please help me show my work!!! i got the answer but i need to show my work!

An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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Answer:

The answer is 11/6! Hope this helped!

Steps:

6/3 + (-1/6)

apply rule --> a + (-b) = a - b

6/3 + (-1/6) = 6/3 - 1/6

= 6/3 - 1/6

6/3 = 2

= 2 - 1/6

2 = 6 x 2 over 6

= 6 x 2 over 6 - 1/6

= 12/6 - 1/6

apply fraction rule --> a/c - b/c = a - b over c

12/6 - 1/6 = 12 - 1 over 6

= 12 - 1 over 6

= 11/6

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

The equation of the tangent to the circle at the point where x=4 and y is negative is y = (4/3)x - 16/3, where m = 4/3 and c = -16/3.

The equation of a circle with center (a,b) and radius r is (x-a)² + (y-b)² = r². In our problem, the equation of the circle is x² + y² = 65. This means that the center of the circle is at the origin (0,0) and the radius is √65.

We can find the derivative of x² + y² = 65 using implicit differentiation. Taking the derivative with respect to x, we get:

2x + 2y(dy/dx) = 0

Simplifying this equation, we get:

dy/dx = -x/y

At the point where x=4 and y is negative, we have x=4 and y=-3. Plugging these values into the equation above, we get:

dy/dx = -4/(-3) = 4/3

This means that the slope of the tangent to the circle at the point (4,-3) is 4/3.

To find the equation of the tangent, we can use the point-slope form of a line, which is y - y₁ = m(x - x₁), where (x₁,y₁) is a point on the line and m is the slope. Plugging in the values we found, we get:

y - (-3) = (4/3)(x - 4)

Simplifying this equation, we get:

y = (4/3)x - 16/3

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Answer: 25/8 or 3.125 or \(3\frac{1}{8}\\ \\\)

Step-by-step explanation: Length times width (L x w)

The simplified numerator of the sum is 4x + 6

Given,

We have the following expression for this situation:

x / (x² + 3x + 2) + 3/(x + 1)

And here's where we can start:

x(x + 1) + 3(x² + 3x + 2) / (x² + 3x + 2) (x + 1)

We may now factor the terms x² + 3x + 2 = (x + 1) (x + 2) on the denominator and distribute the terms on the numerator to get:

x² + x + 3x² + 9x + 6 / (x + 2) (x + 1)²

4x² + 10x + 6 / (x + 2) (x + 1)²

Now, the numerator can be factored as follows:

4x² + 10x + 6 = (2x + 2) (2x + 3)

And if we substituted that, we got:

(2x + 2) (2x + 3) / (x + 2) (x + 1)²

We can now apply common factor 2 to the numerator as follows:

2(x + 1) (2x + 3) / (x + 2) (x + 1)²

Additionally, the x+1 can be cancelled on the numerator and denominator as follows:

2(2x + 3) /  (x + 2) (x + 1) = 4x + 6/ (x + 2) (x + 1)

Therefore,

The simplified numerator of the sum is 4x + 6

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Probability that a randomly chosen tire has lifetime greater than 50,000 miles is 0.1056.Proportion of tires with lifetimes between 36 and 45,000 miles is 0.3944.Proportion of tires with lifetimes less than 46,000 miles is 0.7734.

To find the probability of a tire having a lifetime greater than 50 thousand miles, we can calculate the area under the normal curve to the right of the value 50. Using the calculator's normalcdf function with the parameters (50, E99, 41, 4), we obtain a probability of approximately 0.1056.

To find the proportion of tires with lifetimes between 36 and 45 thousand miles, we calculate the area under the normal curve between the values 36 and 45. Using the normalcdf function with the parameters (36, 45, 41, 4), we obtain a proportion of approximately 0.3944.

To find the proportion of tires with lifetimes less than 46 thousand miles, we calculate the area under the normal curve to the left of the value 46. Using the normalcdf function with the parameters (-E99, 46, 41, 4), we obtain a proportion of approximately 0.7734.

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The test statistic for this problem is given as follows:

t = -16.39.

The equation for the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The parameters in this problem are given as follows:

\(\overline{x} = 506, \mu = 691, s = 114, n = 102\)

Hence the test statistic is obtained as follows:

\(t = \frac{506 - 691}{\frac{114}{\sqrt{102}}}\)

t = -16.39.

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Answer:

t = 2 1/3

Step-by-step explanation:

1/4 = 3/12

subtract 3/12 from both sides

t = 2 4/12

simplify

t = 2 1/3

Answer:

t+1/4=2 7/12

Step-by-step explanation:

t+1/4=31/21

t=31/21-1/4

t=103/84

Answer: true

Step-by-step explanation:

Answer:

b c e

Step-by-step explanation:

Answer:

I can't answer this question.

Step-by-step explanation:

There is no "shown spinner", so I have no clue as to what the answer is or could be. Maybe try attaching a photo?

