Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which
shows Lamar's next step and the solution to the equation?

FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."

FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.

However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.

PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.

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Answer:

Step-by-step explanation:

https://mypages.valdosta.edu/alazari/math1111/Classmaterials/2.5%20-%20HW.pdf

Answer:

$253.75

Step-by-step explanation:

He earns $50.75/week. Do 50.75 x 5 = $253.75

Answer: 31.4 mins (2dp).

Step-by-step explanation: To find the volume of the tank.

πr² × h

π2² × 3

= 37.7m³

To find how long it will take to fill the tank:

37.7 ÷ 1.2 = 31.4 minutes (2dp)

Answer:The teller gave him 14 five-dollar bills and 10 ten-dollar bills.

Step-by-step explanation:The bank teller gave him 24 dollar bills worth $170 so 14 five-dollar bills plus 10 ten-dollar bills will give you 24 dollar bills.

An obtuse triangle and right angle triangle can always be used as counter examples to the given statement.

What is acute angle?

An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle

What is obtuse angle?

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.

What is right angle?

A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles..

Hence, an obtuse triangle and right angle triangle can always be used as counterexamples to the given statement " All angles in a triangle are acute".

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The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").

To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.

First, let's set the two equations equal to each other:

3x² + (12/24)y² = 16 - x²

Next, we simplify the equation:

4x² + (12/24)y² = 16

Multiplying both sides by 24 to eliminate the fraction:

96x² + 12y² = 384

Dividing both sides by 12 to simplify further:

8x² + y² = 32

Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:

(x²/a²) + (y²/b²) = 1

Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.

So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.

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Answer:

The measure is the measure that it is you forgot the picture

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Find the rate and compare.

4 hrs = £24

8 hrs = £50

24 ÷ 4 = £6 per hour

50 ÷ 8 = £6.25 per hour

As you can see, the rate is not the same, so Vince's pay is not proportional at all.

In this case, The critical numbers are x = 1.

To find the critical numbers of g(y) = (y-2)/(y^2-2y+4), we first find the derivative g'(y) and then set it equal to zero or find where it's undefined.

g'(y) = (2y-2)/((y^2-2y+4)^2).

The critical numbers are y = 1. 2.

For f(x) = x^(-2)ln(x), you probably meant f(x) = x^(-2)ln(x).

In this case, find the derivative f'(x) and set it equal to zero or find where it's undefined.

f'(x) = -2x^(-3)ln(x) + x^(-2)(1/x).

The critical numbers are x = 1.

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To solve this problem we ned to isolate the "w" variable on the left side of the equation, as shown below:

The correct answer is the second option.

Answer: d or a i think

Step-by-step explanation:

Answer:

free points

Step-by-step explanation:

hahahahahaha

Answer:

8/19

Step-by-step explanation:

put the color wanting to pick over total amout of choices

8 over 19

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

\(9^{-1/2} = 27^{1/4}\)÷\(3^{x +1}\)

\([3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}\) ÷\(3^{x +1}\)

\(3^{-1}\) = 3 ÷\(3^{x +1}\)

\(3^{-1}\)= \(\frac{3}{3^{x+1}}\)

\(3^{-1}= 3^{1-x+1}\)

\(3^{-1}= 3^{2-x}\)

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

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The correct option is A) quantitative data.

The stem-and-leaf plot is used to display the distribution of quantitative data.

Stem-and-leaf plots are very useful graphical techniques to represent data of numeric values. It is a way to represent quantitative data graphically with precision and accuracy, and its detailed structure can show the distribution of data.

Each number in a data set is split into a stem and a leaf, where the stem is all digits of the number except the rightmost, and the leaf is the last digit of the number.

Then the stems are listed vertically, and the leaves of each number are listed in order beside the corresponding stem, allowing you to view the overall shape of the data and identify outliers and patterns.

Thus, stem-and-leaf plot is used to display the distribution of quantitative data.

Therefore, the correct option is A) quantitative data.

The stem-and-leaf plot is used to display the distribution of quantitative data.

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Answer:

415.39 \(ft^{2}\)

Step-by-step explanation:

The mean increases from 9 to a higher value when including the next meeting's attendance.

To find the mean of a set of data, you need to sum all the values and divide by the total number of values.

In this case, the mean of the initial data with 9 students is given as 9.

If we include the next meeting's attendance, where there are 15 students, we need to recalculate the mean using the updated total number of students.

The new mean:

Total number of students = 9 (initial) + 15 (next meeting) = 24

New mean = Sum of values / Total number of values

Since we don't have the sum of the values, we can't calculate the exact new mean without additional information.

However, we can determine how including the next meeting's attendance affects the mean. Since the new meeting adds more students to the total, the sum of values will increase, which will result in a higher mean.

Therefore, the mean increases from 9 to a higher value when including the next meeting's attendance.

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The loan was taken out for approximately 14.29 years. To determine the number of years the loan was taken out, we can use the formula for simple interest: Interest = Principal * Rate * Time

In this case, the interest paid is $5000, the principal (initial loan amount) is $700, and the interest rate is 6% or 0.06.

5000 = 700 * 0.06 * Time

To find Time (in years), we can rearrange the equation:

Time = 5000 / (700 * 0.06)

Time ≈ 14.29 years

Therefore, the loan was taken out for approximately 14.29 years.

To find the number of years the loan was taken out, we use the formula for simple interest:

Interest = Principal * Rate * Time.

We know that the interest paid is $5000, the principal is $700, and the interest rate is 6% or 0.06.

Plugging these values into the formula, we get 5000 = 700 * 0.06 * Time.

To find the time in years, we divide both sides of the equation by (700 * 0.06) to isolate Time.

Simplifying the equation, we get Time = 5000 / (700 * 0.06), which is approximately 14.29 years.

Therefore, the loan was taken out for approximately 14.29 years.

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Answer:

I guess it is 43.57 Hope it helps!!!

Answer:

D  36πa^6b^9

Step-by-step explanation:

Step 1. Write the formula for the volume of a sphere.

V = (4/3)πr³

Step 2. Replace r with the given radius. Since the given radius is an expression, remember to enclose it in parentheses and cube the entire expression.

V = (4/3)π(3a²b³)³

Step 3. Simplify the expression. Start by cubing each factor inside the parentheses.

V = (4/3)π ×(3)³(a²)³(b³)³

To raise an exponent to an exponent, multiply the exponents.

V = (4/3)π × 27a^6b^9

V = (4/3 × 27)πa^6b^9

V = 36πa^6b^9

Answer: D  36πa^6b^9

Answer:

\(438^{2}\)

Step-by-step explanation:

To begin answering this question you must first know that volume is often found by b*h*l

The first part we will look at is the rectangle

The sides are 6ft and 10ft with a height of 6.5. So to find the volume of this sect we multiply all 3 together which is 360

Since the two triangles at the end have the same width, I will treat it as a cube. The dimensions of this cube is 4ft by 3ft (6ft/2) multiply it by 6.5 to get 78

Finally we must add 360 and 78 to get the complete answer which is 438 ft cubed

Answer:

4x-14 jrjejejeueuueuw

Answer:

The answer is 4186. 67

Step-by-step explanation:

\(v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67\)

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(a) The value of st from the second constraint into the first constraint is yt = ct + (ct+1 - ct) = 2ct + ct+1, (b) The constraint for ct+1 is yt - 2ct, (c) u(ct) = ln(ct) + βln(yt - 2ct), (d) u'(ct) = 1/ct - 2β/(yt - 2ct), (e) 1/ct = 2β/(yt - 2ct), (f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice, (g) β = 0.9524.

(a) To combine the two constraints, we can substitute the value of st from the second constraint into the first constraint:

yt = ct + st
yt = ct + (ct+1 - ct) = 2ct + ct+1

(b) Solving the constraint for ct+1, we get:

yt = 2ct + ct+1
ct+1 = yt - 2ct

(c) Plugging the constraint into ct+1 in the utility function, we have:

u(ct) = ln(ct) + βln(yt - 2ct)

(d) Differentiating the utility function with respect to ct, we get:

u'(ct) = 1/ct - 2β/(yt - 2ct)

(e) To derive the Euler Equation, we set the derivative of the utility function with respect to ct equal to 0:

0 = 1/ct - 2β/(yt - 2ct)

Simplifying, we have:

1/ct = 2β/(yt - 2ct)

(f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice. It states that the marginal benefit of consuming one additional unit today (1/ct) is equal to the discounted marginal benefit of consuming one additional unit tomorrow (2β/(yt - 2ct)).

(g) If rho=0.05 and the real interest rate is 3%, we can calculate the value of β:

β = 1/(1+rho)

= 1/(1+0.05)

= 0.9524

To determine whether ct or ct+1 is larger, we need more information.

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Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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The value of x to the nearest tenth for the given set of triangles is 5.6 units.

A triangle is a three-sided polygon that has three angles and three vertices. It is a basic geometric shape that is often used in mathematics, science, and engineering. The sum of the angles in a triangle is always 180 degrees. This property is known as the Triangle Sum Theorem. Triangles have several important properties and formulas that are used in various mathematical applications. For example, the Pythagorean theorem relates the sides of a right triangle, and the law of cosines and law of sines can be used to relate the sides and angles of any triangle.

Here,

Using the concept of similar triangle, the ratio of sides of triangle is equal.

4.3/x=4.1/5.3

4.3*5.3/4.1=x

x=5.56 units

x≈5.6 units

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Answer:

X = 2

Step-by-step explanation:

4x-2 = 2x+2 multiply the brackets on both sides

4x-2x = 2+2 bring thes x's to one side & the constants to another side

2x = 4 simplify

X = 4÷2 divide

x = 2

Answer:

To calculate the interest earned on a savings account, you first need to determine the interest rate per year and the time the money is invested. In this case, the interest rate is 4.5% and the time is 2 years.

The formula for simple interest is I=Prt, where I is the interest earned, P is the principal (the initial amount invested), r is the interest rate, and t is the time. Plugging in the values from the problem, we get I = 1250 * 0.045 * 2 = $112.50.

Therefore, Ethan will earn $112.50 in interest after 2 years if he does not add or withdraw any money from the account. Rounded to the nearest cent, this is $112.00.

Step-by-step explanation: