Answer:
Step-by-step explanation:
The goal in scientific notation is to express a value in terms of a number that contains a single unit before the decimal point.
Examples:
10000: 1.0 x 10^4
23456: 2.3456x10^4
In both cases, the x10^4 is telling us to multiply the first number by 10,000. 10^4 is the same as 10x10x10x10 = 10,000
The justification for scientific notation is that is makes expression large and small numbers much easier, as well as reduces errors due to an incorrectly placed decimal.
An example: Divide 2500000000 by 5000. That would normally require setting up a long-hand division problem that not only wastes paper and pencil, but is also prone to decimal point errors.
Do the same problem with scientific notation:
Count the places you want to move the decimal point backwards to just beyond the 5 in 2500000000. It takes nine steps to move the decimal point to between the 2 and 5: 2.5 followed by 8 zeros. That's a total of next steps to go in front of the 5. This is written 2.5 x 10^9
5000 is represented by 5.0x10^4
Now when we divide the same numbers, but in scientific format, it is easier to see the answer:
(2.5x10^9)/(5.0x10^4)
2.5/5 = 0.5
10^9/10^4 = 10^5 [The exponents are subtracted when dividing with exponents: 9-4 = 5]
Put them together to find the final answer: 0.5x10^5
Then move the decimal point one spot to the right and reduce the exponent by 1:
5.0x10^4
------
Add exponents when multiplying: 10^3 x 10^5 = 10^8 (3+5=8)
Subtract when dividing: 10^7/10^2 = 10^5 (7-2=5)
Multiply when there is an exponent raised to another exponent: (10^4)^3 = 10^12 (4x3 = 12)
One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.
The probability of getting a head on the coin and an odd number on the die is 25%
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
One coin is flipped, and then one die is rolled.
Let H is the head and T is tails.
The sample space is {H, T}
The probability of getting a head on the coin
= The possible outcomes / the total outcomes
= 1/2
One die is rolled.
So, the sample space is {1, 2, 3, 4, 5, 6}
The sample space for odd number is {1, 3, 5}.
The probability of getting an even number on the die
= 3/6
= 1/2
If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:
P(A and B) = P(A) P(B)
= 1/2 x 1/2
= 1/4
= 0.25
And 0.25 in percentage is 25%.
Therefore, the probability is 1/4.
To learn more about the probability;
brainly.com/question/11234923
#SPJ5
simplify
answer it
b)
Answer:
a) 8x + 5x = 13x
b) 9f + 10f - 12f = 7f
Step-by-step explanation:
For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)
So 9 + 10 = 19, and 19 - 12 = 7.
Hope this helps you :)
Step-by-step explanation:
(a) 8x + 5x = 13x....simplified
(b) 9f + 10f - 12f = 7f.....simplified
Hope it helps you!determine if the two triangles are congruent.If they are state how you know
Answer:
1. yes, both triangles sides are congruent
2. yes, they have congruent sides and they have a congruent angle
3. yes, congruent sides and angle
4. yes, 2 congruent angles
5. no, only one congruent angle not enough proof
6. yes, 2 congruent angles
7. no, only one congruent angle not enough proof
8. no, only one congruent side
What additional information can be used to prove AZDX = AXYZ by SSS?
XZ=ZD
DX=YZ
DZ=YX
XZ=XY
Answer:
B. DX = YZ
Step-by-step explanation:
How much fence is needed to surround a garden with side lengths of 2.1 meters, 3.5 meters, 1.9 meters, and 2.25 meters?
Answer: 9.75m
Step-by-step explanation:
3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m
Find the sum of all solutions to the equation $3x(x+4) = 135$.
Answer:
-4
Step-by-step explanation:
3x(x + 4) = 135
3x² + 12x = 135
3x² + 12x - 135 = 0
On dividing by 3
x² + 4x - 45 = 0
x² + (9x - 5x) - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x + 9)(x - 5) = 0
x = 5 & -9
Sum = -9 + 5
Sum = -4
The sum of the solutions of the given quadratic equation will be -4.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given equation,
⇒ 3x(x + 4) = 135
Multiply the 3x as,
3x² + 12x = 135
3x² + 12x - 135 = 0
Divide the above equation by 3 as
3x²/3 + 12x/3 - 135/3 = 0
x² + 4x - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x - 5)(x + 9) = 0
x = 5 and x = -9
Therefore the sum will be -9 + 5 = -4
Hence "The total of the quadratic equation's answers will be -4".
For more about the quadratic equation,
https://brainly.com/question/17177510
#SPJ2
QUICKEST ANSWER GETS BRAINLEIST.
Evaluate the following expression 6⋅2+6^4 khan academy
Answer:
6.2+6^4
6.2+1.296
7.496
If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.
Answer:
4x²+ 4x +4
Step-by-step explanation:
g(f(x)) = (2x + 1)² + 3
= 4x² + 4x + 1 + 3
= 4x²+ 4x +4
Answer:
(4x^2) + (4x) + 4
Step-by-step explanation:
Let a = f(x) = 2x+1
g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4
According to building codes, a wheelchair ramp should have a slope of 1/10 or less.
a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.
Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.
The slope of a ramp is given by it's height divided by it's length, that is:
[tex]m = \frac{h}{l}[/tex]
In this problem:
The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].Then, the slope is given by:
[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]
The slope is of 0.09375 < 0.1, hence, it meets the requirements.
