What must be true in order to find a sum for an infinite geometric series?​

Answer:

Step-by-step explanation:

E : -5 , -3

F:    2 , -7

Distance = sqrt(  ( 2 -(-5)) * ( 2 -(-5)) + (-7 -( -3)) *(-7 -( -3))  )= sqrt ( 49 + 16 ) = sqrt (65)

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

Amplitude of  f(x)=5cosx

= 5

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.

It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.

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Answer:

-4/2

Step-by-step explanation:

rise over run

goes down -4 "rises"

moves over 2 runs

Answer:

10 square inches per second.

Step-by-step explanation:

The radius of the circle is given by the equation:

r(t) = (1/π  in/s)*t

Where time in seconds.

Remember that the area of a circle of radius R is written as:

A = π*R^2

Then the area of our circle will be:

A(t) = π*( (1/π  in/s)*t)^2 = π*(1/π  in/s)^2*(t)^2

Now we want to find the rate of change (the first derivation of the area) when the radius is equal to 5 inches.

Then the first thing we need to do is find the value of t such that the radius is equal to 5 inches.

r(t) = 5 in =  (1/  in/s)*t

       5in*(π s/in) = t

        5*π s = t

So the radius will be equal to 5 inches after 5*π seconds, let's remember that.

Now let's find the first derivate of A(t)

dA(t)/dt = A'(t) = 2*(π*(1/π  in/s)^2*t = (2*π*t)*(1/π  in/s)^2

Now we need to evaluate this in the time such that the radius is equal to 5 inches, we will get:

A'(5*π s) = (2*π*5*π s)*((1/π  in/s)^2

              = (10*π^2  s)*(1/π^2  in^2/s^2) = 10 in^2/s

The rate of change is 10 square inches per second.

Answer:

v = 51.19 mph

Step-by-step explanation:

The diameter of the tires, d = 43 inches

The angular velocity of the wheels = 400 revolutions per minute

400 revolutions per minute = (400/60) rev/s = 6.67 rev/s

The circumference of the tire is :

C = 2πr

= 2π×21.5

= 135.08 inches

The speed of the truck is given by :

[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]

or

v = 51.19 mph

So, the speed of the truck is equal to 51.19 mph.

Answer:

$393.75

Step-by-step explanation:

cost of special background paint = $1.25 per square foot

Area of background = area of triangle + area of rectangle

                                  = 1/2 ( b*h)  +  L * B

                                  = 1/2 ( 5 * 6 ) + 5 * 4  = 15 + 20 = 35 yd^2

Given that  1 yd^2 = 9 ft^2

                 35 yd^2 = ( 9 * 35 ) ft^2  

Hence area of background = 315 ft^2

Cost = 315 * 1.25 = $393.75

Answer:

C

Step-by-step explanation:

Answer:

C. 1/10

Step-by-step explanation:

Answer:$52.60

Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.

Answer:

17 bags is correct

Step-by-step explanation:

12 / 75 is equal to 17.14

Answer: 7/8

Step-by-step explanation:

There are 8 tickmarks on the number line, each representing 1/8.

So, the question mark represents 7/8 (since it is one tickmark to the left of 1)

Answer:

32778

Step-by-step explanation:

76543-43765=32778

Step-by-step explanation:

[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]

Gimme tha cookie

The price that bidder pays to Christie's is $2130.4.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

Given that,

The price for which painting is sold is $24,500.

The percentage of premium price of the final bid is 15%.

Suppose the price paid by the bidder be x.

Then, as per the question the following equation can be written for the price of painting,

x + 15% of x = 24500

=> x + (15/100)x = 24500

=> 115x/100 = 24500

=> x = (24500 × 100) ÷ 115

=> x = 2130.43

Hence, the amount paid to Christie's is $2130.4.

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Answer:

2

degree is highest exponent in equation and 2x² has 2 and is highest

Answer:

C) 71

Step-by-step explanation:

To find the mean you must first add all the numbers:

68 + 70 + 76 + 71 + 70 = 355.

After that you divide the number you got by how many numbers are in the set.

There are five players so we divide the number by 5

355/5 = 71

Therefore, it is 71.

Answer:

X=17

Step-by-step explanation:

7x-1+5x-23=180

12x-24=180

12x=204

x=17

Answer:

-2 - 7 i

Srry If Im wrng but Hope this helped :)

Answer:

It is -2-7i

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

It is not linear

Step-by-step explanation:

If you plug that function into Desmos graphing Calculator, you can see there are two leparate lines and they are not straight.

Answer:

8 pepper plants were sold.

Step-by-step explanation:

Assuming [tex]x=[/tex] the number of pepper plants sold, she sold [tex]7x[/tex] tomato plants and [tex]x[/tex] pepper plants, and since tomato plants sold + pepper plants sold = 64, we can turn this into the equation [tex]7x+x=64[/tex]. To solve this first we combine like terms to get [tex]8x=64[/tex]. Cancel the 8 by dividing both sides by 8 and we get [tex]x=8[/tex], which is the number of pepper plants sold. (We could also multiply x by 7 to get the number of tomato plants sold, which is 56.) Hope this helps!

Answer:

The answer is $27

Step-by-step explanation:

This answer is pretty simple. All you have to do is multiply 35.99 x 0.25. This will get you the numeral 8.99... That is the discount. Next you will take the total amount and subtract it with the discount.

35.99 - 8.99 = 27

That is the sale price of the jacket.

I hope this answer helped you in some way. I would really appreciate it if you could check out my channel The Game Rater or soon to be Nitro Studios (based on when you see this). Anyways, I still thank you for reading this side note and it is completely up to you if you want to check out my channel. Thank you.

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

Answer:

B

Step-by-step explanation: