Which set of graphs can be used to find the solution set to 3 log2(x + 4) < 6?

The slope is the ratio of the vertical change between two points the rise to the horizontal change between the same two points.The slope of a line is respresented with (\(x_{1}\),\(y_{1}\)) represents the first point whereas (\(x_{2}\),\(y_{2}\)) represents the second point.

we find the slope of the graph of the function at the specified point firstly we pick two points on the given line and determine the cordinates.find out the difference in y coordinates of two points and also find out the difference in x coordinates of two points ,than divided the difference in y coordinates by the difference in x coordinates.

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Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−  

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:

4.6 Kilograms.

Step-by-step explanation:

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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The equation, in slope-intercept form, of the line zw is y = x.

It is given that, equation of the line pq is:-

y = -x + 2

Also, line pq is perpendicular to line zw

zw passes through the point z (11,11).

We have to find the equation, in slope-intercept form, of the line zw.

The slope intercept form of a line is:-

y = mx + b

Where,

m represents slope of the line,

(x,y) represents every point on the line

b represents the y-intercept of the line

We know that, when two lines are perpendicular, the product of slopes of the lines is -1.

Let the slope of the line zw be m.

Hence,

m*(-1) = -1

m = 1

As it passes from the point z(11,11).

Hence, we can write,

11 = 1(11) + b

11 = 11 + b

b = 0

Hence, the slope intercept form of the line zw is y = x .

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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the inequality 4.25x ≤ 12 represents the amount of fabric Chase needs to buy, ensuring that he stays within his limit of 12 bookmarks.

To determine the amount of fabric Chase needs to buy, we multiply the number of bookmarks (x) by the fabric required per bookmark (4.25 inches). This gives us the total amount of fabric needed for x bookmarks.

Since Chase wants to make no more than 12 bookmarks, we set up the inequality 4.25x ≤ 12. This means that the product of 4.25 and x should be less than or equal to 12. By doing so, we ensure that the total amount of fabric required does not exceed the limit of 12 bookmarks.

Solving this inequality, we can find the maximum value for x, which represents the number of bookmarks Chase can make within the given fabric constraint. Dividing both sides of the inequality by 4.25, we have x ≤ 12/4.25.

Therefore, the inequality 4.25x ≤ 12 represents the amount of fabric Chase needs to buy, ensuring that he stays within his limit of 12 bookmarks.

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Answer:

Step-by-step explanation:

Answer:

\( \frac{x}{8} + 4 = 6\)

\( \frac{x}{8} = 2\)

\(x = 16\)

The number is 16.

The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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The z-score for which a total probability of 0.71 falls more than z standard deviations (in either direction) from the mean is -1.04 (rounded to two decimal places).

We need to find the z-score for which a total probability of 0.71 falls more than z standard deviations (in either direction) from the mean.

The given information can be represented as:

P(Z > z) + P(Z < -z) = 0.71

We know that the total probability for the standard normal distribution is equal to 1.

Therefore, we can rewrite the equation above as:

P(Z > z) + P(Z > z) = 0.71 ⇒ 2P(Z > z) = 0.71 ⇒ P(Z > z) = 0.355

Now, we need to find the z-score that corresponds to P(Z > z) = 0.355.

Using a standard normal distribution table, we can find the z-score that corresponds to this probability as follows:

z = -1.04 (rounded to two decimal places)

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The smallest possible value of doughnuts in each box is 2. The smallest possible value of doughnuts in each box is 2.

In order for Donna to rearrange the remaining doughnuts into bags so that each bag contains the same number of doughnuts and none are left over, the number of doughnuts in each box must be divisible by the number of bags. Since there are no doughnuts left over, this means that the number of doughnuts in each box must be a multiple of the number of bags.

To find the smallest possible value, we need to find the smallest common multiple of the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 (since there are 9 possible numbers of bags). The smallest common multiple of these numbers is 2, so the smallest possible value of doughnuts in each box is 2.Therefore, the smallest possible value of doughnuts in each box is 2.

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Answer:

use phototmath I promise it will help u even if I dont give u the answer

Answer:

If you look it up, it will tell u the answer

Step-by-step explanation:

The original cost was it before the sale will be £ 26.4.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

In a sale is 25% off all prices but cost £33 in the sale.

Then the original cost was it before the sale will be

Let x be the original cost.

Then we have

1.25x = £33

      x = £26.4

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Answer:

$20.01

Step-by-step explanation:

Simply subtract $29.99 from $50.00 so, your problem should be set up like this:

You substitute the numbers with 10s, but there cannot be more than one.

Answer:

$20.01

Step-by-step explanation:

You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:

50.00 - 29.99 = ?

Then, this is what you should have after:

49.91(0) - 29.99 = ?

This is what you get after:

20.01

Then, add the dollar sign. You will get:

$20.01

Hope it helped!

It is important in the definition of logarithm that the base of the logarithm does not equal 1 because log base 1 is undefined and leads to mathematical inconsistencies.

The logarithm of a number is defined as the exponent to which a specific base must be raised to obtain that number. However, when the base of the logarithm is equal to 1, the definition becomes problematic.

If the base of the logarithm is 1, we have log₁(x) = y, where 1^y = x. Since any number raised to the power of 0 equals 1, we would have 1^0 = x, which implies that x equals 1 for all values of x. This creates a contradiction, as it would suggest that all numbers are equal to 1, which is not true.

To avoid this inconsistency, the definition of logarithms excludes the base 1. By excluding 1 as a possible base, logarithmic functions maintain their essential properties, such as the logarithmic identities and the relationship between exponentiation and logarithms.

Therefore, the restriction that the base of the logarithm cannot equal 1 is necessary to ensure mathematical consistency and clarity in the definition of logarithmic functions. It helps prevent mathematical contradictions and allows logarithms to be defined in a meaningful and consistent manner.

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Answer:

We can evaluate the function f(2) to find its value:

f(2) = -3(2)^2 - 2 = -12

Therefore, the point (2, -12) is on the graph of the function.

To determine which graph represents the function, we need to look for a graph that contains the point (2, -12).

Out of the provided graphs, only graph (B) contains the point (2, -12). Therefore, graph (B) represents the function f(2) = -3(2)^2 - 2.

True, a probability/impact matrix or chart lists the relative probability of a risk occurring on one side of a matrix or axis on a chart and the relative impact of the risk occurring on the other.

A probability/impact matrix or chart is a useful tool in risk management and analysis.

It helps organizations evaluate and prioritize risks by considering their probability of occurrence and potential impact if they do occur.

The matrix/chart typically presents a grid or axis with different levels of probability and impact.

The probability of a risk refers to how likely it is to happen, while the impact represents the potential consequences or severity of the risk.

By plotting risks on the matrix/chart, organizations can visually assess and compare the risks based on their probability and impact.

This helps in identifying high-priority risks that require immediate attention and mitigation efforts.

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PESTLE framework is a tool used for analyzing an organization's macro-environment. The six main types of environmental factors are Political, Economic, Sociocultural, Technological, Legal, and Environmental.

True Economic forces are one of the types of influences analyzed in the PESTLE framework. False An organization's strength is not part of the types studied in the PESTLE framework. True The PESTLE framework is designed to provide a comprehensive list of influences on the possible success or failure of strategies. It is a useful tool for identifying opportunities and threats in the external environment of a company.

PESTLE framework is a tool used for analyzing an organization's macro-environment. It categorizes environmental influences into six main types that include Political, Economic, Sociocultural, Technological, Legal, and Environmental. The PESTLE framework is designed to provide a comprehensive list of influences on the possible success or failure of strategies. It is a useful tool for identifying opportunities and threats in the external environment of a company. The PESTLE framework can be used in conjunction with other tools, such as SWOT analysis, to gain a deeper understanding of an organization's position in the market.

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-1.63 standard deviations is below the mean of Joe

Standard Deviation: Standard deviation is a statistical measurement that looks at how far a group of numbers is from the mean. Put simply, standard deviation measures how far apart numbers are in a data set. This metric is calculated as the square root of the variance.

It is given that joe has a creativity score of 16. for this creativity test, the mean was 29 and the standard deviation was 8

Standard Deviation=8

Mean=29

Creativity Score=16

Standard deviation below the mean= (score-mean)/standard deviation

                                                           = (16-29)/8

                                                           = -1.63

-1.63 standard deviations is below the mean of Joe

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Answer:

9/10

Step-by-step explanation:

There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.

Whatever the first digit is, there are 9 ways to make the 2nd digit different.

Answer:

the answer is 17/12 all u have to do is change it into a mix fraction

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{17}{12}}}}}} \)

Step-by-step explanation:

\( \sf{ \frac{7}{12} + \frac{5}{6} }\)

Take the L.C.M of 12 and 6

To find L.C.M , first of all find the prime factors of each numbers.

12 = 2 × 2 × 3

6 = 2 × 3

Take out the common prime factors i.e 2 and 3

Also take out the other remaining prime factors : 2

Multiply those all prime factors and obtain L.C.M

L.C.M = Common factors × Remaining factors

= 2 × 3 × 2

= 12

\( \dashrightarrow{ \sf{ \frac{7 \times 1 + 5 \times 2}{12}}} \)

\( \dashrightarrow{ \sf{ \frac{7 + 10}{12}}} \)

\( \dashrightarrow{ \sf{ \frac{17}{12}}} \)

Hope I helped!

Best regards! :D

Answer:

5x-188-2x^x

Step-by-step explanation:

The probability that exactly 7 individuals are dropouts out of 35 is 0.0033288.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Given,

Probability of dropouts=p= 6%= 0.06

Probability of not dropouts=q=1-p=1-0.06=0.94

n=35

We use the probability mass function of binomial distribution, as there are only two possible outcomes for the given situation. If the individual is dropout or not a dropout.

P(X=x)= nCr x p^r x q^(n-r)

P(X=7)= 35C7x(0.06)^7x(0.94)^28

P(X=7)=6724520x(0.06)^7x(0.94)^28

P(X=7)=0.00332889

Therefore, the probability of exactly 7 of them are dropouts is 0.00332889.

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Answer:

8.5

Step-by-step explanation:

you cut them in half. when it says clicks per second it means per one second. so if you get 17 clicks in 2 seconds you just cut it in half.

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

C

Step-by-step explanation:

The square root of 45 is:

6.708

Meaning that C is the correct point.

Hope this helps! :)