help is highly appreciated <3

Answer:

1

Step-by-step explanation:

Answer:

(x-2)/3

Step-by-step explanation:

3x^2 -12

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

9x+18

Factor

3(x^2-4)

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

9(x+2)

Notice the numerator is the difference of squares

3(x-2)(x+2)

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

3*3(x+2)

Canceling like terms

(x-2)

--------

3

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\dfrac{3x^2-12}{9x+18}\\\\ \dfrac{3(x^2-4)}{9(x+2)}\\\\ \dfrac{3(x+2)(x-2)}{3.3(x+2)}\\\\ \dfrac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\\dfrac{x-2}{3}[/tex]

Answer:

[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]

Step-by-step explanation:

The given numbers and their categories are;

1) [tex]-3\dfrac{3}{9}[/tex]  is not a natural number, because, natural numbers are whole number positive integers. It is not an integer, because it is a fraction.

It is a real number, because it has no imaginary part and it is a rational number because it can be expressed as a fraction

2) √11 is not a rational number, because it cannot be expressed as a fraction, and it is real number because it has no imaginary parts.

Therefore, is an irrational and real number

3) 125; The options selected are correct

4) 4·∛125 = 4 × 5 = 20; The options selected are correct

5) 7.[tex]\overline {17}[/tex] = 710/99; Therefore, 7.[tex]\overline {17}[/tex] is a rational number and it is also a real number as all natural, whole, integers, rational, and irrational numbers are real numbers

We get;

[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]

Step-by-step explanation:

5 × 10[tex] {}^{-5} [/tex]

is in standard form or scientific notification. I have assumed that you meant what is 5 × 10[tex] {}^{-5} [/tex]

as a number

so here it is :-

[tex]5 \times {10}^{-5} = \frac{5}{100000} [/tex]

[tex] = 0.00005[/tex]

the Standard form 5x10-⁵ is 0.00005.

Answer:

[tex]\bold{5*10^{-5}=\frac{5}{100000}=0.00005}[/tex]

Answer: 16:81

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

by plugging on the number 2 to the equation, solve 3×2=6 and then subtract 1=5

Answer:

[tex]\sqrt{17}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^2 + 1^2}[/tex]

[tex]\sqrt{17}[/tex]

Answer:

There is a slight problem with this question

Do numbers starting with "0" count as a digit position

I would say no, thus the answer is 4...

if you are allowed to use 0 then the answer is 8

in other words if the question was using only 4's and 1's then the answer would be 8  

Step-by-step explanation:

000

004

040

044

400

404

440

444

Answer:

v =  14 km/h

Step-by-step explanation:

d = 0.0067[tex]v^{2}[/tex] + 0.15v

differentiate the function with respect to v to have;

d = 0.0134v - 0.15

given that the distance without skidding = 37 m (0.037 km) , then;

0.037 = 0.0134v - 0.15

0.0134v = 0.037 + 0.15

             = 0.187

v = [tex]\frac{0.187}{0.0134}[/tex]

  = 13.9552

v =  14 km/h

The speed of the car travelling would be 14 km/h to be able to stop within 37m.

Answer:

Yes, the function is symmetric about y-axis.

Step-by-step explanation:

To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.

If h(x) = h(-x) then it is symmetric about y-axis.

Let's find h(-x) now.

h(-x)= [tex](-x)^4} -5(-x)^{2} +3[/tex]

Let's simplify it

h(-x)=[tex]x^{4}-5x^{2} +3[/tex]

Here, h(x) = h(-x). The function is symmetric about y-axis.

Answer:

sink at 1.28 g/cm^3

v = 4/3 [tex]\pi r^{3}[/tex]

v = 4/3 [tex]\pi 1.4^{3}[/tex]

v =11.49 /9 =1.28

Step-by-step explanation:

Answer:

0 because there is no image....

Answer:

the first one...

the cost of renting the ally for 14 hours

Step-by-step explanation:

Answer:

the first one

the number of dollars it costs to rent the bowling lane for14 hours

Answer:

Step-by-step explanation:

x = - 48/-8  = 6

c = c^2/c^1 = c^(2-1) = c^1

d = d^4 / d^1 = d^(4 - 1) = d ^3

x = 6

e = 1

f = 3

(a) i aint drawing a tree but basically, if left means a boy is born and right means a girl is born, the far left result (both boys) will happen with probability [tex](0.52)^2[/tex], the two middle results (one boy and one girl) will both happen with probablility [tex]0.48 \cdot 0.52[/tex], and the far right result (both girls) will happen with probability [tex](0.48)^2[/tex].

(b) binomial distribution table for what...?

Answer:

Step-by-step explanation:

Answer:

86°

Step-by-step explanation:

180-(2*47)

= 180-94

= 86

Answered by GAUTHMATH

Hello!

32 students (girls+boys)

20 (girls)

32-20 = 12 (boys)

The ratio of girls to the boys

= 20:12

= 5:3

D is the answer.

Good studies!

Answer:

4049

Step-by-step explanation:

For a set of N numbers:

{x₁, x₂, ..., xₙ}

The mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

So, if we have 2021 different positive integers, we have N = 2021.

We know that the mean is 3939.

We want to find the minimum possible value of the largest number in the set.

This is kinda trivial but:

We have 2021 numbers = 2020 numbers + 1 number

So we can assume that half of these 2020 numbers are consecutive to and smaller than 3939 and half are larger than and consecutive to 3939, and the remaining number is 3939, then our set is:

{ (3939 - 1010), (3939 + 1009),..., (3939), ..., (3939 + 1010)}

Obviusly, because the numbers are symmetrically distributed around 3939, the mean will be 3939.

And this is the case where we have the smallest largest value in the set, as the numbers are all clustered, for example, if one of the numbers in the lower side was 2 units smaller, then the largest number should be 2 units larger.

Then, the minimum possible value of the largest number is:

3939 + 1010 = 4049

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines intersect and create 4 90 degree angles

Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular

Answer:

O-2(x+5)=2x-10

Explanation

O-2(x+5)=2x-10

SOLUTION

-2x(x)= -2x

-2x+5 = -10

Answer:

3

Step-by-step explanation:

assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.

Answer:

i am not sure about this answer but i got r^2+10r+25

Answer:-7

Step-by-step explanation:

24-8i=10-10i

24-10=-10i+8i

14=-2i

I=-7

Answer:

B

Step-by-step explanation:

A x - 36 <42 is wrong because its saying how many can be added

B x +36 < 42 this one is most likely correct because its displays x as how many can be added

C x - 36 > 42 this is wrong because the bus has less than 42 seats

D x + 36 >57 like i said cant be over 42

The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.

Let x be the number of passengers that can be added to the bus.

It is given that the bus has less than 42 seats and 36 seats are already occupied.

The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.

Therefore the inequality equation becomes,

x + 36 < 42.

Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

To learn more about inequality equation, refer -

https://brainly.com/question/17448505

#SPJ2

Answer:

Step-by-step explanation:

1) ML // JK , MK is transversal,

∠LMK = ∠MKJ   {Alternate interior angles are congruent}

∠LMK = 30°

In ΔMKO,

30 + 115 + ∠ JLM = 180  {Angle sum property of triangle}

        145 +∠ JLM  = 180

∠ JLM  = 180 - 145

∠ JLM = 35°

2) AB // CD , AC is transversal

∠DCA = ∠BAC     {Alternate interior angles are congruent}

∠DCA = 23

∠BCD = ∠DCA + ∠BCA

          = 23 + 37

          = 60

3) EF // HG ; FH  is transversal

∠FHG = ∠HFE   {Alternate interior angles are congruent}

 ∠FHG = 77

4) ZY // WX ;  WY is transversal

∠ZYW = ∠XWY         {Alternate interior angles are congruent}

            = 65

ZY // WX ;  WY is transversal

∠ZWY = ∠WYX   {Alternate interior angles are congruent}

           = 36

In  ΔWZY

36 +  65 + ∠z = 180

        101 +∠Z = 180

∠Z = 180 - 101

∠Z = 79

Answer:

C

Step-by-step explanation:

By using a piece-wise function that models the cost as a function of the number of miles driven, we will see that the cost for 150 miles is $67.00

We know that there is a base fee of $40 plus $0.25 for the first 100 miles, and for each mile, after the 100 the cost is $0.18.

Then we have the piece-wise function:

c(x) = $40 + $0.25*x   0 ≤ x ≤ 100

c'(x) = $40+ $0.18*x   100 ≤ x

If x = 150, we need to use the second part, this will give:

c(150) = $40 + $0.18*150 = $67.00

So the cost is $67.00

If you want to learn more about piece-wise functions, you can read:

https://brainly.com/question/3628123

Answer:

280

Step-by-step explanation:

Use the formula: (a((r^n)-1))/(r-1)

= (7((3^4)-1))/(3-1)

The sum of the given geometric series is 280.

We have given that,

a1=7, n=4 and r=3

We have to determine the sum of a geometric series

[tex]S_n=(a((r^n)-1))/(r-1)[/tex]

[tex]= (7((3^4)-1))/(3-1)[/tex]

[tex]=280[/tex]

Therefore the sum of the given geometric series is 280.

To learn more about the geometric series visit:

https://brainly.com/question/25630111

#SPJ2

Answer:

[tex]WX=\sqrt{970}[/tex]

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

XR=23 by taking half of 46

[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]

sqrt both sides to get your answer of 31.14

Answer:

x = 6; y = 4

Step-by-step explanation:

y=4

-3x+5y=2

-3x + 5(4) = 2

-3x + 20 = 2

-3x = -18

x = 6

Answer: x = 6; y = 4

Answer:

(6,4)

Step-by-step explanation:

y=4

-3x+5y=2

Substitute y=4 into the second equation

-3x+5*4=2

-3x +20 = 2

Subtract 20 from each side

-3x +20-20 = 2-20

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x=6

(6,4)