Answer:
t = 15.42 s
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
[tex]y=-16x^2+242x+73[/tex]
We ned to find the time when the rocket will the ground. For this, y = 0
[tex]-16x^2+242x+73=0[/tex]
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = -16, b = 242 and c = 73
[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]
Neglecting negative value.
So, it will hit the ground in 15.42 s.
Answer:
t = 15.42 s
Step-by-step explanation:
15. In the drawing, find the perimeter of triangle BIS.
Answer:
29.86 units
Step-by-step explanation:
In the triangle BIS, IT is the bisector of angle BIS,
[tex] BI \cong ST.... (given) \\[/tex]
Let BI = ST = x... (1)
By angle bisector property of a triangle, we have:
[tex] \frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\
\frac{x}{12} = \frac{4}{x}\\\\
x\times x = 12\times 4\\\\
x^2 = 48\\\\
x=\sqrt{48}\\\\
x = 6.92820323\\\\
x = 6.93\\[/tex]
Therefore,
BI = ST =6.93
Perimeter of triangle BIS
= BI + IS + ST + BT
= 6.93 + 12 + 6.93 + 4
= 29.86 units
.53х^2 – .6х^3
Standard form
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.
Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?
Answer:
Andy gets 60
Polly gets 30
Phoebe gets 180
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D
Answer:
B. $5.94
Step-by-step explanation:
Based on the work shown on the left, what is the simplest form of StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot ?
Answer:
It's A
Step-by-step explanation:
The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation or expression is √(250c³/9d⁶)
StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot
This can be written as √250c³/√9d⁶
The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³
√ 25c²×10c/3d³
The square root of 25 is 5
5c√ 10c/3d³
Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
The relationship between the number of pounds (lb) of cereal and the price in dollars is shown in the graph. What is the unit price of cereal?
Answer:
D
trust me I got it right
A 150-foot fence encloses a garden.What is the length of each side of the garden.
Answer:
15 ft 45 ft 30 ft 60 ft
Step-by-step explanation:
rewrite the equation by completing the square x^2-2x+1=0
Answer:
(x-1)^2=0#
Explanation:
#x^2-2x+1=0#
Let's start by subtracting #1# from both sides so that the #x# terms are isolated:
#x^2-2x=-1#
Now, let's compute #(b/2)^2# and add it to both sides of the equation:
#(b/2)^2=(-2/2)^2=1#
#x^2-2x+1=-1+1#
Let's factorize the left hand side and simplify:
#(x-1)(x-1)=0#
#(x-1)^2=0#
For u ppl doing the challenges here u go!
Answer:
ily <3
Step-by-step explanation:
(1.2 x 105)2 + (3.11 x 1010) = ?
Matt has started a car washing business to save
money for college. Each week, he washes 3 more
cars than he did the week before. Matt started by
washing 6 cars his first week in business.
Write a explicit formula that can be used to find the number of
cars he washed on any given week.
A = 6+3n
B = 6(3n-1)
C = 6+3(n-1)
D = 3+6(n-1)
Answer:
A) =6+3n
Step-by-step explanation:
Solve for b. ab + c = d
b = (d-c)/a
b = a + c/d
b = a/(c-d)
Answer:
1st Option
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
ab + c = d
Step 2: Solve for b
Subtract c on both sides: ab = d - cDivide both sides by a: b = (d - c)/aAnswer:
B = (d-c)/a
Step-by-step explanation:
My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild. Determine all possibilities for the ages of my grandparents’ grandchildren.
Answer:
lets say they are a,b,c,d
a*b*c*d=67184
a<10
a=d-30
also bear in mind that b and c are in between
the rest is just trial and error as long as you satisfy all those equations above
Step-by-step explanation:
Solve the equation for x.
Answer:
x = 5
Step-by-step explanation:
4(x-1)/8 = 2(x+2)/7
7*4(x-1) = 8*2(x+2)
28(x-1) = 16(x+2)
28*x + 28*-1 = 16*x + 16*2
28x - 28 = 16x + 32
28x - 16x = 32 + 28
12x = 60
x = 60/12
x = 5
Check:
4(5-1)/8 = 2(5+2)/7
4*4/8 = 2*7/7
16/8 = 2*1 = 2
What is the slope???
Answer:
[tex]m=1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -1)
Point (1, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+1}{1-0}[/tex]Add/Subtract: [tex]m=\frac{1}{1}[/tex]Divide: [tex]m=1[/tex]230% of what number is 92
Answer:
250
Step-by-step explanation:
Following shows the steps on how to derive this formula
Step 1: If 92% of a number is 230, then what is 100% of that number? Setup the equation.
230
92% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
92Y = 230 x 100
92Y = 23000
Y = 23000
100 = 250
What is
230
% of
92
? = 250
Answer:
250
Explanation:
230 x 100 ÷ 92 =250
If m <2 = 120', what is m<7?
m<7=120'
Step-by-step explanation:
m<2 = m<6 because m and l are parallel and m<6 =m<7 because they are vertically opposite angles (v.o.a)
Answer:
m<7=120
Step-by-step explanation:
2 and 7 are alternate exterior angles and because l and m are parallel lines then m<2=m<7
A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the bike is
rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the number of hours
and y represent the total cost of the rental. If another customer rents a bike for 8 hours, how much
should he expect to pay?
Answer:
34
Step-by-step explanation:
lifa a tarinici de alallqule sie~$1s de 0,sile s umamos $24 ($3 por cada hora) da 34
Why would a mutual fund, a collection of stocks, bonds, and other securities, have less risk than investing in stocks alone?
Answer:
Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.
Step-by-step explanation:
got 100% on edge
Please help mee. Please help mee.
Please help mee.
Please help mee.
Please help mee.
Please help mee.
Please help mee.
Please help mee.
Please help mee.
Please help mee.
Please help mee.
Where is the angle of depression?
Where is the angle of elevation?
How far apart are the two buildings?
What’s the height of the taller building?
Answer:
angle of elevation is at top and depresseion on bottom.
Step-by-step explanation:
far apart and height is calculated with more information
Consider the line segment below.
А
M
B
(7x + 8) cm
(9x – 8) cm
Part A - If AB is 128 centimeters long, what is the value of a?
Part B - What is the length of AM?
AM
cm.
Part C - What is the length of BM?
BM
cm.
Part D - Is point M the midpoint of AB? Justify your answer.
Answer:
Part A
x = 8
Part B
AM = 64 cm
Part C
BM = 64 cm
Part D
AB = AM + BM
Step-by-step explanation:
Consider the line segment below.
АM = (7x + 8) cm
BM = (9x – 8) cm
Part A - If AB is 128 centimeters long, what is the value of x?
AB = AM + BM
128 = (7x + 8) + (9x - 8)
128 = 7x + 9x + 8 - 8
128 = 16x
x = 128/16
x = 8
Part B - What is the length of AM?
АM = (7x + 8) cm
AM = 7(8) + 8 cm
AM = 56 + 8 cm
AM = 64 cm.
Part C - What is the length of BM?
BM = (9x – 8) cm
BM = 9 × 8 - 8 cm
BM = 72 - 8 cm
BM = 64 cm.
Part D - Is point M the midpoint of AB? Justify your answer.
A.............. M............... B
Hence: From the Above illustration,
M is the Midpoint because it divided AB into 2 equal parts
= AM and BM
Hence:
AB = AM + BM
helppp messsss please
What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...
Answer:
1/10
I hope this helps!
Answer:
1/10
Step-by-step explanation:
6/20, 5/20, 4/20, 3/20 2/20
HELP ASP ON KITCHEN MATH !!!
Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring
How make 6 dozens cookies
Answer:
6 Dozen
Shortening: 6/4
Granulated Sugar: 18/4
Beaten Eggs: 2/4
Vanilla Extract: 2/2
Butter Flavoring: 2/4
Salt: 2/2
Baking Soda: 6/2
Cake Flour: 4
Food Coloring x 2
Step-by-step explanation:
6 ÷ 3 = 2
3 Dozen
Shortening: 3/4
Granulated Sugar: 9/4
Beaten Eggs: 1/4
Vanilla Extract:1/2
Butter Flavoring: 1/4
Salt: 1/2
Baking Soda: 3/2
Cake Flour: 2
Food Coloring
--------------------------------------------------
Shortening: 3/4 x 2
Granulated Sugar: 9/4 x 2
Beaten Eggs: 1/4 x 2
Vanilla Extract: 1/2 x 2
Butter Flavoring: 1/4 x 2
Salt: 1/2 x 2
Baking Soda: 3/2 x 2
Cake Flour: 2 x 2
Food Coloring x 2
--------------------------------------------------
6 Dozen
Shortening: 6/4
Granulated Sugar: 18/4
Beaten Eggs: 2/4
Vanilla Extract: 2/2
Butter Flavoring: 2/4
Salt: 2/2
Baking Soda: 6/2
Cake Flour: 4
Food Coloring x 2
6 Dozen cookies make with;
The amount of Shortening = 3/2
The amount of Salt = 2/2 = 1
The amount of Granulated Sugar = 9/2
The amount of Baking Soda = 6/2 = 3
The amount of Beaten Eggs = 1/2
The amount of Vanilla Extract = 1
The amount of Cake Flour = 4
The amount of Food Coloring = 1
The amount of Butter Flavoring = 1/2
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For, 3 Dozen cookies we use;
The amount of Shortening = 3/4
The amount of Salt = 1/2
The amount of Granulated Sugar = 9/4
The amount of Beaten Eggs = 1/4
The amount of Vanilla Extract = 1/2
The amount of Butter Flavoring = 1/4
The amount of Baking Soda = 3/2
The amount of Cake Flour = 2
The amount of Food Coloring = 1/2
Since, We have to calculate all amount of things for 6 dozen cookies.
And, 3 x 2 = 6
Hence, 6 Dozen cookies make with;
The amount of Shortening = 3/4 x 2 = 3/2
The amount of Granulated Sugar = 9/4 x 2 = 9/2
The amount of Beaten Eggs = 1/4 x 2 = 1/2
The amount of Vanilla Extract = 1/2 x 2 = 1
The amount of Butter Flavoring = 1/4 x 2 = 1/2
The amount of Salt = 1/2 x 2 = 1
The amount of Baking Soda = 3/2 x 2 = 3
The amount of Cake Flour = 2 x 2 = 4
The amount of Food Coloring = 1/ 2 x 2 = 1
So, 6 Dozen cookies make with;
The amount of Shortening = 3/2
The amount of Salt = 2/2 = 1
The amount of Granulated Sugar = 9/2
The amount of Baking Soda = 6/2 = 3
The amount of Beaten Eggs = 1/2
The amount of Vanilla Extract = 1
The amount of Cake Flour = 4
The amount of Food Coloring = 1
The amount of Butter Flavoring = 1/2
Learn more about the product visit:
https://brainly.com/question/13934852
#SPJ5
When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7100 7 100 said mashed potatoes. Which food is more popular? How do you know?
Answer:
Turkey is more popular
Step-by-step explanation:
Turkey is more popular
From the given information:
We are being informed that 9% of the people said turkey; &
7/100 said mashed potatoes.
The percentage of people that chose mashed potatoes = 7%
This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.
Precent of _____ -The ratio of a amount of decrease to the previous amount expressed as a percent
Answer:
Percent of decrease - the ratio of an amount of decrease to the previous amount expressed as a percent
Step-by-step explanation:
Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a
Answer:
[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]
[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
☄ Question : Subtract the following using horizontal method :
i. 2x from -5x-5a from -18a✎ Step - by - step Explanation :
2x from -5xIn horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.
[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]
[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]
Likewise , Let's do next too:
-5a from 18 a[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]
Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]
And we're done!
Hope I helped!
Have a wonderful time ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
i)-7x ii)23a
Step-by-step explanation:
i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a