Answer:
5
Step-by-step explanation:
At the Atlanta United game, a ball flew into the stands. A fan launches the ball at 19.6 feet per second (ft/s) from a 60 ft tall bleacher. The equation for the soccer ball's height, s, at time, t, seconds after the launch is s(t) = −4.9t2 + 19.6t +60. When does the ball hit the ground?
Answer:
6.03s
Step-by-step explanation:
Given the equation for the soccer ball's height, s, at time, t, seconds after the launch expressed as
s(t) = −4.9t2 + 19.6t +60
The ball hits the ground when s(t) = 0
Substitute s(t) = 0 into the expression
0= −4.9t2 + 19.6t +60
Multiply through by -10
0 = 49t²-196t-600
49t²-196t-600 = 0
Factorize
t = 196±√196²+4(600)(49)/2(49)
t = 196±√38416+117600/98
t = 196±√156016/98
t =196±394.99/98
t = 196+394.99/98
t = 590.99/98
t = 6.03secs
Hence the ball bit the ground after 6.03seconds later
Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as $0.50 for each ride, r. The expression 0.50r + 20 represents this situation. Evaluate this expression when r = 15. Explain what this value means in terms of the context of Stephanie's visit to the amusement park.
Answer:
Step-by-step explanation:
0.50(15)+20=x
7.50+20=x
27.5=x
Therefore, x means how much the visit to the amusement park will cost her.
PLEASE HELP ME!!!!!!!!!!!!!!!
You received a $150 gift certificate to a clothing store. The store sells T-shirts for $17 and dress shirts for $26. You want to spend no more than the amount of the gift certificate. You want to leave at most $8 of the gift certificate unspent. You need at least dress . What are all of the possible combinations of T-shirts and dress shirts you could buy?
seclect all that apply
A: 4 t-shirts and 3 dress shirts
B: 1 t-shirt and 5 dress shirts
C: 5 t-shirts and 2 dress shirts
D 2 t-shirts and 4 dress shirts
Answer:
d I think
Step-by-step explanation:
blablablablabal
I need help with the range
Answer:
[-9, 0]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -9 and the line's highest point is 0. The values are defined (no open circle at the highest point) so we use brackets.
500kg÷60 cm³
Answer =
Answer:
Has something wrong with this question. Kg (Kilogram) is the weight value. And [tex]cm^{3}[/tex] (centimeter square 3) is length or distance value. We can't divide kg with [tex]Cm^{3}[/tex].
Step-by-step explanation:
A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for height as a function of time is
h(t) = -16t^2 + initial height where t is time in seconds and h(t) is height in feet, how
many seconds will it take for the camera to hit the ground?
[?] seconds
9514 1404 393
Answer:
16 seconds
Step-by-step explanation:
You want to find t such that h(t) = 0
h(t) = -16t^2 +4096 . . . equation for height
0 = -16t^2 +4096 . . . . .equation for height = 0
16t^2 = 4096 . . . . add 16t^2
t^2 = 256 . . . . . . . divide by 16
t = 16 . . . . . . . . . . . take the positive square root
It will take 16 seconds for the camera to hit the ground.
Answer: the answer is 16
Step-by-step explanation:
Just did it on acellus
How many solutions exist for the given equation?
3(x + 10) + 6 = 3x + 12)
zero
one
two
infinitely many
Answer:
theres no solution
Step-by-step explanation:
3x+36=3x+12 is not mathmatically correct no matter what x is
Which function is increasing at the highest rate?
Answer:
D
-6y= -12x-24
/6 /6
change to slope intercept form: y=2x+4
slope is 2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!
Solve For: 5x + 2 = 4x − 9
Answer:
Step-by-step explanation:
5x+2=4x-9 -4x from both sides
x+2=-9 take 2 from both sides
x= -11
Answer:
x = -11
Step-by-step explanation:
5x + 2 = 4x - 9
5x = 4x - 11
x = -11
Solve: -9/10 + p = 1/5
Answer:
p=11/10
Step-by-step explanation:
Answer:
p=-55
Step-by-step explanation:
Do I add all the cost up then divide by four?
Answer:
Yeh that's what you have to do.....
Divide the total amount by four
Answer:
yes
Step-by-step explanation:
What's the recursive rule for this sequence? 75, 100, 125, 156,
Answer:
The recursive rule for the sequence is a[tex]_{1}[/tex] = 75; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + 25
Step-by-step explanation:
the recursive rule of an arithmetic function is a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex]= a[tex]_{n-1}[/tex] + d, where
a[tex]_{1}[/tex] is the first terma[tex]_{n-1}[/tex] is the nth termd is the common difference between each 2 consecutive terms∵ The given is 75, 100, 125, 150, .......
∵ 100 - 75 = 25
∵ 125 - 100 = 25
∵ 150 - 125 = 25
∴ The common difference is 25
∴ d = 25
∵ The first term is 75
∴ a[tex]_{1}[/tex] = 75
→ Substutute the values of a1 and d in the formula above
∴ The recursive rule for the sequence is a[tex]_{1}[/tex] = 75; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + 25
interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77
Answer: 9
Step-by-step explanation:
Population size=7
Lower quartile=71
Upper quartile=80
67 Is or es el 67
Jajaja
someone help simplify it
Answer:
a+11b/3
Step-by-step explanation:
Answer:
3 and 2/3b + 1a
Step-by-step explanation:
Simplifying b:
4b - 1/3b = 11/3b = 3 and 2/3b
Simplifying a:
-5a + 6a = 1a
Can someone help me with geometry??
Answer:
B
Step-by-step explanation:
Solve the equation formed when f(x) = g(x).
f (x) = 1/2x + 3
g(x) = 5/2x - 1
A. x = 2
B. x = -3
C. x = 1
D. x = -2
Answer:
x=2
Step-by-step explanation:
1/2x+3=5/2x-1
1/2-5/2x=-1-3
-4/2x=-4
-2x=-4
x=-4/-2
x=2
PLEASE ANSWER ASAP!!!!!!!Calculate the quotient below and give your answer in scientific notation.
0.00065
5 x 10-2
?
Answer:
Step-by-step explanation:
0.00065 ÷5*10^-2
0.00065 ÷ 0.05= 0.013
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
https://brainly.com/question/19491153
Write the equation of the table below.
y - 5 = -2(x - 6)
y - 5 = -2(x - 6)
y - 5 = 2(x - 6)
y - 5 = 2(x - 6)
y - 6 = 2(x - 5)
y - 6 = 2(x - 5)
y - 6 = -2(x - 5)
Answer:
equation: y = 2x - 7
Step-by-step explanation:
Let equation be y = mx + c
m = (1-(-1))/(4-3) = 2
sub (4, 1):
1 = 2(4) + c
c = -7
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
What is the answer for this math question?
Answer:
Gn=A1 r(n/3)
Step-by-step explanation:
well since u just divide by three I think the answer is divide by 3.
Hope this helps Happy Thanksgiving :D
Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay any back, how many years will it take for them to owe you $2,000? Round your answer to the nearest hundredth (2 places after the decimal).
Step-by-step explanation:
For them to owe you a total of$2000 then an interest of $2000-320=$1680 must have accrued over the time T
T=$1680×100/320×11
T=47.7272...≈47.73 to the nearest hundredth
Proof,
Interest after 47.7262...years which is converted to 525/11 years
=($320×11×525/11)/100
=$1680
therefore total amount which will be owed at that time =principal+interest accrued
=$320+1680=$2000
Let a = ⟨5, –9⟩ and b = ⟨–3, 1⟩, and c = b – a. What is the magnitude and direction angle of c?
|c| = 12.8; θ = 128.7°
|c| = 18.0; θ = 128.7°
|c| = 12.8; θ = 308.7°
|c| = 18.0; θ = 308.7°
Answer:
A
Step-by-step explanation:
The magnitude and direction angle of c is 12.8 and 128.7° respectively.
What is the magnitude and direction of a point vector?"A vector contains two types of information: a magnitude and a direction. The magnitude is the length of the vector while the direction tells us which way the vector points.
Vector direction can be given in various forms, but is most commonly denoted in degrees. Acceleration and velocity are examples of vectors."
Given: a = (5, –9) and b = (–3, 1) and c = b – a.
Therefore, c = (5+3, -9-1) = (8, -10)
Now, magnitude of c is [tex]\sqrt{8^{2}+(-10)^{2}}[/tex] = 12.8
The direction of c is Ф = tan⁻¹(-10/8) = -51.3°
Therefore, the direction of c is 180° - 51.3° = 128.7° (tanФ = tan(π+Ф))
Learn more about magnitude and direction of a point here: https://brainly.com/question/11864438
#SPJ2
Which equation represents the line that passes through the points (-1,6) and (1,2)?
Answer:
y=-2x+4
Step-by-step explanation:
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
HELP ASAP WILL GIVE BRAINLIEST TO CORRECT FULL ANSWER
Answer:
15 Soft Tissues
Step-by-step explanation:
24 soft tissues ÷ £7.57 = £3.17 per tissue
20 soft tissues ÷ £6.60 = £3.03 per tissue
15 soft tissues ÷ £5.24 = £2.86 per tissue
Hence 15 soft tissues has the best value.
Could anyone explain please?
Answer: linear function is 25x + 20
After 8 weeks he has saved 25(8)+20 which is 200, so he saved $200 after 8 weeks.
Step-by-step explanation:
Ok so we say 25x because x is any amount of weeks he has saved for and because he had a head start of $20, we add 20 when calculating after any amount of weeks( because even if we know he saved 25x after x weeks we have to add the 20 dollars he also started with)
I hope this helps:)
Answer:
a. 20 + 25x
where x is the no. of weeks
b. The amount saved after 8 weeks = 20 + 25 (8)
= 20 + 200
= 220
Therefore, $220 will be saved after 8 weeks.
9 over n = 3over 4 solve for n
Answer:
Step-by-step explanation:
9/n = 3/4 Cross Multiply
3n = 36 Divide by 3
n = 36/3
n = 12
You're given three angle measurements of 30°, 70°, and 80°. How many triangles can you construct using these measurements?
А О
B. 1
с 2 .
D. infinitely many
Answer:
I think b
bye have a great day
A spider ate 25\%25%25, percent more bugs this month than last month. The spider ate 888 bugs last month.
Answer:
1110
Step-by-step explanation:
888*(1+25%)
=1110
PLS GIVE BRAINLEST
Answer:10
Step-by-step explanation:
The power, P (watts), of a car engine is proportional to the square of its speed, s(m/s) When s= 30 P= 1500 Work out the speed (to 1 DP) when the power is 1715 watts
Answer:
S = 32.1 m/s
Step-by-step explanation:
P = 1,500
S = 30
since P is proportional to S², then we must first determine S² = 900
900 / 1,500 = S² / 1,715
(900 x 1,715) / 1,500 = S²
1,543,500 / 1,500 = S²
S² = 1,029
S = √1,029 = 32.08 m/s ≈ 32.1 m/s