Given:
The height of an object, f(x), after x seconds is
[tex]f(x)=-2x^2+32[/tex]
To find:
The time taken be object to hit the ground.
Solution:
We have,
[tex]f(x)=-2x^2+32[/tex]
The object will hit the ground if the height is 0, i.e., f(x)=0.
[tex]0=-2x^2+32[/tex]
[tex]2x^2=32[/tex]
Divide both sides by 2.
[tex]x^2=\dfrac{32}{2}[/tex]
[tex]x^2=16[/tex]
Taking square root on both sides.
[tex]x=\pm 4[/tex]
Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.
It takes 8 minutes to fill an empty aquarium to a depth of
2/5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Answer
0
andrew8253
Virtuoso
237 answers
42.1K people helped
Answer:
The rate is 15 minutes per meter.
Step-by-step explanation:
It takes 9 minutes to fill a depth of meters.
Filling meters take 9 minutes time.
Filling 3 meters of the aquarium takes = 45 minutes time (Multiplying by 5 both the numbers).
In order to fill 1 meter of the aquarium it will take minutes (Dividing by 3 both the numerical values).
===================================================
Work Shown:
8 minutes = (2/5) meters
5*(8 minutes) = 5*( (2/5) meters )
40 minutes = 2 meters
40/2 minutes = 2/2 meters
20 minutes = 1 meter
The unit rate in minutes per meter is 20 minutes per meter.
In other words, it takes 20 minutes to raise the level 1 meter.
5(x+3)-3x^2 when x is -1.4
Answer:
The answer would be C.) 2.12
- A fish tank filter cleans 3 gallons of water every 1/4 hour. Set up and solve a proportion to determine how many gallons of water are cleaned in 4 hours.
Answer: 48 gallons in 4 hours
Step-by-step explanation:
3 gallons every .4 hours > 12 gallons every 1 hour > 48 gallons every 4 hours
Write the point-slope form of the line that has a slope of -7 and passes through the point (10,4).
Answer:
y=10/4-7
Step-by-step explanation:
I need help with this plz percent equations the question is blank % of 35 = 21
Answer:
60%
Step-by-step explanation:
What algebraic expression will I put for the drawing above?
1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?
Ethan works at an electronics store as a salesperson. Ethan earns a 5% commission on the total dollar amount of all phone sales he makes, and earns a 4% commission on all computer sales. Ethan had twice as much in computer sales as he had in phone sales and earned a total of $117 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Ethan made and the dollar amount of computer sales he made. Define the variables that you use to write the system.
Answer:
0.05x+0.04y=117
y=2x
where:
x is the amount of all phone sales
y is the amount of all computer sales
Step-by-step explanation:
From the information given, the first equation would indicate that the comission of all phone sales plus the comission from all computer sales would be equal to 117, which is:
0.05x+0.04y=117, where:
x is the amount of all phone sales
y is the amount of all computer sales
Also, the statement indicates that Ethan had twice as much in computer sales as he had in phone sales, which would be:
y=2x
Now, you can replace y=2x in the first equation and solve for x:
0.05x+0.04(2x)=117
0.05x+0.08x=117
0.13x=117
x=117/0.13
x=900
Finally, you can replace the value of x in y=2x to find the value of y:
y=2(900)
y=1800
23.82600 in standard form
Answer:
23.826
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
Which equation is written in slope-intercept form?
O y = 3x-2
O X= ży+ 8
- 2x + 5y = 12
O 3y = 8x-5
Answer:
The first one
y= 3x-2
Step-by-step explanation:
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge was above the water versus the amount of minutes that the
drawbridge was open
Answer:
1) Between 0 and 1 minute the rate of change is 25 ft./min
2) Between 1 and 2 minute the rate of change is 0 ft./min
3) Between 2 and 4 minute the rate of change is -12.5 ft./min
Step-by-step explanation:
1) Between 0, and 1 feet, we have;
The rate of change = (Final height - Initial height)/(Final time - Initial time)
The rate of change = (40 - 15)/(1 - 0) = 25 ft/min
Between 0 and 1 minute the rate of change = 25 ft./min
2) Between 1, and 2 feet, we have;
The rate of change = (40 - 40)/(2 - 1) = 0 ft/min
Between 1 and 2 minute the rate of change = 0 ft./min
3) Between 2, and 4 feet, we have;
The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min
Between 2 and 4 minute the rate of change = -12.5 ft./min
how do i solve 9 divide by 10.034
Answer:
9/10.034=.89695037
Step-by-step explanation:
Answer:
= 1.114
Solution:
We have the equation:
10.034 ÷ 9 = 1.114
Calculated to 3 decimal places.
