Answers
Answer:
≈ 6 seconds
Step-by-step explanation:
When it says about hitting the ground, it means it hits the t-axis.
That means we have to solve for t-intercepts to find the solution.
Finding t-intercept, let y = 0.
[tex] \displaystyle \large{0 = - 16 {t}^{2} + 96t + 3}[/tex]
Use the Quadratic Formula.
[tex] \displaystyle \large{t = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Substitute in a = -16, b = 96 and c = 3.
[tex] \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ {96}^{2} - 4( - 16)(3)} }{2( - 16)} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9216 + 192} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9408} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ [/tex]
Then simplify to simplest form.
[tex] \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ \displaystyle \large{t = \frac{ 12\pm 7\sqrt{3} }{ 4} } \\ [/tex]
Then use the highest value/root which is 12+7√3 over 4 then input it in a calculator and you will see that the highest root is close to 6.
We use the highest root because thats when y or height = 0 hence if height = 0 then the object finally hits the ground.
Related Questions
Find an equation of a line that passes through the points (-2,-4) and (2,-6)
Answers
Answer:
y = -2/4x -5
Step-by-step explanation:
Assuming that the answer will be in slope intercept form, and not standard form. It would go a little like this:
Finding the slope:
y2 - y1/x2 - x1
-6 - (-4) / 2 -(-2)
-6 + 4 / 2 + 2
-2/4
Simplifying further, the slope would be: -1/2
The slope would be -1/2.
Now, checking desmos, the equation would be: y = -2/4x -5.
Plz help show by step by step
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's Simply :
[tex] - 5 + {3}^{3} \times 4 - 2 + (8 - 3) \times 6 \div 2 + 3[/tex][tex] - 5 + 27 \times 4 - 2 + 5 \times 3 + 3[/tex][tex] - 5 + 108 - 2 + 15 + 3[/tex][tex]126 - 7[/tex][tex]119[/tex]Find the x-intercept and y-intercept of the line.
3x - 2y = 12
Answers
Answer: x-intercept: (4, 0) y-intercept: (0, -6)
Step-by-step explanation: Ask for explanation if you want it.
evaluate (4/3)³×(4/3)‐²×(1/3)
Answers
Answer:
256/243
Step-by-step explanation:
64/27 x 4/3 x 1/3
Help me please will give Brainliest
Answers
Answer:
c) 3ft= 1 yards
18/3 = 6 yards
12/3 = 4 yards
Perimeter- 6×2+4×2=20 yards
6×4=24yards²
d) I foot= 12 inches
18ft = 12×18= 216"
12ft =12×12= 144"
Perimeter- 216×2+144×2= 720 inches
216"×144"= 31,104 inches²
Median = 18+19/2
= 18.5
a. Which two lines are parallel?
b. Which line is perpendicular to Line A ?
Line A; y=3x +6 Line B: y =6-3x
Line C: y=17-x/3 Line D: y= 3x-1/3
Please I need help!!!!
Answers
Step-by-step explanation:
line A and D are parallel because they have the same koeficient 3=3
line C is perpendicular to line A because
k1*k2=-1
3*(-1/3)=-1
which is a true statement
Answer:
a) Line D is parallel to line A
b) Line C is perpendicular to line A
Step-by-step explanation:
Line A has a slope of 3 and y intercept of 6
Line C is perpendicular to A as perpendicular lines have negative reciprocal slopes. Slope of C is -1/3
Line D is parallel to A as parallel lines have identical slopes but different y intercepts. Slope of D is 3 and y intercept is -1/3
Line B mirrors Line A over the y axis. It's slope is the negative of A and it has an identical y intercept.
Solve for c. F+3/C = e
help
Answers
CF + 3 = Ce
Collect the like terms (the ones that contain C)
CF - Ce = -3
Factorise
C(F - e) = -3
C = -3/(F - e)
A better answer is C = 3/(e - F)
Subtract F from both sides
3/C = e - F
Divide by 3
1/C = (e - F)/3
Find reciprocal of both sides
C = 3/(e - F)
I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my
middle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. What
number am I?
