Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

Answer:

The first option you have selected should be correct. if any doubt comment.

Answer:

you will half the recipe, so

50g flour

30g sugar

25g margarine

20g chocolate chips

1 egg

then add together. recipe for 15 cookies will be;

150g flour

90g sugar

75g margarine

60gr chocolate chips

3 eggs

Answer:

i think the details given for the question is in sufficient or question is wrong

Answer: Choice C

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

Explanation:

Recall that the form

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

can be abbreviated to

[tex]z = r*\text{cis}(\theta)[/tex]

The "cis" stands for the first letters of "cosine i sine" in that order.

The original fairly messy quotient can be shortened down to

[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]

We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.

-------------------------------

Now we'll use this rule to divide two complex numbers

[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]

As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.

-------------------------------

Let's apply that idea to what your teacher gave you

[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]

That last step then converts directly to the expression shown in choice C.

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

Answer:

315

425 + -115 = 315 feet

Step-by-step explanation:

Answer:

The balloon will be at an elevation of 315 feet.

Step-by-step explanation:

425-110=315

Answer: (0.03)(-0.02) = -0.0006

Step-by-step explanation:

Step 1: Remove the Parenthesis

(0.03)(-0.02) → 0.03 ⋅ 0.02

Step 2: Multiply

0.03 ⋅ 0.02 = -0.0006

,  Hope this helps :)

Have a great day!!

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15

2

f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

Answer:

1

Step-by-step explanation:

x - 5 = -2( x + 1 )

=> x - 5 = -2x - 2

=> x + 2x = 5 - 2

=> 3x = 3

∴ x = 1

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

Answer:

(4x^{(6)})^{(\frac{(3)}{(2)})}

(4x(6))((2)(3))

Step-by-step explanation:

I think that's the answer

Answer:

Step-by-step explanation:

Answer:

k = - [tex]\frac{16}{15}[/tex]

Step-by-step explanation:

Since x = - 2 is a zero , then p(- 2) = 0 , that is

2(- 2)² - 3(- 2)(5k + 4) = 0

2(4) + 6(5k + 4) = 0 ← distribute parenthesis

8 + 30k + 24 = 0

30k + 32 = 0 ( subtract 32 from both sides )

30k = - 32 ( divide both sides by 30 )

k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]

Given Polynomial P(x) = 2x^2-3x(5k+4)

Zero = -2

We know that

If -2 is zero of the Polynomial then it satisfies the given Polynomial

⇛P(-2) = 0

⇛ 2(-2)^2-3(-2)(5k+4)=0

⇛ 2(4)+6(5k+4) = 0

⇛ 8+30k+24 = 0

⇛ 30k+32 = 0

⇛ 30 k = -32

⇛ k = -32/30

⇛ k = -16/15

Answer:- The value of k = -16/15.

Read more:

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Answer:

Im not sure

Step-by-step explanation:

Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

1+1=2  

1+1−52=2−52

(1+1−52)2=(2−52)2

(1+1−52)2=22−10+(52)2

(1+1−52)2=4−10+(52)2

(1+1−52)2=9–15+(52)2

(1+1−52)2=32–15+(52)2

(1+1−52)2=(3−52)2

1+1−52=3−52

1+1=3

Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

Answer:

I think g would be correct

Answer: 6 1/3

Step-by-step explanation:

4x-14 = -2x+24

4x = -2x+24 + 14  [Add 14 to both sides]

4x + 2x = 24 + 14  [Add 2x to both sides]

6x = 38                 {Combine like terms]

 x  = (19/3) or 6 1/3

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:

1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)

2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)

3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)

4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)

This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

I hope I've helped! :)

Answer:

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

Answer:

probably 2.................

Answer: f(x) = (x −8)2

Step-by-step explanation:

4a(a - b) + 3b(b - a)

= 4a² - 4ab + 3b² - 3ab

= 4a² - 4ab - 3ab + 3b²

= 4a² - 7ab + 3b²

= (a - b) (4a - 3b)

________

Hope it helps ⚜

3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.

a. What is the height of the higher ski slope to the nearest metre?

Answer:

B

Step-by-step explanation:

A. 2L, 2.9L, 2.5L, 2.4L

B. 2L, 2.4L, 2.5L, 2.9L

C. 2.9L, 2.5L, 2L, 2.4L

D. 2.9L, 2L, 2.5L, 2.4L

Answer:

what is in order from least to greatest is B

Step-by-step explanation:

as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)

[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]

Answer:

?????????

Step-by-step explanation:

What are u asking

Answer:

  33. $5.75

  34. 15 ft

  35. 8

  36. 32

Step-by-step explanation:

These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.

__

You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...

The given relations have to do with the prices of different quantities of these:

  2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes

  4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes

These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).

  2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)

  4y = 23.00 . . . . . . simplify

  y = 5.75 . . . . . . . . . divide both sides by 4

The cost of an ice cream sundae is $5.75.

We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.

__

There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.

Volume of a cone of radius r and height h: V = 1/3πr²h

Volume of a cylinder of radius r and height h: V = πr²h

It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.

The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.

  V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³

  V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit

  400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000

  x = 2000(3/400) = 15 . . . . multiply by 3/400

The height of the top portion is 15 feet.

__

This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.

We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.

The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:

  |g(-6)| = |-8| = 8 = |g(a)|

__

This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.

Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...

  96x²/(ax) = 3x

Multiplying by ax gives ...

  96x² = 3ax²

Dividing by 3x², we see that ...

  (96x²)/(3x²) = (3ax²)/(3x²)

  96/3 = a = 32

The value of 'a' is 32.