Answer:
The correct answer is:
Part A: 6 Seconds
Part B: 3 Seconds
Step-by-step explanation:
The given equation is:
⇒ [tex]h(t) =-16t^2+96t[/tex]
Part A:
When h(t) = 0,
⇒ [tex]-16t^2+96t=0[/tex]
On taking "t" as common, we get
⇒ [tex]t(-16t+96)=0[/tex]
⇒ [tex]-16t+96=0[/tex]
On adding "16t" both sides, we get
⇒ [tex]-16t+96+16t=0+16t[/tex]
⇒ [tex]96=16t[/tex]
⇒ [tex]t=\frac{96}{16}[/tex]
⇒ [tex]t=6 \ Seconds[/tex]
Part B:
When [tex]\frac{dh(t)}{dt} =0[/tex]
⇒ [tex]\frac{d}{dt}(-16t^2+96t)=0[/tex]
⇒ [tex]-32t+96=0[/tex]
On adding "32t" both sides, we get
⇒ [tex]-32t+96+32t=0+32t[/tex]
⇒ [tex]96=32t[/tex]
⇒ [tex]t=\frac{96}{32}[/tex]
⇒ [tex]t=3 \ Seconds[/tex]
Two numbers have a sum of 527 and a difference of 195. What is the smaller of the two numbers?
Answer:
166
Step-by-step explanation:
let two numbers be x and y
according to question,
x+y=527..........equation 1
x-y=195...........equation 2
add both the equations you will get
x=361 and y= 166
So the smaller of two numbers is y=166
What are the multiplication sentences for factors of 6?
Answer:
keep doubling the answer by 6
the intersection of parallel lines b and c and transversal line d form several special angle relationships. which pairs of angles and vertical angles?
Answer:
I think angel 2 and angle 3
and angel 5 and angle 8
are the pairs of vertical angle.
hope it helps.
work out 14hrs 3min devide by 3
Answer:
4.6833333 Hours
Step-by-step explanation:
14 hrs=840 min
843/3
281minutes
281 min= 4.6833333 Hours
please mark brainliest
rite an equation in standard form of the circle with the given properties.
Center at the origin; r = square root 6
Answer:
x² + y² = 6
Circle Center at the origin; r = square root 6
(x - 0)² + (y - 0)² = (✓6)²
x² + y² = 6
which expression is equivalent to (5m) ^3
Answer:
5m•5m•5m
Step-by-step explanation:
so you multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3
5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5m)³
We have to find the equivalent expression of (5m)³
Equivalent expressions are expressions that work the same even though they look different
(5m)³ can be written as 5m.5m.5m
The value of five cube is one hundred twenty five.
125m³
Hence, 5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
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4x^2-4x=3
Plz will mark brainliest!
Answer:
=−1/2
=3/2
Step-by-step explanation:
Answer:
x = -1/2
x = 3/2
Step-by-step explanation:
4x² - 4x = 3
Subtract 3.
4x² - 4x - 3 = 0
Factor by grouping.
(2x + 1)(2x - 3) = 0
2x + 1 = 0
2x - 3 = 0
x = -1/2
x = 3/2
good luck, i hope this helps :)
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $40.00 before tax?
Answer:
She would pay $2.80 in sales tax.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?
$2.52 - $36.00
x - $40.00
Applying cross multiplication
[tex]36x = 40*2.52[/tex]
[tex]x = \frac{40*2.52}{36}[/tex]
[tex]x = 2.8[/tex]
She would pay $2.80 in sales tax.
The volume of the prism is 72 cubic feet. Find the missing height of the triangular prism, and the surface area.
Answer:
h = 12
surface area = 192
Step-by-step explanation:
Volume of this prism = 72
The base triangle has an area of B * h/2
The base = 6
The height in red = 2
Area = 1/2 * 6 * 2
Area = 6 ft^2
The volume = B * h = 72
The base = 6
6* h = 72
h = 72/6
h = 12
The surface area = 2 triangles + the rectangle face closest to us + the rectangular face whose width is 4 + rectangular face whose with is 5
The surface area = 2 * 6 + 6* 12 + 4*12 + 5 * 12
The surface area = 12 + 72 + 48 + 60
The surface area = 192 square feet.
Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
एक कार की गति 92.4 किमी प्रति घंटा है यह 20 मिनट मे कितना दुरी तय करेगी
Answer:
mate I will surely help if nut pls translate it in English as I can barely read hindi
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
More can be learned about median and quartiles at https://brainly.com/question/16169585
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A snowstorm lasted for three days. During the storm, 8 inches of snow fell on the first day, 6 inches of snow fell
on the second day, and 9 inches of snow fell on the third day. Altogether, how many feet of snow fell during the
three-day snowstorm? Use paper to show your work.
During the snow storm
feet of snow fell.
Answer:
Basically we need to add all of the inches
Step-by-step explanation:
so...
8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )
add all those inches together what do you get?
23 inches in total. So altogether 23 inches of snow fell during the 3-day storm
Answer:
1.9
Step-by-step explanation:
A foot is 12 inches, add 8+9+6 you get 23 convert. 23 inches to feet you get 1.9 feet
On a family vacation, Melissa's family drove 480 miles from Cincinnati,
Ohio to Charlotte, North Carolina. Her dad drove 35% of the way and her
mom drove 65% of the distance her dad drove. If her brother drove the
remaining miles, about how many miles did her mom, dad, and brother
each drive
Answer:Melissa's mom, dad, and brother each drove 312miles, 168miles and 0 miles respectively
Step-by-step explanation:
If Mellisa's dad drove 35% of the way
and Melissa's mum drove 65% of the way,
Then
Melissa's brother did not drive at all because
Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles
Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles
her mom, dad, and brother each drove 312miles, 168miles and 0 miles respe ctively
A tree casts a shadow 72 feet long. At the same time, a man who is 6 feet tall casts a shadow 8 feet long. What is the height of the tree? *
QUICK PLS
Answer: 54 feet.
Step-by-step explanation:
Ratio between a tree's height and its shadow's length = x : 72ft
Ratio between man's height and his shadow's length = 6ft : 8ft = 3 : 4
In order to solve this problem, we have to cross multiply the two ratios (image)
So, 4x = 216.
By solving this equation we learn that x = 54ft
So, the tree is 54 feet tall.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
A battery company produces 20,000 batteries per day. Each day they randomly select 200 to test. If they find that 4 are dead, how many dead batteries would they expect to find among the entire 20,000?
Answer: 400 because when they test 200 they get that 4 are dead wich is 1/50 of 200 so 1/50 times 20,000 is 400
Step-by-step explanation:
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
q=6 and r=7 look at pic for work
Answer:
It's q = 6 and r = 7
Step-by-step explanation:
Hope this helps and have a great day (^w^)
Also Hi B
find the inequality represented by the graph
Answer:
y is greater than or equal to -2x-5
Step-by-step explanation:
First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!
Hope this helped!
A city has a 5% sales tax.
Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes or No
Answer:
Yes,
There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship between the cost of items
before tax and the cost of items after tax?
Proof -
Yes, cost of items before tax is directly proportional to cost of items after tax.
Reason -
With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.
For which points is the y-coordinate greater than -3
Answer:
d,c,a
Step-by-step explanation:
guess it helps
6x-3y=15 y=2x-5 help meeeeeeeeeeew
Hey there!!
Let me know if you need an explanation on how I reached my final answer:
As we solve for the first variable in one of the equations, we then substitute the result into the other equation.
Your answer:
Y=2x-5
Let me know if you have any questions or concerns!! Hope this helps!!
Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5
Answer:
C. 2x + 1
Step-by-step explanation:
Factorize 6x² - 7x - 5
6x² + 3x - 10x - 5
3x(2x + 1) - 5(2x + 1)
(3x - 5)(2x + 1)
Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.
Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?
Answer:
I do not agree with Sylvia
Step-by-step explanation:
Given
1 small box
64 triangle pattern blocks
Required
Is she right?
From the question, we understand that she fills the box with 64 blocks.
For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)
The reason for this is that, the volume of each box may not be 1 cubic unit.
So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.
Since, it is not stated, we will not make any assumptions.
Hence, I do not agree with Sylvia.
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would
it take 3 gardeners?
Enter your answer
Question 7 is an example of...
Direct proportion
Inverse proportion
Answer:
it will take 12 hours
Step-by-step expl
1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.
The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
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2 One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.229
0.167
0.031
0.063
Answer:
C
Hope that helps!
Step-by-step explanation:
Solve for x*
55°
x + 74
I
54°
The Answer Is 180. :)
Can someone help me with two geometry questions? They are in a PDF document that I attached.
Answer:
use
x+y=z
and see magic answer is there