Answers
Answer:
865Step-by-step explanation:
Let the 3-digit number is abc = 100a + 10b + c.
We have:
100a + 10b + c - 100c - 10b - a = 297b = a - 6a = 2c - 2Simplify the first equation:
99a - 99c = 297a - c = 3a = c + 3Solve for c by substitution:
2c - 2 = c + 32c - c = 3 + 2c = 5Find a:
a = 3 + 5 = 8Find b:
b = 8 - 2 = 6The number is:
865Factor the expression completely: x^4-81
Answers
Answer:
Step-by-step explanation:
Identity used: [tex]a^{2}-b^{2} = (a + b)(a -b)[/tex]
81 = 9*9 = 9²
a = x^2 and b =9
Then again 9 = 3*3.In this way, (x² - 9 ) can be again factored
[tex]x^{4} - 81 = (x^{2})^{2}-9^{2}\\\\=(x^{2} + 9)(x^{2} - 9)\\\\=(x^{2}+9) (x^{2} -3^{2})\\\\= (x^{2} + 9}(x+3)(x-3)[/tex]
Hello everyone, please help me on this second question (:
Answers
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answers
Answer:
x y
-2 -8
-1 -4
1 4
Solve for c
a (b - c) = d.
Answers
Answer: C = b-(d/a)
Step-by-step explanation:
Given, a(b-c) = d
or, b-c = d/a
or, -c =(d/a)-b
or, c = b-(d/a)
Find the value of x
(simplifi radicals if needed, or round to the nearest hundredth
Answers
Step-by-step explanation:
x²=72²+65²
x²=5184+4225
x²=9409
x=97.
hope this helps you.
Guys please help me ill give brainliest to the right answers
Which expression(s) are equivalent to |9 – x|?
Answers
Answer:
A and C would be your answer
Hope it helps!
4+g=14 answer please
Answers
Answer:
4+g=14
g=14-4
g=10
Step-by-step explanation:
please mark me as brainlest
We can view this as 4+?=14
The question is just asking for a number that you can add to make the given value
So that in this case would be 10
I hope this helped :)
I need help please with the work?
Answers
Answer with Step-by-step explanation:
m<A=m<J=20
In JOE,
80+20+m<O=180[Angles of a trinagle]
m<O=80=m<M
m<E=m<Y=80
1. Suppose C(x) is a function representing the cost(in dollars) of producing x units energy, and R(x) is a function representing the revenue (in dollars) of selling x units of energy. Suppose further that both functions are continuous for all x > = 0. A. Is there necessarily some x value, let's call it C, that will maximize profit over all x = 0? Explain your answer. B. Suppose we know we can't produce more than 1,000 units of energy. Is there necessarily some x-value, call it C, that will maximize profit over the interval [0,1000]? Explain your answer. C. Again, assume that we can't produce more than 1,000 units of energy. Is there necessarily some x value, let's call it C, for which the profit is exactly 0? Explain your answer.
Answers
Answer:
A. Yes, there is a value that will maximize the profit overall x values. This is true when the functions C(x), R(x), and P(x) are often defined only for non-negative integers, that is, for x = 0, 1, 2, 3... . The reason is it is not logical to speak about the cost of producing −1 cars or the revenue generated by selling 3.62 refrigerators. Thus, each function may give rise to a set of discrete points on a graph.
The formulas for these questions are:
C(x) = cost of producing x units of the product
R(x) = revenue generated by selling x units of the product
P(x) = R(x) − C(x) = the profit (or loss) generated by producing and (selling x units of the product.)
B. No, there is not an x-value that will maximize the profit over [0,1000]. This is true since 1,000 is the horizontal asymptote, which means that the line of the graph keeps traveling with the HA until the profits drop since we cannot produce anything more than 1,000 units of energy per day. The graph of this problem would be a horizontal asymptote at y = 1,000. The line of the graph would start at zero and increase until it reaches the asymptote at 1,000 and continues towards infinity.
C. Yes, there is an x-value that is exactly zero. This is true because zero is our starting point in our profits. The x and y value would be (0,0) as we have just begun to produce energy units. Once the graph starts to increase, we cannot have a point at exactly zero, unless the profits have a dramatic drop to the x value of 0. This would then be (0, at a number of diminishing returns)
Can someone help me it’s due!!sorry if it’s not bright!!!
Answers
Answer:
2:1
Step-by-step explanation:
to make the smaller triangle turn into the bigger triangle, each side has to be multiplied by a factor of 2. double the little triangle and you will get the bigger one
Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
Answers
Way: W = k * w * h^2/ L
4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
What is Weight?Gravitational force of attraction on an object, caused by the presence of a massive second object, such as the Earth or Moon.
Given,
Maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height.
beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons.
W = k × w × h²/ L
8 = k × 5 × 2² / 10
8 = k ×20/10
8 = 2 × k
k = 4
The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
w =4 ×6 ×2² / 24
= 24 ×4/ 24
W=4 tons
Hence 4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
To learn more on Weight click:
https://brainly.com/question/10069252
#SPJ2
I need help I have to get this done by tomorrow
Answers
Answer:
204768
Step-by-step explanation:
You just need to multiply 3762 with 54
Find the value of x in the isosceles triangle shown below.
Answers
Answer:
Step-by-step explanation:
ΔABD ≅ ΔACD {A S A congreunt}
∠ADB ≅ ∠ADC {CPCT}
∠ADB + ∠ADC = 180 {linear pair}
2∠ADB = 180
∠ADB = 180/2
∠ADB = 90
∠ADB = ∠ADC = 90.
So, now we can use Pythagorean theorem to find x
x² = 8² - 2²
= 64 - 4 = 60
x = √60
?????????????????? Please
Answers
Answer:
the answer is the third one
Step-by-step explanation:
True or False?
When you add a negative number to both sides of an inequality, you have to flip the inequality sign.
Answers
Answer:
it's TRUE
Step-by-step explanation:
because when you add a negative number at both sides of an inequality and then u will flip the inequality sign
Answer:
True
Step-by-step explanation:
The waiting time to ride a roller coaster is 20 minutes one 150 people in line. How long is the waiting time when 1200 people are in line.
Answers
160
how i got this:
20 = 150
/(divide) 150
0.13(recurring) = 1
x1200
160 = 1200
if you need me to explain anything in detail, please feel free to message! have a nice day:)<3
What is 18% of 5? HELPPP
Answers
What is the solution for this set of equation (2r-3)-4=37
Answers
Answer:
(2r-3)-4=37
or,(2r-3)=37+4
or,2r-3=41
or,2r=41+3
or,2r=44
or, r= 44/2
hence , r= 22
In a triangle XYZ, x = 24 cm, y = 19 cm and YXZ = 62o. The magnitude of XYZ..
Answers
Answer:
Step-by-step explanation:
using sine formula
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c} \\\frac{sin \angle XYZ}{19} =\frac{sin 62}{24} \\sin \angle XYZ=\frac{19}{24} \times sin 62\\\angle ~XYZ=sin^{-1}(\frac{19}{24} \times ~sin~62) \approx 44.35^\circ[/tex]
149
2.89
10. A jar of olive oil is priced at $15.18 for 6.6 ounces. What is the price of one ounce of olive
oil?
Answers
Answer:
$2.30
Step-by-step explanation:
Price- $15.18
Ounces- 6.6
$15.18 ÷ 6.6
=$2.30
Help with my math homework due next week quick please
Answers
a) [tex]-4\geq x\geq -1[/tex]
x <= -4 and x >= -1
b) [tex]2<x\leq 4[/tex]
x > 2 and x <= 4
c) [tex]3 > x > 9[/tex]
x < 3 and x > 9
d) [tex]-5 \leq x < 0[/tex]
x >= -5 and x < 0
Hope this helps!
An item has a listed price of $70. If the sales tax rate is 3%, how much is the sales tax (in dollars)?
Answers
3% of 70 means "0.03 x 70" which is 2.1.
The sales tax is $2.10.