14.89 divided by 0.02

Answer:

r = 44 cm

Step-by-step explanation:

The question has given us the circumference of circle O (88π cm) and asks us to calculate its radius (r).

To do this, we have to use the formula for the circumference of a circle:

\(\boxed{\mathrm{C = 2\pi r}}\),

where:

C ⇒ circumference of the circle

r ⇒ radius of the circle.

In order to calculate the radius from this formula, we have to substitute the value given for C into the equation, and then solve for r:

\(88 \pi = 2\pi \times r\)

⇒ \(r = \frac{88 \pi}{2 \pi}\)                [Dividing both sides of the equation by 2π]

⇒ \(r = \bf 44 \ cm\)

Therefore, the length of the radius of the circle is 44 cm.

The 60th term of the arithmetic sequence - 29, - 49, - 69 is - 1209.

An ordered collection of objects that allows repetitions is referred to as a sequence.

Consider the arithmetic sequence,

- 29, - 49, - 69

The common difference of the sequence is:

d = - 49 - ( - 29 ) = - 49 + 29 = - 20

The first term of the sequence is a = - 29.

The nth term of an arithmetic sequence  is given as:

aₙ = a + ( n - 1 )d where n is the number of term.

Therefore, the 60th term of the sequence will be:

aₙ = a + ( n - 1 )d

a₆₀ = - 29 + ( 60 - 1 ) × - 20

a₆₀ = - 29 + 59 × - 20

a₆₀ = - 29 + 59 × - 20

a₆₀ = - 29 - 1180

a₆₀ = - 1209

Hence, the 60th term of the arithmetic sequence is - 1209.

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A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.

B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.

A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.

Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.

B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.

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Answer:

20 > -1

Step-by-step explanation:

Well 20 is a positive integer that is 20 units from 0 whereas -1 is a negative integer that is 1 unit behind zero.

Answer:

ratios, fractions, statistics, and percentage increase or decrease.

Step-by-step explanation:

Answer:

The answer is 5.05

Step-by-step explanation:

Let the number be x,

5/9 = 0.56

Now,

x × 11/100 = 5/9

x = 5 × 100 ÷ 9 × 11

x = 500/99

x = 5.05

Thus, The number is 5.05

-TheUnknownScientist 72

A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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When x0 x 0, log x is NOT defined (undefined). As a result, when x is in [(−∞,0]), log x is undefined.

1)  We are aware that only when x is positive is a logarithmic function, log x, defined. i.e., x>0 . Therefore, when x0 x 0, log x is NOT defined (undefined). As a result, when x is in [(−∞,0]), log x is undefined.

2) Order from smallest to largest:

     \(log^{200}_{20} < log 100 < log^{5}_{40} < log^{3}_{60} < log^{2}_{16}\)

3)

           \(\(2A=A(1+\frac{0.09}{52})^{n}\\\\ 2=(1+\frac{0.09}{52})^{n}\\\\ log2=log(1+\frac{0.09}{52})^{n}\\\\ log2=nlog(1+\frac{0.09}{52})\\\\ n=log2\div log(1+\frac{0.09}{52})\\\)\)

log(2)/log(1+0.09/52 = 400.831511360387616 weeks

400.831511360387616/52 = 7.708298295392069538

7.7 years

Hence, It take 7.7 years for deposit to double.

4)

a)

          \(S= 86 \ log d+112\\\\S= 86 log 50 +112\\\\S = 86*1.7+112\\\\S= 258.2\)

          S = 258.2 mph

b)

S = 258.2 mph ;  find d

258 =86 log10 (d) + 112

146 = 86 log10 (d)

 1.7 = log10 (d)

 d = 50.118

Change from Log Form to Exponential Form

50.118 miles = d   Rounded is 181 miles

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Answer:

-15

Step-by-step explanation:

Step 1: Multiply 3 by both sides

3(2/3x)=3(-10)

Step 2: Simplify

2x=-30

Step 3: Divide both sides by 2

2x/2=-30/2

Step 4: Simplify

x=-15

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In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.

A percentile is a measure that indicates the relative position of a particular value within a dataset.

For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.

Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.

A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.

To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.

Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:

1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.

2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.

3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.

4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.

5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).

Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.

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Answer:

it is possible that we have a lot more of the polynomial

Answer:

y=−9/2x+11

Step-by-step explanation:

Answer: Each adult’s meal costed $15

Step-by-step explanation:

This situation can be modeled by the following equation:

2a + 3c = 42, where a = the cost of an adult’s meal, and c = the cost of a child’s meal

Since we know from the problem that a child’s meal costs $4, we know c:

2a + 3(4) = 42

At this point, we can just solve the resulting equation for a:

2a + 3(4) = 42

= 2a + 12 = 42 (simplify 3(4))

= 2a = 30 (subtract 12 from both sides)

= a = 15 (divide both sides by 2)

So, the cost of each adult’s meal was $15.

A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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Answer:

No solution

Step-by-step explanation:

The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.

The probability of the spinner's point landing on yellow is 30.56%.

A pie graph is a type of chart which displays data in the form of a circular graph.

We understand that the total value of the pie is always 100%. It is also understood that a circle will have a circumference of 360°. As a consequence, the total of all data points equals 360°. There appear to be two main pie chart formulas based on these:

When a circle is completely rotated, it forms a 360-degree angle in the center.

The overall percentage of all colors is 100%.

Because 360 degrees / 100 percent = 3.6, divide the valuation of yellow by 3.6.

The total percentage of yellow displayed by the spinner's pointer is 110%.

P (probability of landing on yellow) = 110/3.6

P (probability of landing on yellow) = 30.555... = 30.56 (approx.)

As a result, the probability of the pointer landing on the yellow is 30.56%

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The length of 75cm converting to inches is 29.53 inches.

The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.

Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.

In this case, 75 cm divided by 2.54 results in 29.53 inches.

The length of 75 cm is equivalent to approximately 29.53 inches.

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Answer:

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

Answer:

you equate 7x -2 with 4x+4

ie 7x - 2 = 4x + 4

collect the like terms

7x-4x = 4 + 2

3x= 6

x = 2

Answer:

x = 4

Step-by-step explanation:

lol uggujkvjvvjvvjvvjjjvvjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvujuuuuuuuu

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

Answer:

6.1

Step-by-step explanation:

anything 5 and over you round to one, so .08 turns into .1 :) glad i could help

The given decimal number is rounded to the nearest tenth as 6.1.

The given decimal number is 6.08.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Here, in 6.08 digit in the hundredths place is 8, which is greater than 5.

So, the digit in the tens place increased by 1 and digits after tens place becomes zero.

That is, 6.10

Therefore, the given decimal number is rounded to the nearest tenth as 6.1.

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Answer:

I am pretty sure it is B

Step-by-step explanation:

1169 sq.rt.=34.190642

34.190642 times 4 =136.7

round to 137

Answer:

i think its $0.20

Step-by-step explanation:

 12                 1

------      =   ---------

 2.49          0.20

1 egg = $0.20

Here is how it is graphed:

Answer:

$34

$26.5

Step-by-step explanation:

Membership cost per month = $25

Price of a slice of pizza for members= $1.50

How much would Aaliyah have

to pay the pizza shop if she bought 6 slices of pizza this month

Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza

= $25 + $1.50(6)

= $25 + $9

= $34

What would be the

monthly cost for a slices of pizza

Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza

= $25 + $1.5

= $26.5

Answer:

Monthly cost for 6 slices: 25+1.50(6)=34

Monthly cost for x slices: 25+1.50x

hope this helps

Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

The median of the data set would be affected as the median points per game decreases. That is option C.

The median of a data set is defined as the value of a data set the is found in the middle of a data after it has been arranged in an ascending order.

The first number line plots points per game;

= 16, 17 ,18 ,19 ,20 ,21 = 18+19 = 37/2 = 18.5

The second number line plots points per game;

= 21, 22, 23, 24 = 22 + 23 = 45/2 = 22.5

The third number line plots points per game:

= 9 points through 35 points

= 22 as the median.

Therefore, the scores of the next two games led to a decrease in the median determined per game point.

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Significant digits, also known as significant figures, refer to the digits in a quantity that are considered to be reliable and meaningful based on the precision of the measurement.

The significant digits in a given quantity include all the digits that are known with certainty, as well as one uncertain digit that is estimated based on the measurement's precision.

For example, if the length of a table is 1.23 metres, the digits "1," "2," and "3" are all significant, whereas the digit "0" is not significant because it is just a placeholder.

The number of significant digits in a number is determined by the measurement instrument or method used.

For example, if you use a centimeter-marked ruler to measure the length of a table, you can estimate the length to the nearest millimetre, implying that the last digit is uncertain and estimated. Because you have three certain digits and one estimated digit, the number of significant digits in this case is three.

When performing mathematical operations on numbers with varying numbers of significant digits, the result should be rounded to the same number of significant digits as the least precise measurement. This is necessary to maintain the calculation's accuracy and precision.

Understanding significant digits is essential for precise scientific measurements and calculations. It can aid in the prevention of errors and the production of reliable and meaningful results.

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Measuring length and width can determine if the center section is within specification. The given statement is insufficient to be determined as true or false as the statement doesn't specify the length and width of what is being measured.

Therefore, we can not provide the required answer without knowing the complete question. Hence, we need further information on the complete statement. In technical terms, specifications are a set of specifications and requirements that a product, materials, service, or system must meet. Specifications are developed to ensure that products, systems, or services are consistent, trustworthy, and meet the needs of the end-user. Therefore, specifications play a crucial role in ensuring the quality and reliability of a particular product or service. It also helps to determine whether a product or service meets the required safety and performance standards or not.

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