Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less

Answer:

[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^6}{6x^{-1}}[/tex]

Required

Solve

In laws of indices, we have:

[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

So, the expression becomes:

[tex]\frac{3x^{6 - (-1)}}{6}[/tex]

[tex]\frac{3x^{6 +1}}{6}[/tex]

[tex]\frac{3x^7}{6}[/tex]

Divide 3 and 6 by 3

[tex]\frac{1x^7}{2}[/tex]

[tex]\frac{x^7}{2}[/tex]

This can be rewritten as:

[tex]\frac{1}{2}x^7[/tex]

Hence:

[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]

Answer:

D

Step-by-step explanation:

Just took the test :)

Answer:

um theres no picture or anything but when a value decreases in an equation its exponential decay...

Answer:

Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.

Answer:

(-7,9)

Step-by-step explanation:

Answer:

[tex]\displaystyle d = \sqrt{72}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, -3)

Point (8, -9)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

2.50 miles

Step-by-step explanation:

Let the distance between the houses be X.

Since, 1mile + 0.25miles = X/2 miles

X = 2.50 miles

Answer:

No

Step-by-step explanation:

Answer:

Leading Coefficient = -8

The degree of f(x) is 4

Step-by-step explanation:

The leading coefficient is always the first number in the equation which is -8 and the highest degree here is 4 as the leading term.

Answer:

75%

Step-by-step explanation:

The percent would be the total cm of water, then minus the left over water divided by the original amount of water, and finally multiplying one hundred.

(8-2)/8*100=75%

Answer:

subtract 2

Step-by-step explanation:

Answer:

Divide an odd number by 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Help me

Answer:

y=15+x

Step-by-step explanation:

Answer:

8/4 or 2

Step-by-step explanation:

2 solutions

The equation 2x - 4 = 4 - 2x has a single solution, x = 2.

The equation 2x - 4 = 4 - 2x can be simplified and analyzed to determine the number of solutions.

First, let's simplify the equation by combining like terms:

4x - 4 = 4

Next, we can add 4 to both sides of the equation to isolate the variable:

4x - 4 + 4 = 4 + 4

This simplifies to:

4x = 8

Now, we divide both sides of the equation by 4 to solve for x:

(4x) / 4 = 8 / 4

This yields:

x = 2

Therefore, the equation 2x - 4 = 4 - 2x has a single solution, x = 2.

This means that when we substitute x = 2 into the original equation, both sides will be equal. Thus, the equation has a unique solution, indicating that the two sides of the equation represent the same line or point of intersection.

In summary, the equation has one solution, which is x = 2.

To learn more about the linear equation;

https://brainly.com/question/29739212

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Step-by-step explanation:

Let x be the smallest even integer.

Then (x + 2) and (x + 4) are the other even integers.

We have x + (x + 2) + (x + 4) = 138.

=> 3x + 6 = 138

=> 3x = 132

=> x = 44.

Hence the smallest integer is 44.

Answer:

D

Step-by-step explanation:

The product of the slope of perpendicular lines  = -1

y = (-1/4)x - 6  ; here slope = -1/4

y = 4x + 11      ;  slope = 4

[tex]4 * \frac{-1}{4}=-1[/tex]

Answer:

In Exact form: x = 1/100000

In Decimal form: 1 x 10^-5

Step-by-step explanation:

Answer:

0.00001

Step-by-step explanation:

Answer:

The rate of change is 7

Step-by-step explanation:

multiply x by 7 to get the y value

Answer:

??

Step-by-step explanation:

Answer: 0.7, 0.2, 0.1

Step-by-step explanation:

For this question, you have to convert each of the fractions into decimals.

You can directly convert 7/10 into a decimal, this is 0.7

You cannot directly convert 1/5 into a decimal, so you have to convert it into tenths first.

To do this, multiply the numerator and denominator by 2

1 x 2 = 2

5 x 2 = 10

2/10

Now you can convert 2/10 directly into a decimal, this is 0.2

And finally you can convert 1/10 into a decimal, this is 0.1

hope this helps :)

Answer:

Hi! The correct answer is 0.7, 0.2, 0.1!

Step-by-step explanation:

I answered this so you can give the other person brainliest! Have a nice day!

Answer:

$3

Step-by-step explanation:

You divide 6 by 2

Answer:

The answer is "Zeros are 0 and 4".

Step-by-step explanation:

Given equation:

[tex]\to x^5+3x^3+x^2+2x[/tex]

applying the by direct verification:  

[tex]\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\[/tex]

                                         [tex]= 0 \ mod \ 5 \\\\[/tex]

[tex]\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\[/tex]

                                          [tex]= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5[/tex]

[tex]\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\[/tex]

                                          [tex]= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]

[tex]\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\[/tex]

                                          [tex]= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]

[tex]\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\[/tex]

                                          [tex]= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5[/tex]

Answer:

8 1/4

Step-by-step explanation:

4 1/2 + 3 3/4   make the denominators the same

4 2/4 + 3 3/4   add the whole numbers

7 + 2/4 +3/4   add the fractions

8 1/4

Answer: 3

Step-by-step explanation:

I took 4 1/2 and made it an improper fraction which is 9/2 and then I took 3 3/4 and turned it into an improper fraction which is 15/4, so now you need to find the common denomerator which is 8 then you add the numerators which is 9 and 15 is 24 so can be divided by 8 so 24 divided by 8  is 3 and 8 divided by 8 is 1 so now you have another improper fraction 3/1 which is just 3. So that is how I got the answer!! :)

Answer:

I'm not sure I understand this. elaborate a bit more and I can help tho :)

Answer:

24

Step-by-step explanation:

Put it in Desmos, and it’ll show you

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -0.5x² + 16x – 96

The function represents the height of a rocket as a function of its horizontal position.

It is reasonable to assume that the rocket is launched from the ground

(x = 0) and that it has some minimum height (above ground level) before it is launched.

Now,

We can find this minimum height by finding the vertex of the parabola, which is given by.

x = -b / (2a)

where a = -0.5 and b = 16.

Plugging in these values, we get.

x = -16 / (2(-0.5))

x = 16

Now,

The vertex occurs at x = 16.

To find the minimum height, we can plug this value into the function.

f(16) = -0.5(16)² + 16(16) - 96

       = 128

Therefore,

The rocket has a minimum height of 128 feet above ground level before it is launched.

To find the reasonable domain of the function.

Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.

Now,

We can find the x-value where the rocket reaches ground level

(i.e., its height is zero) by setting f(x) = 0.

Solving for x.

-0.5x² + 16x - 96 = 0

Using the quadratic formula.

x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))

x = ( -16 ± √(1216) ) / (-1)

x ≈ 24.7 or x ≈ 7.3

Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.

Therefore,

The reasonable domain of the function is 8 ≤ x ≤ 24.7

This means,

The rocket will remain above ground level for all values of x between 8 and approximately 24.7.

Thus,

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

Learn more about functions here:

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Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

Step-by-step explanation:

Answer:

i believe it is neither a function or a relation

Step-by-step explanation:

Answer:

Neither a function or a relation

Step-by-step explanation:

Answer:

While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.