please help me in maths this is composite so find the area and perimeter
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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer:

d

Step-by-step explanation:

We just need to use the formula:

c = 3.14(r)²

So we can insert the radius here

c = 3.14(7)²

c = 3.14(49)

c = 153.86

So your answer is d.

The sampling distribution model for figuring out how many people in this group might not pay on time is:

E. mean = 8%; standard deviation = 1.1%.

The steps to determine the mean and standard deviation of the sampling distribution of the proportion of clients who may not make timely payments would be:

Start with the idea that 8% of the loans will have payments that are late. So the percentage of people who pay late is p = 0.08.

Calculate the sample size, which is given as n = 600.

Determine the mean of the sampling distribution. The mean of the sampling distribution of the proportion of late payments is equal to the population proportion, which is 0.08.

Find the standard deviation of the distribution of the samples. The standard deviation is discovered by taking the square root of the commodity of the sample size and the percentage of late payments in the whole population (1 - percentage of late payments in the whole population) and dividing it by the sample size:

σ = √( (p * (1-p)) / n )

σ = √( (0.08 * 0.92) / 600 ) ≈ 0.011

So, the answer will be option E. mean = 8%; standard deviation = 1.1%.

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The surface area of the wood Cannot be determined.

However, even with the answer options given, it is not possible to determine the surface area of the wood without additional information. The surface area of a piece of wood depends on its dimensions and shape, and the answer options given do not provide any information about these factors.

For example, a rectangular piece of wood with dimensions 4 inches by 3 inches by 4 inches would have a surface area of 52 square inches, which is not among the answer options provided. On the other hand, a cube-shaped piece of wood with dimensions 3 inches by 3 inches by 3 inches would have a surface area of 54 square inches, which is also not among the answer options provided.

Therefore, the correct answer is still "Cannot be determined".

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The p-value associated with the test statistic calculated to test the claim that less than 40% of the county residents are protected by earthquake insurance is 0.42

The term p - value is defined as a statistical measurement used to validate a hypothesis against observed data.

Here we have given that a survey revealed that only 133 of 337 randomly selected residences in one California county were protected by earthquake insurance.

Then the Null hypothesis for the given situation is written as,

=> H0 = p => 0.40

And the Alternative hypothesis is written as

=> H1 = p <0 .40

Then the value of za is calculated as,

=> za = 133/137

=> za = 0.39

Now by  using a formula for a binomial proportion one-sample z-test with your data included, we have

=> z = 0.39 - 0.40

Then the test value is calculated as

=> (0.39 - 0.40)/√[(0.40)(0.60)/337]

Therefore, the value of P-value is 0.42.

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Answer:

SAS, because vertical angles are congruent.

JL = 70

Step-by-step explanation:

Since K is the midpoint of JL then JK = KL and

JL = JK + KL = 9x - 1 + 2x + 27 = 11x + 26

solve for x using JK = KL

9x - 1 = 2x + 27 ( subtract 2x from both sides )

7x - 1 = 27 ( add 1 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4, hence

JL = 11x + 26 = (11 × 4 ) + 26 = 44 + 26 = 70

Angle vqt is congruent to Angle squ by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the Corresponding angles theorem.

Option b is true.

Here,

Segment uv is parallel to segment wz,

Angles squ and vqt are vertical angles.

Angle vqt is congruent to Angle squ by the Vertical angles theorem.

What is corresponding angles?

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Now,

Angle vqt is congruent to Angle squ by the vertical angles theorem.

When, two angles are corresponding angle then, Angle vqt is congruent to Angle squ by the Vertical angles theorem.

And, they are congruent according to the Corresponding angles theorem.

Hence, Segment uv is parallel to Segment wz, while Angles squ and vqt are Vertical angles. Angle vqt is congruent to Angle squ by the vertical angles theorem. Because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angle theorem. finally, Angle vqt is congruent to Angle wrs by the transitive property of equality.

So, Option b is true.

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The length of the vector w = 2u - 3v is 4.899. Using the given formula, the length of the vector is to be determined as:

To determine the length of the vector w=2u-3v, the formula is used as

|w| = √(2u-3v)².

We are given u = (2 - 1 1) and v = (3 2 0).

On solving for the given vectors u and v, we obtain u = <2,-1,1> and v = <3,2,0>.

