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Answer K= 20/x

Step-by-step explanation:

The value of k in the given linear equation is 20.

A linear equation is an equation where the variable (or variables) has the highest power of one.

Given,

310 - (30 × 7)=5 × k

⇒ 310 - 210 = 5k

⇒ 5k = 100

⇒ k = 100/5 = 20

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Answer:

that's 3 unit s so because it's 3.5 but round it up and u get 3

Given, the logarithmic expression is \($$\log (4)+\frac{1}{2} \log (x-3)-7 \log (x)-8 \log (x+1)$$\)Using the properties of logarithm,

we can expand the above expression as follows:

\($$\begin{aligned}\log (4)+\frac{1}{2} \log (x-3)-7 \log (x)-8 \log (x+1)&= \log (4)+\log \sqrt{x-3}-\log x^7-\log (x+1)^8\\&=\log 4+\log(x-3)^{\frac{1}{2}}-\log x^7-\log (x+1)^8\\&=\log 4+\log \sqrt{x-3}-\log x^7-\log (x+1)^8\\&=\log 4+\frac{1}{2} \log (x-3)-7 \log x-8 \log (x+1)\\ \end{aligned}$$\)

The equivalent expression of the given expression is

\($ \log 4+\frac {1}{2} \log (x-3)-7 \log x-8 \log (x+1).$\)

Now, we have to simplify the following logarithmic expression.

Using the properties of logarithm,

we can write the above expression as follows:

\($$\begin{aligned}\log \left(\frac{4 \sqrt{x-3}}{x^{7}(x+1)^{8}}\right)&=\log 4+\log(x-3)^{\frac{1}{2}}-\log x^7-\log (x+1)^8\\&=\log 4+\frac{1}{2} \log (x-3)-7 \log x-8 \log (x+1)\end{aligned}$$\)

The equivalent expression of the given expression is

\($\log 4+\frac{1}{2} \log (x-3)-7 \log x-8 \log (x+1).$\)

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The correct option is A) 9∕8, evaluating the exponent expression with a = -2 and b = 3, we find that the value is -8.

We are given the expression a^b, where a = -2 and b = 3. Substituting these values into the expression, we have (-2)^3.

To evaluate this expression, we raise -2 to the power of 3. When we raise a negative number to an odd power, the result will be a negative number.

So, (-2)^3 will yield a negative value.

Calculating (-2)^3, we multiply -2 by itself three times: (-2) × (-2) × (-2). This equals -8.

Therefore, the correct option is A) 9∕8 and the value of the exponent expression (-2)^3 is -8.

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Answer:

I’m confused

Step-by-step explanation:

but ok?

The measure of the missing angles are

x = 135°

y = 45°

An Octagon is a polygon that has eight sides

To calculate the measure of the missing angle in the octagon, we use the formula below

Formula:

Where:

From the diagram,

Substitute these values into equation 1

Also,

Substitute the value sof x into equation 2

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The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

25 in^2 or inches squared

Step-by-step explanation:

5 in * 5 in = 25 in^2 (inches squared)

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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The range of y = log subscript 8 baseline x is all real numbers.

The range is a set of all the defined values of y-correspond to the domain. In this case, to find the range of the function y = log subscript 8 baseline x, we need to draw the graph of the function.

The graph is attached.

Now, because of the base of the logarithm is 8 > 1; so, the graph is raising and passes through the point (1,0).

So, the domain of this function is:

x > 0

And, the range of this function is:

y ∈ (–∞,∞)

or all real numbers.

Hence, the range of y = log subscript 8 baseline x is all real numbers.

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Answer:

All real answers

Step-by-step explanation:

edge

Answer:

196 miles

Step-by-step explanation:

To find the distance that the bus drives, we can use the formula:

distance = rate x time

where rate is the average speed and time is the duration of the trip.

In this case, the average speed of the bus is 56 mph and the duration of the trip is 3 1/2 hours. However, it is easier to work with time in terms of a single unit, so let's convert 3 1/2 hours to 7/2 hours:

3 1/2 hours = (2 x 3) + 1/2 hours = 7/2 hours

Now we can plug in the values into the formula:

distance = rate x time

distance = 56 mph x 7/2 hours

We can simplify by multiplying 56 by 7 and then dividing by 2:

distance = (56 x 7) / 2 = 196 miles

Answer: 0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

to divide the fraction we will multiply by its reciprocal

-6/1 x -8/3=+16

Answer: It's 50

Step-by-step explanation:

3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.

Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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Answer:

three  consecutive numbers that add up to 84 are 27,28 and 29

Step-by-step explanation:

27+28=55

55+29-=84

Yooo, me too! Cheese is life

Answer:

-47

Step-by-step explanation:

10 -9 x 5 + 6 x ( -2 )

10-45+6 x -2

10-45-12

-35-12

-47

Answer:

x=6

Step-by-step explanation:

2x+5x=7x 42/7=6

Answer:6

Step-by-step explanation:42-2x=5x

you have to get add two x to both sides to get 42=7x then divide by 7

42/7=6

7/7=x

so 6=x

hope that helps

The height of the rocket is given by the function y = 30t - 5t^2, where y is in meters and t is in seconds.

What does function mean in maths?

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The input is commonly called the argument and the output is commonly called the value of the function.

We know that the distance between the observer and the rocket is the square root of the height of the rocket squared plus the distance from the observer to the launch point squared.

r = sqrt(y^2 + d^2)

To find the derivative of r with respect to time, we will use the chain rule.

dr/dt = (dr/dy)(dy/dt)

First, we will find dy/dt. Using the power rule for derivatives, we have:

dy/dt = 30 - 10t

Now, we will find dr/dy. Using the definition of r and the power rule, we have:

dr/dy = 1/sqrt(y^2 + d^2)

Now, we can substitute these values into our original equation for dr/dt:

dr/dt = (1/sqrt(y^2 + d^2))(30 - 10t)

We can now substitute the equation for y into this expression:

dr/dt = (1/sqrt((30t - 5t^2)^2 + d^2))(30 - 10t)

simplifying the above expression

dr/dt = (30t-5t^2)(30-10t)/sqroot(30t-5t^2)^2+d^2

So the expression for the derivative of the distance between the observer and the rocket with respect to time is (30t-5t^2)(30-10t)/sqroot(30t-5t^2)^2+d^2

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Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.

From the attached box plot we have,

Box plot always shows,

First Minimum → Lower quartile → Median → Upper quartile → Maximum

The minimum salary for an actuary is equals to

Approximately 35 dollars

And the median salary for a CPA from the box plot is equals to,

Approximately 60 dollars

Here , by comparing the both the values we have,

Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).

The median salary for a CPA is typically higher than the minimum salary for an actuary.

Therefore, Asaad representing median salary makes more money than Amahle .

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The above question is incomplete, the complete question is:

Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?

Box plot is attached.

Answer:

answer of 1st picture

second is not under standing much

Answer:

360 inch^3

Step-by-step explanation:

Volume of 1 box = 1 x 1 x 9 = 9 inch^3

Volume of 40 boxes = 40 x 9 = 360 inch^3

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Answer:

360 in

Step-by-step explanation:

L × W × H

1 × 1 ×9 = 9in

9 × 40 = 360 in

In rapidly changing markets, the introduction of new technologies and various external factors such as social, environmental, and political reasons are driving changes in competitive offers and value propositions.

The marketplace is dynamic and constantly evolving, influenced by a variety of factors. One significant driver of change is the introduction of new technologies.

Emerging technologies have the potential to disrupt existing industries, revolutionize business models, and create new opportunities for competitive offers and value propositions.

Companies that embrace these technologies can gain a competitive edge by delivering innovative products or services that meet the evolving needs and expectations of customers.

Additionally, social, environmental, political, and other external factors also play a role in shaping the marketplace. Social factors encompass changes in consumer preferences, lifestyles, and values.

Environmental factors include concerns about sustainability, climate change, and resource conservation. Political factors involve government regulations, policies, and geopolitical events that can impact market dynamics.

These factors contribute to shifts in consumer behavior, market demand, and competitive strategies.

The combination of new technologies and external factors creates a dynamic landscape where businesses must continually adapt and respond to changes.

Companies that are agile and responsive to these drivers of change can seize opportunities, differentiate themselves from competitors, and create value propositions that resonate with customers.

By understanding and effectively leveraging these drivers, organizations can position themselves for success in an ever-evolving marketplace.

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Answer:

x + 4y = 16

Step-by-step explanation:

have a good day

Answer:

x + 4y = 16

Step-by-step explanation:

Answer:

to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, you have to reverse the operations acting on the variable.

Step-by-step explanation:

Answer:

A.{-2,3,1,5 } or D. {-2, -1, 0,5}

Answer:

$19.99 for each cartridge.

Step-by-step explanation:

For this problem, we are finding the cost of the three printer cartridges. Since the problem says that the tax was 5.95, we can subtract that from 90.91.

90.91-5.95=

84.96

Next, since we know that the software package was 24.99, we can subtract that from 84.96.

84.96-24.99=

59.97

Finally, since there are three printer cartridges, we can divide 59.97 by 3, and get our answer.

59.97/3=

19.99

Each printer cartridge would cost $19.99.

Hope this helps and have a good day! :D

The height in meters of a lava rock that falls for 5 seconds is; 122.5 m.

We are told that the height is modelled by the equation;

y = ¹/₂gt²

where;

y represents the height.

g is 9.8 m/s²

t represents the falling time of the lava rocks.

Thus, at t = 5, we have;

y(5) = ¹/₂(9.8)(5)²

y(5) = 122.5 m

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