which number is greater 67.89 and 67.98

The object will take 2.5 seconds to reach its maximum height. The maximum height attained by the object will be 42.375 meters.

To find how long it takes for the object to reach its maximum height, we can use the projectile motion formula

h(t) = -4.9t² + v0t + h0.

The maximum height is achieved when the vertical velocity component is zero. This happens midway through the flight.

The time to reach maximum height can be found using the formula

t = v0 / g,

where v0 is the initial velocity and

g is the acceleration due to gravity (9.8 m/s²).

In this case, v0 = 24.5 m/s and g = 9.8 m/s², so the time (t) to reach maximum height is

t = 24.5 m/s / 9.8 m/s² = 2.5 s.

The maximum height (H) can be calculated as the initial height plus the displacement due to the initial velocity upwards before it starts coming down.

Since we know the time to reach the maximum height, we can plug it into the original equation h(t) to find the maximum height:

H = -4.9(2.5)² + 24.5(2.5) + 11

We then find that

H = 42.375 m.

If c – 8 is an odd integer, then c could be any even number greater than 8 such as 10, 12, 14, 16, because when you subtract 8 from these even numbers, the result is an odd integer.

The question requires us to find the value of c if c : 8 is an odd integer. So, if c : 8 is an odd integer, that means whatever number c is, when you subtract 8 from it, you should get an odd number. Odd numbers are integers that are not divisible by 2 and they usually end in 1, 3, 5, 7, or 9. Therefore, the possible values for c can be any even number greater than 8, such as 10, 12, 14, 16, and so on. That's because when you subtract 8 from these even numbers, the result will be an odd integer.

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The length of the given rectangular field is 120 yd while the width is 70 yd.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the length of a rectangle is L while the width is W

So,

Perimeter 2(L + W) = 380

And,

L = W + 50

By substitution,

W + 50 + W = 190

2W + 50 = 190

2W = 140

W = 70

And

L = 70 + 50 = 120

Hence "The length of the given rectangular field is 120 yd while the width is 70 yd.

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The tax on $95 will be equal to $8.08 at the rate of 8.5%.

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.

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 the tax rate is 8.5% the tax on $95 will be calculated as,

Sales tax = 8.5% of 95

Sales tax = 0.085 x 95

Sales tax = $8.08

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cylinder B is 4 times the size of A

divide 630 by 18

630/18 = 35

so unit rate would be 35 meters per second

Answer:

D.The vertex form is f(x) = −(x +3)^2 + 4. The standard form is f(x) = −x2−6x−5.  

Step-by-step explanation:

usatestprep

Answer:

36 twelfths.

Step-by-step explanation:

We are asked to find number of twelfths are in 3.

We can write 3 as a fraction as:

[tex]\frac{3}{1}[/tex]

To convert our given number to twelfths, we will multiply numerator and denominator of our fraction by 12 as:

[tex]\frac{3}{1}\times \frac{12}{12}[/tex]

[tex]\frac{3\times 12}{1\times12}[/tex]

[tex]\frac{36}{12}[/tex]

Therefore, there are 36 twelfths in 3.

how to equate: to add 12.8 to -15 subtract 12.8 from 15

15-12.8 =2.2

 since 15 is negative and is larger than 12.8 the answer would be negative so 2.2 becomes -2.2

-15 + 12.8 = -2.2

-15 + 12.8 equates to -2.2 by subtracting the smaller absolute value from the larger one and considering the sign of the number with the larger absolute value. The solution involves basic arithmetic with negative and positive numbers.

Solving the Equation -15 + 12.8

To solve the equation -15 + 12.8, follow these steps:

So, -15 + 12.8 equates to -2.2.

To convert the slope-intercept form equation y = -3/8x - 7 into standard form, mulitply by 8 to remove the fraction, then rearrange to form 3x + 8y = -56, making sure the 'A' coefficient is positive.

The student's question asks about rewriting the slope-intercept form equation y = -3/8x - 7 into standard form. To do so, we need to rearrange the equation so that all variables and constants are on one side and the equation is set equal to zero. In standard form, the equation should be written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Let's convert the given equation to standard form step by step:

Multiply both sides of the equation by 8 to clear the fraction: 8y = -3x - 56.

Gwen will owe her parents a total of $309.

To represent the total amount Gwen owes her parents after borrowing $300 with 3% interest over a year, we can use the formula for simple interest:

[tex]\[ \text{Total amount} = \text{Principal} + \text{Interest} \][/tex]

Given:

Principal (P) = $300

Interest rate (r) = 3% or 0.03 (as a decimal)

Time (t) = 1 year

Now, plug the values into the formula:

[tex]\[ \text{Interest} = P \times r \times t \][/tex]

[tex]\[ \text{Interest} = 300 \times 0.03 \times 1 \][/tex]

[tex]\[ \text{Interest} = 9 \][/tex]

Now, add the interest to the principal to get the total amount:

[tex]\[ \text{Total amount} = 300 + 9 \][/tex]

[tex]\[ \text{Total amount} = \$309 \][/tex]

So, the equation to represent the total amount Gwen owes her parents is:

[tex]\[ \text{Total amount} = 300 + 300 \times 0.03 \times 1 \][/tex]

[tex]\[ \text{Total amount} = 300 + 9 \][/tex]

[tex]\[ \text{Total amount} = \$309 \][/tex]

Therefore, Gwen will owe her parents a total of $309.

Answer:

375

Step-by-step explanation: