Please help this is due tmrw.
Standard form.
1. Write the following measures in metres. Express each measure in standard form.
(a) The distance from the Earth to the Moon is 384 thousand kilometres while that to the sun is 150 million kilometres.
(b) The diameter of an atom ranges from 3x10^-8mm to 10^-7mm
Answers
The diameter of an atom ranges from 3 x \(10^-9\) mm to 1 x \(10^-7\) mm in standard form.
What is distance?Distance is a measure of how far apart two objects or points are in space. It is a scalar quantity, meaning it has only magnitude and no direction.
According to question:(a) The distance from the Earth to the Moon is 384 thousand kilometres.
To write this distance in standard form, we can first divide by 1000 to convert to kilometers, giving:
384,000 km
To express this in standard form, we need to write it as a number between 1 and 10 multiplied by a power of 10. To do this, we can move the decimal point three places to the left, and multiply by 10³, giving:
384,000 km = 3.84 x \(10^5\) km
Similarly, the distance from the Earth to the Sun is 150 million kilometers. To express this in standard form, we can move the decimal point six places to the left, and multiply by \(10^6\), giving:
150,000,000 km = 1.5 x \(10^8\) km
(b) The diameter of an atom ranges from 3x\(10^-8\) mm to \(10^(-7)\) mm.
To write these diameters in standard form, we need to express them as a number between 1 and 10 multiplied by a power of 10.
For the lower end of the range, we can write:
3 x \(10^-8\) mm = 0.3 x \(10^-7\) mm = 3 x \(10^(-9)\) mm
For the upper end of the range, we can write:
\(10^-7\) mm = 1 x \(10^-7\) mm
Therefore, the diameter of an atom ranges from 3 x \(10^-9\) mm to 1 x \(10^-7\) mm in standard form.
To know more about distance visit:
https://brainly.com/question/15256256
#SPJ1
Related Questions
what are the steps to solve this
Answers
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
Identify a pair of vertical angles in the figure
A. Angle ADE and Angle ADB
B. Angle EDC and angle DBA
C. angle ADE and angle EDC
D. Angle ADE and angle BDC
Answers
Answer:
A pair of vertical angles are ADE and BDC. Vertical angles are located across from each other.
Answer:
D. Angle ADE and angle BDC
Step-by-step explanation:
Vertically opposite angles are equal.
Angle ADE and angle BDC are a pair of vertical angles.
Graphing Polynomial Functions
Graph the following functions by making a table
of values
f(x)=x^5-3x^4+9x^3-x^2+2
Answers
Answer:
table and graph attached
Step-by-step explanation:
Solve the system using substitution.
y - 3x = 1
2y - X = 12
([?], [ ?])
Answers
Answer:
x = 2 , y = 7
Step-by-step explanation:
Since
y-3x = 1
y = 3x+1 - equation 1
2y-x = 12 - equation 2
Since we are using substitution method,
we will substitute equation 1 into equation 2.
\(2(3x + 1) - x = 12 \\ 6x + 2 - x = 12 \\ 5x + 2 = 12 \\ 5x = 12 - 2 \\ 5x = 10 \\ x = \frac{10}{5} \\ = 2\)
Now we substitute x into equation 1 to find y.
\(y = 3(2) + 1 \\ = 6 + 1 \\ = 7\)
Therefore x = 2, y = 7.
expresa en metros
20km=
Answers
Answer:
20000 m
Step-by-step explanation
multiplica el valor de longitud por 1000
Answer:
20000m
Step-by-step explanation:
1k = 1000
20k = 20*1000
= 20000
translate then solve:five times the difference of twice and number and three decreased by the sum of the number and 8 equals 13
Answers
Answer: x = 4
Step-by-step explanation:
Translating the problem into mathematical terms:
Let's call the number x. Then the problem can be written as:
5 * (2x - 3) - (x + 8) = 13
Expanding the left side of the equation:
5 * 2x - 5 * 3 - x - 8 = 13
Simplifying the left side of the equation:
10x - 23 - x - 8 = 13
Combining like terms:
9x - 31 = 13
Adding 31 to both sides of the equation:
9x = 44
Dividing both sides of the equation by 9:
x = 4.88888...
Since x has to be a whole number, we round down to the nearest whole number:
x = 4
Therefore, the number that satisfies the equation is 4.
Round 1688 to the nearest hundred
Answers
1688 to the nearest hundred would be 1700
Answer:
The answer is 1700
Step-by-step explanation:
Have a great day.
Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake (Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively. a. Formulate the Revenue function If it takes 4 cups of milk, 7 cups of sugar, 1 egg, 3 cups flour & 4 cups cream to make Cake 1; 3 cups milk, 4 cups sugar, 2 egg, 4 cups flour & no cream to make Cake 2; 1 cups milk, 5 cups sugar, 3 eggs, 2 cups flour & 1 cup cream to make Cake 3; 5 cups milk, no sugar, 4 eggs, 4 cups flour & 5 cups cream for Cake 4; & lastly 4 cups milk, 8 cups sugar, 5 eggs, 6 cups flour & 3 cups cream to make Cake 5; Which types of cakes to be baked such that we get maximum Revenue? Keep in mind that the store has availability of maximum 280 cups milk, 300 cups sugar, 80 eggs, 250 cups flour & 190 cups cream at their disposal. b. Formulate the constraints of the scenario. c. Solve the system if linear inequalities using Excel Solver.
Answers
A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
How did we get these values?To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:
a. Revenue Function:
Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.
The revenue function can be formulated as:
Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)
In equation form:
Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
b. Constraints:
The constraints for the availability of ingredients can be formulated as follows:
Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280
Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300
Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80
Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250
Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190
Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
c. Solve the system of linear inequalities using E x c e l Solver:
To solve the system of linear inequalities using E x c e l Solver, follow these steps:
1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:
| | A | B |
|-----|-----------|-----------------|
| 1 | Cakes | Selling Price |
| 2 | Cake 1 | $9 |
| 3 | Cake 2 | $12 |
| 4 | Cake 3 | $4 |
| 5 | Cake 4 | $5 |
| 6 | Cake 5 | $8 |
| | | |
| | | Formula |
| 9 | Milk | 280 |
| 10 | Sugar | 300 |
| 11 | Eggs | 80 |
| 12 | Flour | 250 |
| 13 | Cream | 190 |
2. In cell B16, enter the formula for the revenue:
=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11
3. In cell B18, enter the formula for the milk constraint:
=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6
4. In cell B19, enter the formula for the sugar constraint:
=7×B2 + 4×B3 + 5×B4
5. In cell B20, enter the formula for the egg constraint:
=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6
6. In cell B21, enter the formula for the flour constraint:
=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6
7. In cell B22, enter the formula for the cream constraint:
=4×B2 + 5×B4 + B5 + 3×B6
8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:
=B2
9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:
=B3
=B4
=B5
=B6
10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.
11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).
12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).
13. Click on the "Add" button in the "Subject to the Constraints" section.
14. In the Constraint window, select the range B18:B22 for the constraint cells.
15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.
16. Set the Solver options as desired, and click on the "Solve" button.
E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.
learn more about excel solver: https://brainly.com/question/31404959
#SPJ1
How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously
Answers
Answer:
\(t = 15.7\)
Step-by-step explanation:
Given
\(Principal = 25000\) --- P
\(Amount = 75000\) --- A
\(Rate = 7\%\) --- R
Required
Determine the time (t)
Using continuous growth formula:
We have
\(A = Pe^{rt}\)
Convert rate to decimal
\(Rate = 7\%\)
\(r = 0.07\)
Substitute values for A, P and r
\(75000 = 25000 * e^{0.07t}\)
Divide both sides by 25000
\(3 = e^{0.07t}\)
Rewrite the exponential function as logarithmic, we have:
\(ln3 = 0.07t\)
Reorder
\(0.07t = ln3\)
Divide both sides by 0.07
\(t = \frac{ln3}{0.07}\)
\(t = \frac{1.09861228867}{0.07}\)
\(t = 15.69\)
\(t = 15.7\)
Hence, the time is approximately 15.7 years
Find the volume of the triangular prism? (PLEASE HELP ILL MARK BRAINLIEST)
Answers
Answer:
▲ Base and height. This is the basic volume equation of a triangular prism: Volume = 0.5 * Base * Height * Length. ...
◣ Right triangle. Probably the most popular type of prism! ...
▲ 3 sides. Volume = 0.25 * √( (a+b+c) * (-a+b+c) * (a-b+c) * (a+b-c) ) * Length.
Step-by-step explanation:
O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answers
Answer:11
Step-by-step explanation:
Fill in the table.
Give four consecutive odd integers:
First Integer
X
The simplified sum of the second and forth integers are
Next Integers
Answers
The simplified sum of the second and forth integers are; -1 + 5 = 4
How to find the integer?An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803
Now, we are given the consecutive integer sequence as;
x, 1, 3, 5
Now, since the integers are consecutive, then the common difference is the same. Thus;
1 - x = 3 - 1
1 - x = 2
x = 1 - 2
x = -1
Sum of first and fourth term = -1 + 5 = 4
Read more about Integers at; https://brainly.com/question/17695139
#SPJ1
1. (My) madre es de Lima, Perú.
Mis
Tu
Mi
2. Pedro es (her) hermano gemelo.
Vuestro
Su
Tu
3.(Your, familiar) hermana es ingeniera.
Tus
Su
Tu
4. Adela y Ana son (your, familiar) primas.
Nuestras
Sus
Tus
5. Sandra es (my) estudiante de inglés.
Nuestra
Mi
Su
6. Ellos son (our) profesores.
Nuestros
Tus
Sus
7. Jaime y David son (my) amigos.
Tus
Mi
Mis
8. (Our) clase es a las once.
Su
Nuestro
Nuestra
9. (His) primo es periodista.
Mi
Su
Tu
10. Candela es (their) madre.
Tu
Mi
Su
11. (Our) profesor es de Chile.
Su
Vuestro
Nuestro
Answers
2. Su
3. Tú
4.Tus
5.Mi
6. Nuestros
7. Mis
8. Nuestra
9. Si
10.Su
11. Nuestro
English literature refers to the body of written or literary works composed in the English language.
It encompasses a wide range of literary genres, styles, and periods, and it has a rich and diverse history that spans centuries.
English literature includes literary works originating from countries like England, the United States, Canada, Australia, and other English-speaking regions.
English literature plays a significant role in the cultural and literary heritage of English-speaking societies, and its influence extends globally. Studying English literature allows individuals to explore different themes, ideologies, and literary techniques while gaining insights into the human condition across various historical and cultural contexts.
To know more about literature here
https://brainly.com/question/1374432
#SPJ2
Find all zeros.
I’m having a complete brain fart
Answers
Here is an idea!
Don't do the assignment, and your teacher will give you a zero. Hence, giving you a zero on the paper and you can tell the teacher you found the zero (the only zero) that is on the paper.
Hope this helps!
Answer:
only one -- YOUR GRADE
2,000 milliliters +2.5 liters+1,500 milliliters+2 liters =
Answers
The final answer is 8 liters (8000 milliliters/1000).
To add these volumes, we need to convert everything to the same unit. We can convert liters to milliliters since 1 liter is equal to 1000 milliliters.
- 2.5 liters can be converted to 2500 milliliters (2.5 x 1000)
- 2 liters is equal to 2000 milliliters (2 x 1000)
Now we can add all the volumes in milliliters:
- 2,000 milliliters
- 2,500 milliliters
- 1,500 milliliters
- 2,000 milliliters
When we add these volumes, we get a total of 8,000 milliliters. However, we can simplify this answer and convert it back to liters by dividing by 1000.
For such more questions on liters
https://brainly.com/question/31070474
#SPJ8
Check off the methods of differentiation required, and complete the derivative.
Answers
Given:
\(f(x)=\sqrt[]{5x^2-2}\)f(X) will be differentiated by chain rule.
\(\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}\)Brittany asked her classmates: How much time, in minutes, do you spend reading each day? Here are the results: 10, 20, 20, 20, 30, 30, 30, 30, 30, 40, 40, 40, 60, 60, 60 Display the data in a line plot, a histogram, and a box plot. Next to each graph, write down something you notice about the data. Upload your completed plots here.
Answers
The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.
Line Plot:
A line plot displays data points on a number line, representing the frequency or count of each value.
In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.
For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.
Histogram:
A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.
The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.
The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.
The height of each bar in the histogram will represent the number of students falling into each interval.
Box Plot:
A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.
The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.
The box will represent the interquartile range (IQR), showing the middle 50% of the data.
The line within the box will represent the median value.
The whiskers will indicate the minimum and maximum values, excluding outliers.
By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.
To learn more about line plot
https://brainly.com/question/16321364
#SPJ8
Evelyn packed this box with 1-inch cubes. Which expression does NOT show how Evelyn can find the volume of the box?
Answers
Answer:
2+3+6 is the incorrect expression
Answer: 2+3+6
Step-by-step explanation:
In a survey, participants were asked how much confidence they had in the economy.
The results were as follows:
Response Number
A great 3,187
deal
Some
9,120
Hardly 5,149
any
What is the probability that a sampled person has either some confidence or a great
deal of confidence in the economy? Write only a number as your answer. Round to
two decimal places (for example: 0.43). Do not write as a percentage.
Answers
Answer:
0.71
Step-by-step explanation:
Great Deal or Some = 12,307
Total Participants = 17,456
Probability = 12,307/17,456 = 0.71
Write an equation in slope-intercept form of the line that passes through (-5, 5) and (5, - 5).
An equation is
Answers
Answer:
y=-5x+5
Step-by-step explanation:
7(x-3)+6=5x-9 please solve the equation fully
Answers
Answer:
I love algebra anyways
The ans is x=3 steps is in the picture with the ans
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
debby collected eight times as many bags of cans as her friend .if her friend collected two thirds of a bag. how many bags did debby collect
Answers
Answer:
5 1/3
Step-by-step explanation:
I caculated 2/3 times 8
Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answers
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !
Currently, Nora is 3 times as old as Damon. In 8 years, she will only be 2 times as old as Damon. How old will Damon be in 8 years?
Answers
Answer:
The answer is 16
Step-by-step explanation:
A washing machine sells for $982.78 in a state that charges 7.85% sales tax and in a city that charges a 3.35% sales tax. What is the total cost of the washing machine?
Answers
Answer:
Step-by-step explanation:
total tax rate = 7.85% + 3.35% = 11.2%
total cost = 1.112×$982.78 ≅$1,092.85
math math math math math math math
Answers
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
learn more on angles here: brainly.com/question/18854964
#SPJ1
The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
Learn more about bisecting of angles on https://brainly.com/question/23984603
#SPJ1
Use Pythagoras' theorem to calculate the length of FG. Give your answer in centimetres (cm) to 1 d.p. 8 cm H 13 cm G
Answers
The length of FG is approximately 15.3 cm.
To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.
According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
\(FG^2 = GH^2 + FH^2\)
Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:
\(x^2 = 8^2 + 13^2\)
\(x^2 = 64 + 169\)
\(x^2\) = 233
To find x, we take the square root of both sides:
x = √233 ≈ 15.26 cm (rounded to 1 decimal place)
Therefore, the length of FG is approximately 15.3 cm.
For such more questions on length of FG
https://brainly.com/question/31613415
#SPJ11
Anna, Betty and Candy shared a box of sweets. Anna took 8 more than 1/3 of the number of sweets in the box. Betty took 18 more than half of the remaining number of sweets . If Candy took the last 6 sweets, how many sweets were there in the box at first?
Answers
Answer: 108
Step-by-step explanation: Let the total number of sweets be x
Therefore, Anna - (x/3)+8
After Anna, remaining amount is x - ((x/3)+8) = 2x/3 + 8
Betty took (2x/3 + 8)/2 + 18 = x/3 + 22
Remaining = x - ((x/3)+8) - (x/3 + 22) = x/3 -30
Candy took the rest which is 6 i.e.
x/3 - 30 = 6
x/3 = 36
x = 108
the radius of a circle is 2 kilometers. What is the circles circumference. Use 3.14 for pie
Answers
Answer: 12.56
Step-by-step explanation:
The ratio of hens to rabbits in Mr. Potter's barn is 3 to 5. How many rabbits are in the barn if there are 27 hens?
Answers
Answer:
45
Step-by-step explanation:
If there's 27, then you have to find the factor.
9 x 3 = 27
9 x 5 = 45