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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Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.
The number of years it would take Becky to double the amount invested is 10 years.
The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.
Rule of 70 = 70 / interest rate
70 / 7 = 10 years
To learn more, please check: brainly.com/question/2262294
Answer:
About 14.3 yearsStep-by-step explanation:
The function for this case would be:
f(x) = 7x, where f(x) is the average return of %, x - is the number of yearsIf we need the money to double, the return rate should be 100%:
7x = 100x = 100/7x = 14.3 yearsfind the nth term in the following sequesnce: 1, 3, 9, 27
Answer:81
Step-by-step explanation: it is skip by 3x so 21 x3 = 81
:)
(03.01)
Is the following relation a function? (1 point)
O Yes
O No
Answer:
No
Step-by-step explanation:
That is not a function because it didn't pass the vertical line test
A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?
Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose...
feet
Choose...
sea level.
Answer:
The Scuba diver is 21 feet below sea level
Step-by-step explanation:
I took the test and it was this
The position of the scuba diver relative to sea level is 17 feet below surface.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
Let the position of the fish is at x feet from surface of the ocean
Therefore, the position of scuba diver = x-4
Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)
According to question,
2(x-4) = -34
2x-8 = -34
2x = -26
x = -13
Therefore, the position of the diver = -13-4 = -17
Hence, the position of the scuba diver relative to sea level is 17 feet below surface.
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Write 0.012 as a fraction in simplest form.
Answer:
3/25Step-by-step explanation:
Remove The decimal,
= > 0.012 = 12/100
= > 3/25...ans
Hope it Helps you!!In the adjoining figure, AB = DC, ∠BAC = ∠BDC = 90ᵒ, Which of the following
statement is true?
Answer:
i
Step-by-step explanation:
We have to match the corresponding angles and sides of the 2 triangles.
∡ A corresponds to ∡ D
∡ B corresponds to ∡ C
∡ C corresponds to ∡ B
i) Δ B A C ≅
⇵ ⇵ ⇵
Δ C D B
List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54
Answer:
12, 30, 36, 48
Step-by-step explanation:
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.
Answer:
I think it's B.
Step-by-step explanation:
:)
Elimination Method: 6x - 4y = -24 and 4x + 5y = -2
Answer:
[tex](-2;-6)[/tex]
Step-by-step explanation:
First of all, let's rewrite the first one after dividing both sides by 2.
[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]
Now, let's pick one you want to eliminate.
Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable
[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]
Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable
[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]
What is 45% written as a fraction in lowest terms?
Enter your answer by filling in the boxes.
Answer:
✓ 45% = 9/20
Step-by-step explanation:
What box?
Answer:
9/20.
Step-by-step explanation:
45/100
= 45/5 / 100/5
= 9/20.
please answer and show work ill give u 70 point
1.answer
15/8-5/8=10/8answer
2.
9/5-1/5=8/5answer
3.3/2-1/2=2/2answer
Answer:
first question= 7/8
second question= 8/5
third question= 1
fourth question=23/8
fifth question=9/8
final question= 1/3
Step-by-step explanation:
1) 15/8 - 5/8 = 7/8
since the denominator is the same, it will be easier
do 15-8
which is 7
so the final answer is 7/8
(Remember that you don't subtract the denominator)
2) 9/5 - 1/5 = 8/5
Using the same method as the first question, you should get 8/5
8/5 as a mixed fraction would be 1 3/5
3) 1 1/2 - 1/2= 1
1 1/2 into a mixed fraction = 3/2
3/2-1/2
=2/2, which is 1
4) 3 1/4 - 3/8=23/8
3 1/4 as a mixed fraction is 13/4
so the equation would be 13/4 - 3/8
however, the denominator is not the same
and the least common multiple is 8
so 13/4 = 26/8
26/8-3/8= 23/8
5) 5/4 - 1/8 = 9/8
5/4 doesn't have the same denominator as 1/8, so you change it into 10/8
10/8-1/8
9/8
6) final question :)
5/6 - 1/2= 1/3
1/2 = 3/6
5/6-3/6
=2/6
after simplifying= 1/3
Hope it helps and have a nice day!
Mark me as branliest pls
Is (1,0) (3,0), (1,1) (3,1) (1,3) a function
Answer:
yes
Step-by-step explanation:
Can somebody solve this question?
Answer:
3 is the answer because it's value only add by the 3
im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
Answer:
Step-by-step explanation: How do you find the 3rd angle of a triangle?
Image result for im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
The three angles of any triangle add up to 180 degrees. Since you know two angles (35 and 40), add them together, then subtract the total from 180 to determine the degree of the third angle.
kira's penny bank is 1/6 full. after she adds 200 pennies, it is 1/2 full. how many pennies can kiras bank hold?
Let it be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]
[tex]\\ \sf\longmapsto 2x=1200[/tex]
[tex]\\ \sf\longmapsto x=600[/tex]
HELPPP ASAP
A:60
B:75
C:10
D:30
Answer:
look at the photo...............what am i suppost to do with the remainder when dividing fractions
11111111111111+646463476346546
Answer:
6.5757459e+14
Step-by-step explanation:
is your answer
Answer:
6.5757459e+14
Step-by-step explanation:
6.5757459e+14
Round your answer to the nearest tenth
Answer:
19.0
Step-by-step explanation:
19.0 is the correct answer.
Hello, hope you are having a nice day.
e=2.718281828...
e^7 means e times e times e times e times e times e times e.
The approximate answer is
1096.6
I hope it helps. Please mark brainliest!
~An emotional teen who helps others with joy
Good luck.
500 dollars divided by 3:7
Answer:
150:350
Step-by-step explanation:
3:7 = 3+7=10
500:10=50
3x50=150
7x50=350
150:350
Hope this helps :)
500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.
Simplify, write your answer as a power
Answer:
1. 5⁴
2. d¹⁰
3. w⁶
SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )
Answer:
6x^8 y^5
Step-by-step explanation:
Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!
Answer: 6 years
Step-by-step explanation:
Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.
Answer:
B is twice as far away from point A as it is from point 0
I hope this helps.
The picture shows the $4.88 Josephine spent on a package of 4 pens.
Drag the money below to the box to show how much each pen cost.
Answer:
4 dollars 8 dimes 8 pennies
Step-by-step explanation:
Answer:
Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.
look at screenshot answer question and i will mark you brainliest
Answer:
[tex]y= -3x+9[/tex]
Step-by-step explanation:
We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is
[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.
At this point, it's just a matter of writing the equation in the wanted form:
[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]
Which is the equation you want.
If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]
12x+3=6 4x+1=2
what is happening in this step of the equation solving process?
Step-by-step explanation:
12x=6-3
12x=3
12x/12=3/12
x=1/4
4x+1=2
4x=2-1
4x=1
4x/4=14
x=1/4
I you have great day
does anyone like math in this world?
Answer:
i mean math is my second favorite subject
Step-by-step explanation:
SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min