A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by f (t) = -16t^2 + 96t. In how many seconds will the rocket be at a height of 128 ft above the ground?
Answer:
t = 2 s and t = 4 s
Step-by-step explanation:
A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by,
[tex]f (t) = -16t^2 + 96t[/tex]
We need to find in how many seconds will the rocket be at a height of 128 ft above the ground.
It means,
[tex]128= -16t^2 + 96t\\\\-16t^2+96t-128=0\\\\16(-t^2+6t-8)=0\\\\(-t^2+6t-8)=0\\\\-t^2+4t+2t-8=0\\\\t(-t+4)-2(-t+4)=0\\\\(t-2)=0\ and\ (-t+4)=0\\\\t=2\ and\ t=4[/tex]
So, it will be at a height of 128 feet at 2 second and 4 second.
Can you help me please?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.
I really need help. Pleeease. I'm begging you!
the answer is totally numbers
Which system of equations has no solutions? y -
Help meh- im d u m b
Answer:
[A] 0Explanation:
Lines of symmetry; A line that cuts a shape exactly in halfIf you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.
If you were to put a line of symmetry down on this triangle both sides would not match, therefore there are no lines of symmetry.There are zero lines of symmetry, therefore your answer is [A] 0Evaluate the expression for the given value of x.−4x + 7 for x = −4
Answer:
23
Step-by-step explanation:
-4x+7
-4(-4)+7=16+7=23
Answer:
23
Step-by-step explanation:
-4x + 7 =
-4(-4) + 7 =
16 + 7 = 23
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1 where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?
A)0.3 seconds
B)1.8 seconds
C)3.5 seconds
D)6.9 seconds
Answer: I think is none
Step-by-step explanation:
Tbh
Y=4-2x 3y-2x=4 solve using substitution
Answer:
x=1 y=2
Step-by-step explanation:
y=4-2x 3y=4+2x
3*(4-2x)=4+2x
12-6x=4+2x
12-4=2x+6x
8x=8
x=1
y=4-2*1
y=2
Help I need this now
Answer:
There is no question showing up so I dont know how to help u
Step-by-step explanation:
4,5,10,8,4,8,7,6 range
Answer:
10-4=6
Step-by-step explanation:
The range is the difference between the biggest and smallest number. In this case, 10 is the biggest number and 4 is the smallest. So we do 10-4, which gives us 6, so 6 is the range.
which linear any qualities could represent the given table of values
What is the value of the 3 in 16.35 ?
Answer:
3 tenths
Step-by-step explanation:
The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
We know, A number has two values face value and place value,
Given, A decimal number 16.35.
Now, The digit 3 is one digit after the decimal,
So, It has a face value of 3 and a place value of 3×10⁻¹.
learn more about face value and place value here :
https://brainly.com/question/23719802
#SPJ2
The boiling point of water is 212 degrees. To make a cup of tea, water is boiled, poured into a mug with tea leaves, and set to steep for 4 minutes. In that time, the temperature of the tea reduces to 115 degrees when it is in a room that is 68 degrees. Write an equation for the cooling curve of the tea in this particular room. Round parameters to the nearest 6th decimal place.
Answer:ugh is there an picture maybe i can understand it better?
Step-by-step explanation:
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
Please helppppp I’m almost done with itttt
The answer is [tex]\frac{5}{10}[/tex]
And that is correct
Answer:
5/10
Step-by-step explanation:
can be reduced to 1/2 or 0.5
4х + Зу = -6
5х – бу = -27
Answer:
x=3
y=7
Step-by-step explanation:
The difference in the price of 2 backpacks is $19.30. If one backpack costs $39.00, which of the answer choices could represent the price of the other backpack?
Answer:
$19.70 OR $58.30
Step-by-step explanation:
I say either or because I can't see the answer choices.
Its either adding or subtracting from the one backpack we know is $39.00
If we know the difference between the two is 19.30
39.00+19.30 = 58.30
39.00-19.30= 19.70
See if either of those are available :) Hope this helps! :)
Answer:
$19.70
Step-by-step explanation:
What is the simplest form of of this expression?
Answer:
B
Step-by-step explanation:
State the slope and y-intercept of the graph of y+2x=3
Answer:
Slope(m)=2x
y-intercept(b)=3
Step-by-step explanation:
Answer:
Slope is -2x, Y-Intercept is 3
Step-by-step explanation:
You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides
Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg
Mass= Density *Volume
9.86 g/cm3 *150 cm3 =1479g
1479 g to kilograms
1479g= x
1000g = 1 kg
x = 1479 g / 1000 x = 1.479 kg.
Simplify 5a – (2a + 6)
Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
..........................
Name the slope and y-intercept of the graph of 3x - 2y = 18 A. B. 2 3 -6 6 C. -3.-9 D. 2 -9
Answer:
D. 3/2, -9
Step-by-step explanation:
First, rearrange the equation 3x - 2y = 18 into the slope-intercept form of y = mx + b:
3x - 2y = 18
2y = 3x - 18
y = 3x/2 - 9
from this, u can tell that the slope is 3/2 and the y-intercept is -9 (option D)
hope this helps!
help i need help i really really need help no cap
A lot runs between two parallel streets. The length of the lot on one of the streets is 160-ft. The length of the lot on the other street is 100-ft. The area of the lot is 14,170 square feet. How far apart are the two streets?
Answer:
Step-by-step explanation:Area = 1/2(b1 + b2)x h
Area = 18,000 ft^2
b1 = 80 ft
b2 = 100 ft
18,000 = 1/2(80 + 100) x h
36,000 = (180)h
h = 36,000/180
h = 200ft.
This is the distance between streets.
Hope this helps :-)Area = 1/2(b1 + b2)x h
Area = 18,000 ft^2
b1 = 80 ft
b2 = 100 ft
18,000 = 1/2(80 + 100) x h
36,000 = (180)h
h = 36,000/180
h = 200ft.
This is the distance between streets.
Hope this helps :-)
Plssss help meee I need help
Answer:
no
Step-by-step explanation:
[tex]29^{2} \neq 20^{2} + 26^{2}[/tex]
Mary has a container filled with 20 ounces of cereal. Each day she eats 4.5 ounces
of cereal.
• Write an expression to represent the amount of cereal left after x days.
Answer:quin hill from ms Henry math class?!?!?!?! Why are you on brainly.....
Step-by-step explanation:3.1
Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years
Answer: £180
Step-by-step explanation:
The interest gotten for the 10 years will be calculated as:
= Principal × Rate × Time
= 150 × 2% × 10
= 150 × 0.02 × 10
= 30
The amount he has in the bank account at the end of the 10 year will be:
= Principal + Interest
= £150 + £30
= £180
pls HELP!! Jameson is taking a multiple-choice test and he doesn't know an answer. He can answer A, B, C, D or E. What is the probability that he will guess correctly? Give your answer as a percent.
This block of ice needs to be wrapped in a special reflective material to keep it from melting before the ice carving competition begins. How much reflective material is needed to cover the block completely, with any overlaps?
Question 5 options:
3.1 m2
1.144 m2
3.67 m2
6.7 m2