Find the sum of the first six terms of the Geometric Progression (G.P.):
2
1, 2, 4, ....​

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3\times3\times3\times3\times3}\\\\\mathsf{3\times3=\bf9}\\\\\mathsf{9\times9\times3}\\\\\mathsf{9\times9=\bf81}\\\\\mathsf{81\times3=\bf result}\\\\\mathsf{= \bf \underline{243}}\large\checkmark[/tex]

[tex]\text{Option A. }\downarrow\\\mathsf{3^5}\\\\\mathsf{3^5= 3\times3\times3\times3\times3}\\\\\mathsf{3\times3\times3\times3\times3}\\\\\mathsf{3\times3 = 9}\\\\\mathsf{9\times9\times3}\\\\\mathsf{9\times9 = 81}\\\\\mathsf{81\times3= 243}\\\\\large\text{\bold{Option A.} could possibly be your \bf ANSWER}\huge\checkmark[/tex]

[tex]\text{Option B. }\downarrow\\\mathsf{3^4\times5}\\\mathsf{3^4 = 3\times3\times3\times3}\\\\\mathsf{3\times3\times3\times3}\\\\\mathsf{3\times3=9}\\\\\mathsf{9\times9= 81}\\\\\mathsf{81\times3=243}\\\\\large\text{Option B. could possibly be your \bf ANSWER}\huge\checkmark[/tex]

[tex]\text{Option C. }\downarrow\\\mathsf{3\times5}\\\\\maths{3+3+3+3+3}\\\\\mathsf{3+3=6}\\\\\mathsf{6+6+3}\\\\\mathsf{6+6=12}\\\\\mathsf{12+3=15}\\\\\mathsf{15\neq243}\\\\\large\text{Option C is NOT your ANSWER}[/tex]

[tex]\text{Option D.}\downarrow\\\mathsf{5^3}\\\\\mathsf{5^3=5\times5\times5}\\\\\mathsf{5\times5\times5}\\\\\mathsf{5\times5=25}\\\\\mathsf{25\times5 = 125}\\\\\mathsf{125\neq243}\\\\\large\text{Option D. is NOT your ANSWER}[/tex]

[tex]\boxed{\boxed{\large\text{Answers: \boxed{\boxed{\mathsf{\bf{Option\ A.)\ 3^5 \ \& \ Option\ B.)\ 3^4 \times 3}}}}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A) 3^5 B) 3^4*3

Step-by-step explanation:

Given:

The relation is:

(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)

To find:

The slope and y-intercept for the given relation.

Solution:

Consider any two points from the given relation.

Let the two points are (0,7) and (1,9). So, the slope of the given relation is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{9-7}{1-0}[/tex]

[tex]m=\dfrac{2}{1}[/tex]

[tex]m=2[/tex]

The slope of the given relation is 2.

A point of relation is (0,7). It means the value of relation is 7 at x=0.

So, the y-intercept is 7.

Therefore, the correct option is D.

Answer: 18.25

Step-by-step explanation:

The arrow reaches its highest point at the y-value of the turning point. Thus, we need to find the maximum quadratic function.

-16x^2+20x+12

We know that the maximum( or minimum) of a parabola is reached at x= -b/(2a)= -20/ 2(-16)= 18.25

Showing that the object will reach a maximum height of 18.25 feet

Answer:

The value of 1 is tens =) i hope i help u

Answer:

its 25 percent

Step-by-step explanation:

want an explanation cuz im happy to give you 1

Answer:

61-4-2. (3t-a)(at+1) f. 6x2 - 17x+10. 16x-5X(x-2) e x-2x*-*+2 x2{x-2)-1(x-2). (x-2)(x2_1). (x-2)x+1)(x-) hi ** +5x2 +6 ... Leave your answers in simplest radical form if needed. ... 4. Let 'n(x)=x2-Ox and g(x)=2x-7. Find all values of x, for which h(x) = g(x) ... p=2 4p=8. (x+6*=8(y+3) x+6X+36=8Y+24. X*+6x +12= By gx+x+1=Y. 13.

Step-by-step explanation:

Answer: yes with what

Step-by-step explanation:

Answer:

(b) and (c) are true

Step-by-step explanation:

Given

Function A and B

First, calculate the slope of A

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{24 - -21}{8- -7}[/tex]

[tex]m = \frac{45}{15}[/tex]

[tex]m =3[/tex]

The equation of function A is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 3(x - 8) + 24[/tex]

[tex]y = 3x - 24 + 24[/tex]

[tex]y = 3x[/tex]

The general form of a function is:

[tex]y = mx + b[/tex]

Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]

This implies that:

[tex]Slope = 3[/tex]

[tex]Y\ intercept = 0[/tex]

For function B:

[tex]y = 4x - 3[/tex]

[tex]Slope = 4[/tex]

[tex]Y\ intercept = -3[/tex]

By comparison:

(b) and (c) are true

Answer:

the radius is 9 and the diameter is 18

Step-by-step explanation:

12 months with $60 every 3 months is $240

then add $28 "per month after that"

Answer:

C

Step-by-step explanation:

The value of x is equal to 9

1️⃣Remove parentheses

6a+6+3x-2+2a+4

2️⃣Collect like terms

(6a+2a)+(6-2+4)+3x

3️⃣Simplify

8a+8+3x

Answer: 8a+8+3x

1️⃣Remove parentheses.

-2z-3+4c+6y+y+3c

2️⃣Collect like terms.

-2z-3+(4c+3c)+(6y+y)

3️⃣Simplify

-2z-3+7c+7y

Answer: -2z-3+7c+7y

1️⃣Subtracting (7.8 - 5.1t) from (2.8 - 3.2t)  

(2.8 - 3.2t) - (7.8 - 5.1t)  

2️⃣Remove the parentheses.  

2.8 - 3.2t - 7.8 + 5.1t  

= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)  

3️⃣Subtracting the like terms, will give:

1.9t - 5  

4️⃣Recall  

(2.8 - 3.2t) - (7.8 - 5.1t).  

(-3.2t + 2.8) - (-5.1t + 7.8)

Answer:

a. (-3.2t + 2.8) - (-5.1t + 7.8)  

b. 1.9t - 5  

c. (-3.2t + 2.8) - (-5.1t + 7.8)

1️⃣Simplify

1/2p-(1/4p-4)

2️⃣Simplify

p2-(p/4-4)

3️⃣Simplify

p2-p/4+4

4️⃣Combine Terms

(p/2-p/4)+4

5️⃣Combine Terms

p/4+4

Answer: p/4+4

Done ✔

1.2297528e+18

There ya go

Answer:

Hii, the answer B. 46

Step-by-step explanation:

x+ 53 = 99

So to find what x equals we just do simple subtraction

99 - 53 = 46

so x = 46

Hope this helps!

Answer:

Undefined

Step-by-step explanation:

Answer:

you cant divide by 0

Step-by-step explanation:

no solution

9514 1404 393

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr³

When you have several of these calculations to do, it is convenient to let a graphing calculator or spreadsheet do them. A spreadsheet can do the rounding for you, too. The results are attached. The units are the cube of the units of the radius.

Example calculation:

  (4) Radius = diameter/2 = 13.5 cm/2 = 6.75 cm

  V = (4/3)π(6.75 cm)³ = 4.18879 × 307.547 cm³ = 1288.2 cm³

Note that the constant (4/3)π ≈ 4.18879 remains the same for each calculation. All you need to do is multiply that by the cube of the radius.

Answer:

12 units

Step-by-step explanation:

Draw a number line and mark x = -10 and x = 2.  You can readily see that the distance from -10 to the origin is 10 units, and from the origin to 2 is 2 units, in both cases measured from left to right.  Adding these two positive quantities together, we get 10 + 2, or 12.

The distance from -10 to 2 on the number line is 12 units.

Given:

Initial profit = $100,000

Increasing rate of profit = 1.2%

To find:

The function that shows the company's profit as a function of time in years.

Solution:

The exponential growth model is defined as:

[tex]f(t)=a(1+r)^t[/tex]

Where, a is the initial value, b is the growth rate and t is the time period.

Putting a=100,000 and r=0.012, we get

[tex]f(t)=100,000(1+0.012)^t[/tex]

Where, t is the number of years.

Therefore, the correct option is c.

Answer:

y= 10x + 4

Step-by-step explanation:

-10x + y = 4

-10x + y +10x = 10x + 4

y= 10x + 4

depending on what its asking usually this is what its asking for but im not sure exaclty what its asking so here.....

next step is to plug the numbers in

so for the first box it says that x is -2

plug it in.....

y = 10(-2) + 4

y = -20 + 4

y = -16

then keep doing it for the next boxes.....

second box:

y = 10(-1) + 4

y = -10 + 4

y = -6

third box:

y = 10(0) + 4

y= 4 because 10 times zero is zero (basically any number times 0 is zero)

fourth box:

y = 10(1) + 4

y = 10 + 4

y = 14

fifth box:

y = 10(2) + 4

y = 20 + 4

y = 24

Hope this helps!

*srry in advance if its wrong

Answer:

Step-by-step explanation:

[tex]3x^4-4y^4\\=(\sqrt{3}x^2)^2-(2y^2)^2)\\=(\sqrt{3}x^2+2y^2)(\sqrt{3}x^2-2y^2)\\=(\sqrt{3} x^{2} +2y^{2} )((3^{\frac{1}{4} } x)^2-(\sqrt{2} y)^{2} )\\=(\sqrt{3} x^{2} +2y^{2} )(3^{\frac{1}{4} } x+\sqrt{2} y)(3^{\frac{1}{4} } x-\sqrt{2} y)[/tex]

D  I am not 100% sure, If I am wrong sorry

Answer:

25/14

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

each consecutive term is divided by 2

We are given r(x) and c(x).

p(x) = 8x - (3x + 12)

p(x) = 8x - 3x - 12

p(x) = 5x - 12

Done.

Answer:the slope is 3 and the y intercept is -4

Step-by-step explanation:

Answer:

(5,3)

Step-by-step explanation: