Answer:
[tex]\displaystyle \frac{x^8}{x^6} = x^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Property [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{x^8}{x^6}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle \frac{x^8}{x^6} = x^{8 - 6}[/tex][Exponents] Subtract: [tex]\displaystyle \frac{x^8}{x^6} = x^{2}[/tex]You have a choice between going to an in-state college where you would pay $3000 per year for tuition and an out-of-state college where the tuition is $6500 per year. The cost of living is much higher at the in-state college, where you can expect to pay $1000 per month in rent, compared to $450 per month at the other college. Assuming all other factors are equal, which is the less expensive choice on an annual (12-month) basis?
Answer:
The less expensive choice is the out-of-state college
Step-by-step explanation:
in-state-college: 1000(12)+3000=15000
out-of-state-college:450(12)+6500=11900
2/5 × 6/7= simplify form
Answer:
2 x 6 = 12
5 x 7 = 35
12/35
Step-by-step explanation:
Answer:
12/35
Step-by-step explanation:
12/35
[tex]\frac{2}{5} *\frac{6}{7}[/tex]
You can't simplify 12/35
what is the scientific notation for 3 cm
Answer:So sorry come back later
So sorry come back later
Step-by-step explanation:So sorry come back later
help me with this guys !! (a lot is points like 80) PLEASEEE HELP
1)what is the value of this expression? 4m + 2n, when m = 7 and n = -2
2) Use the formula: P=abc, to work out for P when a = 2, b= 3 , c =4
3)what is the correct option (expression) for this “multiply n by 9 then adds 5’’?
options
a: 9(n+5)
b: 9n + 5
c: 5n + 9
d: 5(n+9)
4)use the position -to-term rule to find the first four terms in the sequence. term = 3x position number + 3
5) amy thinks of. number n. what is the correct expression if she doubles ur and -‘s 7
6)
Answer:
1) 24
2) 24
3) b. 9n +5
Step-by-step explanation:
1) substitute
4(7) + 2(-2)
solve
28 + -4
24
2) substitute
P = (2)(3)(4)
multiply
24
4) im not sure, my apologies
5) i'm not sure, i don't understand what's being asked, if you rephrase this, i can give you an answer
have a lovely day <3
Answer:
1) 24
2) P=24
3) B: 9n+5
4) 6, 9, 12, 15, 18, 21...
Step-by-step explanation:
1) 4(7) + 2(-2) = 24
2) P = (2)(3)(4) = 24
3) 9n+5
4) 3+3=6+3+3+3
The following list gives the number of public libraries in each of 8 cities.
8, 8, 11, 7, 10, 7, 9, 9
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
There are 3 modes: 8, 7, 9
Step-by-step explanation:
Mode is the number that appears the most often
how to solve f(4) = x^2+7x-22
Answer:
22
Step-by-step explanation:
1. Plugin 4 for each corresponding X value
2. Should look like 4^2+7(4)-22
3. Once ran through a calculator you should end up with a value of 22
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
S=4LW+2WH; S =138, L = 9, W = 3
Step-by-step explanation:
Given,
S = 4LW + 2WH
S = 138
L = 9
W = 3
so value of H,
→ 138 = 2(9)(3) + 2(3)H
→ 138 = 54 +6H
→ 6H = 138 - 54 = 84
→ H = 84/6 = 14
therefore, value of H is 14.
hope this answer helps you dear and may u have a great day, take care
Please someone help.. ASAP
Answer:
A straight
B obtuse
C acute
Answer:
1) Straight a
2)Obtuse c
3)Acute d
4)Reflex b
Step-by-step explanation:
please mark me as brainlest
If an angle cuts out an arc length of a circle AND the arc length is SHORTER than the
radius, what is true about the angle?
it is less than pi radians
it equals pi radians
it is greater than pi radians
We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.
The correct option is:
"it is less than pi radians"
A circle of radius R has a circumference:
C = 2*pi*R
An arc defined by an angle θ has a length:
L = θ*R
Now, we know that the length of the arc is smaller than the radius, then we have:
θ*R < R
Dividing both sides by R we get:
θ < 1
So we can see that the correct option is:
"it is less than pi radians"
Because it is smaller than 1.
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Is (2, 9) a solution to this system of equations?
y = 6x + 7
y = x + 7
yes
no
No it isn't. Using the substitution method, if we substitute x for 0, we get
y = 6(0)+7
y = 0+7
y = 7
y = 0+7
y = 7
Hence the solution is (0,7)
It took a manticore the same amount of time to fly 10 miles with the wind as 5 miles against the wind. What is the speed of the speed of the wind if the manticore flies 30 mph in still air?
Step-by-step explanation:
The time it takes for the manticore to travel 10 miles with the wind is given by
[tex]T_1 = \dfrac{10\:\text{mi}}{v_m + v_w}[/tex]
where [tex]v_m[/tex] is the speed of the manticore and [tex]v_w[/tex] is the speed of the wind.
Likewise, the time it takes for the manticore to travel 5 miles against the wind is
[tex]T_2 = \dfrac{5\:\text{mi}}{v_m - v_w}[/tex]
Since [tex]T_1 = T_2,[/tex] we can write
[tex]\dfrac{10\:\text{mi}}{v_m + v_w} = \dfrac{5\:\text{mi}}{v_m - v_w}[/tex]
After cross-multiplying,
[tex]10(v_m - v_w) = 5(v_m + v_w)[/tex]
[tex]\Rightarrow 10v_m - 10v_w = 5v_m + 5v_w[/tex]
Collecting similar terms, we get
[tex]15v_w = 5v_m[/tex]
Solving for [tex]v_w,[/tex] we get
[tex]v_w = \dfrac{5}{15}v_m = \dfrac{1}{3}v_m[/tex]
[tex]\:\:\:\:\:\:\:=\dfrac{1}{3}(30\:\text{mi/hr}) = 10\:\text{mi/hr}[/tex]
Speed of the wind as the mantle flies 30 mph is;
10 mph
We know that formula for time is;t = distance/speed
Let v_m be speed of manticore
Let v_w be wind speed
Time for it to fly 10 miles with the wind is;t = 10/(v_m + v_w)
Time for it to fly 5 miles against the wind is;t = 5/(v_m - v_w)
I used negative sign between v_m and v_w because the motion is against the wind.
Since we are told the mantle flies 30 mph in air and the times in both cases are equal, then we have;10/(30 + v_w) = 5/(30 - v_w)
Rearranging gives us;
(10/5)(30 - v_w) = 30 + v_w
2(30 - v_w) = 30 + v_w
60 - 2v_w = 30 + v_w
30 = 3v_w
v_w = 30/3
v_w = 10 mph
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someone please answer!!
Answer:
40°
Step-by-step explanation:
180-(57+43)=100°
which mean the angle at the top =100°
180-100=80°
x=80/2
x=40
Click the least number in this set of numbers.
|-1.61,
5.28 x 10,
V50,
2
5
0.3
Answer:
-2/5 is correct
Step-by-step explanation:
Someone help me with this it’s due!!!!
Hi the answer is 10.
The left side went from 18 to 6. So it got scaled down by a factor of 1/3.
If the bottom side is originally 30. It will get scaled down to 10 because 30*1/3 = 10.
Heyyy can you help yes no maybe do.?.?.?.?.?
The answer is 5.10.
Wanna know why? Well
63.50 divided by 5 Minus .90. Your welcome
I know I'm awsome.
Brainliest pls
Here is a list of numbers:
24
,
87
,
79
,
82
,
12
,
2
,
79
,
32
,
46
,
90
Answer:
Light Red
Step-by-step explanation:
The pH of apple juice is found to be in the range of 2.9 - 3.5. So, the Colour of the universal indicator (pH paper) will be light red.
(11/0x−2/3)−(4/5x−1/6)
(−5/6x−7/12)−(−1/3x−1/4)
(−1/2x+7/10)−(−3/4x−1/5) .
Answer:
21x
Step-by-step explanation:
21×
Step-by-step explanation:
that my answer my anwer
can someone explain this
Answer:
Step-by-step explanation:
To find measures of angles m and n
The triangle to the left has three sides of equal length.
This means that it will also have three angles of equal measure.
The internal angles of a triangle sum to 180°
So the internal angles of the left triangle are 180/3 = 60°
The top right angle is made up of one of the 60° angles and angle n
60 + n = 90
n = 30°
Again the internal angles of a triangle sum to 180°, so the right triangle
m + n + 90 = 180
m = 180 - 90 - 30
m = 60°
or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.
Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore
m = 60°
Maggie's brother is 4 years younger than twice her age. The sum of their ages is 17.
How old is Maggie?
Maggie is
years old.
Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length 3/8, width, and height of centimeter, 1/8 centimeter, and centimeter, 5/3 respectively.
The volume of the block is cubic centimeter. The number of cubic wooden blocks with a side length of centimeter that can be cut from the rectangular block is .
Reset Next
Given : A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter, respectively.
To Find :The volume of the block
The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut from the rectangular block .
Solution:
Volume of rectangular prism = length * width * height
= (3/8) ( 1/8) ( 5/8)
= 15/8³
= 15/512
= 0.029296875 cm³
Volume of block = 15/512 cm³ or 0.029296875 cm³
Volume of cube = ( edge length )³
=> cubic wooden blocks volume = (1/8)³ = 1/512 cm³
The number of cubic wooden blocks that can be cut = (15/512) / (1 /512)
= 15
Volume of block = 15/512 cm³ or 0.029296875 cm³
The number of cubic wooden blocks that can be cut = 15
The volume of the wooden block is 5/64 cubic centimeters
How to determine the volume of the wooden block?The given parameters are:
Length = 3/8
Width = 1/8
Height = 5/3
The volume of a rectangular prism is:
Volume = Length * Width * Height
So, we have:
Volume = 3/8 * 1/8 * 5/3
Evaluate the product
Volume = 5/64
Hence, the volume of the wooden block is 5/64 cubic centimeters
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Use the diagram to find the measures of each angle. Explain your reasoning.
Answer:
EBD:130°
ABE:50°
Step-by-step explanation:
EBD=ABC=130°
ABE=CBD=50°
A student is ordering dried chili peppers and corn husks for a cooking class.
Chili peppers cost $16.95 per pound.
Corn husks cost $6.49 per pound.
The student plans to spend less than $50.
Here are the inequality and graph that represents this situation.
16.95p+6.49h<50
p represents the number of pounds of dried chili peppers
h represents the number of pounds of corn husks
Which combinations of pounds of dried chili peppers (p) and corn husks (h) can the student purchase? Select all that apply.
A 1 pound of dried chilis and 5 pounds of corn husks1 pound of dried chilis and 5 pounds of corn husks
B 2 pounds of dried chilis and 1 pound of corn husks2 pounds of dried chilis and 1 pound of corn husks
C 0 pounds of dried chilis and 7 pounds of corn husks0 pounds of dried chilis and 7 pounds of corn husks
D 4 pounds of dried chilis and 0 pounds of corn husks4 pounds of dried chilis and 0 pounds of corn husks
E 1 pound of dried chilis and 3 pounds of corn husks1 pound of dried chilis and 3 pounds of corn husks
F 3 pounds of dried chilis and 3 pounds of corn husks
Answer:
e, b
Step-by-step explanation:
you gotta multiply and see if it matches the inequality
(B) 1. Noah is three years younger than four times the age of his brother. Select all the equations that correctly represent the relationship between Noah's age n and his brother's age b. A. n = 3 - 46 B. n = 4b - 3 C. n = 4(6-3) D. b = " E. b = 4n - 3 F. b = +3
Answer:
i beleive it would be b4-3=n
3(2x+5)=45 I need help doing it in the proof form in 4 steps
Write the value of 7 in the number762,039.34
Answer:
700,000.00
Step-by-step explanation:
Answer:
the place value is in the hundredth thousands
convert 84 2/3% to a fraction in lowest terms
Answer:
Step-by-step explanation:
Multiply the numerator by the reciprocal of the denominator.
251
300
= 56
How do you convert a fraction into percentage?To write the fraction as the % we 1st need to write it as a fraction out of 100.We write the fraction out of 100 by using equivalent fractions.This means that we must multiply numerator. The number on above of the fraction.We can 1st multiply the top or bottom of the fraction 4 / 5 by 2.
Any number can be converted to fraction if you use one for the denominator:
84/1
Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.
all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :
2 x 84 / 3 x 1
= 168 / 3
In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.
We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.
168/3 = 56
3/3 = 1
When we put that together, we could see that our complete solution is:
56/1
= 56
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The figure below has a point marked with a large dot.
First, rotate the figure 270° clockwise about the origin.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
( 5 , - 3 ) -------> ( 3 , 5 )
Step-by-step explanation:
After the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size and shape of the figure stays exactly the same.Given is a figure rotated 270° clockwise about the origin.
The algebraic rule for a figure that is rotated 270° clockwise about the origin is -
(x, y) → (y, -x)
Initial point marked on the figure : (5, 3)
After the rotation, the points will be : (3, - 5)
Therefore, after the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).
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Describe or show how to find the following product using both an algorithm and a diagram:1/4×2/3
An algorithm is the series of steps followed to do calculations especially by a computer.
[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{12}[/tex] =[tex]\frac{1}{6}[/tex]
The algorithm would use the multiplication of the numerator with the numerator and the denominator with the denominator for solving simple multiplication of the proper fractions.
[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex]
= (1×2)/(4×3) ⇒ the numerators are multiplied and so the denominators
= 2/12
Now 2 is taken as common from both 2 and 12 ( numerator and denominator)
= (2/2 ) 1/6 taking 2 as common factor
= 1/6 cancelling 2 by 2
The diagram can be used to explain the same fact.
1 is multiplied with 2 and 4 is multiplied with 3.
Therefore we get 2 as numerator and 12 as denominator.
2/12 is further reduced to 1/6
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Please help, I'm confused
30 x ( 3 x 10 negative 4) Be sure the answer is in scientific notation. A) 90 x 10 negative 4. B) 9 x 10 negative 3. C) 90 x 10 negative 3. D) 9 x 10 negative 5
Answer:
are these all the same question?