(i)Given number = 8000
=8 × 1000
= 8×10³
The standard form of 8000 is 8×10³
(ii)Given number = 0.00000000094
⇛ 94/100000000000
⇛ 94/10¹¹
On multiplying and dividing with 10 then
⇛ (94/10¹¹)×(10/10)
⇛ (94/10)×(10/10¹¹)
⇛ 9.4 × (1/10¹⁰)
⇛ 9.4/10¹⁰
⇛ 9.4×10^-10
The standard form of 0.00000000094 = 9.4×10^-10
(iii) Given number = 467.5
⇛ 4675/10
On multiplying and dividing with 1000 then
⇛ (4675/10)×(1000/1000)
⇛ (4675/1000)×(1000/10)
⇛ 4.675 × 100
⇛ 4.675×10²
The standard form of 467.5 = 4.675×10²
(iv) Given number = 50200000000000
⇛ 502×100000000000
On multiplying and dividing with 100 then
⇛ (502/100)×100000000000×100
⇛ 5.02 ×10000000000000
⇛5.02 × 10¹³
The standard form of 50200000000000 is
5.02 × 10¹³
(v)Given number = 0.00000005837
⇛ 5837/100000000000
On multiplying and dividing with 1000 then
⇛ (5837/1000)×(1000/100000000000)
⇛ 5.837/100000000
⇛ 5.837/10⁸
⇛ 5.837×10^-8
The standard form of 0.00000005837 is 5.837×10^-8
(vi) Given number = 71860000000
⇛7186×10000000
On multiplying and dividing with 1000 then
⇛ (7186/1000)×10000000×1000
⇛ 7.186×10000000000
⇛ 7.186×10¹⁰
The standard form of 71860000000 is 7.186×10¹⁰
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.
Answer:
The answer is 11.6 cm
Step-by-step explanation:
The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)
Now we must input 16 cm into c and 11 cm into either a or b.
a^2+11^2=16^2 which is equal to a^2+121=256.
subtract 121 from both sides to get a^2 by itself
a^2+(121-121)=(256-121)
a^2=135
to get "a" by itself, we must find the square root of 135.
√a^2=√135
a=11.6
The cost was 1,784. they also had to pay 7.25% sales tax. what was the total amount paid
Answer:
1913.34
Step-by-step explanation:
We multiply 1,784 by 0.00725. OR if you have a calculator that multiplies percentages you can write it out as 1784 * 7.25%.
Hi. I'm kind of confused on this question. Pls help
Answer:
B is the awnser.
Step-by-step explanation:
cuz it is incorrect.
How many 1/5 are in 3 1/2?
Answer:
17 1/2
Step-by-step explanation:
3 1/2 / 1/5=17 1/2
Complete the table of values for x-y=6
On the grid, draw x+y=6
Answer:
couldnt draw sorry but heres the answers for a
Step-by-step explanation:
for x = -2
x+y= 6
-2+8=6
so y=8
for x=-1 do the same and y= 7
for x =0 y=6
for x=1 y=5
for x=2 y=4
for x=3 y=3
Is Helena correct? If so, explain how she can tell that the diagram represents if she is not correct,
explain why not
Answer:
yes it she is
Step-by-step explanation:
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.
Answer:
x=10, y=-1
Step-by-step explanation:
x-y=11
2x+y=19
3x=30
x=10
10-y=11
-y=1
y=-1
USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y
The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings
Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.
This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.The rule of three is:
3 pitchers - 11 innings
1 pitcher - x innings
Applying cross multiplication:
[tex]3x = 11[/tex]
[tex]x = \frac{11}{3}[/tex]
11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:
Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.You can learn more about proportions at https://brainly.com/question/24372153
graph -1,-1 on this graph
Answer:
so that's how you plot their intersection
What is the slope for these cordinates
(-8,11) , (17,4)
Answer:
[tex]\displaystyle m = \frac{-7}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
Point (-8, 11)
Point (17, 4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-7}{25}[/tex][tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).
The standard formula to calculate slope is given by,
[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]The slope is -7/25.Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.
Answer:
Step-by-step explanation:
y = 50x - 165
PLEASE HELP ME
A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.
Answer:
4.2 in
Step-by-step explanation:
90÷3.6 = 25
The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)
105÷25 = 4.2
Please give brainliest if that helped at all!
