Of the 2,500 light bulbs produced in one hour at General Lighting, 75 were defective. What percent of the light bulbs were defective?

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Consider this statement:for every 2 boys, there are 4 girls.do you agree with the statement?

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yes, because the ratio would be 1 boy for every 2 girls, meaning 2 boys for 4 girls would make sense. they could be trying to trick you, but I think it's correct. It's not fully simplified but it still is accurate

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

Answers

Answer:

$y=12,000*(0.88)^x$

Step-by-step explanation:

Please find the attachment.

We have been given that Jason estimates that his car loses 12% of its value every year. The initial value is $12,000.

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

An exponential decay function is in form: $y=a*(1-r)^x$ , where,

a = Initial value,

r = Decay rate in decimal form.

Let us convert our given rate in decimal form.

$12\%=(12)/(100)=0.12$

Upon substituting our given values in decay function we will get,

$y=12,000*(1-0.12)^x$

$y=12,000*(0.88)^x$

We can see from our graph that as x approaches infinity, y approaches to zero, therefore, our graph will have a horizontal asymptote at y=0.

Therefore, the function $y=12,000*(0.88)^x$ represents the value of the car after x years.

ANSWER:

y= 12000*(0.88)x

Step-by-step explanation:

We have been given that Jason estimates that his car loses 12% o

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

Your record bicycle pace along a favorite trail is 16 mph. On a recent ride, you traveled the 25 mile route in a time of 90 minutes. What was your average speed? Did it break your record pace?

Answers

Remember that d = rt or distance = rate times time. You want your answer in miles per hour so convert 90 minutes to 1.5 hours. Now plug in your values:
25mi = r*1.5hrs.
r = 25/1.5 = 16.667mph.

This is greater than 16mph so you did break your record pace.

Answer:

You did break your pace. You were able to travle about .7 miles per hour faster.

Step-by-step explanation:

Speed: Distance/time

Speed: 25/90

Speed: 16.6667 miles per hour

Speed: 16.7

Choose the correct simplification of $(a^5b^6)/(a^4b^4)$ (a) $a^9b^1^0$
(b) $ab^2$
(c) $(1)/(ab^2)$
(d) $(1)/(a^9b^1^0)$

Answers

The correct simplification will be: (b) ab²

$(a^5 b^6)/(a^4 b^4)$

Here we will use the property of exponents for division of two exponential terms with same bases. The original property is : $(x^m)/(x^n) = x^m^-^n$

It means if the bases are same , then we will just subtract the exponents while dividing two terms.

Using this property:

$(a^5)/(a^4) = a^5^-^4 = a^1 = a$

and $(b^6)/(b^4) = b^6^-^4 = b^2$

So,

Answer:

a^5 - a^4 = a1 or a

b^6 - b^4 = b2

put them together and you get ab^2

I also took the test and got it right

The diameter of a circle has endpoints whose coordinates are R(-2, 2) and S(4, 2). what is the length of the radius?

Answers

Answer: 3 units

Step-by-step explanation:

Using distance formula :

$√((x_2-x_1)^2+(y_2-y_1)^2)$

The diameter of the circle with endpoints R(-2, 2) and S(4, 2) will be

$d=√((4+2)^2+(2-2)^2)=√(36)=6\ units$

Since, the radius of a circle is half of the diameter.

Then the radius of the circle will be

$r=(d)/(2)=(6)/(2)=3\ units$

Hence, the radius of the circle = 3 units.

Answer:

the answer is 3

Step-by-step explanation:

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!Find PR.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

PR =