2.
You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
B. A(n) = 1.5 • (0.74)^n–1 ; 0.33 cm
C. A(n) = 150 • (74)^n–1 ; 332,850,993,600 cm
D. A(n) = 0.74 • (1.5)^n–1 ; 5.62 cm

Answer:

Step-by-step explanation:

1: x=5

2: x=2

3: x = 3

4: x=5

5: x=3

6: x=4

7: x=37

Answer:

First we can do 33 time 6

Step-by-step explanation:

The length of the base of the pyramid is 3 meters.

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

https://brainly.com/question/22645991

#SPJ2

Answer:

Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.

Step-by-step explanation:

Answer:

B. Going up the elevator 14 floors

Step-by-step explanation:

Choice A can't be right because you are going below sea level (negative).

Choice C can't be correct either because the word "losing" let's you know that it's negative.

Choice D isn't right because if you are taking $20 from your checking account, it would be a negative number.

Hope this helps!

Answer:

Y is less than or equal to -1, or negative infinity to -1

Step-by-step explanation:

The range is which y values are included. The line extends forever getting lower in y values, and the highest y value is -1. You can either write it as { y | y[tex]\leq[/tex] -1 } or ( -∞, -1]

Answer: 7.5 (h)

Step-by-step explanation:

Let say

a the outflow of the first pipe

b the outflow of the second pipe

T the volume of the tank.

x the time for filling with the second pipe

two pipes can fill a tank in 3 hours: a*3+b*3=T

One pipe alone can fill the tank in 5 hours : a*5=T

3*b=T -3a ==> 3b= 5a*3a=2a

b=2a/3

b*x=T ==> 2/3*a*x=T ==> 2/3*T/5*x=T ==> 2/15*x=1

x=15/2 = 7.5 (hours)

Answer:

1

Step-by-step explanation:

5t = 5

divide equation by 5 to get rid of it

t = 1

This is because 5t means "5 times t". The t is a placeholder for a number.

To solve for t, we divide both sides by 5

5t = 5

5t/5 = 5/5

t = 1

Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.

Answer:

p = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)

m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]

Parallel lines have equal slopes

Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]

with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)

m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

- 10p = 20 ( divide both sides by - 10 )

p = - 2

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Hi there!

[tex]-2^2(-5x+10)=100[/tex]

Solve -2^2:

[tex]-4(-5x+10)=100[/tex]

Divide both sides by -4:

[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]

Subtract 10 from both sides:

[tex]-5x+10-10=-25-10\\-5x=-35[/tex]

Divide both sides by -5:

[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]

Therefore, x = 7.

I hope this helps!

Answer:

0<r<4

Step-by-step explanation:

-8<8-4r<8

Subtract 8 from each side

-8-8<8-4r-8<8-8

-16<-4r<0

Divide by -4, remembering to flip the inequality

-16/-4>-4r/-4>0/-4

4>r>0

Rewriting

0<r<4

Answer:

0.71

Step-by-step explanation:

Based on what we see here, we can deterime the probability of each flavor being drawn.

Apple: 11/38

Strawberry: 18/38

Lime: 9/38

So the probability of an apple NOT being drawn is 27/38. This is about 0.71.

Hope this helps!

Answer: 24,965

Step-by-step explanation:

hvnjujbmik,iki

uvb75jb7ikv7bk]

7bv85k8n6b

Answer:  5 miles/hour

Step-by-step explanation:  The slope of the line is 5:  every 1 hour adds 5 miles to the distance travelled.

Answer:

42.85 or 43 percent

Step-by-step explanation:

16 + 12 = 28

12/28 = x/100

12(100) = 28x

1200 = 28x

1200/28 = 28x/28

x = 42.85

Step-by-step explanation:

#12

PQ = 6x + 25

QR = 16 - 3x

PR = 6x + 25 + 16 - 3x

PR = 3x + 41

#1

D = √(-4 - 5)² + (-7 - 2)²

D = √(-9)² + (-9)²

D = √81 + 81

D = √162

D = 9√2

Answer:

where are the statements??

Step-by-step explanation:

Answer:

2.4 cookies

Step-by-step explanation:

Just divide

Angles DUT and VUD sum to VUT. We can create an equation to model this.

DUT + VUD = VUT

Now, let's plug our values into the equation.

24x + 5 + 46 = 35x - 4

Simplify the left side.

24x + 51 = 35x - 4

Subtract 24x from both sides and add 4 to both sides.

55 = 11x

Divide both sides by 11.

5 = x

Multiply hours per week by hourly pay rate:

20 x $15.75 = $315.00 per week

Multiply by 2 weeks:

$315 x 2 = $630

After 2 weeks paycheck is $630

Answer:

630

Step-by-step explanation:

15.75 x 20 = 315

315 is how much Angel makes in one week

315 x 2 = 630

630 is how much he will make in two weeks

The 2 signifies how many weeks have been worked

Answer:

-10x-28

Step-by-step explanation:

-

Answer:

$15.54

Step-by-step explanation:

Discount

(37 x 58)/100 = $21.46

Final Price

37 - 21.46 = $15.54

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

1.

Step-by-step explanation:

You can't send two because it'd be 38

i dont know i wish I could help.

Answer:

-2 to 2

Step-by-step explanation:

see there's the sign of absolute value around x

so even if we put a negative number in place of x we'll get a positive outcome.

for example,

|x| = 4

|x| = 3

and so on

so the actual domain of |x| reduces to => 0 to 4.

as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.

where the smallest value is 0 and largest is 4.

for range,

I'll just put these smallest and largest values in place of x and solve for domain

y= |0| - 2

y = -2

y = |4| - 2

y= 4 - 2

y = 2

so, the range of the function becomes -2 to 2.

Answer:

[tex]y=\frac{8x}{1}-7\\[/tex]

Step-by-step explanation:

(1,1) and (2,9)

[tex]\frac{9-1}{2-1}[/tex] =[tex]\frac{8}{1\\}[/tex]

(2,9) and (x,y)

[tex]\frac{y-9}{x-2} =\frac{8}{1} \\\\1(y-9)=8(x-2)\\\\\frac{1y}{1}-\frac{9}{1}=\frac{8x}{1}-\frac{16}{1}\\\\y=\frac{8x}{1}-16+9\\y=\frac{8x}{1}-7[/tex]

Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

          2*( 2w + w) = 60    

                    2*3w = 60

                       6w  = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in

Answer:

  3/8

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33