Answer:
42.5 miles
Step-by-step explanation:
68 : 8 = 8.5 km
8.5 x 5 = 42.5 miles
A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
Solve for p. i = prt
Answer:
p=i/rt
Step-by-step explanation:
its p= i over rt
The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.
Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5
Answer:
C is the answer
they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.
Step-by-step explanation:
I hope this helps :))
How much is 92 quadrillion cents
I need help with a geometry problem
#1
[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]
[tex]\\ \tt\hookrightarrow 2x=32[/tex]
[tex]\\ \tt\hookrightarrow x=16[/tex]
#2
[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]
[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 32x=192[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?
Answer:
$303.24
Step-by-step explanation:
399.00x24%=95.76
399.00÷95.76=303.24
two boys decided to share their profits from a car wash job at a ratio of 2:3 how much will each boy receieve if their total profit is 35
Answer: Profit for first boy = $14
Profit for second boy = $21
Step-by-step explanation:
Given : Ratio of profits = 2:3
Let profit for one boy = 2x and for another boy = 3x
Since combined profit = $35
Then, 2x+3x= 35
⇒ 5x= 35
⇒ x= 7 [divide both sides by 5]
Profit for first boy = 2 (7)= $14
Profit for second boy = 3 (7)= $21
marys age is 2 upon 3 that of peters age. two years ago marys age was 1 upon 2 of whats peters age will be in 5years time. how old is peter now plzz
Answer:
the Peter age be 27
Step-by-step explanation:
Let assume peter be
And, then mary is 2p ÷ 3
So
The equation would be
2p ÷ 3 - 2 = 1 ÷ 2 (p + 5)
4p - 12 = 3p + 15
p = 27
So Peter age be 27
And, the mary age is
= 2 (27) ÷ 3
= 18
Hence, the Peter age be 27
What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units
Answer:
Step-by-step explanation:
3x3x3 is 46 than 46 _ 4 is 57
The answer is 27 units
What is the Volume of Rectangular Prism?The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on.
Given here: The dimensions as 3,3,3
Thus the volume is = 3³
=27
Hence, The answer is 27 units
Learn more about prisms here:
https://brainly.com/question/29722724
#SPJ2
Number 8 I need help plz
What is the opposite of negative seven?
Answer: 7 is the opposite of negative 7
Step-by-step explanation:
Hope this helps :)
HELP PLS FASTT IM ON A TEST AND I DONT EVEN GET THIS Gabriel has a card collection with 32 baseball cards 16 football cards and 24 by basketball cards he wants to arrange the cards in equal piles with only one type of car in each pile how many cards can you put in each pile
Answer:
16 cards.
Step-by-step explanation:
Answer:
Someone do the Question!!!
Step-by-step explanation:
I don't really get how to do this
Answer:
you got to put them in order like you got to figure out witch one is smaller then u keep going until u figure out the bigest.....
Step-by-step explanation:
Answer:
15.5, 16 and 1/4, 16.60, 16.7, 16 and 3/4, and 16.83.
Step-by-step explanation:
Hope it helps!
teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8
A.20%
B.12%
C.60%
D.72%
At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?
Answer:
$72
Step-by-step explanation:
$768/265 = $3
$3 x 24 = $72
Answer:
$72
Step-by-step explanation:
768/256 = how much each hot dog was sold for
768/256 = 3
Each hot dog was sold for $3.
24*3 = $72
Therefore, the cost of 24 hot dogs is $72.
Select the correct answer.
Which graph has a domain of x
> -3
Answer:
the answer is actually c.
Step-by-step explanation:
I took the test and you would want the line to be going to the greater value of -3 because x is greater than -3.
Hope this helps :)
Answer:
the answer is c
Step-by-step explanation:
i took the test and got it right.
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answer:
its C
Step-by-step explanation:
At the craft store, Kenji bought a bag of brown and blue marbles. The bag contained 60 marbles, and 40% of them were brown. How many brown marbles did Kenji receive?
Find the area of the rhombus.
Answer:
Area = 90
Equation:
See attached image for equation.
I need help with this ASAP
Answer:
it is D
since 6 percent of people infected by 10 day
URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.
On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.
Answer:
Lol its 8
Step-by-step explanation:
A fertilizer covers 6 square feet in 2 hours. What is the unit rate?
Find the rate of change
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
Please help due soon will give brainliest
Answer:
The intersect point 4,3 H
Step-by-step explanation:
Hope this helps. Have a fantastic day!
A Store charfes $0.20 per pound plus a set fee of $2 for ice.How many pounds of ice would somebody have brought if they paid $15
Answer:
65 pounds of ice
Step-by-step explanation:
15-2=13
13/0.2=65
Error Analysis A student incorrectly simplified the
expression below as shown in the image
Answer:
Put the a with the b
Step-by-step explanation: