i need help with #11!

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

Answer:

B=YZ/20A

Step-by-step explanation:

____________________________

 - We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

 - We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

 - We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

____________________________

Answer: can you please set this up differently?????

Step-by-step explanation:

Answer:

z>-4

Step-by-step explanation:

Answer:

z>4

Step-by-step explanation:

-2z-3<5

add 3 to 5: -2z < 8

divide by -2: z < -4

but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4

Answer:

Put the a with the b

Step-by-step explanation:

Answer:

no 5/3 is larger

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5/3 is a improper fraction, therefore it is bigger.

Answer:

6 hours

Step-by-step explanation:

( 7h + 5h)/2 =6h

ANSWER:

It would take them about 3 hours to paint the room together.

EXPLANATION:

The least common denominator of 7 and 5 would be 35, so if we set 7x+5x equal to 35, the answer rounds up to 3. (or 2.9 if rounded to the nearest tenth.)

Answer:

Step-by-step explanation:

16 divided by $3.50 = 4.5

Answer:

0.286 pounds

Step-by-step explanation:

one pound=$3.50

x pounds=$1.00

then

1/3.5=0.286 pounds

check:

0.285 pounds per dollar x $3.50=1 pound

Answer:

Uber: y = .25x + 3

Lyft: y = .75x

Step-by-step explanation:

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

Answer:

c

Step-by-step explanation:

it just is

Answer:

C

Step-by-step explanation:

It just is

Answer: Profit for first boy =  $14

Profit for second boy =  $21

Step-by-step explanation:

Given : Ratio of profits = 2:3

Let profit for one boy = 2x and for another boy = 3x

Since combined profit = $35

Then, 2x+3x= 35

⇒ 5x= 35

⇒ x= 7  [divide both sides by 5]

Profit for first boy = 2 (7)= $14

Profit for second boy = 3 (7)= $21

Answer:

7*(5)^0,5

Step-by-step explanation:

The value of number 7√5 in form of rational exponents will be 1561/1000.

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

The number is,

⇒ 7√5

Now,

Since, The number is,

⇒ 7√5

Solve as;

⇒ 7√5 = 7 × 2.23

           = 15.61

           = 1561/100

Thus, The value in rational exponents = 1561/1000

Learn more about the rational number visit:

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Answer:

you got to put them in order like you got to figure out witch one is smaller then u keep going until u figure out the bigest.....

Step-by-step explanation:

Answer:

15.5, 16 and 1/4, 16.60, 16.7, 16 and 3/4, and 16.83.

Step-by-step explanation:

Hope it helps!

Answer:

$303.24

Step-by-step explanation:

399.00x24%=95.76

399.00÷95.76=303.24

Answer:

associative

Step-by-step explanation:

Answer:

x = d/5 - $50

Step-by-step explanation:

Basiclly what this sentence is saying that the price d is equal to $250 + 5 prices of staying in a hotel for a night.

If we let "x" be the price per night then we can get the following..

d = $250 + 5x

5x = d - $250

[tex]x = \frac{d - 250}{5}[/tex]

x = d/5 - $50

Answer

L=20 A=7

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

Answer:

A

Step-by-step explanation:

Not much of a reason but thats what i g ot

Answer:

a

Step-by-step explanation:

Answer:

A.) y=x-2

Step-by-step explanation:

Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.

Answer: 540.00

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The second graph, which represents Table B, represents an exponential function.

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Let table A represents the first graph.

x: 0, -1, 1, 2, -2, 3, -3.

y: 0, -1, -1, -4, -4, -6, -6.

And table B represents the second graph.

x:-4, -3,-2.75, -2.  

y: 2, 4, 6, 10

To determine which graph represents an exponential function, we need to recall the properties of exponential functions. An exponential function is a function of the form y = a^x, where a is a constant greater than 0 and not equal to 1.

Looking at table A, we can see that the y-values do not appear to follow an exponential pattern. For example, the y-values for x = 1 and x = -1 are both -1, but the y-value for x = 2 is -4. This is not consistent with the pattern of an exponential function.

Looking at table B, we can see that the y-values do appear to follow an exponential pattern. The y-values increase rapidly as x increases, which is consistent with the pattern of an exponential function. To confirm this, we can calculate the ratio of consecutive y-values:

For x = -4 and x = -3, y increases by a factor of 4/2 = 2.

For x = -3 and x = -2.75, y increases by a factor of 6/4 = 1.5.

For x = -2.75 and x = -2, y increases by a factor of 10/6 = 1.67.

These ratios are not exactly the same, but they are approximately equal to each other. This is consistent with the pattern of an exponential function, where the ratio of consecutive y-values is constant.

Therefore, the second graph, which represents Table B, represents an exponential function.

To learn more about the exponential function;

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Answer:

65 pounds of ice

Step-by-step explanation:

15-2=13

13/0.2=65

Answer: $720.10

Step-by-step explanation:

I got this by adding the prices all together

Answer: My answer would be 7.6

Step-by-step explanation: Hope this is correct.