Answer:
x=2
Step-by-step explanation:
4^2x-4=4^0
2x-4=0
2x=4
x=4/2
x=2
If the starting equation is
4²ˣ - 4 = 1
first move the 4 on the left to the right side:
4²ˣ = 5
Take the base-4 logarithm of both sides:
log₄(4²ˣ ) = log₄(5)
Drop the exponent on the left, using the property [tex]\log_b(a^n)=n\log_b(a)[/tex]:
2x log₄(4) = log₄(5)
Now [tex]\log_b(b)=1[/tex] for any b, so
2x = log₄(5)
Solve for x by dividing both sides by 2:
x = 1/2 log₄(5)
You can also express this as
x = log₄(√5)
to make the solution slightly more compact.
You can also use the change-of-base identity to rewrite the solution as
x = log(5) / (2 log(4))
where the base of the logarithm is arbitrarily chosen. Then
x = log(5) / log(4²)
x = log(5) / log(16)
x = log₁₆(5)
need the answer asap!!!
Answer:
13b-12a+5 (so the last one)
Step-by-step explanation:
b-6a+12b-6a+5
13b-12a+5
Calculate the slope between (-3,1) and (6,13)
Answer:
4 / 3
Step-by-step explanation:
slope formula: (y2 - y1) / (x2 - x1)
(13 - 1) / (6 + 3)
12 / 9
4 / 3
find the value of x in each of the given triangles.
Step-by-step explanation:
Hence it is a triangle So sum of all the angels of triangle is equal to 180°
Then
5x + 6x + x = 180°
12x = 180°
x = 180° / 12
x = 15°
5x = 5*15°= 75°
6x = 6* 15° = 90°
x = 15°
Hope it helps :)
HELP PLEASE I LOVE UZI
Answer:
ciao anyways
Step-by-step explanation:
on a map highmount is 5 inches from pine hill if the map scale is 1 inch = 3 miles what is the actual distance between the towns
Which expression is equivalent to (81x4y16) for all positive values of x and y?
Answer:
4x-3y is equivilent
Step-by-step explanation:
Can anyone help me with this please .
Don’t answer if you do not know :( .
the answer is a because you have to find the slope.
Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the power of 10 close parentheses cubed 2 to the power of short dash 10 end exponent over denominator 2 to the power of short dash 7 end exponent end fraction
Answer:
2^27
Step-by-step explanation:
Given the following expression:
[(2^10)^3 x (2^-10)] ÷ 2^-7
This can be easily simplified. Let us simplify the numerator first. To do that, we have
(2^10)^3 making use of the power rule of indices that says:
(A^a)^b = A^ab where a and b are powers, we have:
2^(10x3) = 2^30
Therefore the numerator becomes:
2^30 x 2^-10. Also making use of the multiplication rule that says:
A^a x A^b = A^(a + b), we have
2^30 x 2^-10 = 2^(30 – 10) = 2^20.
Now we have:
(2^20) ÷ (2^-7)
To simplify this, we need the division rule of indices which says:
A^a ÷ A^b = A^(a – b)
Therefore we have:
(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27
Following are the solution to the given expression:
Given:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
To find:
value=?
Solution:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
Using formula:
[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]
Solve the equation:
[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]
Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".
Learn more:
brainly.com/question/1294040
Oliver bought 7 bags of candy. Each bag costs $1.50. How much money did he have to pay?
The answer is 10.5
1.50 x 7 = 10.5
Answer: The answer is 10.5
Step-by-step explanation: meh
Please help with this! I will mark brainliest!
In the trapezoid , PQ || MN. Taking PN as transversal , we can say that QPN and MNP are supplementary angles.
[tex] = > 3x + 5 + 8x - 12 = 180[/tex]
[tex] = > 11x - 7 = 180[/tex]
[tex] = > 11x = 180 + 7 = 187[/tex]
[tex] = > x = \frac{187}{11} = 17[/tex]
Brandon has 42 toy cars. He puts them into rows of 8 cars and
then puts the remaining cars into a box.
Answer: 5
Step-by-step explanation:
If you use long division you will get 5.
A store increases the price of a sweater from $20 to $22.
What is the percent of increase?
1. 0.1
2. 0.1
3. 2
4. 9
5. 10
6. 20
The percent of increase is 10% or 5. If you multiply 20 x 0.1, you get 2. Then, you add 20 and 2 together to result with $22. Therefore, the answer is 10% or a 10% increase.
How did the Buddha achieve enlightenment? *
He fasted
He meditated
He suffered
He studied with gurus
Answer:
B) he meditated
Step-by-step explanation:
according to BBC
One day, seated beneath the Bodhi tree (the tree of awakening) Siddhartha became deeply absorbed in meditation, and reflected on his experience of life, determined to penetrate its truth.
He finally achieved Enlightenment and became the Buddha. The Mahabodhi Temple at the site of Buddha's enlightenment, is now a pilgrimage
Drag the labels to the correct locations on the table. The labels can be used more than once, but not all labels will be used.
Identify whether each exponential expression models growth or decay and what the rate is.
Answer:
growth. 25%
decay. 25%
growth. 100%
growth. 1%
decay. 1%
Step-by-step explanation:
Hey, I'm using edmuentum too, just so you know, you only have to do the tutorials unless you get the Mastery test wrong. I normally just skip through them and just get the questions wrong since the teachers can't see your answers on the tutorials. :) Anyways the answer is:
The first is growth by 25%
The second is decay by 25%
The third is growth by 100%
The fourth is growth by 1%
The last is decay by 1%
A bear cub weighed 10 pounds. Each month it gains 5 pounds. Which equation correctly shows this linear relationship.
A.Y=5x +10
B.Y=10x +5
C.Y=5x-10
D.Y=10x-5
Answer:
A. Y = 5x + 10
Step-by-step explanation:
The bear gains 5 pounds a month. The X represents the months in which five pounds gradually build. This is represented by 5x. We need to add the bears original 10 pounds so Y = 5x + 10.
Answer:
a is the answer I did dat before
solve for the value of n
Answer: N=6
Step-by-step explanation:
Add 34 degrees with the 90 degree angle and you get 124
Then add 124 to your other equation (9n +2)
Make that equation equal to your straight angle 180 and solve.
9n + 126 = 180
9n = 54
n= 6
Factor 9w+ 72 using the GCF
Answer: 9 (w + 8)
Step-by-step explanation:
9/9 = 1
72/9 = 8
9 (w + 8)
(3.)FACTOR: 55d + 10?
5/8 + 3/4
_______
-2/3 - 5/6
Answer:
-11/12
Step-by-step explanation:
Last one
What’s the measurement of 2? please help
What is the line of a fraction called between the numerator and denominator
Answer:
A Vinculum or a fraction bar :)
Answer:
The line that separates the numerator and thevdenominator in a fraction. Also called A Vinculum in some countries
What is the length of ABC?
Please help!.!.!
I’ll give Brainliest to whoever answers first!
All of them are the same length because if you see the picture the red dot is in the middle of the circle so that's how there all the same length.
Step-by-step explanation:
Circumference of the circle
= 2πr = (2)(π)(12 in) = 24π in.
Length of arc ABC
= 24π in * (210°/360°)
= 14π in
= 43.98 in.
what is the sum of the measures of the interior angles of a 12-gon?
Answer:
Sum of interior angles = 10 x 180° = 1800°
Step-by-step explanation:
Hope this helped! :)
Answer:
1800
Step-by-step explanation:
(12-2)x180
Will give branlist Which situation could be represented by the graph?
Explain why the area of a rectangle increases by a factor of 4 when the side length is doubled
The explanation behind the area of a rectangle increases by a factor of 4 when the side length is doubled is due to the fact that;
The length and width are double which translates to a product of 4 which means the area will increase by a factor of 4.
We know that area of a rectangle is;
A = length x width
Now, let us say we have a sample rectangle with length of 7 cm and width of 3 cm.
This means area is; A = 7 x 3 = 21 cm²
Now, if we double the side lengths, it means our length is now 7 x 2 = 14 cm² and width now 3 x 2 = 6
Our new area is now 14 x 6 = 84 cm²
If we look at the initial area we will see that it has been increased by a factor of 4 to obtain 84.
The reason behind this is due to the fact the length and width are double which translates to a product of 4 which means the area will increase by a factor of 4.Read more at; https://brainly.in/question/7159811
Mr. Hammond's art class consists of 5 sophomores, 4 juniors, and 9 seniors. They randomly select one student from each class session to select the music played during the class. The grade of the student that was picked for the first 8 class sessions is shown in the table.
Which statement is true about the theoretical and empirical probability of selecting a sophomore?
Answer:
The theoretical probability is greater than the empirical probability.
Step-by-step explanation:
tina, stacey, and amir were all born in july 4th. stacy is one year younger than tina. amir is 2 years older than tina. the product of all three of their ages is 2340.
Answer:
2339
Step-by-step explanation:
Find the answer to 4.2 X 1.6, Explain the process you used to get your answer.
What’s the proportion
Answer:
10/k=8/4
10*4=8k
K=40/8
K=5
Hey there!
“10 / k = 8 / 4”
FIRST: CROSS MULTIPLY
10(8) = 4(k)
10(8) = 80
4(k) = 4k
NEW EQUATION: 80 = 4k
SECOND: FLIP/TURN the EQUATION
4k = 80
THIRD: DIVIDE both SIDES by 4
4k / 4 = 80 / 4
CANCEL: 4 / 4 because that gives you 1
KEEP: 80 / 4 because that gives you the value of k
NEW EQUATION: 80 / 4 = v ; v = 80 / 4
FOURTH: SOLVE above and you have the k-value
Answer:
k = 5☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Find the b value. (1.3). y = 2x + b
Your answer
Answer:
b=1
Step-by-step explanation:
