Pls help!! Find the average rate of change of the function given over the interval

b is equal to 1

Step-by-step explanation:

I guessed and it came to be the right answer.

6+7b-7 = 5+b.

6+6b-7 = 5

6+6b=12

6b = 6

B= 1

Answer: 1 so it’s B

The values for R(detected), λ, and t into the equation, you can calculate the "true" count rate of your sample

To calculate the detected activity from the count rate due to background radiation and the sample of KCl, you can use the following equation:

R(detected) = R(total) - R(background)

In this equation, R(background) represents the count rate for background radiation, and R(total) represents the total count rate detected from your sample and background. By subtracting the count rate of background radiation from the total count rate, you can determine the detected count rate from your sample, R(detected).

To determine the "true" activity of your sample, you can use the following equation:

R(true) = R(detected) / (1 - exp(-λt))

In this equation, R(true) represents the "true" count rate of your sample, R(detected) represents the detected count rate from your sample, λ represents the decay constant of the radioactive isotope in your sample, and t represents the time during which the count rate is measured.

By plugging in the values for R(detected), λ, and t into the equation, you can calculate the "true" count rate of your sample, which represents the actual activity of the radioactive isotope in the sample.

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Complete question:

write a mathematical equations that show how you will calculate the detected activity from the count rate due to background radiation and the sample of KCl. also, write an equation that shows how you will determine the "true" activity of your sample. Use the following terms:

R(background) = count rate for background radiation

R(total) = total count rate detected from your sample and background

R(detected) = detected count rate from your sample less the background radiation

R(true) = the "true" count rate of your sample.

Answer:

-2 6/25

Step-by-step explanation:

First you take -11 1/5 and simplify the fraction into a decimal. -11 + (-0.20) = -11.2 Now you take the weight value (-11.2lbs) and divide that by the total month value (5 months): -11.2 / 5 = -2.24. Finally, you regroup the answer into a fraction again, so here's your answer: -2.24 = -2 6/25.

The relationship between the mean and median can provide information about the shape of the distribution and the presence of outliers.

The mean and median can be either close to the same value or very different from one another, depending on the distribution of the data.

If the data is approximately symmetric, with no extreme values, then the mean and median will be close to each other. In this case, the data is evenly distributed around the central tendency of the data, so both measures provide a similar representation of the central value.

However, if the data is skewed, with one tail longer than the other, or if there are extreme values (outliers) present in the data, then the mean and median will be different.

In this case, the mean is pulled in the direction of the skew or outliers, while the median remains unaffected.

As a result, the mean may not provide an accurate representation of the central tendency of the data.

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Answer:

. 28%

Step-by-step explanation:

I=Prt I = interest paid, P = principal r=rate t=term

33,829.50- 28500=5329.50 to get I

28500x r x 66=1,881,000r

5329.50=1,881,000r

5329.50/1881000=. 0028333 convert to % is .28%

Answer:

x -2,2

Y -4,3

z -4,6

w -2,6

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

Answer:

Function A has a rate of change of 5 and Function B has a rate of change of 4.5. Thus, Function A has a higher rate of change

Step-by-step explanation:

Answer:

515.

Step-by-step explanation:

40 x 12 = 480

480 + 35 =515

Answer:

The answer would be $515

Step-by-step explanation:

40x+35=t

40(12)+35=t

40 times 12 = 480

480 + 35 =515

If the money had been shared after Sarah's 7th birthday instead of now, she would have received an additional $12.95 because her share would have been increased from $54 to $66.95 based on the new age ratio of 8:7:4.

At present, James, Sarah, and Lucy have received $72, $54, and $36 respectively based on their age ratios of 8:6:4. If Sarah's birthday is in three weeks, then she would have turned 7 by then. So, the new age ratio would be 8:7:4. The total amount of money to be shared remains $180.

Therefore, the total parts for the new ratio are 8+7+4 = 19 parts.

The new share for Sarah is

(7/19) * $180 = $66.95 (rounded to the nearest cent)

So, if the money had been shared after Sarah's birthday, she would have received an additional $66.95 - $54 = $12.95.

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Answer:

Find the cube's volume first (because it's the simplest figure) by using the formula;

(Formula for vol. of cube)

V = \(s^{3}\)

Where 's' stands for one side of the cube raised to the power of three.

or

V = w · l · h

Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.

Plug in the values you know since they literally give it to you (I'll be using the formula \(s^{3}\));

V = \(s^{3}\)

V = 3^3 → (The symbol ' ^ ' means to the power of.)

V = 27, is the volume of the cube.

Now we find the volume of the pyramid using the formula;

(Formula for vol. of pyramid)

V = (l · w · h) · 1/3

Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.

Plug in the values you know using both the lengths from the cube and pyramid.

Length = 3

Width = 3

Height = 3(we won't use)

Height = 4

Use these to figure out the volume for the pyramid.

V = (l · w · h) · 1/3

V = (3 · 3 · 4) · 1/3

V = 36 · 1/3

V = 36/3

V = 12, is the volume of the pyramid.

Add your volumes:-

27(cube vol.) + 12(pyramid vol.)

= 39 is the volume for this whole solid, your answer is D.

Answer:

It is the last one

Step-by-step explanation:

There aren't enough angles

Answer:

V = 392 m³

Step-by-step explanation:

Volume rectangular prism

V = (1/3)AH

H is the height of the prism

A is the area of the base triangle

A = (1/2)bh

A = (1/2)(7)(24)

A = 84

V = (1/3)(84)(14)

V = 392 m³

The probability of selecting a heart or red Queen from the deck of cards is 1/2.

Total cards = 52

total red cards = 26

P(not selecting a red card)

= (52-26)/52

= 26/52

= 1/2

Total heart = 13

Total 2 = 4 (one for each club, diamond, heart, spade)

Total 2 of heart = 1

P(not selecting a 2 or heart) = (52 - 4 - 13 + 1)/52

= 36/52

= 9/13

Opportunity is the department of arithmetic concerning numerical descriptions of how probably an event is to arise, or how probably it's far that a proposition is genuine. The possibility of an occasion is a range of between zero and 1, where, more or less speaking, 0 shows the impossibility of the occasion and 1 indicates certainty.

The possibility is clearly how in all likelihood thing is to show up. each time we are uncertain about the final results of an event, we can talk about the probabilities of sure effects and how likely they're. The evaluation of activities governed via chance is known as statistics.

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Answer:

number is 3. it's very easy

Answer:

The meal cost $14.51 per person.

Step by step explanation:

Meal cost: 46.72

Sales tax: 8%

Then.

then we take out 8% of the value

Tip : 15% (meal and sales tax)

There are 4 people.

When two dice are rolled, the probability that the maximum of two numbers rolled is less than or equal to 2 is 1/9, the probability that the maximum of two numbers rolled is less than or equal to 3 is 1/4, the probability that the maximum of two numbers rolled is exactly equal to 3 is 5/36.

Let the sample space for rolling two dice be S = {(i, j)|i, j = 1, 2, 3, 4, 5, 6} where (i, j) represents the outcome of rolling the two dice.

A) To find the probability that the maximum of two numbers rolled is less than or equal to 2, follow these steps:

1. In this case, the maximum of the two numbers can only be 1 or 2. The pairs of dice that can give a maximum of 1 are (1, 1). The pairs of dice that can give a maximum of 2 are (1, 2), (2, 1), (2, 2).

2. Therefore, the probability that the maximum of two numbers rolled is less than or equal to 2 = 4/36 = 1/9.

B) To find the probability that the maximum of two numbers rolled is less than or equal to 3, follow these steps:

1. In this case, the maximum of the two numbers can be 1, 2, or 3. The pairs of dice that can give a maximum of 1 are (1,1). The pairs of dice that can give a maximum of 2 are (1, 2), (2, 1), (2, 2). The pairs of dice that can give a maximum of 3 are (1, 3), (2, 3), (3, 1), (3, 2), (3, 3).

2. Therefore, the probability that the maximum of two numbers rolled is less than or equal to 3 = 9/36 = 1/4.

C) To find the probability that the maximum of two numbers rolled is exactly equal to 3, follow these steps:

1. In this case, the maximum of the two numbers must be 3. The pairs of dice that can give a maximum of 3 are (1, 3), (2,3), (3, 1), (3, 2), (3, 3). Therefore, the number of pairs of dice that can give a maximum of exactly 3 is 5.

2. Therefore, the probability that the maximum of two numbers rolled is exactly equal to 3 = 5/36.

D) To find the probability that the maximum of two numbers rolled is less than or equal to x, follow these steps:

For part (b):

For part(c):

E)To find the probability that the maximum of two numbers rolled is exactly x, follow these steps:

1. In this case, the maximum of the two numbers rolled must be x, which is calculated in part D, subpart (c).

2. So, P(1) + P(2) + P(3) + P(4) + P(5) + P(6) =1/36+ 3/36+ 5/36+ 7/36+ 9/36+ 11/36= 1

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Using mathematical operations we know that 3 baskets will have the full amount of apples in them.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

Parentheses, Exponents, Multiplication and Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

So, we have:

16 1/2 and 4 1/4

Then: 33/2 and 17/4

Now,

33/2 ÷ 17/4

33/2 × 4/17

33 × 2/17

66/17

3.88

Since we need to find the number of baskets that will be full.

That will be: 3 baskets

Therefore, using mathematical operations we know that 3 baskets will have the full amount of apples in them.

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The polling organization contacted 2583 male university graduates with white-collar jobs to inquire about their recent raises in the past 4 months.

The polling organization reached out to a specific group of individuals: male university graduates who are employed in white-collar jobs. This targeted sample allows for a focused study on a particular demographic. By contacting 2583 individuals, the organization aims to gather a significant amount of data to draw meaningful conclusions.

The purpose of the survey is to determine whether or not these individuals received a raise at their workplace during the past 4 months. This information provides insights into the frequency and prevalence of salary increases among this specific group of male university graduates.

The results of the survey can be used to analyze trends, assess job satisfaction, and understand the economic climate for white-collar professionals.

It is important to note that without further information, such as the response rate or the methodology used, it is not possible to draw specific conclusions about the entire population of male university graduates with white-collar jobs. However, the survey serves as a valuable tool for collecting data and generating insights within the limitations of the sample.

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Answer:

She earns $246 each week.

hope this helps!!

Answer:

6.57 hours

Step-by-step explanation:

6.00 + 0.57= 6.57 hours

Answer:

42

Step-by-step explanation:

Use LCM of 6 and 7 to find a number that is the same:

6     12     18     24     30     36     42

7     14     21     28     35     42

Since 42 shows up in both, the 42th voter gets a button and sticker.

Hope this helped.

Answer:

I think this one will be D.  

TR=UR

Hope this helps :)

Answer:

Step-by-step explanation:

To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.

The area of the garden will be = 1512 square meters.

The formula for calculating the area of a rectangle.

Rectangle surface area. A = l × b.

Once the length and breadth of a rectangle are determined, the area is computed.

The area of a rectangle may be calculated by multiplying its length and width.

Let's assume the length of the garden is 6x meters and the width is 7x meters, where x is a positive value that we need to find.

From the given ratio, we have:

6x + 7x = 78

13x = 78

x = 6

So the length of the garden is 6 * 6 = 36 meters and the width is 7 * 6 = 42 meters.

The area of the garden can be calculated as: 36 * 42 = 1512 square meters.

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Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

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Answer: she can run \(6\dfrac54\) mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in \(\dfrac23\) of an hour = \(4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}\)

\(=\dfrac{29}{6}\) miles

Distance run by Jasmine in 1 hour = \(\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}\) miles.

\(=6\dfrac{5}{4}\)   miles.

Hence, she can run \(6\dfrac54\) mile sin 1 hour.

Answer:

18/25= 72%

Step-by-step explanation:

total writing utensils = 25

add red utensils ( 5 pencils + 9 markers) = 14 plus 4 markers = 18

18/25= 72%

a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.

a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.

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