Use the order of operations to evaluate the expression below.
3 + [9 -
(7-6) + 9 - 5] . 3

Answer:

Jump discontinuities - No defined limit; the left-handed and right-handed limits will be different, converging at two different finite values

Removable - The limit at this point is defined; the left and right-hand limits both converge on the same value

Asymptotic - The left-and-right-handed limits at this point will either tend to ∞ or -∞

|x-4| <3

=>. x-4<3 or -(x-4)<3

=>. x-4<3 or x+4>3

=>. x<7 or x>1

So solution is x>1 & x<7. =x€(1,7)

Hope it helps...

Regards,

Leukonov/Olegion.

The solution to the given inequality is:

              [tex]1<x<7[/tex] i.e. in the interval form it is given by: (1,7)

We are given a inequality in term of variable x as follows:

          [tex]|x-4|<3[/tex]

Now, we know that any inequality with modulus function is opened as follows:

If

[tex]|x-a|<b[/tex]

Then we have:

[tex]-b<x-a<b[/tex]

i.e. we may write it as:

[tex]a-b<x<a+b[/tex]

Here in the given expression we have:

a=4 and b=3

Hence, the solution is given by:

[tex]4-3<x<4+3\\\\i.e.\\\\1<x<7[/tex]

Answer:

112.98

Step-by-step explanation:

37.68/2π = 5.9969

5.9969²π = 112.98

ANSWER

The area is 112.9 square units to the nearest tenth.

EXPLANATION

The circumference is given by:

[tex]C=2\pi \: r[/tex]

This implies that,

[tex]37.68 = 2 \: \pi \: r[/tex]

[tex] \frac{37.68}{2\pi} = r[/tex]

[tex]r = 5.997[/tex]

The area of a circle is

[tex]\pi \: {r}^{2} [/tex]

We substitute the radius to get;

[tex]3.14 \times 5.997 ^{2} = 112.93 \: sq. \: units[/tex]

To the nearest tenth, the area of the circle is 112.9 square units.

Answer:

Step-by-step explanation:

Method 1:

The slope-intercept of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the point-slope form:

[tex]y-4=2(x-6)[/tex]

Convert it the the slope-intercept formula:

[tex]y-4=2(x-6)[/tex]            use the distributive property

[tex]y-4=2x-12[/tex]             add 4 to both sides

[tex]y=2x-8\to b=-8[/tex]

Method 2:

The y-intercept is for x = 0. Put x = 0 to the equation:

[tex]y-4=2(0-6)[/tex]

[tex]y-4=2(-6)[/tex]

[tex]y-4=-12[/tex]           add 4 to both sides

[tex]y=-8[/tex]

Answer:

the interest earned= 93.401

and the future value of an annuity= 493.401

Step-by-step explanation:

Given Data:

Interest rate= 7%

time,t = 3 years

weekly payment, P= 400

At the end of 3 years, final investment A= ?

n= 52 as it is weekly

As per the interest formula

A= P(1+r/n)^nt

Putting value in above equation

= [tex]400\left(1+\frac{0.07}{52}\right)^{156}[/tex]

= 493.401

Interest earned = A-P

                           = 493.401-400

                          = 93.401 !

Answer:

f(x)= x^3-5x^2-23x-12

Step-by-step explanation:

Given:

function f(x) divided by x + 2, the quotient is x2 – 7x – 9 and the

remainder is 6

When a polynomial f(x) is divided by any another polynomial d(x) and there is q(x) and r then it can be written as:

f(x)= d(x)q(x) + r

Now putting values of d(x)= x+2, q(x)= x2 – 7x – 9 and r=6, we get

f(x)= (x+2)(x^2-7x-9)+6

f(x)= x^3 -7x^2-9x+2x^2-14x-18+6

    = x^3-5x^2-23x-12 !

Final answer:

To find the function given a quotient and remainder when divided by x + 2, combine the terms to get f(x) = x² - 7x - 3. The resulting function f(x) is in standard form.

Explanation:

The function f(x) is a polynomial that can be expressed as f(x) = x² - 7x - 9 + 6/(x + 2). Finding the function in standard form involves combining the quotient and remainder terms.

To write it in standard form, simplify the expression to f(x) = x² - 7x - 3.

Therefore, the function f(x) = x² - 7x - 3.

The function f(x) = (x^2 - 4x - 12) / (x + 2) is a rational function, which is a ratio of two polynomials. To find its discontinuity, we identify values of x which makes the denominator zero, in this case x = -2, making this the function's discontinuity.

The function given is f(x) = (x^2 - 4x - 12) / (x + 2). This is a rational function, which is a ratio of two polynomial functions - in this case, a quadratic function (x^2 - 4x - 12) and a linear function (x + 2).

To find the discontinuity of a rational function, we need to identify the values of x that make the denominator zero since division by zero is undefined. In this case, that's when x = -2. Thus, this function has a discontinuity at x = -2.

Note that this does not factor into the asymptote of the function as some might believe, but it's instead a point at which the function is undefined. "Graphing this function would show a hole at x = -2".

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Answer:

Step-by-step explanation:

The perimeter of the given triangle:

P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.

Therefore we have the equation:

2x + 1 + x + 2 + 3x - 9 = 36          combine like terms

(2x + x + 3x) + (1 + 2 - 9) = 36

6x - 6 = 36      add 6 to both sides

6x = 42          divide both sides by 6

x = 7

Answer:

x = 9

Step-by-step explanation:

Substitute y=6 into 2x+3y=36

2x+3(6) =36

2x + 18 = 36

2x = 18

x = 9

Answer:

x = 9

Step-by-step explanation:

Substitute y=6 into 2x+3y=36

2x+3(6) =36

2x + 18 = 36

2x = 18

x = 9

Answer:

128

Step-by-step explanation:

4*4*8=

Answer:

109.85641

Step-by-step explanation:

A=2AB+(a+b+c)h

A=ah+bh+ch+1/2 squared rooted﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

=4·8+4·8+4·8+1/2·squared rooted﹣44+2·(4·4)2+2·(4·4)2﹣44+2·(4·4)2﹣44

≈109.85641

Answer:

D) L(p(x)) = 2.5(1.04954)x

Step-by-step explanation:

Answer:

The function is exponential.

The function increases by a factor of 2.5 for each unit increase in x

The domain of the function is all real numbers

Step-by-step explanation:

The function is exponential.

The function increases by a factor of 2.5 for each unit increase in x

The domain of the function is all real numbers

Answer:

The domain is {x I x ≠ 13} ⇒ the last answer

Step-by-step explanation:

* Lets talk about the composite function

- It is a function is found from two given functions by applying one

 function into the second function.

- The applying function is the domain of the second function

- (f °g)(x) means g(x) is applying into f(x)

* Lets solve the problem

∵ f(x) = x + 7

∵ g(x) = 1/(x -13)

- To apply g(x) into f(x) replace x in f(x) by g(x)

∴ f(g(x)) = f(1/(x - 13)) = 1/(x - 13) + 7

- The domain of the function is all values of x which make the function

  defined

- The domain is all real numbers except the value which makes

 the denominator = 0

- To find this value put the denominator = 0

∵ The nominator of (f ° g)(x) is x - 13

∴ Put x - 13 = 0

∴ x - 13 = 0 ⇒ add 13 to both sides

∴ x = 13

∴ The domain of (f ° g)(x) is all real numbers except x = 13

* The domain is {x I x ≠ 13}

ANSWER

A) v1 is not perpendicular to v2

EXPLANATION

Two non-zero vectors are orthogonal or perpendicular if their dot product is zero.

In other words,if two non-zero vectors are not orthogonal or perpendicular then their dot product is not equal to zero.

From the question v1 and v2 are non-zero vectors and their dot product is not equal to zero.

This tells us that, the two vectors are not perpendicular.

The correct choice is A.

Answer:

A) v1 is not perpendicular to v2

Step-by-step explanation:

This proves that the test for orthogonality fails (doesn’t equal zero) meaning that V1 is not perpendicular to V2.

[tex]\frac{sin(x+y)}{sin(x-y)} = \frac{tan(x)+tan(y)}{tan(x)-tan(y)}[/tex]

Answer with explanation:

→sin (x+y)=sin x cos y +cos x sin y

→sin (x-y)= sin x cos y - cos x sin y

[tex]\Rightarrow \frac{\sin (x+y)}{\sin (x-y)}\\\\\Rightarrow \frac{\sin x \cos y + \cos x \sin y}{\sin x \cos y - \cos x \sin y}\\\\\rightarrow \text{Dividing numerator and Denominator by} \cos x \cos y\\\\ \Rightarrow \frac{\frac{ \sin x \cos y}{\cos x \cos y} +\frac{ \sin y \cos x}{\cos x \cos y}}{\frac{ \sin x \cos y}{\cos x \cos y} -\frac{ \sin y \cos x}{\cos x \cos y}}\\\\\Rightarrow \frac{\tan x +\tan y}{\tan x -\tan y}[/tex]

Answer:

-3/4

Step-by-step explanation:

Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.

To find the perpendicular slope you must take the given slope take the opposite reciprocal (aka switch the sign and flip the fraction)

so...

[tex]\frac{-3}{4}[/tex]

^^^slope perpendicular to 4/3

Hope this helped!

~Just a girl in love with Shawn Mendes

Hello There!

None of them would be the correct answer

Have a great day!

Answer:

434

Step-by-step explanation:

2(wl+hl+hw)

Answer: the surface is 434 square feet.

Step-by-step explanation:

you can use the formula of right rectangular is 2(wl+wh+lh). The rectangular prism has 6 faces. So the surface area is 434 square feet.

For this case we have that if "and" varies directly proportional to "x", it follows that:

[tex]y = kx[/tex]

Where:

k: It is the constant of proportionality.

Then, we look for the value of "k":

[tex]9 = k (5)\\k = \frac {9} {5}[/tex]

So, now we look for the value of "y" when x = 20.

[tex]y = \frac {9} {5} (20)\\y = \frac {180} {5}\\y = 36[/tex]

Thus, the value of y is 36

Answer:

[tex]y = 36[/tex]

Answer:

Final answer is y=36 and the constant of variation is k=9/5.

Step-by-step explanation:

Given that the variable y varies directly to the variable x.

Then we can write equation as y=kx

Were k is the constant of variation.

Given that If y = 9, then x = 5.

Plug these values into above equation, we get:

y=kx

9=5k

5k=9

k=9/5

Now we need to find the value of y when x = 20. So plug x = 20 and k=9/5 into above formula

y=kx

y=(9/5)(20)

y=180/5

y=36

Hence final answer is y=36 and the constant of variation is k=9/5.

Answer:

the answer would be 4

Step-by-step explanation:

The number 39□,077 to the nearest thousand and get 394,000, the thousands place digit must be 5 since that's the digit which would lead to rounding up. Hence, the correct digit to replace the □ would be 5.

Digits in the thousands place of the number 39□,077 would make it round to 394,000 when rounded to the nearest thousand. When rounding to the nearest thousand, we look at the hundreds place to decide whether to round up or down. The rules for rounding are if the hundreds place digit is 5 or higher, we round up, and if it is 4 or lower, we do not round up.

Therefore, to round up to 394,000, the digit in the hundreds place should be 5 or higher. This means that the options provided as possible answers:

3

4

5

Can be evaluated based on this rule. The digit 3 or 4 in the thousands place would not cause the number to round up, but the digit 5 would result in the number being rounded up to 394,000. Thus, the correct answer is 5.

Answer:

C.

Step-by-step explanation:

A false negative is when you test negative when you should have tested positive

A false positive is when you test positive on a test you should have been negative on

Testing positive for a disease when you don't really have the disease is option C. False positive.

False positive is defined as the error caused by the false positive of an actual negative condition.

There are mainly two kinds of errors in probability.

One is false positive and the other one is false negative.

False positive error as discussed above is the false positive statement for an actual negative condition.

For example, a test result showing that you are pregnant while you are actually not.

False negative errors are those formed by the false negative for an actual positive statement.

For example, a test result showing that you are not pregnant while you are actually pregnant.

Here, since the test result is positive but actually you don't have the disease is a false positive.

Hence the given statement is false positive.

Learn more about False Positives and False Negatives here :

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Answer:

1/2

Step-by-step explanation:

Use the slope formula:

[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] slope = m = \dfrac{6 - 4}{5 - 1} [/tex]

[tex] slope = m = \dfrac{2}{4} [/tex]

[tex] slope = m = \dfrac{1}{2} [/tex]

[tex] \frac{y2 - y1}{x2 - x1} = \frac{4 - 6}{1 - 5} = - 2 \div - 4 = 1/2

Answer:

Degree 9.

Step-by-step explanation:

The degree is the sum of all the exponents.

So it is 2 + 3 + 4 = 9.

The degree is the sum of all the exponents  5r^2s^3t^4, So it is 2 + 3 + 4 = 9.

The degree sum formula says that if you add up the degree of all the vertices in a (finite) graph, the result is twice the number of the edges in the graph. There's a neat way of proving this result, which involves double counting: you count the same quantity in two different ways that give you two different formulae.

The degree is the sum of all the exponents  5r^2s^3t^4

So it is 2 + 3 + 4 = 9.

Degree of the Term is the sum of the exponents of the variables. Example. 2x 4y 3 4 + 3 = 7 7 is the degree of the term. 5x-2y 5 NOT A TERM because it has a negative exponent.

To learn more about the degree sum formula, refer

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Answer:

C & D

Step-by-step explanation:

Change all the test scores so they have common denominators.

Unit 1 91/100

Unit 2 45/50 * 2/2 = 90/100

Unit 3 18/20 * 5/5 = 90/100

Unit 4 23/25* 4/4 = 92/100

As you can see, Unit 2 and 3 are equivalent.

I believe the answers are C and D. You have to change the test scores so they have common denominators. Correct me if I'm wrong. Hope this helps!

Answer:

1/2 + 1/4 + 1/12 + 8333/10000

Answer: 21

Step-by-step explanation:

we have two simple equations:

1) 70=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

70/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 70

70/x=100/30

(70/x)*x=(100/30)*x - we multiply both sides of the equation by

70=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x

70/3.33333333333=x

The fore, the answer is 21

Answer:

21

Step-by-step explanation:

30% of some quantity is equivalent to 0.30 times that quantity.

In this case, 30% of 70 is 0.30(70) = 21.

Answer:

The area of the trapezoid should be:

A = (a + b)/2 · h = (4 + 8)/2 · 4 = 24

So the area of the trapezoid is 24 square units.

The answer is B.) 24 square units

Answer: 1/4

Explanation: Because there is a 1/2 chance that a female will get the first job, and a half chance that a lady will get a second job. So (1/2)*(1/2)=(1/4)

Sooo whats the question

Answer:

x=3

Step-by-step explanation:

i just did it on ttm  

the y=14x-6

y=-4x=48

Answer:

[tex]x = 3[/tex]

Step-by-step explanation: