The time in seconds that the balloons collided at the highest point is; B: 2.0 seconds
What are quadratic equations?We are told that the water balloons were modeled by the quadratic functions:
y = -7x² + 26x + 6 and y = -6x² + 25x + 4
where;
y = the height in meters
x = the time in seconds after the launch
The time at which they will collide has to be at the same height.
Thus;
-7x² + 26x + 6 = -6x² + 25x + 4
Rearranging this gives;
x² - x - 2 = 0
Using online quadratic equation solver gives us x = 2 or -1. We will take the positive one as x = 2.0 seconds
Read more about quadratic equations at; https://brainly.com/question/1214333
Answer:
the answer is 2.0 seconds
Step-by-step explanation:
I just took the test:)
MODELING WITH MATHEMATICS The Uniform
Federal Accessibility Standards specify that a
wheelchair ramp may not have an incline greater
than 4.76°. You want to build a ramp with a vertical
rise of 8 inches. You want to minimize the horizontal
distance taken up by the ramp. Draw a diagram
showing the approximate dimensions of your ramp.
The length of the ramp is 96.5
SOH CAH TOA identityGiven the following parameters from the question
The vertical rise of the ramp = 8 inches
The angle of elevation = 4.76°.
Required
length of the ramp
Using the SOH CAH TOA identity;
tan theta = opp/hyp
sin4.76 = 8/H
H = 8/sin4.76
H = 8/0.0829
H = 96.5
Hence the length of the ramp is 96.5
Learn more on SOH CAH TOA here; https://brainly.com/question/20734777
in a survey of 200 workers, 130 drink coca-cola and 100 drink fanta. how many workers drink at least one of coca-cola and fanta.
The number of workers that drink at least one of coca-cola and fanta is = 30.
Calculation using Venn diagramThe total number of workers under survey = 200
The number of workers that drink only coca cola = 130 - X
The number of workers that drink fanta = 100 - X
The number of workers that drank at least one drink = X
To calculate for x;
130 - X + X + 100 - X = 200
Being like terms together,
-X = 200 - 130 -100
-X = 200 - 230
-X = - 30
X = 30
Therefore, the number of workers that drink at least one of coca-cola and fanta is = 30
Learn more about Venn diagram here:
https://brainly.com/question/9384416
Use intercepts to graph the linear equation -2x+6y=18 .
O S= 17
O S= 272
O S= 4
O S= 79
Help pleaseee
Answer: 17
Step-by-step explanation:
B/c corresponding parts of congruent figures are congruent,
4s = 68
s = 17
Answer:
17
Step-by-step explanation:
C = R
4s = 68
[tex]s = \frac{68}{4} [/tex]
s = 17
What’s the correct answer for this question?
Answer:
1. 6 pounds and 0 ounces
2. 344 minutes
3. 5.25 gallons
4. 504 hours
Step-by-step explanation:
1. 1 pound is equal to 16 ounces so you will divide 96 by 16 and you should get 6.
2. There are 60 minutes in a hour so you will multiply 5 by 60 to get 300 and 44 to 300 to get 344 minutes.
3. There are 16 cups in a gallon so you will divide 84 by 16 to get 5.25.
4. There are 24 hours in and 21 days in 3 weeks so you will multiply 24 times 21 and you will get 504.
Hope this helps!
tell me the answer pls I'll give brainliest
Answer:
Reflection across y
Step-by-step explanation:
Y is the line up and down. Each shape is a reflection of each other across this line.
if v varies directly as w and v=8, when w=1/2, find the equation that relates v and w
Answer:
v=16w
Step-by-step explanation:
v=16w
8=16(1/2)
8=8✔
Leandro has a piece of fabric that is 56 centimeters long and 6 centimeters wide. He cuts it into pieces that are 8 centimeters long and 2 centimeters wide
Answer:
so therefore the final answer will be 16
If $12,000 is invested at 4.5% for 20 years, find the future value if the
Interest is compounded…
Annually 3a)28,940.57
Semiannually 3b)
Quarterly 3c)_________
Monthly 3d)29,456.60
Continuously 3e)_________
Choose Yes or No to tell if the fraction 5 8 will make each equation true. 8 15 − □ = 3 7 Choose... □ − 5 16 = 5 8 Choose... 7 8 − 1 2 = □ Choose... 3 4 − 1 8 = □ Choose...
Answer:
no no no yes
Step-by-step explanation:
i got it on my test and i was correct
Solve y^2= 49 , where y is a real number
Simplify your answer as much as possible
[tex] {y}^{2} = 49[/tex]
Move the square to the right-hand side and convert it to underoot
[tex]y = \sqrt{49} [/tex]
Calculate the root of 49
[tex]y = 7 \:or -7[/tex]
Answer:
y = +7 or -7
Step-by-step explanation:
y^2 = 49
square rooting both sides
y = √49
y = +7 or -7
If the circumference of a circle is 43.4 cm,
then what is the diameter? Use 3.1 for n.
Answer:
the diameter is 14cm
Step-by-step explanation:
to get the circumference of a circle you would need to times the diameter (d) by pi or in this case n which is 3.1
this result is 43.4cm
now to figure out the diameter we would have to reverse this so the equation would be
d=43.4/n
which is the same as d= 43.4/3.1
the result of this is d= 14
so the diameter is 14cm.
deserving of brainliest?
Someone help me pls.
Answer:
Large bottle
Step-by-step explanation:
£1.92-£1.26
£0.66
I don’t get this can someone pls help:
LCM of 28 and 8??
Answer:
LCM= 56
Step-by-step explanation:
Multiplies of 8- 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiplies of 28- 28, 56, 84, 112
Then, you look at the numbers that are the same in both. In some cases, there will be more than one that shows up (but not in this case) and all you have to do is find the least common multiple or LCM.
How many ways can a committee of 5 be selected from a club with 10 members?
Answer:
252
Step-by-step explanation:
I'm assuming the people are different, so it should be 10 choose 5, or 10!/(5!)(10-5)!, which leads to 3628800/14400, or 252.
RECRUITING Emily gets paid to recruit people to join an email list at work. If she signs up 5 friends and they all sign up 5 more friends, the function y = 5x represents the number of people on the email list after so many cycles. Select all the key features that apply to y = 5x.
The number of people on the email list after so many cycles is given by y = 5x.
Linear equationA linear equation is in the form
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the number of people on the email list after x cycles. Hence, it is given by:
y = 5x
The number of people on the email list after so many cycles is given by y = 5x.
Find out more on Linear equation at: https://brainly.com/question/13763238
CAN SOMEONE HELP ME WITH THIS?? ILL GIVE YOU BRAINLIEST
Answer:
24 units
Step-by-step explanation:
Note that BC is one side of the square. (Vertices are in order ABCD)
So, as a square has four equal sides, the perimeter is 4 times the length of BC.
We're given B is at (-2, 5) and C is at (4, 5). So, BC = 6 units.
So, the perimeter of ABCD is 6 * 4 = 24 units.
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to 17 years, given the household’s annual income, x.
Approximately how much would it cost to raise a child from birth to 17 years in a household with an annual income of $64,000?
A )$209,619
B )$186,302
C $164,219
d) $99,200
Answer:
A) $209,619
Step-by-step explanation:
y = 1.55x + 110,419
y = 1.55(64,000) + 110,419
y = 99,200 + 110,419
y = 209,619
Answer:
A) $209,619y = 1.55x + 110,419
y = 1.55 (64,000) + 110,419
y = 99,220 + 110,419
y = 209,619
Step-by-step explanation:
The answer is letter A.T minutes ,N people with the formula = t= 5n^2 +15
a)When there is four people what's the minutes
b) when the time is 2hours 20mins how many people
Answer:
a) n = 4 , t = ?
[tex]t = 5 {n}^{2} + 15 \\ \\ t = 5 {(4)}^{2} + 15 \\ \\ t = 5(16) + 15 \\ \\ t = 80 + 15 \\ \\ t = 95 \: min[/tex]
__o__o__
b) n = ? ,
t = 2hours 20mins ––> t = (2× 60) mins + 20 mins
t = 120 + 20 = 140 mins
so; time in the mins = 140 mins
[tex]t = 5 {n}^{2} + 15 \\ \\ 140 = 5 {n}^{2} + 15 \\ \\ 5 {n}^{2} = 140 - 15 \\ \\ 5 {n}^{2} = 125 \\ \\ {n}^{2} = \frac{125}{5} \\ \\ {n}^{2} = 25 \\ \\ n = 5[/tex]
so ; five people in 2hours 20mins
Pls help!! I need help
Answer:
Step-by-step explanation:
I'm going to guess that the question is "How do you represent the distance between the left and right sides?"
The red dots are closed which means that the end points are included.
5 ≤ x ≤ 8
The length is 8 - 5 = 3
Can someone tell me the ans pls
Answer:
2 : 5
7
56/7 = 8
8x2= 16
8x5=40
40 + 16 = 56
Basel get $40.00
The area of the triangle is 2/25 and the height is 1/5ft, what is the length of the base?
Hey can anyone help me find the missing side lengths please and thank you
Answer:
choice a
Step-by-step explanation:
angle 45 means, its a isosceles triangle.
so y = √3
x^2 = 3+3= 6
x = √6
S.p=208rs, profit percentage=4%. Find c.p
Given :
Selling price is Rs 208 .Profit percentage is 4% .To Find :
The cost price .Solution :
Let us suppose ,
→ CP = Rs x
Therefore the profit will be ,
→ Profit = SP - CP
→ Profit = 208 - x
Now we know that ,
→ Profit% = profit/CP * 100
Substituting the respective values ,
→ 4 = (208-x)/x * 100
→ 4 * x = (208- x)*100
→ 4x = 20800 - 100x
→ 100x + 4x = 20800
→ 104x = 20800
→ x = 20800/104
→ x = 200
Hence the cost price is Rs 200.
I hope this helps.
Refer to the attachment!
Substitute this simultaneous linear equation
[tex]2x + 2y = 14 \\ 5x - 2y = 14[/tex]
Answer:
[tex]2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2) [/tex]
From equation (1) ;
[tex]2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = \frac{14 - 2x}{2} \\ \\ y = 7 - x[/tex]
Substitute in equation (2)
[tex]5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = \frac{28}{7} \\ \\ x = 4[/tex]
[tex]y = 7 - x \\ y = 7 - 4 \\ \\ y = 3[/tex]
A sociologist sat married couples down in her office and asked some survey questions for her statistical study on marriage. The first married couple was Bonnie and Clyde. Bonnie sat down next to her husband while the sociologist sat across the table from them both. The sociologist asked each the question, if you could return to the past, would you marry your spouse all over again?" This was continued for several other married couples. This is not a good way to conduct this survey and most likely will not give representative results of all married couples. Why not?
Answer:
Step-by-step explanation:
I am married. I can tell you, I'd never give any answer but yes, no matter how I felt about her at the time.
Why hurt her feelings?Why lock her answer in? As soon as she hears my answer, she knows what her answer needs to be. Or she's pressured into giving that answerBecause the answer is so likely to be the same way, how would this question pick up on the couples that despise each other?I can’t figure this out
Which graph represents the solution to the compound inequality?
-2x + 4 = 8 and -2x + 4 >-6
Answer:
The top one!
Step-by-step explanation:
From this picture that I sent, you can see that the red line would be solid because it is less than or greater than, which the blue one isn't solid because it is just greater than. I felt like it would've been easier to explain it with an image than with words.
The equation c= 25+200 can be used to find c
Answer:
225
Step-by-step explanation:
What are 3 ratio equivalent to 5/15
Answer:
1 : 3, 3 : 9, and 6 : 18
Step-by-step explanation:
Slope Intercept Form Calculator: Greater Than
Percentage Difference Calculator: Buoyancy C
Inch To Centimeter Calculator: Surface Area Of
Chemical Calculator: Error Function Calculation
Answer:
1 : 3, 2 : 6, and 3 : 9
Step-by-step explanation:
In the fraction 5/15, 5 is equivalent to one-third of 15. That means we need ratios with the second number being 3 times greater than the first. For example, 3 is 3 times greater than one, 6 is 3 times greater than 2, and 9 is 3 times greater than 3.