Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]\left(5.91\times \:10^{-3}\right)-\left(8.7\times \:10^{10}\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=5.91\times \:10^{-3}-8.7\times \:10^{10}[/tex]
as
[tex]5.91\times \:10^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=5.91\times \frac{1}{10^3}[/tex]
[tex]=\frac{5.91}{1000}[/tex]
[tex]=0.00591[/tex]
similarly
[tex]8.7\times \:10^{10}[/tex]
Convert element to a decimal form
[tex]10^{10}=10000000000[/tex]
so
[tex]=10000000000\times \:8.7[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8.7\times \:10000000000=87000000000[/tex]
[tex]=87000000000[/tex]
Thus, the expression becomes
[tex]\left(5.91\times \:\:10^{-3}\right)-\left(8.7\times \:\:10^{10}\right)=5.91\times \:\:10^{-3}-8.7\times \:\:10^{10}[/tex]
[tex]=0.00591-87000000000[/tex]
[tex]=-86999999999.9941[/tex]
Hence,
converting -86999999999.9941 in a scientific notation
In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:
−86999999999.9941 ⟶ 86999999999.9941
In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:
8.6999999999.9941
So, we need to move the decimal point 10 places to the right.
This means that the power of 10 will be positive 10.
Now we have that the
Number part = 8.69999999999941 and
Exponent part = 10
Thus, we conclude that:
−86999999999.9941 = − 8.69999999999941 × 10¹⁰
What is the solution to this equation?
9x + 5 = 86
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.
Answer:
Step-by-step explanation:
63
1/7x-5=4
1/7x=9
X=63
a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?
A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)
Answer:
c or d
Step-by-step explanation:
Plz answer corecctlt 4 1⁄6 ÷ 1 1⁄3 = and also give the mixed fraction
Answer:
The answer is 0.5 and the Mixed Fraction is 1/2
Step-by-step explanation:
Answer:
3 1/8
Step-by-step explanation:
im only answering this late incase if someone else is looking for the right answer
1. Explain whether each following example is proportional or non-proportional.
(a)y=7x-3
(b)The graph is for b
(c) A gallon of milk costs $1.99. A half-gallon of milk costs $3.89.
(d)
x y
2 13
3 19.5
4 26
5 32.5
9514 1404 393
Answer:
(a), (b), (c) are non-proportional
(d) is proportional
Step-by-step explanation:
An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).
The table of (d) is proportional, with a constant of proportionality of 6.5.
__
Comment on (c)
In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.
manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchased and y represents the number of songs purchased, write a linear equation that represents the combination of apps and songs manuel can purchase.
Answer:
2x + y = 15
Step-by-step explanation:
Total amount with Manuel = $15
Cost of apps = $2
Cost of song = $1
x = number of apps purchased
y = number of songs purchased
Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel
2*x + 1*y = 15
2x + y = 15
The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15
Which expression fits this description?
-The expression is the sum of two terms.
-the first term is the product of 2 and a.
-the second term is the quotient of b and 4.
-----------------------------------------------------------------
(2+a)+(b-4)
2a+(b-4)
2a+b/4
(2+a)+b/4
Answer:
i didthe math, its c
exact decimals of 7 5/6
Answer:
7.83 repeating
Step-by-step explanation:
Cal’s
Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answer:
Growth rate is -0.25
Growth factor is 0.75
Step-by-step explanation:
The general form of an exponential equation is;
y = a(1 + r)^x
Where a is the initial value
r is the growth rate
For x = 3; we have
168.75 = 400(1 + r)^3 •••• (i)
For x = 2, we have
225 = 400(1 + r)^2 •••••(ii)
Divide i by ii
That will be;
168.75/225 = 1 + r
1 + r = 0.75
r = 0.75-1
r = -0.25
The growth rate is -0.25
The growth factor is 1-0.25 = 0.75
A dolphin is 40 feet below sea level. It swims up and jumps out of the water to a height of 10 feet above sea level.
How many feet did the dolphin change it's position?
Answer: 50 feet
Step-by-step explanation: it went 40 feet to get to the surface of the water then it went and extra 10 feet above water so 40+10=50
-2=-2/3x
write in standard form pls answer quick
Answer:
2x=6
Step-by-step explanation:
I need help solving this
Answer:
I think it's C.
Step-by-step explanation:
The Correct and Right Answer Is C
What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?
Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.
Answer:
[tex]x = bc + 2b[/tex]
PLEASE MARK ME AS BRAINLIEST
What is the value of x in the equation 3 - 2x= -1 5x?
Answer:
x = -2
Step-by-step explanation:
Simplifying
2x + -5x = 3x + 12
Combine like terms: 2x + -5x = -3x
-3x = 3x + 12
Reorder the terms:
-3x = 12 + 3x
Solving
-3x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3x + -3x = 12 + 3x + -3x
Combine like terms: -3x + -3x = -6x
-6x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-6x = 12 + 0
-6x = 12
Divide each side by '-6'.
x = -2
Simplifying
x = -2
Pleaseeeee help meeeee !!!!!!!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
8^2+√34^2
64+1156
1227
√1227
35.02
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go charges a $2 monthly fee plus $4 per game. Given the same to stores Games-R-Us and Games2Go, how many games would you have to rent from each company to have your total cost be the same amount?
Answer:
4 games
Step-by-step explanation:
Let the number of games rented from both be represented by: g
For Games - R - Us
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental.
$10 + $2 × g
= 10 + 2g
For Games2Go
Games2Go charges a $2 monthly fee plus $4 per game.
$2 + $4 × g
= 2 + 4g
Hence,
Games-R-Us = Games2Go
10 + 2g = 2 + 4g
Collect like terms
10 - 2 = 4g - 2g
8 = 2g
g = 8/2
g = 4 games
Therefore, number of games you would have to rent from each company to have your total cost be the same amount is 4 games
Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.
Answer:
-1.6
Step-by-step explanation:
4 + 10x = -12
10x = -12 -4
x= -1.6
I need help! and someone to tell me how to do it
step by step i have my exams tmr!
Answer:
Step-by-step explanation:
if you look at the graph 0-3 is positive
so that gives us 3+
3-2(you count 3 to -2 is negative since it goes left
so that gives us 3+(-5)
thks
Help please!!!!!!!!!!!!!!!!!!
Answer:
trapezoid
Step-by-step explanation:
9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.
[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:
Step-by-step explanation:
a)
x= gourmet pretzels
y= boxes of strawberries
system will be:
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]
b)
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]
a box of strawberries is 6.5
Aye plz help. Im abt to die. Find the perimiter of the shape below.
Answer:
40
Step-by-step explanation:
Add all the sides together which is 40
Answer:35
Step-by-step explanation:
the sale price of a 26$ item are a 50% discount
QUIC what is the LCM of 6 and 8
Answer:
24
Step-by-step explanation:
Find the area of the circle r=14 using 3.14 and round the answer t on the nearest hundredth
suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
Evaluate
41+31
21
Answers 10’ 8’ 15
Answer:
the answer its 15 I hope helps you
Step-by-step explanation:
Need help for this one!!
how many solutions does the following equation have?
4(2x+3)-7=8x+5
a- infinite
b- no solution
c- one solution
Do all numbers have a prime factorization
Answer:
It depends on the numbers
Step-by-step explanation:
Give some examples