8. (-/1.5 Points] DETAILS SCALCCC4 12.3.041. Sketch the region of integration and change the order of integration. So Sor f(x, y)dyda S f(x, y) dxdy Need Help? Read It Watch It 9. [-/1.5 Points] DETAILS SCALCCC4 12.3.047. Evaluate the integral by reversing the order of integration. SS 7e+dedy Need Help? Read It Watch It Submit Answer

Answer:

-1/6 x (4a - 5)

Step-by-step explanation:

-2/3a + 5/6

Factor the expression.

The measure of angle EAC is angle c° is the answer according to the given information in the question.

An angle in Euclidean geometry is the figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also produced by the intersection of two planes. These are referred to as dihedral angles. Angle can also refer to the measurement of an angle or rotation. This metric is said to be the length of a circular arc divided by its radius. In the case of a geometric angle, the arc is defined by its sides and is centered at the vertex.

Since DE ║ BC, angle EAC = angle ACB (alternative angle)When two lines are parallel, they generate an alternate angle that is equal. The measure of angle EAC is angle c°

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The complete question is as follows:

What is the measure of angle EAC?

Answer:

the answer is 108 the last choice D

a. An absolute value inequality to represent the water temperature is |T - 58| ≤ 15.

b. A graph of the inequality is shown below and the solution set represent the range of water temperature that the fish can tolerate.

c.  An absolute value inequality to represent the population of fish is |P - 200| ≤ 10.

In order to write and solve an absolute value inequality that represents the water temperature, we would assign the variable T to the water temperature. Therefore, the required absolute value inequality can be written as follows;

|T - 58| ≤ 15

-15 ≤ T - 58 ≤ 15

-15 + 58  ≤ T - 58 + 58 ≤ 15 + 58

43 ≤ T ≤ 73

Part b.

In this scenario and exercise, we would plot the water temperature on the x-axis of a cartesian coordinate by using an online graphing tool as shown in the image attached below.

Additionally, the solution set (43, 0) and (73, 0) is the shaded portion of the graph and it represents the range of water temperature that this population of fish can tolerate.

Part c.

In order to write and solve an absolute value inequality that represents the population of fish, we would assign the variable P to the population of fish. Therefore, the required absolute value inequality can be written as follows;

|P - 200| ≤ 10

-10 ≤ P - 200 ≤ 10

-10 + 200  ≤ P - 200 + 200 ≤ 10 + 200

190 ≤ P ≤ 210

In conclusion, the solution set (190, 0) and (210, 0) is the shaded portion of the graph and it represents a safe environment for the population of fish.

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Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

Answer:

she uses 43 kilograms of clay in all

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Hypotenuse is 10 because it is the opposite of the right angle

8^2+x^2=10^2

64+x^2=100

x^2=36

x=6

Answer:

2. domain-r

range-not a function

function-function

Step-by-step explanation:

Answer:

m = -11 + h

Step-by-step explanation:

we don't know if h is bigger than 11 or smaller

so we couldn't put directly like h-11

Answer: M=h-11

Step-by-step explanation:

In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,

- term 11, will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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The rate of change for the interval between 2 and 6 on the x-axis is 3.

Given

On a coordinate plane, a parabola opens up.

Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14).

A rate of change defines how one quantity changes in relation to another quantity.

The rate of change for the interval between 2 and 6 on the x-axis is;

\(\rm Rate \ of \ change =\dfrac{2-14}{2-6}\\\\Rate \ of \ change =\dfrac{-12}{-4}\\\\Rate \ of \ change =3\)

Hence, the rate of change for the interval between 2 and 6 on the x-axis is 3.

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Answer:

i need the points

Step-by-step explanation:

Answer:

I'm pretty sure that is the correct answer

Step-by-step explanation:

The solid figure to be formed from the net shown is a triangular pyramid.

A solid figure is a three dimensional shape that has length, width and height. Example of solid figures are cube, pyramid, prism, sphere and so on.

A pyramid is a solid figure with polygon base and triangular faces. Each edge of the base is connected to the apex.

A triangular pyramid is a pyramid with triangular base and three triangular lateral faces.

The solid figure to be formed from the net shown is a triangular pyramid.

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Answer:

x=1

Step-by-step explanation:

The value for x is 0 or 1.

The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if \(b^x\) = n

Given:

logx + log(x + 2) = log(3x)

Using the Property

log a+ log b= log(ab)

So, logx + log(x + 2) = log(3x)

log ( x(x+ 2)) = log( 3x)

Now, Comparing

x(x+2) = 3x

x² + 2x = 3x

x² = x

x²-x= 0

x(x-1)= 0

x=0 or 1.

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Answer:

12+4 is the expression that will give you a sum of 16

4•4 is an expression that will give you a product of 16

remember an expression does not have an equal sign if it had an equal sign then it would be an equation and expression has no equal sign

Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

To determine the amount of taxable income for Aaron Rentz in 2020, we need to consider his wages, interest income, and any deductions or credits he may be eligible for.

From the given information, Aaron has $900 of wages and $1,400 of interest income.

In 2020, the standard deduction for a single individual was $12,400. Since Aaron is a qualifying child of his parents, he may not be able to claim his own personal exemption.

To calculate Aaron's taxable income, we subtract the standard deduction from his total income:

Taxable Income = Total Income - Standard Deduction

Taxable Income = $900 + $1,400 - $12,400

Taxable Income = $2,300 - $12,400

Taxable Income = -$10,100

Since Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

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The rate is the water level decreasing when the radius of the water's surface is r = 2cm is 0.08 cm/sec or dh/dt = - 0.08 cm/sec.

We have given that,

Water is dripping from an inverted cone.

height , h = 12 cm

diameter , d = 12 cm

so, radius, r = 6 cm

rate , dV/dt = - 1 cm³/sec

At any point, the portion of the cone that is filled will have the ratio of radius/height = 6/12 = 1/2. Put another way, h = 2r.

we have to calculate the rate is the water level decreasing , dh/dt when radius of the water's surface is r = 2 cm .

Volume of cone , V = 1/3 π (r)²h = 1/3π (h/2)²h

plugging all known values,

V = 1/3 ( h³/4)π

differentiating with respect to h we get,

dV/dh = 1/3(3h²)π/4 , h = 12

= 1/12(3× 4r²)π ( from r = 2 cm)

= 4π cm²

but we have required, dh/dt = dV/dt × dh/dV

= - 1 cm³/sec × 1/4π cm²

= - 1/4π cm/sec

= - 0.0792 ~ 0.08 cm/sec

Hence, the required value is - 0.08 cm/sec.

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Complete question:

Water is dripping from an inverted cone with a diameter of 12 cm and a height of 12 cm at a rate of 1 cm3 /sec. At what rate is the water level decreasing when the radius of the water's surface is r = 2 cm?"

 In question (i), using subsampling without replacement from the original sample of 320 participants, the probability of having either 2 or 3 participants who exercised more than 4 days per week in a new sample of 10 participants is calculated. In question (ii), using bootstrap resampling with replacement from the original sample, the probability of having more than 10 participants who exercised more than 2 days per week in a new sample of 15 participants is determined.

(i) In subsampling without replacement, we randomly select 10 participants from the original sample of 320. The probability of eachparticipant being selected is the same, given that it is a random selection without replacement. To find the probability of having either 2 or 3 participants who exercised more than 4 days per week, we calculate the probability of selecting 2 participants who exercised more than 4 days per week and add it to the probability of selecting 3 participants who exercised more than 4 days per week.
(ii) In bootstrap resampling with replacement, we randomly select 15 participants from the original sample of 320. Each participant has an equal chance of being selected in each draw, and replacement allows the same participant to be selected multiple times. To find the probability of having more than 10 participants who exercised more than 2 days per week, we calculate the probability of selecting 11, 12, 13, 14, and 15 participants who exercised more than 2 days per week and sum them up.
The probabilities in both cases can be calculated using combinatorial formulas and the concept of probability distributions.

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Answer:

  9.08

Step-by-step explanation:

To find the predicted value of y, put the x-value where x is in the equation and do the arithmetic.

  \(\hat{y}=134.63-2.79x\qquad\text{given}\\\\\hat{y}=134.63-2.79(45) = 134.63-125.55\qquad\text{use 45 for x}\\\\\boxed{\hat{y}=9.08}\qquad\text{simplify}\)

The overall limit is the vector: lim t→0 (e^(-5t)i + t^2*sin^2(t)j + sin(4t)k) = 1i + 0j + 0k = i.

To find the limit lim t→0 of the given vector function, which includes the terms e^(-5t), t^2*sin^2(t), and sin(4t), we will evaluate the limit of each component separately.
In Mathematics, a limit is defined as a value that a function approaches the output for the given input values.

Limits are important in calculus and mathematical analysis and used to define integrals, derivatives, and continuity. It is used in the analysis process, and it always concerns about the behaviour of the function at a particular point.

The limit of a sequence is further generalized in the concept of the limit of a topological net and related to the limit and direct limit in theory category.

Generally, the integrals are classified into two types namely, definite and indefinite integrals. For definite integrals, the upper limit and lower limits are defined properly. Whereas in indefinite the integrals are expressed without limits, and it will have an arbitrary constant while integrating the function.
1. The limit of the first component e^(-5t) as t approaches 0:
lim t→0 e^(-5t)
Since e^0 is equal to 1, the limit is:
lim t→0 e^(-5t) = 1
2. The limit of the second component t^2*sin^2(t) as t approaches 0:
lim t→0 t^2*sin^2(t)
Since sin(0) = 0, and 0^2 = 0, the limit is:
lim t→0 t^2*sin^2(t) = 0
3. The limit of the third component sin(4t) as t approaches 0:
lim t→0 sin(4t)
Since sin(0) = 0, the limit is:
lim t→0 sin(4t) = 0

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The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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In order to be certain that the probability of at least one occurrence of each of the six faces of the die is greater than 0.99, you would need to toss the die a minimum of\(6 x 5 x 4 x 3 x 2 = 720\) times.

For example, if you tossed the die 6 times, the probability of at least one occurrence of each of the six faces is 0.54. This probability increases with each additional toss, reaching 0.99 after 720 tosses.

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The fourth co-ordinate of the rectangle is D (-2, -1). The equation of the line that passes through the points B and D is 3y = 2x + 3.

The given points are:

A(−2,3), B(4,3), C(4,−1)

When we plot these points on the graph we can easily estimate the fourth point which will be equidistant from A as the point C is from B and from the point C as the point A is from B.

Therefore, the diagonal points are B(4, 3) and D(-2, -1).

The equation of the line between these two points is:

(y - y1) = ((y2 - y1)/(x2 - x1)) (x - x1)

(y - 3) = ((-1 -3)/(-2 - 4)) ( x - 4)

y - 3 = (2/3) (x - 4)

3y - 9 = 2x - 8

3y = 2x + 1

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Answer:

SAS similarity

Step-by-step explanation:

The two triangles MON and MQP are such that

Angle M = Angle M

MO/MQ = MN/MP

Therefore, Triangle MON ~ Triangle MQP (SAS similarity)

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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