Which Superhero has the greater miles to second ratio

1. What is the slope of a line that is perpendicular to the x-axis

Ket [755]

Answer:

The slope of a line that is perpendicular to the x-axis is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

We also know a line that is perpendicular to the x-axis is basically a vertical line.

As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [4 - 2] / [1 - 1]

= 2 / 0

= ∞

8 0

2 years ago

Which expressions is equivalent ?

agasfer [191]

<h3>3 Answers: Choice C, Choice D, Choice F</h3>

What these expressions have in common is that their exponents multiply to 16

(-4)*(-4) = 16 for choice C
(-2)*(-8) = 16 for choice D
8*2 = 16 for choice F

The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.

7 0

3 years ago

During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon

Likurg_2 [28]

Answer:

The exponential growth function is $P=145380e^{0.04103t}$

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by $P=P_0 e^{kt}$

Here, P denotes total population after time t

$P_0$ denotes initial population

k denotes rate of growth

t denotes time

As $P(0)=145,380$ ,

$145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}$

As $P(10)=219135$

$219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}$

8 0

2 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

<u> Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000</u>

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

3 years ago

Does slopes of perpindicular lines have the same y intercept

Lubov Fominskaja [6]

Yes it is possible to have two perpendicular lines have the same y intercept. This is where the two lines cross or intersect each other. The y intercept is where the graph touches or crosses the y axis.

3 0

2 years ago