Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds
Answer:
13 seconds.
Step-by-step explanation:
Given
[tex]h = -4.9(t - 13)(t + 2).[/tex]
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes
[tex]0 = -4.9(t - 13)(t + 2).[/tex]
Divide through by -4.9
[tex]0 = (t - 13)(t + 2).[/tex]
Reorder the expression
[tex](t - 13)(t + 2) = 0.[/tex]
Split
[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]
This gives:
[tex]t = 13[/tex] or [tex]t = -2[/tex]
But time can't be negative, So:
[tex]t = 13[/tex]
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
Solve the following system of equations:
x − 2y = 14
x + 3y = 9
Answer:
(12, - 1)
Step-by-step explanation:
x - 2y = 14 ......... (1)
x + 3y = 9 ......... (2)
(2) - (1)
(x - x) + (3y - ( - 2y)) = 9 - 14
5y = - 5 ⇒ y = - 1
x + 3( - 1) = 9 ⇒ x = 12
(12, - 1)
30 % =30/50 =0.30
IT MEANS 30 %
Answer:
0.30 does mean 30%
Step-by-step explanation:
Write the slope intercept form of the equation of each line given the slope and y intercept
Answer:
11) y= -1x-2
12) y= 3/2x+3
13) y= 3x-2
14) y= 3/4x+1
15) y= 1/2x+1
16) y= -2/5x+0
17) y=7x+2
18) y= 4/3x-4
Step-by-step explanation:
y=mx+b
m is slope and b is y intercept
A mountain climber records her altitude and the surrounding temperature at various points as she ascends a mountain. She then plots the points on a scatter plot and draws a line of best fit. The equation of the line is y=−3.6x+59 , where x is the altitude in thousands of feet and y is the temperature in degrees Fahrenheit (°F). What does the slope of the equation represent in this scenario?
Answer:
-3.6
Step-by-step explanation:
The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.
The equation of the line in the question above is y= −3.6x + 59 ,
Therefore comparing both equations together,
y = mx + c = y = −3.6x + 59
m = -3.6
Therefore, the slope of the equation represent in this scenario is -3.6
Ezra has two weeks to sell popcorn to earn money for camp. For each unit of popcorn that he sells, Ezra will earn $5. He wants to earn at least $250
. During the first week he earned $105.
How many units of popcorn must Ezra sell in the second week to earn at least $250 in the two weeks combined?
The number of units that needs to be sold to earn at least $250 is 20.
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The minimum amount that needs to be earned = $250
One unit cost = $5
The amount earned in the first week = $105
Number of units = x
The number of units to sell in the second week.
150 + 5x ≥ 250
5x ≥ 250 -150
5x ≥ 100
x ≥ 20
Thus,
20 units need to be sold to earn at least $250.
Learn more about inequalities here:
https://brainly.com/question/20383699
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The city of Atlanta is growing at a rate of 2.04% each year. The 2019 population of Atlanta is 486,290 people.
What would be the Each year would it be 1 or 365?
Answer:
1
Step-by-step explanation:
The "each year" would be represented as a 1. Using the number 365 would represent the days in a year but not the entire year as a whole. For example, if we were to apply the 2.04% population increase to the population of 486,290 then that would give us the new population for the year 2020 which is 1 year more than 2019.
HELP PLS!!!!!
Jason, Mario, April, and Tiffany each set a goal to run 20 miles a week. This table shows how much of each runner's goal has been met.
Which list shows the numbers in the table in order from least to greatest?
35, 0.35, 58, 58%
0.35, 35, 58, 58%
0.35, 58%, 35, 58
35, 0.35, 58%, 58
Answer:
0.35, 58%, 35, 58
Step-by-step explanation:
58% = .58
holaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
HIIIIIIIIIIII
Step-by-step explanation:
State the angle bisector theorem.

The temperature falls from -7°C to -20°C. What is the change in these temperatures?
Answer:
13 degrees Celsius
Step-by-step explanation:
To solve this question, you need to subract -20 from - 7.-7-(-20) is 13.
In the fraction 7/8, the numerator denominator is 7.
7/8 is the fraction
7 is the numerator
8 Is the denominator
Answer:
hhshshidhidhsd
Step-by-step explanation:
how you feel about that????
Me ayudan por favor
Answer:
yo no se puerdon
Step-by-step explanation:
What is (6×5-6) +56
Answer:
(6x5 -6) +56
(30-6) +56
24+56
80
Step-by-step explanation:
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?
Answer:
6
Step-by-step explanation:
brainest plz
PLEASE HURRY!!
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each
text message. How many text messages does Juan send in a month if his bill was $52?
1.
Define the variable:
2.
Determine the constant:
3
What is the rate:
4
Write the equation and solve:
Juan sent 34 text messages.
First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.
-3x-6y=6 y=x+8 infinite solution no solution one solution
Answer:
3x-6y=6
y=x+8
3x - 6(x+8) = 6
3x - 6x - 48 = 6
-3x - 48 = 6 / +48
-3x = 54 // -3
x = - 18
y = -18 +8 = 10
Step-by-step explanation:
Helpppppppppppppppppppppp
Answer:-4
Step-by-step explanation:
idk this plz help me
Answer:
1. {12,0}
hope it helps.
Answer:
3 and 4
Step-by-step explanation:
X - 9y = 12 If x=3 and y=-1
3 - (9*-1) = 12
3 +9 = 12
12 = 12
and
X - 9y = 12 If x=0 and y=-4/3
0 - (9 * -4/3) = 12
0 + 12 = 12
12 = 12
What type of decimal is this fraction: LaTeX: \frac{11}{20}
terminating
neither
both
repeating
11/20
Divide 11 by 20 to find the decimal value.
11/20 = 0.55
The decimal only contains two numbers, so it is a terminating fraction.
The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys? REPOST FOR ATTENTION
Answer:
15:10
Step-by-step explanation:
consider the starting point: we have 3 bots and 2 girls. this gives a total count of 5 so we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25 so we have 5 lots of the ratio 3:2 Method: 5 lots of 3:2: 5 x (3:2)=(5 x 3):(5 x 2)= 15:10
which point is on the graph of f(x) = 6x?
answer: (1,6)
Find the range for the domain {-3, 1,4.5} f(x) = 2x
Answer:
Step-by-step explanation:
f(x) = 2x2
Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}
Help me plz grades are almost due
Answer:
D. 348 square units
Step-by-step explanation:
D. 348 square units
Answer 432: B
Step-by-step explanation: You have to multiply
9 times 6 times 8.
Whats the answer please explain your answer giving brainliest:D..
Answer:
It is the first one
Step-by-step explanation:
What is the solution to the equation 3x+1-6x=72
Answer:
hope this helps
Step-by-step explanation:
Answer:
=−71/3
Step-by-step explanation:3
+
1
−
6
=
7
2
{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72
3x+1−6x=72
−
3
+
1
=
7
2
{\color{#c92786}{-3x}}+1=72
−3x+1=72
2
Subtract
1
1
1
from both sides of the equation
−
3
+
1
=
7
2
-3x+1=72
−3x+1=72
−
3
+
1
−
1
=
7
2
−
1
-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}
−3x+1−1=72−1
3
Simplify
Subtract the numbers
Subtract the numbers
−
3
=
7
1
-3x=71
−3x=71
4
Divide both sides of the equation by the same term
−
3
=
7
1
-3x=71
−3x=71
−
3
−
3
=
7
1
−
3
−3−3x=−371
5
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−71/3
x=-\frac{71}{3}
x=−371
Find the exact length of the third side.
60
48
I’m stuck in this helppp
The design plans for a new concert hall shows elevations relative to the ground level at 0 feet. The elevation of the balcony is 37 feet and the elevation of the basement floor is -17 feet. Full in the blanks to write the distance of the balcony and basement from ground level
Answer:
54 feetStep-by-step explanation:
The distance from the balcony to the ground level = 37 - 0 = 37ft
The distance from the basement floor to the ground level = 0 - (-17) = 17 feet
the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)
= 37 + 17
= 54 feet
Hence the distance of the balcony and basement from ground level is 54 feet
Solve for x
(x+3)^2
A. x^2 + 3x + 2
B. 2x^2 + 3x + 2
C. x^2 + 6x + 2
D. x^2 + 6x + 9
Answer:
D. x²+6x+9
Step-by-step explanation:
—Math(x + 3)² = (x + 3)(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
follow my account ^^
Answer:
D.) just took the Unit Session
Step-by-step explanation: