Answer:
t=7seconds or 5seconds
Step-by-step explanation:
s=-16t^2 +192t
let s=560ft
560=-16t^2 +192t
16t^2 -192t+560=0
16(t^2-12t+35)=0
(t^2 -12t +35)=0
factoring it ,it will give
(t-7)(t-5)=0
solving for t
t-7=0 or t-5=0
t=7s or t=5s
Part A. Describe a relationship modeled by the function f(x) = 4x³ - 72x² + 320x, and explain how the function models the relationship.
Part B. Identify and interpret the key features of the function in the context of the situation described in part A.
Answer:A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is: f(x)=4x3- 72 x2+320x
The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)
The second step is to factor the quadratic trinomial.
That is made by writing it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is: f(x)=(4x)(x-10)(x-8)
Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
x is the desired (unknown) length
4x is 4 times the desired length
x - 10 is 10 less than the desired length
x - 8 is 8 less than the desired length
Thus, the volume of the prism is the product of the three factors:
Volume = (4x)(x-10)(x-8)
Fill in the boxes with values that make the statement true.
X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3
Answer: 67.725feet²
Step-by-step explanation:
A heptagon consist of 7 sides and Its area is calculated using the formula
= 1/2 × nsr
n = number of sides = 7
s = side length = 4.3
r = apothem = 4.5
Area = 1/2 × nsr
= 1/2 × 7 × 4.3 × 4.5
= 0.5 × 7 × 4.3 × 4.5
= 67.725feet²
HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT
3 customers entered a store over the course of 6 mintues. At what rate were the customers entering the store in customers per minute
3 customer = 6 minutes
/6
1/2 customer = 1 minute
The rate were the customers entering the store in customers per minute is 1/2 customer per minute.
What is the area of a triangle with a base of 10 cm and a height of 4 cm?
Answer:
20 cm
Step-by-step explanation:
have a nice day!! :)
Answer:
Su area es 20
Step-by-step explanation:
bxa/2=10x4/2=20
De nada
Which expressions are equivalent to 3 1/4 - (- 5/8)?
Answer:
3.875
Step-by-step explanation:
Jack bought a case of 12 calculators for $60.00. He sold six for $52.00 each and six for $56.00 each. How much was Jack's profit on
the case of calculators?
A)
524.00
B)
$48.00
560.00
D)
$108.00
Answer: $48.00
Step-by-step explanation:
Jack bought 12 calculators for $60
he sold six for 52 and the other six for 56
52+56=108
108-60=48
Which of the following is a valid use of the associative property of addition?
A. (5+8.5) - 3.5 = 5+ (8.5-3.5)
B. (8.5+5) -3.5=(8.5-3.5)+5
Given the coordinates for the function below, who of the following are coordinates for its inverse?
Answer:
If we have a function f(x) that has an inverse g(x), we have the relations:
f( g(x)) = x
g( f(x)) = x
Then if the coordinates for the function f(x) are points like (x₁, y₁)
The coordinates for the inverse, g(x), will be (y₁, x₁)
Now let's look at the table, here we can see that the coordinates for f(x) are:
(0, 650)
(100, 550)
(200, 450)
(340, 310)
(650, 0)
Then the coordinates of the inverse function will be:
(650, 0)
(550, 100)
(450, 200)
(340, 310)
(0, 650)
Using the Box plot you drew for the following data set, describe how the data is dispersed: 22, 35, 18, 30, 37, 20, 40, 18, 38, 38, 19, 27, 31, 34 no
it takes 7/12 foot of ribbon to make a bookmark how many feet of ribbon will it take to make 15 bookmarks
plz answer this question without any links
answer: 8.75ft
Step:
7/12*15
=8.75
The max Fuel capacity a spaceship should have is 500. The minimum is 200. The ship you are designing is rated at 75% of range. How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship?
Answer:
Part 1: 375 Fuel Capacity
Part 2: 450 Fuel Capacity
Step-by-step explanation:
Find the percentage of each number with a calculator
375 fuel capacity does it have.
When decide to change the max to 600 new fuel capacity of the ship is 450.
Given that,
The max Fuel capacity a spaceship should have is 500.
The required 375 fuel capacity does it have.
When decide to change the max to 600 new fuel capacity of the ship is 450 determine,
How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship.
According to the question,
The max Fuel capacity a spaceship should have is 500.
The ship you are designing is rated at 75% of range.
Full capacity is equals to max fuel capacity multiply by ship designing rate of range.
Therefore,
Fuel capacity = 500 × 0.75 = 375
And If the change in max fuel capacity to 600,
New fuel capacity is equals to new max fuel capacity multiply by ship designing rate of range.
Then.
New fuel capacity = 600 × 0.75 = 450
Hence, The required 375 fuel capacity does it have.
When decide to change the max to 600 new fuel capacity of the ship is 450.
To know more about Probability click the link given below.
https://brainly.com/question/12431044
HELP HOW DO I GET MORE THAN ONE PICTURE WHEN I ASK A QUESTION ♀️♀️
Answer:
Press browse files after the 1st one
Step-by-step explanation:
That just look at circle
The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
• The measure of angle Q is 7x - 2
What is the value of x?
A. 7 B. 8
C. 9
D. 6
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
What is the perimeter of the figure on the coordinate plane below.
Answer:
C) 22 units
Step-by-step explanation:
2x(9-1)=16
2x(5-2)=6
16+6=22
Answer: maybe 0 if i sound unreasonable then I'm really sorry I'm only in 4th grade.
Step-by-step explanation: -10 + 10 + -10 + 10
What is the perimeter of this red polygon. Geometry!!
Answer:
13 cm.
Step-by-step explanation:
Add all the sides to get the perimeter
name this angle
X Х
4
Y
N
Answer:
no I have no answer
Step-by-step explanation:
noooooooooooooo
Help me gurlz!!!!!!!!!!!!!!!
Step-by-step explanation:
A and 3
B and 1
C and 4
D and 2
I hope this helps :)
help 5 points
pls no wrong answer
Answer:
A (3, 4) B (4, 2) C (0.5, 0.25) D (1, 2.5) E (1.75, 4.25)
Step-by-step explanation:
The coordinate points of a point are (x, y) where x is the number on the x-axis and y is the number on the y-axis.
By looking at points A and B they're easy to tell.
For points C, D, and E they're in between whole numbers so by converting the number given which is a fraction you can get 0.25 from 1/4 which is half of 1/2, 0.5 from 1/2, 0.75 from 3/4 which is half of 1/2 plus 1/2, 1.25 from 1 1/4, etc....
Hey can you guys please help me understand. I need to find the answer to this question and my teacher explained how to do the assignment HORRIBLY. Please explain to me how you got the answer :)
mmm answer is 139.5 (C)
7x4.5=31.5
12x9=108
108+31.5=139.5
Answer:
A=139.5cm^2
Step-by-step explanation:
12x9=108---->Area of the rectangle A=l x w
9x7=63 divided by 2=31.5--->Area of the triangle A=1/2 (b x h)
108+31.5=139.5cm^2
Hope this helps and can you give me brainliest pls?
What is the measure of angle A? How do you know this?
HELPPP QUICK ANSWER BOTH PARTS
Answer:
x = 20 degrees
Step-by-step explanation:
We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.
Please help me i am not downloading anything
Answer:
on what
Step-by-step explanation:
1.
A rock is thrown upward with a velocity of 12 meters per second from the top of a 28
meter high cliff, and it misses the cliff on the way back down. When will the rock be 5
meters from ground level? Round your answer to two decimal places.
Gravity Formula
PLS HELP
Answer:
The rock will be be 5 meters from ground level at time = 3.713 seconds
Step-by-step explanation:
As we know-
[tex]s(t) = -4.9 * t^2 + v_0t + s_0[/tex]
V0 = velocity
S0 = height above ground when thrown
Substituting the given values, we get -
[tex]9 = -4.9* t^2 + 12 * t +32\\-4.9*t^2 +12*t + 23 = 0[/tex]
As per the formula
[tex]t = \frac{-12+ \sqrt{12^2 -4*(-4.9)*23} }{(2*(-4.9)} \\t = 3.713[/tex]
The rock will be be 5 meters from ground level at time = 3.713 seconds
Jamie ran 9.3 miles in 1.5 hours. How far did she run in miles per hour?
The volumes of two cubes are 32ft^3 and 1372ft^3
1. What is the ratio of their volumes?
2. What is the scale factor?
3. What is the ratio of their surface areas?
4. Find the surface are of the smaller cube if the larger cube has a surface area of 196ft^2
Answer:
1) 8 : 343
2) 42.875 or 42 ⅞
3) 4 : 49
4) 16ft²
Step-by-step explanation:
Volume of cube: s³
Surface area of cube: 6s²
_____________________
32ft^3 and 1372ft^3 →
32 : 1372 = 8 : 343
343 / 8 = 42 ⅞ = 42.875
s³ → 6s²
s³ = 8, s = 2, s² = 4.
s³ = 343, s = 7, s² = 49.
These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.
s³ → 8 : 343
6s² → 4 : 49
(4 / 49) × 196ft² = 16ft²
How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?
- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.
"Branliest will be appreciated"
I would just like to say...
PEOPLE, STOP ATTACHING LINKS!!!!!!!!!
Thank YOU!!! I was wondering what those links are for but I'm not taking a chance with that
Answer:
Yeah i was really stuck on a problem then 2 users answered and gave links.
Like bro i said no links!!!! :/
If a • b = b, what must the value of a be?
Answer:
the value of a would be one, i think
Find the product ........