Find the value of each variable.

Answer:

Step-by-step explanation:

Limits exist for:

[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7

[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6

[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]

The value of the annual premium will be $1134.40

From the information given, the annual base premium will be:

= Liability premium + Collision premium + Comprehensive premium

= $383 + $240 + $86

= $709

The annual premium will be:

= Annual base premium × Driver eating factors

= $709 × 1.60

= $1134.40

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Answer:

Zero

Step-by-step explanation:

the line is not going up or down therefore there is no slope

The type of statistical technique that is employed in future predictions of outcomes based on presented data is: C. linear regression.

Linear regression can be described as a statistical technique that is used to make future predictions using the regression equation of a line of best fit that models the relationship between variables Y and X.

Through the regression equation, outcomes of the future can be predicted. This statistical technique is known as: C. linear regression

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The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

Quotients are result derived from the ratio of two rational or integers. Given the expression

21.49 ÷ 3.76

Convert to fraction

21.49 ÷ 3.76 = 2140/100  ÷  376/100
21.49 ÷ 3.76 = 2140/376

21.49 ÷ 3.76 =  5.69

Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

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Answer:

-2

Step-by-step explanation:

coefficient is the number without a letter next to it

Answer: 3

Step-by-step explanation:

      First, we will write a mathematical equation for the phrase given.

-> Let n be "a number"

             four subtracted from twice a number is two

             four subtracted from twice a number = 2

             (twice a number) - 4 = 2

             2n - 4 = 2

      Now, we will solve this equation by isolating the variable.

             2n - 4 = 2

             2n = 6

             n = 3

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Answer:

x= -2, x= +11

Step-by-step explanation:

I hope this is right!

To factorise, we need two numbers that add to make -9 and multiply together to make -22.

2 - 11 works, so we put it in the brackets in this order.

(x + 2) (x - 11)

so x + 2 = 0 and x - 11 =0

but we could also simplify this to say that x could be either -2 or + 11.

I hope this helps.

Have a lovely day.

The crane is 139.8cm tall.

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

Using Trigonometry

tan 30 = h/y

1/√3 = h/y

y= h√3

and, tan 25= h/y+62

         0.96= h/(h√3 +62)

             h= 0..96 (h√3 +62)

             h= 0.96*h*1.732+0.96*62

             h=0.796h +28.52

             0.2404h= 28.52

                  h= 139.8 cm

Hence, whooping crane is 139.8 cm.

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Answer:

I need it in English please so I can helps

Answer:

252 in^3

Step-by-step explanation:

give brainliest, please!

hope this helps :)

to figure out the volume we have to multiply the base, and height together.

the base is 18 and the height is 14.

18 times 14 = 252

252 in^3

Answer:

3,024 in. 3

Step-by-step explanation:

1 foot = 12 inches

18x12x14= 3024

I just did this assignment

Answer:

Point A

Step-by-step explanation:

Please Mark me as brainliest

Answer: point A

Step-by-step explanation:

You move two to the right and up one because the two is the x-coordinate so on the x-axis you start from (0,0) and move to the right since it’s positive. If it was negative it would be to the left. Same as when dealing with y. The y coordinate is one so you move up on the y-axis(always start from the origin which is (0,0)). If it was negative you move down. Rise/run in this case 1/2.

Answer:

see the attachment photo!

to get the equation of any straight line, we simply need two points off of it, let's use the provided points in the picture above.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{1 +3}{1 +0}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+3=4x\implies y=4x-3[/tex]

choice (A) is correct

hope it helps

Step-by-step explanation:

area of a rectangle is

length × width

so, in our case

2 2/5 km² = 1 2/5 × width (or length, it does not matter)

12/5 km² = 7/5 × width

width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km

Answer:

  0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

  q^x = 1

This is solved using logarithms.

__

  x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

  x = 0

  log(q) = 0   ⇒   q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to any power.

_____

Additional comment

The applicable rule of logarithms is ...

  log(a^b) = b·log(a)

Answer:

-148

Step-by-step explanation:

Hello!

We can evaluate by plugging in -3 for x, and -7 for y in the expression [tex]3x^3 - 2x^2 + 7y[/tex]

The evaluated value is -148.

Answer:

-148

Step-by-step explanation:

Answer:

14 Minutes

Step-by-step explanation:

1.68 divided by 0.12 is 14 or Multiply 0.12 by 14 and you get 1.68.

The combination of the radicals 9√x - 3√x will be equal to 6√x.

The radical is the symbol that is used to represent the root in the expression n√x.

The given radicals can be combined as shown below,

9√x - 3√x

Taking √x as the common term,

= √x(9-3)

= 6√x

Hence, the combination of the radicals 9√x - 3√x will be equal to 6√x.

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Answer:

x = -π

Step-by-step explanation:

An asymptote line is a line that the graph does not intercept or pass through but rather approaches it. An asymptote line also is considered to be a line of undefined value of function because if an asymptote is x = a then f(a) is undefined.

The question gives a function y = csc(x) which is in another form, y = 1/sin(x).

We have to find the value of x that turns the function in undefined and that x-value will be your asymptote.

From a unit circle, we know that sin(-π) = -sin(π) = 0. Since sin(-π) = 0 —> y = csc(-π) = 1/sin(-π) = 1/0

Now we find out that at x = -π, csc(x) is not defined and hence, an asymptote is x = -π

Answer:

look at the photo

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

Answer:

Step-by-step explanation:

Note. It is assumed * is x in the function notation.

Substitute the value of x into equation:

Correct answer choice is B

Answer: you can use .5 yards of ribbon

Step-by-step explanation: this equals 18inches or 1.5 feet hope this helps

there you go hope it helps :)

Answer:

1/7

Step-by-step explanation:

Answers:

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

Explanation:

Skip to the "Work Shown" section below to see the steps for each part.

Each variable is a place holder for some unknown number. We can think of it like a box that holds a number. Luckily the letter x is found in the word "box" to help cement this line of thinking.

1x = 1 box

2x = 2 boxes

3x = 3 boxes

and so on

This shorthand notation allows us to quickly add boxes

2 boxes + 3 boxes = 5 boxes

So 2x+3x = 5x

And we can subtract boxes as well

7 boxes - 3 boxes = 7x - 3x = 4x = 4 boxes

The same number must go in box x for this to work out.

When it comes to dealing with negative numbers, it might help to use a vertical number line. I like to think of it like going up and down an elevator on a skyscraper. Negative integers represent basement levels.

It's possible to have boxes within boxes. The box A has the three boxes x-y+z inside it. So wherever we see an "A", replace it with x-y+z. Unfortunately we don't know what numbers go in the boxes for x, -y and z. Use the same type of thinking for B and C.

Don't forget to use the distributive property to distribute the negative through to each term.

Example: (x+y)-(w+z) = x+y-w-z

Many students make the mistake in saying that (x+y)-(w+z) = x+y-w+z which is not true. The +z should be -z at the very end.

Let me know if you have any other questions.

The next section below shows the steps needed to get the three answers.

----------------

Work Shown:

Part (I)

A+B+C = (x-y+z)+(2x-3y+4z)+(4x-5y-6z)

A+B+C = (x+2x+4x)+(-y-3y-5y)+(z+4z-6z)

A+B+C = 7x - 9y - z

Part (II)

A-B+C = (x-y+z)-(2x-3y+4z)+(4x-5y-6z)

A-B+C = x-y+z-2x+3y-4z+4x-5y-6z

A-B+C = (x-2x+4x)+(-y+3y-5y)+(z-4z-6z)

A-B+C = 3x - 3y - 9z

Part (III)

A+B-C =  (x-y+z)+(2x-3y+4z)-(4x-5y-6z)

A+B-C =  x-y+z+2x-3y+4z-4x+5y+6z

A+B-C = (x+2x-4x)+(-y-3y+5y)+(z+4z+6z)

A+B-C = -x + y + 11z

The appropriate domain of the population function is 0 ≤ t ≤ 14

The function is given as:

P(t) = 3(2)^t

From the question, we understand that the maximum time is 2 weeks.

2 weeks in days is 14 days

This means that the function is valid for 14 days i.e. t = 0 to 14

Hence, the appropriate domain of the population function is 0 ≤ t ≤ 14

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