Answers
Answer:
time = 0.4, height = 24.8mStep-by-step explanation:
We need to find the coordinates of the vertex of the parabola.
[tex]f(x)=ax^2+bx+c\\\\v(p,\ q)-\text{vertex}\\\\p=\dfrac{-b}{2a};\ q=f(p)[/tex]
We have
[tex]h(t)=24+4t-5t^2=-5t^2+4t+24\\\\a=-5,\ b=4;\ c=24\\\\p=\dfrac{-4}{2(-5)}=\dfrac{-2}{-5}=\dfrac{2}{5}=0.4\\\\q=h(0.4)=-5(0.4)^2+4(0.4)+24=-5(0.16)+1.6+24\\\\=-0.8+25.6=24.8[/tex]
Related Questions
Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?
Answers
Answer:
51.9 miles
Step-by-step explanation:
distance = speed * time
d = 59.3 * 7/8
d = 51.8875 miles
rounded
51.9 miles
50 Points! Please only answer if you know! Thank you.
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
Answers
Answer:
See belowStep-by-step explanation:
A) 3x - 9y > 27
x- intercept at y = 0 is:
3x = 27x = 9y-intercept at x = 0 is:
- 9y = 27y = -3Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).
B) (y-3) ≤ -4/3 (x+7)
Use one point from the equation:
(-7, 3)Find the second point using the slope - 4/3, add 3 to x and - 4 to y:
x = -7 + 3 = - 4y = 3 - 4 = - 1Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).
Shade the area below the line (because y ≤ ).
Evaluate the expression -2
Answers
Answer: 2x for x=3: 2(3) = 6.
Step-by-step explanation:
Use the commutative property to simplify the expression 1/8 x 2/5 x 16?
A. 16 x 1/8 x 2/5 = 2x 2/5 = 4/5
B. 2/5 x 1/8 x 16 = 2/40 x 16 = 3/4
C. (1/8 + 2/5) x 16 + 32/5
D. 1/8 x (2/5 x 16) = 2/5
Answers
can someone please help me with this one question!
Answers
Answer:
RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND
The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world
Answers
Answer:
0.3 inches
Step-by-step explanation:
2.5% = 0.025
The smallest frog is 12 * 0.025 inches, which is 0.3 inches.
a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle?
Answers
Answer:
Hello! After reading your question I have deduced that the correct answer is 288² cm.
Step-by-step explanation:
The way I came to this conclusion was as follows:
Firstly:
If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.
This is because all four sides of a square have to be equal.
Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.
Thus both of the squares are going to be the same size, so they will have the same area.
Secondly:
If the area of one square is 144² cm then the area of the other square should also be 144² cm.
Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.
I hope this helped!
A Subchapter S corporation:
is similar to a partnership in that it carries unlimited liability.
is a separate legal entity which is treated like a normal corporation.
has all the organizational benefits of a corporation and its income is only taxed once.
all of the above.
Answers
please i need help
How many rows of seats are inside the theater? Enter your answer in the box.
Answers
Answer:
24 rows
Step-by-step explanation:
384 seats in total, and 16 chairs in a row, so 384/ 16=
24 rows
Hope this helps!
LMK if it does
Which expressions are equivalent to (13x+x−53x)−(−43x+2) ?
Answers
Answer:
4x+2
Step-by-step explanation:
(13x+x−53x)−(−43x+2)
Group all the same variables on each side.
(-39x)-(-43x+2)
-39x+43x+2
4x+2
Hope this helps :)
Answer: x-2 & -2-x+2x
Step-by-step explanation:
Subtract and simplify. 12 3\8 − 9 1\8 =
Answers
Answer:
[tex]3\dfrac{1}{4} \ \ or \ \ 3,25[/tex]
Step-by-step explanation:
[tex]\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25[/tex]
help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,
Answers
Answer:
42.5 inches
Step-by-step explanation:
Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.
Answer:
Logan is 42.5 inches
Step-by-step explanation:
half of Ivan is 37.5
Logan is 5 inches taller than 37.5 so 42.5
Hope this helps!
