Find the lateral area of the pyramid

Answer:

B linear

Step-by-step explanation:

If the rate of change stayed the same then it has to be a straight line so no C or D, and it cant be A be cause there is a rate of change.

The series ∑ e^n / n^2, where n starts from 1 and goes to infinity, diverges. This means that the series does not have a finite sum and keeps growing indefinitely.

To determine the convergence or divergence of the series ∑ e^n / n^2, we can use various tests. One commonly used test is the comparison test.

When we compare the given series to a known series, such as the harmonic series or geometric series, we can see that the terms of the given series do not decrease or approach zero as n increases. In fact, the exponential term e^n grows exponentially, and the denominator n^2 increases at a much slower rate.

As a result, the terms of the series do not tend to zero, and we can conclude that the series diverges. In other words, the sum of the series goes to infinity as n approaches infinity. This indicates that the series does not have a finite sum and keeps growing indefinitely.

Therefore, the series ∑ e^n / n^2 diverges.

Learn more about harmonic series here:

https://brainly.com/question/32256890

#SPJ11

We can draw the conclusion that there is insufficient evidence to support the idea that the model explains the relationship between the independent  variable and dependent variables if the global test of statistical significance for a regression model does not reject the null hypothesis.

The global test of statistical significance for a regression model is used to assess the overall explanatory power of the model. If the global test of statistical significance does not reject the null hypothesis, this indicates that the model does not explain the relationship between the  independent variable and dependent variables as expected. This could be due to a lack of sufficient data, a poorly constructed model, or simply a lack of correlation between the variables. In any case, the results of the test should be interpreted with caution, and further investigation into the model and data may be necessary.

Learn more about independent variable here

https://brainly.com/question/29430246

#SPJ4

Answer:

the ordered pair (0, 1/6)

Step-by-step explanation:

To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:

g(x) = f(-x) = 1/6(2/5)^(-x)

To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:

g(0) = 1/6(2/5)^(-0) = 1/6

Therefore, the ordered pair (0, 1/6) is on the graph of g(x).

The coordinates of the centroid of the triangle are:

Centroid = (-28/3, 3)

For a triangle whose vertices are (x₁, y₁), (x₂, y₂), and (x₃, y₃) has a centroid at:

Centroid = ( [x₁ + x₂ + x₃]/3, [y₁ + y₂ + y₃]/3)

Here we know that the vertices are A(−10, 3), B(−4, 5), C(−4, 1), then the coordinates of the centroid are:

Centroid = ( [-10 - 4 - 4]/3, [3 + 5 + 1]/3)

Centroid = ( -28/3, 9/3)

Centroid = (-28/3, 3)

These are the coordinates.

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

Korey expect to make in profits in his fifth year of operation is $15,149.72. So, the correct answer is option A) $15,149.72.

To calculate Korey's expected profits in his fifth year of operation, we need to consider the expected growth rate of profits over the next four years.

Korey expects profits to increase by 6% each year for the next four years. To calculate his expected profits for each of the next four years, we can use the following formula:

Profit = Previous year's profit + (Previous year's profit x growth rate)

Using this formula, we can calculate Korey's expected profits for each of the next four years:

Year 1: $12,000 (average monthly profit of $1,000)

Year 2: $12,720 ($12,000 + ($12,000 x 0.06))

Year 3: $13,478.40 ($12,720 + ($12,720 x 0.06))

Year 4: $14,278.30 ($13,478.40 + ($13,478.40 x 0.06))

To calculate his expected profits in the fifth year, we can use the same formula:

Year 5: $15,149.72 ($14,278.30 + ($14,278.30 x 0.06))

Therefore, the correct answer is option A) $15,149.72.

