An object is dropped from a height of 288 feet. The equation, - 16t ^ 2 + 288t = h(t) represents the height, hof the object after tseconds. How long does it take the object to the ground?
0 seconds
16 seconds
18 seconds
88 seconds
18 seconds
Step-by-step explanation:
The object will reach the ground when its height h(t) = 0. Therefore, we can write
[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]
Solving for t, we get
[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]
Find the equation of the line shown!!!
Answer:
y = x + 6
Step-by-step explanation:
Slope = -7 and passing through (-4,34)
if it is asking for point slope form the answer is : y-34=-7(x+4)
if it is asking it in slope intercept form the answer is: y=-7x-62
Find the sum 52,679 + 3,596
Answer:
56,275
Step-by-step explanation:
Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
A jar contains 17 red marbles and 32 blue marbles.
If we pull out 2 marbles at random, we need to find the probability that both are red.
The number of possible outcomes,
[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]
The number of possible outcomes of selecting both the red marbles.
[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]
The probability that both the marbles are red,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]
Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
Learn more about the probability here:
brainly.com/question/11234923
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Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form
y=2/3x -3
the picture is the explanation
elect all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses blocking.
This study uses a control group.
This study uses a repeated measures design.
This study uses random sampling.
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
plato/edmentum
Answer:
This study uses a control group. This study uses a repeated measures design.
What is 68×4-43..? XP I really need help with this one.
The difference between 12 and ten times a number is -28
Answer:
4Step-by-step explanation:
[tex]n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}[/tex]
What is 1/3÷1/2 math answers?
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Ana is a dedicated Skee Ball player (see
photo) who always rolls for the 50-point slot. The
probability distribution of Ana’s score X on a single
roll of the ball is shown below. You can check that
Mx = 23.8 and og
12.63.
Find and interpret mean
Find and interpret standard deviation
Answer:
i dont know 69 420?
Step-by-step explanation:
In a bag of 50 marbles, 20 marbles are blue or pink.
What percentage of marbles are blue or pink?
Enter the missing values in the boxes to complete the ratio table.
Thanks.
Answer:
40%
Step-by-step explanation:
The ratio is 20:50, we can expand to 40:100, so 40%
Need help with this quick plz??
Answer:10 or someones else’s answer this not my best
Step-by-step explanation:
Tobias's music store bought a piano at the wholesale price of $550 to buy a smart up the price 35% of the amount of mark up
Answer: 742.50$
Step-by-step explanation:
35% of 550 is 192.50$ 192.50$ + 550.00$= 742.50$
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f ( t ) = 92 − 4 log 10 ( t + 1 ) , 0 ≤ t ≤ 24 where t is the time in months.
Using the logarithmic function, it is found that:
a) The initial score is of 92.
b) After 6 months, the score is of 88.6.
c) After 18 months, the score is of 86.9.
The average score after t months is modeled by:
[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]
Item a:
The initial score is of f(0), hence:
[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]
The initial score is of 92.
Item b:
After 6 months, the score is of f(6), hence:
[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]
After 6 months, the score is of 88.6.
Item c:
After 18 months, the score is of f(18), hence:
[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]
After 18 months, the score is of 86.9.
A similar problem is given at https://brainly.com/question/24286043
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68
A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.
Answer:
3
Step-by-step explanation:
3. a. Which of the numbered angles are exterior angles?
b. Name the remote interior angles for each exterior angle.
C. How are exterior angles 6 and 8 related?
(Picture included) please help
4, 5, 6, 7 & 8 are exterior angles.
Answer:
See answers below.
Step-by-step explanation:
Exterior angles are angles that form a linear pair with an angle of a triangle.
Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)
A. Exterior angles are ∠8, ∠7, ∠5, ∠4, and ∠6
B. Remote interiors angles are :
Looking at ∠6, the remote interior angles are ∠1 and ∠2
Looking at ∠8, the remote interior angles are ∠1 and ∠2
Looking at ∠5, the remote interion angles are ∠1 and ∠3
C. ∠6 and ∠8 are vertical angles which are ≅ and equal.
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
What is the distance between the coordinates (9, -2) and (9, 8) please helppp
The difference of a number and six is negative four
Can someone please help me
Answer:
The linear ones
options 1 and 3
Step-by-step explanation:
4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively
2 is asymptotic to the negative x axis on the positive side
How to find answer to: 8% of ? = 20
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
1 year = 365 days
1 day = 24 hours
How many years is 1,000,000 hours?
Has to be dimensional analysis
Answer: 41,667
Step-by-step explanation:
1,000,000 divided by 24= 41,666.666
you should round this answer up if your question asks for that to 41,667
–42 >7f +3 what is f
Answer:
[tex]\displaystyle f < \frac{-45}{7}[/tex]
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle -42 > 7f + 3[/tex]
Step 2: Solve for f
[Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides: [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite: [tex]\displaystyle f < \frac{-45}{7}[/tex]Topic: Algebra I
Unit: One-Variable Equations
Find the quotient. Answer
should be in simplest form.
How many groups of 1/2 are in 7
Answer:
14
Step-by-step explanation:
I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE
Pre college need help
Answer:
f(-8) = 169
Step-by-step explanation: