A certain map shows two roads. Road A is 1 1 2 miles long but is 1 7 8 inches long on the map. What is the unit rate for inches per mile on this map​? If road B is 8 miles ​long, how long is road B on the map​?

If 150 is the 15%, to find which number is the 100% we use the rule of 3

and the rule say that:

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

i do no

Step-by-step explanation:

(c) Two assumptions necessary for the validity of the ANOVA are:

1. Independence: The observations within each group and between groups should be independent of each other. This means that the value of one observation should not be influenced by or related to the value of another observation.

2. Homogeneity of variances: The variances within each group should be roughly equal. This assumption, also known as homoscedasticity, ensures that the variability in the dependent variable is similar across all groups.

(d) The company uses leaflets of four different designs to promote its printers. To assess the impact of leaflet design on sales, an ANOVA is performed. The null hypothesis states that the mean sales are equal across all leaflet designs, while the alternative hypothesis suggests at least one mean is different.

By comparing the computed F-statistic with the critical F-value at a significance level of 0.05, the ANOVA determines whether there is sufficient evidence to reject the null hypothesis. If the p-value is less than 0.05, it indicates a significant difference among the leaflet designs.

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The multifactor productivity measure for each of the weeks shown for the production of chocolate bars assuming a 40-hour week and an hourly wage of $16 and overhead costs 1.5 times labor cost is 0.127.

Multifactor productivity is an economic metric that calculates the ratio of an organization's total outputs to its total inputs used for production over a given period. It determines how efficiently the organization uses its resources in the production process, and it is calculated using the formula :

MFP = Total output / ( Labor cost + Material cost + Overhead cost)Where MFP stands for multifactor productivity. Overhead costs, labor costs, and material costs are the inputs used for production.

The data provided is shown in the table below:| Week | Output | Labor | Materials | Overhead | |------|--------|-------|-----------|----------| | 1 | 3000 | 100 | 6000 | 150 | | 2 | 4500 | 150 | 9000 | 225 | | 3 | 6000 | 200 | 12000 | 300 |For each week, we must first calculate the labor, material, and overhead costs.

Labor cost per week = number of hours worked x hourly wage

Labor cost per week = 40 x $16 = $640

Material cost per week is given.

Overhead cost per week = 1.5 x labor cost

Overhead cost per week = 1.5 x $640 = $960

Now that we have all of the necessary input data, we can use the MFP formula to calculate multifactor productivity for each week.MFP for Week 1 = 3000 / (100 x $16 + $6000 + $150 + $960)MFP for Week 1 = 0.127MFP for Week 2 = 4500 / (150 x $16 + $9000 + $225 + $960)MFP for Week 2 = 0.127MFP for Week 3 = 6000 / (200 x $16 + $12000 + $300 + $960)MFP for Week 3 = 0.127

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Answer:

9x -2

Step-by-step explanation:

6x + 4 - 3x - 2

6x + 3x +4 - 2

9x -2

Answer:

Step-by-step explanation:

(6x + 4) - (3x - 2) simplify

(6x + 4) - (3x - 2)=

6x + 4 - 3x + 2

3x + 6

Answer:

p = 12

Step-by-step explanation:

p ÷ 3 = 4

p = 12

Answer:

Step-by-step explanation:

There are a lot of ifs in this problem. The generator has to be a fair one. Any one of the 11 numbers must be equally likely to happen. Second, the sequence must not be the same each time she turns it on. Assuming both are true, then the numbers she will get are

9 10 11  for one number

9 10 11 for the other number

P(x>8) = 3/11 * 3/11 = 9/121

192 cm²

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

Answer:

8w/9

Hope that help <3

The equation of the plane through the origin and the points (2, –4, 6) and (5, 1, 3) is - 9x + 12y + 11 x = 0.

The general equation of a plane through (0, 0, 0) is a(x - 0) + b(y - 0) + c(z - 0) = 0

Since the plane passes though the origin, the equation of the plane is given by ( x, y, z ) = 0. Simplify it so that you write the equation of the plane in the form a x + b y + c z = 0

ax + by + cx = 0...(1)

It will pass through B(2, -4, 6) and C(5, 1, 3) if

a(2) + b(-4) + c(6) = 0

2a - 4b + 6c = 0

a - 2b + 3c = 0 ...(2)

a(5) + b(1) + c(3) = 0

5a + b + 3c = 0 ... (3)

Solving (2) and (3) by cross-multiplication, we have

\(& \frac{a}{-6-3}=\frac{b}{15-3}=\frac{c}{1+10} \\\)

\(& \Rightarrow \frac{a}{-9}=\frac{b}{12}=\frac{c}{11}=\lambda\) (say) }

\(& \Rightarrow\) a = - 9 \(\lambda\), b = 12 \(\lambda\)  and c = 11 \(\lambda\)

Substituting the values of a, b and c in (1), we get

- 9 \(\lambda\) x + 12 \(\lambda\) y + 11 \(\lambda\) x = 0

- 9x + 12y + 11 x = 0

which is the required equation of the plane.

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Answer:

0.60

Step-by-step explanation:

becouse of two probability within added gives the above answer

Answer:

I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000

Step-by-step explanation:

The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.

Answer:

6 x 7 is 42, so A m a y b e?

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-64/8 = -8................ .......

mark me brainliest plz if you are helped

Answer:

so you divide -64/8 like you would 64/8 and once you get your answer you just put a negative in front because a negative divided by a positive is a negative so your answer is -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<1 = 50

m<2 = 22

m<3 = 108

m<4 = 50

m<5 = 65

m<6 = 50

m<7 = 43

m<8 = 65

m<9 = 75

m<10 = 18

m<11 = 25

m<12 = 40

m<13 = 115

m<14 = 65

m15 = 115

Answer:

4x+7=3x+7

Step-by-step explanation:

4x+(7-7)=3x+(7-7)

4x=3x

Answer:

The similarity postulate theorem is;

Similar - AA

Step-by-step explanation:

We are told that angle p is congruent to angle s, angle q is congruent to angle t.

Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.

For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.

Answer: similar AA is correct

Step-by-step explanation:

Just took the test:)

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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Stokes' Theorem states that the line integral of a vector field F along a closed curve C is equal to the surface integral of the curl of F over the surface S bounded by C.

To evaluate the line integral C F.dr using Stokes' Theorem, we can first calculate the curl of the vector field F. Then, we find the surface that is bounded by the given curve C, which is a triangle in this case. Finally, we evaluate the surface integral of the curl of F over that surface to obtain the result.

Stokes' Theorem states that the line integral of a vector field F along a closed curve C is equal to the surface integral of the curl of F over the surface S bounded by C. In this problem, we are given the vector field F(x,y,z) = (x+y^2)i + (y+z^2)j + (z+x^2)k and the curve C, which is a triangle with vertices (1,0,0), (0,1,0), and (0,0,1).

To apply Stokes' Theorem, we first need to calculate the curl of F. The curl of F is given by the determinant of the curl operator applied to F: ∇ × F = ( ∂F₃/∂y - ∂F₂/∂z )i + ( ∂F₁/∂z - ∂F₃/∂x )j + ( ∂F₂/∂x - ∂F₁/∂y )k.

After finding the curl of F, we need to determine the surface S bounded by the curve C. In this case, the curve C is a triangle, so the surface S is the triangular region on the plane containing the triangle.

Finally, we evaluate the surface integral of the curl of F over S. This involves integrating the dot product of the curl of F and the outward-pointing normal vector to the surface S over the region of S.

By following these steps, we can use Stokes' Theorem to calculate the integral C F.dr for the given vector field F and curve C.

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The quotient is the outcome of the division one number or expression known as the dividend, by another number or expression known as the divisor

The option that gives the correct quotient is;

\(\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}\)

Where, the quotient is 2·x + 1, and the reminder is 2·x - 5

The reason the above option is correct is as follows:

The given dividend is 2·x³ + 3·x² + 5·x - 4

The divisor is x² + x + 1

By long division of a polynomial we have;

2·x + 1(Quotient)

(2·x³ + 3·x² + 5·x - 4) ÷ (x² + x + 1 )

2·x³ + 2·x² + 2·x

0    +   x²  + 3·x - 4

\({}\)           x² + x    + 1

\({}\)           0  + 2·x - 5

Therefore, we have;

\(\dfrac{2\cdot x^3 + 3 \cdot x^2 + 5 \cdot x - 4}{x^2 + x + 1} = 2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}\)

Therefore, the correct option is;

\(\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}\)

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Answer:

-5/36

Step-by-step explanation:

-1*5 = -5

6*6 = 36

-5/36

Answer:

Step-by-step explanation:

Given all the weights and the total capacity of the elevator, we have the following expression:

where 'x' denotes the weight of the third case.

Solving for x, we get the following:

therefore, the third case must weigh 60.3 kg or less.

Answer:

10

Step-by-step explanation:

First, multiply everything in the parentheses.

Next, subtract 21x from both sides to get all the variables on one side.

Next, add 16 to both sides to get all the real numbers on one side

Finally, divide both sides by 30 so we can get the variable by it's self

Calculate the distance d(p, q) between p and q.3. If d(p, q) is less than the minimum distance, update the minimum distance variable.4. When all pairs of points have been checked, return the pair of points with the minimum distance.

The brute force approach for the closest pair algorithm is a basic operation that finds the two closest points among the given set of points. This algorithm is simple but requires more time than other approaches. The algorithm's running time is O(n²) for n points and is not appropriate for large datasets because the time complexity would be extremely high. It works by comparing each pair of points and calculating the distance between them. The pair of points with the minimum distance is then returned as the closest pair.Here is how the algorithm works: 1. Define a distance function d(p, q) for points p and q.2. Set a minimum distance variable to an arbitrarily large number.3. For each point p in the set of points: 1. For each point q in the set of points: 1. If p and q are the same point, skip to the next q.2. Calculate the distance d(p, q) between p and q.3. If d(p, q) is less than the minimum distance, update the minimum distance variable.4. When all pairs of points have been checked, return the pair of points with the minimum distance.

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The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

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