On the moon, the distance d (in feet) that an object falls intime t (in seconds) is modeled by the function d(t) = 8/3 t
Suppose an astronaut on the moon drops a tool. How long
does it take the tool to fall 4 feet?

Answers

Answer 1
Answer:

Answer:

3/2

Step-by-step explanation:

If d = feet and the question is how long it takes if a tool falls down 4 feet then plug that in the equation, which is 4 = 8/3 t

Then bring the 3 to the other side by multiplying which is 8x = 12

Lastly it is 12/8, simplified to 3/2

Answer 2
Answer:

Final answer:

The astronaut's tool would take 1.5 seconds to fall 4 feet on the moon when using the given function d(t) = 8/3 t.

Explanation:

To find the time it takes the tool to fall 4 feet on the moon, we would need to set the distance d equal to 4 in the given mathematical expression and solve for t. So we would use the given function d(t) = 8/3 t.

  1. Set d(t) equal to 4: 4 = 8/3 t
  2. Solve for t by multiplying both sides with the reciprocal of 8/3 which is 3/8: t = 4 * 3/8
  3. Simplify to find: t = 1.5 seconds

So the astronaut's tool would take 1.5 seconds to fall 4 feet on the moon.

Learn more about Falling object on the moon here:

brainly.com/question/37373054

#SPJ2


Related Questions

You increase the size of a page by 30%. Then you decrease it by 30%. What is the size of the page now?
Ben earns $9 per hour and $6 for each delivery he makes. He wants to make $155 in an 8-hour workday. What is the least number of deliveries he must make to reach his goal?
What is the value of G? -25 divided by g= 25
The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
♡ A scientist recorded the growth of a plant over time. He used the data to make the graph below.Which equation represents the situation?A.y = 1.5x − 2B.y = 1.5x + 2C.y = 2x – 1.5D.y = 2x + 1.5

in a circle , the length of an arc intercepted by a central angle is 12mm and the radius of the circle is 8mm. what is the measure, in radians , of the angle . A. 1.5 B. 95 C. 20 D 4.4

Answers

1) we calculate the circumference of this circle.
circumference of a circle=2πr
data:
r=8 mm

circumference=2(8 mm)π=16π mm

2)we calculate the measure, in radians of the angle.
We know that:
circumference of a circle=2π radians
therefore:
16π mm=2π radians.

16 π mm--------------------------2π radians
12 mm-----------------------------  x

x=(12 mm  *  2π radians) / 16π mm=1.5 radians.

Answer: A.  1.5

Answer:

Its 1.5!

Step-by-step explanation:

Lexile test lol

Is the following statement tre? 8÷5=8/5. why or why not? _________

Answers

No it not true 8÷5=0.625

Then you know that 
4 + 5/8 = 4 + .625 

They are equal. 

Simple arithmetic tells you that that 4+ .625 = 4.625 

Which in itself is equal to 4 and 5/8

If each student gets 1/8 of a pizza at a
party and there are 5 pizzas, how many
students will be able to get a serving of
pizza?

Answers

Answer:

40 i believe

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

1/8 * 5

40

What is 50 divided by 2.5

Answers

The answer to the question is 20.
20 is the correct answer

What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)}  A.{2, 4}  B.{1, 2, 3, 4, 6}  C.{2, 4, 6}  D.{1, 2, 3, 4}
Which relation is a function?  A.{(1, 2); (2, 3); (3, 4); (2, 5)}  B.{(1, 2); (1, 3); (1, 4); (1, 5)}  C.{(1, 2); (2, 3); (3, 4); (1, 5)}  D.{(1, 2); (2, 2); (3, 2); (4, 2)}

For the function f(x) = 2 – 3x, find f(4).  A.–5  B.12  C.–10  D.14
Which equation represents a direct linear variation?  A.y = x – 3  B.y=1/3x  C.y = x^2  D.y=1/x
Which is the direct linear variation equation for the relationship?

y varies directly with x and y = 12 when x = 4.
 
  A.y = 3^x  B.y = x + 8  C.y = 2x + 4   D.y = x – 8
Which is the quadratic variation equation for the relationship?

    y varies directly with x2 and y = 48 when x = 2.
 
  A.y = 4x^2  B.y = 4x  C.y = 12x^2  D.y = x^2 + 25

Write the inverse variation equation for the relationship: y varies inversely with x and y = 4 when x = 2.
  A.y = 2x  B.y=8/x  C.y = x + 2  D.y=1/2x

Answers

(1)\ \ \ \ range:\ \ \ \{2, 4, 6\}\ \ \ \Rightarrow\ \ \ Ans.\ C\n\n(2)\ \ \ function:\ \ \ \{(1, 2); (2, 2); (3, 2); (4, 2)\}\ \ \ \Rightarrow\ \ \ Ans.\ D\n\n(3)\ \ \ f(4)=2-3\cdot4=2-12=-10\ \ \ \Rightarrow\ \ \ Ans.\ C\n\n(4)\ \ \ direct:\ \ \ y=ax\ \ \ \Rightarrow\ \ \ y= (1)/(3) x\ \ \ \Rightarrow\ \ \ Ans.\ B\n\n(5)\ \ \ f(x)=ax\ \ \ and\ \ \ f(4)=12\n.\ \ \ \ \ \Rightarrow\ \ \ 12=a\cdot4\ \ \ \Rightarrow\ \ \ a=3\ \ \ \Rightarrow\ \ \ f(x)=3x\ \ \ \Rightarrow\ \ \ Ans.\ (?)\n\n

(6)\ \ \ f(x)=ax^2\ \ \ and\ \ \ f(2)=48\n.\ \ \ \Rightarrow\ \ 48=a\cdot2^2\ \ \Rightarrow\ \ a=48:4=12\ \ \Rightarrow\ \ f(x)=12x^2\ \Rightarrow\ \ Ans.\ C\n\n(7)\ \ \ inversely:\ \ \ f(x)= (a)/(x) \ \ \ and\ \ \ f(2)=4\n.\ \ \ \Rightarrow\ \ \ 4= (a)/(2) \ \ \ \Rightarrow\ \ \ a=4\cdot2=8\ \ \ \Rightarrow\ \ \ y= (8)/(x)\ \ \ \Rightarrow\ \ \ Ans.\ B

Clint bought 3 T-shirts at $9 each and 2 pairs of shorts at $12 each. Explain how to find the total Clint spent.

Answers

total cost=shirtcost+shortscost

shirtcost=number of shirts time cost per shirt
shirtcost=3 times 9=$27

shortscost=number of shirts times cost per short
shortcost=2 times 12=$24

total cost=27+24=51

total is $51
You need to use multiplication.

3 x 9 = 27

2 x 12 = 24

Now add 24 and 27 wich make 51.