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3 years ago

What is the difference between point and vertex

1 answer:

5 0

The difference between a point and a vertex is that a point is a location with no size or dimension, where as, vertex is the common endpoint of two rays (angle).

hope this helps! :) - peachimin

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How many hours will it take a culture of bacteria to increase from 20 to 2000 if the growth rate per hour is 85%

Eddi Din [679]

So you are seeing how much time it'll take so you solve for "t", the time.
So you take the formula A=Pe^(rt) 
A=2000 because it's the end value 
P=20 because it's the starting value 
r=.85 since 85%=.85 and .85 is the rate 
Plug the values in and you get 2000=20e^(.85t) 
What you do is you divide by 20 so you get 100=e^(.85t) 
Take the natural logarithm of both sides 'cause of e and a natural log is written as ln so you get 
ln 100=.85t ln e and because you can use the power rule you end up with .85t ln e and 
ln e=1 so you have ln 100 = .85t so you divide by .85 so (ln 100)/.85=t and t=5.4178472776331 
hours 
3. Exponential decay: 
A= Pe^(rt) 
where 
A is the final amount 
P is the initial value 
r is rate of decay 
t is time (years) 
Let's say x is the initial amount then (1/2)x=xe^(32r) 
I used x because the value isn't given but anyway division by x would give you 1/2=e^(32r) 
Take the ln of both sides so ln 1/2=32r ln e and then ln e=1 so ln 1/2=32r. 
Divide both sides by 32 and you'd get (ln 1/2)/32=r and r= -0.021660849392498 
4. Another depreciation question. 
Each year the item retains 88% of its last-year value. 
Solve: 250,000(0.88)^x = 100,000 
0.88^x = 0.4 
x = [log0.4]/[log0.88] 
x = 7.168 years

8 0

3 years ago

Y= -2x - 3 y= 7x + 6 solve by elimination

tatiyna

Answer:

x = y = - 1

Step-by-step explanation:

y = - 2x - 3

y = 7x + 6 -----> equation 1.

So,

7x + 6 = - 2x - 3

7x + 2x = - 3 - 6

9x = - 9

Divide 9 on both sides,

9x / 9 = - 9 / 9

x = - 1

Substitute x = - 1 in equation 1,

y = 7x + 6

= 7 ( - 1 ) + 6

= - 7 + 6

= 6 - 7

y = - 1

Therefore,

x = y = - 1

3 0

2 years ago

Read 2 more answers

A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?

GrogVix [38]

Answer:

7 feet

I hoped that helped

6 0

3 years ago

Read 2 more answers

amy is going to put 6 triangular tables together to make one large hexagon shaped table. what will be the area of the hexagon ta

tresset_1 [31]

Answer:

The area of the hexagonal table will be 27 square feet

Step-by-step explanation:

Given:

The height of the triangle = 3 feet

The base of the triangle = 3 feet

To Find:

The area of the hexagonal table = "

Solution:

Step 1: Finding the area of the triangle

The area of the triangle = $\frac{1}{2} \times base \times height$

On substituting the values

The area of the triangle is = $\frac{1}{2} \times 3 \times 3$

The area of the triangle = $\frac{9}{2}$ square feet

Step 2 : Finding the area of the hexagonal table

The area of the hexagonal table is = 6 X area of one triangle

The area of the hexagonal table = $6 \times \frac{9}{2}$

The area of the hexagonal table = $\frac{54}{2}$

The area of the hexagonal table = 27 square feet

3 0

3 years ago

Read 2 more answers

A line passes through the points (4, 9) and (8, 10). What is its equation in slope-intercept form?

AfilCa [17]

Answer:

Step-by-step explanation:

1) find slope

y2-y1/x2-x1

10-9 divided by 8 - 4

1/4 = slope

1/4 = y

b = y-int

5 0

3 years ago