The ball takes approximately a time of 2.041 seconds to reach its maximum height.
What time does the ball take to reach maximum height?
The height of the ball as a function of time is modelled by a quadratic equation, the required information can be found by transforming the expression into vertex form:
h = - 4.9 · t² + 20 · t + 12
h = - 4.9 · (t² - 4.082 · t - 2.449)
h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)
h - 32.414 = - 4.9 · (t - 2.041)²
The ball takes approximately a time of 2.041 seconds to reach its maximum height.
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10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
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Write the word sentences as an equation! Half of a number q is 14.
Answer:
q/2=14I hope this helped you :)
Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır
Step-by-step explanation:
bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar
Can you help me here pls thx very much What is 52% of 25
Answer:
13
Step-by-step explanation:
Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points
Answer:
14 points in between
Step-by-step explanation:
just count how many spaces are in between those points on the graph
Elizabeth picked ⅔ off a row of strawberries from her garden. How many rows will Elizabeth have picked if she does this for 4 days?
David needs to travel 111 kilometers. Driving at a constant rate, he expects the trip to take him 3 hours. At what constant rate does David expect to drive?
Answer:
37 i got it right on the test
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
i just got it right
round 3 2/3 to the nearest whole number
Answer:
3 2/3 can be converted into proper fraction like this
3*3+2←numerator
3 itself ← denominaor
So, we have 11/3
Nearest to 11/3 will be 4
You earn 3.5% commission as a car salesperson. If your sales for the month of February amount to $42,500, how much commission pay should you earn?
Answer:
$43987.50
Step-by-step explanation:
3.5% of $42,500 is
(3.5 x 42500):100 = $1487.5
So, add that number onto the price of the sales from feb.
What is the value of 21/8 divided by 3/4.
Select the correct answer.
The table represents quadratic function g. Which statement is true about the function?
-5
-4
-3
-2
-1
0
- 1
0
-1
-4
-9
- 16
A.
The maximum occurs at the function's x-intercept.
B.
The minimum occurs at the function's x-intercept.
C.
The maximum occurs at the function's y-intercept.
D.
The minimum occurs at the function's y-intercept.
What is the average rate of change in temperature from February to May?
Answer:
27 degrees
Step-by-step explanation:
what is the sum of213,857?
Answer:
1079
Step-by-step explanation:
213
+857= 1070
sum means addition .
Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x
F(3) + G(4) - 2H(5) =
Answer:
These are functions, you must operate accordingly
Step-by-step explanation:
is the 2 in 3x2 an exponent
if it is the answer is 81
De acuerdo a la siguiente imagen, selecciona la opción que muestre la operación que permite llegar al número encerrado en color rojo.
Answer:
2?
Step-by-step explanation:
I think im wrong/ creo que estoy mal?!
Solve The systems of equation using any method
4×+3y=2 3x-3y=-9
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Area of the Net is incorrect
Step-by-step explanation:
Base Surface Area = π×12^2
= 452.38934211693 inches^2
Lateral Surface Area = π×12×√12^2 + 15^2
= 724.1762903163 inches^2
Total Surface Area = 1176.5656324332 inches^2
find the value of Tan 45°
Answer:
The exact value of tan(45°) is 1
Step-by-step explanation:
I hope it's helpful!
5/6+5/12
For brainliest
Answer:
5/4
Step-by-step explanation:
5/6+5/12
or, {(5×2)+5}/12
or, 15/12 = 5/4
Evaluate 4x - 2y when x= -5 y= -3
Answer:
-14
Step-by-step explanation:
4x-2y x=-5 y=-3
4(-5) -2(-3)
-20+6
-14
If its correct i will appreciate brainliest
Answer:-14
Step-by-step explanation:
4x-2y x=-5 y=-3
4(-5) -2(-3)
-20+6
-14
HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!
Answer:
the last one on the bottom
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
What types of numbers are Irrational numbers? A)Whole Numbers (positive and negative) B)Repeating Decimals C)Decimals that Terminate D)Decimals that never end
Answer:
Whole numbers, repeating decimals, and decimals that never end
Step-by-step explanation:
is 3/7 in lowest terms
Answer:
Yes
Step-by-step explanation:
Yes because because you can't simplify it more and it's just in fraction form decimal form the answer would be 0.42857142857143.
What is the height of a right triangle if its other two sides are 30 centimeters and 10 centimeters long?
Answer:
Step-by-step explanation:
It depends on whether the 30 cm side is the hypotenuse, or one of the legs.
If the 30 cm side is the hypotenuse, then the third side is √(30^2-10^2) = √800 = 20√2 cm
If the 30 cm side is one of the legs, then the hypotenuse is √(30^2+10^2) = √1,000 = 10√10 cm
a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]
[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]
[tex] V_{box} =l^3 [/tex]
[tex] V_{box} =(10)^3 [/tex]
[tex] V_{box} =1000\: In^3 [/tex]
Percentage of the space in the box occupied by the ball
[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]
[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]
[tex] = \frac{1570}{3000} \times 100 [/tex]
[tex] = \frac{157}{3} [/tex]
[tex] = 52.33\% [/tex]
I need help asap
I will need help finding a and b
Answer:
(a) [tex]s = 2.56[/tex]
(b) [tex]s = 1.71[/tex]
Step-by-step explanation:
Given
Tables (a) and (b)
Required
Determine the standard deviation
For (a):
[tex]\bar x = 11.5[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }[/tex]
[tex]s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }[/tex]
[tex]s = \sqrt{6.55}[/tex]
[tex]s = 2.56[/tex]
For (b):
[tex]\bar x = 4.4[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}[/tex]
[tex]s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}[/tex]
[tex]s = \sqrt{2.92}[/tex]
[tex]s = 1.71[/tex]
for each ordered pair determine wheatear it is a solution to 2x
F(x)= 3x+4
find inverse, domain, at range of the function and it's inverse.
Answer:
12
вот правильный ответ
use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary
Answer:
c)
Step-by-step explanation:
çünkü öyle olmalı
Need answer fast please I will give brainliest to first person with answer
Answer: add 7, giving 9, result by 6, giving x=54
Step-by-step explanation: