Answer:
We have the numbers:
2.57×10^4 and 2.57×10^−1
The first thing we can see is that the first number exponent is 4, and the second number's exponent is -1, so the difference between is of 5.
If we calculate the quotient between the numbers we have:
(2.57×10^4)/( 2.57×10^−1) = (2.57/2.57)*(10^4/10^-1) = 1*10^(4 - (-1)) = 10^5
Then the first number is 10^5 times bigger than the second number, then the first number is 100,000 greater than the second one.
The length of a line segment is 13 units one end point of a line segment is(-3,7) find four. Second being the other and points of the line segment
Final answer:
The question involves finding the coordinates of the second endpoint of a line segment with a known length and one endpoint, which can be solved using the distance formula or the Pythagorean theorem. Two-dimensional path questions often require calculating straight-line distances by applying the Pythagorean theorem to right triangle setups. In coordinate geometry, the position vector describes a point's location, with its magnitude being the straight-line distance to the origin.
Explanation:
The student is likely asking to find possible coordinates for the other endpoint of a line segment with a known length and one given endpoint. To solve such problems, we typically use the distance formula, which is based on the Pythagorean theorem to determine the coordinates of the second point. For instance, if the line segment is horizontal or vertical, we would just add or subtract the length from the appropriate coordinate of the known endpoint. However, if the line segment is diagonal, we would need to determine the direction and apply the length as the hypotenuse of a right triangle, then calculate the second point's coordinates using trigonometric ratios or algebraic manipulations based on the Pythagorean theorem.
A two-dimensional path problem typically requires the use of the Pythagorean theorem to find the straight-line distance between two points, such as after walking a certain number of blocks east and north. By constructing a right triangle with the walked blocks forming the legs, the hypotenuse represents the straight-line distance.
The coordinates of a point in two or three dimensions can be interpreted as components of a vector, known as the position vector. This vector has both magnitude and direction, with its magnitude representing the straight-line distance from the point to the origin, calculable through the Pythagorean theorem by taking the square root of the sum of the squares of the coordinates.
find the middle integer if the sum of the greatest and the least of the three consecutive integers is 82
Suppose you had to find 4 x 57. How are the expanded algorithm and the standard algorithm alike? And how are they different?
The expanded algorithm and the standard algorithm are both methods used to multiply two numbers, but they differ in how the calculations are organized and performed.
Explanation:The expanded algorithm and the standard algorithm are both methods used to multiply two numbers. They are alike in that they both involve multiplying the digits of the numbers together and then adding the products. For example, in the problem 4 x 57, both algorithms would multiply 4 by 7, then by 5, and then add the products together.
The difference between the two algorithms lies in the way they organize the calculations. The expanded algorithm separates the numbers into place values (ones, tens, etc.) and performs the multiplication and addition step by step. The standard algorithm, on the other hand, stacks the numbers vertically and performs the multiplication and addition in a more condensed and efficient way.
Overall, the expanded algorithm is often used as a stepping stone to understanding the concept of multiplication, while the standard algorithm is the more efficient method commonly used in practice.
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A running club has 270 members. There are 25% more men than women in the running club.
a) How many men are in the running club?
b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
the sum of the page numbers on the facing pages of a book is 69. what are the page numbers.
what is 46841 rounded to the nearest hundred
How many ounces go into a pound
Jefferson High School has a student body of 6⁴ students. Each class has approximately 6² students. How many classes does the school have? Write the answer as one power.
an airplane that can hold 63 passengers is separated into 3 sections .each section holds the same number of passsengers write a division sentence to corectly describe the situation
An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth 2.3×105 dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago
Math help please!?!?!?!??!
Last year there were 225 employees and 25 supervisors at Corpcon Company. If 27 more employees are hired, how many supervisors need to be hired in order to keep the same ratio?
What Is 1/2 Divided By 2.29
A tile pattern has 5 tiles in figure 0 and adds 7 tiles in each new figure. write the equation of the line that represents the growth of this pattern.
A recipe needs the following dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips. How many total cups of dry ingredients are in the recipe?
If recipe needs the dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips then [tex]1\frac{1}{4}[/tex] total cups of dry ingredients are in the recipe.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a recipe needs the following dry ingredients:
1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips
Flour=1/4
Sugar=3/4
Chocolate chips =1/4
We need to find the total cups of dry ingredients are in the recipe.
To find this we just needed to add all the ingreadients.
Flour+sugar+Chocolate chips
1/4+3/4+1/4
5/4
The improper fraction 5/4 can be written as [tex]1\frac{1}{4}[/tex]
Hence, [tex]1\frac{1}{4}[/tex] total cups of dry ingredients are in the recipe.
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What numbers are 1.4 units from −3.2 on a number line?
it's -4.6 not and -2.2
Sarah and Rico both collect rocks. If Sarah has three times as many rocks as Rico, and she has 84 rocks, how many rocks does Rico have?
Susan is buying supplies for a party. If spoons only come in bags of 8 and forks only come in bags of 6, what is the least number of spoons and the least number of forks she can buy so that she has the same number of each? asap and tell my how you got the answer please
Is 13 and 26 relatively prime?
taxi fare is $2.00 plus $1.10 per mile. What is the equation for that?
The taxi fare equation is F = 2.00 + 1.10m, where F is the total fare and m is the number of miles traveled.
The equation for taxi fare, which is $2.00 plus $1.10 per mile, can be represented in a linear equation form. Let F be the total fare, and m be the number of miles traveled. The equation that represents this scenario is:
F = 2.00 + 1.10m
The base fare of $2.00 is a fixed charge, while $1.10m indicates the variable charge, which depends on the number of miles traveled. To calculate the total fare for any given trip, you would multiply the number of miles by $1.10 and then add the base fare of $2.00.
Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid-ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can kip make?
1 1/2 Batches
2 Batches
3 Batches
5 Batches
5 1/3 Batches
Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.
A cup is equal to 8 fluid ounces. If Kip has a 6-fluid-ounce bottle of lemon juice and the recipe calls for 1/4 cup, we need to convert 1/4 cup to fluid ounces. Multiplying 1/4 by 8 gives us 2 fluid ounces. So, Kip has 2 fluid ounces of lemon juice in the bottle. Now we can divide the total amount of lemon juice in the bottle by the amount required for each batch of the recipe, which is 2 fluid ounces. Therefore, Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.
which property is shown by 6+9=9+6?
distributive property
commutative property of addition
identity property of addition
Associative property of addition
Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.
Which equation can be used to find x, the length of the shorter leg?
Answer:
D. x2 + (x + 7)2 = 169
Step-by-step explanation:
Heeeeeeeelp!!!!!!!!!!!
1/3 (21 - 3a) = 6 - 8
a) All real numbers
b)no solution
c) -1
d) 0
Answer:
what the worls
Step-by-step explanation:
what the worls
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?
In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 17.16 kilograms. What was the percent the puppy weight increased?
Any help on this one?
A number n is multiplied by 3. The result is the same as when n is divided by 3. What is the value of n
Aurelia is buying a new computer. The shipping cost is 8% of the purchase price. If Aurelia's as computer cost $585, how much will it cost to have it shipped?
The solution is $ 46.80
The cost of the shipping of Aurelia's computer is $ 46.80
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given as
Let the cost of Aurelia's computer be = $ 585
And , the percentage of cost of shipping Aurelia's computer = 8 % of cost of computer
So , the cost of shipping is given by the equation ,
Cost of shipping the computer = percentage of cost of shipping Aurelia's computer x cost of Aurelia's computer
Substituting the values in the equation , we get
Cost of shipping the computer = 585 x ( 8/100 )
Cost of shipping the computer = 585 x 0.08
Cost of shipping the computer = $ 46.80
Therefore , the value of A is $ 46.80
Hence , The cost of the shipping of Aurelia's computer is $ 46.80
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A real estate agent recieved a $17,500 commision on the sale of a $350,000 house on Walnut Street. The same agent recieved a $20,000 commission on the sale of a house on Center Ave. What was the sale price of the house on Center Ave? A: $100,000 B:$370,000 C: $400,000 D: $450,000
Answer:
Opton C: $400,000
Step-by-step explanation:
A real estate agent received a $17,500 commission on the sale of a $350,000 house.
We will calculate the percentage of the commission.
[tex]\frac{17,500}{350,000}\times 100[/tex]
= 0.05 × 100
= 5%
Let the value of the house on Center Ave be x
Therefore, 5% of x = $20,000
= 0.05x = 20,000
x = [tex]\frac{20,000}{0.05}[/tex]
x = $400,000
The sale price of the house on Center Ave is $400,000