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There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

10/15=2/3

Step-by-step explanation:

Just divide by common multiple! Can I have Brainliest?

The value of f(-0.01) is approximately 0.99005.

To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).

Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.

The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.

By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.

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Answer:

a= *64

b= 97

Step-by-step explanation:

180-64=116

180-83=97

Answer:

in the picture

Step-by-step explanation:

a flat angle is 180°

the opposite angles are congruent

so, the answer is in the picture

For 7 gallons of gas, Ian drove = 217 miles

What is the distance?

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Here, we have

Given: Ian​'s car can go 186 miles on 6 gallons of gas. During a drive last​ weekend, Ian used 7 gallons of gas.

On 6 gallons of gas, Ian's car can go 186 miles.

With 1 gallon of gas, Ian's car can go = 186/6 = 31miles

So, for 7 gallons of gas, Ian's car can go = 31×7 = 217miles

If we were given the distance Ian drove last weekend instead of how much gas he used then we would have to find the amount of gas used by Ian.

Hence, for 7 gallons of gas, Ian drove = 217 miles

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Answer: b=840

Step-by-step explanation:

edge 2022

do good on your tests !!

There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

ⁿPₓ = n! / (n - x)!

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

There is no difference. So, 7 people can be sit in different ways as;

ⁿPₓ = n! / (n - x)!

⁷P₄ = 7! / (7 - 4)!

     = 7! / 3!

     = 840

So, the correct answer is, 840

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Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

He spends more money on food

Step-by-step explanation:

Looking in the tens place, we have a 4 and a 3. 4 is greater than three and the 4 belongs to 49. Overall 49>37 so he spent more money on food.

Answer:

Laplace transform of the original differential equation:

\(\left( s^2\, Y(s) - s\cdot y(0) - y^\prime(0)\right) - 4\, (s\, Y(s) - y(0)) + 5\, Y(s) = 0\).

Given that \(y(0) = 1\) and \(y^\prime(0) = 2\), solve for \(Y(s)\) to obtain:

\(\displaystyle Y(s) = \frac{s - 2}{s^2 - 4\, s + 5} = \frac{s - 2}{(s - 2)^2 + 1}\).

Apply inverse Laplace transform to obtain:

\(y(t) = e^{2 t} \, \sin(t)\).

Step-by-step explanation:

Apply these two rules to replace all \(y(t)\), \(y^\prime(t)\), and \(y^{\prime\prime}(t)\) in the original equation with their Laplace transforms:

\(\underbrace{\left( s^2\, Y(s) - s\cdot y(0) - y^\prime(0)\right)}_{\mathcal{L}\left\lbrace y^{\prime\prime}(t) \right\rbrace} - 4\, \underbrace{(s\, Y(s) - y(0))}_{\mathcal{L}\left\lbrace y^{\prime}(t) \right\rbrace} + 5\, \underbrace{Y(s)}_{\mathcal{L}\left\lbrace y(t) \right\rbrace} = 0\).

Substitute in the values \(y(0) = 1\) and \(y^\prime(0) = 2\).

\({\left( s^2\, Y(s) - s - 2 \right)} - 4\, (s\, Y(s) - 2) + 5\, Y(s) = 0\).

Solve for \(Y(s)\) after rearranging this equation:

\(\displaystyle Y(s) = \frac{s - 2}{s^2 - 4\, s + 5}\).

Note that if denominator is the left-hand side of a quadratic equation, this equation would have no real root. Hence, complete the square in the denominator:

\(\displaystyle Y(s) = \frac{s - 2}{s^2 - 4\, s + 5} = \frac{s - 2}{(s - 2)^2 + 1^2}\).

Look up a table of Laplace transforms. Apply the rule \(\displaystyle \mathcal{L}\left\lbrace e^{\lambda t}\sin(\omega\, t) \right\rbrace = \frac{s - \lambda}{(s - \lambda)^2 + \omega^2}\), where \(\lambda = 2\) and \(\omega = 1\).

\(y(t) = \mathcal{L} \left\lbrace Y(s) \right\rbrace = e^{2 t}\, \sin(t)\).

84:3=28 (km)

............

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

  144

Step-by-step explanation:

For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.

1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s

2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s

Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.

3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s

Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.

__

If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...

  \((x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}\)

For n=1 to n=10, these pairs are ...

  (1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)

The sequence of b[n] values is ...

  2, 3, 5, 8, 13, 21, 34, 55, 89, 144

which are the n=3 to n=12 numbers from the Fibonacci sequence.

That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.

Answer:

$275

Step-by-step explanation:

25600-2500=23100 how much is left to pay

7*12=84 months left till college

23100/84=275 he would have to save per month

we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly

\(1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688\)

Answer:

maria has 9 and felipe has 7

Step-by-step explanation:

if felipe has 7 then 9+7=16

Step-by-step explanation:

The real-world situation that can be represented by 4m+2 is option D, where a music download website has a membership fee of $4 and charges $2 for each download.

Here, "4m" represents the total cost of downloading "m" songs at a cost of $2 per song, and "2" represents the fixed cost of the membership fee. So, the total cost of downloading "m" songs along with the membership fee can be represented by the expression 4m + 2.

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

Answer:

90

Step-by-step explanation:

since mean = sum of terms / number of terms, we can find the total sum of the tests currently to see how much it needs to be raised

76 * 6 = 456

x = score of the new test

(456 + x)/7 = 78

x =90

Answer:

X is missing from the equation

Step-by-step explanation:

The value of x, considering the consecutive interior angles in this problem, is given as follows:

x = 30.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

3x - 8 + 4x - 22 = 180

7x - 30 = 180

7x = 210

x = 210/7

x = 30.

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Answer:

75%

Step-by-step explanation:

On Julie's door, the images will span 210 square inches.

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.

The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.

From the question:

Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.

One image's area is as follows:

5 inches x 7 inches = 35 square inches

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Consequently, 210 square inches of Julie's door will be covered by the images.

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The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

D is the correct answer.

Step-by-step explanation:

You can get every y value by multiplying the x value by 3/2. This value never changes and there are no extra limitations.

Answer:

The age of each person is:

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. \(j=(\frac{m}{2})-12\)

The second equation has the information "The sum of their age is 87":

2. \(j+m=87\)

Now, we replace the first equation in the second one:

And we operate:

We clear the variable m:

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

We replace the value of m:

And clear the variable j:

In the end, Jess's age is 21 years old.

Answer:

  yes, A║B

Step-by-step explanation:

Given that P║Q, alternate exterior angles 2 and 13 are congruent. This means ...

  8x +14 = 10x -10

  24 = 2x . . . . . . . . . . subtract 8x-10

Then the measures of these angles are ...

  5(2x) -10 = 5(24) -10 = 110 . . . . measure of angles 2 and 13

__

Similarly, corresponding angles 4 and 12 are congruent. This means ...

  13y +19 = 15y +5

  14 = 2y

  7 = y

Then the measures of these angles are ...

  15(7) +5 = 110 . . . . measure of angles 4 and 12

Angles 2 and 4 are corresponding. We have demonstrated that they have the same measure, so lines A and B must be parallel.