Show your work solving the following equation for y.

12y-4=32

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.

To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.

The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.

To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.

On February 14th, the Sun's declination is approximately -12°.

The Sun angle at noon can be calculated using the following formula:

Sun angle = 90° - (latitude - declination)

Substituting the values, we have:

Sun angle = 90° - (41° - (-12°))

Simplifying this equation, we get:

Sun angle = 90° - 41° + 12°

Sun angle = 61°

Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.

None of the provided answer choices match the correct answer.

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Answer:

- 30

Step-by-step explanation:

Given

f (x) = - x² - 7x

To find : f (- 10)

- x²

= - (- 10)²

= - [ (- 10)×(- 10) ]

= - [ 100 ]

= - 100

- 7x

= - 7 × - 10

= 70

f (- 10) = - 100 + 70

f (- 10) = - 30

C(x)= 50.41

for the minute multiplying 9×50= 400 minute

the account balance can change quickly and frequently based on transactions and fees, so it's important to keep track of your transactions carefully and reconcile your account regularly to ensure that you have an accurate balance.

Unfortunately, there is no checkbook or transaction provided in your question. Without knowing the details of the transaction and the starting balance, it is not possible to determine the account balance on January 28.
However, I can provide some general information on how to calculate account balances based on transactions in a checkbook. To determine the account balance at any given point in time, you need to start with the starting balance (which is typically the balance on the previous statement) and then add or subtract the transactions that have occurred since that time.
To do this, you would need to look at the transactions in the checkbook and classify them as either deposits or withdrawals. Deposits are amounts of money that have been added to the account, while withdrawals are amounts of money that have been taken out of the account.
For each deposit, you would add the amount to the starting balance. For each withdrawal, you would subtract the amount from the starting balance. Once you have gone through all the transactions, the resulting amount should be the account balance.

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Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

We want to solve the following problem

One way to solve this problem is multiply numerator and denominator by 10 and we got:

And now we can simplify, we can start dividing by 2 both and we got:

Now since both are multiples of 5 we can divide both by 5 and we got:

And finally we can divide both by 3 and we got:

And that represent the mostsimplified form for this case

Answer:

hmmm.

I believe it just to add them together 59.4

The volumes of the solids generated by rotating the given region around the given axis of rotation are 200π, 120π, 120π, and 80π, respectively.

Pappus' Theorem states that the volume of a solid generated by rotating a planar region about an external axis is equal to the product of the area of the region and the distance traveled by the centroid of the region during the rotation.

We can apply this theorem to find the volume of the solids generated by rotating the given region around the given axis of rotation.

a. When the region R is rotated around the x-axis, the distance traveled by the centroid is 2π(5) = 10π. Therefore, the volume of the solid is 20 × 10π = 200π.

b. When the region R is rotated around the y-axis, the distance traveled by the centroid is 2π(3) = 6π. Therefore, the volume of the solid is 20 × 6π = 120π.

c. When the region R is rotated around x=2, the distance traveled by the centroid is 2π(5-2) = 6π. Therefore, the volume of the solid is 20 × 6π = 120π.

d. When the region R is rotated around y=1, the distance traveled by the centroid is 2π(3-1) = 4π. Therefore, the volume of the solid is 20 × 4π = 80π.

Therefore,the solids generated by rotating the specified region around the specified axis of rotation have volumes of 200π, 120π, 120π, and 80π,  respectively.

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Answer: 23

Step-by-step explanation:

Answer: no 3 is grade then -6 as 3 is positive number and 6 is negative number so positive is greater then negative number.

Step-by-step explanation:

In order to indicate if a number is greater than or less than another, we use the symbols > and <. For example, 10 is greater than 3, so we write it 10 > 3.

Answer:

(5,-3)

hope this helps

have a good day :)

Step-by-step explanation:

Answer: it’s b

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

its b

Answer:

-33

Step-by-step explanation:

It says that u = 5

So, the absolute value of ∣5∣ is 5

-17(5) + 52

-85 + 52

-33

Answer:

371.5

Step-by-step explanation:

Answer: 371.50

Work: Since B = 10, you add 10 to 2b, and you get the equation 351.50 + 20. After addition, you get 371.50.

I hope this helps, and Happy Holidays! :)

Answer:

Angle 8

Step-by-step explanation:

Supplementary angles are angles that are equal to 180 degrees.

The values are:

cosec² B ≈ 5.2

tan(A - B) ≈ 0.5

We have,

To calculate the values, we'll use the following trigonometric identities:

- Cosecant squared (cosec²) is the reciprocal of the sine squared (sin²): cosec² B = 1/sin² B

- Tangent (tan) difference formula: tan(A - B) = (tan A - tan B) / (1 + tan A * tan B)

Given:

A = 40°

B = 25°

To find cosec² B:

Find sin B using the sine function: sin B = sin(25°)

Calculate cosec² B using the reciprocal of the sine squared: cosec² B = 1/sin² B

To find tan(A - B):

Find tan A using the tangent function: tan A = tan(40°)

Find tan B using the tangent function: tan B = tan(25°)

Calculate tan(A - B) using the tangent difference formula: tan(A - B) = (tan A - tan B) / (1 + tan A * tan B)

Let's calculate the values now:

cosec² B:

sin B = sin(25°) = 0.4226 (rounded to four decimal places)

cosec² B = 1/sin² B = 1/0.4226² ≈ 5.2268 (rounded to one decimal place)

tan(A - B):

tan A = tan(40°) = 0.8391 (rounded to four decimal places)

tan B = tan(25°) = 0.4663 (rounded to four decimal places)

tan(A - B) = (tan A - tan B) / (1 + tan A x tan B)

= (0.8391 - 0.4663) / (1 + 0.8391 * 0.4663)

= 0.4662 (rounded to one decimal place)

Therefore,

The values are:

cosec² B ≈ 5.2

tan(A - B) ≈ 0.5

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Answer:

28 cm

Step-by-step explanation:

The perimeter (P) is the sum of the sides

P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )

   = 8 + 6 + 8 + 6

   = 28 cm

EXPLANATION

In order to order the real numbers from least to greatest we need to consider that we need to draw a number line.

