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 is term n = 1.
b. What height will the ball be at the top of the sixth path?

1) A(n) = 1.5 • (0.74)^x-1; 0.33cm
2)A(n) = 0.74 • (1.5)^x-1; 5.62cm
3) A(n) = 150•(0.74)^x-1; 33.29cm
4) A(n) = 150 • (74) ^x-1; 332,850,993,600cm

Answer:

13/5

Step-by-step explanation:

first make the mixed fraction into proper fraction

how to make mixed into proper:

Step 1

Multiply the denominator by the whole number

4 × 3 = 12

Step 2

Add the answer from Step 1 to the numerator

12 + 1 = 13

Step 3

Write answer from Step 2 over the denominator

13/4

=[tex]\frac{13}{14}[/tex]

step 2.

multiply across.

example : 13 x 4 =52.

4x5=20

step 3:

divide 52/20 as the lowest possible.

which comes out to 13/5

Answer:

46.75

Step-by-step explanation:

first, separate the floor into 3 different rectangles to calculate the area and then add them together.

area of rec=L*B

rec 1: 5.5*4=22

rec 2: (6.5-3)*(8.5-3-4)=5.25

rec 3:3*6.5=19.5

Then:

22+5.25+19.5=46.75

Answer:

∠1 = 142°

reason: angles 1 and 2 are supplementary so they equal 180. 180-38 is 142

∠3 = 38°

reason: angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.

∠4 = 142°

reason: since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142

∠5 = 38°

reason: since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2

∠6 = 142°

reason: for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.

∠8 = 142°

reason: since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also

Step-by-step explanation:

hope this helped you :)

The missing value in the equation is 2.When we substitute 2 for the missing number, the LHS value equals the RHS value.So, response 2 is the right one.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

y=5(?)^x

The given data from the table;

X 0 1 2 3 4 5 6

Y 5 10 20 40 80 160 320

If we put the value 2 on the missing place it will satisfy the relation;

y=5(?)ˣ

5=5(2)⁰

5=2×1

5=5

10=5(2)¹

10=5×2

10=10

20=5(2)²

20=5×4

20=20

The value of LHS is equal to the RHS when we put 2 on the place of missing value.

Hence 2 is the correct answer.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

Answer:

x = 7

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through, then

x = 7 ← equation of line

Answer:

I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.

3x+0

Step-by-step explanation:

Using the formula mx+b we can get our answer.

We know that the two points pass through (7, 0)

mx+b is (slope)x+(y-intercept)

The slope of the two lines is 3 so we can replace m for 3:

3x+b

the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.

Step-by-step explanation:

1.

The given equation is :

6x+2y=14

We need to write it in the function form.

Taking 2 common from both sides,

2(3x+y)=2(7)

So,

(3x+y)=7

Subtract 3x from both sides,

y+3x-3x=7-3x

y = 7-3x

So, the correct option is (c).

2. f(x) = 3x-4

We need to find f(2). Put x = 2 in the above function.

f(2) = 3(2)-4

= 6-4

= 2

The correct option is (D).

Answer:

[tex]6(6 - x)[/tex]

Step-by-step explanation:

1) Expand.

[tex]6(x - 2x + 6)[/tex]

2) Collect like terms.

[tex]6((x - 2x) + 6)[/tex]

3) Simplify (x - 2x) + 6 to -x + 6.

[tex]6( - x + 6)[/tex]

4) Regroup term.

[tex]6(6 - x)[/tex]

Therefor, the answer is 6(6 - x).

Answer:

She Jen djzksndhdi

Step-by-step explanation:

Answer:

Thank you so much!! let me know if you need any help on anything!

Step-by-step explanation:

Answer:

19 is the range.

17.4 is the mean.

20.5 is the median.

24 is the mode.

Step-by-step explanation:

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

22, 5, 22, 13, 12, 24, 24, 9, 24, 19.

Now that we know what these words mean, we can solve this.

Range: 24 - 5 = 19

19 is the range.

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

Now, let's calculate the mean.

Mean: 22 + 5 + 22 + 13 + 12 + 24 + 24 + 9 + 24 + 19 = 174

There are 10 numbers in total.