Let me know if it does and if the answer is right
Please help and give real answers it would be much appreciated
Answers
Answer:
x = 8, x = 10
Step-by-step explanation:
[tex]\sqrt{4x - 31}[/tex] = x - 7 ( square both sides )
4x - 31 = (x - 7)² ← expand using FOIL
4x - 31 = x² - 14x + 49 ( sub 4x - 31 from both sides )
0 = x² - 18x + 80 ← in standard form
0 = (x - 8)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 8
left side = [tex]\sqrt{4(8)-31 }[/tex] = [tex]\sqrt{32-31}[/tex] = [tex]\sqrt{1}[/tex] = 1
right side = 8 - 7 = 1
Then x = 8 is a solution
x = 10
left side = [tex]\sqrt{4(10)-31}[/tex] = [tex]\sqrt{40-31}[/tex] = [tex]\sqrt{9}[/tex] = 3
right side = 10 - 7 = 3
Then x = 10 is a solution
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
(x-1) (x-4) is the answer
A rope is 225 centimeters long.
You need the rope to be 1.5 meters long.
How many centimeters should you cut off?
Answers
Answer:
1.5 meters = 150 centimeters (multiply by 100)
Therefore, you should cut off [tex]225-150=75[/tex] centimeters.
write the percent as a decimal .84
Answers
Answer: 84%
Step-by-step explanation:
It’s 84% by the way
A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.
A.
75 feet
B.
87 feet
C.
112 feet
D.
150 feet
Answers
Answer:
C
Step-by-step explanation:
Pythagorean theorem
A^2 + B^2 = C^2
Celia's scores in the 5 quizzes Math are 18,12,15,19. What is her average score in Math?
d. 18
a. 15
c. 17
b. 16
Answers
Step-by-step explanation:
(18+12+15+19)÷5
64÷5
15
Explanation
(18+12+15+19)/4
64/4
16
A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour?
Answers
Answer:
5/3 cups of flour
Step-by-step explanation:
3/1=5/x x representing the amount of water
cross multiply: 3x=5
divide by 3: x=5/3
which of the following explains why 2/3(x+3)=2/3(x-6)has no solution
Answers
Answer:
D. The coefficients are the same, and the constants are different
Step-by-step explanation:
This means that because we have the same coefficient (2/3), if we wanted the same equation, the constants (x +/- #) would have to be the same, and since they are not in this instance, that makes the equation false, and therefore has no solution
If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)
Answers
Answer:37.5
Step-by-step explanation:
2 1/2 as an improper fraction is 5/2
If i'm wrong tell me please i hope this helped you
What is an equation of the line that passes through the points (-2,1) and (6,-7)
Answers
what is the probability of a 200 year flood this year
Answers
Answer:
0.5 chance
Step-by-step explanation:
Likewise, the term "100-year storm" is used to define a rainfall event that statistically has this same 1-percent chance of occurring.
Answer:
0.5
Step-by-step explanation:
The possibility are very very very low, but never a no
4) 4+ 1 =
a) 5
b) 572
12
c) 51
d) 572
6
12
Answers
Answer:
4+1=5
Step-by-step explanation:
Note down the below rules
(+)(+)=(+)(-)(+)=(-)(+)(-)=(-)(-)(-)=(+)The graph of g(x) = x + 2 is a translation of the graph of the parent function 2 units [ A. right , B. left , C. up , D. down ].
The graph of g(x) = 3(–x) is the graph of the parent function stretched vertically and reflected across the [ A. x-axis, B. y-axis ].
The graph of g(x) = (5x) is a [ A. vertical stretch, B. vertical compression, C. horizontal stretch ,D. horizontal compression ] of the graph of the parent function.
Answers
Answer:
Step-by-step explanation:
1. C
2. B
3. D
Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 96 patients?
OA. 576 hours
Answers
Step-by-step explanation:
set up a proportion
12 patients. 96 patients
---------------- = ------------------
2 hours. ?
96 • 12 = 1152
1152 ÷ 2 = 576 hours
Answer:
16hours
Step-by-step explanation:
12=2
96=x
crossmultiply
12x=192
x=192÷12
x=16
write an equation to represent CJ’s total pay
Answers
Answer:
P = 15h
I hope it helps.
1. What percent of 120 is 18?
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
120 · 15% = 18
I hope this helps!!
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories. Determine how many calories 14 brownies would have. Round to the nearest calorie
Answers
The number of calories in 14 brownies is 233 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
A similar question was answered here: https://brainly.com/question/15420908
Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct?
Answers
Answer:
He got 75% correct
Step-by-step explanation:
72/96 = 3/4 = 0.75
0.75 × 100 = 75%