Answer:
[tex]P=40(1.03526)^{t}[/tex]
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P=P_o(1+r)^{t}[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
[tex]2P_o=P_o(1+r)^{20}[/tex]
Simplifying:
[tex](1+r)^{20}=2[/tex]
Solving for 1+r:
[tex]1+r=\sqrt[20]{2}[/tex]
[tex]1+r=1.03526[/tex]
The exponential function that models the situation is:
[tex]\mathbf{P=40(1.03526)^{t}}[/tex]
what is the biggest slime bubble idk why but yeah and pls answer
Answer:
there is alot of them
Step-by-step explanation:
If V= 12.8 when P= 500, determine the constant of variation
Answer: 12.8 × 500 =k
6400=k
Step-by-step explanation:
I NEED HELP ,PLAESE AYUDAAAAA POR FAVOR
Answer:
Step-by-step explanation:
First off, if side BC and side EC are congruent, then this is an isosceles triangle. It then goes to follow by the Isosceles Triangle Theorem that angle EBC is also 67 degrees. By the Triangle Angle-Sum Theorem then, angle BCE is 180 - 67 - 67 which is 46 degrees. Angle BCE is supplementary to angle FCA which means they add up to equal 180, so angle FCA is 180 - 46 = 134.
Angle FCA = 134
PLEASE HELP ASAP!!!!!!!!
Pls solve... will give brainliest... linear inequality
What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in. SHOW YOUR WORK and line them up
Final Answer: [tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]
Steps/Reasons/Explanation:
We will be trying to find the area of the rectangle. The formula tells us to multiply width times length. This means that we will multiply our length of 15.2 inches by a width of 5.05 inches to find the area of a rectangle.
The final answer would include [tex]in^2[/tex] because we are multiplying both inches of the length and width to find the area.
Question: What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in?
Rectangle Area Formula: [tex]Area[/tex] = [tex]width[/tex] × [tex]length[/tex]
[tex]A[/tex] = [tex]15.2[/tex] inches × [tex]5.05[/tex] inches
[tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]
~I hope I helped you :)~
34+35
yeah baby you gon need a seatbelt when I ride it
imma leave it open like a door come inside it
even tho imma wifey you can hit it like a sidechick
don't need no side **** no
you know dam well what 34+35 is...
70-1...
68+1....
aaaaaaaaand im gone bye
Answer:
69
Step-by-step explanation:
Got the neighbors yelling it's an earthquake,
4.5 when I make the bed shake
Put it down heavy even though it's lightweight
Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, negative 2) and (2, 0). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above and to the right of the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (2, 0). Everything above the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (3, 0). Everything above the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.
Answer:
D, or the last graph.
Step-by-step explanation:
I got it right when I was doing the assignment :)
From the information given regarding the graph, it should be noted that correct option about the graph of the system is D. On a coordinate plane, 2 dashed lines are shown.
What is a graph?It should be noted that a graph is a mathematical diagram which shows the relationship between two or more sets of numbers.
In this case, on a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.
Learn more about graphs on:
https://brainly.com/question/24372553
, Natasha worked 7 hours at a diner for $10 per hour last week. She also makes $8 per hour when she babysits. She wants $206 for a prom dress. Create an inequality to show how many hours she must babysit.
Answer: x ≥ 17
Step-by-step explanation:
We know that she worked 7 hours at a dinner, for $10 per hour last week.
Then in the last week, she did make:
7*$10 = $70
Now she babysits, she wins $8 per hour, then if she works x hours, she will win:
w(x) = $8*x
if we add the $70 that she already had, we have:
$70 + $8*x
And we know that she wants to have, at least, $206, then we can write the inequality.
$70 + $8*x ≥ $206.
Now let's solve this for x.
first, we can subtract $70 in both sides:
($70 + $8*x) - $70 ≥ $206 - $70
$8*x ≥ $136
now we can divide by $8 in both sides:
($8*x)/$8 ≥ $136/$8
x ≥ 17
This means that she must babysit for at least 17 hours if she wants to buy the dress.
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.
Answer:
i think point A ( -3 , 4)
(-3,4)
1. John Smith has a past due balance of $80 on his account. He called today to pay off his balance in full. You receive 25% commission of his payment to go toward your budget. What is your total commission received from John's payment?
Answer: $20
Step-by-step explanation:
From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.
