Write 0.0100 in Scientific Notation

Answer:

um just one question are you sure it's supposed to be d-6 instead of b-6

Step-by-step explanation:

if it's b-6 instead of d then the answer is 1

Answer:

WL = 12

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

7 = (-5 -2)/(WL - 13)

Multiply each side by (WL - 13)

7 (WL - 13) = -5-2

7 (WL - 13) = -7

Divide each side by 7

(WL - 13) = -1

Add 13 to each side

WL - 13+13 = -1 +13

WL = 12

Answer:

A

Step-by-step explanation:

The first thing to notice is the question says it is given that the person is between the ages 23 and 60, so we only care about those people. So then we want to know how likely it would be to pick someone with over 50 messages a month. So what you would do is take the amount of people who are between 23 and 60 and send over 50 text messages, and divide that by the total amount of people 23-60 (since that is the pool of people we have). Doing so we find there is 229 people aged 23-60 which then makes the answer 157/229 or A.

Answer:

30

Step-by-step explanation:

Sum of the ratios = 3 + 4 + 5 = 12

Smallest share = 18 bags

Ratio of the smallest share = 3

Let the largest share = x

From the question

18 ------------ 3

x --------------5

Cross multiply

3x = 18 × 5

Dividing bothsides by 3

X = 18 × 5/ 3

X = 90 / 3

X = 30

Therefore.

The largest share = 30

Answer:

\(\displaystyle m = \frac{4}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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You have the following expression:

by simplifying the previous expression you obtain:

where you have taken into account to factorize the variables inside the root in a way you can simplify it.

To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.

Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.

To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.

To find the arc length, we use the formula

=> L = rθ,

where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.

To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.

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Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 /  5

We would apply the law of division for fractions.

34 /  5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

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Step-by-step explanation:

0.5x²+22x-224

=0.25x+22x-224

=22.25x-224

Answer:

D=2t is proportional

Step-by-step explanation:

To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.

To increase usability in a spreadsheet, you can utilize the following techniques:

1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.

2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.

3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.

4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.

5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.

6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.

7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.

By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.

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Answer:

exact form

8192/729

decimal

11.237

Step-by-step explanation:

cancel common factors

Answer:

Step-by-step explanation:

Add them together

-6x = -4

X = 4/6 y = -1

Answer:(x,y)=(23/6,-5/14)

Step-by-step explanation:

I used an app so dont get mad if its wrong

the expression\((3^{(1/4)} * 3^3x) / 13\) can be written as \(3^{(13/4 + 39x)}\).

(a) \((3^{(-4x) }* 3^{(-5x)}^{(4/9)}\)

Using the property of exponents\((a^m * a^n = a^{(m + n)}\)), we can simplify the expression:

(3^(-4x - 5x))^(4/9)

= (3^(-9x))^(4/9)

Now, using the property of exponents (a^(m/n) = (n√a)^m), we can rewrite the expression:

(3^(-9x))^(4/9)

= (9√3^(-9x))^4

Since 9√3^(-9x) can be written as (3^2)^(-9x) = 3^(-18x), we have:

(9√3^(-9x))^4

= (3^(-18x))^4

= 3^(-72x)

Therefore, the expression (3^(-4x) * 3^(-5x))^(4/9) can be written as 3^(-72x).

(b) (3^(1/4) * 3^3x) / 13

Using the property of exponents (a^m * a^n = a^(m + n)), we can simplify the expression:

(3^(1/4) * 3^3x) / 13

= (3^(1/4 + 3x)) / 13

Now, using the property of exponents (a^(m/n) = (n√a)^m), we can rewrite the expression:

(3^(1/4 + 3x)) / 13

= (13√3^(1/4 + 3x))

Since 13√3^(1/4 + 3x) can be written as (3^13)^(1/4 + 3x) = 3^(13/4 + 39x), we have:

\((13sqrt3^{(1/4 + 3x)})\)

\(= 3^{(13/4 + 39x)}\)

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The height of the highest tide in Admiralty Head on March 14 is predicted to be option (c) 7.45 feet, as per the tidal chart.

To determine the height of the highest tide in Admiralty Head on March 14, we need to consider the tidal patterns for that location on that day. Admiralty Head is located on the western side of Whidbey Island, in Puget Sound, Washington. The tidal patterns for Puget Sound are affected by the tides in the Pacific Ocean and by the shape and size of the sound.

We can use a tidal chart to determine the height of the tides in Admiralty Head on March 14. According to the tidal chart for that day, the highest tide in Admiralty Head is predicted to be 7.45 feet.

Therefore, the answer to the question is option c: 7.45 feet.

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Surface area of cuboid  is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.

Surface area of a cuboid is = 2lw + 2lh + 2 hw

where ; l= length

w= width.

h = height

= 2(10×6)+2(10×6)+2(6×6)

=2(60)+2(60)+2(36)

=120+120+72

=312

Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.

Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.

Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.

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Milan watched videos for 1/2 minutes in all.

