9

Step-by-step explanation:

45 divided by 5 is 9

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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Answer:

Step-by-step explanation:

You want the length of the minimum perimeter fence to enclose 3 sides of a rectangular area of 128 m² with one side of the enclosure provided by a river. You also want the enclosure dimensions.

If x represents the dimension of the enclosure parallel to the river, then the other dimension of the enclosure is found from ...

  A = LW

  128 = x·W

  W = 128/x

There will be two sides of this length, so the perimeter is ...

  P = L +2W = x +2(128/x)

  P = x + 256/x

This has an extreme value (minimum) where its derivative is zero:

  dP/dx = 0 = 1 -256/x²

Solving for x gives ...

  x² = 256

  x = √256 = 16

and the perimeter is ...

  P = 16 +256/16 = 32

The other dimension is 128/16 = 8.

The minimum perimeter is 32 meters; the enclosure is 16 by 8 meters.

__

Additional comment

This can be solved without using derivatives by working the reverse problem: the largest area for a given perimeter.

Using the same definition of x, the area in terms of perimeter is ...

  A = x · (P -x)/2

This is a quadratic equation with a maximum halfway between its zeros at x=0 and x=P. So, the value of x for maximum area is x = P/2. That area is ...

  A = (P/2)(P -P/2)/2 = (P/2)(P/4) = P²/8

Or, the minimum perimeter for a given area is ...

  P = √(8A)

In this problem, that is ...

  P = √(8·128) = √1024 = 32

The dimensions of the enclosure are (P/2)×(P/4) = 16×8.

Answer: The last one is the right one

Step-by-step explanation:

So first solve for n

1/2n+3<5

1/2n<2, multiple by 2 on both sides to remove fraction

n<4

the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.

Answer:

It is between B and C but what I would choose is C.

The radius, area and circumference of the circle is invariant properties of the circle. Option a, c and d to be chosen.

Properties to be determine that would not change after the rotation of circle.

Circle is locus of the point whose distance from the fixed points i.e. center is fixed.

Here, circle has unit radius and center at origin. If the circle is rotated along the point any where in the space the propertied that would be fixed is its radius, area  and circumference.

Thus, the radius, area and circumference of the circle is invariant properties of the circle.

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Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)

Answer:

C

Step-by-step explanation:

16 times 0.5x equals 8x.

16 times -0.75 equals -12y, so this means A and D are incorrect.

16 times 2 is 32, so this means that B is wrong, for you must multiply each number in the parentheses by 16.

Hope that helps :)

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

The first one is correct

The second one is also correct

The third is also correct

Congrats!

Answer:

1) \(\boxed{Option \ B}\)

2) \(\boxed{Option \ B}\)

3) \(\boxed{Option \ B}\)

You're totally correct, Man! :)

Step-by-step explanation:

Question 1:

\((6b^2-4b+3)-(9b^2-3b+6)\\Resolving \ the\ brackets\\6b^2-4b+3-9b^2+3b-6\\Combining \ like \ terms\\6b^2-9b^2-4b+3b+3-6\\-3b^3-b-3\)

Question 2:

\((b+6)(b-3)\\Using \ FOIL\\b^2-3b+6b-18\\b^2+3b-18\)

Question 3:

\((4x-3)(6x-1)\\Using \ FOIL\\24x^2-4x-18x+3\\24x^2-22x+3\)

Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Answer:

The discounted price, not including tax and tip is $56.25.

Answer:

X° = 45°

Y = 8√2

Step-by-step explanation:

Angle of this triangle 45°:45°:90° so ratio of the triangle = 1:1:√2

8:8:8√2

I hope you understand it and sorry if it is wrong

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

obtuse triangle.

obtuse triangle