The added zeros when changing a number from scientific notation to expanded notation are usually not considered significant. They primarily serve as placeholders and do not indicate precision of measurements.
Explanation:In the field of Mathematics, specifically when working with numbers in scientific notation and expanded notation, the concept of significant zeros comes into play. When you convert a number from scientific notation to expanded notation, zeros that are included in this process are not considered to be significant. Rather, the concept of significant zeros mostly applies to measurements and the precision of those measurements. For example, in the measurement 300.0, the zero at the end is significant because it shows the measurement was precise to the tenth's place. However, in changing a number from scientific to expanded notation, any added zeros primarily serve as placeholders and are typically not considered significant.
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Sections of pre-fabricated fencing are each 4 1/3feet long how long are 6 1/2 sections placed end to end
The price of 6 pretzels is $5.10. Simon and Sofia bought 8 pretzels and shared the cost equally. How much did each person pay?
30 + (.0825 x 30) + (15% x 30) =
What is the image of G for a dilation with center (0,0) and a scale factor of 1?
What is the place value of the 4 in the number 5,679.04
Each side of a square is increasing at a rate of 5 cm/s. at what rate is the area of the square increasing when the area of the square is 49 cm2? 70 cm2/s
Let w(s,t)=f(u(s,t),v(s,t)) where u(1,0)=−6,∂u∂s(1,0)=5,∂u∂1(1,0)=7 v(1,0)=−8,∂v∂s(1,0)=−8,∂v∂t(1,0)=6 ∂f∂u(−6,−8)=−1,∂f∂v(−6,−8)=2
Is 25/99 a terminating or repeating decimal
The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters , find the dimensions of the rectangle
About 11/12 of a golf course is in the fairways, 1/11 in the greens, and the rest in the trees. What part of the golf course is in the trees?
[tex]\frac{1}{132}[/tex] part of the golf course is in the trees.
To find out what part of the golf course is in the trees, we need to add the fractions of the golf course that are in the fairways and the greens, and then subtract that sum from 1 (which represents the whole golf course).
First, we add the fractions of the golf course that are in the fairways and greens:
Fairways: [tex]\frac{11}{12}[/tex]Greens: [tex]\frac{1}{11}[/tex]To add these fractions, we must first find a common denominator. The denominators are 12 and 11, so the common denominator is 12 x 11 = 132.
Convert each fraction to have this common denominator:
[tex]\frac{11}{12}[/tex] = [tex]\frac{121}{132}[/tex][tex]\frac{1}{11}[/tex] = [tex]\frac{12}{132}[/tex]Now, add these converted fractions together:
[tex]\frac{121}{132}[/tex] + [tex]\frac{12}{132}[/tex] = [tex]\frac{133}{132}[/tex]
Since the sum [tex]\frac{133}{132}[/tex] is greater than 1, we convert it to a whole number plus a fraction. [tex]\frac{133}{132}[/tex] = 1 + [tex]\frac{1}{132}[/tex].
Now, to find the part of the golf course in the trees, subtract this sum from the whole golf course:
1 - 1 + [tex]\frac{1}{132}[/tex] = [tex]\frac{1}{132}[/tex]
So, [tex]\frac{1}{132}[/tex] of the golf course is in the trees.
Complete question:
About [tex]\frac{11}{12}[/tex] of a golf course is in the fairways, [tex]\frac{1}{11}[/tex] in the greens, and the rest in the trees. What part of the golf course is in the trees?
1. 3/5x -7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55
2.When Patrick and Cameron went bowling at Victory Lanes, they spent a total of $42. This included rental of shoes at $3.50 per pair. Patrick bowled 2 games, and Cameron bowled 3 games.
How much did each game cost?
A. $6.00
B. $7.00
C. $7.70
D. $8.75
3.A local movie theater offers a special deal for birthday parties. The price, which covers the cost of the tickets and a box lunch, includes a flat fee of $75 plus $5 per ticket. Sarah’s parents spent $150 altogether at the theater to celebrate her birthday.
Which equation can be used to determine how many children, x, were in the group?
A. 75/150=5x
B. 150/75=5x
C. 150 = 5x – 75
D. 150 = 5x + 75
4. 35 + 0.25x = 53.75
A. x = 75
B. x = 140
C. x = 215
D. x = 250
5.T he perimeter of this isosceles triangle is 47 cm.
top point. (B) left bottom point (A) right bottom point (C) in between 12cm
What is the length of each of its legs (it doesn't have legs)?
A. 15 cm
B. 17.5 cm
C. 19.5 cm
D. 35 cm
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation
Last year, Amanda had
$10,000
to invest. She invested some of it in an account that paid
6%
simple interest per year, and she invested the rest in an account that paid
10%
simple interest per year. After one year, she received a total of
$760
in interest. How much did she invest in each account?
-3.1 * (- 2.9) Please help! Math.
