Given:
The lake started with only 4 square feet infected.
The bacteria are growing by a factor of 3 every hour.
To find:
The domain for this situation.
Solution:
Initial value = 4 square feet
Growth factor = 3
Using exponential growth model, we get
[tex]y=ab^t[/tex]
where, a is initial value and b is growth factor.
So, square feet of bacteria after t hours is
[tex]y=4(3)^t[/tex]
Here, domain is set of values of time and range is square feet of bacteria.
Above equation is defined for all values of t but we know that, time cannot be negative.
As the relationship between hours and square feet of bacteria is continuous, therefore the value of t can be any real number greater than or equal to 0.
[tex]Domain=\{t|t\in R\text{ and }t\geq 0\}[/tex].
Therefore, the domain is [tex]\{t|t\in R\text{ and }t\geq 0\}[/tex].
Which transformation(s) of circle C prove that circle A is similar to circle C ?
line K bisects HJ if H = (-1,5) and J = (2,-3) find the midpoint
Answer:
I(1/2;1)
Step-by-step explanation:
if the midpoint is I(x;y)
=> [tex]\left \{ {{y=\frac{5-3}{2}=1 } \atop {x=\frac{-1+2}{2}=\frac{1}{2} }} \right.[/tex]
=> I(1/2;1)
For the function f(x) = x + 2, find f-'(x).
[tex]f(x) = x + 2[/tex]
[tex]y = x + 2[/tex]
Subtract the sides of the equation minus 2
[tex]y - 2 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = x - 2 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Find the value of x so that f(x) = 7.
Answer:
-2
Step-by-step explanation:
A dime is what fraction of a dollar?
Answer:
1/10
Step-by-step explanation:
A dime is 1/10 fraction of a dollar.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.
We have to convert a dime into a fraction of a dollar.
Number of dimes in a dollar = 10
10 dimes = 1 dollar
1 dime = 1/10 dollar
So we can say that one dime is 1/10 of a dollar.
Hence 1/10 fraction of a dollar is 1 dime.
To learn more about Fractions, click on the link given below :
https://brainly.com/question/10708469
#SPJ2
The price of bananas went from $0.20 per lb to $0.60 per lb in four years. Find the rate of change of the price of bananas.
Answer:10¢ per year
Step-by-step explanation:every year that pass the bananas price rose by 10¢
-36 + |(-6) + (-31 - 12 + (-4)
Answer:
i don't know if you can make it to the thor or long or short and I can do it again soon and piece you up a little more about the finale of the final.
Answer:
-89
Step-by-step explanation:
Can I please get help with this?
Answer:
first problem) he messed up at 4(1 + 5n), only multiplying the 1 by 4, instead of both the 1 and 5n,
work-
-8n + 4(1 + 5n) = -6n - 14
-8n + 4 + 20n = -6n -14
12n + 4 = -6n - 14
18n +4 = -14
18n = -18
n= -1
second problem) he messed up towards the end, where he put 3x = 3x, then x=0. in this case, x would equal x, so the answer is "infinitely many solutions"
all the other work is correct in that problem
third problem) on the right side of the equation, ( 4x+10+3x-6), when they were adding the like numbers, instead of subtracting 6 from 10, they added 6, giving them 16 instead of 4
correct work-
2x - 8 + 3x +2 = 4x +10 + 3x -6
5x - 6 = 7x + 4
-5x -5x
-6 = 2x +4
-4 -4
-10 = 2x
-5 = x
hope i helped :)
Solve the equation for n.
5 = -4 + 27/n
Answer:
n=3
Step-by-step explanation:
Please help !!! Thanks :)
Answer:
reflection/////////
HELP! PLS ANSWER!!! 45 points!
Answer:
the answer is 24
Step-by-step explanation:
36 times 2x is 24
90+36=126
180-126=54
54/2=27
x = 27
Hope you enjoy it! :)
BRAINLEST IF ANSWERED CORRECTLY AND QUICKLY
)Which of these describes how children were treated differently from slaves in the Roman Republic?
