find the area if the shaded figure below

Answer:

Amplitude = 2

Step-by-step explanation:

The amplitude is the is the height from the center line (midline).

9514 1404 393

Answer:

Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

  1. x² + 4 x +2 = 0

The constant is subtracted from both sides to get the second line.

  2. x² +4x = -2

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

  3. x² +4x + 4 = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

  4. √(x +2)² = ±√ 2

Finally, 2 is subtracted from both sides to find the values of x.

  5. x = -2 ±√2

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The 98% confidence interval for B₁ is (38.037, 41.963), and the 95% confidence interval for B₁ is (38.586, 41.414).

To construct a confidence interval for B₁, we need the standard error of B₁, denoted SE(B₁). Using the information, B₁ = 40, s = 5.4, SSzz = 53, and n = 16, we can calculate SE(B₁) as SE(B₁) = s / sqrt(SSzz) = 5.4 / sqrt(53) ≈ 0.741.

For a 98% confidence interval, we use a t-distribution with (n - 2) degrees of freedom. With n = 16, the degrees of freedom is (16 - 2) = 14. Consulting the t-table, the critical value for a 98% confidence level with 14 degrees of freedom is approximately 2.650.

Using the formula for the confidence interval, the 98% confidence interval for B₁ is given by B₁ ± t * SE(B₁) = 40 ± 2.650 * 0.741 = (38.037, 41.963).

For a 95% confidence interval, we use the same SE(B₁) value but a different critical value. The critical value for a 95% confidence level with 14 degrees of freedom is approximately 2.145.

The 95% confidence interval for B₁ is given by B₁ ± t * SE(B₁) = 40 ± 2.145 * 0.741 = (38.586, 41.414).

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Answer: y-2=2(x+1)

Step-by-step explanation: You get the point slope formula and simply put in the information given

Answer:

Step-by-step explanation:

From the information provided, you know that the profit would be equal to the price per car for the number of cars washed minus the amount you spent on supplies, which would be:

P=6x-15, where:

P is the profit

x is the amount of cars washed

Also, you know that the profit is 93, so you can replace P in the formula and solve for x:

93=6x-15

93+15=6x

108=6x

x=18

According to this, the answer is that you and your friends washed 18 cars.

As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.

n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).

Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.

The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.

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Answer:

The coordinates of the points on the unit circle help us to find the tangent of each angle. As you can see with this equation, the tangent of an angle is equal to the y-coordinate divided by the x-coordinate. For each angle, start by dividing each y-coordinate by the x-coordinate to get the tangent of that angle.

i hoped this helped a little :D

Answer:

what?

Step-by-step explanation:

Answer:

3680

Step-by-step explanation:

Do 10x10x10 = 1,000 Then take a zero for every place so

100 36.8

10 368

3680.

Get it?

Answer:

the answer would be 3,680

Step-by-step explanation:

3.68*10= 36.8

36.8*10=368

368*10= 3680

Solving the equation 4x + 7 = 9 will give value of x = 1/2

To solve we will use the equation

4x + 7 = 9

By subtracting 7 from both side we get

4x + 7 -7 = 9 -7

4x = 2

By diving 4 from both sides we get

4x/4 = 2/4

x = 1/2

To check we put the value of x in the equation we get

4(1/2) + 7 = 9

2 + 7  = 9

9 = 9

Hence the value of x is satisfying the equation

Therefore, the value of x is 1/2

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(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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The geometric solid suggested by a typical American house is:

d. Prism

A typical American house often has a rectangular base and parallel, congruent faces.

This shape is best represented by a rectangular prism.

The geometric solid suggested by a typical American house is a prism, specifically a rectangular prism.

A prism is a three-dimensional solid that has two congruent and parallel bases that are connected by a set of parallelograms.

A rectangular prism has two rectangular bases and rectangular faces that are perpendicular to the bases.

Most American houses are rectangular in shape and have a flat roof, which suggests that they are in the form of a rectangular prism.

The walls of the house form the rectangular faces of the prism, and the roof forms the top face of the prism.

The rectangular shape of the house provides a practical and functional design that allows for efficient use of interior space.

It is also an aesthetically pleasing design that has become a standard for American homes.

d. Prism.

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13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Let's say we have the equation x = y + z. To solve for y, we can rearrange the equation as follows: x = y + z. x - z = y. It takes one step to solve for y by subtracting z from both sides of the equation.

To solve for z, we can rearrange the equation as follows: x = y + z.  x - y = z.  Again, it takes one step to solve for z by subtracting y from both sides of the equation. Therefore, it takes one step to solve for both y and z in this scenario.

In general, the number of steps required to solve for a variable depends on the complexity of the equation and the operations involved. In this case, it is relatively simple as we only need to perform a single subtraction operation to isolate each variable.

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The change in percentage of y when x increases by 5% will be 25%

Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value.

Given that, y is directly proportional to the square of x. we need to find the percentage increase when x is increased by 5%

Since, Y varies directly as the square of x.

Therefore, the general equation to show the direct variation :-

Y = kx²

Let the value of x be 25

25 will be x as 100%. therefore when x is 100%  the value of y will be

Y = 25²k

= 625k

Increasing the value of x by 5%,  

(105x25)/100 = 26.25

Therefore, 105% of 25 = 26.25.

Applying the variation equation, we obtain

Y = (26.25)²k

= 689.0625k

We will find the percentage change in y caused by an increase of x by 5%

(689.0625x100)/625 = 110.25%

Therefore, to find the percentage change in y when x increases by 5% will be,

(110.25-100)% =10.25%

Hence, the change in percentage of y when x increases by 5% will be 25%

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we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The probability that a student will take no more than 40 minutes to complete tee examination is 0.00.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.

We have to find the probability that a student will take no more than 40 minutes to complete the examination.

As the time required to complete the statistics examination is uniformly distributed and varies between 40 and 60 minutes so no any student will take less than 40 minutes to complete the examination.

P(X ≤ 40) = 0   where 40 ≤ x ≤ 60

Hence, the probability that a student will take no more than 40 minutes to complete tee examination is 0.00.

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Answer:

The answer is s = 1.

Step-by-step explanation:

Opposite sides of a parallelogram are equal so,

3s + 19 = s + 21

3s - s = 21 - 19

2s = 2

s = 1

next,

s + 21 =? 3s + 19

1 + 21 equal to (?) 3(1) + 19

22 = 22

so the answer is correct

Answer:

is the answer you add 19 + 21 give you 40

40

Beginning and intermediate algebra encompass the foundational aspects of mathematics, introducing students to the language and symbolism used in mathematical expressions and equations.

Beginning and intermediate algebra courses serve as stepping stones in a student's mathematical education, providing them with essential skills and knowledge in algebraic concepts.

These courses emphasize the language and symbolism of mathematics, teaching students to translate real-world problems into mathematical expressions and equations.

In these courses, students learn to work with variables, which represent unknown quantities, and manipulate algebraic expressions using operations such as addition, subtraction, multiplication, and division. They learn how to solve equations and inequalities, simplifying expressions and finding solutions that satisfy given conditions.

Furthermore, beginning and intermediate algebra introduce students to important mathematical concepts like functions, graphing, exponents, and factoring.

These topics help develop critical thinking and problem-solving skills, laying the foundation for more advanced mathematical disciplines. By learning the language and symbolism of mathematics in beginning and intermediate algebra.

Students gain a solid understanding of mathematical concepts and acquire the necessary skills to tackle more complex mathematical problems in higher-level courses and real-world applications.

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Answer:

4.5kg :7kg

Step-by-step explanation:

2 kg 250g convert in kg is 2.25kg

and 3kg 500g convert in kg is 3.5kg

2.25/3.5

solve the divide

P-value of a hypothesis test is an important measure of the strength of evidence against the null hypothesis and helps us make informed decisions about rejecting or failing to reject the null hypothesis.

A hypothesis test is a statistical method used to test the validity of an assumption or a hypothesis about a population based on a sample data.

The correct answer is b. The P-value of a hypothesis test is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true.

In hypothesis testing, we start with a null hypothesis, which is usually denoted as H_0, that represents the status quo or the default assumption. The alternative hypothesis, denoted as H_a, represents the opposite of the null hypothesis.

The P-value is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true. A low P-value indicates that the sample data provides strong evidence against the null hypothesis, and we reject the null hypothesis.

A high P-value indicates that the sample data does not provide strong evidence against the null hypothesis, and we fail to reject the null hypothesis.

In mathematical terms, the P-value is calculated as the probability of observing a test statistic Z that is more extreme than the one actually obtained, assuming the null hypothesis is true.

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Answer: 1

Yessssssssssssssss

Three ounces is equal to 85.064 grams.

To determine what three ounces looks like, it would be helpful to compare this weight to the weight of common objects. A cupped hand would typically hold three to four ounces of liquid, so three ounces would fit in a cupped hand. A deck of cards typically weighs around two ounces, so three ounces would be slightly more than a deck of cards. A baseball weighs approximately five ounces, so three ounces would be less than half of a baseball. A tennis ball weighs around two ounces, so three ounces would be slightly more than a tennis ball. A fist is typically filled with one to two ounces, so three ounces would be significantly more than a fist.

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Check the picture below.

Dr. Dilorenzo is performing meta-analysis to combine the results of a number of studies investigating the relationship between day care quality and developmental outcomes among children aged 2 to 4.

Meta-analysis is a statistical method used to combine the results of multiple studies. The aim of a meta-analysis is to provide a more robust and reliable estimate of the relationship between two variables by combining the results of several studies.

In this case, Dr. Dilorenzo is conducting a meta-analysis to investigate the relationship between day care quality and developmental outcomes among children aged 2 to 4. The process of a meta-analysis typically involves the following steps:

Identifying relevant studies is the first step  to identify all the studies that have investigated the relationship between day care quality and developmental outcomes among children aged 2 to 4.

Selecting studies is the next step, Dr. Dilorenzo will select the studies that are most relevant and appropriate for the meta-analysis based on inclusion and exclusion criteria.

Extracting data is the next step, Dr. Dilorenzo will then extract the relevant data from each selected study, such as the sample size, the measure of effect size, and the level of significance.

Combining data is the next step, Dr. Dilorenzo will then combine the data from all the selected studies using a statistical technique called pooling. This technique calculates a weighted average of the effect sizes across all studies to provide a summary estimate of the relationship between day care quality and developmental outcomes.

Evaluating the quality of the studies is the next step, Dr. Dilorenzo will also evaluate the quality of the studies included in the meta-analysis, taking into account factors such as study design, sample size, and level of significance.

Finally, Dr. Dilorenzo will interpret the results of the meta-analysis to determine the overall relationship between day care quality and developmental outcomes among children aged 2 to 4.

The results of a meta-analysis can provide valuable information for policy makers, researchers, and practitioners by summarizing the current state of research on a particular topic.

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Answer:

the zeroes are -2 and 8

Step-by-step explanation:

\(-x^2 +6x+16\\\implies -(x^2-6x-16)\\\implies -(x+2)(x-8)\)

Therefore, the zeroes are -2 and 8

In this scenario, each man shakes hands with all the other men (excluding himself) and with all the women (excluding his spouse). Therefore, each man shakes hands with \($25$\) people in total.

Since there are \($13$\) married couples, there are \($13$\) men and \($13$\) women. Hence, the total number of handshakes involving men is \($13 \times 25 = 325$\).

As for the women, they do not shake hands with each other, so we only need to consider the handshakes involving men. Therefore, the total number of handshakes among these \($26$\) people is \($325$\).

If you would like to represent this solution using LaTeX code, you can use the following snippet:

\(\text{Number of handshakes involving men} \\\\= \text{Number of men} \times \text{Number of handshakes per man} \\\\= 13 \times 25 = 325\)

Therefore, the total number of handshakes among the \($26$\) people is \($325$\).

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