Answer:
The percentage increase is 70%
Step-by-step explanation:
There is a calculator that solves the problem for you just enter the 2 values that they ask for
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
Answer:
1) -9.3465 × 10^8
2) 1.6214 × 10^-1
3) 1.33 × 10^-11
Explanation:
When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.
First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.
For example, to solve the first expression (problem one):
7.35 x 10^6 – 9.42 x 10^8
Divide 10^8 by 10^6 to get 10^2
So
it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.
7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.
Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.
Anyway for the second expression (problem 2)
Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.
So 3.14 × 10^-3 + 1.59 × 10^-1
The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2
So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.
Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
X+y=4
{
X-y=2
Answer:
The solution to the system of the equations will be:
[tex]x=3,\:y=1[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]x+y=4[/tex]
[tex]x-y=2[/tex]
solving the system of the equations
[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=4}[/tex]
[tex]-2y=-2[/tex]
solving
[tex]-2y=-2[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]
[tex]y=1[/tex]
[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]
[tex]x+1=4[/tex]
[tex]x=3[/tex]
Therefore, the solution to the system of the equations will be:
[tex]x=3,\:y=1[/tex]
I will give brainliest answer to these questions
Answer:
THATS MADDDD CAPPPP U NEED 25 POINTS OF THE QUESTION FOR BRAINLIEST
Solve the system of equations
-6y+11x=-36
-4y+7x=-24
x=
y=
Answer:
Y=6
X=0
Step-by-step explanation:
Hope this helps
Write the equation of the line fully simplified slope-intercept form
Answer:
y=-3x+6
Step-by-step explanation:
that might not be fully simplified, but that should be the equation
Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of this design, in inches? A. B. C. D.
Answer: A. 12 + 12√12
Step-by-step explanation:
The perimeter of a triangle is acquired by adding up all the sides of the triangle.
In this case therefore the perimeter is;
= 2√2 + 2√2 + 4
= 4√4 + 4
There are 3 triangles so the total perimeter is;
= 3 * (4√4 + 4)
= 12√12 + 12
= 12 + 12√12
Compare data set A and data set B.
Set A: mean = 79.6, standard deviation = 9.8
Set B: mean = 79.6, standard deviation = 2.3
Answer:
Set A: mean = 79.6, standard deviation = 9.8
Step-by-step explanation:
Set A has a larger spread of data.
If Set A: mean = 79.6, standard deviation = 9.8 and Set B: mean = 79.6, standard deviation = 2.3 then set A has larger spread of data compared to set A.
What is Statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given,
Set A:
mean = 79.6,
standard deviation = 9.8
Set B:
mean = 79.6,
standard deviation = 2.3
As we compare both set A and set B the mean of set A and set B are same whereas set A has more standard deviation than set B.
As Standard deviation is an important measure of spread or dispersion.
if the standard deviation is small, then this tells us that the results are close to the mean, whereas if the standard deviation is large, then the results are more spread out.
Set A has a larger spread of data.
Hence Set A has larger spread of data compared to set A.
To learn more on Statistics click:
https://brainly.com/question/29342780
#SPJ2
PLEASE HELP!!!!!
Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x
Answer: 9.1-10=0.2x
Step-by-step explanation:
9.1 = −0.2x + 10
−0.2x + 10 = 9.1
−0.2x + 10 − 10 = 9.1 −10
−0.2x = −0.9
−0.2x / −0.2 = −0.9 / −0.2
x=4.5
10 = 9.1 + 0.2x
10 = 0.2x + 9.1
0.2x + 9.1 = 10
0.2x + 9.1 − 9.1 = 10 − 9.1
0.2x = 0.9
0.2x / 0.2 = 0.9 / 0.2
x=4.5
10 − 0.2x = 9.1
10 + (−0.2x) = 9.1
−0.2x + 10 = 9.1
−0.2x + 10 − 10 = 9.1 − 10
−0.2x = −0.9
−0.2x / −0.2 = −0.9 / −0.2
x=4.5
9.1 - 10 = 0.2x
-0.9 = 0.2x
-0.9 / 0.2 = 0.2x / 0.2
x= -4.5
Answer:
the answer is d/9.1 – 10 = 0.2x
Step-by-step explanation:
ASAP answer it please.!!!!!!!!!!!!!!!!!!! thank uuu
Answer:
X=120 and y=10,z=120
Step-by-step explanation:
corresponding angles
thus 120=(13y-10)=x
A pair of supplementary angles have angle measures of angle a (5n + 4) and angle b (50 - n)
Answer:
yeah for sure
Step-by-step explanation:
there are 175 total balloons the ratio of gold to silver balloons is 3:2 how many balloons are gold out of the 175 balloons
Solve by substitution x-7y=7 6x-7y=-28
Answer:
(-7, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x - 7y = 7
6x - 7y = -28
Step 2: Rewrite systems
x = 7y + 7
6x - 7y = -28
Step 3: Solve for y
Substitute: 6(7y + 7) - 7y = -28Distribute 6: 42y + 42 - 7y = -28Combine like terms: 35y + 42 = -28Isolate y term: 35y = -70Isolate y: y = -2Step 4: Solve for x
Define original equation: x - 7y = 7Substitute in y: x - 7(-2) = 7Multiply: x + 14 = 7Isolate x: x = -7And we have our answer!
Ed wants to buy a basketball for $5, but
his bank account only contains $3. If Ed
purchasos tho baskotball, how much
money will his bank account show?
ANSWER PLSSS THANK YOUUUUU
Answer:
As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%
Step-by-step explanation:
Count the blocks and convert (you can also use an array.) Hope this helps you!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
The box is a 10x10 so it has 100 squares inside.
There are 81 squares shaded so the fraction would be 81/100
To get the decimal just divide 81 by one hundred so the decimal is .81
As a percent is would be 81%
Hope this helps ya!!
If z is a positive integer, does 4+3(2z-5) represent a number that is greater than, less than, or equal to 2(3z-4)?
Answer:
Step-by-step explanation:
4 + 6z - 15 = 6z - 11
2(3z -4) = 6z - 8
Here's the tricky part. You are only taking 8 away from 6z
The result is going to be larger than when you take away 11 from 6x
Try it
suppose z = 7
6*7 - 8 = 42 - 8 = 34
6*7 - 11 = 42 - 11 = 31
34>31
Guys, I need help ASAP!!
The standard deviation of the following data set is 0.31. 95% of the data would fall in which range?
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4
Pr (3.88 ≤ X ≤ 5.12)
Pr (2.67 ≤ X ≤ 5.33)
Pr (4.19 ≤ X ≤ 4.81)
Pr (3.57 ≤ X ≤ 5.43)
Answer:
Step-by-step explanation:
Answer is "B"
(BRAINLYEST TO RIGHT ANSWER) pls i need help!
Answer:
What is the question?
Step-by-step explanation:
Answer:
where is the question
Step-by-step explanation:
Which of the following is not a rate?
doing 45 crunches in 1 minute
paying $3.15 for 1 gallon of gas
folding 6 loads of laundry in 3 days
walking 4 miles in 1 hour
Answer:
folding 6 loads of laundry in 3 days i think
Step-by-step explanation:
im pretty sure a rate is something paid/done/etc per one unit if that makes any sense lol
Answer: the answer is folding 6 loads of laundry in 3 days
A single bus fare costs $2.35. A monthly pass costs $45.75. Celine estimates that she will ride the bus 25 times this month. Kamal estimates that he will ride the bus 18 times. should they both buy monthly passes? Explain.
Answer:
No they shouldn't.
Step-by-step explanation:
Monthly pass: Celine: $1,143 Kamal: $823
Single Pass: Celine: $58 Kamal: $42
What is a first step to solving for x in the equation −=9 x minus 7 equals 10? How would you check your solution
Answer:
-17/9
Step-by-step explanation:
You need to add 7 to both sides.
-9x - 7 = 10
-9x -7 + (7) = 10 + 7
-9x = 17
Then both sides for (-9)
-9x/(-9) = 17/(-9)
x = -17/9
URGENT SOMEONE HELP PLEASE!!
(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.
Answer:
I can't see the picture, sorry. :(
Step-by-step explanation:
Answer:
y=3/4x-5.5
Step-by-step explanation:
y=mx+b
B=starting point 5.5
x= variable
M=slope 3/4
ILL GIVE YOU BRAINLEST!!
Answer:
24 pennies
Step-by-step explanation:
120 x 0.2 go get 24 and other will get 48
13 pretty please
:)tyyyyyyy
Answer:
B.
Step-by-step explanation:
Please solve this simultaneous equation, i'm not that good at it.
2r-s=10
rs-s^2=12
Answer:
s = 6, r = 8 or s = 4, r = 7
Step-by-step explanation:
2r - s = 10
2r = 10 + s
r = 5 + s/2 --(1)
rs - s^2 = 12 --(2)
sub (1) into (2):
(5 + s/2)s - s^2 = 12
5s + 0.5s^2 - s^2 = 12
-0.5s^2 + 5s - 12 = 0
s^2 - 10s + 24 = 0
(s - 6)(s - 4) = 0
therefore s = 6 or s = 4
when s = 6, r = 8 and when s = 4, r = 7
if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)
Help me
Line ℓ is perpendicular to line m. Find the value of x and w.
1. What value is equivalent to 3 x 12 - (4 + 2)?
Answer:
30
Step-by-step explanation:
(3x12)-(4+2)
36-6
30
pls help!! would be greatly appreciated<3
Answer:
x=7
Step-by-step explanation:
Harry and Selma start driving from the same location. Harry drives 42 miles north and Selma drives 144 mies east. How far apart are Harry and Selma when they stop?
Answer:
150 miles
Step-by-step explanation:
use the pythagoerean theorem
42^2 + 144^2 = c^2
1764+20736=c^2
22500 = c^2
c= 150 miles
help me pleaseeeeeeeee help nowww
Answer:
IT'S A. HEHEHEHEHEHEHE