Children could own property, but a slave's goods belonged to his master.
Children ate three meals per day, but slaves ate one meal per day.
Free children were allowed to vote, but adult slaves could not.
Male children could go to school, but male slaves could not.
Answer:
c
Step-by-step explanation:
c
hurry im taking an math summative
Answer:180 minus 79 is 101
Step-by-step explanation:
so the perimeter is 20 one side is y another is 4y-8 and slow the other one. what is the side lengths
Answer:
5
Step-by-step explanation:
y=4x-1
if the value of y is 1 what is x
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
So we are given the equation:
y = 4x - 1
and we are asked to find the value of x when the value of y is 1.
In other words, what is x when y = 1? To find this, we can plug in 1 for y and solve for x.
1 = 4x - 1
Now solve for x. Add 1 to both sides.
2 = 4x
Divide both sides by 4.
[tex]x=\frac{1}{2}[/tex]
So now we have found that when the value of y is 1, the value of x is 1/2.
I hope you find my answer and explanation to be helpful. Happy studying.
А
А
w
B
B
B.
Pair 1
Pair 2
Pair 3
1. Which transformation takes Figure A to Figure B in Pair 1: a translation, rotation, on
reflection? [Select)
2. Which transformation takes Figure A to Figure B in Pair 2: a translation, rotation, on
reflection? (Select ]
3. Which transformation takes Figure A to Figure B in Pair 3: a translation, rotation, on
reflection? Select ]
Answer:
see below
Step-by-step explanation:
Pair 1 is a rotation since we turn figure A into figure B
Pair 2 is a reflection since we flip figure A into figure B over a horizontal line
Pair 3 is a translation since we slide figure A into figure B by moving it down
i need 3,4 please help! it’s due in 10
mins !! 15
points just pls help
A theater owner wants to divide a 3300 seat theater into three sections, with tickets costing $ 60, $70, and $120, depending on the section. He wants to have twice as many $60 tickets as the sum of the other tickets, and he wants to earn $ 224,000 from a full house. Find how many seats he should have in each section.
Answer:
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
Step-by-step explanation:
Three sections
Section A cost = $60
Section B cost = $70
Section C cost = $120
Total seat = 3300
Total earnings = $224,000
He wants to have twice as many $60 tickets as the sum of the other tickets
A = 2(B + C)
A + B + C = 3,300
60A + 70B + 120C = 224,000
substitute A = 2(B + C)
2(B + C) + B + C = 3,300
60(2B + 2C) + 70B + 120C = 224,000
2B + 2C + B + C = 3,300
120B + 120C + 70B + 120C = 224,000
3B + 3C = 3,300 (1)
190B + 240C = 224,000 (2)
Multiply (1) by 80
240B + 240C = 264,000 (3)
190B + 240C = 224,000 (2)
Subtract the equations
240B - 190B = 264,000 - 224,000
50B = 40,000
B = 40,000 / 50
= 800
B = 800
Substitute the value of B into (1)
3B + 3C = 3,300 (1)
3(800) + 3C = 3,300
2,400 + 3C = 3,300
3C = 3,300 - 2,400
3C = 900
C = 900 / 3
= 300
C = 300
Substitute values of B and C into
A + B + C = 3,300
A + 800 + 300 = 3,300
A + 1,100 = 3,300
A = 3,300 - 1,100
= 2,200
A = 2,200
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
If i have 2 snickers and my friend takes one what would I have left?
A. 2
B. 1
c. All of the above
Answer:
1
Step-by-step explanation:
Ruth has already written 21 pages, and she expects to write 2 pages for every additional hour spent writing. How many hours will Ruth have to spend writing this week in order to have written a total of 29 pages? Write and solve an equation to find the answer.
