Answer:
eight point five one seven.
Step-by-step explanation:
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
https://brainly.com/question/11631534
find three consecutive number whose sum shall equal 45
Answer:
14, 15, 16
Step-by-step explanation:
n + n+1 + n + 2 = 45
3n + 3 = 45
3n = 42
n = 14
14, 15, 16
At a salad bar, the cost per ounce is
$
0.85
, and the container costs
$
0.25
. Which function represents the total cost of a salad weighing
w
ounces, and what is the total cost,
C
, of a salad weighing
8
ounces?
Answer:
0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525
Step-by-step explanation:
119/30
Simplified please help this is urgent
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).
The expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Give two integers A and B, according to the commutative law of addition;
A + B = B+ AThe arrangement of the integers does not affect the sum.Given the expression (-1+3i) + (18+5i)
The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:
(-1+3i) + (18+5i)
-1 + 3i + 18 + 5i
(-1 + 18) + (3i + 5i)
We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Learn more on commutative property here: https://brainly.com/question/778086
Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether.
A. Write a system of inequalities that represents how many pennies and nickels that Jada could have.
Answer:
5n+p>40
n+p<20
Step-by-step explanation:
Answer:
Answer below
Step-by-step explanation:
The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.
The system of inequalities that represents how many pennies and nickels that Jada could have is given as:
p + n < 20
0.01p + 0.05n > 0.40
Let's represent the number of :
pennies = p
nickels = n
It is important to also note that:
1 penny = $0.01
1 nickel = $0.05
40 cents can also be written as: $0.40
Jada has p pennies and n nickels that add up to more than 40 cents.
The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:
$0.01 x p + $0.05 x n > $0.40
0.01p + 0.05n > 0.40
She had fewer than 20 coins altogether.
The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:
p + n < 20
Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:
p + n < 200.01p + 0.05n > 0.40
Correct answer is p + n < 20 0.01p + 0.05n > 0.40
_____________________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
Write 23% as a fraction
Answer:
23/100
Step-by-step explanation:
Simplify -1-18
-
(18)
O - |18|
0-18
O 18
Answer:
simplify -1-18
Step-by-step explanation:
Subtract 18 from −1
− 19
The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to
rent a car from Barely Running is $20 a day. How many days would you have to rent the
car for the cost of both companies to be the same?
Answer:
Step-by-step explanation:
if z=3+i/3-i find the value of 1/z and z+1/z
Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursday evening she earned $25 babysitting her neighbor's children. On Friday she spent $42 on pizza for her friends. She earned $20 dollars on Saturday raking leaves. What is her bank account balance on Sunday? ?
Answer:
$8
Step-by-step explanation:
After the shoe purchase, her balance was $50 -45 = $5.
After depositing her babysitting earnings, her balance was $5+25 = $30.
After buying pizza, her balance was $30 -42 = -$12.
Assuming no overdraft charge, her balance after depositing her earnings was ...
-$12 +20 = $8
Sally's balance on Sunday was $8.
What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2?
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 1
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 = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 2 ) into the partial equation
- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1
y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line
Answer:
y=-1/2x-1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-2)
y+2=-1/2(x-2)
y=-1/2x+2/2-2
y=-1/2x+1-2
y=-1/2x-1
Which of the expressions below has a product that is greater
than 140? Select all that apply.
A) 11.5 x 12
B) 11.85 x 12
C) 15.2 x 9
D) 23.4 x 6
You can earn 5 coins
Type the correct answer in each box. Use numerals instead of words.
Step-by-step explanation:
A
let's bring everything on the right hand side back under the square root :
8² = 64
(x³)² = x⁶
so, we get
sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)
therefore, c = 7
B
similar to A let's bring everything on the right side under the cubic root :
4³ = 64
(x)³ = x³
cubic root(576x^d) = cubic root(64×9×x³×x²) =
= cubic root(576×x⁵)
therefore, d = 5
What is the domain and range?
Answer:
Domain: {-6, -2, -1, 1, 3, 6}
Range: {-6, -2, -1, 0, 3}
Step-by-step explanation:
to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.
for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}
to find the range of a function, it's just like domain but with y-values.
for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}
Y'all i need some help with this.
Answer:
Divide everything by 100.
Step-by-step explanation:
If you divide every number you want by 100, you get a decimal out of 100.
the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased
Answer:
The number of students would have increased by 25%.
Step-by-step explanation:
Answer:
25% more
Step-by-step explanation:
640 100
800 x
---------------
cross-multiplication = 100*800 = 80000/640 = 125
What is the result of 3 divided by three-fifths?
[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]
Answer:
5
Step-by-step explanation:
3 -> [tex]\frac{3}{1}[/tex]
Method is "Keep, Change, Flip"
[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Convert 34/8 to a decimal using long division
Answer: Using a calculator, if you typed in 34 divided by 8, you'd get 4.25. You could also express 34/8 as a mixed fraction: 4 2/8.
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
is using a cancalator duh
Which of the following sequences of transformations maps \triangle DEF onto \triangle ABC?
Answer:
D because then triangles DEF and ABC would mapped onto one another.
Step-by-step explanation:
d) Neither
Multiply the fractions and reduce to lowest terms: 3/4 x 1/3
Answer:
3/12 or 1/4
Step-by-step explanation:
Answer:
1/4 is the answer.
Step-by-step explanation:
3/4 x 1/3
=> 3/12
=> 1/4
Therefore, 1/4 is the answer.
Hoped this helped.
there is a proportional relationship between x and y. complete the table with the missing values
Answer:
I think you forgot to attach the table
Look at the model. Name three equivalent fractions for the part that is shaded
Answer:
1. 2/6
2. 1/3
3. 3/9
Step-by-step explanation:
I've learned this before
–A – 22 = –2A – 30
pls
Answer:
A= -8
Step-by-step explanation:
-A - 22=-2A-30
+2A +22
A = -8
Write a story that could represent this math problem. 70 points
Answer:
2/3+2/3+2/3+2/3+2/3
Step-by-step explanation:
A solution to the linear equation 6x+2y=-32 is. ( _ ,8)
Answer: -8
The ordered pair solution is ( -8, 8 )
=====================================================
To get that answer, we plug in y = 8 and solve for x.
6x+2y = -32
6x+2(8) = -32
6x+16 = -32
6x = -32-16
6x = -48
x = -48/6
x = -8
So that's how we end up with ( -8, 8 ). This point is on the line 6x+2y = -32.
3,080 feet = ____ miles. Answer as a proper fraction or as a whole or mixed number
In a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___
peak stage of the business cycle
trough stage of the business cycle
contraction stage of the business cycle
expansion stage of the business cycle
The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
The business cycle consists of the following stages which changes with time;
Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
Learn more about business cycle here: https://brainly.com/question/904465
simplify the radical 99
Step-by-step explanation:
The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.
plz help I'm bad at math
Answer:
then u suck at lif
Step-by-step explanation:
Get betta then yk
Have a good day bro cya)
