Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
Step-by-step explanation:
These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.
Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:
Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.
Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).
Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².
Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.
Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.
Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.
Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.
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Statements Reasons
Given: Z1 and 22 are supplements,
23 and 24 are supplements,
and 21 24.
Prove: 22 23
m21+ m2 = 180
mZ3+ m 24 = 180
21 and 22 are
.
2124
m21+ m2 2 = m 23+
m24
23 and 24 are supp
1
Statements
Reasons
3
2.
2
1
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
got it correct edge 2021
The proof that m∠2 = m∠3 in the two column proof table is; shown in the various steps and concludes with subtraction property of equality
How to complete the two column proof?We are given;
∠1 and ∠2 are supplements
∠3 and ∠4 are supplements
∠1 ≅ ∠4
Now, since ∠1 and ∠2 are supplements, it means that;
m∠1 + m∠2 = 180° because of the definition of supplementary angles.
Since ∠3 and ∠4 are supplements, it means that;
m∠3 + m∠4 = 180° because of the definition of supplementary angles.
We are told that ∠1 ≅ ∠4
Thus;
m∠1 + m∠2 = m∠3 + m∠1 (Substitution property of equality)
Finally, we can reduce to get;
m∠2 = m∠3 (subtraction property of equality)
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1) Students in Jake's class were numbered in order from 1 to 24. Jake was asked to
choose classmates numbered with multiples of 5 to be in his group. Which
number could be the number of a classmate in his group?
>) 15
>) 16
() 21
>)7
Answer:
15
Step-by-step explanation:
15 is the only number with a multiple of 5.
The Number of classmates in his group is less than 21
What is an inequality?An inequality is an inequation separated by <,>≥,≤. the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given here: Jake's class has 24 students and she is to choose a group which is a multiple of 5
Thus the possible multiples of 5 between 1 and 24 are
5,10,15,20
Therefore all these multiples are less than 21
Hence, The Number of classmates in his group is less than 21
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Alex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has? 0.25q + 0.05(q – 84) = 17.80 0.05q + 0.25(84 – q) = 17.80 0.25(q – 84) + 0.05q = 17.80 0.05(84 – q) + 0.25q = 17.80
Answer:
D
Step-by-step explanation:
The equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Alex has 84 quarters and nickels worth a total of $17.80.
As we know,
1 nickel = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
1 dollar = 100 cents
The amount that Alex = 84 quarters + $17.80
q = 84 quarters + $17.80
q is the number of quarters Alex has.
Remaining nickel value = 84 - q
In cents:
= 0.05(84 - q)
q in cents:
= 0.25q
0.05(84 - q) + 0.25q = 17.80
Thus, the equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.
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PLEASE HELP MY BIRTHDAY WILL BE CANCELLED IF I DONT GET A GOOD GRADE ON THIS
Answer:
Option 4
Step-by-step explanation:
If the circle is filled in them it will be either ≤, ≥, ≈ .
One circle is open one is closed
Solve each literal equation for the given variable y=x+12;x
Answer:
Step-by-step explanation:
x + 12 = y
x = y - 12
A cookie factory uses 4 1/4 bags of flour in each batch of cookies. The factory uses 8 1/2 bags of flour yesterday. How many batches of cookies did the factory make
Answer:
2
Step-by-step explanation:
4 1/4 bags of flour multiplied by 2 is 8 2/4 and that's equivalent to 8 1/2
Answer:
The answer is 2 Batches
Step-by-step explanation:
The answer is 2 because 4 1/4 multiplied by 2 is 8 2/4 or in a simplified version 8 1/2.
Mathematics Diagnostic Assessment
14
Miller inventoried the batteries in his house. The two-way table below shows the data he collected.
AA
Total
29
18
AAA
11
14
Disposable
Rechargeable
Total
7
21
25
25
Ihs 50
Which correlation does the two-way table suggest?
A. The rechargeable batteries tend to be AAA.
B. None of the correlations listed are correct.
C. The rechargeable batteries tend to be AA.
D. The disposable batteries tend to be AAA.
tum. All rights reserved,
e here to search
o
Answer:
The rechargeable batteries tend to be AAA.
Step-by-step explanation:
Have a good day :)
Write the following standard forms into exponential form 3 x 3 x 3 x 3 and 7 x 7.
Answer: 3^4, 7^2
Step-by-step explanation:
3 times itself 4 times! Seven times itself 2 times
whats the answer to this problem 9x+10=2001-X
Answer: x=1991/10
Step-by-step explanation: Step 1: Simplify both sides of the equation.
9x+10=2001−x
9x+10=2001+−x
9x+10=−x+2001
Step 2: Add x to both sides.
9x+10+x=−x+2001+x
10x+10=2001
Step 3: Subtract 10 from both sides.
10x+10−10=2001−10
10x=1991
Step 4: Divide both sides by 10.
10x
10
=
1991
10
x=
1991
10
Answer:x=199.1
Step-by-step explanation:
if you saved 25 thousand dollars an hour, 40 hours per week for 2020 years, how much money do u have saved up ?!
Answer:
i dunno
Step-by-step explanation:
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base? A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?
Answer:
for first parallelogram
Area of parallelogram = b*h= 3.5*2= 7square unit
for second parallelogram
Area of parallelogram = b*h = 1.8 square unit
or, 3*h = 1.8
h= o.6unit
For third parallelogram
Area of parallelogram = b*h = 20.4square unit
4*b= 20.4
b=5.1 unit
Step-by-step explanation:
f(x) = 3x ^ 2 + 2x + 10
Answer:
No x-intercept (zero)
f(0)=10
Step-by-step explanation:
What is the third multiple of 167?
