Answer:
A single sheet of paper should weigh: 0.00645 pound or [tex]6.45*10^{-3}[/tex] (in scientific notation)
Step-by-step explanation:
Divide 3.225 (the weight of the ream of paper) by 500 (the amount of paper in a ream).
If you need the scientific notation form, simply move the decimal point/place right or left until you end up with a whole number that is between 1 and 10 (in this case, 3 times to the right), then determine what power of 10 it should be, depending on the number of times you moved the decimal place (in this case, the power is -3).
The power/exponent is determined by the direction you have to move your decimal point, right=negative and left=positive. For example, if you started off with the number 6450, you would move the decimal point 3 times to the left and your power would be positive 3, which results in [tex]6.45*10^{3}[/tex].
Hope this helps!
An is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Which word in the problem indicates that a negative integer should be used?
Answer:
Descends
Step-by-step explanation:
The word descend is what indicates that a negative integer should be used.
When we talk about height we should be regarding it in increments which makes its integers positive, that is something that increases. But the question says descends, descends means a reduction in height. which is a way of describing height in an opposite or negative direction.
decendsStep-by-step explanation:
Pls help I never did this before
Answer:
16 and 64
Step-by-step explanation:
When you sqaure root 16, you get 4
When you cube root 64, you get 4
Answer:
[tex]\sqrt{16}[/tex] and [tex]\sqrt[3]{64}[/tex]
Step-by-step explanation:
let me know if u need this explained
Is 5.231 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Hope This Helps :)
In city A, the temperature rises 9° F from 8am then the temperature drops 8°F from 9am to 10am in city B the temperature drops 1°F from 8am to 9am then the temperature drops 3°F from 9am to 10am write an expression that represents the change In temperature from 8am to 10am for each city. Simplify and interpret each sum. Which expression represents the change in temperature for city A?
Answer:
For City A, the expression for temperature change is 9 + (-8)
The amount the temperature changes for City A = 1°F
For City B, the expression for temperature change is -1 + (-3) = -4°F
The amount the temperature changes for City B = -4°F
Step-by-step explanation:
The given information are;
In City A, the temperature rise from 8 am to 9 am = 9°F
In City A, the temperature drop from 9 am to 10 am = 8°F
In City B, the temperature drop from 8 am to 9 am = 1°F
In City B, the temperature drop from 9 am to 10 am = 3°F
The expression for that represents the temperature change from 8 am to 10 am is therefore;
For City A
Temperature change from 8 am to 10 am are
8 am to 9 am = +9°F
9 am to 10 am = -8°F
Sum, change from 8 am to 10 am = 9 + (-8) = 1°F
For City B
Temperature change from 8 am to 10 am are
8 am to 9 am = -1°F
9 am to 10 am = -3°F
Sum, change from 8 am to 10 am = -1 + (-3) = -4°F
Got another question for you guys! What is 12.5 x 4.2?
Answer:
52.5
Step-by-step explanation:
Find the absolute value |6|
Answer:
6
Step-by-step explanation:
Absolute value is the distance from 0, 6 is 6 units from 0
What do you think is going to be the most challenging part of Alg.1 and why?
Answer:
I think Factoring is going to be the most challenging part of Alg.1 because it seems like there are a lot of steps before finding the answers.
Explanation:
When I took algebra I, the most difficult part for me was inequalities.
I had been used to linear equations and even quadratic equations, where the operative rule is "keep the equal sign sacred" (whatever you do to one side must also be done to the other side). Once I figured out that multiplying or dividing inequalities by a negative number reverses the comparison, I was good to go.
__
These days, algebra I also includes a good dose of statistics. That seems to trip up a number of people, including me. The main thing, I think, is to stay clear on the definitions, and whether you're talking about a population or a sample. A lot of the math is easily handled by a graphing calculator or spreadsheet, so familiarity with the use of those is a great bonus (almost required).
__
You will be better equipped to go into algebra I if you have memorized multiplication tables, rules of divisibility, some mental math procedures, and squares and cubes of small integers (square ≤ 20^2, cubes ≤ 10^3). This will help immensely when it comes to factoring. Similarly, you need to be familiar with arithmetic involving decimals, fractions, and mixed numbers. Numbers in one form should offer you no more challenge than numbers in any other form.
