Solve for x 10(2x-4)=100x
A.x=7
B. x=3
C.x=1/2
D.x=-1/2

Answer:

0.9517

Step-by-step explanation:

Answer:

x=0.95

Step-by-step explanation:

Decimal Form: x=0.95170283

\(\sf P=I^{2} R\)

\(\sf \dfrac{P}{R} =\dfrac{I^{2}R }{R} \\ \\\\ \dfrac{P}{R} =I^{2}\\ \\ \\I^{2}=\dfrac{P}{R}\)

\(\sf \sqrt{I^{2}} =\sqrt{\dfrac{P}{R}} \\ \\ \\I=\sqrt{\dfrac{P}{R}}, I=-\sqrt{\dfrac{P}{R}}\)

Here we get 2 different solutions since on the original formula the I is squared, therefore, it can really have both symbols and the same value and the equation will still return the same answer. For example, making I to be 5 or -5 will have a neutral effect on the equation, because the number will be squared and the symbol disappears.

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Answer:

D) all real number greater than or equal to 0

Step-by-step explanation:

pls mark brainliest

Based on the population mean's \(95\)% standard error, which is \((-10.962 d-0.001)\)

A population can be all the students at a certain school. All of the pupils enrolled at just that institution during the period of data gathering would be included. Data from all of these individuals is gathered based on the issue description.

The major trend discovered from the data sample is the sample mean. The population is used to create the sample data. In statistics, the sampling distribution is denoted by the letter "x." The population mean, on the other hand, is the average of all observations within a certain population or group.

\(0.025\) < p value <\(0.05\)

for \(95\)% CI; and \(6\) degrees of freedom, a value of \(t= 2.447\)  

therefore confidence interval=sample mean -/+ t*std error    

margin of error \(=t*std error=5.4808\)    

lower confidence limit \(= -10.9622\)

upper confidence limit \(= -0.0006\)

from above \(95\)% confidence interval for population mean \(=(-10.962\)\(<\)µd\(< -0.001)\)

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It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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Answer: $9.20

Step-by-step explanation:10 x 1.08 = 10.80. 20 - 10.80 is 9.20.

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

The probability of getting one head and the rest tails when flipping 5 fair coins is 0.156 or 15.6% to three decimal place accuracy.

To calculate the probability that one coin shows heads and the rest show tails, we need to use the formula:

P = (number of ways to get one head and four tails) / (total number of possible outcomes)

The total number of possible outcomes when flipping 5 coins is 2^5 = 32 (since each coin can either show heads or tails).

To calculate the number of ways to get one head and four tails, we can use the combination formula:

C(5,1) = 5

This means that there are 5 ways to choose which coin will show heads. Once we have chosen that coin, the other 4 coins must show tails. Since each coin has a 50/50 chance of showing heads or tails, the probability of this occurring is:

P = 5/32

Rounding to three decimal places, the probability is:

P = 0.156

Therefore, the probability of getting one head and four tails when flipping 5 fair coins randomly is 0.156 or 15.6%.

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Answer:

False

Step-by-step explanation:

I added a photo of my solution

The volume can be calculated by integrating the product of the circumference of each cylindrical shell, the height of the shell (corresponding to the differential element dx), and the function that represents the radius of each shell (in terms of x).

The integral can then be evaluated to find the volume of the resulting solid shape to the nearest hundredth. The region bounded by the x-axis, the y-axis, and the equation y = 4 - x^2 is a quarter-circle with a radius of 2. By rotating this region around the x-axis, we obtain a solid shape that resembles a quarter of a sphere. To calculate the volume using cylindrical shells, we consider an infinitesimally thin strip along the x-axis with width dx. The height of the shell can be determined by the function y = 4 - x^2, and the radius of the shell is the distance from the x-axis to the curve, which is y. The circumference of the shell is given by 2πy. The volume can be calculated by integrating the product of the circumference, the height, and the differential element dx from x = 0 to x = 2. This can be expressed as:

V = ∫(2πy) dx = ∫(2π(4 - x^2)) dx

Evaluating this integral will give us the volume of the resulting solid shape.

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Answer:

22.25

Step-by-step explanation:

178/8=22.25

Answer:

22.25

Step-by-step explanation:

178 divided by 8

Answer:

A) g(x) = 14x + 30

B) The last explanation

No, because her rate of change is $12 per week which is less than William's rate of change.  

Step-by-step explanation:

A:

At the beginning William as 30 dollars (0,30)  Week zero he has 30.  Then each week, his balance goes up 14 dollars

g(x) = 14x + 30  

B:

Jennifer's bank account is increasing by 12 dollars a week, but William's is increasing 14 dollars a week.

Answer:

Perpendicular segments

Step-by-step explanation:

Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

Answer:

-2x+3

Step-by-step explanation:

=-⅕(5 x + 20) - ¼(4x-28) <-- Distribute

=-x + -4 + -x +7 <-- Combine all like terms

=-2x+3

11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Hence option (B) is a correct choice and rest all other options are incorrect

1/b^2 ∑ (-1)^k(t^2/b^2)^k                                        
                             

Step-by-step explanation:

 Remember that the sum of infinite GP is given by the formula blow:
First term=a
Common ratio=r

S=a/1 - r                                          

Wherever the common ratio r falls within the interval (-1,1)

When the given series is compared to the infinite sum:

First term=a
Common ratio=r
S=  a/1-r = 1/b^2+t^2
Now given: |t| < |b|=0<t^2/b^2<1
S=1/B^2.1/1-(-T^2/B^2)
=A=1
R=-T^2/B^2
Writing the general form:

Hence option (B) is a correct choice.

What are real numbers simple definition?

Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. All the natural numbers, decimals and fractions come under this category.

INCOMPLETE QUESTION: if b and t are real numbers such that 0<|t|<|b|, which of the following infinite series has sum 1b2 t2
A) 1/b^2 ∑(t^2/b^2)^k.
B) 1/b^2 ∑(-1)^K(t^2/b^2)^k.
C)B^2∑(T^2/B^2)^K
D)b^2∑(-1)(t^2/b^2)^k

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The 30-foot distance between single-family residences in the Desert Vista subdivision is called a "setback" in development terms.

This setback ensures that the neighborhood maintains adequate spacing between homes for privacy, safety, and aesthetics.

The distance between single-family residences in the new Desert Vista subdivision in Mesa is known as the "setback" in subdivision development terms.

Setbacks are regulations that define the minimum distance a building, such as a single-family residence, must be located from property lines or other structures.

These regulations ensure adequate spacing between buildings for various reasons, including privacy, safety, and aesthetics.
1. The student question mentions that the distance between single-family residences in the new Desert Vista subdivision in Mesa is 30 feet.
2. In subdivision development terms, such a distance is referred to as a "setback."
3. Setbacks are important for maintaining privacy, safety, and aesthetics in a neighborhood.
4. These regulations ensure that there is enough space between buildings, preventing overcrowding and allowing for proper ventilation, sunlight, and access to emergency services.
5. Setbacks vary depending on the type of structure and local zoning laws, which determine the minimum distance required between buildings.

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To determine if two hexadecimal numbers can be consecutive in gray code, you need to convert them to binary and then compare their corresponding bits.

Gray code is a binary numeral system where two consecutive numbers differ by only one bit. Therefore, if two hexadecimal numbers can be consecutive in gray code, their binary representations must differ by only one bit as well. To convert a hexadecimal number to binary, simply convert each hexadecimal digit to its corresponding 4-bit binary representation. For example, the hexadecimal number 3A would be converted to 0011 1010 in binary.

Here is a step-by-step guide to determine if two hexadecimal numbers can be consecutive in gray code:
1. Convert the first hexadecimal number to binary. For example, if the first hexadecimal number is 3A, convert it to 0011 1010 in binary.
2. Convert the second hexadecimal number to binary using the same method as step 1.
3. Compare the corresponding bits of the two binary numbers. If there is only one bit that differs between the two binary numbers, then the original hexadecimal numbers can be consecutive in gray code.
4. If there is more than one bit that differs between the two binary numbers, then the original hexadecimal numbers cannot be consecutive in gray code.

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Answer:

I and II

Step-by-step explanation:

I: 10 is less than or equal to 2(11) - 1

10 <= 22 - 1

10 <= 21

10 is less than or equal to 21

solution

II: 10 is less than or equal to 2(8) - 1

10 <= 16 - 1

10 <= 15

10 is less than or equal to 15

solution

III: 10 is less than or equal to 2(3) - 1

10 <= 6 - 1

10 <= 5

10 is not less than or equal to 5

not a solution

Answer:

  an = 5/2 +3/2(n -1)

Step-by-step explanation:

The common difference is ...

  4 -5/2 = 3/2

The general rule is ...

  an = a1 +d(n -1)

For a1 = 5/2 and d = 3/2, the rule for this sequence is ...

  an = 5/2 +3/2(n -1)

___

This can be simplified to ...

  an = 1 +3/2n

Answer:

y-intercept: (0, -4)

x-intercept: (3,0)

Step-by-step explanation:

The given expression, 3⁶ × 3, written as a single power of 3 is 3⁷

From the question, we are to simplify the given expression to a single power of 3

From the given information,

The given expression is

3⁶ × 3

In order to write the expression as a single power of 3, let us revise some of the laws of indices

Now,

Applying the multiplication law of indices, the given expression

3⁶ × 3

can be written as

3⁶ ⁺ ¹

= 3⁷

Hence,

The expression written as a single power of 3 is 3⁷

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The side of each square in terms of y is y/16.

What is a perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Here, we have

The figure is made up of 10 identical squares. The perimeter is y cm.

The number of outer sides is 16

Let the side be x

then

16x = y

x = y/16

Hence,  the side of each square in terms of y is y/16.

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Answer:

Step-by-step explanation:

\(\frac{3x^3}{12x^{-2}} = \frac{x^5}{4}\)

Tyna's mistake was that , she miswrote x^-2 as x^2

A. Characteristics of Nigerian and Japanese Population Pyramids:

B. Challenges and Opportunities for Nigeria and Japan:

A. Characteristics of Nigerian and Japanese Population Pyramids:

Nigerian Population Pyramid:

Nigeria is a country in West Africa with a rapidly growing population. According to the 2017 estimate you provided, Nigeria had a population of approximately 201 million people.

The Nigerian population pyramid is likely to exhibit a broad base, indicating a high proportion of young individuals in the population.

There may be a relatively larger proportion of dependents, both young and old, compared to the working-age cohorts.

Gender disparities may exist within specific cohorts, potentially reflecting cultural or socioeconomic factors.

It is important to note that specific observations regarding the Nigerian population pyramid would require visual reference to the actual data and age cohorts.

Japanese Population Pyramid:

Japan, on the other hand, is a developed country in East Asia with a more mature population structure.

The Japanese population pyramid may exhibit a narrower base and a larger proportion of older individuals, indicating a declining birth rate and an aging population.

The working-age cohorts may be relatively smaller in comparison to the dependent cohorts, both young and old.

Gender disparities within specific cohorts may be less prominent compared to Nigeria.

Again, visual reference to the actual data is necessary for more accurate observations.

B. Challenges and Opportunities for Nigeria and Japan:

Nigeria:

Challenges: Nigeria's rapid population growth poses challenges in providing essential services such as healthcare, education, and infrastructure to meet the needs of a growing population. Additionally, high youth unemployment rates and income inequality can lead to social and economic challenges.

Opportunities: Nigeria's large and youthful population can be a potential demographic dividend if properly harnessed. Investing in education, skills training, and job creation can lead to increased productivity, innovation, and economic growth.

Japan:

Challenges: Japan's aging population presents challenges such as increased healthcare and pension costs, labor force shortages, and a decline in economic productivity. The shrinking working-age population may strain social welfare systems.

Opportunities: Japan can focus on technological advancements, automation, and attracting skilled foreign workers to address labor shortages. They can also encourage policies to enhance productivity and promote active aging to tap into the potential of older workers.

Please note that the challenges and opportunities described above are general observations and should be supplemented with specific data and research on the respective countries.

C. Rate of Natural Increase (RNI) and Ecological Impact:

Unfortunately, I don't have access to the specific table in the Bjelland textbook or the appendix you mentioned. However, I can provide some general information about the regions you mentioned:

South Asia: South Asia is one of the world's most densely populated regions. It includes countries like India, Pakistan, Bangladesh, and others. The RNI in South Asia is relatively high, indicating significant population growth. The ecological impact of the region depends on various factors such as resource consumption, industrial development, urbanization, and environmental policies.

East Asia: East Asia is home to densely populated countries like China, Japan, and South Korea. While China's population growth has slowed down due to its one-child policy, other countries in the region also face challenges related to aging populations. The ecological impact of East Asia depends on factors such as industrialization, urbanization, energy consumption, and environmental regulations.

Europe: Europe has a relatively low RNI and, in some countries, faces population decline or stagnation. The ecological impact of Europe depends on factors such as energy consumption, waste management, transportation systems, agricultural practices, and environmental policies.

Africa: Africa has the highest RNI among the regions mentioned. It is experiencing rapid population growth, which can have significant ecological impacts in terms of resource consumption, land use, urbanization, deforestation, and biodiversity loss. However, it's important to note that the ecological impact of a region is not solely determined by population size or growth rate but also by consumption patterns, technological advancements, and sustainable practices.

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Answer:

the right answer is

270 squared unit