A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = - 16t^2 + 576t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.

Let us call the frames A and B

The two sides of A are Ax and Ay

The two sides of B are Bx and By

Bx 4

---- = ----

Ax 5

Bx = (4*Ax)/5

As they are similar: By = (4*Ay)/5

Area of A = Ax*Bx

Area of B = Ay*By = (16*Ax*Ay)/25

Area of B 16

----------- = -------

Area of A 25

The inequality represents this sentence "Six plus two is less than nine plus three" is B. 6 + 2 < 9 + 3.

When the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Then values are called solution to that equation or inequality.

Thus we have set of such values is called solution set to the considered equation or inequality.

We are given that Six plus two is less than nine plus three.

So here six plus two = 6 + 2

It is less than 9 + 3

Means

6 + 2 < 9 + 3

Therefore, the correct option is B.

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The total elevation change from the bottom of the lake to the top of the mountain is 760 feet. This calculation comes from multiples and subtraction.

You've got a neat problem here involving subtraction and multiplication. It's all to do with altitude and elevation change. You have climbed one-third of the way up the mountain and are currently 220 feet above lake level. This means that a third of the mountain's height from the lake's surface is 220 feet. To find the total height from the lake to the top of the mountain, we can do a simple multiplication:

1. 3 (representing the whole mountain) × 220 feet (one-third of it) = 660 feet.

However, you asked for the elevation change from the bottom of the lake to the top of the mountain. The lake is 100 feet deep, so we add this to our total:

2. 660 feet (mountain height) + 100 feet (lake depth) = 760 feet.

So, the elevation change from the bottom of the lake to the top of the mountain is 760 feet.

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The total elevation change from the bottom of the lake to the top of the mountain is 760 feet.

To answer the question, we need to understand that if the student is already 220 feet above the lake, and this represents one third of the way up the mountain, we can use this information to find the total elevation change from the lake bottom to the top of the mountain. We first need to calculate how high the mountain is above the lake by dividing 220 feet by one third (or 0.33), which gives approximately 660 feet. However, this does not include the depth of the lake. As the lake is 100 feet deep, we need to add this to our previous value to get the total elevation change. This gives us an elevation change of 660 feet + 100 feet = 760 feet from the bottom of the lake to the top of the mountain.

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The number 1.666666667 can be written as a fraction as, 1666666667/1000000000.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

1.666666667.

This can be written as,

= 1666666667/1000000007

Thus,

The fraction is 1666666667/1000000000

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The value of a given the slope between two coordinates is: 6

The formula to find the slope between two coordinates is expressed as:

m = (y₂ - y₁)/(x₂ - x₁)

For the coordinates (5,9) and (3,a) and slope of 3/2, we have:

3/2 = (a - 9)/(3 - 5)

3/2 = (a - 9)/-2

-3 = a - 9

a = 6

The value of a given the slope between two coordinates is: 6

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Answer: Hello there!

we know that the zoo had an equal number of visitors on Saturday and Sunday, if the total number of visitors in the weekend is 32096, then the visitors in each day are: 32096/2 = 16048.

a) on Saturday, 1/8 of the people who visited were senior citizens, 1/8 were infants, 1/4 were children, and 1/2 were adults.

if we want to know the amount of each, then:

the amount of senior citizens are: (1/8)*16048 = 2006  

the amount of infants are: (1/8)*16048 = 2006

the amount of children is: (1/4)*16048 = 4012

the amount of adults are: (1/2)*16048 = 8024

b) On Sunday, 1/16 of the people who visited were senior citizens, 3/16 were infants, 3/8 were children, and 3/8 were adults.

the amount of senior citizens are : (1/16)*16048 = 1003

the amount of infants are: (3/16)*16048 = 3009

the amount of children is: (3/8)*16048 = 6018

the number of adults is also: (3/8)*16048 = 6018

Answer:

She will hike about 18 kilometers in 6 hours

Step-by-step explanation:

The answer should be 7.97

Answer

[tex]Lola=\frac{203}{537}[/tex]

[tex]Ahmed=\frac{154}{537}[/tex]

[tex]Tommy=\frac{60}{179}[/tex]

Explanation

To find fraction of the total sales for each salesperson, we just need to divide the amount sold by each person by the total sales.

First, we are going to find the total sales:

$2030 + $1540 + $1800 = $5370

Now we can divide the amount sold by each salesperson by $5370:

[tex]Lola=\frac{2030}{5370} =\frac{203}{537}[/tex]

[tex]Ahmed =\frac{1540}{5370} =\frac{154}{537}[/tex]

[tex]Tommy=\frac{1800}{5370} =\frac{60}{179}[/tex]

We can conclude that Lola sold [tex]\frac{203}{537}[/tex] of the total sales, Ahmed sold [tex]\frac{154}{537}[/tex] of the total sales, and Tommy sold [tex]\frac{60}{179}[/tex] of the total sales.

Answer

Lola = $37.80

Ahmed = $28.68

Tommy = $33.52

Explanation

We need to divide $100 bonus according of the fraction of the total sales sold by each salesperson; to do so, we need to multiply $100 by the fraction of the total sales for each salesperson:

[tex]Lola=\frac{203}{537}*100=37.8026[/tex]

And rounded to the nearest cent:

Lola = $37.80

[tex]Ahmed=\frac{154}{537}*100=28.6778[/tex]

And rounded to the nearest cent:

Ahmed = $28.68

[tex]Tommy=\frac{60}{179}*100=33.5195[/tex]

And rounded to the nearest cent:

Tommy = $33.52

We can conclude that of the $100 bones, Lola received $37.80, Ahmed $28.68, and Tommy $33.52

The phrase for the algebraic expression 8y is 'eight times the variable y'. It represents a multiplication of the variable y by 8.

The algebraic expression 8y can be represented by the phrase 'eight times the variable y'. This type of question involves translating algebraic expressions into verbal phrases, which is important in understanding and communicating mathematical concepts clearly. The expression consists of a constant multiplier, 8, and a variable, y, indicating that y is to be multiplied by 8.

The area of a rectangle is calculated by multiplying the number of rows by the number of squares in each row, which represents the length and breadth respectively.

The area of a rectangle can be calculated by multiplying the number of rows by the number of squares in each row. This corresponds to the multiplication of the length (number of squares in each row) and the breadth (number of rows). For example, if you have a rectangle made up of 4 rows and each row consists of 5 squares, the area would be 4 rows * 5 squares per row = 20 squares.

In real-life applications, for instance, if calculating the area of a floor that is 12.0 m², and the uncertainty is 3 percent (expressed as an area this is 0.36 m² - rounded to 0.4 m² assuming measured to a tenth of a square meter). Therefore, understanding the concept of calculating area is highly important.

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