In Mathematics, fractiοns are defined as the parts οf a whοle. The whοle can be an οbject οr a grοup οf οbjects. In real life, when we cut a piece οf cake frοm the whοle οf it, then the pοrtiοn is the fractiοn οf the cake. A fractiοn is a wοrd that is οriginated frοm Latin. Fractiοns are a way οf representing a part οf a whοle οr a quantity that is nοt a whοle number. They cοnsist οf a numeratοr and a denοminatοr separated by a line.

To find the total time Milan watched videos, we need to add the times for each video:

3/8 + 1/8 = 4/8

Simplifying the fraction by dividing both the numerator and denominator by 4, we get:

4/8 ÷ 4/4 = 1/2

Therefore, Milan watched videos for 1/2 minutes in all.

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Answer:

1. (-2, 3) 7

2. (5, 8) 5

3. (-6, 1/2) 2/3

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where the center is at point (h, k) and the r is the radius. Find the values that would fit the numbers in parenthesis to find the center of the circle, and take the squareroot of the number on the right side of the equation to find the radius.

lmk if im wrong, hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

\(d)\ y=\frac{1}{3}x +2\)

Step-by-step explanation:

Slope (m) form: \(\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}\)

\(y=mx+b\\y=\frac{1}{3}x +b\)

(3, 3)

\(y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b\)

\(y=\frac{1}{3}x +2\)

Check your answer:

\(y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3\)

This statement is true

Hope this helps!

Answer:

His actual score is 15

Step-by-step explanation:

Here, we are interested in calculating Wayne’s actual score on the ACT

when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.

Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.

The formula for the z-score or standard score is given below;

z-score = (x - mean)/SD

where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6

So, substituting these values into the z-score equation, we have;

-0.5 = (x-18)/6

x-18 = 6(-0.5)

x -18 = -3

x = -3 + 18

x = 15

The Institutional Research department likely needs a more sophisticated statistical software tool, such as R, SAS, or Stata, to analyze and visualize the data they gather on campus.

The Institutional Research department at the university is responsible for gathering and analyzing a vast amount of data from different areas of the campus, including enrollment, retention rates, graduation rates, student demographics, faculty research, budget and finance, and more.

While spreadsheets are an excellent tool for organizing and storing data, they may not be sufficient for analyzing the data, identifying trends, and making data-driven decisions.

To take full advantage of the data, the Institutional Research department will likely require a more sophisticated statistical tool.

A statistical tool will allow the department to perform more complex analyses, such as regression analysis, hypothesis testing, and forecasting. Statistical software such as R, SAS, and Stata are popular choices for advanced data analysis in academic institutions.

Another important consideration is the ability to generate meaningful visualizations of the data.

Data visualization tools such as Tableau, Power BI, and QlikView can help the department create interactive dashboards and charts that communicate insights and trends to a broader audience.

In summary, the Institutional Research department requires a more sophisticated statistical tool to analyze and visualize the data. The tool should have the ability to handle large datasets, perform advanced statistical analyses, and generate informative visualizations.

Ultimately, the right tool will help the department make data-driven decisions that improve the university's overall performance.

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Answer:

if -5n+7<57, then n>-10.

if 6n+2<8, then n<1.

Step-by-step explanation:

-5n+7<57

1. subtract 7 from both sides:

-5n+7 -7< 57 -7

-5n<50

2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):

-5n ÷-5<50 ÷-5

n>-10

6n+2<8

1. subtract 2 from both sides:

6n+2 -2<8 -2

6n<6

2. divide both sides by 6:

6n ÷6<6 ÷6

n<1

Answer:

Step-by-step explanation:

yyes

The degree of the measure of the exterior angle is 141 3/7°.

the term exterior angle in triangle is defined as angles that are parallel to the inner angles of a polygon but lie on the outside of it

Here we know that A square and a regular heptagon are coplanar and share a common side AD.

And then here we need to find each of the interior angle of the regular heptagon.

As we all know that here we have to use the formula that gives the interior angle measure for a regular polygon with any number of sides is 180(n-2)/n where n is the number of sides.

According to the given formula here we have a regular heptagon's interior angle measures is calculated as

=> 180(7-2)/7 = 128 4/7.

Here we also know that the angle A and D would be 128 4/7 degrees.

Here the next step is to Find angle BAC.

For that here we have to know that a square's interior angle is 90 degrees and a heptagon's is 128 4/7 degrees.

Now we have to subtract those from 360 degrees to find angle BAC then we get the expression like the following,

=> Angle BAC = 360 - (angle A + 90)

=> 360 - (128 4/7 + 90)

When we simplify this one then we get the resulting value as,

=> 360 - 218 4/7 = 141 3/7 degree

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Answer:

There are 7 blue flowers.

Step-by-step explanation:

Total flowers: 30

Use the chart to find the red, white, and yellow flowers.

Red: 8

White: 10

Yellow: 5

Find the sum of the these three colored flowers:

8 + 10 + 5

23

Find the difference between the total flowers and the sum of the three colored flowers:

30 - 23

7

7 blue flowers