If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?
Answer:
the number of seconds to reach the height is 3 seconds
Step-by-step explanation:
The computation of the seconds that reach the height is as follows;
Given that
h = -16t^2 + 96t + 48
here
H = 192 feet
So,
192 = -16t^2 + 96t + 48
-16t^2 + 96t - 144 = 0
Divide by -16
t^2 - 6t + 9 = 0
t^2 - 3t - 3t + 9
t(t - 3) - 3(t - 3)
t = 3 seconds
Hence, the number of seconds to reach the height is 3 seconds
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Mathematical expression:
A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.
Here we have
Gavin is saving up to buy a new phone.
He already has $100 and can save an additional $7 per week using money from his after-school job
Let us assume that he worked for 'w' weeks
The amount earned for 'w' weeks = 100 + 7w
Hence, the required expression is 100 + 7w
The total amount saved in 10 weeks = 100 + 7(10) = $ 170
Therefore,
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Learn more about Expression at
https://brainly.com/question/21394250
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write an equation in slope-intercept form for this line.
Answer:
y = - 8x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 8, then
y = - 8x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y = - 8x - 4 ← equation of line
Write an inequality for the graph. pls help
The ratio of the measures of the three angles of a triangle is 4:5:9. Find the measure of the largest angle of the triangle.
Answer:
[tex]90^{\circ}[/tex]
Step-by-step explanation:
The interior angles of all triangles sum up to [tex]180^{\circ}[/tex]. Therefore, we can write the following equation:
[tex]4x+5x+9x=180[/tex], where [tex]x[/tex] is some constant.
Combining like terms, we have [tex]18x=180,\: x=10[/tex].
Therefore, the angles of this triangle are [tex]4(10)=40^{\circ}, \: 5(10)=50^{\circ}, \: 9(10)=90^{\circ}[/tex], the largest of them being [tex]\fbox{$90^{\circ}$}[/tex].
pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7
Step-by-step explanation:
(x + 8) / (5x - 1) > 0
Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.
(x ≠ 1/5)
=> (x + 8)(5x - 1) > 0
=> x < -8 or x > 1/5.
The answer is the 2nd option.
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help
ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
12y - 4 what is answer
Answer: 4(3y−1)
Step-by-step explanation:
Answer:
4(3y - 1)
Step-by-step explanation:
To factor this find the greatest common factor of 12y and -4, which would just be 4.
Then, you have 4(3y - 1)
URGENT PLEASE HELP!!!!!!!!!!!!!!
Answer: The pics wont lode
Step-by-step explanation:
a dolphin swam 12 miles in 4 hours. what was its average speed in miles per hour (mph) ?
PLEASE HELPPPP
Answer: The dolphin's average speed is 3 mph
Step-by-step explanation: The basic equation is Speed = Distance ÷ Time
S = d/t
To find miles per hour, divide the distance in miles by the time in hours.
Speed = 12 miles/4 hours . 12÷4 = 3
Speed = 3 mph
1,100÷22. I know the answer but I am kinda struggling on how that is possible I checked it on paper but I got the wrong answer every time so could you please explain it to me.
Answer:
50 is the answer to this question
Answer:
50
Step-by-step explanation:
Well, you're having trouble with how it's supposed to be 50 right? So I suggest breaking it down a little bit.
As you see:
1100 ÷ 22
1100 and 22 are both divisible by 2 so if we divide both numbers by 2 you get:
550 ÷ 11
now try solving from there!!
If you still don't get it here:
firstly 11 goes into 5 zero times so put nothing
next does 11 go into 55? Yes! it does so how many times does it go into 55?
well let's see: 11 + 11 + 11 + 11 + 11 = 55
now if we count how many 11s there are there is 5! so then you put:
5_
now lets see the next number is 0 and does 11 go into 0? Nope! so we just put:
50 and that is your answer!!
What is the coefficient in the inequality 3x=10?
763 ÷ 6=
use any method to solve
Answer:
127.1666
Step-by-step explanation:
It is a recurring decimal
Help if you know the answer it due ASAP
Answer: ∠2 and ∠7
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.
Hope I helped!
Multiply (3+b) × (4+2b)
(3+b)*(4+2b)=3*4+3*2b+b*4+b*2b=
=12+6b+4b+2b^2=12+10b+2b^2=2(6+5b+b^2)=
=2(b^2+5b+6)
7.7 is what percent of 8? Round to the nearest tenth.
Answer:
96.25 unrounded 96.3 rounded
Step-by-step explanation:
Answer:96.3
Step-by-step explanation:7.7/8=.9625 then times that by 100 and get 96.25 but round the 2 since the 5 is behind it and telling it to go up so you get 96.3
A macaroni and cheese dish had 250 g of macaroni and 45 g of cheese.
What percent of the dish was cheese?
Answer:
15.25%
Step-by-step explanation:
total 45+250= 295
so percentage (45/295)×100
= 15.25%
Please help 50 points if you can answer correctly
Answer:
A. -14. R.72. C.1. D.34
Step-by-step explanation:
I think that right
(5, -7)
(10, 5)
2
5+
Answer:
Whats the Question
Step-by-step explanation:
This doesn't make sense
Really hard question!!!!!!!!!!!!!!!!!!!!!!!!! what is 6+7 plssss
Answer:
13 ig
Step-by-step explanation:
Answer:
its 13. 6 7 8 9 10 11 12 13. ............
FIND THE VALUE OF X.
GIVEN ABCDEF~JKLMNP.
simplify (18+t)(-3)+9
Answer:
-3t-45
Step-by-step explanation:
(18+t)(-3)+9
18x-3-3t+9
-54-3t+9
-3t-54+9
-3t-45
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.
Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?
Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020
Please help me 123 or 4
Answer:
3
Step-by-step explanation:
because divide Pt from both sides to get r=i/(pt)
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
please help me on this will give you brainliest
Answer:
876
Step-by-step explanation:
since i helped can i have brainlist please :D
Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-4x-3)-(7x-3) =22 Equation
Step 2
(-4x-3)-(7x-3) =22 Simplify
-11x=22
Step 3
-11x=22 Divide
Answer
x=-2
Now we have to,
→ find the required value of x.
Then the value of x is,
→ (-4x - 3) - (7x - 3) = 22
→ -4x - 3 - 7x + 3 = 22
→ -11x + 0 = 22
→ x = -22/11
→ [ x = -2 ]
Thus, the value of x is -2.
Anthony and Jesus decide that they want to buy a Playstation 5 together. They each have $225. Ray has a Gamestop coupon that gives him 10% off his order, so they decide to go to Gamestop. The price of the Playstation is $499.00. If tax is 7%, will they be able to buy the console? If not, how much money will they have to borrow from their parents?
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
What is the area of major sector DFE?
Answer:
B
Step-by-step explanation: