17. GRAVITY The height above the ground of a ball thrown up with a velocity of 96 feet per second from a height of 6 feet is 6 + 96t - 16t2 feet, where t is the time in seconds. According to this model, how high is the ball after 7 seconds? Explain.

Answer:

If it was iready it would be $85 dollars!

Step-by-step explanation:

The below-level floors will be represented by negative numbers and the above level by positive numbers.

An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative. A numeral system is a way to convey numbers in writing; it is a way to describe numbers in mathematics by utilizing a consistent collection of digits or other symbols.

Given that a parking garage has floors above and below ground level. For a scavenger hunt, Gaia's friends are given a list of objects ground level is 0 and the first level above ground is 1.

The floors are -3,-4, and 4 because the negative numbers represent below ground as they are below zero and the positive 4 is higher than 1 so which shows that level 4 is higher than level 1.

Therefore, the below-level floors will be represented by negative numbers and the above level by positive numbers.

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The markup rate of the book is 42 which is 50%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a math book at the victor valley college bookstore originally cost $84 to purchase they sell it for $126.

The markup rate will be calculated as,

Markup price = 126 - 84

Markup price = 42

Markup price percentage = 42 / 84 = 0.5x 100= 50%

Therefore, the markup rate of the book is 42 which is 50%.

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The cost of the climbing, broken up into daily fees and shoe cost, totals $144. Given the total cost of $169 for climbing, shoes, and the harness, subtracting the calculated $144 from this gives a harness cost of $25.

This question is about solving a problem using simple algebra. Given that the climbing gym costs $10 per day for 6 days, that adds up to $60. The climbing shoes are also given as $84. So, we add these two to get the total cost of climbing and shoes which is $144.

The question mentions that with the harness the total is $169. Therefore, if we subtract $144 (climbing and shoes) from $169 (total cost), we would get the cost of the harness. This means subtracting $144 from $169 equals $25. So, the cost of the harness is $25.

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Answer:

The answer is B. a = 41%, b = 3%

You can get 18 dishes from 4 and 1/2 of a carton of Dan's ice cream.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

This can be solved by the ratio and proportion approach.

Now Equate the two situations in terms of number of dishes to mass of ice cream. The solution is as follows:

Let x be the number of dishes.

Therefore,

1 dish/ 1/4 pound = x dishes/ 4+ 1/2 pounds

Solving for x;

x = 18 dishes

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Answer: The expression can be T(X) = X/3 + 1 where X is the number of students, and we always should round up our solution if it is not a whole number.

Step-by-step explanation:

She needs a tent for every 3 campers, and she also needs a tent for herself.

This means that if X is the number of campers, we need to have:

T(X) = X/3 + 1

this means that we divide X into groups of 3, and for each group of 3 we have one tent, plus one that we need for the camp leader.

now, if for example we have 10 campers, we will have:

T(10) = 10/3 + 1 = 3.33 + 1

So we will need to round up the number of tents to 4 + 1

To determine how much stone Jason will spread on each square yard, one must divide the total amount of stone, which is 3/4 ton, by the number of square yards, which is 3. The result is 1/4 ton of stone per square yard.

Jason has 3/4 ton of stone to spread equally in 3 square yards. To find out how many tons of stone will be spread in each square yard, you divide the total tons by the number of square yards. That gives you:

This calculation shows that Jason will spread 1/4 ton of stone on each square yard.

Answer:

He will have to run a total of 8.65 miles to reach his goal.

Step-by-step explanation:

We are given the total of how long he ran for his three short runs, and all we have to do is simplysubtract. We know he has to run 18 miles total, so we subtract the three shorter runs from the total. 18-9.35=8.65. He has to run 8.65 miles in one run, he's going to have a long day.

By definition of squared root of numbers, The square root of fraction of numbers √49 / 144 is,

⇒ √49 / 144 = 7 / 12

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The expression with number is,

⇒ √49/144

Now, we can simplify the number as;

⇒ √49/144

⇒ √7 × 7 / 12 × 12

⇒ √7² / 12²

⇒ 7 / 12

Therefore, We get;

By definition of squared root of numbers, The square root of number √49 / 144 is,

⇒ √49 / 144 = 7 / 12

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The graph that represents the equation y = 1.4x +2 is attached in the image.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

The graph that represents the equation y = 1.4x +2 can be plotted on a graph paper by choosing some arbitrary values of x.

When x = 0, y =2. x = 5 , y = 9. x = 10 , y = 16.

This can be put together as ordered pairs (x, y) as (0, 2), (5, 9), (10, 16).

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Using simple interest, it is found that the rate is of 0.1205 = 12.05%.

The amount of money earned in simple interest after t years is given by:

[tex]I = Pit[/tex]

In which:

In this problem, we have that:

Then:

[tex]I = Pit[/tex]

[tex]160.67 = 2000\frac{2}{3}i[/tex]

[tex]i = \frac{160.67 \times 3}{4000}[/tex]

[tex]i = 0.1205[/tex]

The rate is of 0.1205 = 12.05%.

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