I need to find the slope but i have no idea how.

Answer:

I believe the answer is 20

Step-by-step explanation:

Given that 9 F(X) Dx = 37 0 and 9 f(x) dx = 37, and 9 g(x) dx = 16, we have to find 9 [4f(x) + 6g(x)] dx.Now, 9[4f(x) + 6g(x)] dx = 4[9 f(x) dx] + 6[9 g(x) dx]using the linear property of the definite integral= 4(37) + 6(16) = 148 + 96 = 244Therefore, 9[4f(x) + 6g(x)] dx = 244. The integral limits are from 0 to integral.gif.

The given content is a set of equations involving integrals. The first equation states that the definite integral of function F(x) with limits from 0 to 9 is equal to 37. Similarly, the second equation states that the definite integral of function f(x) with limits from 0 to 9 is also equal to 37. The third equation involves the definite integral of another function g(x) with limits from 0 to 9, which is equal to 16.

The problem requires finding the definite integral of the expression [4f(x) + 6g(x)] with limits from 0 to 9. This can be done by taking the integral of 4f(x) and 6g(x) separately and then adding them up. Using the linearity property of integrals, the integral of [4f(x) + 6g(x)] can be written as 4 times the integral of f(x) plus 6 times the integral of g(x).

Substituting the values given in the third equation, we can calculate the value of the integral [4f(x) + 6g(x)] with limits from 0 to 9.

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9[4f(x) + 6g(x)] dx = 4[9 f(x) dx] + 6[9 g(x) dx] using the linear property of the definite integral= 4(37) + 6(16) = 148 + 96 = 244. The integral limits are from 0 to integral.

Given that 9 F(X) Dx = 37 0 and 9 f(x) dx = 37, and 9 g(x) dx = 16, we have to find 9 [4f(x) + 6g(x)] dx.

Now, 9[4f(x) + 6g(x)] dx = 4[9 f(x) dx] + 6[9 g(x) dx] using the linear property of the definite integral= 4(37) + 6(16) = 148 + 96 = 244.

The given content is a set of equations involving integrals. The first equation states that the definite integral of function F(x) with limits from 0 to 9 is equal to 37.

Similarly, the second equation states that the definite integral of function f(x) with limits from 0 to 9 is also equal to 37.

The third equation involves the definite integral of another function g(x) with limits from 0 to 9, which is equal to 16.

The problem requires finding the definite integral of the expression [4f(x) + 6g(x)] with limits from 0 to 9. This can be done by taking the integral of 4f(x) and 6g(x) separately and then adding them up.

Using the linearity property of integrals, the integral of [4f(x) + 6g(x)] can be written as 4 times the integral of f(x) plus 6 times the integral of g(x).

Substituting the values given in the third equation, we can calculate the value of the integral [4f(x) + 6g(x)] with limits from 0 to 9.

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Answer:

Step-by-step explanation:

Angles that form a straight line are called a linear pair. They are supplementary angles (by definition), so their sum is 180°.

__

Replacing the angle numbers with their values, we can use this relationship.

  120 + x = 180 . . . . use the given numbers in the supplementary angle relationship

  x = 180 -120 . . . . . use the addition property of equality to find x by subtracting 120 from both sides of the equation

  x = 60

The missing angle (x) is 60 degrees.

The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

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Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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America's first roller coaster ride, which opened in 1884 at Coney Island, Brooklyn, and capable of(Option B) a top speed of only six miles per hour.

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

Hence, Option B is the correct answer, i.e., America's first roller coaster ride, which opened in 1884 at Coney Island, Brooklyn, and capable of(Option B) a top speed of only six miles per hour.

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Answer:

I think a-b.

Step-by-step explanation:

Hope it's help you ✨

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Given data:

The given right angle triangle.

The expression for the value of x is,

Thus, the value of x is 16.1 units.

Given the decimal value 8.05.

First we need to express as a fraction as shown;

8.05 = 805/100

Write in ots simplest form

805/100 = 5 * 161/5*20

805/100 = 161/20

Hence the decimal 8.05 as an improper fraction is 161/20

Express as mixed fraction;

161/20 = [(20*8) + 1]20

161/20 = (20*8)/20 + 1/20

161/20 = 8 + 1/20

161/20 = 8 1/20

Hence the deco

Answer: 8.49 inches

Step-by-step explanation:

16.4-7.91=8.49 inches

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

h(-8) = -2 ( -8 +5 )^2 + 4

       =  -2 ( -3)^2 + 4

        = -18 + 4

        = -14

If the function is given h(t)=-2(t+5)^{2}+4 then h(-8) is equal to -14.

A function is relationship between two or more variables expressed in equal to form. In the function each value of x should have corresponding value of y.

The value of x is domain of the function and the value of function is called co - domain or range of function.

We have been given the function as h(t)=-2(t+5)^{2}+4 and we have to find the value of function at t=-8.So to find the value we have to just put t=-8 in the given function.

\(h(t)=-2(t+5)^{2} +4\\h(-8)=-2(-8+5)^{2}+4\\=-2*-3^{2}+4\\=-2*9+4=-18+4=-14\)

Hence, if function is given h(t)=-2(t+5)^{2} +4 then the value of h(-8)=-14.

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The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Step-by-step explanation:

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The relationship between the vertex and the minimum or maximum value of the parabola is given below.

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Let the vertex be any parabola is (x, y).

When the graph of the parabola opens up,

then the y-value of the vertex is the minimum value.

And when the graph of the parabola opens down,

then the y-value of the vertex is the maximum value.

Therefore, the explanation is given above.

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Answer:

Step-by-step explanation:

bearing is the angle which a line makes with the north.

Answer:

The length of each edge is 2in.

Step-by-step explanation:

This is because 2x2x2=8. 2x2 is 4 and 4x2 is 8.

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

a. y = x - 2

Step-by-step explanation:

y = a.x + b

from the graph: x = 0, y = -2 --> b = -2

                          x = 2, y = 0  --> 0 = a.2 -2 --> a = 1

Answer:

First consider the original amount.

Then consider the rate of tax or markup

To find the tax or markup, multiply the rate by the original amount.

To find the total cost, add the tax or markup to the original amount.

Step-by-step explanation:

Example

A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.

Solution

Step 1:

List price of the phone = $790

Sales tax rate = 6.5%

Step 2:

Sales tax = 6.5% of 790=0.065×790=51.35

Step 3:

Total cost of phone including sale tax = list price + sales tax

= 790+51.35

= $841.35

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The circumference of the circle is 72cm.

\(Arc length = 2\pi r(\frac{x}{360} )\)

where

r is the radius of the circle

x is the central angle of the arc

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as

circumference of the circle = 2πr

According to the given question we have

central angle of the arc, x = 15 degrees

Arc length = 3 cm

Let r be the radius of the given circle.

Then,

Arc length = 2πr\((\frac{15}{360} )\)

⇒ 3 ×\(\frac{360}{15}\)  = circumference of the circle   ( circumference or circle =2πr)

⇒ circumference of the circle = 72 cm

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Step-by-step explanation:

PLATO

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Answer:

Third choice: \( y \le \dfrac{2}{3}x + \dfrac{1}{5} \)

Step-by-step explanation:

First, we find the equation of the line.

y = mx + b

b = y-intercept = 0.2 = 1/5

y = mx + 1/5

m = rise/run = 2/3

y = 2/3 x + 1/5

The line is solid, and the shading is below the line, so the inequality is

\( y \le \dfrac{2}{3}x + \dfrac{1}{5} \)

Answer:

C. y = 2/3x + 1/5

Step-by-step explanation:

Well lets look at the features,

Solid line and shaded down meaning it is y ≤.

So we can cross out choices A. B. D.

Do the answer is C. because it’s the only one that starts with y≤.

A 20% discount means the new price would be 80% of the original price ( 100 - 20 = 80)

Multiply the original price by 80%:

15 x 0.80 = 12

The new price is $12

Answer:

$6.44

Step-by-step explanation:

First, we have to find out how many total ounces the pack weighs.

Multiply the number of bars by the oz of each bar.

36 x 1.6 = 57.6

Divide the cost of the pack by the total oz

23.2 ÷ 57.6 = 0.40277... (Let's round it to 0.4028)

Multiply the cost per oz to by 16 (16 oz = 1 lb) to get cost per pound

0.4028 x 16 = 6.4448

Round it to the nearest hundredth, and we get that the price per pound is $6.44.