Answer:
14 + 2 + 15
Step-by-step explanation:
The function h(0) = -16t2 + vt + 10 gives the height of a platform diver above the water, in feet, t seconds after
Complete Question:
The height of a diver jumping from a diving platform is about [tex]h(t)= 16t^2 +11t+10[/tex], where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec.. After how many seconds is the diver's height above the water 15 feet?
Answer:
0.3125 seconds
Step-by-step explanation:
Given
[tex]h(t)= 16t^2 +11t+10[/tex]
Required
Time when the diver is above 15ft
This implies that h(t) = 15
So, we have:
[tex]15= 16t^2 +11t+10[/tex]
Collect Like Terms
[tex]0= 16t^2 +11t+10 - 15[/tex]
[tex]0= 16t^2 +11t-5[/tex]
[tex]16t^2 +11t-5=0[/tex]
Expand:
[tex]16t^2 + 16t - 5t - 5 = 0[/tex]
Factorize:
[tex]16t(t + 1) - 5(t + 1) = 0[/tex]
[tex](16t - 5)(t + 1)=0[/tex]
Split
[tex]16t - 5 = 0[/tex] or [tex]t + 1 = 0[/tex]
[tex]16t = 5[/tex] or [tex]t + 1 = 0[/tex]
Solve for t
[tex]t = 5/16[/tex] or [tex]t = -1[/tex]
[tex]t = 0.3125[/tex] or [tex]t = -1[/tex]
But time can't be negative. So:
[tex]t = 0.3125[/tex]
Hence, it will take the diver 0.3125 seconds to be at a height above 15 feet
It will take t = 0.3125 seconds is the diver's height above the water 15 feet.
Given ,
The height of a diver jumping from a diving platform is h
h(t) = [tex]-16t^{2} + vt + 10[/tex]
The diver's height above the water 15 feet
Velocity = v = 11 ft per second
We have to find, t seconds is the diver's height above the water 15 feet.
According to the question,
[tex]h(t) = -16t^{2} +vt+10[/tex]
Where v = 11, h(t) = 15
15 = -16[tex]t^{2}[/tex] + 11t + 10
15 - 10 = [tex]-16t^{2} + 11t[/tex]
5 = [tex]-16t^{2} +11t[/tex]
[tex]16t^{2} -11t +5= 0[/tex]
[tex]16t^{2} -16t - 5t + 5 = 0[/tex]
16t ( t - 1 ) - 5 ( t + 1 ) = 0
(16t - 5 ) ( t + 1 ) = 0
16t - 5 = 0
16t = 5
t = [tex]\frac{5}{16}[/tex]
t = 0.3125
And t + 1 = 0
t = -1
Time can not be negative so we can't take t = -1 .
So, The required value of time is t = 0.3125
Hence, it will take t= 0.3125 seconds is the diver's height above the water 15 feet.
For the more information about Equation of motion click the link given below.
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ASAP 25 POINTS WILL MARK BRAINLIEST MULTIPLE CHOICE
Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x,y)→(x−2, y)
Question 1 options:
No, the preimage will be smaller
Yes, this is a translation which doesn't change the pre-image size
No, this is a translation which will change the pre-image size
Yes, this is a reflection which doesn't change the pre-image size
Answer:
Yes, this is a translation which doesn't change the pre-image size
Step-by-step explanation:
What is y?
And please show work!
Answer: 97 degrees
Step-by-step explanation:
I drew some letters on your attachment to make it easier for you to understand.
To find angle y you need to find angle x first, you do that by doing (180=A+B+C) and you solve for A which is x degrees (A=180-B-C)
When you use angle C you must combine the 26 degrees and 55 degrees because if you use only 55 let's say, that would be the angle for triangle CDB, and we need C for triangle ABC.
So: A=180-42-81 -> A=57 degrees
Now you know Angle A (57 degrees) and Angle ACD (26 degrees)
All you have to do to find Y is to do: y=180-x-26
So y would be: 97 degrees
Keep in mind this is one of two solution methods I can see, if you want me to show you the other one as well just tell me in the comments, you are welcome.
Two groups of students order hamburgers and hot dogs at a local restaurant. The first group orders 3 hamburgers and 4 hot dogs for a total cost of $30.33. The second group orders 3 times as many hamburgers as the first group and 5 hot dogs. The second group’s total is $63.06. What is the cost of a hamburger at this restaurant?
Answer:
3.63666666667 or about $3.64
Step-by-step explanation:
63.06 - 30.33 = 32.73(this is the price for 9 hamburgers)
32.73/9 = 3.63666666667(The price for hamburgers.)
45 divided by 6x45(9-7)=?
Answer:
337.5
Step-by-step explanation:
how to i find the missing 2 angles
Answer:
therefore, x is 71 degrees
Step-by-step explanation:
we know that the exterior angle is 142 degrees.
we also know that we have to find x, which is labeled two times as an interior triangle (in the same triangle), so they must be the same degree.
there are different ways to solve this but the easiest way is this:
exterior angle = opposite interior angle 1 + opposite interior angle 2
142 degrees = x + x
142 degrees = 2x
142/2 = x
x = 71
therefore, x is 71 degrees
what is the slope of (7,-8) and (9,9).....
Answer:
(7,8) = 0,0) (−6,6)
(5,4) (−9,7)
(0,1) (1,0)
(9,9) = (0,9) (8,6)
(−5,9) (3,0)
(1,−2) (3,6)
Solve. State the Inverse operation you used. 1. k X 4 = 96 | 2. b = 12 = 12 | 3. 9X n = 5.4 | 4. y X 16 = 48 | 6. 3.9 x m= 19.5 | 5. 25 = t4 8. 2+5 = 1 |7. 40 = x= 2 |10. 330 =rX 3 |9. 7.1 x t= 21.3 |11. 1-0.5 = 2 |12. 11 xg= 55
(Theres a total of 12 equations when there's a | its onto the text question)
Answer:
hmu on sn*p and I got u kevinscoolrevi7
Which equation is equivalent to 9x=5x-10
•5x = -x +3
•x - 16=18
•3x + 9 = -6
•4x = -10
What is X? 3x - 24 = 81
Answer:
35 would be your answer
Step-by-step explanation:
3x-24=81
So first off, add 24 to 24 and 81
You would get 3=105
Now divide 3/3 and 105/3 which will get you 35!
Hopefully this helps!
Answer: 35
Step-by-step explanation:
you add 24 to the other side of the equal sign and you get 105. then you’re left with 3x=105 and you divide 105 by 3 and get 35=x
Use algebraic strategies to solve sqrt(2x + 3) = x . How many solutions did you find? Which strategies did you use?
Answer:
itsx= -3
Step-by-step explanation:
What’s the slope,y-intercept, transformations of (-) and (2)
HELP ME FAST PLZZ!!!! I REALLY NEED HELP!!! 20 POINTS PLZ HELP
Answer:
you didnt add the options of what the drop downs were for
Step-by-step explanation:
Jose is trying to decide how many friends he can invite to his roller skating party. Skate rentals cost $2.50 per person, including Jose, and he knows that 3 adult chaperones plan to skate.
How many friends can Jose invite if he wants to spend only $50.00 total on skate rentals?Jose can invite _______ friends.
Answer:
Step-by-step explanation:
himself and three chaperones=4
4*2.50= 10.00
50.-10.= 40 left
40/2.50 rental= 16
So he has enough for 16 friends, 3 chaperones and himself.
check:
20 people *2.50= 50.00
The area in square feet of a rectangular field is x^2-100x+2400. The width, in feet is x-40. What is the length, in feet?
Answer:
x-60
Step-by-step explanation:
You have to factor out the quadratic.
You know that one of the factors is x-40.
To factor:
Find a number that when added to -40, gives you -100, and also when multiplied, gives you 2400.
That such number is -60.
Add an x before it, and you get (x-60)
What are the max/min values of the following equation?
y = 2x3 – 2x² – 18x + 18
Someone please help me out
What is the square root of 75 using imaginary numbers
Answer:
8.660254038
Step-by-step explanation:
or 5✓3
hope this helps
is the relation a function? explain
Answer:
Yes the input x is only used once all the first numbers are different
Step-by-step explanation:
11,7
22,7
15,8
The question I have is 17x5x8+15
Answer:
695
Step-by-step explanation:
[tex]17*5*8+15\\=17*40+15\\=680+15\\=695[/tex]
List the set or sets to which each number belongs
Gordon types 2,184 words in 28 minutes. Find the unit rate. Gordon types ________ words per minute.
Answer:
78
Step-by-step explanation:
[tex]\frac{2184 words}{28 minutes} = \frac{78 words}{1 minute}[/tex]Answer:
It’s 78 words per minute
Step-by-step explanation:
To solve this problem do 2,184 divided by 28 this will equal 78
Pls help .............
Answer:
Top one
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
d= 99 e= 81 f= 99
Step-by-step explanation:
Answer:
d = 90
e = 81
f = 99
Step-by-step explanation:
First, find e because you can figure it out by vertical angles. 81 and e are vertical so e is 81. To find f, you subtract 180 by 81 because it's a straight line which is 99. So f is 99. To find d, you can use the right angle next to it. 180-90 is 90. So d is 90.
32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
What are the dimensions of the rectangle?
Answer: 12.5
You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."
subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"
Square PINT has vertices N(4, 2) and T(3, 8). What is the area of square PINT?
Answer: the answer is 37
Step-by-step explanation: someone said it was incorrect but it’s correct trust me my teacher gave us the answer
The area of the square PINT will be 37 square units.
What is an area of a square?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle, and a parallelogram.
Given that Square PINT has vertices N(4, 2) and T(3, 8). The area of the square will be calculated by finding the distance between two points N(4, 2) and T(3, 8), and squaring it.
The length of the line segment bridging two points on a plane is known as the distance between the points.
Area = Distance² = ( x₂ - x₁ )² + ( y₂ - y₁ )²
Area = Distance² = ( 4 - 3 )² + ( 8 - 2 )²
Area = Distance² = (1 )² + ( 6 )²
Area = Distance² = (1 )² + ( 6 )² = 37 square units
Therefore, the area of the square PINT will be 37 square units.
To know more about an area follow
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Need help for this problem
Answer:
161 degrees
Step-by-step explanation:
corresponding angles theorem
Answer:
161
Step-by-step explanation:
if g and h are parallel, angle 4 and 161 are the same
Evaluate x/y if f x = 14 and y=-2
Answer:
-7
Step-by-step explanation:
First, we need to substitute x in as 14 since that is what x is equal to.
1. x / y => 14 / y
Next, we need to substitute y in as -2 since that is what y is equal to.
2. 14 / y => 14 / -2
Now to solve it;
3. 14 / -2 => -7
So now we now that x / y equals -7 when x = 14 and y = -2.
Feel free to give brainliest.
Have an awesome day! Happy Thanksgiving!
she uses 2/3 cup of sugar to make 1/4 sheet cake.how much sugar would she need to make a full sheet cake?
Answer:
Answer: B 2 2/3 mark em brainliest plz
Step-by-step explanation:
2/3 + 2/3+2/3+2/3= 2.66 also 2 2/3 2/3 times 4= 2 2/3
A jar is filled with pennies, nickels, and dimes. The probability of picking a
penny is 1/4, and the probability of picking a dime is 1/3. What is the
probability of picking a nickel?
1/5
1/3
5/12
7/12
Answer:
5/12
Step-by-step explanation:
Make 1/4 and 1/3, 3/12 and 4/12, add them up to equal 7/12 then subract 7 from twelve and you have 5. 5/12
What is the factor expression for 45c + 10d
Answer:
9c + 2d
Step-by-step explanation:
45c + 10d (divide by 5)
9c + 2d
Not 100% if this is how you do factor expression, but if it is then it is right
Hope this helps ya! Keep smiling!
Answer:
9c + 2d
Step-by-step explanation:
