Height at an instance of time is given by :
h(t) = -4( t - 2 )² + 5 .....1
Differentiating above equation with respect to t .
[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]
Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .
8( t - 2 ) = 0
t = 2
Putting value of t = 2 in given equation, we get :
h( 2 ) = -4( 2 - 2 )² + 5
h( 2 ) = 5 m
Therefore, maximum height rocket can reach is 5 m.
Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster.
She writes the inequality as h > 48.
How can she graph the solutions of the inequality?
Plot an open circle at 48 and shade left.
Plot a closed circle at 48 and shade left.
Plot an open circle at 48 and shade right.
Plot a closed circle at 48 and shade right.
Answer:
Plot an open circle at 48 and shade right.Step-by-step explanation:
Answer:
C :)!
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 33, 28, 23, ....
Answer:
I believe it's an = 33 - 5(n - 1) or 38 - 5n they both should work
Step-by-step explanation:
I'm think that explicit formulas are like an = a1 +d(n - 1) and just replace the Variables with the correct numbers
(01.01 LC)Which two charges have a sum of 0?
+6 charge and +6 charge
0-6 charge and -6 charge
+6 charge and 0 charge
+6 charge and -6 charge
help how do yall find this easy i cannot-
Answer:
153/50 or 3.06
Step-by-step explanation:
Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.
Ex. (3/2)*(4/3)
There are exactly 18 liters of sports drink available to the tennis team. If each tennis player will be served 1/3 liters, how many players can be served?
Answer:
54
Step-by-step explanation:
it's so easy just do
18÷1/3=54 which is easir if you think it like 18×3=54
Answer:
54
Step-by-step explanation:
For every liter of sports drink, there is 3 players. You can use this problem to solve it y = 3x or now 54 = 3(18). Simply it is 3 * 18 is 54. 3 is from 3 people per liter.
In Colorado, there is a sales tax. If the price tag on the item was $12.55 and the total price you paid at the register was $13.05 what is the percent of sales tax paid? Round to the nearest whole percent.
A shopkeeper buys 10 television sets from a retailer at a rate of Euro 15,000 per set. He sells half of them at a profit of 25 % and rest half at a loss of 20%. Find the overall profit/loss faced by the shopkeeper.
Answer: Profit of $3,750
Step-by-step explanation:
Sold half of the sets at a profit of 25%;
= (15,000 * 5 sets) * 25%
= $18,750
Sold the other half at a loss of 20%;
= (15,000 * 5) * 20%
= $15,000
Profit (loss) = 18,750 - 15,000
= $3,750
What is the answer.........
Answer:
1 is correct
2 is correct
3 is incorrect
4 is incorrect
5 is correct
Step-by-step explanation:
1 is correct because the statue lies the same distance from both entrances.
2 is correct because B is also the same distance from both entrances.
3 is the opposite of 2, saying that B is not equal distance from both entrances, making it false.
4 is incorrect because a is closer to the upper entrance.
5 is correct because it is basically the same question as 2, saying b is the same distance from both entrances.
Which linear inequality is represented by the graph?
Answer:
The answer would be the last option. y<2/3x-1
Step-by-step explanation:
The slope is 2/3 and the line crosses the y axis at -1. Since the shaded part is below the line it would make the sign less than (<)
Find the slope of the line that passes through (6, 8) and (9, 10)
Answer:
m = 2/3
Step-by-step explanation:
The slope of the line is 2/3.
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
10-8/9-6
2/3
Jessica goes fishing with Benny. They catch 6 trout if they split up the trout how much will each get
Answer:
6/2 = 3
Step-by-step explanation:
there are 2 people, when you divide the 6 trout by the 2 people, they will each get 3 fishes
Please help me with this
Answer:
The length= 16cm
The width= 6cm
The two long sides are 8cm both so 8 + 8 = 16
And the two short sides are 3cm both so 3 + 3 = 6
So your length should be 16cm and your width 6cm
I HOPE THIS HELPS! ∧ ∧
⊂∵→ω←∵⊃
A $10,000 investment earns 8% interest per year. To the nearest dollar, how much will the investment be worth after 10 years?
Answer:
$18,000
Step-by-step explanation:
10,000+800 (the 8%) =made in 1 year
800 * 10= 8,000
The value of y varies directly with x. If x = 4, then y = 268. What is the value of x when y
= 938?
Answer:
14
Step-by-step explanation:
268/4=67
So, x=67y.
938/67=14
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
132
Corresponding Angle
Vertical Angle
Alternate Interior Angle
Alternate Exterior Angle
What is the sum of |–8| and (the opposite of 6)
Answer:
2
Step-by-step explanation:
|-8| + (-6)
8 - 6
2
Best of Luck!
5x – 18 > 2(4x – 15).
Answer:
x<4
Step-by-step explanation:
5x-18>2(4x-15)
5x-18> 8x-30
-18>3x-30
12>3x
4>x
x<4
Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?
Answer:
20/7
Step-by-step explanation:
hope this helps, but basically you divide 20 yards by 7 to get the width of each row
Answer:
8 4 / 7
Step-by-step explanation:
Please help me I need the answer for this question. correct one please
solve for x thank you
Answer:9
Step-by-step explanation:
The answer got to be 6. So 6+3=9
The table shows the cost for different numbers of t-shirts.
T-shirts
Cost
3
$38.85
5
$64.75
6
$77.70
Determine if the relationship is proportional and write the constant of proportionality. If it is not
proportional, write “NP”
Answer:
proportional bc all of them are 1 shirt = 12.95
The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)
Answer:
The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
Step-by-step explanation:
Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.
–42ft, –20ft, –18ft, –8ft.
From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
help meeee please math
Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18
Answer:
A. 4.5
Step-by-step explanation:
Jamal drew the function below. Which explains whether or not his function is linear?
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answer:
A it is linear because it has a constant rate of change
Answer:
A.
Step-by-step explanation:
I just finished the test and got it right
HELP ME ASAP PLEASE!!!!!
Answer:
88
Step-by-step explanation:
46= x° ( isosceles angles )
Now, taking all side of the triangle
46+46+y =180 ( sum of all side of triangle )
or, y= 180 -92
y = 88°
Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0
Answer:
0.03
Step-by-step explanation:
3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.
Answer:
A
Step-by-step explanation:
3/100=0.03
:))) Helps?
If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14
If anyone could help me please on number 4
A. 3
B. -3/4
C. -1
D. 2
Answer:
it got to be b the 4 is on the line 3 so be -3 and 4 postive