0 1. 1 1 4
9 1 0. 0 3 4
− 0
1 0
− 9
1 0
− 9
1 3
− 9
4 4
− 3 6
8
HOPES THIS HELPS YOU!!!
CAN YOU PLEASE MARK MINE AS BRAINLIEST????
3+(−4)−8−(−1)
can guy help me pls
Answer:
-10
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Which expression is equivalent to 4(7 + 8)?
Answer:
28+32
Step-by-step explanation:
4(7+8)
= (4*7)+(4*8)
= 28+32
f(x) = -x^2 + 5x – 2
Find f(-4)
Answer:
2
Step-by-step explanation:
if f(4), than -4^2=-16
5(4)=20
-16+20-2=2
Solve (v +3) - 44 = 0, where v is a real number.
Answer: V = 41
Explanation in the photo below
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent?
The cost of one bag of peanuts
The cost of zero bags of peanuts
The cost of two bags of peanuts
The cost of three bags of peanuts
Answer:
Maybe three bags of peanuts? I'm not sure because I was looking for an answer not trying to answer the same question I've been stuck on for ages-
WAIT IT IS THREE-
-3(10+4v)=-6(5-9v)
step-by-step pls
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(10+4v)=−6(5−9v)
Step 1: Simplify both sides of the equation.
−3(10+4v)=−6(5−9v)
(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)
−30+−12v=−30+54v
−12v−30=54v−30
Step 2: Subtract 54v from both sides.
−12v−30−54v=54v−30−54v
−66v−30=−30
Step 3: Add 30 to both sides.
−66v−30+30=−30+30
−66v=0
Step 4: Divide both sides by -66.
−66v
−66
=
0
−66
v=0
Answer:
omg im so sorry
Step-by-step explanation:
will mark brainliest pls answer
Answer:
= 18 square units
Step-by-step explanation:
area = full square units + 1/2 x half-full square units
2
remember that if a square is not full it is NOT full: hence it will be considered as half full.
full square units =12
1/2 full square units =12
12 + 12/2
12 + 6
= 18 square units
On Saturday, 150 guests at a hotel called for room service, and 225 guests did not call for room service. What percentage of the guests at this hotel called for room service on Saturday?
Answer:
40% I believe Hope's it help
26-(6y-10)=27y-18-37 First will get brainliest!
Answer:
y = 91/33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
26 - (6y - 10) = 27y - 18 - 37
Step 2: Solve for y
Distribute negative: 26 - 6y + 10 = 27y - 18 - 37Combine like terms: -6y + 36 = 27y - 55Add 6y to both sides: 36 = 33y - 55Add 55 to both sides: 91 = 33yDivide 33 on both sides: 91/33 = yRewrite: y = 91/33find the slope of Y(-5,0) Z(-2,-4)
Answer:
m=-4/3
Step-by-step explanation:
y2-y1
x2-x1
x1=−5 ,
y1=0,
x2=−2,
y2=−4.
m=(−4)−(0)(−2)−(−5) =−4/3=−4/3.
Can someone please help?
134
-
120
would equal:
14.
Oscar has 5 baseballs jerseys , 2 hockey jerseys , 1 basketball jersey and 3 football jerseys . What’s the ratio of hockey jerseys to the total number of jerseys
Answer:
2:9
Step-by-step explanation:
Answer:
2:11
Step-by-step explanation:
There are 2 hockey jerseys and 11 TOTAL. Total is including the hockey jerseys aswell
(-1,5) (2,-5) what is the slope can anyone please help
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80
Answer:
20
Step-by-step explanation:
I hope this helps :))))
“Mr and mrs brown went to two movies. The first one Lasted 3 1/2 hours and the second one lasted 1 1/3 hours. How much longer was the first than the second movie” please help me I need serious help rn
Answer:
8/15=32
Step-by-step explanation:
50 % of blank = 21 plz I need help with that question
Answer:
42
Step-by-step explanation:
50% of ? = 21 is saying that you need to do 21 x 2, which is 42.Answer:42
21 x2 = 42. Therefore 1/2 or 50% of 42 is 21
Step-by-step explanation:
Find the area. Simplify your answer.
Hans's earnings vary directly with the number of hours he works. Suppose that he worked 7 hours yesterday and earned $112. If he earned $160 today, how many hours did he work today?
Answer: If he earned $160 today the Han worked for 10 hours today
Step-by-step explanation:
112/7=$16= 1 hour of work
160/16=10 hours