__
A big challenge for many people is the fact that math builds on previous learning. If you don't learn the early stuff well, and practice it a lot, then you will find you have difficulty drawing on that knowledge to make the later stuff easier. It's NOT a "test and forget" sort of deal. It's a "remember this forever" sort of deal.
what is the reciprocal of -5.2/2.5 ?
need an answer fast please
Answer:
− 0.48076923
Step-by-step explanation:
4(3x-1)=9-x
Thank you !
Step-by-step explanation:
4(3x-1)=9-x
12x-4=9-x
12x+x=9+4
13x=13
x=13/13
x=1
Números multiplicados que den 10?
The numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division.In math, multiply means the repeated addition of groups of equal sizes.Given is two multiply two numbers to give 10.
The numbers that multiply to give 10, we get -
2 x 5 = 10
5 x 2 = 10
2.5 x 4 = 10
Therefore, the numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
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{Question in english is given below -
Multiplied numbers that give 10}
What is (5x10 + 24÷12)
Answer:52
Step-by-step explanation
Answer:
Hey!
Your answer is 52
Step-by-step explanation:
5 x 10 = 50
24 ÷ 12 = 2
Because they are in the same brackets, you do the calculations simultaneously!
50 + 2 = 52
HOPE THIS HELPS!
The statement “1cm represents 2m” is the scale of the drawing. It can also be expressed as “1cm to 2m” or “1cm for every 2m.” What do you think the scale tells us?
Answer:
A scale is a way to resize drawings or figures to make them fit into a particular size.
Step-by-step explanation:
In 2D drawing or diagrams, a scale factor greater than 1 enlarges the object, while a scale factor between 0 and 1 shrinks the objects, also using a scale factor of 1 changes nothing or leaves the drawing the way it is.
Furthermore, scales are represented in ratio form 1:2, telling us that say 1cm in the virtual environment or paper represents 2km in reality
a polynomial of degree 4 in y has at most
A: 4terms
B: 3terms
C: 5 terms
D: 8 terms
Answer:
C.
Step-by-step explanation:
The highest term must be of x^4, then decreasing to x^3, x^2, x and the constant term.
Altogether there are at maximum 5 terms.
A polynomial of degree 4 in y has at most 5 terms, the correct option is C.
What is a Polynomial of degree 4 ?A polynomial is an expression of variables and mathematical operators.
The polynomial in degree 4 can be written as
ay⁴ +by³ +cy² +dy +e
The polynomial of degree 4 can have 5 terms, 4 in decreasing power of y and a constant.
To know more about Polynomial
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The Zoo charges $14 per visit for non-members. To become a member of the Zoo you will be charged a $36 one-time fee $2 per visit. At what number of visits will a member and non-member pay the same amount?
Answer:
7
Step-by-step explanation:
You divide the number of visits and the price. 14÷2=7
Solve the equation: only write the number is the box
2( 5x+2)=54
Answer:
x = 5
Step-by-step explanation:
Step 1:
2 (5x + 2) = 54
Step 2:
10x + 4 = 54
Step 3:
10x = 50
Answer:
x = 5
Hope This Helps :)
Answer:
x = 5
Step-by-step explanation:
2(5x+2)=54 (distribute)
10x+4=54 (subtract the 4 on both sides)
-4 -4
10x = 50 (divide 10 on both sides)
10 10
x = 5
6x* 10 = 160
what the result of X ?
Answer:
x=8/3
Step-by-step explanation:
6x*10=160
6x=16
x=16/6
x=8/3
Answer:
[tex]x = 8 \div 3 \\ \\ [/tex]
find the additive inverse of 1/2 + 1/6 + 1/12
Answer:
3/4
Step-by-step explanation:
remove parentheses by applying the distributive property 10x(4 - 3x)
Answer:
40x - 30 x²
Step-by-step explanation:
When x is multiplied by x it become x².
10x(4 - 3x)
10x times 4 = 40x
10x times -3x = -30x
40x - 30 x²
What is the distance between the points (−3, 5) and (−3, −9)? A) 4 B) 6 C) 11 D) 14
Answer: D)14
Step-by-step explanation: The x-factors are both -3 but the y-factors are different so you count the distance between them
Appreciate any help ^^ completely lost
Answer:
B
Step-by-step explanation:
4x²/2 √x^4/4x²
2x²√x²/4 ( equal to C)
4x²/2(x²/2x)
2x²(x²/2x)=
2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3
PLEASE HELP!!
Draw a line segment between each vertex of ABCD and the corresponding vertex of AEFBEFCEFDEF.
There are four line segments in all. Then move polygon ABCD around the coordinate plane. What do
you observe about the angle formed between the line segments you drew and the line of reflection,
EF? Use the tools available in GeoGebra to confirm your hypothesis.
Answer:
Each line segment joining a vertex of ABCD to the corresponding vertex in the image is perpendicular to the line of reflection, EF. That is, the lines intersect at a 90 degree angle.
Choose the best description of the ratio:
220 seventh grade students
630 middle school students
is a
DRAG & DROP THE ANSWER
<
part-to-part ratio
part-to-whole ratio
rate
unit rate
The floors in an apartment building belong to different ____.
a.
rays
b.
segments
c.
planes
d.
points
Answer:
B. Segments
Step-by-step explanation:
"...divide (something) into separate parts or sections."
Definition of Segment
Hope it helps! :3
Answer: it would have been segment or planes Im not 100% sure
Answer the question please for me!!!
Answer:
4
Step-by-step explanation:
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water. Find the height of the dock.
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :
[tex](2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0[/tex]
Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
Pang, Ruben, Adela, and Tony is the correct answer.
Step-by-step explanation:
I got it right on edge2021
The order of differences ordered from least to greatest
Pang, Ruben, Adela, Tony.
What is Ascending Order?The arranging of numbers from least to largest is known as ascending order. For instance, the digits 3, 15, 28, and 49 are listed in ascending order.
Given:
Age Difference
Adela: 0.75 year
Tony: 1 1/10 years = 11/10= 1.1 year
Pang: –0.8 year
Ruben: -1 / 2 year = -0.5 year.
So, the differences ordered from least to greatest
-0.8 < -0.5 < 0.75 < 1.1
Hence, Pang, Ruben, Adela, Tony.
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Jamal borrowed 4000 to buy a used car he borrowed some of the money from a bank that charged 9.2% simple interest and the rest from a friend who charged 12% simple interest. If the total interest for a one year loan was 424.00 how much did jamal borrow at each rate
Answer:
2000 ; 2000
Step-by-step explanation:
Given the following :
Total amount borrowed = 4000
Total interést paid = 424
Simple interést = (principal * rate * time)
Rate 1 = 9.2% = 0.092
Rate 2 = 12% = 0.12
Let amount borrowed at 9.2% = x
Amount borrowed at 12% = y
x + y = 4000 - - - - (1)
x * 0.092 + y * 0.12 = 424
0.092x + 0.12y = 424 - - - - (2)
from (1):
x = 4000 - y
0.092(4000 - y) + 0.12y = 424
368 - 0.092y + 0.12y = 424
368 + 0.028y = 424
0.028y = 424 - 368
0.028y = 56
y = 56/0.028
y = 2000
x + y = 4000
x = 4000 - 2000
x = 2000
What is this? k/8-5≥-6
Answer:
k≥-8
Step-by-step explanation:
The 5 staring members of the basketball team are lining up for a picture.How many different ways can the players be lined up for the picture?
Answer:
120 different waysStep-by-step explanation:
If 5 staring members of the basketball team are lining up for a picture, the number of different ways the players can be lined up is expressed as 5!.
5! = 5*4*3*2*1
5! = 20 * 6
5! = 120
Hence the number of different ways that the players can be lined up for the picture is 120 different ways
Please Help me with this Problem
Answer:
D
Step-by-step explanation:
When y = 0 then we are on the x- axis thus x = - 2 and x = 3 are zeros
The corresponding factors are (x + 2) and (x - 3)
The corresponding equation is the product of the factors, that is
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D