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If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumpe

lakkis [162]

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper

Answer: We are given there are 49 cars

Also these 49 cars are in a line stretched 528 feet.

Now the average length of the car is:

Average length = $\frac{(length-covered-by-49-cars)}{Number-of-cars}$

= $\frac{528}{49}=10.78$

Therefore, the average length of car is 10.78 feet

6 0

3 years ago

We can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...

algol [13]

Answer: Inequality

Step-by-step explanation:

From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An

inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.

For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.

8 0

3 years ago

Write the composite function that represents (goF)(x)

12345 [234]

I would certainly be willing to do that for you. But in order to write the composite function, I would first need to know the elemental functions ... f (x) and g(x).

4 0

3 years ago

For which value of c is the line y=3x+c a tangent to the parabola with equation y=x^2-5x+7

katrin2010 [14]

To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.

Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line.

y = x² - 5x + 7
dy/dx = slope = 2x -5

Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.

2x - 5 = 3
x = 4

Now, we substitute x=4 to the original equation of the parabola:
y = (4)² - 5(4) + 7
y = 3

Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.

y = 3x + c
3 = 3(4) + c
c = -9

3 0

3 years ago

the population of one part of the city is recorded. in 2010 there was a population of 6500 people. from 2010 to 2014 our populat

miv72 [106K]

<h3>Hello there!</h3>

Your question asks to find what was the size of the population in 2017

<h3>Answer: 6,721</h3>

In order to solve this problem, we're going to need to use the given information in the question in order to find the population in 2017.

Key information:

In 2010, population was 6500

In 2014, population increased by 10% from 2010

In 2017, population decreased by 6% from 2014.

With the information above, we can solve the problem.

We're going to start with 6500 as our starting population.

We know that the population increased by 10% in 2014, so we would multiply 6500 by 1.10.

$6500*1.10=7,150$

The population in 2014 was 7,150.

We know that in 2017, the population decreased by 6% from the population in 2014. So we would find how much 6% is from 7,150 and then subtract that number.

$7,150*.06=429\\\\7,150-429=6,721$

When you're done solving, you sohuld get 6,721.

The population in 2017 would be 6,721.

<h3>I hope this helps!</h3><h3>Best regards, MasterInvestor</h3>

6 0

3 years ago