What is 17 rounded to the nearest tenth of an inch

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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Answer:

136

Step-by-step explanation:

2(6)^2-(-4)^3

2(36)+64

72+64

-Hope it helps :)

Answer:

301.59

Step-by-step explanation:

your answer was almost right you just forgot to multiply by 9

The point-slope formula of a line can be expressed by the following equation:

Where m is the slope and (y1, x1) is a point that belong to the line. For this problem we were given a line with slope 5/2 and a point (-4,-8). By replacing these values on the general expression above we have:

Answer:

Step-by-step explanation:

Answer:

The correct answer is (a) 60%.

Step-by-step explanation:

To calculate the net profit margin, we first need to calculate the net profit, which is the revenue minus the cost of goods sold (COGS) minus the operating expenses.

Revenue = $35

COGS = $7

Operating expenses = 20% of revenue = 0.2 x $35 = $7

Net profit = Revenue - COGS - Operating expenses

Net profit = $35 - $7 - $7 = $21

To calculate the net profit margin, we divide the net profit by the revenue and express it as a percentage:

Net profit margin = (Net profit / Revenue) x 100

Net profit margin = ($21 / $35) x 100

Net profit margin = 60%

Therefore, the correct answer is (a) 60%.

The data can be shown in the frequency table with only 4 intervals and the histogram is shown in the picture.

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have data:

6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7

Intervals   Frequency

 0 - 3     6

 3 - 6     11

 6 - 9     3

 9 - 12     0

The histogram is shown in the attached picture.

Thus, the data can be shown in the frequency table with only 4 intervals and the histogram is shown in the picture.

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Answer: C

Step-by-step explanation:

Since the inequalities for all 4 options are different, all you need to look at are the inequality signs.

For the line with a positive slope (bottom left to top right), the point it ends at is not filled in, so that point is not included meaning it is x > 1.

For the line with a negative slope (top left to bottom right), the point it ends at is filled in, so that point is included meaning it is x \(\leq\) 1.

C. is the only one that has these inequalities.

Answer:

3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

- 3x ≥ - 12

divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ 4

since ≤ the circle on number line is solid ( not open )

since less than 4 then arrow points left away from 4

the solution is shown on the third graph

Answer:

13

Step-by-step explanation:

\(d = \sqrt{(-11-1)^{2}+(13-8)^{2} }\)

\(d = \sqrt{(-12)^{2}+(5)^{2} }\)

\(d = \sqrt{144+25}\)

\(d = \sqrt{169}\)

\(d = 13\)

Answer:(3,5)(3,-4)(8,-4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for the angles, you can use the fact that the sum of the angles in a triangle is 180 degrees.

So, you can set up an equation:

43 + 3x + (5x-5) = 180

Simplifying, you get:

8x + 38 = 180

Subtracting 38 from both sides:

8x = 142

Dividing both sides by 8:

x = 17.75

Now that you know x, you can plug it into the expressions for the other two angles to find their measures:

First angle = 3x = 3(17.75) = 53.25

Third angle = 5x - 5 = 5(17.75) - 5 = 83.75

Therefore, the three angles are 43 degrees, 53.25 degrees, and 83.75 degrees.

A homogenous production function is when the output changes in the same proportion as the factors of production are increased or decreased.

The function Q = 2K¹/2³/2 is a homogenous production function because it satisfies the following property:

\(Q(αK, αL) = αQ(K,L)\) Where α is a constant representing the scaling factor. If we substitute αK for K and αL for L in the original function,

we get:\(Q(αK, αL) = 2(αK)¹/2³/2Q(αK, αL) = 2α¹/2K¹/2³/2Q(K,L) = 2K¹/2³/2\)

So, we can see that the output changes in the same proportion as the factors of production are increased or decreased. Therefore, Q = 2K¹/2³/2 is a homogenous production function.

In this case, the degree of homogeneity is: \((1/2) + (3/2) = 2\)

The returns to scale can be determined by looking at how the output changes as all inputs are increased by a constant factor.

If the output increases by a greater factor, then the production function exhibits increasing returns to scale. If the output increases by a smaller factor, then the production function exhibits decreasing returns to scale.

In this case, if we double both K and L,

we get:\(Q(2K, 2L) = 2(2K)¹/2³/2Q(2K, 2L) = 4K¹/2³/2Q(K,L) = 2K¹/2³/2\)

We can see that the output increases by a factor of 2, so the production function exhibits constant returns to scale.

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The given production function is homogeneous of degree 3/4 and exhibits decreasing returns to scale.

The given production function, Q = 2K^(1/2)^(3/2), is homogeneous because it satisfies the definition of homogeneity. A production function is said to be homogeneous of degree "n" if for any positive constant "t" and any positive values of inputs, multiplying all inputs by "t" results in the output being multiplied by "t^n".

To find the degree of homogeneity, we need to determine the value of "n" in the given production function. In this case, we have Q = 2K^(1/2)^(3/2). We can rewrite this as Q = 2K^(3/4).

Comparing this with the general form Q = AK^n, we can see that the value of "n" in this case is 3/4. Therefore, the degree of homogeneity for this production function is 3/4.

Now, let's discuss the returns to scale. Returns to scale refer to how the output changes when all inputs are proportionally increased.

Since the degree of homogeneity is less than 1 (3/4), the production function exhibits decreasing returns to scale. This means that if all inputs are increased by a certain proportion, the increase in output will be less than that proportion.

For example, if we double the inputs (K and Q) in the production function, the output will increase by less than double. This indicates that the production function has decreasing returns to scale.

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Answer:

two imaginary numbers

Step-by-step explanation:

Answer:

Similar-AA

Step-by-step explanation:

If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.

(p.s. This sign ~ means similar)

Answer:

Option C

Step-by-step explanation:

Assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded....

\(P = n! / ( n - r )!\\P = 8! / ( 8 - 3 )!\\P = 8! / 5!\\\\Algebra, P = 336 \\Solution = Option C\)

There are 336 different possible ways for the winners to be chosen.

Hope that helps!

Answer:

C

Step-by-step explanation:

The translation would be:

A(1,2) = > A(-1, -2)

B(5,1) = > B(3,-3)

C(5,4) = > (3, 0)

Number 3

the triangle R'S'T' is a translation of the vector <3,2>

Number 4

J(4,5) with the translation ( x + 6, y -3)

J(4 + 6, 5 - 3)

J(10, 2)

The answer would be J(10,2)

Answer:

3 1/12 as in the simplest form. And 37/12 as in improper fraction.

Step-by-step explanation:

(3/4) - 2 (1/-3)

= 3/4 + 2 1/3

= 9 / 12 + 2 4 / 12

= 2 13 / 12

= 2 + 1 1/12

= 3 1/12

There 6840 ways  can first, second, and third place be assigned.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

We will use the concept of permutation

\(^{20}P_3\)= 20!/ (20-3)!

     = 20*19*18*17!/ 17!

    = 6840 ways.

Hence, there are 6840 ways.

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Answer:B

Step-by-step explanation:

Answer:

The slope is 2/3 and the y intercept is -1

Step-by-step explanation:

you find the y-intercept (where the line passes through the y-axis) which is -1 and you go straight up 2 spots and then you go over 3 spots. Slope is rise over run. You could also use the slope formula y2-y1/x2-x1. I hope this made sense.

Answer:

B

Step-by-step explanation:

angle DCA and DCB seem to be supplementary angles (sum of 180°)

Answer:

3 times - 2,times 8-13

You solve the ones in the bracket first

(the rule of BODMAS)

So 8-13 first, then

-2times 8-13,then

Then you get your answer

Answer:

0

Step-by-step explanation:

\(\sin(12\º) - \cos(78\º)\)

Consider the cofunction identity:

\($\boxed{\sin(\theta)=\cos \left(\frac{\pi}{2} - \theta \right)} $\)

\($\boxed{\sin(\theta)=\cos \left(90\º - \theta \right)} $\)

\(\sin(12\º)=\cos(90\º - 12\º)=\cos(78\º)\)

\(\therefore \cos(78\º) - \cos(78\º) = 0\)

The value of Sin 12-cos 78 is 0

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: sin 12 - cos 78​ = Sin(90-12)-cos78 but we know sine of any angle = the cosine of any complementary angle

Thus we have Sin78-Cos78=0

Hence, The value of Sin 12-cos 78 is 0

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Answer:

It is -3 degrees Celsius per 1 hour

Step-by-step explanation:

Answer:

it would take 8 hours brainlieast please

Step-by-step explanation:

The volume of the waste generated by creating the die from the cube is 3.380728 cm^3.

To find the volume of the waste generated by creating the die from the cube, we need to first calculate the volume of the original cube.
The edge length of the original cube is given as 2.22 cm. Therefore, the volume of the original cube is:
Volume of cube = (edge length)^3
Volume of cube = (2.22 cm)^3
Volume of cube = 10.880728 cm^3
Next, we need to calculate the volume of the final die. We know that the corners of the cube are smoothed and indented pips are carved to create the die. This means that some material from the cube is removed during the process.
The volume of the final die is given as 7.5 cm^3. Therefore, the volume of the waste generated can be calculated as:
Volume of waste = Volume of original cube - Volume of final die
Volume of waste = 10.880728 cm^3 - 7.5 cm^3
Volume of waste = 3.380728 cm^3

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Answer:

500 inches

Step-by-step explanation:

r= d÷2

25÷2= 12.5

Area of circle = pi × r²

=3.14×(12.5)²

=490.625

~500 inches

Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

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