how do i write 125 as a repeated multiplication of 5s

Answer:

Slope-intercept: y=3/4x+1

Sorry idk how to do general form

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.

The slope of this graph is 3/4, and the y-intercept is 1.

Answer:

Slope-intercept form: \(y=\frac{3}{4}x+1\)

General form: \(-3/4x+y-1\)

Step-by-step explanation:

Firstly, to get the slope intercept form, we need to find the slope and the y-intercept.  To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is \(\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}\). So, after we plug in those values we get in the two points, we can see that \(\frac{4-1}{4-0}\), so the slope is \(\frac{3}{4}\). The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, \(mx+b\), where m is the slope and b is the y-intercept, m is \(\frac{3}{4}\) and b is 1. So, our final answer for the slope-intercept form is \(y=\frac{3}{4}x+1\). Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, \(y=\frac{3}{4}x+1\), we can subtract y from both sides to get 0 on the left, like this: \(0=\frac{3}{4}x+1-y\). Then, we can rearrange the variables to general form: \(0=\frac{3}{4}x-y+1\\\). That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!

Answer:

401 meters    

Step-by-step explanation:

To change the units without changing the value, we use the Multiplicative Identity (that is, 1).

The formula for the circumference of a circle is:    C=Πd

The problem gives d=85 cm, so C=85Π cm.    So, (1 revolution)=(85Π cm)  

            or 1= (85Π cm) / (1 revolution)

Billy traveled:

    150 revolutions

    (150 revolutions)*1

    (150 revolutions) * ( (85Π cm) / (1 revolution) )      [note: revolutions cancel, leaving only cm]

    (150)*(85Π) cm

    40055.27 cm * ( (1 meter)/(100 cm) )

    401 meters        (rounded to nearest meter)

(this isnt my work credits to David W.

Answer:

(A²-B²)= 4 0

-4 4

|A²-B²|= (4*4)-(-4*0)= 16

By solving the equations 2x+y=4, x-y=11 we get values x=5/3 and y=2/3

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign =. In French, an equation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions coupled with an equals sign.

An equation is composed of two expressions joined by an equals sign (=). The expressions on the two sides of the equals sign are referred to as the equation's left-hand side and right-hand side. The right side of an equation is frequently considered to be zero.

Given,

2x+y=4

x-y=1

By solving above two equations we get,

2x+y=4

x-y=1

3x=5

x=5/3

y=-1+x

y=(5/3)-1

y=2/3

Therefore, by solving the equations 2x+y=4, x-y=11 we get values x=5/3 and y=2/3

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

The sum of the slam dunks made in the junior league is 1,000 slam dunks

Step-by-step explanation:

The known parameters are;

The average number of slam dunks between the sophomore basketball league members, μ₁ = 20

The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30

The number of members of the sophomore league, n₁ = 40

The number of members of the junior league, n₂ = 20

We get;

The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁

∴ S = 20 × 40 = 800

The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃

∴ S₃ = (40 + 20) × 30 = 1,800

The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂

∴ S₂ = 1,800 - 800 = 1,000

∴ The sum of the slam dunks made in the junior league, S₃ = 1,000

The final answer is:
dy/dx = 13.5 / y³To use implicit differentiation to find dy/dx for 54x = y⁴, we first take the derivative of both sides with respect to x.

On the left side, we have the derivative of 54x, which is simply 54.

On the right side, we need to use the chain rule because y is a function of x.

We have:

d/dx (y⁴) = 4y³ (dy/dx)

Putting it all together, we get:

54 = 4y³ (dy/dx)

To solve for dy/dx, we can divide both sides by 4y³:

dy/dx = 54 / (4y³)

Substituting in the given equation, we get:

dy/dx = 54 / (4(y²) * y)

Simplifying, we get:

dy/dx = 13.5 / y³

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c=14+xh is the  equation that represents the relationship between h and c.

An expression is combination of variables, numbers and operators.

Given that ski resort charges $14 for snowshoe rental, plus an additional dollar per hour.

Let h represent the duration of a rental in hours and c represent the total cost of the rental.