A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623
Skyler is helping his mother plan a wedding breakfast for his older sister, Jessica. They
are expecting 63 family members to attend, and they are using round tables that seal 8
guests each. How many tables will be needed to seat 63 people?
What do I do with the remainder?
Answer:
You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.
Based on the graph below, f(x) and g(x) where g(x) =f(x)+h are shown
Answer:
The value of h is 5
Step-by-step explanation:
Remember the if two lines are parallel and one is taller than the other and is asking for what that is the difference it is the y-intercept or what you call in this problem "h" since h is 5 digits above the answer is 5
A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?
Answer:
140 feet
Step-by-step explanation:
You will need to find the perimeter of the backyard to find how many feet of fencing will be needed
the formula for perimeter is: 2l+2w
So 2 times 30 is 60
with 2 times 40 80
60+80 is 140
Thus you will need 140 feet to cover the backyard
Hope this helps!
Answer:
140 ft
Step-by-step explanation:
Perimeter = 2(l+w)
Perimeter = 2(30+40)
Perimeter = 2(70)
Perimeter = 140
What is the solution to the system of equations below?
x + y = 7 and x + 2 y = 11
Answer:
x=3, y=4. (3, 4).
Step-by-step explanation:
x+y=7
x+2y=11
--------------
-x-y=-7
x+2y=11
--------------
y=4
x+4=7
x=7-4
x=3
What is the product of 10 and 9 divided bye 24 in simplest radical form?
Answer:
15/4
Step-by-step explanation:
You do 10*9 which is 90. Then divide it by 24 to get 90/24 and simplify it by dividing the numerator and denominator by 6
Which congruence criteria is met in the following scenario?
SAS
SSS
None, because SSA is not a triangle congruence criteria.
ASA
AAS
None, because SSA is not a triangle congruence theorem.
A cone has a volume of 94.2 cubic feet and a height of 10 feet. What is its radius?
Answer:
3 ft
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
Solving for r, we find ...
r = √(3V/(πh))
r = √((3×94.2)/(π×10)) ≈ √9 = 3 . . . . ft
The radius of the cone is 3 ft.
the functions below show the amount of money bella and sweet t had saved after earning money for doing chores
Answer:
Hello your answer should be: Bella saved more per chore than Sweet T.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
Evaluate:
[tex] {8}^{ - \frac{2}{3} } [/tex]
with steps please
[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]
[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which number line correctly shows 4.5 – 2.5?
a) A number line going from 0 to 4.5 in increments of 0.5. An arrow goes from 0 to 4.5 and then backwards from 4.5 to 2.
b) A number line going from negative 4.5 to 0 in increments of 0.5. An arrow goes from negative 4.5 to negative 2 and then backwards from 0 to negative 4.5.
c) A number line going from negative 2.5 to positive 4.5 in increments of 0.5. An arrow goes from negative 2.5 to 0 and also from 0 to 4.5.
d) A number line going from negative 4.5 to positive 2.5 in increments of 0.5. An arrow goes from 2.5 to 0 and from 0 to negative 4.5.
Answer:
its A i think
Step-by-step explanation:
Hope this helps!
hello please look in the comments
Answer: Alright, I did UnU
the height and diameter of a cylinder are 21 cm and 12 cm. find the volume of cylinder
Answer:
the answer is 6930 cm3.
Step-by-step explanation:
please mark my answer in brainlist
Byron wants to sell the shells and makr a profit of 125%. What is 125% written as a fraction in lowest terms
Answer:
5/4
Step-by-step explanation:
125/100
(divide through by 25)
5/4
Brainliest
Please do one of the above
(I would appreciate if you did more then one)
Answer:
5. 7.5m
6. 3, 925m
7. 383.9m
8 42.99m
Answer:
Step-by-step explanation:
will mark brainleist pls help
Step-by-step explanation:
Angle c + angle d = 180° ( linear pair)
given,
angle c = 5x + 9
angle d = 5x - 6
now,
5x + 9 + 5x - 6 = 180
10x + 3 = 180
10x = 180 - 3 = 177
10x = 177
x = 177/10 = 17.7
so,
angle C = 5x + 9 = 5(17.7) + 9 = 97.50°
angle D = 5x - 6 = 5(17.7) - 6 = 82.50°
Hope this answer helps you dear! take care!.
The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.
true
false
Step-by-step explanation:
Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true
mathematic, please answer
solve k:
8k-12=3
Step-by-step explanation:
8k - 12 = 3
8k = 3 +12
8k = 15
k = 15/8
k = 1.875
Answer:
8k-12=3
8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]
8k=15
k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]
k=1.875
Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the
turkey was $25.65. What was the cost of turkey per pound?
Answer:
$1.35 per pound
Step-by-step explanation:
25.65/19=1.35
Evaluate the expression 4(2x + 6) when x = 4.5 *
122
60
42
12
Answer:
The solution to the expression with x = 4.5 is 60.Step-by-step explanation:
Given:
x = 4.5Work:
4(2x + 6)=> 8x + 24=> 8(4.5) + 24=> 36 + 24=> 60Hence, the solution to the expression with x = 4.5 is 60.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
у
(x, y) (?x, ?y)
A'
3-4-3-2-10
1
2
B
C
B
с
Answer:c
Step-by-step explanation:
anser :c