what is 1.025 as a fraction?

Answers

Answer 1

The decimal number 1.025 is 41/40 in fractions.

What is Number system?

A number system is defined as a system of writing to express numbers.

A fraction is a part of a whole

The decimal number one point zero two five should be converted to fraction.

The conversion of 1.025 to fraction is 41/40.

If we calculate  41/40 we get the value 1.025.

Hence 1.025 is 41/40 in fractions.

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Related Questions

solve 2/3x + 4 = 5/6x by eliminating the fraction.

Answers

The value of x in the given equation is 24.

Given equation:

(2/3)x + 4 = (5/6)x

We have to find the value of x by eliminating the fraction.

Fraction

Fraction is  termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator.

LCM (3,6) = 6

Multiplying the whole equation by 6, we get:-

(2/3)x*6 + 4*6 = (5/6)x*6

4x + 24 = 5x

5x - 4x = 24

x = 24

Hence, the value of x is 24.

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I need help figuring out the answer, I’m very much confused

Answers

My first step is to draw a picture

We know that the length is 2 times the width

L = 2w

We are given a width of 4.6 yards

L = 2(4.6) = 9.2 yards

We can find the area by using the formula

A = l*w

A = 9.2 * 4.6

A =42.32 yd^2

Write a verbal sentence to represent each equation.
9.3n-3579
10. 2(n³ + 3n²) = 4n
11.
5n
n+3
-=n-8

Answers

The expression's variables can be represented by a different symbol than the conventional x and y.

A mathematical assertion represented in English is known as a verbal expression.

What does an algebraic verbal model mean?Talking Model is a formula utilizing the terms found in the problem. Labels matching variables or numerical values to the linguistic model Equational Expression Modification of the Verbal Model by the substitution of mathematical values and variables.

How to Convert Algebraic Expressions to Verbal Expressions.

Step 1: Recognize the algebraic operations—such as addition, subtraction, multiplication, and division—used in the expression.Step 2: Write a statement in which a vocabulary word is combined with the numbers to represent each of these processes.

Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.

A mathematical assertion represented in English is known as a verbal expression.

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Shannon started a savings account by putting
in $25. On the 1st week she deposited $15
and plans to continue depositing $15 each
week.
Given the graph, description or sequence values create an explicit equation

Answers


answer : y=25+15x

f(n)=f(n-1)+15
f(0)=25

At a restaurant, Elena wants to leave a tip that is 15% of the bill B plus $1. Which linear model best describes the total T?

Answers

Answer:

The total T can be described as

[tex]T = (B+(B*.15))+1[/tex]

The relationship between time and the number of laps is not proportional across all swimmers. which two swimmers swam at the same rate (had time and laps in the same proportion)?

Answers

Answer: Undefined

Step-by-step explanation:

There is not enough information to complete the task.

Answer:

Jonathan and Seth

Step-by-step explanation:

multiple the laps by 2 youll get the minutes

Find the mean and population standar deviation for each data set.

Hours slept

Answers

Mean of given set is 7.8

Define mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." It is a statistical idea with significant financial implications.

Given,

Mean:

Formula:

Sum = 118.25

Total = 15

[tex]\frac{sum}{total}[/tex]

[tex]\frac{6.75 + 6.5 + 7 +8 +7+8.75+7.25+5.75+9.25+7.75+7+7.5+8+7.5+8+6.25}{15}[/tex]

= [tex]\frac{118.25}{15}[/tex]

= 7.8

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Use the information provided to answer questions 2 - 5. Leah would like to earn at least $ 120 per month. She babysits for $ 5 per hour and works at an ice cream shop for $ 8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.

Answers

Leah would like to earn at least $120 per month. This expression means she ould like to earn $120 as a minimum and possible higher than that. In other words, she wants to earn either 120 or above that. If the number of hours she babysits is x, and the number of hours worked at the ice cream shop is y, then her earnings as per x and y woud be;

[tex]\begin{gathered} 5x+8y\ge120---(1) \\ x+y\leq20---(2) \\ Solve\text{ these on a graph and you'll have;} \end{gathered}[/tex]

The red graph represents x + y =<20

The blue graph represents 5x +8y =>120

Observe that the region where the blue and red are "mixed" together represent the solution region.

Option A (4, 15)

Option B (5, 12) and

Option C (10, 9) are possible solutions


A farm is being divided so that each section of land has equal access
to the canal running through the property for watering crops. If the road on the
opposite side of the property runs parallel to the canal, explain how this can be
done.

Answers

The best way to divide the land having canal and road parallel, is divide land with the line perpendicular to the road and canal.

What is parallel and perpendicular?

In simple geometry, two geometric objects cross at a right angle (90 degrees or /2 radians) if they are perpendicular to one another. The perpendicular symbol,⟂, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, between two lines (or line segments), and between two lines.

In geometry, parallel lines are coplanar, straight lines that never intersect. Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect.

We need to give equal access of canal to each section of land so, the best way to divide land is divide land perpendicularly to canal and the road.

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A circle passes through (-2, 6) , (2, 8) , and (5, -1) Using the general form of a circle and the points above, fill in missing numbers to create the system of equations. (-2, 6) creates D + E + 1F = (2, 8) creates D + E + 1F = (5, -1) creates D + E + 1F = Solve the system of equations that you created, and write the equation for the circle by filling in the values for D, E, and F.

Answers

The equation of the circle passing through points (-2, 6) , (2, 8) , and (5, -1) is given as follows:

(x - 2)² + (y - 3)² = 25.

Equation of a circle

The equation of a circle with center (x*, y*) and radius r is given according to the following rule:

(x - x*)² + (y - y*)² = r².

The circle passes through point (-2,6), hence the first equation of the system is given as follows:

(-2 - x*) + (6 - y*)² = r².

r² = x*² + 4x* + 4 + y*² - 12y* + 36.

The circle also passes through point (2,8), hence the second equation of the system is given as follows:

(2 - x*) + (8 - y*)² = r².

r² = x*² - 4x* + 4 + y*² - 16y* + 64.

The final point is point (5,-1), meaning that the third equation is:

(5 - x*) + (-1 - y*)² = r².

r² = x*² - 10x* + 25 + y*² + 2y* + 1.

The system of equations to find the coordinates of the center and the radius is given as follows:

x*² + y*² + 4x* - 12y* + 40 - r² = 0.x*² + y*² - 4x* - 16y* + 68 - r² = 0.x*² + y*² - 10x* + 2y* + 26 - r² = 0.

The solution to the system is given as follows:

x* = 2, y* = 3, r² = 25.

Hence the equation of the circle is:

(x - 2)² + (y - 3)² = 25.

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535(-8) ??? What is the answer

Answers

Answer: the answer is -4280

Step-by-step explanation:

The question is in the image. Answer question 13 only.

Answers

We need to convert 40 degrees to radians:

Then, we need to use the next equation:

[tex]40\ast\frac{\pi}{180}[/tex]

Solve it:

[tex]40\ast\frac{\pi}{180}=\frac{2}{9}\pi[/tex]

Hence, 40 degrees is equal to 2/9π radians.

A secant line intersects the curve g(x)=-x² +8 at x = 1 and x = 1+h. What expression is equal to the slope of this secant?

Answers

The slope of the line secant to the curve g(x) = - x² + 8 is equal to m = - (2 + h).

How to derive the equation of the slope of a line secant to a curve

A secant line is a line that passes through a curve in two places, the formula for the slope of the secant line is described below:

m = [f(a + h) - f(a)] / [(a + h) - a]

m = [f(a + h) - f(a)] / h

If we know that f(x) = - x² + 8 and a = 1, then the equation for the slope of the secant line is:

m = {[- (1 + h)² + 8] - (-1² + 8)} / h

m = (- 1² - 2 · h - h² + 8 + 1² - 8) / h

m = (- 2 · h - h²) / h

m = - 2 - h

m = - (2 + h)

The slope of the line is equal to m = - (2 + h).

