Factorize the following Equation and show your work

x^{2} - 10x +25

Answer:

m<ABC > m<ACB (angle property of a triangle)

Step-by-step explanation:

Given that: ΔABC

                  AB = AX

Prove: m<ABC > m<ACB

From the given diagram,

ΔABX is an isosceles triangle (two congruent sides and angles)

<AXB = m<ABX = \(90^{o}\) (isosceles triangle property)

AC = AX + XC

Thus,

AC > AB

m<ABC = m1 + m3 ≥  \(90^{o}\)

m<ACB < \(90^{o}\) (acute angle property)

Therefore since in a triangle the longest side is opposite to the greatest angle, then;

m<ABC > m<ACB (angle property of a triangle)

Answer: 120

Step-by-step explanation:

angle c is 120 degrees and angle a is congruent to angle c which mean angle a is 120. hope this helps.

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

When evaluating the quality of a good or service, there are several dimensions that are commonly considered. These dimensions provide a framework for assessing the overall quality and performance of a product or service. Here are six key dimensions of quality:

1. Performance: Performance refers to how well a product or service meets or exceeds the customer's expectations and requirements. It focuses on the primary function or purpose of the product or service and its ability to deliver the desired outcomes effectively.

2. Reliability: Reliability relates to the consistency and dependability of a product or service to perform as intended over a specified period of time. It involves the absence of failures, defects, or breakdowns, and the ability to maintain consistent performance over the product's or service's lifespan.

3. Durability: Durability is the measure of a product's expected lifespan or the ability of a service to withstand repeated use or wear without significant deterioration. It indicates the product's ability to withstand normal operating conditions and the expected frequency and intensity of use.

4. Features: Features refer to the additional characteristics or functionalities provided by a product or service beyond its basic performance. These may include extra capabilities, options, customization, or innovative elements that enhance the value and utility of the offering.

5. Aesthetics: Aesthetics encompasses the visual appeal, design, and sensory aspects of a product or service. It considers factors such as appearance, style, packaging, colors, and overall sensory experience, which can influence the customer's perception of quality.

6. Serviceability: Serviceability is the ease with which a product can be repaired, maintained, or supported. It includes aspects such as accessibility of spare parts, the availability of technical support, the speed and efficiency of repairs, and the overall customer service experience.

These six dimensions of quality provide a comprehensive framework for evaluating the quality of both goods and services, taking into account various aspects that contribute to customer satisfaction and value.

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Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample  selected group of individuals from the neighborhood at random times throughout the day.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample  selected group of individuals from the neighborhood at random times throughout the day.

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To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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Answer:

x = 2/3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask

If you find this answer helpful, mark it Brainleast ;)

Answer:

a point that doesnt match with the rest

Step-by-step explanation:

To order the values ​​from least to greatest, we must take into account some important rules, for example.

1.a whole number is greater than a decimal number

2. The greater the decimal number that has more in its integer part.

3.The number placed furthest to the right of the number line is greater. For example +2 is greater than -1. -2 is greater than -3

Now taking into account these rules, we are going to order the numbers given in the exercise from lowest to highest;

-35

-4.3

1.21

2.7

III ;which is equal to 3 integers

4.6

Answer:

put it on the calculator

Answer:

its 136

Step-by-step explanation:

The probability that a student studied for 4 hours is 0.3.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1.

Given A group of students was surveyed in a middle school class,

the table for records,

Number of Hours          Total Number of Students

0                                                      1

1                                                       3

2                                                      2

3                                                      10

4                                                       9

5                                                       7

6                                                        3

To determine the probability;

The number of students that has 4 hours is 9

The total number of students = 30

P(4 hours) = 9/30

P(4 hours) = 0.3

Hence probability is 0.30.

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Answer:

4

Step-by-step explanation:

The amplitude of the sin graph is 4. Sin graphs are written as \(y=A sin(B(x-D))+C\) where A is the amplitude. In the equation above 4 is multiplied in front of sin, which shows it is the amplitude. Since 4 is the amplitude the graph will have a range of [-4,4].

This is an example of Cluster random sampling.

