Determine the equation of the line in slope-intercept form in the graph shown

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

 (0 + m)/2, (0 + n)/2.

Step-by-step explanation:

The  x coordinate of the  midpoint must be halfway  between the x coordinates of  A and B, and the y coordinate must be  found in the same way.

So the midpoint is  (0 + m)/2, (0 + n)/2.

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

4x-6

Step-by-step explanation:

Less than means it comes after so we need to do the product of 4 and the number x

4x

Now subtract 6

4x-6

Answer:

4x - 6

Step-by-step explanation:

Six less than the product of four and a number x.

The equation is 4x - 6.

Answer:

The answer is C

Step-by-step explanation:

The x-coordinate is -4 and the y is 1 so it matches.

The three inequalities for the sum of whole numbers are: x ≥ 0, y ≥ 0, x + y > 20.

The sum of two whole numbers is greater than 20.

The three inequalities for the statement above are given by x+y > 20 where x and y are whole numbers.

Whole numbers are positive integers that do not have any fractional or decimal parts.

In other words, whole numbers are numbers like 0, 1, 2, 3, 4, and so on, which are not fractions or decimals.

The inequalities for the above statement are: x ≥ 0, y ≥ 0, and x + y > 20.

Therefore, the correct option is:x ≥ 0, y ≥ 0, x + y > 20.

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The expression of integral as the limit of Riemann sums is `lim_(n->∞) Σ_(i=1)^n sqrt(8+(4+iΔx)^2) Δx`.

Given integral is `int 4 between 6 sqrt(8+x^2)*dx`. To express the integral as a limit of Riemann sums, follow these steps:

Divide the interval [4,6] into n equal subintervals of width

Δx = (6 - 4)/n

= 2/n`.

Choose the right endpoint of each subinterval as your sample point, which is

x_i = 4 + iΔx`,

where `i = 1,2, ..., n`.

Therefore, `x_1 = 4 + Δx,

x_2 = 4 + 2

Δx, ..., x_n

= 4 + nΔx`.

Now, calculate the Riemann sum `R` of the integral.

Hence, `R = f(x_1)Δx + f(x_2)Δx + ... + f(x_n)Δx`.

The above expression for R can be written as

R = Σ_(i=1)^n f(x_i)Δx`.

The integral can be expressed as a limit of Riemann sums as follows:

int 4 between 6 sqrt(8+x^2)*dx = lim_(n->∞) Σ_(i=1)^n f(x_i)Δx

Hence, the expression of integral as the limit of Riemann sums is `lim_(n->∞) Σ_(i=1)^n sqrt(8+(4+iΔx)^2) Δx`.

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Answer:

Step-by-it 14 hopes this help lol

Step-by-step explanation:

sorry to break it to you but there is no question

As a result, 47 degrees of freedom represent the essential t value ().

Least. To contrast one thing to another, degrees of comparison are employed. One thing or person is described in the positive degree. When comparing two things or people, utilize the comparative degree. Moreover, the exceptional degree is employed to describe groups, individuals, or more than two objects.

The following formula must be used to get the freedom degrees for the crucial t value ():

df = n - 1

where the sample size is "μ". The sample size in this instance is 48, so:

df = 48 - 1

df = 47

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Answer:

its the fourth graph (i took the test)

Answer:

I um need the question to answer.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a fraction is equal to 0 when the numerator is 0

x - 4 = 0

x = 4

The correct answer is x=4.

Step-by-step explanation:

When the numerator is 0, a fraction is equal to 0.

x - 4 = 0

x = 4

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Answer:

Airplane

Step-by-step explanation:

Answer:

Airplane

Step-by-step explanation:

Volume is the amount of mass an object has. Using common sense you can easily identify an airplane as the largest,

Answer:

1: it is called a building cause it can still be improve or built on.

2: its an integer in a decimal formation.

3: cause each unit is apart from the other units even though it is 1 big building.

Step-by-step explanation:

There are 48,836,502,496 ways to select 9 countries to serve on the council given the specified conditions.To select 9 countries for the council from the given blocks, you'll need to use combinations. Combinations determine the number of ways to choose a certain number of items from a larger set without considering the order.

First, select 3 countries from the block of 53 countries. This can be done in C(53, 3) ways, where C(n, k) represents the number of combinations of n items taken k at a time.

C(53, 3) = 53! / (3! * (53 - 3)!) = 23,426

Next, choose 2 countries from the block of 64 countries.

C(64, 2) = 64! / (2! * (64 - 2)!) = 2,016

Lastly, select 4 countries from the remaining 72 countries.

C(72, 4) = 72! / (4! * (72 - 4)!) = 1,028,790

Now, multiply the number of combinations from each block together to find the total number of ways to select 9 countries for the council:

Total combinations = C(53, 3) * C(64, 2) * C(72, 4) = 23,426 * 2,016 * 1,028,790 = 48,836,502,496

So, there are 48,836,502,496 ways to select 9 countries to serve on the council given the specified conditions.

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Step-by-step explanation:

normal line equation

y = ax + b

the 2 given points give us 2 equations with 2 variables a, b.

we solve that for the general line equation.

