Answer:
B) √a
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
√a = a^(1/2)
(a^b)/(a^c) = a^(b-c)
__
A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)
B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)
C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)
D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)
60 Point Question Answer ASAP! Brainliest to best/first answer
Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form
Answer:
C(C^3 + 8C^2 -3C -7)
Step-by-step explanation:
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)
(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2) -7C [Combine like terms]
C^4 + 8C^3 -3C^2 -7C [Simplify]
C(C^3 + 8C^2 -3C -7) [Isolate 1C from the rest]
Which property is shown?
2.1= 2
identity property of multiplication
distributive property
commutative property of addition
associative property of multiplication
Answer:it’s distributive property
Step-by-step explanation:
The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.
Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?
Answer:
50% 250x2=450
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
$225 x 2 = 450
this means the cell phones price was reduced by 50%
glad to help ;)
a letter is chosen at random from the word 'mathematics'. Fin the probability that letter T is not chosen.
Answer:
2/11 is the answer of your question
Ahem please some help please
[tex]4 \div 0.5[/tex]
please help i will give brainliest
[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]
Mrs ray is teaching a 5th grade class . She is standing 5 meters in front of Kiara. Ian is sitting 12 meters directly to Kiara’a right . How far apart are Mrs Ray and Ian
Choices
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
The table below shows a proportional relationship.
X
-4
-2
0
2
4
у
-14
-7
7
14
What is the constant ratio k, Y ?
2
Answer: I think it is -7 and +7
9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?
10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint? · 9. 25 students each paid $6.50 to go to the museum ...
mathematics 8
.................................................plz helpp
Answer:
[tex]y\geq 18x+19y[/tex]
[tex]x+y\leq 13[/tex]
Step-by-step explanation:
Hope this helped! :)
5 meals cost 20 how much would 15 meals be
Answer:
15 meals would be $60
Step-by-step explanation:
15 ÷ 5 = 3
1. 5 = 20
2. 5 = 20
3. 5 = 20
15 = 60
Hope this helps! :)
Complete the two column proof
Answer:
Step-by-step explanation:
a. addition
b. division
c. given
Which set of values are equivalent.
what does c equal : c - 12 =-4
Answer:
c = 8
Step-by-step explanation:
c - 12 = -4
Add 12 on both sides
c = 12 + (-4)
c = 8
Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.
Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.
What is the slope for these cordinates
(-8,11) , (17,4)
Answer:
[tex]\displaystyle m = \frac{-7}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
Point (-8, 11)
Point (17, 4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-7}{25}[/tex][tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).
The standard formula to calculate slope is given by,
[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]The slope is -7/25.ARAT TIETE (Simplify): V125 - V45+ V5
Answer:
3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{125}[/tex]
= [tex]\sqrt{25(5)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]
= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{5}[/tex]
A light bulb can be at most 50 watts to be safely used in this light fixture
solve pls brainliest
Answer:
Down below
Step-by-step explanation:
No
no,
yes
,I am not sure,
yes
integers are whole numbers
I am not sure of one of them sorry.
Find the equation of the line perpendicular to y=(1/2)x+3, that passes through the point (2,-1).
Answer:
i believe that the answer is y= -1/2 +3.
Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just completed stop 8 and the map shows she is 20% complete. How many total stops are on her trip?
Answer: 40
Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total
The total number of stops in her trip is 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Amy has just completed stop 8 and the map shows she is 20% complete.
let the total number of stops be x
So, 20% of x = 8
20/100x= 8
1/5x = 8
x= 40
Hence, the total number of stops in her trip is 40.
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Erin and Jamie are collecting shells while the tide is out Erin has 27 shells and she has 9 more shells than Jamie write an equation for this situation and find how many shells Jamie has collected
Answer:
27-9= 18
Step-by-step explanation:
Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.
A train travels at a rate of 150 mph on a flat
plain. How long did it take the train to get from a
distance of 68 miles to 222 miles on its journey?
Answer:
61 minutes and 36 seconds
Step-by-step explanation:
150 mph is equal to 2.5 miles per minutes divide miles by 2.5
6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=
Answer:
6÷4(7+8) = 22,58-6(4+9)= 264÷8(9+3)= 6Step-by-step explanation:
6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,58-6(4+9)= 8-6(13)= 2 × 13= 26 4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6Josephine is looking for a new job as a plumber. She responds to a classified ad for a position that pays 54K. What would her weekly salary be to the nearest cent if she gets this job? A. $855.77 B. $1,038.46 C. 1,125.00 D. $1,057.69
Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.
It should be noted that there are 52 weeks in one year.
Based on the information given, the annual salary is given as 54000.
Therefore, the weekly salary will be:
= Annual salary / Number of weeks.
= 54000 / 52
= $1038.46
Her weekly salary is $1038.46.
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A computer costs £964. A tax of 18.5% is then added to the cost of the
computer.
Work out the amount of tax that is added to the cost of the computer.
Give your answer in pounds (£).
Answer:
The amount of tax is £178.34, and the full total is £1142.34.
Step-by-step explanation:
Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.
The amount of tax that is added to the cost of the computer is
£178.34.
What is tax?A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.
Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.
Assume the amount of tax that is added to the cost of the computer is
£{x}. Then, we can write the equation as -
{x} = 18.5% of 964
{x} = (18.5/100) x 964
{x} = 178.34
Therefore, the amount of tax that is added to the cost of the computer is
£178.34.
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simplify 3^-6x(3^4 divided by 3^0)^2
Answer:
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-6" was replaced by "^(-6)".
Equation at the end of step
1
:
34
{——}2
1
STEP
2
:
34
Simplify ——
1
Equation at the end of step
2
:
((3-6) • x) • (34^2)
Equation at the end of step
3
:
((3)(-6) • x) • 38
Dividing exponents:
4.1 38 divided by 36 = 3(8 - 6) = 32
Final result :
9x
The simplification of the given expression gives the value 9.
What is simplification?Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.
This can be done using various results or the basic operations of numbers.
Given expression is 3⁻⁶ × (3⁴ / 3⁰)².
We have to use product rule and quotient rule of exponents to simplify this.
We know that,
xᵃ × xᵇ = xᵃ⁺ᵇ
xᵃ / xᵇ = xᵃ⁻ᵇ
Also, (xᵃ)ᵇ = xᵃᵇ
3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴
Substituting,
3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²
= 3⁻⁶ × 3⁸
= 3⁻⁶⁺⁸
= 3²
= 9
Hence the simplified form of the given expression is 9.
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Tell whether the lines are parallel,
perpendicular or neither
Line 1:(-1,3), (-1,5)
Line 2: (0, 0), (0, 6)
Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4