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
8090 [49]
1 year ago
10

Rachel leaves Las Vegas heading directly east at a rate of 53 miles per hour.

Mathematics
1 answer:
shutvik [7]1 year ago
7 0

The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.

<h3>What is speed?</h3>

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,

Distance covered by Rachel = 1 hour ×  53 miles per hour = 53 miles

Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,

Time needed to catch up with Rachel = Distance / relative speed

Time = 53 miles / (58 mph - 53 mph)

         = 53 miles / 5 mph

         = 10.6 hours

Hence, it will take Max 10.6 hours to catch up with Rachel.

Learn more about Speed here:

brainly.com/question/15100898

#SPJ1

You might be interested in
Let μ denote the true average radioactivity level(picocuries per liter). The value 5 pCi/L is considered thedividing line betwee
VMariaS [17]

Answer:

H0: μ = 5 versus Ha: μ < 5.

Step-by-step explanation:

Given:

μ = true average radioactivity level(picocuries per liter)

5 pCi/L = dividing line between safe and unsafe water

The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.

A type I error, is an error where the null hypothesis, H0 is rejected when it is true.

We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended.

Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.

7 0
2 years ago
Please help and thank you!!!
Jlenok [28]

Answer:

Step-by-step explanation:

12: 8,700

13: 42

14: 70,000

15: 5,000,000,000

16: 2,210

17: 34,100

18: 1,650

19: 149

20: 290,000

6 0
2 years ago
Read 2 more answers
Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio
ANTONII [103]

The missing options are:

A.\ f(20) =5,000

B.\ f(5000) = 20

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

A.\ f(20) =5,000

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  (x,y)

So, when x = 20 and y = 5000 ----- given

(x,y) implies that:

(x,y) = (20,5000)

We got (20,5000) by substituting 20 for x and 5000 for y

<em />

<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>

Represent (x,y) as a function, we have:

y = f(x)

Substitute values for x and y

5000 = f(20)

Reorder

f(20) = 5000

<em></em>

The above is illustrated in option A

<em>Hence, A and C answers the question</em>

3 0
2 years ago
a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream
Nonamiya [84]

the coordinates where the bridges must be built is (3,-6) and (6,3) .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

7 0
3 years ago
Find the Equation of x(2x+5)-3(2x+5)=0
Nata [24]
2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

i really don't know how i got 3 in the first place but that is your answer

hope this helps


5 0
3 years ago
Other questions:
  • What is the answer to 3 5/8 - 2 1/8 =
    5·2 answers
  • Why does multiply numbers by 10 move the decimal point to the right but multiplying by 0.10 move the decimal point to the left
    14·2 answers
  • The mean response time of a species of pigs to a stimulus is 0.8 seconds. Twenty-eight pigs were given 2 oz of alcohol and then
    5·1 answer
  • Suppose the radius of a circle is 2. What is its circumference?
    12·1 answer
  • What is cubic inches of aquarium that is 3/4 full
    6·1 answer
  • I need to know what the statement means , plz help !
    7·1 answer
  • Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75
    14·1 answer
  • Can someone help me out here? Not sure how to solve this problem or where to start either?
    10·2 answers
  • What is the range ?​
    15·1 answer
  • A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Fin
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!