A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answers
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
Related Questions
Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.
Answers
The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.
Flat costs and Variable costThe total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.
Total cost = flat cost + variable cost
Determination of the equation required to solve for the gigabytes neededThe flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.
$43.60 = $37 + $3x
The gigabytes neededIn order to determine the value of x, combine similar terms together
$43.60 - $37 = $3x
6.6 = $3x
Divide both sides by 3
6.6/3 = x
x = 2.2 gigabytes
To learn more about flat costs, please check: https://brainly.com/question/25879561
How to simplify a fraction with an exponent?
Answers
Answer:
Here you go
Step-by-step explanation:
it's all in the screenshot
a transversal shown below.
True
or
False
Answers
Answer:
true
Step-by-step explanation:
because i just finished doing this in geometry
Use a number line to add or subtract.
3−(-1)=
Answers
Answer:
4
Step-by-step explanation:
rule 1 positive + positive= positive
rule 2 negative plus negative = negative
please help! thanks!
Answers
2(3) - 3(2) = 0
2(3) + 2 = 8
HELPP LIKE ILL GIVE 25 PTS!
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Domain of f(x) ~
[tex] - 6 \leqslant x \leqslant - 1[/tex]
Range of f(x) ~
[tex] - 5 \leqslant x \leqslant - 3[/tex]
Domain of f(x): -6 ≤ x ≤ -1
Range of f(x): -5 ≤ x ≤ -3
Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12
A) 6+3x < 12
B) 6-3x < 12
C)12<6+3x
D) 12 < 6-3x
***All of them have a line underneath the <****
Answers
Answer:
Step-by-step explanation
c
+3 - (+7)
Can someone help pls!?
Answers
Answer:
Step-by-step explanation:
+3 - (+ 7) = 3 + (-7) = -4
Both integers have different sign. So, subtract and the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)
can someone please help me please
Answers
Answer:
Letter b
Step-by-step explanation:
because it is
A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?
Answers
Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a
Answers
Answer:
d.
took the test
Step-by-step explanation
1A. Tính:
a) ( -14) + 5 + 17 + 14 b) 40 +13 + ( -25) + ( -13)
c) ( -5) + ( -146)+ ( -15) + 14 d) ( -2) + (-5) + 20 + (- 13)
Answers
Answer:
7868
Step-by-step explanation:
New Brunswick middle school had 1,250 students last year this year they had a 15% increase. how many students are in new Brunswick middle achool this year?
Answers
1250+187.5=1437.5
1437.5 is your final answer
Convert 4.5 to a mixed number help for brainlist with explanation!
Answers
Answer:
4 1/2
Step-by-step explanation:
the 4 means that the whole number will be 4. .5 means that there is one half of 1, so 1/2 will be the decimal
we can also write the decimal as an improper fraction.
45/10
then, reduce the fraction by 5
9/2
2 can go into 9 four times, so that is our whole number. 2 times 4 is 8, so there is 1 left in the numerator.
4 1/2
With 4 being the whole number you multiple by the denominator which .5 being written as a fraction would be 5/10. With 4 multiples by 10 being 40, you then add the numerator 5 to get 45 and you write it as a fraction over 10.
Graph: f(x) = 4 to the power of 4
Answers
Answer:
how am I supposed to graph?
Step-by-step explanation:
Help anyone please and thank you
Answers
the answer would 1/4 of a gallon
simply because 4 of the containers equals one gallon
Write the decimal as a fraction in simplest form.
5. -18.04
Answers
Answer: - [tex]\frac{451}{25}[/tex]
Step-by-step explanation:
what are some different ways to write c=2.95g
Answers
What is the equivalent expression to 0.18 - 22/49
Answers
Explanation:
Write an equation of the line that passes through each point with the given slope.
(9,-8), m=
4
book
y = -43 - 44.
y = 4x - 44
y = 40 - 27
y = 4.1 +44
Question 6
1 pts
Answers
Answer:
Step-by-step explanation:
Triangle DEF is a scale drawing of triangle ABC.
What is the scale factor?
Answers
Step-by-step explanation:
every line uses the same factor.
a factor is something you multiply with.
so, what was the factor that turned 9 into 3 ?
9 × x = 3
x = 3/9 = 1/3
that is the scale factor.
Isolate the x
x + y/3 = 5
Answers
Answer:
x = 5 - y/3
Step-by-step explanation:
-10-11x+24=3x how can i solve this type of thing and i need to solve for x
Answers
-10 - 11x +24=3x
-10 (-11x +11x) +24 =3x +11x
-10 +24=14x
14=14x
1=x
x=1
2 over 3 take 1 over 2
Answers
Answer:
-1/6
Step-by-step explanation:
(2/3-1)/2
(-1/3)/2
-1/6
answer this questtion
Answers
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
Can someone help? (NO LINKS!)
Thank You!
Answers
Answer:
the answer is C
Step-by-step explanation:
that's what it is equivalent to
Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay? How do you know?
Answers
Answer:
(can't answer a since the ratio chart is incomprehensible through text)
b. 20 feet of ribbon for $12.00
12 / 3 = 4
5 x 4 = 20
c. 17 feet of ribbon for $10.20
find unit rate (cost / quantity)
3 / 5 = $0.60 per feet
0.60 x 17 = 10.2
find the angles marked with with letters
Answers
Answer:
<A=67⁰
<B=22⁰
<C=42⁰
Mark me BRAINLIESTAnswer:
a = 67° , b = 26° , c = 69°
Step-by-step explanation:
a and 67° are corresponding angles and are congruent , so
a = 67°
------------------------------------------------------
The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is
b + 34° = 60° ( subtract 34° from both sides )
b = 26°
---------------------------------------------------
The vertex of the triangle and 42° are vertically opposite and are congruent
vertex = 42°
The triangle has 2 equal legs and is isosceles with 2 base angles congruent.
c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°
[tex]-------------------[/tex]
12+2=