The line scale marks are equally spaced and usually represent integers.

To plot a real number:

Draw and label a number line

Find where the number is on the number line and place a dot on the numbers.

Plotting Real numbers on the Number Line

Example: Graph the number 3/2 and -3.5 on a number line.

Comparing Real Numbers:

In order to compare the real numbers, we need to replace the blank with > , < or = to make a true sentence.

Example:

2/7 < 0.5

3/2 > 0.5

4/4 = 1

When we are asked to order numbers from least to greatest we can use the number line to help us to plotting the numbers and reordering them.

A strategy we can use here is to convert the numbers to decimals and then plot and/or order them as requested.

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

x = 1

Step-by-step explanation:

3x +2y = 15

y = 6x

Substitute y for 6x in 3x +2y = 15!

3x + 2(6x) = 15

3x + 12x = 15

Combine like terms

15x = 15

Divide both sides by 15

15x = 15

x = 1

Brainliest is much appreciated!

Answer:

robin would type D 60 characters in 20 seconds

The critical point of the function f(x, y) = 3x^2 + 7x + 2y + 3y^2 corresponds to the values x = -7/6, y = -1/3, and z = -135/36.

To find the critical points of the function f(x, y) = 3x^2 + 7x + 2y + 3y^2, we need to find the partial derivatives with respect to x and y, and then set them equal to 0.

Step 1: Find the partial derivatives.
∂f/∂x = 6x + 7
∂f/∂y = 2 + 6y

Step 2: Set the partial derivatives equal to 0.
6x + 7 = 0
2 + 6y = 0

Step 3: Solve for x and y.
6x + 7 = 0 => x = -7/6

2 + 6y = 0 => y = -1/3

Now that we have the values for x and y, we can find the value of z by substituting these values back into the original function.

Step 4: Find the value of z.
z = f(x, y) = 3(-7/6)^2 + 7(-7/6) + 2(-1/3) + 3(-1/3)^2

z = 3(49/36) - 49/6 - 2/3 + 1/3

z = (147/36) - (98/12) - (4/12) + (4/12)

z = (147 - 294 + 12)/36

z = -135/36

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Answer:

its A or the first one ;)

Step-by-step explanation:

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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The p-value for the given test is approximately 0.067, rounded to two significant digits. This was calculated by finding the area to the right of z=1.5 under the standard normal distribution.

It is given that Null hypothesis: H0: μ ≤ 0, Alternative hypothesis: H1: μ > 0, Population standard deviation: σ = 1, Test statistic: z = 1.5

To find the p-value, we need to calculate the probability of observing a z-value of 1.5 or greater under the null hypothesis. Since the population follows the standard normal distribution, we can use a standard normal table or a calculator to find this probability.

Using calculator, we can find that the area to the right of z = 1.5 is approximately 0.0668 (rounded to four decimal places).

Since this is a one-tailed test with the alternative hypothesis in the right tail, the p-value is equal to the area in the right tail beyond the observed z-value. Therefore, the p-value for the test is approximately 0.067 (rounded to two significant digits).

So, the p-value for the given test is 0.067 (rounded to two significant digits).

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Answer:

b=10

Step-by-step explanation:

please if you like my answer you can mark it as brainliest

The root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828.

The zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method is approximately 12.2712212.

To find the root of a function using the Regula Falsi Method, we follow these steps:

Step 1: Start with an initial interval [a, b] where the function f(x) changes sign. In this case, we have the interval [-7, -6].

Step 2: Calculate the values of f(a) and f(b). If either f(a) or f(b) is zero, then we have found the root. Otherwise, proceed to the next step.

Step 3: Find the point c on the x-axis where the line connecting the points (a, f(a)) and (b, f(b)) intersects the x-axis. This point is given by:

c = (a  f(b) - b f (a) ) / ( f(b) - f(a) )

Step 4: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 5: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 6: Repeat steps 2-5 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Applying these steps to the given function f(x) = 4xcos(3x - 5) in the interval [-7, -6], we find that the root is approximately -6.413828.

To find the zero/s of a function using the Bisection Method, we follow these steps:

Step 1: Start with an interval [a, b] where the function f(x) changes sign and contains a root. In this case, you haven't provided the interval.

Step 2: Calculate the midpoint c of the interval: c = (a + b)/2.

Step 3: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 4: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 5: Repeat steps 2-4 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Without the interval for the function f(x) = 2.75(x/5) - 15, we cannot find the zero/s using the Bisection Method.

Therefore, the root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828, and the zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method cannot be determined without the interval.

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Answer:

40%

Step-by-step explanation:

The probability is 8/20 = 2/5 = 0.4 = 40%