You are planning a party and want to know how many cans of soda to buy. a genie offers to tell you either the mean number of cans guests will drink
Convert 604,800 seconds to weeks using Dimensional analysis
Suppose you buy a piece of office equipment for $9,000.00. After 5 years you sell it for a scrap value of $2,000.00. The equipment is depreciated linearly over 5 years. The value of the piece of equipment after 2 years is (rounded to the nearest whole dollar)
The value of the piece of equipment after 2 years is $6,200.00.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
The equipment is depreciated linearly, which means that its value decreases at a constant rate each year. We can find the rate of depreciation by subtracting the scrap value from the purchase price, and then dividing by the number of years of useful life:
Rate of depreciation = (Purchase price - Scrap value) / Useful life
Rate of depreciation = (9000 - 2000) / 5
Rate of depreciation = 1400
This means that the equipment loses $1,400 of value each year. After 2 years, the value of the equipment will be:
Value after 2 years = Purchase price - (Rate of depreciation x Number of years)
Value after 2 years = 9000 - (1400 x 2)
Value after 2 years = 6200
Therefore, the value of the piece of equipment after 2 years is $6,200.00.
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Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose the entire history of Earth is represented with a 1000-meter-long timeline, with the birth of Earth on one end and today at the other end.
2 billion years is represented by how many meters of the timeline?
At full power, how long would it take for the car to accelerate from 0 to 64.0 mph ? neglect friction and air resistance. express your answer in seconds.
"sam's furniture was destroyed by a fire. the furniture cost $1200 when it was purchased, but similar new furniture now costs $1800. assuming the furniture was 50 percent depreciated, what is the actual cash value of sam's loss?"
The actual cash value of Sam's furniture loss is $600.
To calculate the actual cash value of Sam's furniture loss, we first determine the amount of depreciation applied to the original purchase price. Since the furniture was 50 percent depreciated, we calculate this amount to be 50% of $1200, which is $600. This means the depreciated value of the furniture is $1200 - $600 = $600. However, because the replacement cost of new, similar furniture is now $1800, this does not affect the actual cash value of the lost furniture, which remains at the depreciated value of $600. So the actual cash value of Sam's loss is $600.
You purchase three packs of batteries at $11.99/pack. You have a coupon for 10% off and the sale tax is 7% how much is the total cost of your purchase?
The answer is 34.64. C.
The entire purchase of the three items cost about $34.
How to determine the total cost?The given parameters are:
The cost of one packs of batteries is $11.99/pack.
Coupon = 10% off
The total cost is then calculated using:
Total = (three packs of batteries) * (1 - Coupon)
So, we have:
Total = (11.99 + 11.99 + 11.99 ) * (1 - 10%)
Evaluate,
Total = 34.47
Approximate
Total = 34
Hence, the entire purchase of the three items cost about $34.
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Find two numbers with a sum of 20 and a difference of 14.
Students were surveyed about their favorite colors one fourth of the students perfered red , one eighth of the students perferred blue, and three fifth of the remaining students perferred green . if 15 students perferred green , how many students were surveyed
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes. Box 1: The length is 3 times the width. Box 2: The length is 1 less than 4 times the width. The dimensions of the base of Box 1 are: width: x; length: 3 width: x; length: x + 3 width: x; length: x – 3 width: x; length: 3x
Answer:
D. Width = x and Length = 3x
Step-by-step explanation:
We are given that,
The length of Box 1 is 3 times the width of Box 1. ..................(1)
Let the width of Box 1 = x
So, from (1), we have,
Length of Box 1 = 3 × Width of Box 1
i.e. Length of Box 1 = 3x
Thus, the dimensions of Box 1 are : Width = x and Length = 3x
Hence, option D is correct.
In this exercise we have to identify which of the alternatives best represents the equation, like this:
Letter D
So we have that it is the area of a box, where we have:
The length of box is 3 times widthThe width of the box is XSo is the same as:
[tex]L= 3W\\W=X\\L=3X[/tex]
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Each side of a square is lengthened by 2 inches. the area of the new, larger square is 121 square inches. find the length of a side of the original square.
The length of the original square is 9 inches
What is a square?A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.
Area of square = x * x
where x is the side of the square
According to the question,
The area of the new square is 121 square inches.
Let the side of the original square is = x inches
Then the side of the new square is = x + 2 inches
Area of the new square = ( x + 2 )²
121 = ( x + 2 )²
11 = x + 2
x = 9 inches
Therefore, The length of the original square is 9 inches.
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The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). Which expression represents the volume of the box? v=(2a+11)(5a-12)(a+6) v=(10a^2-24a+55a-132)(a+6) v=(10a^3+60a^2-24a^2-144a+55a^2+330a-132a-792 v=10a^3+60a^2-24a^2+55a^2-144a+330a-132a-792 v=10^3+91a^2+54a-792
All of the given expressions for v are various stages in the process of "simplifying" the product of length, width, and height. Each and every one of them represents the volume of the box.
Two negative integers are five minutes apart on the number line, and their product is 126. What is the sum of the two integers?
Given that the points (-1, 10), (2, 10), (2, -2), and (-1, -2) are vertices of a rectangle, what is the ratio of the rectangle's length to its width?
10 11/12 + 7 1/4 =
A. 3 8/12
B. 3 2/3
C. 17 1/4
D. 18 1/6
a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square