Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.
Answer:
Number of tickets sold in advance = 310
Number of tickets sold at the door = 340
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?
The explation of the answer is now given as follows:
Let a represents number of tickets sold in advance. Therefore, we have:
a = number of tickets sold in advance at $3 each
a + 30 = number of tickets sold at the door at $5 each
The total amount collected can be represented by this equation:
3a + 5(a + 30) = 2630
Solving for a, wee have:
3a + 5a + 150 = 2630
8a = 2630 - 150
8a = 2,480
a = 2,480 / 8
a = 310
Therefore, this implies:
Number of tickets sold in advance = 310
Number of tickets sold at the door = a + 30 = 310 + 30 = 340
Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive
Answer:
23 orange pins did Shelby receive.
Step-by-step explanation:
25% = 0.25
92 × 0.25 = 23
Brainliest...I have to post a few of these cause I forgot to study for this assignment....
Answer:
-1
Step-by-step explanation:
you do 1/1 which is 1. because the line is negative, the answer is -1
7(n+4)= 21 what’s does n equal
Answer:
Step-by-step explanation:
here you go mate
step 1
7(n+4)= 21 equation/Question
step 2
7(n+4)= 21 simplify
7n+28=21
step 3
7n+28=21 subtract
7n=-7
step 4
[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide
answer
n=-1
7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
I need help with this
Answer:
The order is from top to bottom just an FYI :)
First blank: 1
Second blank: 7
Third blank: 4
Step-by-step explanation:
I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.
Mr. Morgan purchases gas for $3.24 per gallon. After leaving the gas station
he travels 208 miles on 8 gallons of gas. If the car uses gas at a constant rate,
which best describes the number of miles traveled per gallon of gas?
Free coinssss!!!!!!
Answer:
I think the answer is...
26
Step-by-step explanation:
thank you for my free coins
What is the value of x?
45°
m
1(2x - 5)°
n
Answer:
x = 70
Step-by-step explanation:
The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then
45 + 2x - 5 = 180, that is
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
What is the multiplayer for a 3% increase?
Answer:
3% = 0.03
verified with calculator
Please help it It is in photo
Answer:
its the second i hope that helped
If LN = 12x + 16, what is the length of Line segment L N in units?
Answer:
Step-by-step explanation:
16 units 40 units 48 units 64 units.
Answer:
64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
Pls can someone help me
Answer:
x = (h-12y-2)/4
Step-by-step explanation:
Here, we want to make x the subject of the formula
We have this as:
h = 4x + 12y + 2
4x = h-12y-2
x = (h-12y-2)/4
to the nearest 50 square feet what is the area of the actual store?
What is the volume of the cuboid?
Answer:
180cm
Step-by-step explanation:
4cm*5cm*9cm=
Answer:
180
Step-by-step explanation:
Length=9cm
Height=5cm
Width=4cm
So,
9cm×5cm×4cm
=9cm×20cm
=180cm³
For the following ordered pairs is the X value positive or negative?
(-2, 1)
(3, -4)
(-4, 6)
(1, -3)
someone help ASAP!!!! Please it would mean so much if you helped me!
please help its algebra 1
Answer: She can take 25 students.
Step-by-step explanation:
If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25
Answer:
I think 25 students
Step-by-step explanation:
Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)
Solve for x, rounding to the nearest hundredth.
10^3x = 98
Answer:
see explanation
Step-by-step explanation:
10^3x=98
1000x=98
x=98/1000
x=49/500
x=0.98
if it is rounded to the nearest hundredth then x=0
Hey guys please help me! Very appreciate it
Answer:
30.9
Step-by-step explanation:
.
On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Answer:
1/2 of 6 = (1/2)*6 = 0.5*6 = 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2/3 hr
3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hrs
9/2 oz = 2/2 hrs .... divide both sides by 2
4.5 oz = 1 hr
She drinks 4.5 ounces of water in 1 hour.
Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg
Answer:
A) 29.0 mpg
you divide 471 by 16.25
The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb
Answer:
The difference of weight is [tex]2[/tex] pounds.
Step-by-step explanation:
Given: The line plots shows the weights of [tex]9[/tex] grapefruits
To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex] grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.
Firstly, we need to convert the given mixed fractions as following:
[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]
[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]
Now, we know that,
Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.
In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh others weigh.
We need to observe the dot diagram to know how many grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of [tex]\frac{3}{2} lb[/tex] and how many points there are about class of [tex]\frac{5}{4} lb[/tex].
Then, the total difference between all grapefruit of pounds and all grapefruit of pounds is calculated as follows:
[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]
Where
[tex]Z[/tex]: Weight difference
[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex] grapefruit
[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit
Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex] and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex] pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]
Now,
[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]
[tex]=\frac{9}{2} -\frac{5}{2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Hence, for this case, the difference of weight is [tex]2[/tex] pounds.
Help with number 2 please
Answer:
3 in a half miles
Step-by-step explanation:
Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3
Answer:
Glenda is faster
Step-by-step explanation:
Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)
Find the distance between 3,4 and 3,9
Answer:
The answer is 5.
Step-by-step explanation:
The distance formula is ↷
[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]
All we got to to do right now is plug in!
[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]
Therefore, the distance between 3,4 and 3,9 is 5.
What value is a discontinuity of x^2+2x+3/x^2-x-12
Answer:x=0
Step-by-step explanation: maybe.....
Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3
Answer:
-3
Step-by-step explanation:
[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]
Answer:
-3
Step-by-step explanation:
i forgot how to do the log thingy but the guy on top is also correct
Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?
Answer:
B . 980 just trust me
Step-by-step explanation:
You set up proportions
Tammy's home cost her S184,000. She lives in an area with a lively real estate market, and her hormincreases in value by 3.5%
every year. If Tammy sels her home after thirteen years, how much profit wil she have made, to the nearest hundred dollars?
a s8,500
b.
C.
d
7,800
S83,700
S103,800
Please select the best answer from the choices provided
O
A
B
C
D
O
Save and Exit
Next
Submit
Answer D 103,800
Answer:
D. $103800Step-by-step explanation:
Initial value of house:
$184000Yearly increase rate of value:
3.5%Time
13 yearsSince the increase is concerning the current price it would be exponential growth.
The function would be:
V(t) = 184000*(1 + 3.5/100)^t, where V is the value after t yearsFor t= 13 we get:
V(13) = 184000*(1.035)^13 = 287800Profit made would be:
287800 - 184000 = 103800Correct option is D.
Answer:
Cost of Tammy's house =$184000
Rate of interest = 3.5% per annum
After 13years price will be
[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]
Total profit= $(287767-184000)= $103768
D. $103800 is the right answer.Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm
Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
Answer:
24
Step-by-step explanation:
I took the test