Part D: Write an equation that would represent the
number of seconds it took the skydiver to reach a
height of 400 meters and use the equation to solve for
that time.
Part E: What is an appropriate domain for the
situation
A 0
B. 0
C. Sy s 44.7
DO Sy 5 760
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.
a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables (output) while the independent variable is not dependent on other variables (input).
Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:
y = 760 - 17x
At a height of 400 m, the number of seconds is:
y = 760 - 17x
400 = 760 - 17x
17x = 760 - 400
17x = 360
x = 21.2
x ≅ 21 seconds
It takes 21 seconds to reach a height of 400 m
b) Domain is the set of all independent variables. In this case the independent variable is the time (x)
The minimum time is at y = 760
y= 760 - 17x
760 = 760 - 17x
17x = 0
x = 0
The maximum time is at y = 0
y= 760 - 17x
0 = 760 - 17x
17x = 760
x = 44.7
Hence the domain = 0 ≤ x ≤ 44.7
F(x) = 1/3(4-x)2 what is the value of f (16)
Answer:
-8
Step-by-step explanation:
HELPPPP! PLEASE EXPLAIN!!!
Evaluate the following expression:
[9 (10 – 2)] = [2 + (5 x 2)]
Answer:
6
Step-by-step explanation:
Find an equation for the vertical line through the point (6, -6).
Answer:
x=6
Step-by-step explanation:
Since the line is vertical, it has no slope. This means that it will only go through points that have an x-coordinate of 6.
can I get an answer please
Answer: 1, 4, -7
Step-by-step explanation:
Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.
z, 4z², -7a
Since these all have variables in the terms, we know the coefficients are 1, 4, -7.
what’s the sequence for “S,M,T,W.... What’s the next three terms ?
Answer:
R F S
Step-by-step explanation:
These are the days of the week.
Sunday, Monday, Tuesday, Wednesday, Thursday, Saturday, Sunday
123453737372×69943773884=
Answer:
wow I got a big E and am sooo happy to get 5 marks
Answer:
8,634,820,291,881,888,392,848
Step-by-step explanation:
123453737372×69943773884 = 8,634,820,291,881,888,392,848
Many calculators don't keep the required number of digits.
Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2 + 5x + 8
Answer:
See attached
Step-by-step explanation:
Given function:
y = -2x² + 5x + 8Table and graph are attached
Zeros are included in the graph
Zero's are obtained:
x = 0 ⇒ y = 8
y = 0 ⇒ Solving quadratic equation
-2x² + 5x + 8 = 0x = (-5 ± √(25 + 2*4*8))/-4x = 3.608x = -1.108So zeros are (0, 8), (3.608, 0) and (-1.108, 0)
Simplify. (12)2−6(2−23) Enter your answer, as a simplified fraction, in the box.
Answer: 240
Step-by-step explanation:
Distribute all numbers
24 - 6(-21)
24 - (-126)
24+216
240
tell me ratios simplest forms
Meghan Trainor spent $180 to start a dog walking business and earns $80 for each dog she walks Nicki Minaj didn't spend anything to start her business and already has $160 saved up Nicki Minaj and $6 for each dog she walks how many dogs would they each have to walk before they have the same amount of money
Answer:
Nicki will have to walk 13 dogs to get the same amount of money as Meghan
Pls mark me brainliest.
Which equation gives the line shown on the graph?
y
y=2.0 +4
10
9
y= {x + 4
8
7
6
y=-3x – 4
5
y = 23 – 4
3
2.
1
0
0
1 2
3 4 5 6 7 8 9 10
need help
Answer:
y=(1/2)x+4
(0,4) and (10,9) both satisfy this equation.
Hope it helps:-)
My snack time calls for 1/2 cup raisins,2/3 cup of nuts and 1/4 cup of chocolate chips what is the combined total
Answer:
[tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex] (they're the same)
Step-by-step explanation:
1/2 + 2/3 + 1/4 = 12/24 + 16/24 + 6/2412/24 + 16/24 + 6/24 = 34/2434/24 = 17/12 = 1 5/12I hope this helps!
How do you do this I don’t know how to do the triangle.
Answer:
I think the answer is 36
Step-by-step explanation:
I reduced 20in and I got 15inches
then as we know perimeter is the distance right round the shape so I add 15, 9 and 12 and I got 36
Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage and your current bill cost. After using 3 GB of data, you owe $30. After 5 GB of data, you owe $40. What is the initial fee prior to the data usage charge?
Answer:
Hi there!
Your answer is: 5$ flat rate!
Step-by-step explanation:
3x + 5 = 30
5x +5 = 40
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 32 minutes of calls is $21.16, and the remaining credit after 56 minutes of calls is $18.28. What is the remaining credit after 72 minutes of calls?
Answer:
The credit remaining on a phone card is 16.36 dollars
Step-by-step explanation:
A linear function is a polynomial function of the first degree of the form:
f (x) = m * x + b or y = m * x + b
where m is the slope of the linear function and b is the ordinate to the origin and it is the coefficient of the independent variable.
Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the slope of the linear function using the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
The coefficient b is calculated simply by replacing any of the points in the linear function, knowing m, and isolating the value.
In this case you want the linear function first:
credit remaining on a phone card= m* the calling time in minutes + b
Being the points (32; 21.16) and (56;18.28), then the slope m will be:
[tex]m=\frac{18.28-21.16}{56-32}[/tex]
m= -0.12
Then, replacing the point (32; 21.16) in
credit remaining on a phone card= -0.12* the calling time in minutes + b
you get:
21.16= -0.12*32 + b → 21.16= -3.84 + b → 21.16 + 3.84= b → 25=b
Then, replacing the point (56;18.28) in
credit remaining on a phone card= -0.12* the calling time in minutes + b
you get:
18.28= -0.12*56 + b → 18.28= -6.72 + b → 18.28 + 6.72= b → 25=b
You can see that the value of b is the same.
So the linear function is:
credit remaining on a phone card= -0.12* the calling time in minutes + 25
Being the call time in minutes equal to 72, you replace this value in the linear function:
credit remaining on a phone card= -0.12* 72+ 25
and you get:
credit remaining on a phone card= -8.64+ 25
credit remaining on a phone card= 16.36
The credit remaining on a phone card is 16.36 dollars
7(5)^2 - 17
How do you solve
Answer:
7•(5•5) -17 = 7•25-17= 175-17= 158
Find 5/6 of 15. Express your answer in simplest form.
Answer:
I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions.
Step-by-step explanation:
Answer
25/2 or 12 and 1/2
Step-by-step explanation:
One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per
month but does not have a joining fee. How many months would it take for each gym to
cost the same amount of money?
Answer:
It would take 1 month for the first gym (costs $24 per month) and 4 month for the second gym (costs $39 per month)
Step-by-step explanation:
If you add up $24 and $135 it equals 159. So for the first month you have to pay (in total) $159 dollars. So, if you want to get the same amount of money you have to multiply 39. To find out what number you need to multiply 39 with 4. Then you would have to add $3.
What is 14 2/3 as an improper fraction?
Answer:
44
__
3
(another way to put it)
44/3
Answer:
44 / 3
Step-by-step explanation:
Pretty easy actually.
what would x equal if 1/2x-2=8
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
(Please help ASAP!!)
Twice a number increased by 5 is equal to 16 less than 9 times the number. Find the number.
HURRY DUE IN 20 MINUTES Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
Answer:
1 = A
2= D
3= B
4= C
1) -13(-6x- 14) = -910 solve
Answer:
x=2
Step-by-step explanation:
solve for x 5(3a+2)=-65
Answer:
a = -5
Step-by-step explanation:
5(3a + 2) = -65 given
5*3a = 15 distributive property
5*2 = 10 distributive property
(15a + 10) = -65 the +10 goes to the other side as -10
15a = -75 divide 75/15
a = -5 result
solve screen shot attachment EASY
Answer:
[tex]x = \frac{-3d-9}{k-d}[/tex]
Step-by-step explanation:
Step 1: Write out equation
d(-3 + x) = kx + 9
Step 2: Distribute d
-3d + dx = kx + 9
Step 3: Subtract 9 on both sides
-3d + dx - 9 = kx
Step 4: Subtract dx on both sides
-3d - 9 = kx - dx
Step 5: Factor out x
-3d - 9 = x(k - d)
Step 6: Divide both sides by k - d
[tex]x = \frac{-3d-9}{k-d}[/tex]
500 deposit over 20 years with an interest rate of 5%
Answer:
At the end of 20 years, your savings will have grown to $1,326.
You will have earned in $826 in interest.
Step-by-step explanation:
The number 28 is 4 times as many as 7. Write this comparison as a multoplication equation
Answer:
4 x 7
Hope this helps pla mark brainliest : )
The mathematical expression will be;
⇒ 28 = 4 × 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''The number 28 is 4 times as many as 7''
Now,
Since, The algebraic expression is,
''The number 28 is 4 times as many as 7''
Hence, We can formulate;
⇒ 28 = 4 × 7
Thus, The The mathematical expression is find as;
⇒ 28 = 4 × 7
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
a bus is traveling at a constant speed if the bus travels 15 1/2 miles in 1/3 of an hour how many miles will the bus travel in one hour
Answer:93/2 or 46 1/2
Step-by-step explanation:
15 1/2 ✖️3