174 ÷ 10 = 17.4

17.4 is the mean.

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

5, 9, 12, 13, 19, 22, 22, 24, 24, 24

In this case, there are two medians.

So to find the median, we have to add both the medians of this data set, then, divide the sum by 2.

19 + 22 = 41

41 ÷ 2 = 20.5

20.5 is the median.

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

5, 9, 12, 13, 19, 22, 22, 24, 24, 24

24 appears the most; 24 is the mode.

Answer:

Option B:

[tex]H_0: \mu = 22.1[/tex]

[tex]H_a: \mu \neq 22.1[/tex]

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

[tex]H_0: \mu = 22.1[/tex]

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

[tex]H_a: \mu \neq 22.1[/tex]

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

Answer:

20 cubic meters

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

Dividing the figure into 2 rectangular prisms

Volume of First rectangular prisms = 4m * 2m * 1m

Volume of First rectangular prism = 8m^3

Volume of second rectangular prism = 4m * 3m * 1m

Volume of second rectangular prism = 12m^3

Taking the sum

Volume of the figure = 8m^3 + 12m^3

Volume of the figure = 20 cubic meters

Answer:i dont know

Step-by-step explanation:

Help me

The real amount of gold in the padlock is 3 / 5 pounds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold.

The amount of the golden padlock is calculated as,

Amount = 4 / 5 x 3 / 4

Amount = 3 / 5 pounds

To know more about an expression follow

https://brainly.com/question/29160940

#SPJ2

Answer: 12 yards

Step-by-step explanation:

I just had this question and 12 was the answer! May I have brainliest please?

The value of P for the following triangular prism, 12 yd

Perimeter is the distance around the edge of a shape.

Perimeter of the prism = side + side + side

                                      = 5+4+3

                                      = 12 yd

Hence, the value of P = 12 yd

Learn more about perimeter here:

https://brainly.com/question/20521578

#SPJ2

Answer:

B = 12800 grams or 12kg 800 grams.

Step-by-step explanation:

Let the two puppies be A and B respectively.

Translating the word problem into an algebraic expression, we have;

A + B = 22kg 300g

A = 9kg 500g

Conversion;

1 Kilograms = 1000 grams.

9kg 500g = 9*1000 + 500 = 9500 grams

22kg 300g = 22*1000 + 300 = 22300 g

Substituting into the above formula, we have;

9500 + B = 22300

B = 22300 - 9500

B = 12800 grams or 12kg 800 grams

Answer:

B

Step-by-step explanation:

Answer:

he is 36 inches

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

We know that Kelly's little brother is exactly 3 feet tall, and we know how big he is in inches.

To solve first keep in mind that 1 feet is 12 inches.

Therefore if there are 3 feet, we would multiply the inches 3 times.

12 * 3

= 36

Therefore, Kelly's little brother is 36 inches.

Answer:

Sorry too hard

Step-by-step explanation:

Answer:

The Answer is D or 12^x+1 (12^h - 1) / h

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right

Answer:

356%

Step-by-step explanation:

Incease in weight

2,918 - 640 = 2,278

% increase

p = increase / original  * 100%

p = 2,278 / 640 * 100

p = 355.9375%

Rounded

356%

Answer:

You'll find the Answer on the bottom, If you want me to just say the answer mark me brainlist (Click brainlist next to my user)

Step-by-step explanation:

Minset length equals (-2+3x).

One Base is 13.

Another base is (x+3).

Answer: (6, -8)

Step-by-step explanation: endpoint 1 is 6.3 away from the midpoint. Double that makes 12.6, so find the point that is 12.6 away from the original endpoint. Using a graph helps! I personally use geogebra.

Hope this helped! Please give brainliest if it did ;)

Answer:

the arc of the angle is 14.7 then whatever the measurement is.

Answer:

78.38

Step-by-step explanation:

Answer:

Square root of 6144

Step-by-step explanation:

78.3836717691

Answer:

5.6

Step-by-step explanation:

also can u give me brainly and yw

Answer: -5,1

Step-by-step explanation: Hope this help :D

Answer:

15) letter A

16) letter C

Step-by-step explanation:

Used a graphing calculator,

hope this helps.