Answer:
26.5 units
Step-by-step explanation:
The height of the ball at any time t is given by :
[tex]h(t)= -16t^2 + 40t + 1.5[/tex] ...(1)
We need to find the maximum height of the ball.
For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
i.e.
[tex]\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s[/tex]
Put t = 1.25 in equation (1) to find the maximum height.
So,
[tex]h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units[/tex]
So, the maximum height reached by the ball is 26.5 units.
Graph the line y = x + 6.
To graph a line, plot any two points on the line.
Your Graph would look like this
Step-by-step explanation:
can someone please help with this? will give brainliest
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
pls I need help now............Carlos is at the grocery store shopping for oranges. 4 pounds of oranges costs $3.25. When he returns home, he realizes that he actually needed to buy 9 pounds of oranges. He plans to return to the store to buy more oranges so that in total he has 9 pounds.
Answer:
4.0625
Step-by-step explanation:
All you have to do is divide 3.25 from 4 which will give you 0.8125.
Knowing that you need 5 pounds only. you mulitiply 5 from 0.8125 which gives you the 4.0625
What is the image of (9, 3) after a dilation by a scale factor of 3 centered at the origin?
Answer:
(27, 9)
Step-by-step explanation:
Hope that helps!
Answer:(27, 9)
Step-by-step explanation:
Write each product in standard form. (y+ 9)(y+ 9)
Answer:
y² + 18y + 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(y + 9)(y + 9)
Step 2: Expand
FOIL: y² + 9y + 9y + 81Combine like terms: y² + 18y + 81Calculate the variance.
Answer:
112500000???
Step-by-step explanation:
the turnout for the game is expected to reach 80,000 fans of which 57% expected to drive. An average of three fans come in each vehicle 2000 vehicles park in satellite lots the rest of the vehicles parked in the stadium lot how many vehicles parked in the stadium lot
Answer:
13,200 vehicles
Step-by-step explanation:
57% of 80,000 is 45,600
3 people per car for 2000 vehicles is 6,000
45,600-6,000=39,600
lastly 39,600/3=13,200
help pls
The quantities I and y are proportional.
y
12
36
18.
54.
25
75
Find the constant of proportionality (7") in the equation y = rx.
cevap:y=5 inşallah faydalı cevaptır
I need help please. Also check out my other question
Answer:
8 Km.Explanation:
I'm going to turn the fractions into decimals2 ½: 2.5
3 ⅕: 3.2
Formula for the area of a parallelogram: A = b(h)Base: 3.2
Height: 2.5
3.2 · 2.5 = 8
The area of the parallelogram is 8 Km.John ordered three lobsters.the fist o e weighed 3.2 pounds,the second weighted 1.75 pounds,the third 1.9 pounds what is the total weight of the three lobsters
Answer:
6.85 pounds
Step-by-step explanation:
3.2+1.75+1.9=6.85
find the area of the hexagon
Answer:A=33
2a2
Step-by-step explanation:look i dont know the whole answer but i hope this helps for a regular hexagon
y'all I need help asap
Answer:
Let's solve for x.
4x+5y=7
Step 1: Add -5y to both sides.
4x+5y+−5y=7+−5y
4x=−5y+7
Step 2: Divide both sides by 4.
4x/4=−5y+7/4
x=−5/4 y+ 7/4
Answer: for the first one x=−5/4 y+ 7/4
3x−2y=−12
Step 1: Add 2y to both sides.
3x−2y+2y=−12+2y
3x=2y−12
Step 2: Divide both sides by 3.
3x/3=2y−12/3
x=2/3y−4
Answer:
x=2/3y−4
Step-by-step explanation:
2000:$5.00 2015:6.50 what is the change in the cost of the cheeseburger
Solve For X. Solve similar triangles (advanced)
The value of x in the given similar triangles ADB and BCE is 4.5.
To solve for x in the given similar triangles ADB and BCE, we can set up the proportion of corresponding sides:
In triangle ADB, we have:
AB/BD = x/DE
Substitute the given values:
3/4 = x/6
Now, cross-multiply and solve for x:
3 * 6 = 4x
18 = 4x
x = 18/4
x = 4.5
So, the value of x is 4.5.
To know more about similar triangles, refer here:
https://brainly.com/question/29731302
#SPJ6
What would you multiply by to decrease a number by 22.5%
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Please solve in slope intercept form.
Answer:
Step-by-step explanation:
I zm pretty sure its the first 1
Find the amount of the principal on a loan at 6% interest for 140 days if the interest was $253.15, using the exact interest method. (Round to the nearest whole dollar amount)
Answer:
$11,000
Step-by-step explanation:
Given that :
Time, t = 140 days = 140/365 = 0.3835years
Interest paid = 253.15
Interest % = 6%
Principal, p =?
Using the relation :
Interest = principal * rate * time
253.15 = p * 0.06 * (140/365)
253.15 = 0.0230136p
P = 253.15 / 0.0230136
P = 11000.017
Hence, the principal amount = $11,000
The diameter of a circle measures 22 yd. What is the circumference of the circle?
Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
69.08 yd
Step-by-step explanation:
22 times 3.14 = 69.08 yd
if a loan is taken out for $991 at 3% and cost 267.57 dollars how long was the loan for
Answer:
9 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
t = 267.57 / ( 991 × 0.03 ) = 9
t = 9 years
The time required to
accumulate simple interest of $ 267.57
from a principal of $ 991.00
at an interest rate of 3% per year
is 9 years.
what is the square root of 8
Answer:
2.82842712475
Step-by-step explanation:
√8 = 2.82842712475
Which pair of angles are alternate exterior angles ?
8 and 1 are alternate exterior angles.
Answer:
<8 and <1
Step-by-step explanation:
<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.
Hope this helps, thank you !!
please help asap!!!!
A culture started with 2,000 bacteria. After 8 hours, it grew to 2,400 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number.
Answer:
2950 [Starting from 2,000 bacteria.]
Step-by-step explanation:
400/8 = 50
Bacteria grown/time = bacteria per hour
19x50 = 950
time x bacteria per hour = bacteria grown
2000 + 950
bacteria started + bacteria grown
what is the area of this triangle enter your answer in the box
Answer:
72
Step-by-step explanation:
A triangle's area is base * height * 1/2.
Plug in the values they give.
18 * 8 * 1/2 = area
area = 72
3(x – 4) = 2(–2x + 1) x=
Answer:
X=2
Step-by-step explanation:
3x-12=-4x+2
7x-12=2
7x=14
x=2
Please can you help me on this equation.I just cant seem to solve this though i mostly don't need help.Thank you [tex]\frac{1}{x^2+1} -\frac{x^4}{x^2+1}+\frac{x^4}{x^2-1} -\frac{1}{x^2-1}[/tex]
Answer:
2
Step-by-step explanation:
combine like denominators:
(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)
factor:
(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)
reduce:
(1-x^2)+(x^2+1)
1+1=2
The sun of two numbers is 10. The difference between the two numbers is 4.
Answer:
7 and 3
Step-by-step explanation:
Please help it's due today. Also please don't help if you don't know.
w = 24
work=
1000⁸=10w
write the expression in exponential form with the base of 10
10²⁴=10w
since the bases are the same, set the exponents equal
w=24
The graph models the population of a species of moth as a function of days since the count began.
What does the y-intercept represent?
The population will continue to increase.
The population when the count began was 125,000.
On day 125, there were 0 moths remaining.
The population after 60 days was 20,100.
Answer:
Here is the correct answer sorry that I am late, but hope this helps others! Have a nice day! And also this really helpful for k12 students!
Answer:
The population when the count began was 125,000.
is the correct answer
B.
Step-by-step explanation:
What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4
Answer:x+-3
Step-by-step explanation:
-6x+21-3
-6x=18