A pentagon is made from a square and isosceles triangle

Answer:

D

Step-by-step explanation:

Hector took 1 hour and 25 mintues to finish the test. (D)!

Answer:

The other angle is also 45°

Step-by-step explanation:

They are corresponding angles.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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To find the rate at which the mass of the tree is changing after 27 years, we need to calculate the derivative of the mass function with respect to time.

The mass function is given by m(t) = 3.6tln(1.9t^2 + 1) + 5.

Let's differentiate m(t) with respect to t using the product rule and the chain rule:

m'(t) = 3.6 * (ln(1.9t^2 + 1) + t * 1/(1.9t^2 + 1) * (3.8t)).

Simplifying this expression, we have:

m'(t) = 3.6ln(1.9t^2 + 1) + 3.6t * 3.8t/(1.9t^2 + 1).

Now we can substitute t = 27 into the expression to find the rate of change of the mass after 27 years:

m'(27) = 3.6ln(1.9(27)^2 + 1) + 3.6(27) * 3.8(27)/(1.9(27)^2 + 1).

Evaluating this expression gives the rate of change of the mass after 27 years. Rounding the answer to two decimal places, the mass of the tree is changing by [insert numerical value] kilograms per year.

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The type of set that allows you to position rollers diagonally and set from multiple points of origin is an oblong set.

An oblong set is a type of parallel set consisting of two parallel rectangular bars or blocks, with rollers positioned diagonally between them. The oblong shape of the set allows for the rollers to be positioned at a diagonal angle, which can be useful when setting up workpieces that need to be adjusted at an angle or from multiple points of origin.

In contrast, a half oval set and a half circle set are both types of circular sets that consist of rollers positioned in a semi-circular shape. These types of sets are useful for supporting workpieces that have a curved or circular shape, but they do not provide the flexibility to position rollers at a diagonal angle or from multiple points of origin.

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Answer:

100

100

Step-by-step explanation:

1 person to 100 people

The scale factor is 100

The paper fits 1 muffin

now it will have to a muffin 100 times bigger

100 is the scale factor

the correct way to report the results of a hypothesis test and a measure of effect size using a t-statistic is option A: t(19)=2.30, r2=0.42, p<0.05.

The correct way to report the results of a hypothesis test and a measure of effect size using a t-statistic depends on the specific journal or style guide you are using. However, in general, the most common format is to report the t-value, degrees of freedom, and p-value first, followed by the measure of effect size.

So, looking at the options provided, we can eliminate option D because it only reports the t-value, degrees of freedom, p-value, and effect size all at once without separating them. Now, we are left with options A and B. Both options report the t-value, degrees of freedom, and p-value first, followed by the effect size. However, there is a difference in the order of the p-value and effect size. Option A reports the effect size as r2=0.42 after the p-value, while option B reports the effect size as r2=0.42 before the p-value.

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The final thickness of the sheet is  = 0.0669 cm

brasses are copper zinc alloys. In general, they have good strength and corrosion resistance, although their structure and properties are a function of zinc content , Alloys containing up to approximately 35% zinc are single phase alloys, consisting of a solid solution of zinc and alpha copper

% cold reduction = (initial thickness - final thickness )  × 100

                                                  initial thickness

        0.30%       =            (0.0955cm - final thickness ) ×  100            

                                                     0.0955cm

             final thickness    =     0.0669cm

Brass in an alloy of copper and zinc, bonze is an alloy containing 80% of cropper. A fuses mass of brass and bronze is found to contain 74% . Brass, alloy of copper and zinc, of historical and enduring importance because of its hardness and workability

Hence the final thickness of sheet is 0.0669 cm

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Answer:

Step-by-step explanation:

Use the fact that slope is the change in the y values divided by the change in the x values.

So, the y values change by 7 (4- -3) and the x values change by 2 (3 -1). The slope is then 7/2

The cost of a theater ticket is an example of A. quantitative data in statistics.

Quantitative data is data with numerical value.

Quantitative data shows a certain quantity, amount, or range of values.

Nominal data classifies qualitative data according to certain categories.  It is not quantitative.

Categorical data deals with grouped data, using names and labels.

Thus, since the cost of a theater ticket is numerical, it is quantitative data instead of nominal or categorical.

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To evaluate the line integral ∫ γ y^2 dz + x^2 dy along the given paths, we need to parameterize each path and compute the corresponding integrals.

(a) Path along the arc of the parabola y = x^2:

We can parameterize this path as γ(t) = (t, t^2) for t in the interval [0, 2].

The line integral becomes:

∫ γ y^2 dz + x^2 dy = ∫[0,2] t^4 dz + t^2 x^2 dy

To express dz and dy in terms of dt, we differentiate the parameterization:

dz = dt

dy = 2t dt

Substituting these expressions, the line integral becomes:

∫[0,2] t^4 dt + t^2 x^2 (2t dt)

= ∫[0,2] t^4 + 2t^3 x^2 dt

= ∫[0,2] t^4 + 2t^5 dt

Integrating term by term, we have:

= [t^5/5 + t^6/3] evaluated from 0 to 2

= [(2^5)/5 + (2^6)/3] - [0^5/5 + 0^6/3]

= [32/5 + 64/3]

= 192/15

= 12.8

Therefore, the line integral along the arc of the parabola y = x^2 is 12.8.

(b) Path along the horizontal interval followed by the vertical interval:

We can divide this path into two segments: γ1 from (0, 0) to (2, 0) and γ2 from (2, 0) to (2, 4).

For γ1, we have a horizontal line segment, and for γ2, we have a vertical line segment.

For γ1:

Parameterization: γ1(t) = (t, 0) for t in the interval [0, 2]

dz = 0 (since it is a horizontal segment)

dy = 0 (since y = 0)

The line integral along γ1 becomes:

∫ γ1 y^2 dz + x^2 dy = ∫[0,2] 0 dz + t^2 x^2 dy = 0

For γ2:

Parameterization: γ2(t) = (2, t) for t in the interval [0, 4]

dz = dt

dy = dt

The line integral along γ2 becomes:

∫ γ2 y^2 dz + x^2 dy = ∫[0,4] t^2 dz + 4^2 dy

= ∫[0,4] t^2 dt + 16 dt

= [t^3/3 + 16t] evaluated from 0 to 4

= [4^3/3 + 16(4)] - [0^3/3 + 16(0)]

= [64/3 + 64]

= 256/3

≈ 85.33

Therefore, the line integral along the horizontal and vertical intervals is approximately 85.33.

(c) Path along the vertical interval followed by the horizontal interval:

We can divide this path into two segments: γ3 from (0, 0) to (0, 4) and γ4 from (0, 4) to (2, 4).

For γ3:

Parameterization: γ3(t) = (0, t) for t in the interval [0, 4]

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The percentage yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100%.

The percentage yield is calculated by dividing the actual yield by the theoretical yield and then multiplying by 100%. The formula for percentage yield is given as Percentage yield = (actual yield / theoretical yield) * 100%.

The percentage yield is a measure of the efficiency of a chemical reaction or process. It indicates the proportion of the expected or desired product that is actually obtained compared to the maximum possible yield.

By calculating the percentage yield, we can assess the success of a reaction and identify any factors that may have led to a lower than expected yield.

To calculate the percentage yield, we need to know the actual yield, which is the amount of product obtained from the reaction, and the theoretical yield, which is the maximum amount of product that could be obtained based on stoichiometry and other factors.

Dividing the actual yield by the theoretical yield and multiplying by 100% gives us the percentage yield, which is expressed as a percentage.

The percentage yield provides valuable information for evaluating the effectiveness of a reaction and can be used for process optimization and quality control purposes.

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Answer:

Step-by-step explanation:

Move all terms to the left side.

3x−x+2−12=0

Reduce like terms.

2x−10=0

Factor.

2(x−5)=0

Determine the roots from the equation. In this case, x=5 is the only solution to the equation.

Answer:

x = 5

Step-by-step explanation:

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Using Lagrange multipliers, the largest possible volume of a rectangular box can be found with a given diagonal length l.

Let's denote the dimensions of the rectangular box as length (L), width (W), and height (H). The volume (V) of the box is given by V = LWH. The constraint equation is the Pythagorean theorem: L² + W² + H² = l², where l is the given diagonal length.

To find the largest possible volume, we can set up the following optimization problem: maximize the volume function V = LWH subject to the constraint equation L² + W² + H² = l².

Using Lagrange multipliers, we introduce a new variable λ (lambda) and set up the Lagrangian function:

L = V + λ(L² + W² + H² - l²).

Next, we take partial derivatives of L with respect to L, W, H, and λ, and set them equal to zero to find critical points. Solving these equations simultaneously, we obtain the values of L, W, H, and λ.

