Answer:
30
Step-by-step explanation:
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.
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
pls help!! would be greatly appreciated<3
Answer:
x=7
Step-by-step explanation:
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
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]
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:
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Write numerical answer only (no sentences, no units) i need help ASAPPP!! I'll give brainliest
work it out
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
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!
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"
answer all of these please!
Answer:
1. Given
2. Given
3. Vertical Angles prop
4. SSS
Step-by-step explanation:
Hope this helps ya!
You are lucky I wish our teacher gave us proofs like this!
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
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
A circle has a diameter of 50 cm. Which of these is closest to it's circumference.
A) 157 cm
B) 314 cm
C) 7,850 cm
D) 1,963 cm
Answer:
i know the circumference is 1.57 so it is A)
Step-by-step explanation:
(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
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:
Each day Jimmy feeds his horse 2.34 pounds of oats. He also feeds it hay. The weight of the hay is 3.5 time the weight of the oats. What is the combined weight of oats and hay that Jimmy feeds his horse in ONE week?
Answer:
i believe 40.88
Step-by-step explanation:
2.34 + 3.5 x 7 = 40.88
ILL GIVE YOU BRAINLEST!!
Answer:
24 pennies
Step-by-step explanation:
120 x 0.2 go get 24 and other will get 48
In order to add or subtract matrices, what requirement must the matrices have?
Answer:
The must have the same dimension
Step-by-step explanation:
Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.
When we add 2 matrices the matrices should be of the same size and same dimension
A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".
In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B
A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex] B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]
A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]
To learn more about Matrices
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A tank is filling up with water at a rate of 3 gallons per minute. The tank already had 5 gallons in it before it started being filled. What is the starting amount of the water tank?
Answer:
5 gallons
Step-by-step explanation:
there were 5 gallons already in the tank before it started to get filled.
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!)
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
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:
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I will give brainliest answer to these questions
Answer:
THATS MADDDD CAPPPP U NEED 25 POINTS OF THE QUESTION FOR BRAINLIEST
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
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
help me pleaseeeeeeeee help nowww
Answer:
IT'S A. HEHEHEHEHEHEHE
URGENT SOMEONE HELP PLEASE!!
1. What value is equivalent to 3 x 12 - (4 + 2)?
Answer:
30
Step-by-step explanation:
(3x12)-(4+2)
36-6
30
Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.
Answer:
s ∈ ( − ∞ , 1 )
Step-by-step explanation:
-2(s-7)>4s+8
-2s+14>4s+8
14>6s+8
6>6s
1>s
Answer:
(-inf, 1)
Step-by-step explanation: