Answer:
[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]
Answer:
a) t = 2 seconds
b) 70 feet
Step-by-step explanation:
First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.
[tex]h(t) = -16t^{2} +64t+6[/tex]
To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.
[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]
Now we can substitute in v=0
This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.
[tex]0=-32t+64[/tex]
Rearrange and we get:
[tex]32t = 64\\t=2[/tex]
Ball attains maximum height at 2 seconds.
To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.
[tex]h(t) = -16t^{2} +64t+6[/tex]
[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]
The maximum height attained is 70 feet.
Hope this helped!
Write LCM of 35 and 144 (If you are not able to send a picture, then you can write step wise, please do not write a direct answer.)
Answer:
5040Step-by-step explanation:
multiply 35 by 144 which will give you your answer (lcm)What is the factored form of the polynomial 3x-3y
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
The FAFSA4caster cannot help students:
O A. decide which colleges to apply to.
O B. plan for upcoming expenses.
O C. learn about how to pay for college.
O D. perform better on standardized tests.
Answer:
is D perform better on standardized test
Step-by-step explanation:
IT IS CORRECT TRUST! you welcome
Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?
Answer:
5 pencils per box
Step-by-step explanation:
Evaluate the following if a = 3,b= -2 and c = 1
a3 - 2bc +5ac
Answer:
28
Step-by-step explanation:
(3)×3 - 2×(-2)×(1) + 5×(3)×(1)
9 - -4 + 15 = 28
Answer:
46
Step-by-step explanation:
Given
a³ - 2bc + 5ac ← substitute values for a, b, c into the expression
= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)
= 27 - (- 4) + 15
= 27 + 4 + 15
= 46
PLZ HELP WILL GIVE BRAINLIEST.
Answer:
1/24 or 4.17%Step-by-step explanation:
Probability of chocolate ice cream = 1/4Probability of chocolate chips = 1/3Probability of waffle cone = 1/2Probability of chocolate ice cream in a waffle cone with chocolate chips:
1/4*1/3*1/2 = 1/24 or 4.17%The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?
a.2,500
b.12,500
c.1,024
d.500
Answer:
A) 2,500
Step-by-step explanation:
Soo.....
A1 = 4
A2 = 4*5 = 20
A3 = 20*5 = 100
A4 = 100*5 = 500
A5 = 500*5 = 2,500
Please help!! Find the missing length indicated.
One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
about 7.6
Step-by-step explanation:
I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.
a^2+b^2=c^2
The value of a is the first leg (7cm), and the value of b is the second leg (3cm).
So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.
In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.
Can someone pls help me with this escape room. This is my last question, I just cant figure out the code. Pls help.
Answer:The code is simple the answer is googl
Step-by-step explanation:
HELP I don’t understand
Answer:
144, 36
Step-by-step explanation:
you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.
(4x+8) + (x+2)=180
5x+10=180
5x=180-10
5x=170
x=34
now replace x in each equation:
4(34)+8=144
34+2=36
a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
Answer:
4 miles
Step-by-step explanation:
Answer:
4.5 miles
Step-by-step explanation:
18 miles 3 hours = 6 miles/hour
6 x (3/4) = 4.5 miles
Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =Rºh (use 3.14.as an approximation for 7). What is the radius of these cylinders?
Answer:
Radius is 1 unitStep-by-step explanation:
The relationship is:
V = πr²hWe have points on the graph:
(9, 28.26) and (18, 56.52)Use one of the points, substitute into equation and solve for r:
28.26 = 3.14*9*r²r² = 28.26/28.26r² = 1r = 1Refer to the diagram below. What is the scale factor used to create the new shape.
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.
Answer:
259.2
Step-by-step explanation:
multiply 18 x 8 x 1.8 to get 259.2cm
If there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
Answer:
Part a) 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week
60x60=3600 x 24= 86400 x 7= 604800
So 604,800 seconds in a week
Part b) James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
So 3 x 1= $3
+ $2
2 x 2= $4
3+2+4= $9
10-9= $1
So they'll get back $1
Which value from the set { 1/2 , 2/3 , 4/3 , 5/2 } is a value of x that will make the equation 3/4 ÷ x = 9/8 true?
Answer:
2/3
Step-by-step explanation:
To find out what x is in this case, divide 3/4 by 9/8.
3/4 / 9/8
Dividing by a fraction is the same as multiplying it's inverse.
3/4 * 8/9
Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)
1/1 * 2/3
We can remove the 1/1.
2/3
2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.
Write an equation in slope-intercept form of the line shown. (8, 4) (4, 1)
Step-by-step explanation:
m= 1-4/4-8 = -3/-4 = 3/4
y-1 = 3/4(x - 4)
y-1 = 3/4x -3
y = 3/4x -2
PLZ HELP 100 POINTS PLU BRAINLIEST FOR CORRECT ANSWERS
Answer:
d. x
Step-by-step explanation:
x(2x-1)/2x-1
x/1 since 2x-1/2x-1 cancels
x
hello please help i’ll give brainliest
Answer:
Energy from the sun changes liquid water to a gas.
Step-by-step explanation:
Answer:
the 2nd choice
please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!!
Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Activity 2: Identify Me
Direction: Determine whether each pair of triangles is congruent by SSS, SAS, ASAor AAS. If it is not possible to prove that they are congruent, wnte NOT POSSIBLE
Step-by-step explanation:
SSS axiomSAS axiomASA axiomASA axiomSAS axiomSSS axiom"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.
Answer:
43.27
Step-by-step explanation:
(24×24)+(36×36)= 1872
√1872=43.27
Using the Pythagorean theorem:
Hypotenuse = sqrt( 24^2 + 36^2)
Hypotenuse = sqrt(576 + 1296)
Hypotenuse = sqrt(1872)
Hypotenuse = 2sqtt(469) or 43.266
need help thanks! :D
Answer:
2nd
Step-by-step explanation:
How many seconds will it take for the penny to hit the ground?
Answer:
1 second
Step-by-step explanation:
[tex]-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1[/tex]
Find the length of the hypotenuse of the right triangle.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 34
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: C=34
Step-by-step explanation:
[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]
Find the radius of the circle. Please show work, thank you
Answer:
4.8
Step-by-step explanation:
Simplify fully 8x/12x2y
Answer:
2/3xy.
Step-by-step explanation:
8x/12x^2y
The 8 and 12 simplify to 2/3 and x and x^2 simplify to 1/x so we have:
= 2/3xy.
PLEASE I AM REALLY FONFUSED!!!!!!!!!!!!!!!!!! I AM BEGGING YOU I WILL GIVE EXTRA POINTS AND BRAINLIEST!!!!!!!!
Answer:
Hi, there your answer
Number 15: 16
Number16: 176
Number 17: 0
Number 18: 12
Number 19: -3
Number 20:-52
Number 21:{−9}
Number 22: {13}
Number 23:{1}
Number 24:{−90}
Number 25:{−2}
Number 26:{−2}
Number 27:{56}
Number 28:{9}
Number 29:{15}
Number 30: {−10}
Step-by-step explanation:
The answer are in bold I don't know if you are looking for the work or the answer???
Hope this helps :)