Answer: 4 hours
Step-by-step explanation:
21+2x=29
29-21=8/2=4 2x/2
A car dealer paid $21,000 for a car and marked it up by 1/3 of the price he paid.How much did he sell the car for?
Answer:
$28000Step-by-step explanation:
Cost of the car = $21000
Mark up = 1/3*21000 = $7000
Sale price = 21000 + 7000 = $28000
Solve the equation for n
3(n-5) = -21
Answer:
n=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
3(n−5)=−21
Step 1: Simplify both sides of the equation.
3(n−5)=−21
(3)(n)+(3)(−5)=−21(Distribute)
3n+−15=−21
3n−15=−21
Step 2: Add 15 to both sides.
3n−15+15=−21+15
3n=−6
Step 3: Divide both sides by 3.
Answer: n= -2
Step-by-step explanation:
3(n−5)=−21
Divide both sides by 3.
n−5=
3
−21
Divide −21 by 3 to get −7.
n−5=−7
Add 5 to both sides.
n=−7+5
Add −7 and 5 to get −2.
n=−2
The figures are similar. Find the missing length.
Step-by-step explanation:
Answer:-Given ,The figure is Similar.
Observation:-
Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.
We have :-
5+3=8 as similar sides.
So, applying same algorithm,
[tex]y + 3 = 5[/tex]
[tex]y = 5 - 3[/tex]
[tex] \boxed{ \tt{y = 2 \ cm}}[/tex]
is the answer.
Hope it helps :)
Candance ate 2/3 cup of cereal.The box of cereal states that one serving of cereal is equal to 2/3 cup. Which fraction represents the number of servings Candance ate?
Answer:
9/8
Step-by-step explanation: Done the problem before in my math class.
Answer:
9/8
Step-by-step explanation:
Candance ate 3/4
Serving is 2/3
Divide: 3/4 divided by 2/3
To divide fractions you multiply the inverse.
3/4 x 3/2 = 9/8
Hope this helps :)
Help needed ASAP will give you BRAINLIEST and 5 stars
Answer:
y-x
Step-by-step explanation:
Answer:
Y=-x
Step-by-step explanation:
Because any other ones have stuff they should.
Lou wants to lose weight to audition for a part in a play. He weighs 160 pounds now. He wants to weigh 150 pounds. If p represents the number of pounds he wants to lose, write an equation to represent this situation.
Answer:
160-p=150
Step-by-step explanation:
160 now - needs to lose = 150 goal
will somebody help me with this question 9 x 3/4
Answer:
Improper way: 27/4
Mixed number: 6 3/4
Step-by-step explanation:
To make it easier, put a 1 under the 9. So you get 9/1.
It should look like this: 9/1 x 3/4
Then simply multiply 9 and 3 then 1 and 4.
You get 27/4!
What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (-6, 5)?
O Y=2/3x+9
O y=-3/2x-4
O y=-3/2x-13
O y=2/3x-1
Answer:
Option 2, y=-3/2x-4
Step-by-step explanation:
Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.
First, we need to rewrite the original equation into standard form.
2x-3y=13
-3y=13-2x
y=-13/3+2/3x
From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.
Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).
y-(5)=-3/2(x+6)
y-5=-3/2x-9
y=-3/2x-4
And to check, we can just plug the coordinates into our new equation:
Check:
(5)=-3/2(-6)-4
5=9-4
5=5
Answer: B on edg
Step-by-step explanation:
trust me
Simplify: (2x - 5y)(7x-2y)
help plz
Answer:
14x+10y
Step-by-step explanation:
(2x-5y)(7x-2y)
(2x*7x)(-5y*-2y)
Bo has 56 cards.
What are two ways Bo can stack her cards?
Choose 2 answers:
~ 7 stacks of 8 cards
® 9 stacks of 6 cards
C С
8 stacks of 7 cards
D
6 stacks of 9 cards
Answer:
c
Step-by-step explanation:
