Missing Part of the Question:
- The time required for the rocket to reach its maximum height
- The maximum height of the rocket
Answer:
a. Time to reach maximum height is 1.37 seconds
b. Maximum Height = 34.1 metres
Step-by-step explanation:
Given.
H(t) = -4.9t² + 13.4t + 24.9
Solving (a): Time taken to reach maximum height.
A quadratic equation is:
f(x) = ax² + bx + c
Where
a = -4.9
b = 13.4
c = 24.9
This required time is represented by the vertex and is calculated as thus:
t = -b/2a
Substitute values for b and a
t = (-13.4)/(2 * -4.9)
t = -13.4/(-9.8)
t = 13.4/9.8
t = 1.37 (approximated)
Hence the time to reach maximum height is 1.37 seconds
b. Maximum height
Here, we simply substitute 1.37 for t in
H(t) = -4.9t²+ 13.4t + 24.9
Maximum Height = -4.9 * 1.37² + 13.4 * 1.37 + 24.9
Maximum Height = -4.9 * 1.8769 + 13.4 * 1.37 + 24.9
Maximum Height = -9.19681 + 18.358 + 24.9
Maximum Height = 34.06119
Maximum Height = 34.1 metres (approximated)
Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. The equation P=17.50x+65P=17.50x+65 represents Ryan's total pay on a day on which he sells xx computers. What is the yy-intercept of the equation and what is its interpretation in the context of the problem
The y intercept is what is added at the end.
The y intercept is 64
This is his base pay amount, the amount he gets paid even if he doesn’t sell anything.
Answer:
Step-by-step explanation:
The United States Declaration of Independence, officially The unanimous Declaration of the thirteen united States of America, is the pronouncement and founding document adopted by the Second Continental Congress meeting at Pennsylvania State House, which was later renamed Independence Hall, in Philadelphia, Pennsylvania, on July 4, 1776. Enacted during the American Revolution, the Declaration explains why the Thirteen Colonies at war with the Kingdom of Great Britain regarded themselves as thirteen independent sovereign states and no longer subject to British colonial rule. With the Declaration, the 13 states took a collective first step in forming the United States and, de facto, formalized the American Revolutionary War, which had been ongoing since April 1775.
The Declaration of Independence was signed by 56 of America's Founding Fathers who Second Continental Congress delegates from New Hampshire, Massachusetts Bay, Rhode Island and Providence Plantations, Connecticut, New York, New Jersey, Pennsylvania, Maryland, Delaware, Virginia, North Carolina, South Carolina, and Georgia. The Declaration became one of the most circulated and widely reprinted documents in early American history.
The Committee of Five drafted the Declaration to be ready when Congress voted on independence. John Adams, a leading proponent of independence, persuaded the Committee of Five to charge Thomas Jefferson with authoring the document's original draft, which the Second Continental Congress then edited. The Declaration was a formal explanation of why the Continental Congress had voted to declare its independence from Great Britain, a year after the American Revolutionary War broke out. The Lee Resolution for independence was passed unanimously by the Congress on July 2.
After ratifying the text on July 4, Congress issued the Declaration of Independence in several forms. It was initially published as the printed Dunlap broadside that was widely distributed and read to the public. Jefferson's original draft is currently preserved at the Library of Congress in Washington, D.C., complete with changes made by Adams and Benjamin Franklin, and Jefferson's notes of changes made by Congress. The best-known version of the Declaration is the signed copy now displayed at the National Archives in Washington, D.C., which is popularly regarded as the official document. This engrossed copy was ordered by Congress on July 19 and signed primarily on August 2, 1776.[2][3]
The sources and interpretation of the Declaration have been the subject of much scholarly inquiry. The Declaration justified the independence of the United States by listing 27 colonial grievances against King George III and by asserting certain natural a
uji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.
A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80.
Which value could replace x in the table?
30 – g + g
3(30 – g)
30 – g(3)
30 – g + 3
Answer:
3(30-g)
Step-by-step explanation:
Answer:
second one B. 3(30-g)
Step-by-step explanation:
si a= 2 m y b= 3m,¿Cual es el valor numerico del area en metros cuadrados?
What is 20ft x 5ft x 2ft but squared. When I say Squared I mean like theres a lil number at the top of the ft abbreviation. ³ - like that.
Answer:
it should be 40,000
Step-by-step explanation:
if you just multiply 20,5, and 2 together and multiply that answer by itself
Find the difference between the simple interest and compound interest on RS 2500 for 2 years at 4% per annum, compound interest being reckoned semi annually.
Step-by-step explanation:
Given P=Rs.2,500,r=4%, N=2
CI=P(1+
100
R
)
2
−P=2,500(1+
100
4
)
2
−2,500=2,500(
100
2
104
2
−1)=
10,000
2,500×816
=Rs.204
SI=
100
P×T×R
=
100
2,500×4×2
=Rs.200
Difference=Rs.4
define domian and range
Domain is all the values that go into a function, and the range is all the values that come out.
Can someone help me with this please :)
Answer:
:)
Step-by-step explanation:
I have no idea in the slightest
Answer:
1. > 2. = 3.<
Step-by-step explanation:
1. Well first I had to reduce 8/10. I found out that it is, when reduced, is 4/5. 4/5 is bigger than 3/8.
2. 10/10 and 8/8 are both equal to 1. So they are both equal.
3. none of those fractions had to reduced. Now 5/8 is bigger than 3/16.
The function f(x) is graphed on the coordinate plane. What is f(-1)?
find the equation of the line using y = mx + b. Then translate it as a function.
f(x) = -2x + 1
f(-1) = -2(-1) + 1
f(-1) = 3
When the smoke cleared, the ratio of believers to skeptics was 15 to 7.If they were 105 believers, how many skeptics were there? PLEASE ANSWER QUICK
Answer:
[tex]\large\boxed{49}[/tex]
Step-by-step explanation:
Belivers to skeptics = 15 : 7
From the above ratio, we know that:
Believers = 15
Skeptics = 7
There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.
15 : 7 = 105 : x
Ratios can be written as fractions. Rewrite to simplify.
[tex]\frac{15}{7}[/tex] = [tex]\frac{105}{x}[/tex]
Cross multiply (numerator * denominator = numerator * denominator)
7 * 105 = 15 *x
735 = 15x
Divide both sides of the equation by 15
x = 49
There were 49 skeptics.
Hope this helps! Let me know if you have any questions!
(-7/2z+4)+(1/5z-15)=
Answer:
-33/10 z - 11
6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full credit
X-4=2(y - 3)
Answer:
[tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.
so the slope will be:
[tex]m=\frac{1}{2}x[/tex]and y-intercept will be:
b = 1Step-by-step explanation:
Given the equation
[tex]x-4=2(y - 3)[/tex]
As we know that [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Converting to slope-intercept form
[tex]x-4=2(y - 3)[/tex]
switching sides
[tex]2\left(y-3\right)=x-4[/tex]
[tex]2y-6=x-4[/tex]
[tex]2y=x-4+6[/tex]
[tex]2y=x+2[/tex]
[tex]y=\frac{1}{2}x+1[/tex]
As [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Therefore, [tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.
so the slope will be:
[tex]m=\frac{1}{2}x[/tex]and y-intercept will be:
b = 1FIRST CORRECT ANSWER WILL GET BRAINLIEST PLEASE SOLVE THESE ITS DUE TODAY
write 2^100 as an exponent with a base of:
a)16
b)32
c)1024
Answer: The answer is C.
Step-by-step explanation: Brainliest if correct
helpp ill mark u as brainlist
Answer:
H
Step-by-step explanation:
1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7
The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Equation of a lineThe equation of a line in slope-intercept form is expressed as;
y = mx + b
where;
m is the slope
b is the y-intercept
For two lines to be perpendicular, the product of their slope must be -1
Given the equation 2x - y =7
Rewrite
y = 2x - 7
The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Learn more on equation of a line here: https://brainly.com/question/13763238
#SPJ1
Y=4x-6
linear or function
Answer:
linear hope this helps :>
Can you help me please
Answer:
What is the question On this assignment?
find the value of x so that the function has the given value.
q(x)=12x−3; q(x)=−4
Answer:
[tex] - \frac{1}{ 12} [/tex]
Step-by-step explanation:
since q(x)=-4
substitute
hence
-4=12x-3
take -3 to the other side where it becomes positive
therefore
-1=12x
divide by 12
you will get the above answer
Please help - find the orthocenter.
Answer:
Step-by-step explanation:
The line RS has a vertical line running through S. The line has the equation of x = - 1
The line running through R (the origin) has a slope to be determined by the points TS
T=6,0
S=-1,4
m = (y2 - y1) / (x2 - x1)
m = (4 - 0)/(-1 - 6)
m = 4/-7
The line you want going through 0,0 has a slope of m1 * m2 = -1 where m1 = -4/7
-4/7 * m2 = - 1
m2 = -1/(-4/7) = 7/4
Since the line goes through 0,0 the equation is y = 7/4 x
====================
The orthocenter must be on a y value determined by x = - 1
The orthocenter is (-1,-7/4)
y = 4/7
The orthocenter is (-1,4/7)
Factor the polynomial expression 27x^6-8
Answer:
(3 x 2 − 2) (9 x 4 + 6 x 2 + 4)
Step-by-step explanation:
I attached a screenshot that explains more
May I ave brainliest please? :)
A chess club has 480 members but is losing 30 members each year. A computer club has 130 members and is gaining 20 members per year. When will the two clubs have the same number of members?
Answer:
The two clubs will have the same number of members after 7 years
Step-by-step explanation:
Let the number of years is x
∵ A chess club has 480 members but is losing 30 members each year
∵ The number of years = x
∴ The total members after x years = 480 - 30x ⇒ (1)
∵ A computer club has 130 members and is gaining 20 members per year
∵ The number of years = x
∴ The total members after x years = 130 + 20x ⇒ (2)
∵ The two clubs will have the same number of members after x years
→ Equate (1) and (2)
∴ 480 - 30x = 130 + 20x
→ Add 30x t both sides
∵ 480 - 30x + 30x = 130 + 20x + 30x
∴ 480 = 130 + 50x
→ Subtract 130 from both sides
∵ 480 - 130 = 130 - 130 + 50x
∴ 350 = 50x
→ Divide both sides by 50
∴ 7 = x
∴ The two clubs will have the same number of members after 7 years
y=5
y=3
Identify the slope and y-intercept of the line with the given equation. (2pts. each)
15. y=7x-4
16.2x + 5y = 5 17.-3x - 49 = -16
HELP PLEASE, I will give brainliest
Answer:
The first one.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The first one is correct.
The height of a trapazoid can be expressed as (x-4) while the bases can be expressed as (x+4) and (x-9). If the area of the trapazoid is 99 cm squared, what is the length of the larger base
9514 1404 393
Answer:
≈ 17.228101 cm
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
Filling in the given information, we have ...
99 = (1/2)((x+4) +(x-9))(x -4) = (1/2)(2x -5)(x -4)
198 = 2x^2 -13x +20
2(x -3.25)^2 = 199.125
x = 3.25 +√99.5625 ≈ 13.228101
Then the length of the larger base is ...
x+4 = 17.228101 . . . cm
Solve for x
3x - 8= 7x +4
Answer:
x=-3
Step-by-step explanation:
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west. How far apart are the sales representatives? Estimate the distance to the nearest tenth. 22.6 mi 16.4 mi 20.6 mi 11.8 mi
Answer:
d = 20.6 miles
Step-by-step explanation:
Given that,
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.
It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :
[tex]d=\sqrt{20^2+5^2} \\\\=20.61\ mi[/tex]
So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).
jada has already taken 4 pages of notes on her own, and she will take 2 pages out during each class session. In all, how many classes did jada attend if she rae out 56 pages ? explain how you know
Answer:
26
Step-by-step explanation:
I don't totally understand you question but if its 4 pages originally then she takes 2 pages every class, then
56-4= 52 (56 pages minus the 4 she already took).
52/2= 26 (52 pages divided by 2 pages per class)
In exercise 14 and 15, the value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x. then find the surface area and volume of the cylinder. 14)With the height of x and base of 6ft 15) with the height x and base of 10 m
Answer and explanation:
Volume of a cylinder = π r² h
Surface area of a cylinder = 2π r h + 2π r².
Since volume of cylinder = surface area of cylinder
π r² h=2π r h + 2π r²
Solving 14)
Given height x and base 6ft, radius will be 3ft
π r² h=2π r h + 2π r²
22/7*3²*x= 2*22/7*3*x+2*22/7*3²
=22/7*9*x= 2*22/7*3*x+2*22/7*9
= 28.286x=18.857x+2*28.286
=28.286x=18.857x+56.572
=9.429x=56.572
x=5.999ft( x cannot be a negative value)
15) Given height x and base 10 m, radius will be 5m
π r² h=2π r h + 2π r²
22/7*5²*x= 2*22/7*5*x+2*22/7*5²
78.5714x= 31.429x+157.1428
47.1424x=157.1428
x=3.333m( because x cannot be negative)
⚠️⚠️PLEASE ANSWER ASAP⚠️⚠️
USE SURDS!!!
WILL GIVE BRAINLIEST/THANKS
Answer:
5+3√3
Step-by-step explanation:
hope this helps:)
Find the measures of the angles of the AABC ifm ZA: m2B:m2C=2:3:4.
Answer:
AABC=76.9067 m2C=2:3:4.=234.76
Which one is correct?
Answer:
7
Step-by-step explanation:
Proprtion is 1:3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:7
Step-by-step explanation:
there all is divided by three for the smaller triangles