[Supporting Standard: I can find the sum of an infinite series.]
4. Find the sum of the following series: 600 + 150 + 37.5 ...

Answer:

x=1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

8/126 = 1/27. 1/27 is a cube because 1/3 can be multiplied by itself three times to get it.

Answer:

6x-3=9

Step-by-step explanation:

i dont really get what it means by set up an equation but heres what i know-

36 is the perimeter so divide it by 4 to get the length of each side-

36/4=9

now you know that each side is 9, so 6x-3=9

when you solve that, x=2

Answer:

should be the second one 75 + 20x <55 +44x

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.

Answer:

The answer is "156".

Step-by-step explanation:

According to the question, the 144 square root equals 12. The 169 square root equals 13, and by extending the estimated price of blackness, only at the nearest entry, has been a little or less halfway between both the 144 square root and the 169 square root estimated, at 156 square root, that's why 156 is the correct answer.

Answer:

x=3

HI=18

Step-by-step explanation:

Equations

Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:

GI = GH + HI

Every segment is given as an expression with variable x:

[tex]HI=6x[/tex]

[tex]GH=x^2+5x[/tex]

[tex]GI=7x+21[/tex]

Substituting:

[tex]7x+21=x^2+5x+6x[/tex]

Moving everything to the right side:

[tex]0=x^2+5x+6x-7x-21[/tex]

Swapping sides and simplifying:

[tex]x^2+4x-21=0[/tex]

Factoring:

[tex](x+7)(x-3)=0[/tex]

Solving, we have two possible solutions:

x=-7, x=3

The negative solution is discarded because it would result in negative lengths. Thus the solution is

x=3

Determine the length of HI:

HI=6x=6*3=18

HI=18

Answer:

b

Step-by-step explanation:

Answer:

9 students

Step-by-step explanation:

Let x be the number of students taking only Physics and Chemistry

Number of students :

All 3 sciences = 9

Only physics = 12

Both Physics and Biology( without Chem ) = 24 -9 = 15

15+ 9 + 12+x = 45 , since Physics is compulsory

36 + x = 45

x = 45 - 36

x = 9

Hope it helps :)

Answer:

9

Step-by-step explanation:

Answer:

x = 12 and y = 24 Can I get brainiiest

Step-by-step explanation:

We know (3x + 34) and (2x + 46) are vertical to each other so they equal the same measure. We will solve it like this.

3x + 34 = 2x + 46 (subtract 34 on each side)

3x = 2x + 12 (subtract 2x on both sides)

x = 12

Now plug in

3(12) + 34 = 2(12) + 46

36 + 34 = 24 + 46

70 = 70

Now all you have to do is do the other pair of angle

4y + 14 + 70 = 180 (we are using what we already know about 70)

(collect like terms)

4y + 84 = 180 (subtract 84 on both sides)

4y = 76 (divide by 4)

y = 24

(plug in)

4(24) + 14 = 6(24) - 34

96 + 14 = 144 - 34

110 = 110

Answer:

with 2 sides, we can assume that the 25 inch side is the hypotenuse.

7^2 + 25^2 = 49 + 625 = 674

674 is NOT a perfect square so we'll make the 25 side as the hypotenuse.

7^2 +n^2  = 625

n^2 = 625 - 49

n^2 = 576

square root (576) = 24

So the 3 sides are

7   24   and 25

Step-by-step explanation:

Answer:

x= 36

Step-by-step explanation:

28+7+2= 37

37= x+1

37-1= 36

x= 36

Answer:

x = 36

Step-by-step explanation:

28 + 7 + 2 = x + 1

x + 1 = 28 + 7 + 2

x + 1 = 37

x = 37 - 1

x = 36

I hope this helped!

Answer:

c 16

Step-by-step explanation:

Answer:

x equals 3

Step-by-step explanation:

hope this helps

Answer:

640

Step-by-step explanation:

405-45= 360

360+280=640

Answer:

Step-by-step explanation:

Given

The ratio of the tagged deer vs total

Solving by cross-multiplication

So there are about 2520 deer in the forest

Answer:

9 in. i think

Step-by-step explanation:

Answer:

x=4

m<12 = 66

Step-by-step explanation:

Answer:

x = 4

m∠12 = 66

m∠13 and m∠12 are linear pairs (supplementry angles)

Step-by-step explanation:

m∠9 ≈ m∠15 (Vertical angle)

m∠15 ≈ m∠13 (Corresponding angle)

m∠9 ≈ m∠13

29x - 2 = 27x + 6

2x - 2 = 6

2x = 8

x = 4

m∠13 = 29(4) - 2

m∠13 = 114

m∠13 + m∠12 = 180

180 - m∠13 = m∠12

180 - 114 = 66

m∠12 = 66

Answer:

if 1293 is ounces, 80.8125 would be lbs !!

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

Answer:it is c

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

0=0, Infinite solutions

Step-by-step explanation:

For an answer to have an infinite solution, the two equations when you solve will equal 0=0. Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

If this was helpful please give brainliest, have a great day!

x=2

x=10

Woulld really appriciate brainliest here is the steps below

1.1     Factoring  x2-12x+20  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +20  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 20 = 20  

Step-2 : Find two factors of  20  whose sum equals the coefficient of the middle term, which is   -12 .

     -20    +    -1    =    -21  

     -10    +    -2    =    -12    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  -2  

                    x2 - 10x - 2x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-10)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-10)

Step-5 : Add up the four terms of step 4 :

                   (x-2)  •  (x-10)

            Which is the desired factorization

Equation at the end of step

1

:

 (x - 2) • (x - 10)  = 0  

STEP

2

:

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x-2 = 0  

Add  2  to both sides of the equation :  

                     x = 2

Solving a Single Variable Equation:

2.3      Solve  :    x-10 = 0  

Add  10  to both sides of the equation :  

                     x = 10

Supplement : Solving Quadratic Equation Directly

Solving    x2-12x+20  = 0   directly  

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1      Find the Vertex of   y = x2-12x+20

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000  

Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 + 20.0

or   y = -16.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-12x+20

Axis of Symmetry (dashed)  {x}={ 6.00}  

Vertex at  {x,y} = { 6.00,-16.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = { 2.00, 0.00}  

Root 2 at  {x,y} = {10.00, 0.00}  

Solve Quadratic Equation by Completing The Square

3.2     Solving   x2-12x+20 = 0 by Completing The Square .

Subtract  20  from both side of the equation :

  x2-12x = -20

Now the clever bit: Take the coefficient of  x , which is  12 , divide by two, giving  6 , and finally square it giving  36  

Add  36  to both sides of the equation :

 On the right hand side we have :

  -20  +  36    or,  (-20/1)+(36/1)  

 The common denominator of the two fractions is  1   Adding  (-20/1)+(36/1)  gives  16/1  

 So adding to both sides we finally get :

  x2-12x+36 = 16

Adding  36  has completed the left hand side into a perfect square :

  x2-12x+36  =

  (x-6) • (x-6)  =

 (x-6)2

Things which are equal to the same thing are also equal to one another. Since

  x2-12x+36 = 16 and

  x2-12x+36 = (x-6)2

then, according to the law of transitivity,

  (x-6)2 = 16

We'll refer to this Equation as  Eq. #3.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-6)2   is

  (x-6)2/2 =

 (x-6)1 =

  x-6

Now, applying the Square Root Principle to  Eq. #3.2.1  we get:

  x-6 = √ 16

Add  6  to both sides to obtain:

  x = 6 + √ 16

Accordingly,  B2  -  4AC   =

                    144 - 80 =

                    64

Applying the quadratic formula :

              12 ± √ 64

  x  =    —————

                   2

Can  √ 64 be simplified ?

Yes!   The prime factorization of  64   is

  2•2•2•2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 64   =  √ 2•2•2•2•2•2   =2•2•2•√ 1   =

               ±  8 • √ 1   =

               ±  8

So now we are looking at:

          x  =  ( 12 ± 8) / 2

Two real solutions:

x =(12+√64)/2=6+4= 10.000

or:

x =(12-√64)/2=6-4= 2.000

x=10

x=2

Hope this helps Would also appriciate brainliest

Answer:

Step-by-step explanation:

On her map 1 inch is equal to 20 miles.

5x=100

divide both sides by 5

x=20

The Answer is:

5/18

Step-by-step explanation:

5/6 ÷ 3 = 5/18

Answer:

I would say c. you welcome for my so called help

Answer:

For 6 chairs, 72 screws and for 9 chairs, 108 screws.

Step-by-step explanation:

So, for every 2 chairs, he needs 24 screws.

By Unitary Method,

We get screws needed for one chair, that is, 24/2 = 12 screws for one chair.

So, for 6 chairs,

Similarly, for 9 chairs,

Answer:

The ratios to this would be:

[tex]\left[\begin{array}{ccc}2&24\\6&72\\9&108\end{array}\right][/tex]

Step-by-step explanation:

Ratios are similar to fractions, in some ways, ratios are to show the relation between two numbers, such like a proportion:

For example:

4:3

or the ratio of men' jobs to women's' is 8 to 1 (8:1)

In this case, it is said that:

Gary needs 24 screws for every 2 chairs.

The ratio of this is 24: 2

Also meaning:

[tex]\frac{24}{2}[/tex]

and [tex]2\sqrt{24}[/tex], the quotient is = 13

Now we multiply 12 to '6' and '9'

You will get:

12(6) = 72

12(9) = 108

This will be your answer.

Answer:

46.08 feet.

Step-by-step explanation:

Given that, for length, [tex]l[/tex] feet, the time period, [tex]f(l)[/tex], of the pendulum is

[tex]f(l)=2\pi\sqrt{\frac{l}{32}}[/tex].

As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given [tex]2.4\pi[/tex] seconds to swing back and forth is the time period.

Let [tex]l_0[/tex] feet be the length of the pendulum for the time period [tex]2.4\pi[/tex] seconds, so

[tex]f(l_0)=2.4\pi[/tex]

[tex]\Rightarrow 2\pi\sqrt{\frac{l_0}{32}}=2.4\pi[/tex]

[tex]\Rightarrow \sqrt{\frac{l_)}{32}}=1.2[/tex]

[tex]\Rightarrow \frac{l_0}{32}=(1.2)^2[/tex] [squaring on both the sides]

[tex]\Rightarrow l_0=1.44\times32[/tex]

[tex]\Rightarrow l_0=46.08[/tex]

Hence, the approximate length of a pendulum that takes [tex]2.4 \pi[/tex] seconds to swing back and forth is 46.08 feet.

Answer:

the answer is d on edge 2020

Step-by-step explanation:

Answer:

1<-4

Step-by-step explanation:

Answer:

-3 > -4 i believe i hope this helps!!

Step-by-step explanation:

Answer: 2

Step-by-step explanation: Because 2 makes the denominator 0, which makes the entire thing undefined

Answer:

4,000,000^0 your welcone

[tex]\frac{237}{100}[/tex]

Hi there !

2.37 = 237/100

Good luck !