Need help with the answer it’s confusing
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
Help me pleaseeeeeeeeeeeeeee
The formula to find the volume of a cube is:
volume= a^3
OR
volume= a*a*a
(a stands for the side length)
The way you would write it is:
V=2.8^3
Then you solve.
You would get 21.952
But since you need to round to the tenth place it would be:
22
Hope this helps! :)
Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?
A. 648
B. 216
C. 81/8
D. 27/8
[tex]2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}[/tex]
5x - 8y = 20
what are x and y? :)
Answer:
x could be 10
y could be 5
those are some possible answers.
Answer:
x=4 and y=0
(4,0)
hope I help or maybe correct
If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
Answer: Hence, value of (1/2)√(16200) is 63.63
also read similar questions: if √2=1.414 and√3=1.732,find the value of 1/√2+√3..
https://brainly.com/question/12837303?referrer
If √2 = 1.414 then the value of 5+√2 / 5-√2 is..
https://brainly.com/question/25047005?referrer
The value of 1/2√16200 given the value of √2 = 1.414 is 63.63
How to use prime factorization to solve square rootPrime factorization of √16200
= 3 × 3 × 5 × √2
= 90√2
Given:
√2 = 1.4141/2√16200
= 1/2 × 90√2
= 90√2 / 2
= 45√2
= 45 × √2
= 45 × 1.414
= 63.63
Therefore, the value of 1/2√16200 is 63.63
Learn more about prime factorization:
https://brainly.com/question/9523814
What is the area of the square?
32 square units
64 square units
24 square units
16 square units
Answer:
64 square units
Step-by-step explanation:
All you have to do is multiply 8 by 8 to get 64.
Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.
Answer: $8 21 quarters
Step-by-step explanation:
20 quarters is $5 plus another is $5.25
8 dollars is $8 plus the $5.25 = $13.25
Have a nice day, and if you could be so kind as to give me a brainliest
What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.
The approximate value of q in the equation is [tex]0.774[/tex]
The equation is given as:
[tex]q\log_2(6) = 2[/tex]
Divide both sides of the equation by [tex]\log_2(6)[/tex].
So, we have:
[tex]q= \frac{2}{\log_2(6) }[/tex]
Determine log(6) base 2
[tex]q= \frac{2}{2.585}[/tex]
Divide 2 by 2.585
[tex]q= 0.774[/tex]
Hence, the approximate value of q in the equation is [tex]0.774[/tex]
Read more about logarithmic equations at:
https://brainly.com/question/11897620
Write an equation in slope-intercept form of the line that passes through the given points
Х
у
- 2
4
0
1
2
- 2
4
-5
[tex]y= -\frac{3x}{2} +1[/tex]
Which sentence elaborates Akhenaton’s changes to Egyptian religion?
Answer:
sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.
Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.
Step-by-step explanation:
Anyone know this? please help and Thank you very much!!!
[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]
Plz can someone help me with this problem thank you
Step-by-step explanation:
sorry ..i dont know the answer for this question
Somebody please help
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.
ALGEBRA
GIVE THE EXPRSSION FOLLOWING CASE
1. Y IS MULTIPLIED BY -8 AND THEN 5 IS ADDED TO THE RESULT
Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?
An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.
Question options:
2 units
6 units
12 units
4 units
Answer:
DE = 12
Step-by-step explanation:
Consider Δ ABC
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
D and E are the midpoints of 2 sides of the triangle, then
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12
what are all the roots of the function f(x)= x^3+3x^2-x-3
Answer:
\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}
Step-by-step explanation:
PLEASE HELP I BEG IMMA FAILLLLLLLLL
A rectangular garden is 40 ft wide and 55 ft long. On a blueprint, the width is 8 in. Identify the length on the blueprint.
Answer:
11
Step-by-step explanation:
First, you set up the proportion for the garden, 40/55 (width/length). Then, right beside it, you set up the proportion for the blueprint garden, 8/x (x because this is the answer we are trying to find). You can then do a scale factor to find the answer and the scale factor is 5 ( because 40 divided by 5 is 8) so you can divide 55 by 5 to get 11!! I hope this helps bro!! :D
Could someone help please
Step-by-step explanation:
1. x/3-2=6
x-6=18
x=18+6
x=24
2. x/5+1=5
x+5=25
x=25-5
x=20
Answer:
x = 24 , x = 20
Step-by-step explanation:
(a)
[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )
[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )
x = 24
(b)
[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )
[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )
x = 20