Answer:

A) 60

B) 72/300

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) purple: 72

45+37+52+94+72 = 300

Therefore, 72/300

C) 1000 × (45/300)

150

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

Examples:

In case one of the integers is negative and one positive.

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

Examples:

Step-by-step explanation:

Let the numbers be x and y

If both are of same signs then

|x + y| = x + y

-|x + y| = -(x + y) = -x - y

If one is negative and one is positive

-|x + (-y)| = -|x - y| = -x + y

-|y + (-x)| = -|y - x| = -y + x

9514 1404 393

Answer:

Step-by-step explanation:

A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.

Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.

Example:

  \(\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875\)

hope this helps.enjoy!!!!!!

Answer:

A energia renovável é a energia útil coletada de recursos renováveis, que são naturalmente reabastecidos em uma escala de tempo humana, incluindo fontes neutras em carbono como luz solar, vento, chuva, marés, ondas e calor geotérmico. O termo frequentemente também abrange biomassa, cujo status de carbono neutro está em debate.

Answer:

The number must be between 80 and 83.666002653408

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.666002653408 so it would be between those numbers.

Answer:

78

Step-by-step explanation:

because I know everything

Answer:

See below in bold.

Step-by-step explanation:

1.  21 + 2x + 29 = 180         (as supplementary angles sum to 180 degrees).

2x + 50 = 180

2x = 130

x = 65 degrees.

2. x - 36 + 73 = 180

x = 180 + 36 - 73

x = 143 degrees.

Answer:

yes

Step-by-step explanation:

The interior angles of a triangle will always add up to 180. If you were to sub in 30 for b, which is what they're suggesting, you'll see that it adds up to 180. The same thing goes for if you subbed in 110 for a.

The Exact number of \($$P_{9,2}$$\) is \(72\)

The Exact number of \($$C_{7,5} $$\) is \(21\)

An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.

Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.

Here we have to compute \($P_{9,2}$\) means

\(P_{1,5} & =\frac{7 !}{(7-5) !}\)

\(P_{9,2} & =\frac{9 !}{(9-2) !}\)

\(=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}\)

\(P_{9,2} & =7 \times 8=72\)

Hence \($P_{9,2}$\) \(=72\)

Here we have to compute \($C_{7,5}$\) means

Combination \($(7,5)$\)

\($$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$\)

Hence

\($$C_{7,5}=21$$\)

Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.

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The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

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The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.

There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.

To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:

nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.

Thus,

nC2 = (15!)/((2!)(15-2)!)

nC2 = (15x14)/(2x1)nC2

= 105

Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.

This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.

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1) The complement is that fewer than 16 of the cell phone batteries are defective. 2) The complement is that less than 16 cell phone batteries are defective. 3) The complement is that at most 16 cell phone batteries are defective. 4) The complement is that at least 16 cell phone batteries are defective.

From samples of 100 phone batteries, Exactly 16 of the cell phone batteries are defective. The complement is: The number of cell phone batteries which are defective is not 16. At least 16 of the cell phone batteries are defective. The complement is: 15 or fewer cell phone batteries are defective. More than 16 of the cell phone batteries are defective. The complement is: 16 or fewer cell phone batteries are defective. Fewer than 16 of the cell phone batteries are defective. The complement is: 16 or more cell phone batteries are defective.

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The volume of a cone is given by the formula:

V = (1/3) * pi * r^2 * h

where r is the radius of the base and h is the height of the cone.

Substituting the given values, we get:

V = (1/3) * pi * 9^2 * 23

V = (1/3) * pi * 729 * 23

V = 6,859 pi

Therefore, the volume of the cone is 6,859 pi cubic units.

Answer: A problem is said to be intractable if there is no efficient algorithm to solve it.

Intractable problems are common. We need to discuss how we approach it when we actually encounter it.

Step-by-step explanation:

How many colours do you need to colour a graph such that no adjacent vertices are of the same colour showed in the image below?

Conclusion : Provided the graph with a large number of vertices, we see that we are again faced with resorting to a systematic tracing of all paths, comparison of the neighbour's colours, backtracking, etc resulting in exponential time complexity once again.

Answer:

5 days.

Step-by-step explanation:

Jasmine has two options:

Rent skis at the resort for $30 per day.

Then if she rents the skis for N days, the cost will be:

C(N) = N*$30

Buy skis for $150

Now we can ignore the lift pass because she will pay that in both cases.

Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.

Then we need to solve:

C(N) = $150

N*$30 = $150

N = $150/$30 = 5

So if you rent the skis for 5 days, you will pay the same as if you bought the skis.

Answer:

(879,120)÷(56709072) ×(-659340)=-10221.274

Step-by-step explanation:

we use bedmas rules when it comes to long solving questions.

Answer:

Step-by-step explanation

the diving board is 2 ft then mike jumps 2 more ft off the diving board how high was mike off the ground after he jumped

Answer:

the answer for the question is 8x2000

which is 16000 pounds