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gmm
2
#x²
13
O
1
2
ABC
3
5x+2
3x + 40
Find the measure of angle 2.
label optional
1
2 3 4
5 6 78 9
XY Z<
7
VI
Xi
+
8
=
V

Answers

Answer: [tex]\angle 2=83^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]5x+2=3x+40\\\\2x=38\\\\x=19[/tex]

This means that [tex]5x+2=3x+40=97[/tex].

Since [tex]\angle 2[/tex] and the [tex]97^{\circ}[/tex] form a linear pair, they add to 180 degrees. So, [tex]\angle 2=83^{\circ}[/tex]

12 is 150% of what number

Answers

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

[tex]1.5x=12[/tex]

Solving for x,

[tex]1.5x=12\rightarrow x=\frac{12}{1.5}\rightarrow x=8[/tex]

Therefore, we can conclude that 12 is 150% of 8

Solve 4(3m + 1) − 2m = −16. m = −0.83 m equals negative 20 over 12 m equals negative 17 over 10 m = −2.

Answers

The solution to the equation given as 4(3m + 1) − 2m = −16 is m = -2

How to determine the solution to the equation?

The equation is given as

4(3m + 1) − 2m = −16

Open the brackets in the above equation

So, we have

12m + 4 − 2m = −16

Collect the like terms in the above equation

So, we have the following equation

12m − 2m = −16 -4

Evaluate the like terms in the above equation

So, we have the following equation

10m = −20

Divide both sides by 10

m = -2

Hence, the soluton is m = -2

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Hi! So I am stuck on three problems right now, can you Please help me?number 1, says "What is the cosine ratio of

Answers

The cosine ratio is given by the following formula:

[tex]\cos (Z)=\frac{\text{adjacent leg}}{hypotenuse}[/tex]

The adjacent leg of angle Z is side ZY=12 and the hypotenuse of the triangle is the side XZ=20, thus the cosine ratio of Z is:

[tex]\cos (Z)=\frac{12}{20}[/tex]

Please help asap
this is an assignment due today please help real quick
no fake answers

Answers

Answer:

where???????????????

Past due I don't really understand, what's the answer??

Answers

Answer:

$50.16

Step-by-step explanation:

id.k if it's actually right but i believe the tip would be $8.36 if it's 20% so adding it together is $50.16

The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is 18 inches in diameter.

Suppose a standard dartboard is hung at standard height so that the bull's-eye is 12 feet from a wall to its left.

Brian throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5 feet above the floor.

Does Brian's dart land on the dartboard?

Drag the choices into the boxes to correctly complete the statements.

Answers

Considering the equation of a circle, it is found that:

The equation of the circle that represents the dartboard is [tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex], where the origin is the lower left corner of the room and the unit of the radius is in inches;The position of Brian's dart is represented by the coordinates (11.5, 5). Brian's dart does land on the dartboard.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given as follows:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In the context of this problem, we have that:

The radius of the circle is of 9 inches, as the diameter is of 18 inches and the radius is half the diameter.The height is of 5 feet 8 inches = 5 feet and 2/3 feet = 17/3 feet, which is the y-coordinate of the center.The bull's-eye is 12 feet from a wall to its left, hence the x-coordinate of the center is of 12.

Hence the equation of the circle is given by:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex]

Brian's dart lands at the following position:

(11.5, 5)

All the points that land on the dartboard respect the following equation:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 \leq 81[/tex]

For the coordinate where the dart landed, we have that:

(11.5 - 12)² + (5 - 17/3)² = 0.7 < 81, meaning that Brian's dart lands on the dartboard.

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Evaluate: -6 × (-4)
= Enter your next step here
() TO

Answers

Answer:

24

Step-by-step explanation:

-6*(-4)

The negative signs cancel:

6*4

24

what is the correct ascending order for these numbers1.525/848%

Answers

Given the set of numbers:

[tex]\text{ 1.52, 5/8 and 48\%}[/tex]

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a

In the diagram shown, lines MN and PQ intersect at R. If ZNRS is a right angle and the measure of ZMRQ is 1420, then what is the measure of ZPRS? Show or explain how you arrive at your answer.

Answers

The measure of the angle PRS is given as follows:

m<PRS = 45º.

Measure of angle PRS

As stated in this problem, these following angles are given:

<MRQ = 142º.m<NRS = 90º.

MRQ and and QRN form a ray, hence they are supplementary angles.

For supplementary angles, the sum of the measures is of 180º, hence the measure x of angle QRN is calculated as follows:

142 + x = 180

x = 180 - 142

x = 38º.

The entire diagram forms an angle of 360º, hence:

142 + 38 + 90 + m<MRS = 360º.

270 + m<MRS = 360º

m<MRS = 90º.


The segment PR bisects the angle MRS, dividing into two angles of 90º/2 = 45º, as a bisection of an angle basically splits the angle in half hence these following measures are identified:

m<MRP = 45º.m<PRS = 45º.

Missing information

The diagram is given by the image at the end of the answer.

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a list of 1111 positive integers has a mean of 1010, a median of 99 and a unique mode of 88 what is the largest possible value of an integer in the list?

Answers

The largest possible value in the list is 35.

What is mean, median and mode?

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

Given: There is a list of 11 positive integers.

Has a mean of 10, a median of 9 and a unique mode of 8.

Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).

If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.

The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.

The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.

Therefore, the largest possible value of an integer in the list is, 35.

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Which angle pair is NOT an example of Corresponding Angles?

angle 2 and angle 10

angle 1 and angle 11

angle 13 and angle 15

angle 8 and angle 16​

Answers

Answer:

Step-by-step explanation:  

So briefly corresponding angles are angles that have the same position as another angle on the same figure. In your example there a multiple figures. The only pair that is NOT a corresponding angle is 1 and 11 because they have no lines in common they are not on the same figure! Hope this helps!

A ride sharing company offers two options: riding in small cars that can carry up to 3 passengers each, or riding in large vans that can carry up to 6 passengers each. A group of 27 people is going to use the ride sharing service to take a trip. The trip in a small car costs $10 and the trip in a large van costs $15. The group ends up spending $80 total.What do x and y represent?

Answers

Answer:

x = no of people in a small car

y = number of people in a van

Explanation:

The relevant information in the problem is that the total number of people is 27 and that the small car costs $10 and the large van $15.

If we call x the number of people in a small car, and y the number in the large van then the following equations can be obtained

[tex]\begin{gathered} x+y=27 \\ 10x+15y=80 \end{gathered}[/tex]

The first equation simply says that the total number of people is 27 and the second equation says that the total cost of the trip is $80.

Hence,

x = no of people in a small car

y = number of people in a van

Convert 450 liters into fluid ounces. Round your answer to the nearest whole number.

Answers

15,216 fluid ounces

Answer:15216.31 Fluid Ounces

Step-by-step explanation:

Solve the trig equation on the interval [tex]0 \leqslant theta \: \ \textless \ 2\pi[/tex][tex]3 sec \: \: theta \: - 2 \sqrt{3 } = 0[/tex]

Answers

Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

[tex]\begin{gathered} 3\text{sec}\theta\text{ - 2}\sqrt[]{3}=0 \\ \end{gathered}[/tex]

Add 2\sqrt[3] to both sides as shown;

[tex]\begin{gathered} 3\sec \theta-2\sqrt[]{3}=0+2\sqrt[]{3} \\ 3\sec \theta\text{ = 2}\sqrt[]{3} \\ \sec \text{ }\theta\text{ = }\frac{2\sqrt[]{3}}{3} \\ \frac{1}{\cos \theta}=\frac{2\sqrt[]{3}}{3} \\ \cos \theta\text{ =}\frac{3}{2\sqrt[]{3}} \\ \cos \text{ }\theta\text{ = }\frac{3\sqrt[]{3}}{2\cdot3} \\ \cos \text{ }\theta\text{ = }\frac{\sqrt[]{3}}{2} \\ \end{gathered}[/tex]

Take the cos inverse of both sides

[tex]\begin{gathered} \cos ^{-1}(\cos \theta)=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=30^0 \end{gathered}[/tex]

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

The table below shows the average annual cost of health insurance for a single individual, from 1999 to 2019, according to the Kaiser Family Foundation.YearCost1999$2,1962000$2,4712001$2,6892002$3,0832003$3,3832004$3,6952005$4,0242006$4,2422007$4,4792008$4,7042009$4,8242010$5,0492011$5,4292012$5,6152013$5,8842014$6,0252015$6,2512016$6,1962017$6,4352017$6,8962019$7,186(a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).Pt = (b) Using this linear model, predict the cost of insurance in 2030.$ (c) = According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).During the year (d) Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of P0 and d to the nearest dollar.Pt= (e) Using the regression model, predict the cost of insurance in 2030.$ (f) According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).During the year

Answers

Part (a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).

we have the ordered pairs

(1999, 2,196) -------> (0,2,196)

(2019,7,186) -------> (20,7,196)

Find out the slope

where

t -----> is the number of years since 1999

P ----> the cost

m=(7,196-2,196)/(20-0)

m=5,000/20

m=250

Find the equation of the linear model in slope-intercept form

P=mt+b

we have

m=250

point (0,2,196)

substitute and solve for b

2,196=250(0)+b

b=2,196

therefore

P=250t+2,196

Part b

Using this linear model, predict the cost of insurance in 2030

For t=2030=2030-1999=31 years

substitute

P=250(31)+2,196

P=$9,946

Part c

According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute in the linear model

12,000=250t+2,196

250t=12,000-2,196

250t=9,804

t=39 years

therefore

1999+39=year 2038

Part d

Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of

P0 and d to the nearest dollar

using a regression calculator

the equation is

ŷ = 239.15065X + 2406.39827

y=239x+2,406

Part e

Using the regression model, predict the cost of insurance in 2030

For t=2030-1999=31 years

P=239(31)+2,406

P=$9,815

Part f

According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute

12,000=239x+2,406

239x=12,000-2,406

239x=9,594

t=40 years

year=1999+40=2039

Simplify: 2.4 x 10−4 0.00024 0.000024 −0.000024 −2.4000

Answers

Answer:

0.00067

Step-by-step explanation:

You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

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Alanine is a member of the twenty key amino acids that are used by our bodies to make proteins. Is this a chiral molecule?. Which of the following could be an example of a function with a domain (-0,) and a range (-0,2)? Check all that apply. A. V= - (0.25)* - 2 - B. v= -(3)*-2 O c. v= -(3)*+2 1 v= - (0.25)*+2 D. what's the difference between two whole number 1/2 percent of 36 and 30% of 10 What is NOT a symptom of a reading disorder such as dyslexia?1) Trouble focusing on an instructor's aural lectures2) The inability to distinguish sounds in spoken words3) Difficulty remembering new concepts that are written down4) Trouble relating new ideas to those stored in memory InstructionsRead the question carefully and select the best answer.Which sentence from the excerpt best supports the answer to Question 7?A. "Although most of Shakespeare's works were written after her death, there is proof that Queen Elizabeth I watched several of his plays at court."B. "Shakespeare's plays follow a strict format. Each has five acts, and each of those acts contain scenes."C. "Influenced by this idea, English writers began to shift their focus from religious concerns and concentrate on secular subjects, such as love, politics, science, andphilosophy.OD. "Instead, he dramatized stories from sources such as Petrarch and Holinshed, often combining elements from multiple accounts of the same story."TEKS: O TEKS 12.5(C)Save and continue Find the most important variable in the problem. A bag of marbles is full with 20 marbles, 12 of which are yellow. How many are not yellow? A. the total number of marbles B. the number of yellow marbles C. the number of marbles that are not yellow You decide to roll a 0.10 kg ball across the floor so slowly that it will have a small momentum and a large de Broglie wavelength. If you roll it at 1.4x1^-3 m/s, what is its wavelength? Express your answer to two significant figures and include the appropriate units. How will the answer from above compare with the de Broglie wavelength of the high-speed electron that strikes the back face of one of the early models of a TV screen at 1/10 the speed of light (2x10^-11 m) ? Adriana's doctor wants to talk to her about her Body Mass Index. What does thisnumber MOST accurately indicate?the proportion of fat, bone, water, and muscle in her bodyO the exact number of pounds she needs to lose to be healthyO the percentage of vitamins and minerals her body requires each dayO the number of calories she eats compared to people her same agePrevious Write the inequality stamens in a describing the numbers (-,-5) My Friends, No one not in my situation can appreciate my feeling of sadness at this parting. To this place, and the kindness of these people, I owe everything. Here I have lived a quarter of a century, and have passed from a young to an old man. Here my children have been born, and one is buried. I now leave, not knowing when or whether ever I may return, with a task before me greater than that which rested upon Washington. Without the assistance of that Divine Being who ever attended him I cannot succeed. With that assistance I cannot fail. Trusting in Him, who can go with me and remain with you, and be everywhere for good, let us confidently hope that all will yet be well. To His care commending you, as I hope in your prayers you will commend me, I bid you an affectionate farewell.A. Abraham Lincoln gave this speech in 1861, right before he moved to Washington, DC.B. Lincoln wanted to thank the people of his home state before he moved away.C. Lincolns farewell from the state of Illinois was the topic of discussion.D. Abraham Lincoln delivered the speech.E. The speech was directed to the people of Illinois.Pairs1. Speaker2. Occasion3. Audience4. Purpose5. Subject Mr. Sharma and his family are having dinner at a local restaurant. He wants to give the server a 15% gratuity, and the restaurants sales tax is 6.5%.Question 1Part ADrag the terms into the boxes in the equation to represent the total cost Mr. Sharma will pay for the meal, y, given the amount of the bill before tax and gratuity, xPart BBy what percent does the cost of the meal increase with tax and gratuity?help me please/ giving brainliest!!!! The sales tax on a table saw is $12.41. a. What is the purchase price of the table saw (before tax) if the sales tax rate is 7.3%? b. Find the total price of the table saw. a. The purchase price is $ b. Andrea has a particularly old bike, and she has not lubricated the chain orgears. This causes friction inside the gears as she rides. She begins coasting onflat ground at a speed of 10 m/s, and after a few seconds is only going 8 m/s.How much energy has been converted to heat? (1 point) (The combined mass is 50kg)c. Andrea is going 10 m/s toward a hill. She coasts up the hill without pedaling. Iffriction causes 10% of her energy to be converted to heat inside the gears, howhigh up the hill will she be able to coast? (2 points) Which of the following statements is a point of view held by both the Point and Counterpoint articles? Which of these civilization would you want to live in and why. a line intersects the points (2,2) and (-1, 20).What is the slope of the line in simplest form?m = _ consider the assembly line of a laptop computer. the line consists of 10 stations and operates at a cycle time of 2.00 minutes per unit. their most error-prone operation is step 2. there is no inventory between the stations, because this is a machine-paced line. final inspection happens at station 10. what would be the information turnaround time for a defect made at station 2? In a well-written paragraph of 5-7 sentences:Identify two rhetorical appeals (ethos, kairos, logos, or pathos) used by Antony; the appeal types may be the same or different. Evaluate the effectiveness of both appeals.Support your response with evidence of each appeal from the text. methane gas (ch4) reacts with oxygen (o2) to produce water vapor and carbon dioxide. what volume of water (h2o) and carbon dioxide (co2) will be formed from the complete reaction of 3 l of methane with oxygen if all the gases are held at the same temperature and pressure? group of answer choices Use the multiplication method to solve the following systems of equations. c + 3t = 7 and 3c 2t = 125x 4z = 15 and 3x + 2z = 214m + 3n = 50 and 2m + n = 102p 4q = 18 and 3p + 5q = 223a + 4b = 51 and 2a + 3b = 37