Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]
= [tex]8^{(15-(-3))}[/tex]
= [tex]8^{(15+3)}[/tex]
= [tex]8^{18}[/tex]
The simplified form is 8^18
What are Exponents?The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Properties of ExponentsThe properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.
Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bmGiven:
8^15÷8^−3
Using
a^m / a^n = a^( m-n)
So,
8^15÷8^−3
=8^(15-(−3))
=8^(15 +3)
=8^18
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HELP ME PLEASE GUYS ! :)
Answer:
(12, 1)
Step-by-step explanation:
Arbitrarily choose y = 1. Then x - 6y = 6 becomes
x = 6(1) + 6, or x = 12.
Thus, one (of many) point on the graph is (12, 1).
what do I do here? please help
Answer:
x = 10
Step-by-step explanation:
8x - 12 and 6x + 8 are corresponding angles and are congruent , then
8x - 12 = 6x + 8 (subtract 6x from both sides )
2x - 12 = 8 ( add 12 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
Find a formula for the Nth term of sequence:
3,5,9,17
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
If today is Saturday, what day will it be 70 days from now?
Answer:
If today is Saturday, then after 70 days, we will be on a Saturday again.
Step-by-step explanation:
Basically, 70 days = 10 weeks
Which means: 1 week = 7 days
We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.
Hoped this helped.
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
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what is the answer for this question 7(x+4)-7=48-2x
Answer:
x = 3
Step-by-step explanation:
7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side
7x + 28 - 7 = 48 - 2x
7x + 21 = 48 - 2x ( add 2x to both sides )
9x + 21 = 48 ( subtract 21 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer: the answer is x=3
Step-by-step explanation:
step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x
step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x
step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48
step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x
step 5: 9x=27 now divide both sides by 9 so 27/9= 3
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
It takes 5 minutes to fill an empty aquarium to a depth of
5/8
meters. What is the unit rate in minutes per meter?
Answer:
1/8 meters per minute
Step-by-step explanation:
5/8 ÷ 5
I hope this helps!!
generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
what value should be placed in the second column for the range 6-10?
a. 2
b. 3
c. 5
d. 1
Answer:
D: 1
Step-by-step explanation:
There's only one number there between 6-10.
What kind of slope does the graph have?
It has a positive slope.
when it starts at the bottom left like that and goes up it is positive. :)
solving the math function
Answer: the answer is C
Step-by-step explanation: trust me took the final yesterday ♀️
Answer:
C) [tex]f(x)=(x-1)^\frac{1}{2}[/tex]
Step-by-step explanation:
The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, [tex]f(x)=(x-1)^\frac{1}{2}[/tex] is correct.
Need help l don’t understand
Step-by-step explanation:
open brackets and work out
Answer:
x = 12
Step-by-step explanation:
9(x - 11) = 9 ( divide both sides by 9 )
x - 11 = 1 ( add 11 to both sides )
x = 12
Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.
If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then
7 + t = P
1 + 3t = P
Solve for t :
7 + t = 1 + 3t
t - 3t = 1 - 7
-2t = -6
t = 3
So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.
110 < 2x + 10 pls helppppppp
110<2x+10
Step 1: Flip the equation.
2x+10>110
Step 2: Subtract 10 from both sides.
2x+10−10>110−10
2x>100
Step 3: Divide both sides by 2.
x>50
Step-by-step explanation:
Plz help me do this
Answer:
the rise is 6 and the run is 4
Answer:
The rise is 6 and the run is 4
A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?
Answer:
The answer is 90A because.....
Step-by-step explanation:
The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.
b) Solve x ^ 2 + 5x - 14 = 0
[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]
Answer:
x = -7 and x = 2
Step-by-step explanation:
x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.
Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
what is the answer for 4x<-28
Answer:
x < -7
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x.
(4x)/4 < (-28)/4
x < -7
Answer:
x<-7
Step-by-step explanation:
A recipe calls for cup
3/4of milk to make 4
cookies. If Sarah wants to
cut the recipe in, 1/2how
much milk would she
need?
3/ 8
of a cup.
Explanation:
You want half of the recipe, so you want half of
3/4
of a cup.
Of means multiplication when it comes to fractions, so multiply
3/4 by 1/2 to get 3/4 ⋅ 1/2 = 3/8
please help 50 pts and brainliest if correct
Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
How many fourth-fifths are in eight
Answer:
10
Step-by-step explanation:
8 ÷ 4/5 = 10
I hope this helps!!
What type of slope does the graph have!
Answer:
it either has a postive slope (when lines go uphill from left to right)
a negative slope (when lines go downhill from left to right)
a zero slope (when lines are horizontal)
or a undefined slope (when lines are vertical)
Step-by-step explanation:
hope this helps
Answer:
a negative slope of -2
Explanation:
slope = (y2-y1)/(x2-x1)
points (1,1) (0,3)
x1 = 0 y1 = 3
x2 = 1 y2 = 1
(1-3)/(1-0) = -2/1 = -2
Sam and Annie find a box of marbles in their dad’s closet. Sam claims that the marbles can be used to model the structure of a solid.
Marbles are solid in nature, they can be used to form objects of any kind, this makes them suitable for Sam's claim, the marbles can be used to model a typical structure of a solid, even though it is can only be a prototype.
There are two main categories of solids: Crystalline Amorphous.Crystalline solids are well ordered at the atomic level, and amorphous solids are disordered.
Types of crystalline solidsThere are four types of crystalline solids: ionic solids, molecular solids, network covalent solids, and metallic solids
The constituents of a solid can be arranged in two general ways: they can form a regular repeating three-dimensional structure called a crystal lattice
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What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5
if any doubt leave a comment
Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.
Answer:
3.3%
Step-by-step explanation:
77500-75000=2500
2500/75000 x100=3.3%
Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.
Answer:
x = 274 91/107
Step-by-step explanation:
This is called a "two-step linear equation" because it is solved in 2 steps.
Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.
2.14x -12.18 +12.18 = 576 +12.18
2.14x = 588.18
__
Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.
2.14x(1/2.14) = 588.18(1/2.14)
x = 274.850467... = 274 91/107 . . . the decimal fraction repeats
The solution to the equation is x = 274 91/107.
Answer:
x = 274 91/107
Step-by-step explanation:
Step-by-step explanation:
This is called a "two-step linear equation" because it is solved in 2 steps.
Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.
2.14x -12.18 +12.18 = 576 +12.18
2.14x = 588.18
__
Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.
2.14x(1/2.14) = 588.18(1/2.14)
x = 274.850467... = 274 91/107 . . . the decimal fraction repeats
The solution to the equation is x = 274 91/107.
please help !!!!!!!!!!!plss
Answer:
4
Step-by-step explanation:
replace x with its value to get
8-2y+3y=12 then combine like terms
8+y=12 subtract 8 from both sides
y=4
Answer:
the answer is numbe 1 which is 0
Step by step explaination: