Given that (3^-2×4^-2)^-3 = 12^x
⇛ [(3×4)^-2]^-3 = 12^x
Since a^m × b^m = (ab)^m
⇛(12^-2)^-3 = 12^x
⇛ 12^(-2×-3) = 12^x
Since (a^m)^n = a^mn
⇛ 12^6= 12^x
⇛6 = x
Since the bases are equal then exponents must be equal
Therefore,x = 6
Additional comment:-
If the bases are equal then exponents must be equal.
also read similar questions:- will give brailiest will give brailiest Which expression models the given phrase? half of the product of x and 3. 3x/2 (3+x)/2 2(3x) 2(x+3) Simplify the followi...
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PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
6 and 28
Step-by-step explanation:
Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.
Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.
wuts x im so confuseded 15 points uwu
−2/9x+2.7=4
Answer:
[tex]x=-5.85[/tex]
Step-by-step explanation:
[tex]-2/9x+2.7=4[/tex]
Subtract 2.7 on both sides
[tex]-2/9x=1.3[/tex]
Multiply by 9
[tex]-2x=11.7[/tex]
divide by -2
[tex]x=-5.85[/tex]
Apple pie is my favorite. I bake a lot of it, last year I got a little carried away and had 7 1/4 pies left over. I cut the pie into pieces to freeze and save for later. Each piece as 1/8 of a whole pie. How many pieces of pie did I freeze?
Answer:
58
Step-by-step explanation:
You would have to turn 7 1/4 into a whole fraction.
Do,
7 * 4 = 28
28 + 1 = 29
Your new fraction would be,
29/4
Now you have to make them equal denominators as 1/8.
Lets see,
Now multiply 4 * 2 is 8.
So multiply 29 times 2.
Which is 58.
Your new fraction is,
58/8
So therefore you would have 58 pieces.
1.
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)^2
A. vertex, (3, 0); y-intercept 4.5
B. vertex, (–3, 0); y-intercept, 4.5
C. vertex, (–3, 0); y-intercept, 1.5
D. vertex, (3, 0); y-intercept, 1.5
Answer:
A. vertex, (3, 0); y-intercept 4.5
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 3 , 0 )
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s):
( 3 , 0 )
y-intercept(s):
( 0 , 4.5 )
Which option shows the equation for the line in the graph
Answer:
y=-3x-10
Step-by-step explanation:
The y-intercept is -10 and the line is going in a negative direction. Meaning the slope will be negative.
Looking at the options, you can tell that the answer will in fact, be y=-3x-10
Or to solve, -2,-4 and -5,5
5--4 to get 9
-5--2 to get -3
9/-3 gets you -3. The slope of the line is -3. And you can notice that the intercept is -10.
This gets you y=-3x-10
The answer to this question
Answer:
I don't know the answer sorry
Round 4.789473684 Please
Please hurry and actually help!
Answer:
4.79 or 4.789
Step-by-step explanation:
the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both
Solve the slope for the table.
the answer to your question is slope is 6
solve for x
9 = x/12
Answer:
X=108
Step-by-step explanation:
Step-by-step explanation:
I have solved the answer in the attached image please ask if you have any query
40 cans of food. 30% of cans damaged. how many cans were damaged?
Answer:
12 cans were damaged
EXPLANATION:
Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food
What is a negative control.
Answer:
Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.
Step-by-step explanation:
solve pls brainliest
Answer:
18 square feet
Step-by-step explanation:
hope this helps :)
Answer:
18 ft might be the answer
In the diagram, m
and Q is the center of the circle. Name two triangles that are congruent.
Answer:
Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.
8 pages
Step-by-step explanation:
In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.
In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.
How to turn improper fractions into mixed numbers.
Answer:
To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion
Step-by-step explanation:
Convert 23/4 into a mixed fraction
this is homework and can someone do this because I have more homework to do.
Answer:
So the answer is the type of graph this is it is a tsunami graph telling about
Step-by-step explanation:
the percentage of it
solve 3(2x - 3) + 4x = -59
Answer:-5
Step-by-step explanation:
Estimate 4732 divided by 13
Answer:
364
Step-by-step explanation:
13÷4732= 364
I hope it help^^
Simplify. (−5)^5(−5)^−6
Answer:
Step-by-step explanation:
In exponents multiplication, if bases are same, add the powers
[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]
Answer:
Your answer would be:
-1/5 or -0.2
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on the farm?
HELP ME PLEASE!!! ITS DUE TONIGHT
Answer: They know approximately how many hours they will need to seed and harvest and can plan
Step-by-step explanation:
15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1
50 point question. Please help my math grade is way to low
Answer:
1 1/2
Step-by-step explanation:
it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours
A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer
Answer:
50 N
Step-by-step explanation:
Given :-
Mass = 10 kg
Acceleration = 5 m/s²
To find
Force applied
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 10 × 5
We have the final answer as
50 N
(Hope this helps can I pls have brainlist (crown)☺️)
[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]
[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]
[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]
[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]
Henceforth :
The force applied on the computer is 50 N.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
The quotient of eight and the number H is written as?
Answer:
8/h
Step-by-step explanation:
Quotient means division, so basically you are dividing 8 by h.
Answer:
8/H
Step-by-step explanation:
8/H - Just divide 8 by H
Solve the problem.
Determine the resultant effect of three people pulling on a car as shown in the drawing
a = 75.0 lb, b = 77.0 lb, c = 52.0 lb, d = 32°, e = 22°
m= -2 b=15 write the equation of the line
Answer:
y=-2x+15
Step-by-step explanation:
Hi there!
We are given that m=-2, b=15, and we want to write the equation of the line, given these values
We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.
Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.
Substitute -2 as m:
y=-2x+b
Substitute 15 as b:
y=-2x+15
Hope this helps!
A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?
Answer:
P = 34 1/8 inches
Step-by-step explanation:
P = 2l + 2w
P = 2(10 3/16) + 2(6 7/8)
convert 10 3/16 to an improper fraction: 163/16
convert 6 7/8 to an improper fraction: 55/8, which equals 110/16
P = 2(163/16) · 2(110/16)
P = 326/16 + 220/16
P = 546/16
P = 34 1/8 inches
solve pls brainliest
Answer:
Area of the garden is 20 sq. yards
Step-by-step explanation:
A = LW
(The whole figure which is a 6 by 6) - (area of the pool) = The area of garden
(6 × 6) - (4 × 4)
36 - 16 = 20
What portion of the population are eligible voters and over the age of 24? one-fourth one-third one-half two-thirds.
The portion of a population is simply a fraction of the population.
The required parameters are missing.
So, I will solve this question using the following parameters
Population = 600Eligible voters over the age of 24 = 400So, the portion of the population that are eligible voters over the age of 24 is calculated by dividing the number of eligible voters over the age of 24 by the overall population.
So, we have:
[tex]\mathbf{Portion= \frac{400}{600}}[/tex]
Simplify the fraction
[tex]\mathbf{Portion= \frac{2}{3}}[/tex]
2/3 means two-third
Hence, the portion of the population that are eligible voters over the age of 24 is two-thirds
Read more about portions and fractions at:
https://brainly.com/question/322203
Answer: Option D, “two-thirds”
Step-by-step explanation:
edge 2022
Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and
segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] is perpendicular bisector of [tex]{}[/tex][tex]\overline {AC}[/tex] Given
[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex] [tex]{}[/tex] Definition of bisected line [tex]\overline {AC}[/tex]
∠BDC = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠BDA = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠ABD ≅ ∠CBD [tex]{}[/tex] Given on the diagram
ΔABD ≅ ΔCBD [tex]{}[/tex] by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
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Find the perimeter. Simplify your answer.
Answer:
25x - 4
Step-by-step explanation:
10x + 2 + 8x + 7x - 6
= 25x - 4