A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height
of the rocket in feet is given by the polynomial -167 + 83t + 33, where t is the time in seconds. How high will
the rocket be after 3 seconds?
HELP ASAP
Answer:
138 feet
Step-by-step explanation:
plug "3" into the expression by replacing "t" with "3"
-16t^2+83t+33
-16(3)^2+83(3)+33 (remember PEMDAS)
=-16(9)+249+33
=-144+282
=138 (I hope this helps)
Carlos has equal numbers of classical songs, country
songs, and pop songs loaded on his personal music player.
He has it set to play songs on a random shuffle. Suppose
Carlos is designing a simulation that could be used to
estimate the probability that the next three songs to play
are all country songs.
Which simulation design could Carlos use to estimate the probability?
Answer:
Step-by-step explanation:
A
The simulation design could Carlos use to estimate the probability is option D.
Option D is the correct answer.
We have,
In this simulation design:
Carlos assigns specific numbers on the random digits from 1 to 6 to represent different types of songs.
He assigns the numbers 1, 2, and 3 to represent classical songs.
The numbers 4, 5, and 6 represent country songs.
The numbers 7, 8, 9, and 0 represent pop songs.
By generating random digits and observing their values,
Carlos can simulate the random shuffle of his music player.
He would then track and count instances where three consecutive numbers are all in the range of 4, 5, and 6.
These instances would correspond to the occurrence of three consecutive country songs.
Thus,
By running this simulation for a sufficient number of trials, Carlos can estimate the probability of the next three songs being all country songs based on the relative frequency of such occurrences.
Learn more about simulations here:
https://brainly.com/question/1667033
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Solve the following problems using ELIMINATION.
(pls explain steps also! Giving Brainliest for correct answer and if you “actually” showed work and tried :))
8x - 5y =-18
2x + 5y = 58
Answer:
(4,10)
Step-by-step explanation:
8x - 5y = -18
+ 2x + 5y = 58
10x = 40
Dive both sides by 10.
x = 4
2x + 5y = 58
2(4) + 5y = 58
8 + 5y = 58
5y = 50
y = 10
Carole worked her 40 regular hours last week plus 6 overtime hours at the time-and-a-half rate. Carole's regular hourly rate is $11.50. How much did Carole get paid last week?
Answer:
$563.50
Step-by-step explanation:
The computation of the amount that should be paid to Carole last week is shown below
Since she worked 40 regular hours and 6 overtime hours
For regular hours, the wage rate is $11.50
And, for overtime it would be
= $11.50 + $11.50 ÷ 2
= $11.50 + $5.75
= $17.25
So, the amount that should be paid is
= 40 × $11.50 + 6 × $17.25
= $460 + $103.50
= $563.50
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
Answer:
$1.50 2/3
Step-by-step explanation:
I hope this helps :)
Based on this picture and your knowledge of the Pythagorean Theorm, what is the ara of the empty square?
Answer:
100 units^2
Step-by-step explanation:
a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2 (area of square)
10=c (length of hypotenuse)
Therefore, the area of the square is 100 units^2
Max is going to go to a four-year college where the annual tuition is $14,835. He has money in savings and he earned a work-study as shown below. Max is going to pay the rest with money from a student loan. How much does he have to borrow?
One third of number is 8 less than the three times of the number, working pls
Answer:
the required number is 12
Answer:
3Step-by-step explanation:
One third of number is 8 less than the three times of the number
The number is x, then:
1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3Help fast please due in 10 mins
Answer: 465
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
Which of the following expressions represents the distance between −3.9 and −4.7?
Choice a: ∣−4.7−3.9∣
Choice b: ∣−3.9−4.7∣
Choice c: none of the above
NEED NOW
(Absolute value)
Answer: Choice C: none of the above
Step-by-step explanation:
The distance between two numbers would be |(number 1) - (number 2)|
--------------------------------------------------------------
Given
Number 1=-3.9
Number 2=-4.7
|(number 1) - (number 2)|
=|(-3.9) - (-4.7)|
=|-3.9+4.7|
The choice is not available.
Therefore, it is none of the above.
Hope this helps!! :)
Please let me know if you have any questions
a car travelling a constant speed of 60km in 18 minutes .how far will the car travel in 1 hour 12 minutes?
Answer:
240 km.
Step-by-step explanation:
The car travels 200km per hour. so multiply it by 1.2 and you get 240km.
The equations of three lines are given below.
Line 1: 10x+6y=6
Line 2: 5y=3x + 6
Line 3: y= 3/5 x -4
Please help
Answer:
They are parallel because they hold a same gradient which is 3/5
Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny nails then she did 10 penny nails. She had a total of 8 nails. How many 6 penny and 10 penny nails did sara purchase?
Answer:
Sara bought 5 6 penny nails and 3 10 penny nails
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial below?
Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
Answer:
C. (p - 6q)(p² + 6pq + 36q²)
Step-by-step explanation:
Equation at the end of step 1
[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]
Trying to factor as a Difference of Cubes:
Factoring: p^3 - 216q^3
Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]
[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]
[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]
[tex]a^{3} +0+0-b^{3} =[/tex]
[tex]a^{3} -b^{3}[/tex]
Check: 216 is the cube of 6
Check: p^3 is the cube of p^1
Check: q^3 is the cube of q^1
Factorization is:
[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]
Trying to factor a multi variable polynomial :
Factoring: p^2 + 6pq + 36q^2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final Result:
(p - 6q)(p² + 6pq + 36q²)
PLEASE HELP ME! QUICK POINTS FOR YOU!
All information needed is in the image below.
Please answer all parts!
Answer:
x = 14
∠ABD = 66
∠DBC = 24
Step-by-step explanation:
The sum of the two angles is 90 degrees, so:
3 (x + 8) + 2x - 4 = 90 (distribute 3)
3x + 24 + 2x - 4 = 90 (simplify)
5x + 20 = 90 (subtract 20 from both sides)
5x = 70 (divide both sides by 5)
x = 14
∠ABD = 3 (x + 8) (plug in 14)
∠ABD = 3 (14 + 8) simplify
∠ABD = 3 (22)
∠ABD = 66
∠DBC = 2x - 4 (plug in 14)
∠DBC = 2(14) - 4 (simplify)
∠DBC = 28 - 4
∠DBC = 24
To check, 66+24=90.
Answer:
The answer I got was
3(-26+8) = -54
2(-26)-4 = -56
Step-by-step explanation:
3(x+8)=2x−4
(3)(x)+(3)(8)=2x+−4(Distribute)
3x+24=2x+−4
3x+24=2x−4
Then subtract 2x from each side
Once then you have X substitute that number with X and you should get your answer.
So do 3(-26+8) and then 2(-26)-4 which then
3(-26+8)=
2(-26)-4 =
Translate this into an equation
Seven times the sum of a number and 9 equals 8.
Answer:
7(9+n)=8
Step-by-step explanation:
I hope this is right :)))
Can someone help me with this question.
Answer: the bottom is A then C
Step-by-step explanation:
. If x = -4 and y = 2x – 1, then y equals what number?
Answer: y = -8x - 1
Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1
(please mark as brainliest) :D
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]
[tex]\large\textsf{y = 2(-4) - 1}[/tex]
[tex]\large\textsf{2(-4) = \bf -8}[/tex]
[tex]\large\textsf{-8 - 1}[/tex]
[tex]\large\textsf{= \bf -9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?
Answer:
Following are the responses to the give question:
Step-by-step explanation:
The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].
Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]
Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height
[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]
solve by system of equations by substitution and show work plz and thank you y=2x+3 y=-x-9
Answer:
X=-4, y=-5
Step-by-step explanation:
Y=2X+3
y=-x-9
substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:
-x-9=2x+3
-x-9+9=2x+3+9
-x=2x+12
-3x=12
x=-4
solve for y by inserting x value (2) into either equation
y=2x+3
y=2(-4)+3
y=-8+3
y=-5
check answer by inserting x and y into either equation to make sure they equal:
y=2x+3
-5=2(-4)+3
-5=-8+3
-5=-5
or
y=-x-9
-5=-(-4)-9
-5=-5
The point A (-3, 5) and the point B (0, -16) lie on the line L.
a) Find the slope
b) Find the y-intercept
c) Create the equation of the line L.
Can you help?
Step-by-step explanation:
Line is passing through the point A (-3, 5) and the point B (0, -16)
a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7
b) y - intercept (b) = - 16
c) Equation of line
y = mx + b
y = - 7x + (-16)
y = - 7x - 16
TRUE or FALSE? The sum \sqrt{16}+\sqrt{9} is a rational number.
ANSWER THIS WITHOUT A LINK
SOOOOOOOONNNN
Answer: n=8
Step-by-step explanation: add 2 each time for y
Answer:
Answer = 22
Step-by-step explanation:
Linear Function is 2x-6, therefore f(14)=2*14-6=22
So 2*8-6=10
2*9-6=12
2*11-6=16
write Two Most Active non Metals And Two Most Active Metals Among The Right Wing Elements In The Periodic Table?
Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.
Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.
The periodic table is composed of metals and nonmetals.
The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.
The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.
Learn more: https://brainly.com/question/25114219?
does anybody know the answer?
Answer:
y+25=120
y = 120-25
so y= 95
Answer:
y=95 is the required answer of your question
hope it is helpful to you
Geometry help please. Thank you!
Someone plzzz tell me this answer i am really stuck on this
Answer:
A
Step-by-step explanation:
Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by
which of the following is the solution to the equation x^2-10x+16=0?
1.{2,8}
2.{-4,4}
3.{-16,10}
4. {-8,-2}
Answer:
1.{2,8}
Step-by-step explanation:
that's my answer
Answer :
1. { 2, 8 }
x² - 10x + 16 = 0
x² - 2x - 8x + 16 = 0
x ( x - 2 ) - 8 ( x - 2 ) = 0
( x - 2 ) ( x - 8 ) = 0
x - 2 = 0
x = 2
x - 8 = 0
x = 8
Therefore,
the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.
Find x.
I need help please
Answer:
[tex] x = 4 \sqrt{3} [/tex]
Step-by-step explanation:
By geometric mean theorem and Pythagoras theorem:
[tex] {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} [/tex]