Thus, w = 2u - 3v is given by

w = 2<2,-1,1> - 3<3,2,0>

w = <4, -2, 2> - <9, 6, 0>

w = <4-9, -2-6, 2-0>

w = <-5,-8,2>

Therefore, |w| = √((-5)² + (-8)² + 2²) = √(25 + 64 + 4) = √93 = 4.899.

Hence, the length of the vector w = 4.899. Therefore, option (a) is the correct answer.

Thus, we can say that option (a) is the correct answer, and the length of the vector w=2u-3v is 4.899. Also, it is important to remember that the length of a vector w is denoted by |w|, and it is calculated by taking the square root of the sum of the squares of its components.

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Answer:

t = 8.155 years

Step-by-step explanation:

P = 1,000

A = 2,000

r = R/100

r = 8.5/100

r = 0.085 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(2,000.00/1,000.00) / 0.085

t = 8.155 years

Answer:

(C) 100

Step-by-step explanation:

The average of a data set is just all the numbers added up divided by the amount of numbers.

If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.

This means that the sum of all of the numbers in the data set will be \(91\cdot5=455\) if the mean is 91.

We can find the missing value by adding up what we know and subtracting from 455.

\(87+86+93+89=355\\\\455-355=100\)

So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.

Hope this helped!

A score which Abby needs to get on her fifth quiz to have an average of exactly 91 is equal to: C. 100.

An average is also referred to as mean and it can be defined as a ratio of the sum of the total number in a data set to the frequency of each data.

In this exercise, we would assign a variable (S) to the unknown score from the fifth quiz with an average of exactly 91. Thus, the average for the fifth quiz is given by this mathematical expression:

91 = (87 + 86 + 93 + 89 + S)/5

91 = (355 + S)/5

Cross-multiplying, we have:

455 = 355 + S

S = 455 - 355

S = 100.

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Answer:

linear monomial

Step-by-step explanation:

If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.

To state if the triangles in each pair are similar, follow these steps:

1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.

2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.

3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.

Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.

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Answer:

b

Step-by-step explanation:

Answer:

I’m sorry I don’t know

Step-by-step explanation:

☹️☹️☹️☹️☹️

The amount of discount on the jacket is Birr 144.

We can use the following formula :

Discount amount = Original price - Discounted price

We must determine the original pricing of the jacket given that it has a discounted price of Birr 576 and the discount is 20%.

Assume "x" stands in for the original price.

The information provided indicates that the discounted price is 80% (100% - 20%) of the original cost:

Discounted price = 80% of the original price

576 = 0.8x

To find the original price, we can divide both sides of the equation by 0.8:

x = 576 / 0.8

x = 720

Now that we have the original price, we can calculate the amount of discount:

Discount amount = Original price - Discounted price

Discount amount = 720 - 576

Discount amount = Birr 144

Therefore, the amount of discount on the jacket is Birr 144.

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The three consecutive even integers are -38, -36, and -34.

Given f(x) = 2x-3 and g(x) = 5x + 4, the composite of f° g(x) = f(g(x)) can be calculated as follows:

Solution: A. Composite (f° g)(x):f(x) = 2x - 3 and g(x) = 5x + 4

Let's substitute the value of g(x) in f(x) to obtain the composite of f° g(x) = f(g(x))f(g(x))

= f(5x + 4)

= 2(5x + 4) - 3

= 10x + 5

B. Composite (g° f)(x):f(x)

= 2x - 3 and g(x)

= 5x + 4

Let's substitute the value of f(x) in g(x) to obtain the composite of g° f(x) = g(f(x))g(f(x))

= g(2x - 3)

= 5(2x - 3) + 4

= 10x - 11

C. Composite (f° g)(-3):

Let's calculate composite of f° g(-3)

= f(g(-3))f(g(-3))

= f(5(-3) + 4)

= -10 - 3

= -13

Given f(x) = x² - 8x - 9 and

g(x) = x²+ 6x + 5,

the composite of f° g(x) = f(g(x)) can be calculated as follows:

Solution: A. Composite (fog)(0):f(x) = x² - 8x - 9 and g(x)

= x² + 6x + 5

Let's substitute the value of g(x) in f(x) to obtain the composite of f° g(x) = f(g(x))f(g(x))

= f(x² + 6x + 5)

= (x² + 6x + 5)² - 8(x² + 6x + 5) - 9

= x⁴ + 12x³ - 31x² - 182x - 184

B. Composite (fog)(1):

Let's calculate composite of f° g(1) = f(g(1))f(g(1))

= f(1² + 6(1) + 5)= f(12)

= 12² - 8(12) - 9

= 111

C. Composite (g° f)(1):

Let's calculate composite of g° f(1) = g(f(1))g(f(1))

= g(2 - 3)

= g(-1)

= (-1)² + 6(-1) + 5= 0

The length and width of an envelope can be calculated as follows:

Solution: Let's assume the width of the envelope to be x.

The length of the envelope will be (x + 4) cm, as per the given conditions.

The area of the envelope is given as 96 cm².

So, the equation for the area of the envelope can be written as: x(x + 4) = 96x² + 4x - 96

= 0(x + 12)(x - 8) = 0

Thus, the width of the envelope is 8 cm and the length of the envelope is (8 + 4) = 12 cm.

Three consecutive even integers whose square difference is 76 can be calculated as follows:

Solution: Let's assume the three consecutive even integers to be x, x + 2, and x + 4.

The square of the third integer is 76 more than the square of the second integer.x² + 8x + 16

= (x + 2)² + 76x² + 8x + 16

= x² + 4x + 4 + 76x² + 4x - 56

= 0x² + 38x - 14x - 56

= 0x(x + 38) - 14(x + 38)

= 0(x - 14)(x + 38)

= 0x = 14 or

x = -38

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Answer:

y = -4x-2

Step-by-step explanation:

from the graph

The probability that a randomly chosen part is defective is 0.16, or 16%.

The probability that a randomly chosen part is defective, we need to use the law of total probability.

Let \($D$\) be the event that a part is defective and let \($M_i$\) be the event that the part came from machine \($i$\), for \($i = A, B, C$\).

Then we have:

\($P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$\)

60% of the products come from machine A, 30% from machine B, and 10% from machine C.

Therefore:

\($P(M_A) = 0.6$\)

\($P(M_B) = 0.3$\)

\($P(M_C) = 0.1$\)

The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.

Therefore:

\($P(D|M_A) = 0.1$\)

\($P(D|M_B) = 0.3$\)

\($P(D|M_C) = 0.4$\)

Substituting these values into the law of total probability, we get:

\($P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$\)

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Answer:

6xsinx + 3x²cosx

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)(g(x) , then

\(\frac{dy}{dx}\) = f(x)g'(x) + g(x)f'(x)

Here f(x) = sinx ⇒ f'(x) = cosx

g(x) = 3x² ⇒ g'(x) = 6x

Thus

\(\frac{dy}{dx}\) = 6xsinx + 3x²cosx

the area of section A, which has side lengths of 7 inches each.

To determine the area, we will use the following terms:

Area = Side length × Side length

Area = 7 inches × 7 inches

7 inches × 7 inches = 49 square inches

So, the area of section A is 49 square inches (OA).

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Using translation concepts, the coordinates of the vertices of the image are given as follows:

(-7,-10), (-5, -5) and (-1, 8).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a reflection across the x-axis is given by:

(x,y) -> (x, -y).

Hence the coordinates of the vertices of the image are given as follows:

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For the very first graph of the sinx function,

According to the coordinates obtained ,

The graph from the options which satisfied the sinx function are,

The graph of option A,C are satisfied the sin function .

Therefore the correct option is A , C.

Answer: 700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

copy and paste

Answer:

there is no diagram ......

Answer:

760

Step-by-step explanation:

5 times 6 is 30 and 30 + 8 = 38. 38 times 20 = 760

Hope this helps

Using equations we know that towards the end of April, 4167 ants were needed to meet the requirement.

A group of statistical methods known as structural equation modeling (SEM) is used to quantify and examine the connections between latent and observable variables.

It explores linear causal links among variables while concurrently taking measurement error into account, making it similar to but more effective than regression analysis.

Early on, econometric models known as structural equation models were created to explain economic measurements.

Exogenous variables are those whose variability is produced outside the model, while endogenous variables are those whose variability is explained by exogenous factors or other variables within the model.

So, suppose there are x ants at the end of April.

The answer to the query is:

Total ants - fewer ants means there are fewer ants left.

x = 5000 - 1/6[5000]

x = 5000[1 - 1/6]

x = 5000[5/6]

x = 4166.67

x = ≈ 4167

Therefore, using equations we know that towards the end of April, 4167 ants were needed to meet the requirement.

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Correct question:
At the beginning of April, a colony of ants has a population of 5,000. During April, the colony decreases by 1/6 of its population. How many ants are there left at the end of April? approximate your answer as an integer(it would not make sense to have 2.5 ants). 5,000