By analyzing these critical points, we can determine whether they correspond to a maximum or minimum volume. The critical point that maximizes the volume will give us the largest possible volume of the rectangular box with a diagonal length l.

By utilizing Lagrange multipliers, we can optimize the volume function while satisfying the constraint equation, enabling us to determine the dimensions of the rectangular box that yield the maximum volume for a given diagonal length.

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Answer:

The simplified fraction is

\( \frac{2}{9} \)

Step-by-step explanation:

Finding the HCF can help a great deal, so in this case the HCF between 16 and 72 is 8.

16/8 = 2

72/8= 9

Therefore the answer is

\( \frac{2}{9} \)

Answer:

The Maya were among the first people to use cacao seeds to make chocolate

Explanation:

The maya were one of the first people to use cacao to make chocolate. They would roast and crush the beans into paste. The often combined the paste with water.

When the Maya discovered that they could use cacao by crushing the pods, adding water and chili peppers they were so amazed by the taste that they called it the drink of the gods. Even today traditional hot chocolate in those areas is made with chili peppers and this way is regarded as one of the best ways of preparing the drink.

A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.

The line plot, as we know, marks the dots across the number line, indicating frequency.

Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.

Thus, the option to choose is true.

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17  is the value of discriminant for quadratic equation.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                               The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

General form of a quadratic equation is

ax² + bx + c = 0

The Discriminant of the quadratic equation is denoted by D and defined as

D = b² - 4ac

The given Quadratic equation is

√2x² - 5x + √2 = 0

Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get

a = √2 , b = - 5 , c = √2

Value of Discriminant

      = b² - 4ac

      = (-5)² - 4 * √2 * √2

       = 25 - 8

       = 17      

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We can use the general form of a quadratic model:

We can find the parameters a, b and c by taking some pair of values from the table, like this:

Let's take the pair (0,0), if we replace these values for y and x into the above model we get:

Now let's take the pair (1, 2.4), by replacing these values into the above model for x and y, we get:

From this equation, we can solve for a to get:

By taking the pair (2, 9.4) we get:

We can replace the expression that we got previously a = 2.4 - b into the above equation to get:

From this expression, we can solve for b like this:

Now we can replace it into the equation a = 2.4 - b, then we get:

a = 2.4 - 0.1 = 2.3

Then we get the expression:

Now we just have to evaluate 10 km into the equation, then we get:

Then, the best prediction of the time required for the oil spill to reach a diameter of 10 km is 233 days

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

The answer is B

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

Answer:

14 is the simplified answer, but the whole answer is 17 + -18/6

Step-by-step explanation:

Divide

−

18 by 6. h (−18) = 17 − 3 Subtract  3 from 17. h (−18)= 14

The final answer is 14.

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

5

Step-by-step explanation:

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Answer:

.......................

Step-by-step explanation:

.

Answer: D

Step-by-step explanation:

When two triangles are listed as congruent, their corresponding angles are congruent, so when you have triangle EFG and triangle STU are congruent, it the angles E and S are congruent, F and T are congruent, and G and U are congruent, so the answer would be D.

Step-by-step explanation:

\(\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\\)

\(\large{\rm{\underline{\underline{Answer:}}}}\)

Given to solve: -2z+3-z = -4z+2

⇛ -3z + 3 = -4z + 2

⇛ -3z + 4z = 2 - 3

⇛ z = -1

Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.

No this does not indicate that the population proportion of women athletes who graduate from the university is now less than 67%.

Given long term graduation rate of 67%, sample size of 36  and the women athletes graduated is 23.

We have to find whether  the given information shows  that the population proportion is less than 67%.

First we have to create hypothesis for this :

\(H_{0}\):P=0.67

\(H_{1}\):P<0.67

Under null hypothesis the test statistic is

z=p bar-p/\(\sqrt{p(1-p)/n}\)

where p bar=23/36

=0.638

z=(0.638-0.67)/\(\sqrt{0.67(1-0.67)/36\)

=-0.032/\(\sqrt{0.67*0.33/36}\)

=-0.032/\(\sqrt{0.0064}\)

=-0.032/0.078

=-0.41

Now we have to find the left tailed critical at 0.01 significance level using z table.

z=-2.33

Since the z value does not fall in the critical region,therefore we fail to reject the null hypothesis. So we can conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.

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Question is incomplete as it should specify the signficance level of 0.01 to be used.