Solve for x .

23≥3x−4 or 32<3x−4
Responses

9 12 or x≤9

Evaluation of logarithm is [tex]log_{64}4 = \frac{1}{3}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as [tex]log_{a}x[/tex] .

where, a is the base of function or equation

           x define expression

Mathematically, if [tex]a^x = N[/tex] is an exponential function then, this can be converted to logarithmic function as  [tex]log_aN = x[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms :

According to statement,

[tex]log_{64}4\\[/tex]

this equation can be written as

[tex]log_{2^6} 4 \\= > \frac{1}{6}log_24 \\\\ = > \frac{1}{6}log_2{2^2}\\\\= > \frac{1}{6}2log_2{2}\\\\= > \frac{1}{6}. 2 = \frac{1}{3}[/tex]

Thus solution for this equation is [tex]log_{64}4 = \frac{1}{3}[/tex]

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Answer:

2 is to 4

Step-by-step explanation:

when u comnbkdkd the osapkbdbd

Answer:

Step-by-step explanation:

Answer: 2/31

Explanation: When doing this question, it is best to make a chart with all the possibilities. From there, look and see which possibilities cannot get a change of a dollar to get the answer.

Answer:

The polls were open for 9 hours on election day.

Step-by-step explanation:

10167 - 6504 = 3663

3663 / 407 = 9

Answer:

[tex]y = 3x -2[/tex]

Step-by-step explanation:

Step 1) Find two points from the graph to work with

I would personally use the points (0, -2) and (1, 1) as they are the most comfortable to work with from the given graph.

Step 2) Find the slope

A function's slope is given by the formula:  [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We can now substitute the coordinates of the points we found in Step 1 in the formula to find the function's slope.

[tex]m = \frac{1 - (-2)}{1 - 0} = \frac 31 = 3[/tex]

Step 3) Find the line's equation

Finally, we can substitute the slope we found in Step 2, as well as one of the points we found in Step 1, into the formula [tex]y - y_1 = m(x - x_1)[/tex] to find the line's equation.

[tex]y - 1 = 3(x - 1)\\\to y - 1 = 3x - 3 \text{ / Add 1}\\\to y = 3x -2[/tex]

Step-by-step explanation:

this is about the overall slope of the mountain road.

remember, the slope is (y change / x change). in this case it is elevation change / distance change.

getting from 2 to 4 miles the changes are

distance changes by +2

elevation changes by + 700 (from 5500 to 6200).

the slope is +700/+2 = 350/1 = 350.

the road begins at distance = 0.

the elevation of the begin of the road = x.

so going from 2 miles down again to 0 the changes are

distance changes by -2 (from 2 to 0)

elevation changes by x - 5500 (from 5500 to x).

the slope there must be the same as the slope further up (as it is said it has a constant rate) :

(x - 5500)/-2 = 700/2

(5500 - x)/2 = 700/2

5500 - x = 700

x = 5500 - 700 = 4,800 ft

the road started at an elevation of 4,800 ft above sea level.

Answer:

[tex]g(x) = f(x + 5) + 2[/tex], or [tex]g(x) = | x + 5| + 2[/tex]

Step-by-step explanation:

To shift f(x) left 5, we should add 5 to x.
That way, each value of the new function takes the value of 5 tiles right in the original function.

So far, we have [tex]g(x) = f(x + 5)[/tex].

We also need to shift it up 2, therefore, we should add 2 to every y value.

Therefore, we have [tex]g(x) = f(x + 5) + 2[/tex].

Answer:

x = 17

Step-by-step explanation:

x - 7 = 10

17 - 7 = 10

The depth is 0.884 feet when the water flows at 40 ft. / s and the depth is 0.442 feet when the water flows at 20 ft. / s.

We are given the function:

v(x) = √2 g x

where v = velocity

g = gravity's acceleration

x = height / depth of water

Also, we are given that g = 32 ft. / s²

Now, we have v = 40 ft. / s

So, we get that:

40 = √ 2 (32) x

40 / 32 = √ 2 x

5 / 4 = √2 x

x = 5 / 4√2

x = 0.884 feet.

Now, we have v = 20 ft. / s

So, we get that:

20 = √ 2 (32) x

20 / 32 = √ 2 x

5 / 8 = √2 x

x = 5 / 8√2

x = 0.442 feet.

Therefore, we get that, the depth is 0.884 feet when the water flows at 40 ft. / s and the depth is 0.442 feet when the water flows at 20 ft. / s.

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Answer/Step-by-step explanation:

8x - 6y = 6

-8x -8x

-6y = -8x + 6

÷-6 ÷-6 ÷-6

y = (4/3)x - 1

Point 1: (0, -1)

Point 2: (3, 3)

Point 3: (6, 7)

I hope this helps!

Answer: 4.9 years old

Step-by-step explanation: it’s the ages added up divided by the total (to find the average)

Answer:

hiya not sure of this is right but I would add all the dots up so with 3 add 3+3+3+3+3. because there is 5 dots do this with all of them and then divided by the amount of dots hope this helps

answer 4.9

Answer:

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Step-by-step explanation:

According to the linear equation, he has to sold 50 products to collect a amount of 5000 rs.

According to the statement

We have to find that the value of the products he sold.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

Chip earns a base salary of $500 per month as a salesman. In addition to the salary, he earns $90 per product that he sells. If his goal is to earn $5000 per month.

Then

The equation become

90x + 500 = 5000

Here x is the product he sold

Then

90x + 500 = 5000

90x  = 5000 - 500

90x = 4500

x = 4500/90

x =  50.

So, According to the linear equation, he has to sold 50 products to collect a amount of 5000 rs.

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Answer:

Negative.

Step-by-step explanation:

Adding B to A brings the total below zero. making it negative.

The preferred measure of central tendency for the following data is Mode.

Given,

Number of males = 57

Number of females = 23

The preferred measure of central tendency for the given data is Mode.

Mode

The mode is the number in a set of numbers that appears the most often. The mean of a set of numbers is the sum of all the numbers divided by the number of values in the set.

To find the mode manually, arrange the numbers in ascending or descending order, then count how often each number appears. The number that appears most often is the mode. It's now easy to see which numbers appear most often

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Answer:

[tex] \sf \huge \fbox{{No}}[/tex]

Step-by-step explanation:

Consider an event or an competition is going on. two competetors (let A & B) are racing with each other to win something. Let's see what are the possible events that can occur,

Event 1- Competetor A wins the race against B

Event 2- Competetor B wins the race against B

Event 3- Match draw, either both of them are winner or none of them are winner.

So there are three possible events that can occur & we know that total probability always equals one, let's calculate the probability for each event individually.

The probability of occuring each event is equal, hence,

[tex] \sf Probability \: of \: winning \: p(w)= \frac{1}{3} [/tex]

[tex] \sf Probability \: of \: losing \: p(l)= \frac{1}{3}[/tex]

[tex] \sf Probability \: of \: match \: draw \: p(d)= \frac{1}{3}[/tex]

Now,

the sum of probability of winning & probability of losing,

[tex]p(w) +p(l) = \frac{1}{3} + \frac{1}{3} = \frac{2}{3} ≠1[/tex]

Hence, the result is contradiction to the statement the probability of winning plus the probability of losing always equal 1.

[tex]\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}![/tex]

Answer:almost everywhere.

Step-by-step explanation:

Using the Laws of Detachment and Syllogism, the conclusions can be described as follows:

1. Invalid.

2. Law of Syllogism.

3. Law of Detachment.

4. Invalid.

For item 1, the events are given as follows:

Neither of the laws are reached in the conclusion, hence we have an invalid conclusion.

For item 2, the transitive property was applied correctly, hence the Law of Syllogism was used.

For item 3, p and p -> q are true, then we concluded that q is true, hence the Law of Detachment was used.

For item 4, we have an invalid conclusion, as we have p -> q and q, but no conclusion can be reached regarding p.

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Answer:

A) -1 B) -3 C) -7

Step-by-step explanation:

A) -2(-1)-3=2-3=-1

B) -2×0-3=0-3=-3

C) -2×2-3=-4-3=-7

The numeric value at x = 12 for the given piecewise function is:

g(12) = 10.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. For example, to find f(12), we replace each instance of x by 12.

From the piecewise function given in the problem, the definition for x = 12 is given by the following rule:

g(t) = 5t/6.

Hence the numeric value is:

g(12) = 5 x 12/6 = 5 x 2 = 10.

The numeric value at x = 12 for the given piecewise function is:

g(12) = 10.

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The volume of crater is 0.0375 km³.

We are given the diameter of crater which is 1 kilometer. Now, the formula to be used for calculation of volume is -

d = 2∛(V÷0.3)

Keep the value of diameter in the formula to find the volume of crater -

1 = 2∛(V÷0.3)

Dividing both sides of the equation by the number 2

1/2 = (2∛(V÷0.3))/2

Solving the equation we get -

0.5 = ∛(V÷0.3)

Taking cube on both sides of the equation

0.5³ = (∛(V÷0.3))³

On solving we get

0.125 = V÷0.3

Shifting 0.3 to numerator on Left Hand Side of the equation

V = 0.125×3

Performing multiplication on Right Hand Side on the equation

V = 0.0375 km³

Hence, the volume of crater is 0.0375 km³.

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[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{0}) \implies y +2= 3 (x -0) \\\\\\ y+2=3x\implies y=3x-2[/tex]

Translation of y=2/x that has the given asymptotes. x=-2 and y=3 will be y = 2 / (x+2) + 3

An asymptote is a line that a graph of a curve continuously approaches but never crosses. Discover the meaning of asymptotes, read a detailed explanation, and learn about the three different asymptotes: vertical, horizontal, and oblique.

The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.

As, x=-2, the vertical asymptote will be (x+2)

y=3, the horizontal asymptote will be 3.

The equation will be -

y = 2 / (x+2) + 3

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The answer to this question is log₁.₅ 2.5 = 3

A logarithm is the degree to which a number must be raised in order to produce another number. For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 10² = 100.

Let y = log₁.₅ 2.5

We know, logₐ x = y, only if  a^y= x

Therefore, 1.5^y= 2.5

So, we must find an integer y such that 1.5 &gt; 2.5

1.5^y &gt; 2.5

1.5^3 &gt; 2.5

(As, 1.5² = 2.25; 1.5³ = 3.375)

(Since, 1.5² &lt; 2.5, the answer will be 1.5³, as 1.5³ &gt; 2.5)In this case, y = 3 will be the least integer to satisfy this inequality.

Therefore, the the value of the equation log₁.₅ 2.5 is 3

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The average number of callers in the call centre is 112.5.

Number of callers received by the call centre per minute = 25

Average time each person spends on hold = 1 minute

Average time each caller spends talking = 3.5 minutes

The total amount of time of spending by each caller in the call centre is,

= Time spend on hold + Time spend on talking

= 1 + 3.5

= 4.5 minutes

The total amount of time spent by each caller in the call centre is 4.5 minutes.

The average number of callers in the call centre is,

= Total time spent in the call centre × Number of callers per minute

= 4.5 × 25

= 112.5

Therefore, the average number of callers in the call centre is 112.5.

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All of the statements are true.

- They often will have the independent variable on the x-axis and the dependent variable on the y-axis.

- They can be used for density curves.

- They are often used to indicate continuity in the data. (i.e. no gaps)

- They are always straight lines.

A line graph is a type of chart used to show information that changes over time.

We have,

- They often will have the independent variable on the x-axis and the dependent variable on the y-axis.

This statement is true because the independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

- They can be used for density curves.

A density curve is a graph that shows probability.

This statement is true.

- They are often used to indicate continuity in the data. (i.e. no gaps)

Line graphs can be used for continuous data on the y-axis since continuous data are measured on a scale with many possible values.

This statement is true.

- They are always straight lines.​

We plot line graphs using several points connected by straight lines.

This statement is true.

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From the stem-and-leaf plot, and statistical concepts such as mean, median and IQR, we have that:

a) The distribution of Juniors is right skewed, while the distribution of Seniors is left skewed.

b) Since the distribution is skewed, Wyatt is not correct, as the better measure of center is the median.

c) Wyatt is correct that there are no outliers in the juniors' data-set, as there are no measures that are more than 1.5 IQR below Q1 or above Q3.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

From the graphed plot at the end of the answer, the Junior's measures are given as follows:

112, 121, 125, 132, 134, 135, 146, 156, 195, 200.

The Seniors' measures are given as follows:

123, 166, 172, 175, 183, 186, 191, 194, 197, 201.

To classify the shape of a distribution, we have to find the mean and the median, which are defined as follows:

Then the classifications are given as follows:

For Juniors, we have that:

Hence the distribution is right skewed, as mean > median.

For Seniors, we have that:

Hence the distribution is left skewed, as median > mean.

For item b, we have that:

Since the distribution is skewed, Wyatt is not correct, as the better measure of center is the median.

For juniors' data-set, we have that:

The bounds for outliers are given as follows:

Hence, for item c:

Wyatt is correct that there are no outliers in the juniors' data-set, as there are no measures that are more than 1.5 IQR below Q1 or above Q3.

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Answer:

1230 minutes

Step-by-step explanation:

All you have to do is multiply 20.5 times 60. Since 60 minutes are in an hour and there is 20.5 hours.

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