-5 = a×-4 + b

-2 = a×-3 + b

subtract equation 2 from equation 1

-3 = a×-1 + 0

-3 = -a

a = 3

-2 = 3×-3 + b = -9 + b

b = 7

so, the line equation is

y = 3x + 7

Answer:

0.2 kg per meter

Step-by-step explanation:

5÷25=0.2

The required equation for a line passing through point A and perpendicular to BC is 2y + 5x = 31

First, we need to get the slope of the line perpendicular to BC

Get the slope BC:

\(m_{BC} = \frac{3-5}{2-7}\\m_{BC}=\frac{-2}{-5}\\m_{BC}=\frac{2}{5}\\\)

The slope of the line perpendicular to BC will be -5/2

The slope of the required line in point-slope form is expressed as;

\(y-y_0=m(x-x_0)\\\)

Given the following

m = -5/2

(x0, y0) = (3, 8)

Substitute into the formula:

\(y-8=-5/2(x-3)\\2(y-8)=-5(x-3)\\2y - 16=-5x+15\\2y+5x=15+16\\2y+5x=31\\\)

Hence the required equation for a line passing through point A and perpendicular to BC is 2y + 5x = 31

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Therefore, there will be a total of 15 handshakes when 6 people shake hands once by using combination.

To calculate the number of handshakes, we can use the formula for combinations. In this case, we have 6 people, and we need to choose 2 people at a time to form a handshake. So, the formula for combinations is:

nCr = n! / [(n-r)! * r!]

where n is the total number of people and r is the number of people involved in each handshake.

Using this formula, we can calculate the number of handshakes:

6C2 = 6! / [(6-2)! * 2!] = (6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (2 * 1)] = 720 / (24 * 2) = 720 / 48 = 15

Therefore, there will be a total of 15 handshakes when 6 people shake hands once. Each person will shake hands with the other 5 people in the room, resulting in a total of 15 unique handshakes.

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Answer:

It is the highest degree among all the terms.

For example, in the polynomial, \(5x^{5} +9y^7+32xy+58\), the degree is the highest degree among the four terms which is 7 (in \(9y^7\\\)).

Hope this helps :)

Connie makes handmade quilts for her grandchildren each quilt is 4ft by 6ft what is the approximate length of the diagonal of the quilt ​

Applying the Pythagorean Theorem

Let

x -----> the diagonal of the quilt

x^2=4^2+6^2

x^2=16+36

x^2=52

x=7.21 ft

therefore

the approximate length of the diagonal is 7 ft

Answer: -10 I think

Step-by-step explanation:

Answer: 39

Step-by-step explanation:

    First, we will list some multiples of 3.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, \(\boxed{39}\), 42, 45, 48, 51, 54, etc.

    Next, we will list some multiples of 13.

13, 26, \(\boxed{39}\), 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, etc.

    We see that the least common multiple of 3 and 13 is 39. This is the smallest value that shows up in both lists.

    What is a multiple?

A multiple is a number that can be divided with that number without a reminder.

To cut a 14-inch pizza into three equal area pieces using two parallel cuts placed symmetrically from the center, each piece will have an area of 150.

As we need to cut a 14-inch pizza into three pieces of equal area using two parallel cuts, we have to follow the steps given below

:Step 1: Cut the pizza with a line that goes through the center of the pizza and marks its diameter. This cut separates the pizza into two equal halves.

Step 2: The second cut needs to be made parallel to the first cut and needs to be at a distance of approximately 1/3 the diameter of the pizza from the first cut.

Step 3: Then, the pizza will be separated into three equal area pieces as required. As we have to cut the pizza into three equal area pieces, the area of each piece will be 150 square inches.

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I think the answer is 5 21 smaller.

I Hope this is the right answer to you! ^_^

Answer:

i think its b

Step-by-step explanation:

The maximum interest rate that can be charged during the fifth year is 6.75%. The correct option is the third option c. 6.75%

From the question, we are to determine the maximum interest rate that can be charged during the fifth year

A 2/1 ARM means that the interest rate is fixed for the first two years and then adjusts annually based on a specified index plus a margin. The "2/10 cap" means that the interest rate can only increase or decrease by a maximum of 2 percentage points each year, and can never be more than 10 percentage points higher than the initial rate.

Since the initial rate is 2.75%, the maximum rate that can be charged during the fifth year is:

2.75% + (2 x 2%) = 6.75%

Hence, the maximum interest rate that can be charged during the fifth year is 6.75%.

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Answer:

Step-by-step explanation:

\(\sqrt{(x + 2)(x - 3)} = 0 \\\\ (x + 2)(x - 3) = 0 \\\\\ x^2 - 3x + 2x - 6 = 0 \\\\ x^2 - x - 6 = 0 \\\\ \Delta = (- 1)^2 - 4.1.(- 6) \\\\ \Delta = 1 + 24 \\\\ \Delta = 25 \\\\ x_1 = \frac{1 + \sqrt{25}}{2} = \frac{ 1 + 5}{2} \\\\\ x_1 = 3 \\\\\\ x_2 = \frac{1 - \sqrt{25}}{2} \\\\\\ x_2 = \frac{1 - 5}{2} \\\\\ x_2 = - 2\)

S = {x E R/x = 3 and x = - 2}

I hope I've helped you