What is the explicit formula for this sequence?

The solution to the multiplication of surds (2√3) × (3√2) is; 6√6

Let us break each of them into the factors to get;

√12 × √18 = √(4 × 3) × √(9 × 2)

(√4 × √3) × (√9 × √2)

Simplifying this further gives;

(2√3) × (3√2)

a√b × p√q = ap√bq

(2√3) × (3√2) = 6√6

Read more about multiplication of surds at; https://brainly.com/question/24700530

Answer:

x = 50

Step-by-step explanation:

The unknown arc is

360 -30-100-100 =

130

We can find the value of x

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

x = 1/2 ( 130 -30)

x = 1/2 (100)

x = 50

explanation

above shows total explanation by set theory,

answer

2

, t

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

Answer:

explain two ways in which the preservation of natural environments adds quality of life in a country : ,

Answer:

D. 8

Step-by-step explanation:

[tex]3\frac{3}{5} x2\frac{2}{9}[/tex]        Convert the fractions into a improper fractions

[tex]\frac{18}{5} x\frac{20}{9}[/tex]         Multiply 18 x 20 / 5 x 9

[tex]\frac{360}{45}[/tex]              Simplify

8

Answer:

47 pencil

Step-by-step explanation:

Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

Cost of pencils = Rs 20 per pencil * x pencils = 20x

Cost of erasers = Rs 4 per eraser * x eraser = 4x

40% profit was made on pencils, hence:

Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

50% profit was made on erasers, hence:

Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

Since the total profit from pencil and eraser was Rs 470, hence:

8x + 2x = 470

10x = 470

x = 47

Therefore he purchased 47 pencil

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!

Answer:

x= 44.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 27 = 20/x

x sin 27 = 20

x = 20 / sin 27

x= 44.05378529

Rounding to the nearest tenth

x= 44.1

Answer:

Rate of change = - 4  

Step-by-step explanation:

[tex]h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\[/tex]

Rate of change :

               [tex]= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4[/tex]

Answer:

y = (x - 2)² - 9    Vertex form

y = x² - 4x - 5   Standard form

Step-by-step explanation:

vertex = (h, k) = (2, -9)

Vertex form

y = a(x - h)² + k

y = a(x - 2)² - 9

find "a" using point (5, 0)

0 = a(5 - 2)² - 9

0 = a(3)² - 9

0 = 9a - 9

9 = 9a

a = 1

y = (x - 2)² - 9

Standard form

y = (x² - 4x + 4)  - 9

y = x² - 4x - 5

Answer:

12

Step-by-step explanation:

Answer:

12............................

Step-by-step explanation:

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

Answer:

4x -51

Step-by-step explanation:

m(x) = 4x - 11

n(x) = x - 10

m[n(x)] =  Replace n(x) for x in the function m(x)

             = 4 (x-10) - 11

              = 4x - 40 -11

              = 4x -51

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

Answer:

no

Step-by-step explanation:

The input of 13 goes to two different outputs

To be a function each input can only go to one output

This is not a function

Answer:

35 yards

Step-by-step explanation:

The formula for an area of a trapezium or trapezoid is h(a+b)/2. H is the height, and a and b are the the two opposite sides. With substitution, we get 5(6+8)2 = 70/2 = 35

Answer:

35 yd²

Step-by-step explanation:

First, you need to find the remaining side:

You need to find the bottom side of the triangle: 8-6=2 yd

Let's calculate the area of the triangle:

[tex]\frac{5*2}{2} =5[/tex] yd²

Let's calculate the area of the rectangle:

6*5 = 30 yd²

Total area: 30+5 = 35 yd²

Answer:

$165

Step-by-step explanation:

10%=$15

Answer:

Gail going to pay $165 for his new camera.

Step-by-step explanation:

10% Sales tax+Camera Price=$165

Answers:

[tex]x = 5\sqrt{3}[/tex]

[tex]y = 10[/tex]

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

Explanation:

This is a 30-60-90 triangle. The short leg 5 is opposite the smallest angle 30 degrees.

The long leg is sqrt(3) times that of the short leg, which explains why x = 5*sqrt(3).

The hypotenuse is twice as long compared the short leg, so y = 2*5 = 10.

You could use trig ratios and the unit circle as another way to find x and y.

Answer:

20023002

Step-by-step explanation:

becease i nee d answers please ignore

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

[tex] \large \boxed{m_1 = m_2}[/tex]

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

Answer:

Mistakes:

Used addition

Didn't flip inequality form

Corrections:

Divide each term

Instead of a positive value it should be negative

flip the direction of the inequality form

Step-by-step explanation:

[tex] - 9x \div - 9 \leqslant 90 \div – 9 [/tex]

cancel the common factor

[tex] \times \leqslant 90 \div - 9[/tex]

Divide 90 by – 9

Answer is:

[tex] \times \leqslant - 10[/tex]

Hope this helps!