Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

he will score 10 goals in 5 games

The given statement to this question is true

What is an optimal solution?

An acceptable solution where the objective function reaches its highest (or minimum) value, such as the most profit or the lowest cost, is referred to as an optimal solution. When there are no other practical solutions with superior objective function values, the solution is said to be globally optimal.

Here, we have

The global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution to a nonlinear programming problem.

Because when own linear model is solved this solution is merely local optimum.

The solver should consider that other local optimum Amy does not exist with better object values. The globally optimal solution is one where there are no feasible solutions with a better objective function.

However many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions. The local optimum point is the true optimal solution for the nonlinear programming model.

Hence, the given statement to this question is true.

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The fact that the sum of angles A and B are supplementary to angle C is not needed to prove triangles are similar.

Triangle - what is it?

A polygon with three edges and three vertices is called a triangle. A triangle's total number of angles equals 180 degrees. In mathematics -

∠x + ∠y + ∠z = 180°

A triangle's two sides added together are greater than its third side. In mathematics -

a + b > c

There are numerous varieties of triangles, including:

Equilateral, scalene, isosceles, and other triangles are used.

Two overlapping triangles are shown.

Angle C is supplementary to the sum of angles A and B, which can be expressed as follows:

∠C = 180 - (∠A + ∠B)

Therefore, it is not necessary to demonstrate that triangles are comparable in order to show that the sum of angles A and B is added to angle C.

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The answer is true. The curve of t-distribution has thicker tails than the curve of the standard normal distribution.

The t-distribution is also called as Student's t-distribution which is a type of probability distribution with a bell shape which is similar to  normal distribution but has thicker tails. It is used to estimate population parameters when sample sizes are small or variances are unknown. T-distributions have a higher probability of extreme values more than normal distributions which results in thicker tails.

Tail thickness is determined by a t-distribution parameter called degrees of freedom, with lower values resulting in heavier tails and higher values resulting in the t-distribution resembles standard normal distribution with a  standard deviation of 1and mean of 0.

Thus, t-distribution has thicker tails than the normal distribution.

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The dimensions of the rectangular field is 15 meters long and 14 meters wide.

A rectangle is a two-dimensional figure that has 2 pair of parallel sides that are of the same length. The corners made by these sides are right triangles.

Let x = length of the rectangular field

y = width of the rectangular field

If the area of the land is 210 square meters, then the product of its length and width is equal to 210 square meters.

A = l x w

210 = xy

x = 210/y

Serenity has 58 m of fencing for the perimeter of the rectangular field.. Hence,

P = 2l + 2w

58 = 2x + 2y

Substitute the expression of x and solve for y.

58 = 2x + 2y

58 = 2(210/y) + 2y

58 = 420/y + 2y

Multiply both sides by y and divide by 2.

29y = 210 + y²

y² - 29y + 210 = 0

(y - 14)(y - 15) = 0

y = 14 ; y = 15

Hence, y = 14.

Substitute the value of y and solve for x.

x = 210/y

x = 210/14

x = 15

Hence, the length and width of the field is 15 meters and 14 meters, respectively.

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Answer:

1320 feet

Step-by-step explanation:

Answer:

Each pen is 2.20

Step-by-step explanation:

We first need to find the total cost of the pens

20.50 - 2.90 = 17.60

Now we can divide by the number of pens purchased.

17.60 / 8

2.20

Each pen is 2.20

Answer:

$ 2.20

Step-by-step explanation:

First, let us find the total cost of pens.

$ 20.50 - $ 2.90 = $ 17.6

And now let us find the cost per pen.

For that, let the cost of a pen be x.

Number of pens Cost

8 $ 17.6

1 x

Use cross multiplication and find the value of x.

8x = 1 × 17.6

8x = 17.6

Divide both sides by 8.

x = $ 2.2

Therefore,

Cost of a pen is $ 2.20

The value of x is 15.

What is an angle?

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles.

Given that ∠ADB and ∠BDC are supplementary angle.

∠ADB = (2x - 15)° and ∠BDC = 11x°.

Two angles are supplementary angle, if their sum is equal to 180°.

Therefore,

∠ADB + ∠BDC = 180°

Putting the value of ∠ADB and ∠BDC:

(2x - 15)° + 11x° = 180°

2x - 15 + 11x = 180

Combine like terms:

(2x + 11x) -15 =180

13x - 15 =180

Add 15 with both sides:

13x = 180 +15

13x = 195

Divide both sides by 13:

x = 15

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The equation x² + y² = a² in form of a differential form is; dy/dx = -x/y

A differential equation is defined as one that contains the derivative of a function. For example, f(x) + 3 = 4f'(x) - 2.

We are given the equation;

x² + y² = a²

Thus, differentiating to be in differential form is;

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

-2x(dx) = 2y(dy)

dy/dx = -x/y

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Answer:

5(20-n)

Step-by-step explanation:

you "take out" a five from both number by dividing

100/5= 20

5n/5=n

Answer:

-5(n+20)

Step-by-step explanation:

100-5n

-5+100

-5n+100

-5(n+20)

end

(this might be it not sure 100%)

The average speed of a bus that travels 150 km in 3 hours is 50 kilometres per hour.

The average speed is directly proportional to the total distance covered and inversely proportional to the total time taken. Using the mentioned information to write the formula of average speed -

Average speed = total distance covered ÷ total time taken

Keep the values in formula to find the average speed of the bus

Average speed of the bus = 150/3

Performing division on Right Hand Side of the equation to find the average speed of the bus

Average speed of the bus = 50 kilometres per hour

Hence, the average speed is 50 kilometres per hour.

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A. The relative frequency of the people that had mechanical issues is 30%.

B. The relative frequency of the people that did not have mechanical issues is 70%.

C. The relative frequencies in (a) and (b) suggest that the new car has been relatively unreliable, as 30% of buyers experienced mechanical issues within the first two years. This suggests that the car has not been built to a high standard of quality, and that buyers should be prepared for potential issues with the car.

Answer: for the graphs if it crosses the same line twice if you draw a line down the top to bottom it is not a function and if the x repeats for the table and equals something different it is not a function

Step-by-step explanation

for tables (5,8) (6,9) (5,2) (1,5) this would not be a function because 5 equals two different things

Answer: 3 divided by 3 is 1

There are total 1680 ways to arrange 4 magazines in a row of 8 choices

What is Permutation?

The term permutation refers to a mathematical computation of the number of possible arrangements of a given collection. Simply said, a permutation is a term that defines the amount of different ways something may be organised or arranged. The order of the arrangement is important in permutations.

Solution:

Since, order of the arrangement matter too

we will use Permutation

Total Ways of Arrangement = 8P4

Total Ways of Arrangement = 8!/4!

Total Ways of Arrangement = 8*7*6*5*4!/4!

Total Ways of Arrangement = 1680 ways

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Assuming simple interest rate, to reach the account value of 28500 dollars, it needs 27.2 years.

Assuming simple interest rate, the formula for the future value is:

FV = PV (1 + r x n)

Where:

PV = present value

r = interest rate per period

n = number of periods

Parameters given in the problem,

r = 8.5% = 0.085

PV = 8600

FV = 28500

Plug these parameters into the formula:

28500 = 8600 (1 + 0.085 x n)

1 + 0.085 x n = 3.313

0.085 x n = 2.313

n = 27.2

Hence, it needs 27.2 years to reach 28500 dollars.

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Answer:  The correct answer is 85.7 ounces in each bowl

Step-by-step explanation:

T = Total ounces of pretzels

B = Number of bowls

A = Amount of pretzels in each bowl

Our equation:  A = T / B

T = 428.5

B = 5

A = 428.5 / 5

A = 85.7 ounces

A: he percent of respondents who do not like hamburgers and burritos both = 16.09 %

B: Marginal relative frequency of all customers that like hamburgers= 0.65

C: Those who like Hamburgers but not burritos.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

                         Like Hamburgers ↓  Does Not Like Hamburgers↓    Total↓

Likes burritos →                 39                           38                                   77

Does not like burritos →    95                           33                                 128

Total →                                134                           71                                 205

So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 77-38= 39 like Hamburgers.

A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining  128 - 95 = 33 do not like Hamburgers.

A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.  

Hence, percentage = (033/205) *100 = 16.09 %

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio  134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

For this, we need to find the ratio of all the four data with the total.

Those who like Hamburgers and burritos = 39/134 = 0.29

Those who like Hamburgers but not burritos = 95/134 = 0.71

Those who like burritos but not Hamburgers = 38/71 = 0.53

Those who do not like burritos or Hamburgers = 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.

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Answer:

Step-by-step explanation:

The 4.024 hours spent students on homework per week.

What is a linear relationship?

A linear relation, or simply relation, between the components of a vector space or a module, is a linear equation for which the components are the solutions in linear algebra.

we have,

a linear relationship between the number of time students spends on their homework and their weekly quiz scores:

y=56+8.2x,

where y represents the expected quiz score

and x represents hours spent on homework that week.

if y = 89, then x = ?

so, put the value of y in the equation:

y = 56+8.2x,

(89) = 56 + 8.2x,

89 - 56 = 8.2x,

33 = 8.2x,

x = 33/8.2

x = 4.024

Hence, the 4.024 hours spent by students on homework per week.

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Answer: the number of hours a student should spend on their homework to expect a score of 89 on the quiz

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

2 · (-10) -5 < -7

-20 - 5 < -7

-25 < -7

ok

-10 -5 ≥ -6

-15 ≥ -6

false

Answer:

not a solution

Step-by-step explanation:

to determine if (- 10, 5 ) is a solution to the system of inequalities.

substitute the coordinates of the point into the left side of both inequalities and compare the result to the right side.

Both inequalities must be true for the point to be a solution.

2x - y = 2(- 10) - 5 = - 20 - 5 = - 25 < - 7 ← true

x - y = - 10 - 5 = - 15 < - 6 ← false

since both inequalities are not true then (- 10, 5 ) is not a solution

The formula distance = rate x time also indicates a linear relationship.

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

We have to determine the calculations for a linear relationship;

Here,

Distance = rate x time is another equation that results in a linear relationship. This linear relationship would be represented in the top right quadrant of a graph with an X and Y axis because distance is often a positive quantity.

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Use / for the fraction bar if necessary. if p − 1 is a factor of p^4 + p^2 + p - k , the value of k is 1 + p^2 + p^4.

A fraction bar is a graphic representation of fractions that is useful for fraction comparison and fraction operations. Part-to-whole representational models like fraction bars or fraction strips are used. One unit out of a whole is represented by each segment of a fraction bar.

To comprehend the value of a fraction, utilize fraction bars. They can also be utilized for comparing fractions and, subsequently, adding and removing fractions. The ability to visualize a fraction bar for just any fraction is crucial.

p - 1 = p^4 + p^2 + p - k

k = 1 + p^2 + p^4

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If we have a 90 in class but get a zero that is worth 15 points, 0 will be that grade.

I know it takes 3 '15' to get 'C' from 0. Knowing this, getting zero is not recommended.

Here is the information we need to know to answer the question correctly.

For example:

3 allocations of 100 each .

3 x 15 = 45

45 / 3 = 15%

But now 0:

The same 3 allocations of 15 each AND these 0...

3 x 15 = 45

45 / 4 = 11.25%  which is a 25 point drop at zero.

Let's say we have 10 allocations of 15 each...

10 x 15 = 150

150 / 10 = 15%

But we have 15 allocations of the same Questions each, which is 0.

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Answer:

2.5 US gallons

To find the range of numbers we subtract the largest number by the lowest numbers.

In the given question,

We have to explain, the range of a numbers.

The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).

The difference between both the highest and lowest numbers in a collection or set is known as the range.

To find the range of numbers we subtract the largest number by the lowest numbers.

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The value of the number is N = -55/18

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as N

The value of N is given by

The product of -1.8 and 3 more than a number as the same as 1 / 10

So , substituting the values in the equation , we get

product of -1.8 and 3 more than a number

And , -1.8 x ( N + 3 ) is equal to 1/10

So , the equation will be

-1.8 x ( N + 3 ) = 1/10

Divide both sides of the equation by -1.8 , we get

N + 3 = -1/18

Subtracting 3 on both sides of the equation , we get

N = -1/18 - 3

On simplifying the equation , we get

N = ( -54 - 1 ) / 18

N = -55/18

Therefore , the number is -55/18

Hence , The value of the number is N = -55/18

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After 400 miles is the total charge for each vehicle the​ same ie $340

What is equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.

x= number of miles

car cost is  240+0.25x

van cost is 180+0.40x

When the equations are equal

240 + 0.25x = 180 +0.40x

60 = 0.15x

15x = 6000

x=400

400 miles.  

They will each cost $340

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