find the value 0f n for which 2n=1\64

Answer: 8 (I might have gotten it wrong tho) could be -8 too btw.

Step-by-step explanation:

42x9=378 and 9x4=36. 9x30=270 so that would make the equation 378-36=270-9(_). Simplified a bit more would be 342=270-9(_). Now subtract 270 from both sides you get 72=9(_) so it would be 8. Sorry if I’m wrong tho.

Answer:

9(42) - 9(4) = 9(30) - 9(-8)

Step-by-step explanation:

9(42 - 4) = 9(38)

9[30 - (-8)] = 9(38) because of rules of subtracting integers is:

Two like signs become a positive sign

Example:

3+(+2) = 3 + 2 = 5

6−(−3) = 6 + 3 = 9

Two unlike signs become a negative sign

Example:

7+(−2) = 7 − 2 = 5

8−(+2) = 8 − 2 = 6

Answer:

1526.04 cubic inches

Step-by-step explanation:

V=π r 2  h

             3

 = pi x r(r) x (height/3)

 = 3.14 x 9(9) x (18/3)

 = 3.14 x 81 x 6 = 1526.04 cubic inches

In some base \(B\), we have

\(abab_B \equiv 555_{10}\)

so that

\(aB^3 + bB^2 + aB + b = 555\)

Factorize the left side.

\(aB (B^2 + 1) + b (B^2 + 1) = 555\)

\((aB + b) (B^2 + 1) = 555\)

Now, \(B\) is a positive integer greater than 1, and \(a,b\) are positive integers taken from \(\{0,1,2,\ldots,B-1\}\). So consider the prime factorization of 555 on the right side.

\((aB + b) (B^2 + 1) = 3\times5\times37\)

which we can write as

\((aB + b) (B^2 + 1) = 15\times(6^2 + 1) = (2\times6 + 3) \times (6^2+1)\)

and so the base is 6, and the number in question is 2323₆.

Answer:

Slope: -3/4

Step-by-step explanation:

Use the formula:

Substitute the points (-4, 3) and (0,0) into the equation:

Solve.

\(\frac{-3}{4}\)

Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

\(\frac{30}{70}\) × 100 = 42.86%

\(\frac{12}{30}\) × 100 = 40%

\(\frac{9}{21}\) × 100 = 42.86%

\(\frac{6}{14}\) x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

9/21

To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

Answer:

The awnser is 400 meter run

Step-by-step explanation:

i took the quiz

The mean absolute deviation shows that the event were her times the most spread out is C. 400 meter hurdles.

It should be noted that the mean absolute deviation means the average distance that's between each data point and the mean.

In this case, the mean absolute deviation shows that the event were her times the most spread out is 400 meter hurdles. This was illustrated as it has has the highest mean absolute deviation when compared to others.

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The value of Zin at resonance is R, and the value of the resonant frequency wr is 1/√(LC).

Given the expression of impedance Zin, find its value at the resonant frequency. The resonant frequency wr will also be calculated. A capacitor and an inductor are used in a circuit to create a resonance.

The current is at its maximum value, whereas the impedance is at its minimum value.The resonant frequency is the frequency at which the impedance is purely resistive. At the resonant frequency, the imaginary part of the impedance is zero, and only the real part is present.

Impedance is represented by the symbol Zin. It is a combination of resistance, inductive reactance, and capacitive reactance.

The expression for impedance is given as:$$Z_{in}=R+jX_{L}+jX_{C}$$ At resonance, the imaginary part is zero. $$X_{L}=X_{C}$$

Therefore, Zin will only have real resistance at the resonant frequency.$$Z_{in}=R+j(X_{L}-X_{C})$$$$Z_{in}=R$$

Thus, Zin will have only the resistance at resonance. Now, the value of the resonant frequency will be calculated.

At resonance, the capacitive reactance and inductive reactance become equal.$$X_{L}=X_{C}$$$$\frac{L}{R^{2}}=\frac{1}{CR^{2}}$$$$w_{r}=\frac{1}{\sqrt{LC}}$$

Therefore, the value of Zin at resonance is R, and the value of the resonant frequency wr is 1/√(LC).

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The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.

In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:

3.3 = log(I/0.001)

To isolate I, we need to convert the equation into exponential form:

10^(3.3) = I/0.001

Simplifying the equation, we have:

I = 10^(3.3) * 0.001

Using a calculator, we find that 10^(3.3) is approximately 1995.26.

So, the seismograph reading of the earthquake is:

I = 1995.26 * 0.001

≈ 1.99526.

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Answer:

B

Step-by-step explanation:

You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.

The layers are 8 cm high, so that's the third number you multiply together.

Volume = 8*8*8 = 64

But the answer you want is 8*8 which is 64

The number of simulation trials that would be likely to produce results that are  closest to the actual probability is 25. The correct option is C).

The following steps can be used  in order to determine the number of simulations:

Step 1 - Remember the maximum number of trials gives the maximum chance to produce results that are  closest to the actual probability.

Step 2 - Now, check all the options given in the question and choose the largest one.

From the above steps, it can be concluded that the correct option is C) 25.

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Full question :

Which number of simulation trials would be likely to produce results that are closest to those predicted by probability theory?.

A. 10

B. 15

C. 25

D. 20

A population's doubling time is the amount of time it takes for it to double in size or value. I

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Scale ratios are used to determine the dimensions of proportional shapes

The base area of the replica is 6250 m²

The area ratio is given as:

Ratio = 1 : 10

The ratio of the original to the replica is represented as:

Ratio = Original : Replica

So, we have:

Ratio = 625 m² : Replica

By comparison, we have:

625 m² : Replica = 1 : 10

Multiply by 625 m²

625 m² : Replica = 625 m² : 6250 m²

By comparison, we have:

Replica = 6250 m²

Hence, the base area of the replica is 6250 m²

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Answer:

HP = 2

HJ = 2.5

HJ = 2.5

GK = √29

Step-by-step explanation:

I assume that HK and GJ are perpendicular, so triangles GPH, GPK, JPH, and JPK are right triangles.

Use the Pythagorean theorem.

a² + b² = c²

(GP)² + (HP)² = (GH)²

5² + (HP)² = (√29)²

25 + (HP)² = 29

(HP)² = 4

HP = 2

(HP)² + (PJ)² = (HJ)²

2² + (1.5)² = (HJ)²

4 + 2.25 = (HJ)²

(HJ)² = 6.25

HJ = 2.5

If GHJK is a kite, then KJ = HJ and GK = GH.

HJ = 2.5

GK = √29

Answer:

50% change.

explanation:

change: $49.99 - $24.99 = $25

\(\sf percent \ change: \dfrac{\$25}{\$49.99} *100 \ \ = 50 \%\)

Answer:

23.4

Step-by-step explanation:

We can use 1/2absinC for this one

Just substitute the values!

1/2(5.6)(9)sin68

Once you solve that you'll end up with 23.4

It's not hard, really, the real hard thing is figuring out which rule to use because there are so many.

The point(s)  which the given function equals its average value on the given interval. f(x)= 1 - x²/a²; [0, a] where a is a positive real number are x = a/3 and x = -a/3.

To find the points at which the function equals its average value on the given interval, we need to first find the average value of the function on the interval [0, a].

The average value of the function f(x) on [0, a] is given by:

Avg = (1/a) ∫[0,a] f(x) dx

Substituting f(x) into the above equation, we get:

Avg = (1/a) ∫[0,a] (1 - x²/a²) dx

Simplifying the integral, we get:

Avg = (1/a) [x - (x³/(3a²))] [0,a]

Avg = (1/a) [(a - (a³/(3a²))) - (0 - 0)]

Avg = (1/a) [(2/3) a]

Avg = 2/3

Therefore, the average value of the function on [0, a] is 2/3.

Now, we need to find the points at which the function equals 2/3. That is, we need to solve the equation:

1 - x²/a² = 2/3

Multiplying both sides by a², we get:

a² - 3x² = 2a²/3

Rearranging the terms, we get:

3x² = a² - 2a²/3

3x² = a²/3

x² = a²/9

Taking the square root of both sides, we get:

x = ± (a/3)

Therefore, the points at which the function equals its average value on [0, a] are x = a/3 and x = -a/3.

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Step-by-step explanation:

\( \dashrightarrow \quad \rm {a = \dfrac{v -u}{t} } \\ \)

\( \dashrightarrow \quad \rm {a = \dfrac{9 -7}{2} \; m \: s^{-2}} \\ \)

\( \dashrightarrow \quad \rm {a = \dfrac{2}{2} \; m \: s^{-2}} \\ \)

\( \dashrightarrow \quad \underline{\boxed{\bf {a = 1 \; m \: s^{-2}}}} \\ \) (Answer)

Step-by-step explanation:

To determine what the height of the ladder reaches up the wall we need to know the height of ladder which is not provided in the question.

So if I assume the height of ladder to be 10ft( just a general assumption)

Then, inclined ladder, wall and distance been the bottom of the ladder and wall will form a right angle triangle.

where height of ladder will be hypotenuse, height of the ladder reaches up the wall will be perpendicular and distance been the bottom of the ladder and wall will be base.

Since, A ladder is inclined at 23 degrees against the wall

⇒ height of the ladder reaches up the wall  = Height of ladder×sin23°

= 10ft × sin23° = 3.9073 ft

7. The length of the line segment QR in ΔQTR is 16 units.

8. Option C. has a line segment DE that is parallel to AC.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

7. We know, In similar triangles the ratio of corresponding sides is equal.

Therefore, (7x - 9)/(2x + 2) = 35/14.

14(7x - 9) = 35(2x + 2).

98x - 126 = 70x + 70.

28x = 196.

x = 7.

So, The length of the side QR is 2(7) + 2 = 16 units.

8. We know when a line segment is parallel to one side of a triangle it divided the other two sides to their respective ratios.

From the given options, Triangle C, Has DE parallel to AC as,

(40/(40 - 16) = 37.5/15 = 2.5.

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After the hurricane and the disease, 48% of the original population of rats is left.

We have,

After the hurricane, 40% of the rats were wiped out, which means

100% - 40% = 60% of the rats survived.

Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.

This means 100% - 20% = 80% of the rats that survived the hurricane are still left.

To find the percentage of the original population of rats that is left after both events, we multiply the percentages:

Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48

Finally, we convert the decimal value back to a percentage:

Percentage left = 0.48 * 100% = 48%

Therefore,

After the hurricane and the disease, 48% of the original population of rats is left.

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To find the length of the curve defined by y =\(2x^(3/2)\) - 9, from x = 1 to x = 9, we use the arc length formula and integrate the square root of the sum of squares of the derivative of y with respect to x.

By evaluating this integral, we can determine the length of the curve.

To find the length of the curve defined by the equation y =\(2x^(3/2)\) - 9, from x = 1 to x = 9, we can use the arc length formula for a curve given by y = f(x) over the interval [a, b]:

L = ∫[a,b] √(1 + (f'\((x))^2\)) dx

First, we find the derivative of y with respect to x:

dy/dx = 3√(2x) / 2

Next, we substitute the derivative into the arc length formula and integrate over the interval [1, 9]:

L = ∫[1,9] √(1 + (3√(2x) / \(2)^2\)) dx

Simplifying the integrand, we have:

L = ∫[1,9] √(1 + 9x) dx

By evaluating this integral, we can determine the length of the curve.

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At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Answer:

742 points

Step-by-step explanation:

30 percent of 1060 is 318, 1060-318 is 742

We need to find the derivative which is the rate of change

So, when x is infinite, the function g(x) has the greatest rate of change

Answer:

4.9 in =34.3 ft

1.6 in= 11.2 ft

The area of the rectangle is 384.16 ft?

Step-by-step explanation:

I took the test and got it right :)

Answer:

Step-by-step explanation:

(13g+1) - (-2-5g) = 8/3(3g+9/8)

We'll set them equal for now and then simplify

(13g + 1 - 2 - 5g) = (8g + 3)

8g - 1 = 8g + 3

So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!

Answer:

it's answer is 15x+5y..

Answer:

The answer is

Step-by-step explanation:

5(3x+y)

15x+5y

Answer:

4L + 8H = 512 (First answer)

You can take 92 low resolution pictures (second answer)

Step-by-step explanation:

Let L represent the number of low resolution pictures you take and H the number of high resolution pictures you can take.

You only have 512 megabytes.

Therefore, the number of megabytes the low resolution pictures you take plus the amount of megabytes the high rsolution you take in total should be 512

Therefore your equation is:

4L + 8H = 512 (First answer)

You took 18 high resolution pictures, so substitute 18 for H

4L+8(18) = 512

4L+144=512

subtract 144 on both sides

4L=368

divide by 4

L= 92

You can take 92 low resolution pictures

Hope this helps!

Answer:

56

Step-by-step explanation:

you do 209-153=56

Number of economy seats are 181

An equation between two variables that gives a straight line when plotted on a graph

Consider,

Number of economy seats =x

Number of First class seats =y

There are 209  total seats on the airplane

Then,

x + y=209

Difference between the number of economy and first class seats is 153

x - y=153

Solve both the equation

x + y=209

x = 209-y

Substitute the value of x in second equation

(209-y) - y=153

2y=209-153=56

y=28

Then

x + y=209

x + 28=209

x=209-28

x=181

Hence, the number of economy seats are 181

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