Step-by-step explanation:
-3x -2 less than 8.9
-3x less than 8.9+2
-3x less than 10.9
x =10.9/-3
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
Calculate the area of the figure and show your solving steps.
Answer:Area is a measure of how much space there is inside a shape. Calculating the area of a shape or surface can be useful in everyday life – for example you may need to know how much paint to buy to cover a wall or how much grass seed you need to sow a lawn.
This page covers the essentials you need to know in order to understand and calculate the areas of common shapes including squares and rectangles, triangles and circles.
Calculating Area Using the Grid Method
When a shape is drawn on a scaled grid you can find the area by counting the number of grid squares inside the shape.In order to find an area value using the grid method, we need to know the size that a grid square represents.Count the grid squares inside the large square to find its area..
There are 16 small squares so the area of the large square is 16 square centimetres.
In mathematics we abbreviate 'square centimetres' to cm2. The 2 means ‘squared’.
Step-by-step explanation:
is y=x squared a linear or nonlinear function
Answer:
Linear. y = x also equals y = 1x, and you can put a line on a graph using this equation, hence the name linear.
A pair of congruent angles are described as follows: The degree measure of one angle is three more than twice a number, and the other angle’s degree measure is 54.5 less than three times the number. Determine the measure of the angles in degrees
Answer:
The measure of the angles in degree is 57.5 degrees
Step-by-step explanation:
If two angles are congruent, they are equal in value
Let the number be x
2x + 3 = 3x-54.5
Thus;
3x-2x = 54.5 + 3
x = 57.5
given on km kk ml
prove kln mln
Answer:
i am bored in a house thats the only thing i could say
Step-by-step explanation:
number is less than -8
Answer:
x < -8
Step-by-step explanation:
hopes this helps
i cant really explain this one
Mark had saved $15 but he then had to pay a bill that cost him $5.76 how much money does he have left
Answer:
He will have $9.24 left
Step-by-step explanation:
15- 5.76= 9.24
i need help! asap please
Answer:
-1/1
Step-by-step explanation:
it's negative 1 over one because the graph is constantly going down but still to the right side and the line is touching every corner of the boxes
A turtle laid 70 eggs and 9/15 hatched how many eggs did not hatch
Answer:
6/15=28
Step-by-step explanation:
1 -9. =6/15
1 15
9/15×70=42
70-42=28
Answer:
6/15=28
Step-by-step explanation:
PLEASE HELP
(07.06 MC)
What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?
n = fraction 5 over 2
n = −1
n = fraction 5 over 3
n = 2
9514 1404 393
Answer:
n = 5/3
Step-by-step explanation:
Eliminate fractions, add 4, divide by the coefficient of n.
[tex]\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}[/tex]
A pote that is 3.5 m tall casts a shadow that is 1.08 m long same time, a nearby building casts a shadow that is 35.5 m long How tall is the building Round your answer to the nearest
Answer:
I ain't never seen 2 pretty bestfriends
Step-by-step explanation:
A factory is currently producing 50 Teslas everday. How many Teslas will be produced each day if production is to be increased to 130%?
Answer:
65
Step-by-step explanation:
If 100% they probably produce exact 50 of it everyday
so we need to find 30%
30/100 × 50 = 15
100% + 30% = 130%
50 + 15 = 65
Which statement is true for all functions f(x)?
O The graph of f(kx) is the graph of f(x) shifted left or right by|k| units.
O The graph of f(x) + k is the graph of f(x) shifted left or right by|k|units.
O The graph of -f(x) is the graph of f(x) reflected over the y-axis.
O The graph of –f(x) is the graph of f(x) reflected over the x-axis.
Answer:I think it’s t last one
Step-by-step explanation:
4a - 3 =
2a + 7
I need help
Answer:
a=5
Step-by-step explanation:
4a−3−2a=2a+7−2a
2a−3=7
2a−3+3=7+3
2a=10
2a /2 = 10 /2
a=5
How to solve an algebraic expression by putting values of unknown
Answer:
Step-by-step explanation:
Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...
5x + 3
5(5) + 3
25 + 3
28
Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.
HELP PLSSSSS. GUYS I NEED HELP LOL
Answer:
help with what
Step-by-step explanation:
what is 84/1,000 as a decimal
Answer:
0.084
Step-by-step explanation:
Since 1,000 has three zeros, move the decimal from 84 three places to the left because when dividing, you need to move the decimal to the left.
84. → .084
So, the answer is 0.084
Hope this helps! :)
a. If you have $2.25, write an equation in standard form that models the number of nickels x and dimes y that you could have.
b. If you have 25 nickels, how many dimes do you have?
Is 17 smaller or larger than 50% of 60?
Answer:
smaller
Step-by-step explanation:
It is smaller because half of 60 is 30
divide: x²-3x-33÷(x+4)
x^3+x^2-12x-33/x+4
/ = seperator of numerator and denominator
Answer:here is the answer, I hope it helps you
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose beds next to her garden. Each side of a bed measures 10.5 feet. How many feet of fencing does Laurel need in all?
Laurel needs____ feet of fencing.
Answer:
326
Step-by-step explanation:
The fences required=
50×4←Sqare garden + (10.5×4)×3←three rose bed
=326feet
Two types of sandwiches were made for a tea party. 55% of the sandwiches were chees e and the rest were chicken sandwiches. If there were 252 chicken sandwiches, how many sandwiches were made altogether?
Answer:
560 sandwiches were made
Step-by-step explanation:
set up a porportion.
45/252=55/x
45x=13860
x=308 cheese sandwichs
308+252=560
Answer:
560 sandwiches were made
Step-by-step explanation:
marke me brainlist
Help Me! ASAP! What is the slope of the line?
bentley bought a new dog toy for $10. if he paid 6% sales tax, how much money would he pay just for tax?
Answer:
$0.60
Step-by-step explanation:
Tax = price * sales tax
Tax = 10 * 0.06 = $0.60
On Saturday, Ashley rode her bicycle to visit Maria. Maria's house is
directly east of Ashley's. The graph shows how far Ashley was from her
house after each minute of her trip.
What was her average speed for the entire trip?
Answer: The average speed she was going 16 m/s
1. Find the next three term.
3,6,12,24
Answer:
48 96 and 192
Step-by-step explanation:
you just have to multiply by two
help on math homework plz help
Answer:
$1.40
Step-by-step explanation:
Subtract. 4.95-3.55 is 1.40
Answer:
the answer is $1.40
Examine (A), (B), and (C) and find the best answer.
(A) 3/5
(B) 8/9
(C) 5/7. a) (A) is greater than (B) and less than (C).
b) (A), (B), and (C) are equal.
c) (B) is greater than both (A) and (C).
d) (C) is greater than (B) and less than (A).
Answer:
its A
Step-by-step explanation:
Answer:
[tex] \boxed{option \: \boxed{(C)} \: is \: correct.}[/tex]
Step-by-step explanation:
[tex] \boxed{ \boxed{\frac{3}{5} = 0.6 } \: \boxed{\frac{8}{9} = 0.89} \: \boxed{ \frac{5}{7} =0.71 }} \\ hence \to \\(B) \: is \: greater \: than \: both \: (A) \: and \: (C).[/tex]
♨Rage♨
the value of k is ___.
Answer:
There is no k in that graph
Step-by-step explanation:
I'll give brainliest Please help
-4n(5n+6)-5(3+3n)
Answer: -20n^2 - 39n - 15
Step-by-step explanation:
first, we remove the parenthesis (multiply everything out).
-20n^2 - 24n - 15 - 15n
then, we simply collect like terms.
-20n^2 - 39n - 15
Answer:
-20n^2-39n-15
Step-by-step explanation:
Given: -4n(5n+6)-5(3+3n)
Use the distributive property: -20n^2-24n-15-15n
Combine like terms: -20n^2-39n-15
Your simplified expression is -20n^2-39n-15
