Estimate the product of 75x5
Answer:
375
Step-by-step explanation:
An object is launched vertically in the air at 24.5 meters per second from a 11-meter-tall platform. Using the projectile motion model h(t)=-4.9t^2+v0t+h0, where h(t) is the height of the projectile t seconds after it’s departure, v0 is the initial velocity in meters per second, and h0 is the initial height in meters, determine how long it will take for the object to reach its maximum height. What is the maximum height?
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.
What's the correct name for the polygon below?

A. Octagon B. Nonagon C. Pentagon D. Heptagon
Judy thought of a number, subtracted 11 from it, divided the result by 8 and then added seven to it and got an answer of 10. What is Judy's number?
gwen borrows $300 from her parents to buy a bike she agrees to pay them back plus 3% intrest over year write an equation to represent the total amount she owes her parents? what is the total amount she will owe her parents?
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.
1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
2. If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules
3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules
how many twelfths are in 3?
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.
In a lottery game you pick ine number from 000 to 999. If you pick one such number, what is the probability that you will win the lottery
y=-3/8x-7 in standard form
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.
Move the 'x' term to the left side by adding 3x to both sides: 3x + 8y = -56.The equation now is in standard form; however, typically, we want A to be positive. Since our A is already positive, we are done.In a standard normal curve, what percentile corresponds to a z score of 1.0?
Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. (3 points)
Equation #1
|2x - 3| = -17
Equation #2
|5x + 3| = 12
a-Equation #1 and Equation #2 have the same number of solutions.
b-Equation #1 has more solutions than equation #2.
c-Equation #1 has fewer solutions than equation #2.
d-None of the statements above describe the number of solutions to equations shown.
Dan is calculating the volume of two cylinders. Cylinder A has a radius of 2 feet and a height of 4 feet. Cylinder B also has a height of 4 feet, but the radius has been doubled. Which statement best describes the relationship between the volumes of the two cylinders?
cylinder B is 4 times the size of A
The bottom floor of a parking garage has an elevation of -36 feet. The top floor is 124 feet higher. What is the elevation of the top floor
12+5x-8=2(6X-5)
show all work plz
how would a weather reporter say 0.103 meters of snow
630 meters in 18 seconds write this ratio as a unit rate
divide 630 by 18
630/18 = 35
so unit rate would be 35 meters per second
Write 2.1111111 as a mixed number
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?
A scatter plot is used to visualize the association between two quantitative variables tru false
what is the distance between points A and B?
A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that the mouse population is doubling every year. (a) find a function that models the number of mice m after t years.
4 different math books, 6 different physics books and 2 different chemistry books are to be arranged on a shelf. how many different arrangements are possible if
What is 2 2/5 x 1/4=
Simplify. 14.2 • (–6) ÷ 15 • (–4) ÷ 0.4 A. –56.8 B. –3.55 C. 56.8 D. 3.55
The perimeter of a rectangular field is 380yd. The length is 50 yd longer than the width. Find the dimensions.
The length of the given rectangular field is 120 yd while the width is 70 yd.
What is a rectangle?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.
For more about rectangles,
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How many integers between 14 and 3,452 can be divided by 42 with a remainder of zero?
If c – 8 is an odd integer, which of the following could be the value of c?
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.
Explanation: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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Jill wants to put 45 sunflower seeds, 81 corn plants, and
63 tomato plants in her garden. If she puts the same
number of plants in each row and if each row as only
one type of plant, what is the greatest number of plants
that Jill can put in one row?
Show how to equate
- 15 + 12.8
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:
Consider the two numbers: -15 (a negative integer) and 12.8 (a positive decimal).When adding a positive number to a negative number, subtract the smaller absolute value from the larger absolute value.The absolute values are: |12.8| = 12.8 and |-15| = 15. So, subtract 12.8 from 15.15 - 12.8 = 2.2Since the larger absolute value is from the negative number (-15), the result will be negative.Therefore, the solution is -2.2.So, -15 + 12.8 equates to -2.2.