is the expression a^12 x a^4 equivalent to a^8 x a^8
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Properties of indices.
Here, we have to prove that, if the above exponential equation are equal or not., let's prove it
1.)L.H.S
a^12*a^4 = a^m*a^n ===> a^(m+n)
hence, a^(12+4) ===> a^(16)
2.) R.H.S
===> a^8*a^8 = a^(8+8) ==> a^(16)
since here, LHS = RHS
so both are equal.
Having trouble solving this:
Answer:
1/250
Step-by-step explanation:
0.4% in fraction form is 0.004
or 4/1000
4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)
Tom is playing at the opposite corner of the playing field to his friend . If the playing field is 180m wide and Tom is 300m away from his friend, how long is the playing field
Answer:
240 m
Step-by-step explanation:
we can picture this as a right triangle
(180)^2 + (l)^2 = (300)^2
300 would be the diagonal of the triangle since it is at the opposite corner
180 would be the height/leg of the triangle
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
To know more about the equation, here
https://brainly.com/question/2972832
#SPJ2
Connections Academy Sample Work Pre Calc
Please Help!!!
I believe
y (theta) = 3 sin t
and
a(theta) = 3 cos t
but that might be wrong because I'm so confused. Please Please help!
Step-by-step explanation:
sintheta=y/3"theta=sin-¹(y/3")
cos theta=a/3"
theta=cos-1(a/3)
sin beta=y/7"
beta=sin-¹(y/7")
b=√{y²+7" ²}
sorry last one I don't know
Answer:
sinθ = y/3 ⇒ y(θ) = 3 sinθcosθ = a/3 ⇒ a(θ) = 3 cosθsin β = y/7 = 3 sinθ / 7 ⇒ β(θ) = arcsin (3/7sinθ)b(θ) = √(7²-y²) = √(49-9sin²θ)p(θ) = a(θ) + b(θ) = 3 cosθ + √(49-9sin²θ)The graph is attached
---------------------------------------
p.s.
b(θ) can be put in different way:
cos β = b/7 ⇒ b(θ) = 7 cos β = 7cos(arcsin(3/7sinθ))Then
p(θ) = a(θ) + b(θ) = 3 cosθ + 7cos(arcsin(3/7sinθ))This doesn't change the function or the graph
Which point is the intersection of RS and VT?
Answer:
point U
Step-by-step explanation:
I learned this before
Hope this helps
Radius is 8 ft. whats the answer
Answer:
Area = 64pi, Circumfrence=2pi(8)
Step-by-step explanation:
Answer:
Depends. Down below.
Step-by-step explanation:
It depends.
Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft
Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft
A workman received $110 for working 20 hours. At the same rate of pay, how many hours must he work to earn $187?
Answer:
He must work 34 hours
Step-by-step explanation:
187×20= 3740
3740÷110= 34
If a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A workman received $110 for working 20 hours.
We will apply the unitary method in order to solve the given problem.
For $110 he has to work 20 hours.
$110 = 20 hours
For 1 dollar he has to work,
$1 = 20 / 110
$1 =0.1818 hours
The number of hours must he work to earn $187 will be,
$187 = 187 × 0.1818 hours
$187 = 33.99 hours
Thus, if a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Whoever get this right, gets a free hamster
Answer:
it's C
Step-by-step explanation:
pink or purple hamster plz :D
omg paint strips, that's the way to go
PLEASE HELP IM BEING TIMED I WILL MARK BRAINLY
Which inference is reasonable based on the data in the scatter plot?
A If Person A goes to school for 16 years and Person B goes to school for 12 years, Person B can expect to make
more money than Person A.
* If Person B does not go to college and Person A goes to college, Person B will earn more money than Person A.
© If Person A goes to school twice as long as Person B, Person A can expect to make twice as much as Person B.
D
If Person B goes to college and Person A does not go to college, Person B is likely to earn more money than
Person A.
We don't have the scatter plot
Solve for θ. Please help me!!
We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.
[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]
[tex] = 30 \: degrees[/tex]
CAN SOMEONE HELP ME PLEASE!!!
Answer:
i think this is right
Step-by-step explanation:
4
Bir sayının 2 bölü 5 'sinin 3 eksiği, bu sayının çeyreğine eşittir.
Buna göre bu sayı kaçtır?
Answer:
si cardo bahyanbayansusb
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
Answer:
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).
Answer:
< 40, 28, 72 >
Step-by-step explanation:
Given
y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then
6y + 4z
= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >
Multiply each component by the scalar quantity
= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >
= < 12, 36, 48 > + < 28, - 8, 24 >
Add corresponding components
= < 12 + 28, 36 - 8, 48 + 24 >
= < 40, 28, 72 >
Which equation represents the line that passes through the point (1, 5) and has a slope of -2?
Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7
The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?
Answer:
there would be 40,960 tree frogs i think
Step-by-step explanation:
Answer:
640 tree frogs
Step-by-step explanation:
If 1 month = 4 weeks
3 months = 12 weeks (3x4)
After 2 weeks the frogs double to 20
After 4 weeks the frogs double to 40
6 weeks, it doubles to 80
8 weeks, it's 160
10 weeks it's 320
12 weeks, it's 640
Find the value of x. Round your answer to the nearest whole degree.
Answer:
68°
Step-by-step explanation:
arctan(x) = 5/2
make the most childish answer possible and ill give you brainliest
Answer:
yo mama
Step-by-step explanation:
Answer and Step-by-step explanation:
Find [x]: <--------------- (Childish Answer)
|
|
4 + y = 3x - 5 |
|
|
----------------------------^
^---------------
I found x!! ^
#teamtrees #WAP (Water And Plant)
How to graph this???
Answer:
you cant see the full picture.
Step-by-step explanation:
I need someone to confirm it is this correct?
Answer:
Yes your answers are correct.
Step-by-step explanation:
Answer:
Yes it is. Good job!
Step-by-step explanation:
Help me with the area of the following triangle??? 25 POINTS question
-13/2x+1 is the answer which the area
How to find it simple:
Do 1/2*3x-4
then use that answer and multiple it with the height which is 2x+1 and you get the answer.
Just want answers/brainliest if right!
Answer:
the first one is D, the second is B, hope this helps
Step-by-step explanation:
help help please!!!! thank youuu
Answer:
*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*
1. b+8=14
Subtract 8 from both sides
b=6
Check: 6+8=14 ——— 14=14
2. 25-t=15
Subtract 25 from both sides
-t = -10 ––Divide both sides by -1
t=10
Check: 25-10=15 ——— 15=15
3. 9p=81
Divide both sides by 9 to get p alone
p=9
Check: 9(9)=81 ——— 81=81
4. y/7= 2
Multiply both sides by 7 to cancel out the fraction
y=14
Check: 14/7=2 ——— 2=2
5. y+6=10
Subtract 6 from both sides
y=4
Check: 4+6=10 ——— 10=10
6. f-4=9
Add 4 to both sides
f=13
Check: 13-4=9 ——— 9=9
7. 8d=48
Divide both sides by 8 to get d alone
d=6
Check: 8(6)=48 ——— 48=48
8. 10 = r/5
Multiply both sides by 5 to cancel out the fraction
50 = r
Check: 10=50/5 ——— 10=10
9. 15=x/3
Multiply by 3 to cancel out the fraction
45=x
Check: 15=45/3 ——— 15=15
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The point is on the line.
The coordinate values satisfy the equation:
1/3x + y = 12
1/3(3) + 11 = 12 . . . substitute for x and y
1 + 11 = 12 . . . . . . . true
Any point that satisfies the equation is a solution. (3, 11) is a solution.
find the missing measure
Answer:
Step-by-step explanation:
if m1=2x° and m3=3x° what is m1
Answer:
36
Step-by-step explanation:
Using the angle addition postulate
angle 1+angle 2+angle 3=180
Angle 2 is 90 degrees,
Angle 1 is 2x degrees
Angle 3 is 3x degrees
Plug this into equation
[tex]2x + 90 + 3x = 180[/tex]
[tex]5x + 90 = 180[/tex]
[tex]5x = 90[/tex]
[tex]x = 18[/tex]
Plug 18 into 2x
[tex]2(18) = 36[/tex]
yoo hii, could yall please help me!!
(6x+y)(6x-7) What is the answer?
= 6x + 6x - 6x × 7 + 6xy - 7y
36x2 - 42x + 6xy - 7y
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
Answer:
No.
Step-by-step explanation:
You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.
No, this point does not lie on the line y = x + 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the equation of line as -
y = x + 6
For point (6, 0), we can write -
0 = 6 + 6
0 ≠ 12
Therefore, no, this point does not lie on the line -
y = x + 6
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2