We have to find the  relationship between h and c.

c=14+xh

Here x represents the dollar.

Hence, c=14+xh is the  equation that represents the relationship between h and c.

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Answer:

Step-by-step explanation:

<2 + <1 + 20 = 180                 A straight line has 180 degrees.

<2 is given as 90 degrees.

90 + <1 + 20 = 180                Combine like terms

<1 + 110 = 180                        Subtract 110 from both sides

<1 = 180 - 110

<1 = 70

<1 + <2 + <3 = 180

<1 = 70

<2 = 90

70 + 90 + <3  = 180

160 + <3 = 180                    Subtract 160 from both sides

<3 = 180 -  160

<3 = 20

20 + 20 + <4 = 180            Straight line theorem stated above.

40 + <4 = 180                     Subtract 40 from both sides

<4 = 180 - 40

<4 = 140

The midpoint of a line segment is the point that is halfway between the two endpoints. To find the midpoint, we can use the following formula:

(x1 + x2)/2, (y1 + y2)/2

Where:

- x1 and y1 are the coordinates of point A

- x2 and y2 are the coordinates of point B

In this case, we have:

(-8.5 + 6.5)/2, (4 - 7)/2

(-2, -1.5)

Therefore, the midpoint of the line segment AB is (-2, -1.5).

In the given figure:

step 1 has 2 blocks

step 2 has 6 blocks

step 3 has 12 blocks

1)

2) n( n + 1 )

n( n + 1 ) is valid

3)

Since the expression can also write as:

Thus, n^2 +n is also valid

4)

n + n + 1 is not valid

Answer :

b) n( n + 1 )

c) n^2 + n

Answer:

5x-1 is the correct answer

Step-by-step explanation:

Answer:

5x-1

Step-by-step explanation:

Answer:

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. her heart rate is dependent on the number of steps she takes, therefore, a number of steps taken causes her rate to change.

What is the Correlation Coefficient?

A correlation coefficient shows how correlated two variables are.

The correlation coefficient ranges from -1 to 1.

The closer the correlation coefficient is to -1 or 1, the stronger the correlation between the two variables.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. her heart rate is dependent on the number of steps she takes, therefore, the number of steps taken causes her rate to change.

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Step-by-step explanation:

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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Total number of students = 375
Boys = 195
So, girls = 375 - 195 = 180

⅗ of the boys walk to school
= ⅗ × number of boys
= ⅗ × 195
= 117 boys

⅔ of the girls walk to school
= ⅔ × number of girls
= ⅔ × 180
= 120 girls

Total number of pupils who walk to school
= number of boys who walk to school + number of girls who walk to school
= 117 + 120
= 237 pupils



Hope it helps ⚜

The two triangles are not similar by HL theorem.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

each small square on the graph is 2 units,

from ΔABC BC = 8 - 4 which is 4

                    AB = 0 -- 8 which is 8

by Pythagoras

AC^2 = AB^2 +BC^2

AC^2 = (8)^2 + (4)^2

AC^2 = 64 + 16

AC^2 = 80

AC = \(\sqrt{80}\) which is 4\(\sqrt{5}\)

In ΔDEF,

DE = 2 --8  which is 10

EF = 6 - 2 which is 4

By Pythagoras

DF^2 = DE^2 + EF^2

DF^2 =(10)^2 + (4)^2

DF^2 = 100 + 16

DF^2 = 116

DF = \(\sqrt{116}\)

The hypotenuse AC is not equal to the hypotenuse DF. Therefore the two triangles are not similar by HL theorem.

In conclusion the two triangles are not similar by HL theorem

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Answer:

Step-by-step explanation:

It's an investment that has a nominal interest rate of 2.7% compounded monthly

3. The investment has a nominal rate of 27% compounded 12 times per year

Given that,

Based on the above information, the information is as follows:

The above formula represent that the investment should have the nomibal rate of 27% that compounded 12 times per year.

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It is A because it is only $40.000 so therefore it is A.

Answer:

(-3^3 x 2/3)

(-3^2)

9

answer is 9

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\(\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}\)

Answer:

c

Step-by-step explanation:

\(\text{x}^2 + \frac{1}{4}\text{x} + \frac{1}{64}\)

==============================================

Reason:

The formula you can use is

\((a+b)^2 = a^2+2ab+b^2\)

This is the perfect square trinomial formula.

In this case,

The square of each gets us

Those form the outer terms, aka 1st and 3rd terms.

The 2ab term in the middle would be 2*x*(1/8) = (1/4)x

That leads us to be able to say \(\left(\text{x}+\frac{1}{8}\right)^2 = \text{x}^2 + \frac{1}{4}\text{x} + \frac{1}{64}\)

You can use the FOIL rule or the box method as two ways to verify this answer. Also a graphing calculator can be used.

The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.

Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.

The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.

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The provided program efficiently finds the last number written down by Peter by incrementing the number based on digit manipulation and avoiding individual number testing.

To efficiently find the last number written down by Peter, we can utilize a clever algorithm based on counting and digit manipulation. Here's an efficiently designed program in Python that solves the problem:

def find_last_number(n):

   if n < 1 or n > 10**18:

       return "Invalid input. Please enter a number between 1 and \(10^ {18}\)."

   num = 1  # Starting from 1

   digit = 1  # Current digit

   while num <= n:

       next_digit = digit + 1

       while num % (10 ** next_digit) // (10 ** digit) == 9:

           digit += 1

           next_digit += 1

       num += 10 ** digit

   return num - 1

# Test the program

number = int(input("Enter a number between 1 and \(10^{18\): "))

result = find_last_number(number)

print("The last number written down by Peter is:", result)

This algorithm avoids testing each number individually, significantly improving efficiency by incrementing the number based on the digit manipulation logic.

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The complete question is:

Peter likes numbers. As a meditation exercise, he likes to write down all the numbers starting with 1 whose digits are sorted in ascending order. For example, 11235888 is such a number. After a while, he stops. Write an efficiently designed program which, after entering a number between 1 and 10 * 18, represents the last number checked by Peter, outputs the last number written down by Peter. Examples: Input: 23245 Input: 11235888 Input: 111110 Input: 33245 Output: 22999 Output: 11235888 Output: 99999 Output: 29999 Tip: Going through the numbers one by one and testing them is not efficient enough.

Step-by-step explanation:

\(\text{Use:}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\=============================\)

\(A.\ \dfrac{5^3}{5^6}=5^{3-6}=5^{-3}=\left(\dfrac{1}{5}\right)^3\\\\B.\ (14^3)^6=14^{3\cdot6}=14^{18}\\\\C.\ 8^3\cdot8^6=8^{3+6}=8^9\\\\D.\ \dfrac{16^6}{16^3}=16^{6-3}=16^3\\\\E.\ (21^3)^{-6}=21^{3\cdot(-6)}=21^{-18}=\left(\dfrac{1}{21}\right)^{18}\\\\F.\ 100^0=1\\\\G.\ \dfrac{\left(\frac{2}{5}\right)^8}{\left(\frac{2}{5}\right)^6}=\left(\dfrac{2}{5}\right)^{8-6}=\left(\dfrac{2}{5}\right)^2\\\\H.\ (0.15)^{-2}\cdot(0.15)^4=(0.15)^{-2+4}=(0.15)^2\\\\I.\ 7^{-5}=\left(\dfrac{1}{7}\right)^5\)

\(J.\ 4\cdot4^3=4^{1+3}=4^4\)

Answer:

5.1 gallons

Step-by-step explanation:

Using the information provided, we know that there is of course 40.8 gallons of paint to be divided into 8 containers. This means we must use a division problem to figure out our answer.

We are splitting the 40.8 gallons into the 8 containers so that means our dividend is 40.8 and our divisor is 8. With this information, we can go ahead and put this into an expression of:

40.8/8

If you have a calculator, you can plug that equation in to get 5.1, but if you don't then a bit of easy long division will get you the same answer of 5.1 gallons.

Answer: 51 gallons

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:the legth is 40

Step-by-step explanation: