If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f-9)(2)?​

I'm assuming you meant to say "it reaches a height that is 2/3 the height of the previous bounce".

We have a geometric sequence with a = 9 as the first term and r = 2/3 as the common ratio.

The nth term is a*(r)^(n-1) = 9*(2/3)^(n-1)

Set this equal to 3 and solve for n. You'll need logs to isolate the exponent.

9*(2/3)^(n-1) = 3

(2/3)^(n-1) = 3/9

(2/3)^(n-1) = 1/3

log[ (2/3)^(n-1) ] = log(1/3)

(n-1)*log(2/3) = log(1/3)

(n-1)*(-0.17609) = -0.47712

n-1 = (-0.47712)/(-0.17609)

n-1 = 2.7095235

n = 2.7095235+1

n = 3.7095235

Unfortunately we don't get a whole number. We can see that the terms of the sequence are:

9, 6, 4, 2.667

Each term is found by multiplying 2/3 by the previous term.

We don't land exactly on "3". The closest we get is 2.667 approximately.

So to answer the question, there is no way to get to exactly 3 feet above the ground based on a whole number of bounces.

Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

x=30°

Answer:

Cos x°=adjacent/hypotenuse

Cos x°=45/52

x°=Cos-¹(45/52)

x°=30°

Answer:

she invest $18,500 at the 17% rate and $15,500 at the 20% rate.

Step-by-step explanation:

Suppose that you invest some quantity A to an invest rate of x%

At the end, the amount you will have is given by:

Amount = A + A*(x%/100%)

Where:

A*(x%/100%)  is the interest income

So, here she initially has $34,000

And she invest some quantity X to a 17% and a quantity Y to 20%

Then we have:

X + Y = $34,000

And we know that her total anual income is $6245

X*(17%/100%) + Y*(20%/100%) =  $6245

Then we have a system of two equations:

X + Y = $34,000

X*(17%/100%) + Y*(20%/100%) =  $6245

First we can rewrite the second one to a more simpler form:

X*(0.17) + Y*(0.20) =  $6245

Now we can isolate one of the variables in the first equation to get:

X = $34,000 - Y

Now we can replace that in the other equation to get:

( $34,000 - Y)*0.17 + Y*0.20 = $6245

Now we can solve this for Y:

$34,000*0.17 + Y*(0.20 - 0.17) = $6245

$5,780+ Y*0.03 =  $6245

Y*0.03 = $6245 - $5,780 = $465

Y = $465/0.03 = $15,500

And X = $34,000 - Y = $34,000 - $15,500 = $18,500

So she invest $18,500 at the 17% rate and $15,500 at the 20% rate.

Answer:

A: 18

Step-by-step explanation:

1. 4(5) - 2

2. 20 - 2

3. 18

Answer:

[tex]1.86 \div 2 = 0.93[/tex]

Step-by-step explanation:

The correct form of the question is:

Complete the equations below.

[tex]1.86 \div 2 =[/tex]

Required

Solve

Start from left to right

[tex]1 \div 2 = ??[/tex] --- this will give a fraction.

So, we append the next digit

[tex]1.8 \div 2 = 0.9[/tex]

Next:

[tex]0.06 \div 2 = 0.03[/tex]

Bring the results together:

[tex]1.86 \div 2 = 0.9+ 0.03[/tex]

[tex]1.86 \div 2 = 0.93[/tex]

Answer:

0.11

Step-by-step explanation:

Strongest correlation:

The strongest correlations happen for [tex]r = -1[/tex] and [tex]r = 1[/tex], that is, when r has the higher absolute value.

In this question:

The value of r with the lowest correlation is the one with the lowest absolute value(absolute value of -0.75 is 0.75 for example), so it is 0.11, which is the answer.

Answer:

it's C on edg

Step-by-step explanation:

.11

Answer:

3 : 8

Step-by-step explanation:

The ratio of the radii is equal to the ratio of the circumference, then ratio is

12π : 32π ( divide both parts by 4π )

= 3 : 8

Answer:

5=1

4=5

i don't really know for the third one sorry but it's more than 11

Step-by-step explanation:

Answer:

[tex]7.4km[/tex]

Step-by-step explanation:

[tex]24.6km - 17km \\ = 7.4km[/tex]

hope this helps you.

Answer:

Step-by-step explanation:

[tex]2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80} [/tex]

[tex] = 2 \sqrt{2 \times 2 \times 5} + 8 \sqrt{3 \times 3 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} [/tex]

[tex] = 2(2 \sqrt{5} ) + 8(3 \sqrt{5} ) - (4 \sqrt{5} )[/tex]

[tex] = 4 \sqrt{5} + 24 \sqrt{5} - 4 \sqrt{5} [/tex]

[tex] = 24 \sqrt{5} (ans)[/tex]

Answer:

[tex]\huge\boxed{24\sqrt5}[/tex]

Step-by-step explanation:

[tex]2\sqrt{20}+8\sqrt{45}-\sqrt{80}\\\\=2\sqrt{4\cdot5}+8\sqrt{9\cdot5}-\sqrt{16\cdot5}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5\\\\\text{we know}\ a\sqrt{b}=a\cdot\sqrt{b},\ \text{and}\ \sqrt{a}=b\iff b^2=a\\\\\text{Therefore}\\ 2\sqrt{4}=2\cdot\sqrt4=2\cdot2=4\\8\sqrt9=8\cdot\sqrt9=8\cdot3=24\\\sqrt{16}\cdot\sqrt5=4\cdot\sqrt5=4\sqrt5\\\\\text{Therefore}[/tex]

[tex]=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5=4\sqrt5+24\sqrt5-4\sqrt5\\\\=(4+24-4)\sqrt5=24\sqrt5[/tex]

Answer:

z =86

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angles

z + z-39 = z+47

2z-39 = z+47

Subtract z from each side

z-39 = 47

Add 39 from each side

z = 47+39

z =86

The given information is,

To find the required value of z.

Property we use,

The exterior angle of a triangle is the sum of the opposite interior angles.

Now we can get the value of z,

→ z + z-39 = z + 47

→ 2z-39 = z + 47

→ 2z -z = 47 + 39

→ z = 47 + 39

→ [z = 86]

Thus, the required value of z is 86.

Answer:

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Answer:

11: 12

Step-by-step explanation:

Let the number of oranges and pears Mr Lynch have initially be x and p respectively.

x -10= ½p

2(x -10)= p

p= 2x -20 -----(1)

Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.

p= 24

Substitute p= 24 into (1):

2x -20= 24

2x= 24 +20 (+20 on both sides)

2x= 44

x= 44 ÷2

x= 22

[tex] \frac{x}{p} = \frac{22}{24} [/tex]

[tex] \frac{x}{p} = \frac{11}{12} [/tex]

Thus the ratio of orange to pears in the beginning is 11: 12.

Answer:

A) 800 seats

Step-by-step explanation:

Notice that an arithmetic sequence is formed with the number of seats. Since we're adding one seat each row, the last (25th) row will have 44 seats since the first row has 20 seats.

The sum of an arithmetic sequence is given by:

[tex]S_n=n\left(\frac{a_1+a_n}{2}\right)[/tex], where [tex]n[/tex] is the number of terms, [tex]a_1[/tex] is the first term, and [tex]a_n[/tex] is the last term

Therefore, substituting [tex]a_1=20[/tex], [tex]a_n=44[/tex], and [tex]n=25[/tex], we get:

[tex]S_n=25(\frac{20+44}{2}),\\s_n=25\cdot 32=\boxed{800}[/tex]

Answer:

336

Step-by-step explanation:

2x7=14, so 200-14=186, then 186+150=336

Answer:

x^5+5x^4+10x³+10x²+5x+1

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

   = (-48- -24)/(19 -3)

   = (-48+24)/(19-3)

   = -24/16

   = -3/2

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

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

Let:

[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]

Substitute into slope formula:

[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]

Answer:

6[tex]\sqrt{34}[/tex]

Step-by-step explanation:

[tex]\sqrt{1224}\\[/tex] = [tex]\sqrt{36*34}[/tex] = 6[tex]\sqrt{34}[/tex]

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

X=7

c is the answer:

[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]

Step-by-step explanation:

Option D

As time increases, the temprature of soup decreases..

hope it helps

Answer:

8

Step-by-step explanation:

LINE DC =BD

because line AD is a bisector of CAB

Dividing line CAD into two equal half's

The linear inequality that represents the graph is y > (2/3)x + 3.

Option C is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

y < (2/3)x + 3

y > (3/2)x + 3

y > (2/3)x + 3

y < (3/2)x + 3

The graph is on the positive side of the y-coordinate so,

We can consider:

y > (3/2)x + 3

y > (2/3)x + 3

Now,

Plotting in a graph we see that,

We need to have the y-intercept at y = 3 and the x-intercept at x = 4.5.

So,

y > (2/3)x + 3 satisfied.

Thus,

y > (2/3)x + 3 represents the graph.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Divide 8 by 4

Because is PEDMAS, division comes first.

Answer:

divide 8 by 4

Step-by-step explanation:

PEMDAS or BODMAS