A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each
successive bounce is 73% of the previous bounce's height. What would be the height
of the 10th bounce of the ball? Round to the nearest tenth (if necessary).

1.) The quantity of the wall space that is being pennant covers would be = 10.85cm.

To calculate the area covered by the pennant is to use the formula for the area of triangle which is the shape of the pennant.

That is ;

Area = ½ base× height.

Base = 6.2 cm

height = 3.5

Area = 1/2 × 6.2 × 3.5

= 21.7/2

= 10.85cm

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Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

Answer:

x = 1

Step-by-step explanation:

Given

3(x - 2) + 2 = 5(x - 3) + 9 ← distribute and simplify both sides

3x - 6 + 2 = 5x - 15 + 9

3x - 4 = 5x - 6 ( subtract 5x from both sides )

- 2x - 4 = - 6 ( add 4 to both sides )

- 2x = - 2 ( divide both sides by - 2 )

x = 1

A cumulative relative frequency distribution shows the proportion of the data that is less than or equal to each given value on the horizontal axis. The cumulative frequency is found by adding up the frequencies as you proceed from left to right and creating a new column for them.

A cumulative relative frequency distribution shows the proportion of the data that is less than or equal to each given value on the horizontal axis. The cumulative frequency is found by adding up the frequencies as you proceed from left to right and creating a new column for them. The cumulative relative frequency is useful when we need to determine the number of observations in a data set that are less than or equal to a given value. It is constructed by creating a column of cumulative frequencies. It helps us to identify the number of data points that fall below a particular value in the dataset. The cumulative relative frequency is computed as the sum of all the relative frequencies up to a particular value. It is useful when comparing the relative frequencies of different data sets.

A cumulative relative frequency distribution graph is used to display cumulative relative frequency data in the form of a graph. The horizontal axis represents the variable values, while the vertical axis represents the cumulative relative frequency. Cumulative frequency graphs provide a better understanding of the overall distribution of data and the location of percentile points. To calculate the cumulative frequency, we add the frequency of each class to the sum of the frequencies in all previous classes. This process continues until we reach the final class. The cumulative frequency graph is an effective way to analyze the data in large data sets.

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There were 13 small boxes shipped and 6 large boxes shipped.

Let's denote the number of small boxes as 's' and the number of large boxes as 'l'.

According to the given information, the volume of each small box is 6 cubic feet, so the total volume of all small boxes can be calculated as 6s cubic feet.

Similarly, the volume of each large box is 13 cubic feet, so the total volume of all large boxes can be calculated as 13l cubic feet.

We are also given that the combined volume of all the boxes is 156 cubic feet, so we can write the equation:

6s + 13l = 156 ...(1)

Additionally, we know that a total of 19 boxes were shipped, so we can write another equation:

s + l = 19 ...(2)

Now, we have a system of equations (equation 1 and equation 2) that we can solve simultaneously to find the values of 's' and 'l'.

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method here.

From equation 2, we can rewrite it as s = 19 - l.

Substituting this value of s into equation 1, we get:

6(19 - l) + 13l = 156

Simplifying the equation:

114 - 6l + 13l = 156

Combining like terms:

7l = 42

Dividing both sides by 7:

l = 6

Now, we can substitute this value of l back into equation 2 to find the value of s:

s + 6 = 19

s = 13

The number of small boxes shipped is 13, and the number of large boxes shipped is 6.

There were 13 small boxes shipped and 6 large boxes shipped.

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Answer:

2 2/3

Step-by-step explanation:

turn the 1/3 and 3/4 into 4/12 and 9/12, add them and the 2 and 1 and get 4 1/12 turn the rest into fractions of 12 so 11/12 12/12 9/12 = 2 8/12 which = 2 2/3

Answer:

-70.075

Step-by-step explanation:

it's answer hope it helps you

The statement "some integers are also rational numbers, but not all integers are rational numbers" is true regarding the number sets.

To understand the relationship between integers and rational numbers, it's important to understand the definitions of each set:

Integers: Integers are whole numbers (both positive and negative) and zero, without any fractional or decimal parts.

Rational numbers: Rational numbers are numbers that can be expressed as a fraction (ratio) of two integers, where the denominator is not zero.

Based on these definitions, we can conclude that:

All integers are rational numbers because they can be expressed as a fraction with a denominator of 1. For example, 3 can be written as 3/1, -5 can be written as -5/1, and 0 can be written as 0/1.

However, not all rational numbers are integers. Rational numbers include fractions, decimals that terminate, and decimals that repeat. These numbers may have a numerator and denominator that are not equal to 1. For example, 1/2, -3/4, and 0.25 are rational numbers, but they are not integers.

The statement "some integers are also rational numbers, but not all integers are rational numbers" is true. While all integers are rational numbers, not all rational numbers are integers.

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Answer:

Step-by-step explanation:

25, i think

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N

Answer:

incorrect addition

Step-by-step explanation:

Answer:

The anwser is A the first one 8y+12x= 150 and x+y+ 12

Step-by-step explanation:

First you need the prices to equal how much money she had, im guessing she had 150 because all the anwsers say she did by looking at them. So, that gives you 8y and 12x is less or equal to 150. Then oboulsly the cominded number of books x and why must be at least (greater or equal to)  12 giving x+y is greater or equal to 12

Their hourly wage in 3 more years (after a total of 13 years) will be 17.43 per hour.

We can solve this problem using the formula for exponential growth, which is:

\(A = P(1 + r)^t\)

Where:

A = the amount after t years

P = the initial amount

r = the annual growth rate (expressed as a decimal)

t = the number of years

Let's use this formula to solve the problem:

Find the initial amount

The initial hourly wage is 7.40, so P = 7.40

Find the annual growth rate

The wages grew from 7.40 to 14.56 in 10 years, so we can use this information to find the annual growth rate:

\(14.56 = 7.40(1 + r)^{10}\\(1 + r)^{10} = 14.56/7.40\\(1 + r)^{10} = 1.97297\\1 + r = (1.97297)^{(1/10)\)

1 + r = 1.076

r = 0.076 or 7.6%

So the annual growth rate is 7.6% (expressed as a decimal).

Find the amount after 13 years

We want to find the hourly wage in 3 more years, which is a total of 13 years (10 years of past growth + 3 more years). So t = 13.

\(A = P(1 + r)^t\\A = 7.40(1 + 0.076)^{13}\\A = 7.40(1.076)^{13}\\A = 7.40(2.355)\)

A = 17.43 (rounded to two decimal places)

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Answer:

Biology

the answer is

c . two .

Answer: $21000

Step-by-step explanation:

By uwing option A, the salesperson will make (40 × $21) = $840.

Let the amount of sales that is needed for the week to be thesame as option A be x. Therefore,

4% of x = $840

4% × x = $840

0.04x = $840

x = $840/0.04

x= $21000

The salesperson need to sell $21,000 worth of sales

9514 1404 393

Answer:

  5.25 seconds

Step-by-step explanation:

The vertex of the parabola defined by ax²+bx+c is located at x = -b/(2a).

The time to maximum altitude is ...

  x = -(168)/(2(-16)) = 168/32 = 5.25

The time at which maximum height is reached is 5.25 seconds after launch.

The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.

We know that, average = Sum of all the observations/Number of observations

Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6

= 24.042/6

= 4.007 ounces

Therefore, option 2 is the correct answer.

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Answer:

x=-7

Step-by-step explanation:

75+x+52+67+x=180

2x+194=180

2x=-14

x=-7

Answer:

x = -7

Step-by-step explanation:

total angle of triangle is 180°

nake an equation.

180°= 75 + (x+52) + (67+x)

180-75-52-67=2x

-14 =2x

Divide both sides by 2 to get the value of x

X= -7

Answer:

the common ratio is +8

10 - 2 = 8

2 - (-6) = 8

Answer:

B i think let me solve

Step-by-step explanation:

With linear inequalities in two variables, you still have y=mx+b and it still tells you the same thing.

The inequality portion adds two additional layers on top of the y=mx+b line.

If the inequality is > or <, then you draw the line as a dashed line.

If the inequality is ≥ or ≤, then you draw the line as a solid line.

The difference is that points on the > or < line do NOT make the inquality true, while points on the ≥ or ≤ line do.

The other piece is that all the points on one side of the line will also make the inequality true.

If you have "y>mx+b" or "y≥mx+b", then you shade above the line.

If you have "y<mx+b" or "y≤mx+b", then you shade below the line.

So there are three parts:

1. Where is the line?  

2. Is the line solid or dashed?

3. Do you shade above or below the line?

The three graphs are attached.

Explanation:

To add the numbers, we need to locate the decimal point under the decimal point. So, the sum will be equal to:

Then,

Answer:

4

Step-by-step explanation:

996

888

978

798

The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

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The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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