1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anygoal [31]
4 years ago
10

A dog spots a cat 50 feet away and starts to chase it. At the same moment, the cat starts to run away from the dog. The dog is r

unning 12 feet per second and the cat is running 10 feet per second. Let t represent the time elapsed (in seconds) since the chase began. Let d represent the distance between the cat and the dog (in feet) Write a formula to define the distance between them (d) in terms of the time elapsed (t).
Mathematics
1 answer:
Ronch [10]4 years ago
4 0

Answer:

D(t) = 50 -2t

At 25 seconds, the dog caught up with the cat

Step-by-step explanation:

At initial time t0

Distance = 50 ft

The dog is running 12 feet per second and the cat is running 10 feet per second.

So for each each time in seconds

Dog covers 12 feet while cat extends by 10 ft .

The distance between them at any given time

D(t)= 50 +10t -12t

D(t) = 50 -2t

The time it will take the dig to get to the cat is what D= 0

D(t) = 50 -2t

0= 50- 2t

2t= 50

t= 25

So at 25 seconds, the dog caught up with the cat

You might be interested in
The second and forth pic is the answers to the first and third pic.. second pic is the answers to first pic and the forth pic is
Deffense [45]

Answer:

pic # 1 answer is B. 81 x pi

pic#3 answer is C. QC

Step-by-step explanation:

pic #1

         the formula to find the area of a circle is pi x the radius to the second power

they give you the diameter. (18)

the radius is half of a diameter (d/2)

so 18/3 = 9

9 to the second power (9 x 9) = 81

so your answer is 81 x pi

pic#2

        I don't much, but i do know they asking for the radius and since the radius is half the diameter of a circle then QC makes sense in my book.

hope this is helpful.

7 0
3 years ago
Read 2 more answers
Victor needs to find the volume of 6 cubeshaped boxes with sides lengths of between 2 feet and 7 feet. The side lengths of the b
arlik [135]
V(s) = (S)^3
6 cube shapes with sides ranging in whole numbers from 2 feet to 7 feet:
S1 = 2 feet, S2 = 3 feet, S3 = 4 feet, S4 = 5 feet, S5 = 6 feet, S6 = 7 feet
V(s)1 = (S1)^3 = (2)^3 = 8 cubic feet
V(s)2 = (S2)^3 = (3)^3 = 27 cubic feet
V(s)3 = (S3)^3 = (4)^3 = 64 cubic feet
V(s)4 = (S4)^3 = (5)^3 = 125 cubic feet
V(s)5 = (S5)^3 = (6)^3 = 216 cubic feet
V(s)6 = (S6)^3 = (7)^3 = 343 cubic feet
8 0
3 years ago
Read 2 more answers
What does g(x)=(x^{2}+4x-12)(x-3)
Monica [59]
The answer is G(x)= 0
5 0
4 years ago
Answer this problem 3/14 divided 2/7<br><br> a. 2/7<br><br> b. 1/2<br><br> c. 1/7<br><br> d. 3/4
Ierofanga [76]

Answer:

d

Step-by-step explanation:

3/14 divided by 2/7 is 0.75

a.) 0.28571428571

b.) 0.5

c.) 0.14285714285

d.) 0.75

So d is the correct answer.

6 0
3 years ago
Read 2 more answers
Graph y equals 1/2 x - 3​
Elis [28]

Answer:

Resulting plot in the image attached

Step-by-step explanation:

Start by making a table of (x,y) pairs that satisfy this equation. Notice that two pairs would be enough, but it is always safer to obtain at least three to see them actually "aligned".

We are trying to find values for y when x= 0, 2, and 4 to make our calculations simple:

y=\frac{1}{2} x-3

When x = 0 then: y=\frac{1}{2} (0)-3=-3 So we plot the value (0,-3) on the x-y plane.

When x = 2 then: y=\frac{1}{2} (2)-3=1-3=-2 So we plot the value (2,-2) on the x-y plane.

When x = 0 then: y=\frac{1}{2} (4)-3=2-3=-1 So we plot the value (4,-1) on the x-y plane.

Please see the points and the resulting line in the image attached

5 0
3 years ago
Other questions:
  • the clock below shows the time when amber leaves home from school.At what time does amber leave home
    13·1 answer
  • What is the coefficient of the x^2 term of the algebraic expression 2x^4+x^2-x+7
    15·2 answers
  • The graph of a linear equation contains the points (3,11) and (-2,1) Which point also lies on the graph
    14·2 answers
  • Convert the decimal 0.92¯¯¯ to a fraction.
    8·1 answer
  • What is the answer to this question
    7·1 answer
  • Quiz
    6·2 answers
  • Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.
    11·2 answers
  • 8. At a music festival 55% of the crowd are from the UK, 25% are from elsewhere in Europe
    12·2 answers
  • Helppppppp and I mark you
    15·1 answer
  • 5.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!