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Answer:

1/125—> 5tothepowerof-3

-1/125> -5tothepowerof-3

-125>(-5tothepowerof-3) tothepowerof-1

1> (-5tothepowerof-3)tothepowerof0

Step-by-step explanation:

Answer:

x = 3/4

Step-by-step explanation:

Simply add 1/4 to both sides of the equation to isolate x and to get your answer.

x = 1/4 + 1/2

x = 1/4 + 2/4

x = 3/4 or 0.75

Answer:

x = 3/4

Step-by-step explanation:

common denominator

x-1/4=2/4

addition property of equality

x=3/4

Mathematics is not discovered, it is invented

Answer:

Maths can be said as both invented as well as discovered.

Like for example, if we take the Pythagoras theorem, what the theorem is based on was already existing (in sense, the sum of the altitude ² + base² was already = hypotenuse ² even without any proof, in a right angled triangle).

But for the various ways to prove the theorem, lots of formula had to be invented.

Hope this helps you...

Answer:

It's (B) \(\frac{3}{2}\)

Step-by-step explanation:

Hope this helped you!

Answer:

f^-1(8) = 3/2

Step-by-step explanation:

f(x) = 2x + 5

y = 2x + 5

x = 2y + 5

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

f^-1(8) = (8 - 5)/2

f^-1(8) = 3/2

Answer:    A. a² = -25

Step-by-step explanation:

The square of a number can never be negative and as such a² ≠ - 25.

Proof of this is that the √-25 = 5i  (aka an imaginary number).

The relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.

The angles when added give the sum of 90 degrees and are called complementary angles. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

In the given figure it is observed that the two angles ∠a and ∠b when added give 90 degrees.

Therefore, the relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.

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The rule for the relationship between the nonfiction and fiction books as an expression is n = 4f.

We have,

Let's write a rule for the relationship between the number of non-fiction books (n) and the number of fiction books (f) based on the given information.

We are told that the library loans 4 times as many non-fiction books as it does fiction books.

This means that the number of non-fiction books (n) is equal to 4 times the number of fiction books (f).

Mathematically, we can express this relationship as:

n = 4f

Where:

n = Number of non-fiction books

f = Number of fiction books

Thus,

The rule for the relationship between the nonfiction and fiction books as an expression is n = 4f.

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Answer: 7/27

Step-by-step explanation: add both numbers to get 54, take 14, divide it by 54 and simplify to get 7/27, I hope this is correct and I hope this helps

Answer:
option C (=)

Step-by-step explanation:

\(solving RHS\)
\(\frac{-10}{4}\)

\(-2.5\)

So clearly LHS = RHS

Because 10 divided by 4 is 2.5

Answer:

Option (C) =

Step-by-step explanation:

-2.5 = -10/4

-2.5 = -2 - 1/4

-2.5 = -2 - 0.5

-2.5 = -2.5 (After simplification)

Hence, we can see that -2.5 = -10/4

So the sign will be ‘=’

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Answer:

334.8

Step-by-step explanation:

Answer:

115.2

Step-by-step explanation:

8% equals .08

24 hours x 60 minutes = 1440 minutes

1440 x .08 = 115.2

When in doubt you can check. Do this to each section, add up and make sure you 1440.

Answer:

Avery spends an approximate number of 115.2 minutes each day on extracurricular activities.

Step-by-step explanation:

1 day = 24 hour     60min = 1 hour

24 × 60 = 1440 (1440min in a day)

Extracurricular activities: 8%

\(\frac{8*1440}{100}\) = \(\frac{11520}{100}\) (divide 11520 by a hundred) = 115.2

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

Answer:

The range is 37, and the IQR is 23.

Step-by-step explanation:

A box plot (also known as a "box and whisker plot"), is a graph displaying the distribution of a set of data based on a five-number summary.

From the given information, the five-number summary of the Jumping Jacks box plot is:

The range is the difference between the maximum and minimum values. Therefore, the range for the data is:

\(\sf Range = 52 - 15 = \boxed{\sf 37}\)

The IQR is the difference between the upper quartile and the lower quartile. Therefore, the IQR for the data is:

\(\sf IQR = Q_3 - Q_1 = 49 - 26 = \boxed{\sf 23}\)

The range is 37, and the IQR is 23.

Answer:

A-

YES they are proportional because the answer every time is 5x

B- The x coordinate is growing by one and the y coordinate is growing by 5

C- for 0 t-shirts the y coordinate would be 0 as well, and for 5 shirts it would be 25 (5*5)

Focus on Math-

no it would not because instead of the equation looking like 5x it would look like 5x+4

Enjoy!!

The exponential regression equation that fits the data is:

\(y = 4.981 \times 2.674^x\)

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Exponential regression is a statistical method used to model relationships between two variables, where one variable is the exponent of another.

In this case, we have two variables, X and Y, and we want to find an exponential function that best fits the data.

The general form of an exponential function is \(y = a \times b^x,\)

where a and b are constants.

To find the exponential regression equation that fits the data, we need to find the values of a and b that minimize the sum of the squared errors between the predicted values of Y and the actual values of Y.

Using a software program or a calculator with regression capabilities, we can input the data and find the values of a and b that best fit the data.

In this case, the exponential regression equation that fits the data is:

\(y = 4.981 \times 2.674^x\)

This equation has an R-squared value of 0.995,

which indicates a very good fit between the data and the exponential model.

Thus,

The exponential regression equation that fits the data is:

\(y = 4.981 \times 2.674^x\)

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Answer:

C

Step-by-step explanation:

It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.

Answer:1125

Step-by-step explanation:

you will take and times 225 by 5 to get the answer

45(x)-20

x=hours

7 hours

x=7

45(7)-20 =295

Answer:

y = 45(7) - 20

Step-by-step explanation:

Money earned: 45x.

Money spent: 20

Total money: 45x-20

In this case,  if he worked 7 hours, he would make a total of 45(7)-20, or 295 dollars for the day.

Let me know if this  helps!

Answer:

that is one confusing word problem i don't understand it

Step-by-step explanation:

sorry i could't help

The number must be x = -2.

Here,

Let's represent the unknown number as "x."

According to the given information:

The quotient of a number and 6 minus is equal to the quotient of the number and 8.

This can be expressed as:

x / (6 - x) = x / 8

To solve for x, we can cross-multiply:

8 * x = x * (6 - x)

8x = 6x - x²

Now, let's move all terms to one side of the equation:

x² - 6x + 8x = 0

x² + 2x = 0

Factor out the common term "x":

x(x + 2) = 0

Now, we have two possible solutions:

x = 0

x + 2 = 0 => x = -2

Since we are looking for a real number solution,

the number must be x = -2.

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Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Answer:

As a professional failure, I shall try this.

3.5 * 10^3

Answer:

r = 1

Step-by-step explanation:

The equation is,

→ 6r - 1 + 6r = 11

Now the value of r will be,

→ 6r - 1 + 6r = 11

→ 12r = 11 + 1

→ r = 12/12

→ [ r = 1 ]

Hence, the value of r is 1.

Answer:

The answer is 1 r is equal to 1

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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