**WILL GIVE MEDAL!!!**A car traveling on a highway is 60 miles away from home after 1 hour, and is 300 miles away from home after 5 hours. What is the rate of change of the car’s distance over time?

a. 1/60 mph
b. 15/2 mph
c. 55mph
d. 60 mph

Answers

Answer 1
Answer: If the car is traveling 60mph and is 300 miles away after 5 hours, the rate of change here is to divide 5 by 300. The answer is 60 (D). The problem here would look like 300/5=60. So the rate of change of the car's distance over time would be 60.

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True or False: Certain irrational numbers can be written as fractions

Answers

Answer:

False

Step-by-step explanation:

It can be written as a decimal but not a fraction cause it will always terminate or repeat

Final answer:

The claim that certain irrational numbers can be written as fractions is false. Irrational numbers cannot be expressed as fractions while rational numbers can be. The statement is false.

Explanation:

By definition, irrational numbers cannot be written as fractions. Irrational numbers are numbers that, when time in a decimal form, neither terminate nor repeat. Examples of irrational numbers include sqrt(2) and π. On the other hand, fractions or rational numbers always terminate or repeat when written as a decimal.

Learn more about Irrational Numbers here:

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If 5x + 15 is greater than 20, which of the following best describes possible values of x ?a) x > 5, b) x > 3, c) x > 1, d) x < 5, e) x < 1

Answers

5x + 15 >20 \ \ |-15\n \n5x+15-15>20-15 \n \n5x>5\ \ / :5 \n \nx > 1 \n \n Answer : \ c) \ \ x > 1


5x+15>20 \n 5x>20-15 \n 5x>5 \n x>5/5 \n x>1

This answer is C).

Rearrange the formula a = θr22 for θ.

Answers

a= theta r 22Theta = a/ 22r

Answer:

θ = 2A/r^2

I completed this question on USA Test Prep and got this answer

you are standing, on the horizontal ground, __ feet from the base of a cliff. Admiring your surroundings, you nite that the angle of elevation to the top of the cliff to be __ degrees. If realistic limits are imposed on your choices, what would be a reasonable distance from the cliff? What would be a reasonable angle if elevation? Explain.

Answers

If realistic limits are imposed on the choices I would go with 1000 ft. For the angle of elevation I would chose 34°. This because as we know an angle of elevation is the angle between the observer's’ line of sight and a horizontal line when the observer looks upward.



If you wanted to find the height of the cliff you would use the following:



Tan34 = x/1000

x = tan(34)*1000

x = 674.51 ft.


I hope this helps, Regards.

Chris wants to order DVD's over the internet. Each DVD costs $5 and shipping the entire order costs $25. If he can spend no more than $125, how many DVD's could he buy?

Answers

Answer: A)5x+25 ≤125

               B)x ≤20

Step-by-step explanation:

A) $5: How much per DVD

     x:# of DVDs he gets

        +25:Shipping fee

     ≤: He has a max of 125 he can spend an equivalence of or less but no more.  125 can be on the left end of a greater than or equal to the equation as well.

B)5x+25 ≤125

         -25  -25

5x≤ 100

5/5x≤100/5

x≤20

Hope this helps!!

Find the balance in the account. $700 principal earning 5%, compounded monthly, after 9 years

Answers

Answer: The balance in the account after 9 years is $1085.93.

Step-by-step explanation:

Since we have given that

Principal amount = $700

Rate of interest = 5%

Number of years = 9

Since we have mentioned to use "Compound Interest " method:

As we know the formula for above i.e.

A=P(1+(r)/(100))^n\n\nA=700(1+(5)/(100))^9\n\nA=\$1085.93

Hence, the balance in the account after 9 years is $1085.93.

A=700×(1+0.05÷12)^(12×9)
A=1,096.79