Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard quadratic format:
[tex]h(t)=-4.9t^2+490[/tex]. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.
The requried initial height of the object is 490 meters.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The object is dropped from a height of 49 meters.
We know this because the initial height is given by the first term of the expression in the parentheses, which is 49. When the object is dropped from the helicopter, t is equal to zero. Substituting t=0 into the equation for h gives:
h(0) = (49 + 4.9(0))(10 - 0) = 49(10) = 490
Therefore, the initial height of the object is 490 meters.
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A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?
Answer:
After the third bounce the ball reaches a height of less than 50cm.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:
[tex]A_n = A_0(r)^{n}[/tex]
In which [tex]A_0[/tex] is the first term and r is the common ratio.
A ball is dropped from a height of 5m.
This means that [tex]A_0 = 5[/tex]
After each bounce it rises to 35% of its previous height.
This means that [tex]r = 0.35[/tex]
Thus
[tex]A_n = A_0(r)^{n}[/tex]
[tex]A_n = 5(0.35)^{n}[/tex]
After how many bounces does the ball reach a Height of less than 50cm?
50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus
[tex]A_n = 5(0.35)^{n}[/tex]
[tex]0.5 = 5(0.35)^{n}[/tex]
[tex](0.35)^n = \frac{0.5}{5}[/tex]
[tex](0.35)^n = 0.1[/tex]
[tex]\log{(0.35)^n} = \log{0.1}[/tex]
[tex]n\log{0.35} = \log{0.1}[/tex]
[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]
[tex]n = 2.19[/tex]
Rounding up:
After the third bounce the ball reaches a height of less than 50cm.
What it is the surface area of a perfect square pyrimaid when the slant height is 1 and the base width is 3?
Answer:
15
Step-by-step explanation:
The base would be 3*3, as it's a square. There are 4 triangles, and the area of each triangle is 1*3/2=1.5. 1.5*4+9=15.
Please help
this is important (is a activity )
Answer:
y = 5
Step-by-step explanation:
This is a horizontal line. The value of y does not change
The equation is of the form y = constant
y = 5
Answer:
y = 5
Step-by-step explanation:
(PLEASE HELP + POINTS)
Use the drawing tool(s) to form the correct answer on the provided number line.
Solve the equation, and plot the solution(s) on the provided number line.
(Picture included)
Answer:
x = 4
Step-by-step explanation:
2/3x + 1/6 = 4/3x
Easiest way to solve is by multiplying the entire equation by 6x.
6x (2/3x + 1/6 = 4/3x)
4 + x = 8
subtract 4 rom both sides
x=4
Help its due rn!!!!!!!!!! Please
Answer:
C po
Step-by-step explanation:
sana maka tulong po sayo
a cone with base circumference 6 pi and
a height equal to half the radius
A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.
What is the volume of a cone?The volume of the cone is the product of one-third of the height, pie, and square of the radius.
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
A cone with a base circumference of 6 pi and a height equal to half the radius.
The circumference of the circular base = 2πr
6π = 2πr
r = 3
The radius of the circular base of a cone is 3 unit.
A height equal to half the radius. Thus, the height is 1.5
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
= 1/3 (3.14) (9)(1.5)
= 42.39
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1. What is the central measure found by adding all numbers in the data set and then dividing by the number of values
A. data
B. mean
C. median
D. mode
Answer:
mean will be find in that method
hence, correct option is B
ASAP!!!!!
Ms. Rodrigo’s class plays soccer during gym every 12 days. Mr. Tate’s class plays soccer every 8 days. If both classes are playing soccer today, how many days will it be before they both are playing soccer on the same day again?
Algebra evaluate each expression if a = -3 ,b= - 4 , and c = 5
what is 1. 5bc
Mr.Shand had $50 in his wallet on Friday after school.That night,He spent $11.50 on a pizza $3.75 on ice cream.One his way home,He found $5 on the ground ,How much money does Mr.Shand have at the end of the night?
Answer:
39.75
Step-by-step explanation:
so first we do 50-11.50-3.75+5. to simplify it 55-15.25
if u do the math that equals 39.75
to double check 39.75+15.25=55
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answer:
0.1007
Step-by-step explanation:
Given :
Average gain, μ = 0.8
Standard deviation, σ = 0.7
Number of companies, n = 20
Obtaining the standardized value ;
Zscore = (x - mean) / (σ/√n)
Zscore = (1 - 0.8) / (0.7/√20)
Zscore = (0.2 / 0.1565247)
Z = 1.27775
Using the Z probability calculator :
P(Z > 1.27775) = 0.10067
P(Z > 1.27775) = 0.1007 ( Z probability calculator)
Find the perimeter & area of the following shape.Hint: Look to the opposite sides to figure out the missing sides.
Answer:
Perimeter=110mm
Area=370mm²
Step-by-step explanation:
In Attached pictures
please give me brainliest if it help you
which one is greater 27.532 or 27.523
Answer: 27.532
Step-by-step explanation:
0.53>0.52
Answer:
27.532
27.532 is greater because .532 is greater than 523
What’s is the answer plzzzz help
eacg fruit basket has 5 apples and 3 pears . what is the ratio of the total number of fruits to the numbers of pears in each fruit basket ?
Answer:
The ratio is 5:3 because there are 5apples and 3 pears
Please help I will award brainless to whoever helps please it’s urgent
Answer:
128 sq units :)
Step-by-step explanation:
hope this helps! have a great day :)
Find the measure of each numbered angle.
Answer:
Angle 1 - 148
Angle 2 - 32
Angle 3 - 73
Angle 4 - 148
Angle 5 - 105
Step-by-step explanation:
Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148
Angle 2 has the same value as the opposing angle, 32
Angle 3 combined with 32 and 75 equals 180, therefore
Angle 3 = 180 - 32 - 75
Angle 3 = 73
Angle 4 is equal to angle 1
Angle 5 combined with 43 and Angle 2 (32) equals 180
Angle 5 = 180 - 43 - 32
Angle 5 = 105
Which option please I need help ASAP reply ASAP
Answer:
The answer is probably c
Step-by-step explanation:
its deducted by the x axis
Answer:
B
Step-by-step explanation:
Under any given transformation, an image is an original image while the pre-image is the new image.
A. True
B. False
Answer:
This has some fact to it. Its sorta tricky but I'd say False.
Step-by-step explanation:
The polygons are similar, but not necessarily drawn to scale.
The boys and girls soccer clubs are fundraising for new uniforms. The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to represent the situation
Inequality 1:
Inequality 2:
Answer:
2b + 4c = 800
c > 100
Step-by-step explanation:
The two linear inequalities are 2S+4C>800
and C[tex]\geq[/tex]100
It is given that The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4.They must raise more than $800. The girls expect to sell at least 100 candles. We have to write this situation in system of linear equality
What is system of linear inequalities?
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables.
The soccer ball is denoted by S and Candles by C
Therefore 2S+4C>800 (We use > symbol for More than)
and C[tex]\geq[/tex]100
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A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer
the following questions.
a. Write a function that represents the amount of medicine after h hours.
b. How much is left after 4 hours? 8 hours?
Answer:
25 x 0.84 ^ h = X
After 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
Step-by-step explanation:
Given that a particular medicine decays at a rate of 16% every 4 hours, if a person takes a 25 mg dose, to write a function that represents the amount of medicine after h hours, and determine how much is left after 4 hours and 8 hours, the following calculations must be performed:
100 - 16 = 84
25 x 0.84 ^ h = X
25 x 0.84 ^ 4 = X
25 x 0.4978 = X
12.45 = X
25 x 0.84 ^ 8 = X
25 x 0.2478 = X
6.20 = X
Therefore, after 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
calculate (2.8+1.36)÷(4-2.7)
The answer is 3.2
Hope this answer is right!
solve the simultaneous equation 2x+5y=6 and 5x-2y=9
Answer:
[tex]x = \frac{57}{29} \ , \ y = \frac{12}{29}[/tex]
Step-by-step explanation:
2x + 5y = 6 --------( 1 )
5x - 2y = 9 --------( 2 )
_____________
( 1 ) x 5 => 10x + 25y = 30 -----------( 3 )
( 2 ) x 2 => 10x - 4y = 18 ----------- ( 4 )
______________
( 3 ) - ( 4 ) => 0 + 29y = 12
[tex]y = \frac{12}{29}[/tex]
Substitute y in ( 1 ) =>
[tex]2x + (5 \times \frac{12}{29}) = 6\\\\2x + \frac{60}{29} = 6\\\\2x = 6 - \frac{60}{29}\\\\2x = \frac{174 - 60}{29}\\\\x = \frac{114}{29 \times 2}\\\\x = \frac{57}{29}[/tex]
What are the domain and the range of this function? (PLEASEEE HELP MEE!!))
Answer:
Unisciti prestu è tornerete à u megliu di LUCKY hè un mc da spada arte di fà u pudete vede a mo quantità enorme di tempu per esplorà novi modi di ur affari Outta
Please help quickly :D
Hope this help!!!
Have a nice day!!!
Please help me with this it's urgent!
Answer:
I think finite
Step-by-step explanation:
Pls help this is due soon!!!
The population of the African country of Madagascar in 2018 is about 26 million. The estimated population of Madagascar is given by the function P(t)=26(1.03)t , where t represents the time in years since 2018 and P(t) represents the population in millions.
part a. In 2020 , the population will be blank million
part b. What is the meaning of P(t)=50 ?
The population 50 years after 2018 is P(t) ,
The population 50 years after 2018 is cap p times t, ,
The population t years after 2018 is 50 million.
The population t years after 2018 is 50 million.
The population 50 years after 2018 is 50 million.
The population 50 years after 2018 is 50, million.
The population t years after 2018 is about 114 million.
Answer:
The current population of Madagascar is 28,354,778 as of Thursday, June 10, 2021, based on Worldometer elaboration of the latest United Nations data.
Madagascar 2020 population is estimated at 27,691,018 people at mid year according to UN data.
Madagascar population is equivalent to 0.36% of the total world population.
Madagascar ranks number 51 in the list of countries (and dependencies) by population.
The population density in Madagascar is 48 per Km2 (123 people per mi2).
The total land area is 581,795 Km2 (224,632 sq. miles)
38.5 % of the population is urban (10,670,252 people in 2020)
The median age in Madagascar is 19.6 years.
Step-by-step explanation: i dont know man
circle with a center of (4,6) and a us of 10 units. which equation represents the circle
(x-4)²+(y-6)² =100 is the equation of the circle with a center of (4,6) and a radius of 10 units
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The standard equation of a circle is (x-h)²+(y-k)² =r²
In the equation (h, k) represents the center of the circle.
r is the radius of the circle.
From given that circle with a center of (4,6) and a radius of 10 units.
We need to find the equation of the circle.
Substitute h=4, k=6 and r=10
We get (x-4)²+(y-6)² =10²
Hence, (x-4)²+(y-6)² =100 is the equation of the circle with a center of (4,6) and a radius of 10 units.
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Write as an equation: When -2 is subtracted from w, the result is 49
Step-by-step explanation:
w-(-2)=49
or, w+2=49
or, w= 47
which is the required equation.
Answer:
[tex]{ \bf{w - ( - 2) = 49}} \\ \\ { \boxed{ \tt{w + 2 = 49}}}[/tex]