Cluster sampling refers to probability sampling when the population is divided into multiple smaller groups, also called clusters, and then further sampling is performed to check the data.

Here we can see that the principal had selected 222 boxes randomly over here. This implies that she had taken a group of boxes randomly. Then she proceeded to check every t-shirt in this box.

Therefore here we see that the population i.e the boxes were divided into smaller groups. The 222 boxes are the clusters here. Therefore we can conclude that the principal uses the cluster random sampling method.

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Answer:

250

Step-by-step explanation:

4^4+400÷(4+6^2)−2^4

256 + (400 ÷(4+36) ) -16  

256 + (400÷40) -16

256+ (400 (1/40) ) -16

256 + (400/40) -16

256 + (2 · 6) -16

256 + 10 =16

250

(c) The worst-case running time of deleting the minimum element from a (min) binary heap with N elements is O(logN).

In a binary heap, the minimum element is always located at the root, which is the topmost element of the heap. When the minimum element is deleted, it needs to be replaced with a new element from the heap in order to maintain the heap property.

The process of replacing the root element and restoring the heap property is known as "heapify" or "heap-down." In the worst case, the replacement element may need to be compared and swapped multiple times with its children until it reaches its correct position in the heap.

Since the height of a binary heap is logarithmic with respect to the number of elements (N), the worst-case number of comparisons and swaps required during the heap-down process is proportional to the height of the heap, which is O(logN).

Therefore, (c) the worst-case running time of deleting the minimum element from a binary heap is O(logN).

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The sample size required is 182 families should be interviewed.

To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.

Sample size formula: n = (Z² * s²) / E²

The formula for the degree of confidence: Z = 2.576

Sample size formula: n = (Z² * s²) / E²

Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.

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When slave starting a disabled vehicle, the term that serves an important safety consideration is c. The slaving vehicle engine must be running while connecting the slave cable

The dead car is started while the live vehicle's engine is running by inserting a slave cable into the receptacle on each vehicle.

Vehicles with manual transmissions rely heavily on the clutch slave cylinder. When the pedal is depressed, the clutch is disengaged and the transmission is shifted thanks to the slave and clutch master cylinders.

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Answer:

Step-by-step explanation:

Use PEDMAS

125 ÷ (-5) * (-4) - 100 =  (-25) * (-4) - 100

                                  = 100 - 100

                                  = 0

Answer:

12

2

answer

hope it helps

Answer:

A

Step-by-step explanation

Answer:

20

Step-by-step explanation:

3/8* 32= 12

32-12=20

12 Girls

20 Boys

The correct inequality is: six x is greater than or equal to five.

To determine the minimum number of hours Julian needs to practice on each of the two days, we can set up an inequality.

Let x represent the number of hours Julian needs to practice on each of the two days.

We know that Julian has already practiced 5 and one third hours, which can be written as 16/3 hours.

So, the total practice time for the remaining two days would be 7 hours (the minimum number of hours he needs to practice each week) minus 16/3 hours.

Thus, the inequality would be:
2x ≥ 7 - 16/3

Simplifying the right side:
2x ≥ 21/3 - 16/3
2x ≥ 5/3

To get rid of the fraction, we can multiply both sides by 3:
3 * 2x ≥ 3 * 5/3
6x ≥ 5

Therefore, the correct inequality is:
six x is greater than or equal to five.

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The amount in the account after 6 years of continuous compounding at an interest rate of 3.3% per year is $121.820.

To find the amount in the account for continuous compounding, we can use the formula:

A = Pe^(rt)

where:

A = the amount in the account

P = the principal (starting amount)

e is a mathematical constant that is roughly equivalent to 2.71828.

r denotes the yearly interest rate

t = the time (in years)

Plugging in the given values, we get:

A = $100 x \(e^{0.033 * 6}\)

A = $100 x \(e^{(0.198)}\)

A = $100 x \(2.71828^{(0.198)}\)

A = $100 x 1.2182

A = $121.820

Therefore, the amount in the account after 6 years of continuous compounding at an interest rate of 3.3% per year is $121.820.

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18/ 3x+1 is  18x²-2/ 3x²-5x - 2}  in simplest terms.

What are examples of linear equations?

18 x² - 2 / 3x² - 5x - 2

3x² - 5x - 2 = 3x² - ( 6- 1 ) x - 2 = 0

                    ⇒  3x² - 6x + x - 2 = 0

                     ⇒  3x( x - 2 ) + 1 ( x - 2) = 0

                      ⇒ ( 3x + 1 ) ( x - 2 ) = 0

put in equation -

= 18 x² - 2 /  ( 3x + 1 ) ( x - 2 )

= 18/ 3x+1

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The second derivative is negative, the point (x, y) = (3, 7) corresponds to a local maximum on the curve.

To find the leftmost point on the curve defined by the parametric equations x = t² + 2t and y = t² - 2t + 3, we need to find the value of t that corresponds to this point. We can do this by analyzing the derivative of the curve with respect to t.

The leftmost point on the curve corresponds to the point where the slope of the curve is zero or undefined. This occurs when the derivative of y with respect to x is zero or undefined.

We can express y as a function of x by eliminating t from the given parametric equations. Solving for t in terms of x, we get:

t = -1 ± √(x + 1)

Substituting this value of t in the equation for y, we get:

y = (x + 1) ± 4√(x + 1) + 3

y = ±4√(x + 1) + x + 4

To find the leftmost point on the curve, we need to find the value of x that corresponds to this point. We can do this by finding the minimum value of x for which y is defined.

Differentiating y with respect to x, we get:

dy/dx = 1 + 2/√(x + 1)

Setting dy/dx = 0, we get:

1 + 2/√(x + 1) = 0

2/√(x + 1) = -1

Solving for x, we get:

x = 3

Note that this value of x is within the given range of -2 ≤ t ≤ 3. Therefore, the leftmost point on the curve is the point corresponding to t = 1.

To justify that we have found the requested point, we can analyze the second derivative of y with respect to x. The second derivative will tell us whether the point corresponds to a local minimum, local maximum, or inflection point.

Differentiating dy/dx with respect to x, we get:

d²y/dx² = -2/\((x + 1)^{(3/2)}\)

Substituting x = 3, we get:

d²y/dx² = -2/64

Since the second derivative is negative, the point (x, y) = (3, 7) corresponds to a local maximum on the curve. Therefore, we have found the leftmost point on the curve as requested.

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The question is -

Identify the requested point and justify that you have found the requested point by analyzing an appropriate derivative. x = t² + 2t, y = t² - 2t + 3, - 2 ≤ t ≤ 3 Leftmost point

A F-150 I gave a half-ton truck some thought because it can haul 1000 pounds and a ton is 2000 pounds.

The British imperial and American customary systems of measurement both utilize the pound as a unit of mass. The international avoirdupois pound, which is legally defined as exactly 0.45359237 kilograms and is divided into 16 avoirdupois ounces, is the definition that is currently most frequently used. The avoirdupois pound is denoted by the worldwide standard symbol, lb; alternate symbols include lb (for the majority of pound definitions), (mostly in the United States), and or (particularly for the apothecaries' pound). The currency came from the Roman libra (hence the abbreviation "lb"). The words "pound" in English and "pond" in Dutch and German are all cognates.

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9514 1404 393

Answer:

  B. Between 9% and 9.9%

Step-by-step explanation:

The equation for the sum of a series of monthly payments P earning interest rate r compounded monthly for t years is given by ...

  A = P((1 +r/12)^(12t) -1)/(r/12)

The number of years in this case is ...

  70 -18 = 52

We want to find r such that ...

  1,000,000 = 50·12((1 +r/12)^(12·52) -1)/r

  10,000/6 = ((1 +r/12)^624 -1)/r

We can try some values for r to see what may work.

r = 9%

  ((1 +.09/12)^624 -1)/.09 = 1165.60 . . . not quite enough

r = 10%

  ((1 +0.10/12)^624 -1)/0.10 = 176408 . . . > 1666.67

The required interest rate will be between 9% and 10%, option B.

_____

In general, finding the exact interest rate is an iterative process. A financial calculator can do it for you. The result is near 9.86%. The graph shows a solution using a graphing calculator.