Therefore, the total commission received from John's payment will be:
= 25% × $80
= 25/100 × $80
= 0.25 × $80
= $20
The commission is $20
Please helppppp!!!!!!!!
Answer: I think it's B
Step-by-step explanation: You can use the answer if you want.
HELP ME WITH THIS LINK PLS!!!!!!!
Answer:
B (x+7=19)
Step-by-step explanation:
We don't know Steve's age, so make his age=x. If his parrot is 19 years old and he's 7 years older than Steve, you would be adding 7 years onto Steve's age. So, to do that it would be x+7=19 or B!
please answers this
Answer:
shusidvxxosbsbzbz
Step-by-step explanation:
usjzkdofjfbf
Answer:
50 degree for X look at pic attached
Can I please get some real help on this question?
i need help with this, anyone wanna help?
Answer:
C
Step-by-step explanation:
Answer:
Given : A=(1,2)≡(x
1 ,y
1
) and B=(3,−2)≡(x
2
,y
2
)
Let M=(x,y) be the midpoint of AB
x=(
2
x
1
+x
2
) and y=(
2
y
1
+y
2
)
Then, x=
2
1+3
and y=
2
2−2
⟹x=2 and y=0
∴M=(2,0)
∴ Coordinates of the midpoint of AB is (2,0)
Step-by-step explanation:
A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds. What is the scuba divers rate of change?
Answer:
1 foot = 0.7 secs
Step-by-step explanation:
14 seconds divided by 20 feet = 0.7 seconds per foot descended.
Hope this helps and good luck :)
In rhombus ABCD , m∠EAB=27∘ .
What is m∠EBC ?
Answer:
27 degrees
Step-by-step explanation:
is the answer
GEOMETRY) Please solve for X! plspls
Step-by-step explanation:
so the answer is would be X = 15
PLZ HELP I TRIED LIKE 20 TIMES AND GOT IT WRONG
Answer:
(5نغنفنفتغن6نغنص7
76ق3332
54ىكللعغص3تةوعخو
What is 25% of 16.4?
Answer:
25/ 100 × 16.4 (25 and 100 is cancelled by 5)
5/20 × 16.4 ( 5 and 20 are cancelled by 5)
4 ÷ 1 6.4
The answer will be 4.1...
I hope this helped you..
How many solutions does the system have?
2x+3y=−6
3x−4y=−12
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The ratios of x- and y-coefficients are different, so the lines have different slopes. Lines with different slopes intersect at exactly one point. That point is the solution to the system of equations.
There is exactly one solution.
please help thanks in advance oh and also best answer gets brainliest
Answer:
third option
Step-by-step explanation:
The triangles have 2 pairs of congruent sides and 2 congruent included angles between the sides.
Thus
Δ ABC ~ Δ DEF by the SAS postulate
(x+5)(x-2) Expand and simpliy
Step-by-step explanation:
x(x-2) +5(x-2)
x² -2x + 5x -10
x² + 3x - 10
Answer:
the answer is x^2 + 3x - 10 I guess!
Step-by-step explanation:
This is an algebraic equation so-
What happens to the graph of f(x) when it is multiplied
by a negative number less than -1?
In figure below alb, m<1 = 78°, and m<2 = 47°.
Find measure of each angle.
Answer:
m∠3 = 102°
m∠4 = 102°
m∠5 = 78°
m∠6 = 133°
m∠7 = 47°
m∠8 = 47°
m∠9 = 133°
m∠10 = 102°
Step-by-step explanation:
Lines a and b are parallel and
m∠1 = 78° and
m∠2 = 47°
m∠3 = 180 - m∠1 = 180 - 78 = 102°
m∠4 = m∠3 = 102°
m∠5 = m∠1 = 78°
m∠6 = 180 - m∠7 = 180 - m∠2 = 133°
m∠7 = m∠2 = 47°
m∠8 = m∠2 = 47°
m∠9 = 180 - m∠8 = 180 - 47 = 133°
m∠10 = 180 - m∠1 = 102°
Select the best estimate of the product of 71 x 28 = ____ 1,300 2,100 3,200 4,500
Answer:
2100
Step-by-step explanation:
71 ->70
28 ->30
70 * 30 = 2100
I need help with that.
Answer:
x=6
Step-by-step explanation:
work is shown in picture
Help me please!!!!!!!
Answer:
yes
Step-by-step explanation:
that symbol means <= which means x is less than OR equal to 5/2