To learn more about profits click on,

https://brainly.com/question/13534163

#SPJ4

Answer:

A. ) 15,149.72

Answer:480cm^3

Step-by-step explanation:

The statement "if written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven " is true

The given statement is

If written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven

We have to check the given statement is true or false

The given number is

One thousand one hundred and twenty five

Write the number in numeric terms

One thousand one hundred and twenty five = 1125

Write the number in backwards

= 5211

Then the number will be

Five thousand two hundred and eleven

Therefore, the given statement is true

Learn more about number in backward here

brainly.com/question/14013987

#SPJ4

The alternative hypothesis will be French people differ from English people in height.

A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables.

In statistical hypothesis testing, null and alternate hypotheses are applied. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

Given

Null hypothesis- French people do not differ from English people in height.

Therefore, the Alternative hypothesis for the given statement is - French people differ from English people in height.

To learn more on Alternative hypothesis here:

https://brainly.com/question/27335001#

#SPJ4

Answer:

6200 rupees

Step-by-step explanation:

Think the monthly income x

According to the question

The equation is

x×28%=1736

x×28/100=1736

x=1736÷28/100

x=1736×100/28

x=62×100

x=6200

So monthly income is 6200 rupees

Answer:

\(6200\ Rupees\)

Step-by-step explanation:

\(We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\\)

\(\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\\)

Answer:

Exact Form:

p=63/8

Decimal Form:

p=7.875

Mixed Number Form:

p=7 7/8

Hope this helps :-)

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

Answer:

in math what type of poem???

Answer:

The answer is 50%.

Step-by-step explanation:

I did the question on IXL, and got it right.

Answer:

I think you would be right.

Answer:

\(B=4^{3} feet\)

Step-by-step explanation:

The altitude of B = 16A and we now that A = 4 feet.

Finally B will be:

\(B=4^{2}*4=4^{3} feet\)

I hope it helps you!

Answer:

this pattern is ver simple very easy

Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25

Answer:

4.695

Step-by-step explanation:

multiply top and bottom by 100, 000 to clear any decimal places

now we have 78, 000 / 16,614

= 4.695 (3 decimal places).

(x,y) = (3,2)

y = x - 1

2 = 3 - 1

2 = 2

y = -x + 5

2 = -3 + 5

2 = 2

If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, The system of equation y = x - 1 and y = - x + 5 has a

solution (3, 2).

If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.

For,

y = x - 1.

At, x = 3,

y = 3 - 1

y = 2   (satisfied).

For,

y = - x + 5.

At, x = 3,

y  - 3 + 2.

= 2     (satisfied).

learn more about the system of equations here :

https://brainly.com/question/19549073

#SPJ5

Answer:

4z + 5

Step-by-step explanation:

16 and 20 are both dividable by 4, so you divide them both by four and then you have your answer

Answer:

4(4z + 5)

Step-by-step explanation:

Given

16z + 20 ← factor out 4 from each term

= 4(4z + 5) ← in factored form

Decision Support Systems (DSS) draw information from a variety of sources, including internal data generated within the organization and external data obtained from outside sources. Internal data encompasses data such as sales figures, financial statements, and customer records, providing an organization-specific view. External data includes market research reports, industry benchmarks, and government data, offering a broader context and insights into market trends and customer preferences. DSS can also utilize external databases and sources, such as data aggregators and public repositories, to access specialized data sets. By combining internal and external data sources, DSS can provide comprehensive decision support, enabling organizations to make informed choices based on a wide range of information.

Decision Support Systems (DSS) rely on a wide range of data sources to provide valuable information for decision-making processes. These sources can be categorized into internal and external data, each offering unique perspectives and insights.

Internal data refers to information generated and stored within an organization. This data can include sales figures, financial statements, customer records, inventory levels, and employee performance data. Internal data provides an organization-specific view and can be readily accessible for analysis within the DSS.

External data, on the other hand, encompasses information obtained from sources outside the organization. It can include market research reports, industry benchmarks, economic indicators, government data, social media feeds, and customer feedback. External data offers a broader context and helps organizations gain insights into market trends, competitor analysis, customer preferences, and regulatory changes.

Furthermore, DSS can also tap into various external databases, such as data aggregators, research institutions, and public repositories. These sources provide specialized data sets related to specific industries, demographics, geographies, or subjects of interest. By integrating these external sources, DSS can enhance its analytical capabilities and provide comprehensive decision support.

In conclusion, the information used in a Decision Support System can be obtained from both internal and external sources. By leveraging internal data and tapping into external databases and sources, DSS can provide a holistic and informed perspective for decision-making processes.

Learn more about Decision Support Systems

https://brainly.com/question/28883021

#SPJ11

Answer:

y=4x+3

Step-by-step explanation:

find the slope using y2-y1/x2-x1

11-3/2-0

simplify

8/2

simplify

4

find b by using the equation y=mx+b

since we know 4 is the slope, plug it in for m

plug an ordered pair into y=4x+b

3=4(0)+b

3=b

plug b in y=4x+b

y=4x+3

Answer:

Step-by-step explanation:

The explanatory variable in this scenario would be B. The length of the lesson.

An explanatory variable is one that is used to explain or predict the outcome of a dependent variable.

In this case, the instructor wants to determine if a longer lesson would improve student test scores.

Therefore, the length of the lesson is the explanatory variable because it is being used to predict or explain the outcome of the dependent variable, which is the student test scores.

The other options, the quality of the lesson, the number of students in the class, and the student test scores, are not being used to explain or predict the outcome of the dependent variable, so they are not the explanatory variable.

Hence, the correct answer is, option B: The length of the lesson.

To know more about the explanatory variable refer here:

https://brainly.com/question/29820449#

#SPJ11

The object whose distance is three times its displacement is object Z.  

The distance is defined as a scalar quantity representing the total distance traveled.

Displacement is a vector representing the distance between the end and start points.

Distance, Displacement, Ratio To calculate r = 3

Object    Motion                                    Distance     Displacement  ratio

 X          3 units left, 3 units right        3 + 3 = 6       3 - 3 = 0            ∞

 Y          6 units right, 18 units right    6 + 18 = 24    6 + 18 = 24       1

 W         8 units left, 24 units right      8 + 24 = 32   -8 + 24 = 16     2

 Z          16 units right, 8 units left       16 + 8 = 24    16 - 8 = 8         3

Ratio is calculated by dividing the distance by the displacement.

distance/displacement.

For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.  

Read more about Object distance at: https://brainly.com/question/17206319

#SPJ1

To find the general solution for the given ordinary differential equation (ODE):

xdy - [y + xy^(2)(1 + ln(x))]dx = 0

We can rearrange the terms and separate the variables:

xdy = [y + xy^(2)(1 + ln(x))]dx

Dividing both sides by x and rearranging the terms:

dy/y + y(ln(x) + 1)dx = dx

Now, let's integrate both sides:

∫(dy/y) + ∫[y(ln(x) + 1)]dx = ∫dx

Integrating the left-hand side with respect to y and the right-hand side with respect to x:

ln|y| + y(ln(x) + 1) = x + C

where C is the constant of integration.

We can simplify the equation further:

ln|y| + yln(x) + y = x + C

Combining the logarithmic terms:

ln|y| + yln(x) = x + C - y

To eliminate the logarithm, we can take the exponential of both sides:

e^(ln|y| + yln(x)) = e^(x + C - y)

Using the properties of exponents:

|y| * x^y = e^(x + C - y)

We can rewrite the absolute value expression as a piecewise function:

y * x^y = e^(x + C - y) if y > 0 -y * x^(-y) = e^(x + C - y) if y < 0

So, the general solution to the given ODE is the combination of these two equations:

y * x^y = e^(x + C - y) if y > 0 -y * x^(-y) = e^(x + C - y) if y < 0

These equations represent the family of solutions to the given ordinary differential equation (ODE).

To know more about ordinary differential equation (ODE), visit :

https://brainly.com/question/30257736

#SPJ11