2 345 000 000 in scientific notation​

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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Answer:

− 9 − 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}\)

Arithmetic Sequences are sequences that are gotten by adding (or subtracting) the same value to each term preceding it.

Geometric sequences are sequences that we get when we multiply (or divide) the same value to each term preceding it.

Arith Metic Sequences have common differences whereas Geometric Sequences have what's called the common ratio.

As for your question, the answer is A

Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

Answer:

hope it helps

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

Step-by-step explanation:

49/30 or 1 19/30

Answer:

1 19/30

Step-by-step explanation:

hi hope this helps you greatly

(10/12×5/5)+(4/5×12/12)=1  19/30

ask me anything about this and

i can help!! :)

Answer:

\((a)\ \bar x_1 - \bar x_2 = 2.0\)

\((b)\ CI =(1.0542,2.9458)\)

\((c)\ CI = (0.8730,2.1270)\)

Step-by-step explanation:

Given

\(n_1 = 60\)     \(n_2 = 35\)      

\(\bar x_1 = 13.6\)    \(\bar x_2 = 11.6\)    

\(\sigma_1 = 2.1\)     \(\sigma_2 = 3\)

Solving (a): Point estimate of difference of mean

This is calculated as: \(\bar x_1 - \bar x_2\)

\(\bar x_1 - \bar x_2 = 13.6 - 11.6\)

\(\bar x_1 - \bar x_2 = 2.0\)

Solving (b): 90% confidence interval

We have:

\(c = 90\%\)

\(c = 0.90\)

Confidence level is: \(1 - \alpha\)

\(1 - \alpha = c\)

\(1 - \alpha = 0.90\)

\(\alpha = 0.10\)

Calculate \(z_{\alpha/2}\)

\(z_{\alpha/2} = z_{0.10/2}\)

\(z_{\alpha/2} = z_{0.05}\)

The z score is:

\(z_{\alpha/2} = z_{0.05} =1.645\)

The endpoints of the confidence level is:

\((\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\)

\(2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}\)

\(2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}\)

\(2.0 \± 1.645 * \sqrt{0.0735+0.2571}\)

\(2.0 \± 1.645 * \sqrt{0.3306}\)

\(2.0 \± 0.9458\)

Split

\((2.0 - 0.9458) \to (2.0 + 0.9458)\)

\((1.0542) \to (2.9458)\)

Hence, the 90% confidence interval is:

\(CI =(1.0542,2.9458)\)

Solving (c): 95% confidence interval

We have:

\(c = 95\%\)

\(c = 0.95\)

Confidence level is: \(1 - \alpha\)

\(1 - \alpha = c\)

\(1 - \alpha = 0.95\)

\(\alpha = 0.05\)

Calculate \(z_{\alpha/2}\)

\(z_{\alpha/2} = z_{0.05/2}\)

\(z_{\alpha/2} = z_{0.025}\)

The z score is:

\(z_{\alpha/2} = z_{0.025} =1.96\)

The endpoints of the confidence level is:

\((\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\)

\(2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}\)

\(2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}\)

\(2.0 \± 1.96 * \sqrt{0.0735+0.2571}\)

\(2.0 \± 1.96* \sqrt{0.3306}\)

\(2.0 \± 1.1270\)

Split

\((2.0 - 1.1270) \to (2.0 + 1.1270)\)

\((0.8730) \to (2.1270)\)

Hence, the 95% confidence interval is:

\(CI = (0.8730,2.1270)\)

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

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Answer:

250.575

Step-by-step explanation:

3.341 * 75 = 250.575

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

Answer:

\(\huge\boxed{\sf Slope = 0}\)

Step-by-step explanation:

\(\sf Slope = \frac{rise}{run} \\\\Slope = \frac{y2-y1}{x2-x1} \\\\Given\ the\ coordinates\ (4,-3) \ and \ (1,-3)\\\\ x1 = 4 ,\ y1 = -3 ,\ x2 = 1 ,\ y 2 = -3\\\\So,\\\\Slope = \frac{-3-(-3)}{1-4} \\\\Slope = \frac{0}{-3} \\\\Slope = 0\\\\\rule[225]{225}{2}\)

Hope this helped!

We know

\(\boxed{\sf Area=Length\times Breadth}\)

\(\\ \sf\longmapsto x(4x)=36\)

\(\\ \sf\longmapsto 4x^2=36\)

\(\\ \sf\longmapsto x^2=\dfrac{36}{4}\)

\(\\ \sf\longmapsto x^2=9\)

\(\\ \sf\longmapsto x=\sqrt{9}\)

\(\\ \sf\longmapsto x=3\)

The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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The number of badges that can be cut from a piece of card, which is 20 centimeters by 30 centimeters, is 21.

A region's size on a plane or curved surface is expressed by a measurement known as an area. Unlike the area of a plane region or plane area, which refers to the area of a shape or planar lamina, surface area describes the area of an open surface or the boundary of a three-dimensional object.

Given:

A sheet of the card is 20 centimeters by 30 centimeters,

The diameter of a badge, d = 60 mm or 6 cm,

Calculate the area of the sheet as shown below,

\(Area = length \times width\)

Area = 20 × 30 = 600 cm²

Calculate the area of the badge as shown below,

\(Area = \pi d^2 / 4\)

Area = 3.14 × 6² / 4

Area = 28.26 cm²

To calculate the number of badges\(No\ of\ badges = Area\ of \ sheet / Area \ of badge\), use the formula given below,

Number of badges = 600 cm² / 28.26 cm²

Number of badges = 21.23 or 21

Therefore, the number of badges that can be cut from a piece of card, which is 20 centimeters by 30 centimeters, is 21.

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Answer:

42

Step-by-step explanation:

To determine which angles are adjacent to ∠DEA:

 ⇒ let's define adjacent angles

    ⇒ Adjacent angles are angles that share a common side, and a

        common endpoint, but do not overlap

Based on the definitions

  ⇒ ↓∠DEC and ∠AEB are adjacent angles to ∠DEA

Answer: ∠DEC or ∠AEB

Hope that helps!

Answer:

  ∠DEC or ∠AEB

Step-by-step explanation:

An adjacent angle is one that shares a side and a vertex, but no interior space.

__

Angle DEA has its vertex at point E, and has sides ED and EA.

Another angle with side ED and vertex E is angle DEC.

Another angle with side EA and vertex E is angle AEB.

Angles adjacent to angle DEA are DEC and AEB.

Micro middle sold the least no of different types of consoles.

Matrices represent data in the form of rows and columns together as an array form.

From matrix A we get the data as follows,

A row represents shops and columns represents types of console.

Games Go sold (53 + 21 + 48) = 122 different types of consoles.

Better Buy sold (65 + 34 + 70) = 169 different types of consoles.

Micro middle sold (18 + 11 + 15) = 34 different types of consoles.

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To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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Considering the definition of probability, the probability that the gumball machine dispenses 2 red gumballs in a row is 7/59.

Probability establishes a relationship between the number of favorable events and the total number of possible events.

The probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

P(A)= number of favorable cases÷ number of posible cases

The conditional probability P(A|B) is the probability that event A occurs, given that another event B also occurs. That is, it is the probability that event A occurs if event B has occurred. It is defined as:

P(A|B) = P(A∩B)÷ P(B)

Expressed another way:

P(A∩B)= P(B)× P(A|B)

In this case, you know a gumball machine has:

Considering the definition of probability, since there are 21 red gumballs in a total of 60 gumballs, the probability of getting a red gumball on the first try is 21/60.

Now, the probability of getting a red gumball on the second try, given that you got a red gumball on the first try and now you have a 59 gumballs an 20 red gumballs on the machine, is 20/59.

So, the probability of getting 2 red gumballs in a row is calculated as:

P(A∩B)= P(B)× P(A|B)

P(A∩B)= 21/60× 20/59

P(A∩B)= 7/59

Finally, the probability that the gumball machine dispenses 2 red gumballs in a row is 7/59.

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Using the concept of change of subject of formula, V = D/R

When changing the subject of formula, we rearrange the formula's components to create the new subject. Remember: Change side, change operation when doing this. In other words, alter the operation to do the reverse if you transfer a term from one side of the equals sign to the other.

In the given problem;

Let's make v the subject of formula in terms of D and R;

Dividing both sides of the equation by R, we have:

D/R = V

Therefore, V can be represented in terms of D and R as V = D/R.

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Answer: 5 times

Step-by-step explanation: The expected value of a random variable is the average value that it would take over many repeated trials. In this case, the random variable is the number of times the spinner lands on A in 20 spins. To calculate the expected value, we need to know the probability of each possible outcome and multiply it by the corresponding value. For example, the probability of landing on A zero times is (3/4)^20, which is about 0.003%, and the value is 0. So we multiply 0.003% by 0 and get 0. Similarly, the probability of landing on A once is 20 x (1/4) x (3/4)^19, which is about 0.016%, and the value is 1. So we multiply 0.016% by 1 and get 0.016%. We do this for all possible outcomes from 0 to 20, and add them up to get the expected value. The formula is:

E(X) = sum of P(X=x) x x for x = 0 to 20

where X is the number of times the spinner lands on A, P(X=x) is the probability of landing on A x times, and x is the possible value.

When we simplify this formula, we get:

E(X) = (1/4) x sum of x for x = 0 to 20

which is equivalent to:

E(X) = (1/4) x (0 + 1 + 2 + … + 20)

Using the formula for the sum of an arithmetic series, we get:

E(X) = (1/4) x (20/2) x (0 + 20)

which simplifies to:

E(X) = (1/4) x 10 x 20

which equals:

E(X) = 5

This means that the expected number of times the spinner lands on A in 20 spins is 5.

Hope this helps, and have a great day! =)

The scale factor of the dilation is,

⇒ 1 / 3

We have to given that,

The triangle D'E'F' is a dilation of the triangle DEF.

Here, By figure we have,

E'F' = |1 - (- 2)|

E'F' = 3

And,

EF = |3 - (- 6)|

EF = 9

Now, We can formulate;

The value of scale factor is,

= E'F' / EF

= 3 / 9

= 1 / 3

Therefore, The scale factor of the dilation is,

⇒ 1 / 3

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Answer:

Answer is zero

Step-by-step explanation:

Any number multiplied to zero is zero

\(.\)

Answer:

0

Step-by-step explanation:

Answer:

so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer

Step-by-step explanation:

Answer:

$2421.95

Step-by-step explanation:

To calculate the final value from compound interest, we can use the formula

A = P(1+r/n)^(nt), where A represents the final amount, P is the initial amount, r is the rate, n is the number of times compounded per time period, and t is the amount of time.

Here, P is 2000, 1.2% is the rate (to convert to a decimal, we can divide by 100 to get 0.012), n = 2 because it is compounded semi-annually, and 16 is the number of years, or t. Plugging these in, we get

2000(1+0.012/2)^(2*16) = 2421.95