What is the common difference for the sequence shown below? (1 point)
(-1,2)
(3.4)
(1.3)
O2

Answer:

- 1,503,050

Step-by-step explanation:

Given that the sum of arithmetic sequence =

n/2[2a + (n-1)d]

Where;

n = 575

a = -4910

d = a i - a i-1  = 8

Substituting values;

575/2 [2(-4910) + (575 -1) 8]

575/2  [(-9820) + 4592]

=  - 1,503,050

Answer:

A- (-2,-2)

Step-by-step explanation:

If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).

Hope this helped.

Answer:

See answers below

Step-by-step explanation:

Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *

a) Note that 1000g = 1kg

8250g = x

1000 * x = 8250

1000x = 8250

x = 8250/1000

x = 8.25kg

b) 10 3/4 l to ml

1l = 0.001ml

10 3/4 l  = x

Cross multiply

1 * x = 10 3/4 * 0.001

x = 43/4 * 0.001

x = 0.043/4

x = 0.01075ml

c) 6m 5cm to cm

Since 1m = 100cm

6m 5cm

= 6(100) + 5

= 600 + 5

= 605cm

d) 600km 50m to m

1000m = 1km

x = 9km

x  = 9000m

600kn 50m

= 9000m + 50m

= 9050m

Answer:

Pretty sure it's 20.24.

Step-by-step explanation:

Since you know the side adjacent to the reference angle and you want to find the side opposite, you're going to need to use tangent, which is opp/adj.

tan(39) = [tex]\frac{x}{25}[/tex]

Find the tangent of 39...

0.8097 is the approximate value. So...

0.8097 = [tex]\frac{x}{25}[/tex]

Now, switch the sides to make it easier.

[tex]\frac{x}{25}[/tex] = 0.8097

Multiply both sides by 25.

x = 20.24

Answer:

73.67

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2

Answer:

x > 3

Step-by-step explanation:

Simply isolate the inequality to get a equivalent inequality. Treat the sign > like an equal sign, what you do to one side, you do to the other side of the inequality.

Isolate the variable, x. Divide 2 from both sides of the equation:

(2x)/2 > (6)/2

x > 6/2

x > 3

x > 3 is your equivalent inequality.

~

Answer:

Cells we are made of Stem cells

Red blood cells

White blood cells

Step-by-step explanation:

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that

Answer:

Complementary

x = 55

Step-by-step explanation:

Complementary angles add up to 90°, while supplementary angles add up to 180°.

In this situation, the two angles add up to 90° (the little box means that an angle is a 90° angle) So, the angles are complementary.

Now, we can write this equation.

x + x - 20 = 90

Simplify.

2x - 20 = 90

2x = 110

x = 55

Just in case, let's check the answer.

Substitute x = 55 into (x + x - 20 = 90)

55 + 55 - 20 = 90

110 - 20 = 90

90 = 90

This is true, so x = 55 is correct.

I hope this helps! Feel free to ask any questions!

Answer:

hewo

Step-by-step explanation:

i dont know- probably bc they don't want to

Answer:

180

or if your looking for math books then

48

Step-by-step explanation:

36+62=98

98+34=132

180-132=48

Answer:

180

Step-by-step explanation:

Answer:

60,000

Step-by-step explanation:

I may be wrong hope not.

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given

[tex]-x + 1 = -4[/tex]

[tex]-x = -5[/tex]

Required

State which property is used

The word that describes the operation is; subtraction property of equality.

This property states that:

if [tex]x = y[/tex] then

[tex]x - a = y - a[/tex]

So, for the given  equation:

[tex]-x + 1 = -4[/tex]

When the subtraction property of equality is applied

[tex]-x + 1 - 1 = -4 - 1[/tex]

[tex]-x = -5[/tex]

So:

(a) Subtraction Property of Equality is correct

Answer:

Step-by-step explanation:

it's 3     hmmm it tells you rise over run.. just about where they are asking for the answer.. what do you not get about the question?  

Answer:

-4

Step-by-step explanation:

Use the formula y2-y1/x2-x1 to find the answer to a slope next time! :D

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

Answer:

The answer is 90 degrees.

Step-by-step explanation:

If you want an explination, I'm more than happy to explain.

Answer:x=90

Step-by-step explanation:

90

Answer:

13 hours

Step-by-step explanation:

148.5/18=8.25

107.25/8.25=13

Answer:

Height of the fighter plane =1.5km=1500 m

Speed of the fighter plane, v=720km/h=200 m/s

Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

Muzzle velocity of the gun, u=600 m/s

Time taken by the shell to hit the plane =t

Horizontal distance travelled by the shell =u

x

t

Distance travelled by the plane =vt

The shell hits the plane. Hence, these two distances must be equal.

u

x

t=vt

u Sin θ=v

Sin θ=v/u

=200/600=1/3=0.33

θ=Sin

−1

(0.33)=19.50

In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.

H

max

=u

2

sin

2

(90−θ)/2g=600

2

/(2×10)=16km

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

9514 1404 393

Answer:

Step-by-step explanation:

The general steps are ...

It is generally convenient to put the variable terms on the side of the equation having the largest (most positive) variable term. You do the rearranging by subtracting the terms you don't want. Any operation is performed on both sides of the equation.

__

1) 3x + 7 = 4x

We observe the largest x-term is on the right, and the only constant term is on the left. We can subtract the x-term 3x to eliminate it from the left side

  3x +7 -3x = 4x -3x

Combining like terms gives ...

  7 = x . . . . . this is the solution

__

2) x +2 +2x = x + 10

We observe x-terms and constants on both sides of the equation. First of all, we will combine like terms.

  3x +2 = x +10

The largest x-term is on the left, so we choose to subtract x (the x-term on the right)

  3x -x +2 = x -x +10

  2x +2 = 10

We don't want the constant on the left, so we subtract 2.

  2x +2 -2 = 10 -2

  2x = 8 . . . . . . . . . . combine like terms

Now, we divide by the coefficient of x.

  2x/2 = 8/2

  x = 4 . . . . . . the solution

__

3) x +3x = x + x + 10

  4x = 2x +10 . . . . . . . combine like terms

  2x = 10 . . . . . . . . . . . subtract 2x

  x = 5 . . . . . . . . . . . . . divide by 2

__

4) 2x +3 + 3x = x + 11

  5x +3 = x +11 . . . . . . . . combine like terms

  4x +3 = 11 . . . . . . . . . . . subtract x

  4x = 8 . . . . . . . . . . . . . . subtract 3

  x = 2 . . . . . . . . . . . . . . .divide by 4

_____

Learn to identify and combine like terms. Use addition or subtraction to eliminate terms you don't want. Use multiplication or division to eliminate coefficients you don't want. Whatever you do to one side of the equation must also be done to the other side of the equation. (In the above, we use "subtract ..." to mean "subtract ... from both sides of the equation," for example.)

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

Answer:

17/6

Step-by-step explanation:

We know that,

perimeter of rectangle=2(l+b)

or,50=2(2x+x+4)

or,50=2(3x+4)

or,25=6x+8

or,17=6x

•x=17/6

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/n-(8/7)=0

Step by step solution :

STEP 1:

           8

Simplify   —

           7

The equation at the end of step

1:

 7    8

 — -  —  = 0

 n    7

STEP 2:

           7

Simplify   —

           n

The equation at the end of step

2:

 7    8

 — -  —  = 0

 n    7

STEP 3:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       n

     The right denominator is :       7

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 0 1 1

Product of all

Prime Factors  1 7 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

n  1 0 1

     Least Common Multiple:

     7n

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 7

  Right_M = L.C.M / R_Deno = n

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • 7

  ——————————————————  =   —————

        L.C.M              7n  

  R. Mult. • R. Num.      8 • n

  ——————————————————  =   —————

        L.C.M              7n  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 7 - (8 • n)     49 - 8n

———————————————  =  ———————

      7n              7n  

The equation at the end of step

3

:

 49 - 8n

 ———————  = 0

   7n  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.

Here's how:

 49-8n

 ————— • 7n = 0 • 7n

  7n  

Now, on the left-hand side, the  7n  cancels out the denominator, while, on the right-hand side, zero times anything is still zero.

The equation now takes the shape :

  49-8n  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -8n+49 = 0

Subtract  49  from both sides of the equation :

                     -8n = -49

Multiply both sides of the equation by (-1) :  8n = 49

Divide both sides of the equation by 8:

                    n = 49/8 = 6.125

One solution was found :

n = 49/8 = 6.125

Step-by-step explanation:

hope this helps...

The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

We have been given an equation [tex](7^2)^4=n^8[/tex]

Consider an algebraic expression on the left side of the above equation.

[tex](7^2)^4[/tex]

Using the properties of exponents we can write it as,

[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]

So, given equation becomes,

[tex]7^8=n^8[/tex]

Since power is same, base of above exponents is equal.

⇒ n = 7

Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

Learn more about the exponents here:

https://brainly.com/question/12158740

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