I will give brainliest and thank you to whoever helps/answers this
Answer:
0 0 6
0 6 0
6 0 0
Step-by-step explanation:
Simple place value
What will be the coordinates of the upper-right vertex of
the next largest (fourth) square in the pattern?
(5,5)
(7,7)
(8,8)
(16, 16)
Answer:8,8
Step-by-step explanation:
Took the test on edge
Answer:
C. (8, 8)
Step-by-step explanation:
Edge 2022. ^
can u help me with the problem below
(-4)- 6
Since you are subtracting a negative you would add them together equaling -10
Evaluate the function f(x)=6x+2 at the given values of the independent variable and simplify.
a. f(8) b. f(x+6) c. f(−x)
. f(8)= (Simplify your answer.)
[tex]f(x) = 6x+2[/tex]
A.
To evaluate f(8), we substitute x with 8 in our expression.
[tex]f(8) = 6*8 + 2\\f(8) = 48 +2\\f(8) = 50[/tex]
Answer: f(8) = 50
B.
To evaluate f(x+6), we do the same but substitute x with x+6 instead.
[tex]f(x+6) = 6(x+6) + 2[/tex]
Expand the parenthesis by multiplying 6 with x and 6.
[tex]f(x+6) = 6x + 6*6 + 2\\f(x+6) = 6x+36+2\\f(x+6) = 6x+38[/tex]
Answer: f(x+6) = 6x + 38
C.
Again, we're doing the same thing, just substituting x with -x.
[tex]f(-x) = 6 * (-x) + 2\\ f(-x)=-6x+2[/tex]
Answer: f(-x) = -6x+2
Answer:
_____________________________________________
[tex] \longmapsto \: f(x) = 6x + 2[/tex]
_____________________________________________
A. [tex]f(8) = 6(8) + 2 = 48 + 2 = \boxed{ 50}✓[/tex]
_____________________________________________
B. [tex]f(x + 6) = 6(x + 6) + 2 \\ = 6x + 36 + 2 \\ = \boxed{ 6x + 38}✓[/tex]
_____________________________________________
C. [tex]f( - x) = 6( - x) + 2 = \boxed{ - 6x + 2}✓[/tex]
_____________________________________________
Twenty people are members of a local bowling club. Eight of them are men. What percentage of the
bowling team are women?
Answer:
60% of them are women 40% are men
6(1 + 5n) − 6n = 174
Answer:
N=7
Step-by-step explanation:
1. Distribute the 6 into the parentheses
6+30n-6n=174
2.combine like terms
6+24n=174
3. Subtract 6 on both sides
24n=168
4.now divide
24/24 cancels out 24/168 is what 7 soooo
n=7
in grouped data each of the group is called?
Answer:
The class interval.
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
Of Q is the midpoint od RP, Find the coordinates of R if P(9,-2) and Q (4,5)
Answer:
(-1,12)
Step-by-step explanation:
let R be(x,y)
Q(4,5)=midpoint
R(x,y)=(x1,y1)
p(9,-2)=(x2,y2)
now,
(4,5)= x1+x2/2 , y1+y2/2
(4,5)= x+9/2 , y-2/2
so,
x+9/2=4 y-2/2=5
x+9=8 y-2=10
x= -1 y=12
therefore, R(x,y)= (-1,12)
The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)
Answer:
A) (3,7)
Step-by-step explanation:
If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)
Answer:
A) (3,7)
Step-by-step explanation:
if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.
Davis saved $1000 and then found a savings account that will give him 10% interest per year.
Represent the money in his account after n years.
1) Arithmetic or Geometric:
2) Common difference/ratio:
3) Recursive Formula:
4) Explicit Formula:
Answer:
1000x0.1=n
Step-by-step explanation:
first year he had 1000
second year they times the 1000 by .1 because thats ten percent
Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
help please? i have no idea what i’m doing
Pls help!!!!!!! Determine the lowest common denominator for each sum or difference.
X
7/6 + (-5/12)
Common Denominator: 10
Common Denominator: 12
Common Denominator: 24
X
13/24 + 7/12
3/2 - 4/5
x
1/8-5/3
x
-3/4+ (-2/3)
x
5- 7/10
Answer:
Common Denominator 10: 5-7/10 and 3/2-4/5
Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)
Common Denominator 24: 1/8-5/3 and 13/24+7/12
Hopefully This Helps You :)
Answer:
Common Denominator 10: 5-7/10 and 3/2-4/5
Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)
Common Denominator 24: 1/8-5/3 and 13/24+7/12
Step-by-step explanation:
If a and bare negative, then a + b is also negative.
Step-by-step explanation:
Example: -2+-5
It can also be written as -2-5.
How I do these problems, I do 2+5, which is 7. Then I add a negative sign. So -2+-5 or -2-5 is equal to -7.
-a+-b can also be written as -a-b. So yes, if a and bare negative, then a + b is also negative.
hope it helps!
What is the value of x?
5 + 2/3x = -x + 20
Please explain:
The value of X is 9.
Solve for x by simplifying both sides of the equation, then isolating the variable.
What is the value of the expression below when y
7 and z = 5?
y + 10z
Answer:
57
steps:
10 x 5= 50
7 + 50 =57