A certain bacteria multiply exponentially at a rate of 8% per day. If 2 bacteria exist initially, how many
will be present after 25 days?
Answer:
After 25 days will be present about 13.70 ≅ 13 bacteria
Step-by-step explanation:
The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where
a is the initial valuer is the rate in decimal∵ A certain bacteria multiply exponentially at a rate of 8% per day
→ Assume that y is the number of bacteria, x is the number of days
∴ r = 8% = [tex]\frac{8}{100}[/tex] = 0.08
∵ 2 bacteria exist initially
∴ a = 2
→ Substitute them in the form of the equation above
∵ y = 2 [tex](1+0.08)^{x}[/tex]
∴ y = 2 [tex](1.08)^{x}[/tex]
∵ x = 25
→ Substitute x in the equation by 25
∴ y = 2 [tex](1.08)^{25}[/tex]
∴ y = 13.69695
∴ After 25 days will be present about 13.70 bacteria
Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.
The points (3,-2) and (2,1) are both solutions to which inequality
I’m pretty sure I know the answer but I just wanna check myself, thanks :)
need helppp on this question!!
OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH?
I REALLY NEED HELP PLS!
:3
Answer:
The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.
Step-by-step explanation:
Now that i wrote this passage you have to figure out which one it is
Guysss I need y’all help . Can yalll please help meee ASAP !!!!
Answer: the answer is b
Step-by-step explanation:
Answer: B.63
Step-by-step explanation: OK so if angle VKQ is 153, then angle DKJ also has to be 153 because of vertical angles. Then we know that angle MKJ is 90, so angle DKM is angle DKJ. Minus 90. 153-90=63.
10 lbs to 6 lbs need percentage
please give step by step
Answer:
10ibs=1000% 6ibs=600%
Step-by-step explanation:
I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy
Answer:
10 tshirts or 5 sweatshirts
Step-by-step explanation:
One t-shirt + one sweatshirt = $30.
We know that $100 ÷ $30 = 3 times with $10 left over.
This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.
what is first the statement or proportion
Answer: the first statement is a ratio or fractions that are equale
HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?
Answer:
11
Step-by-step explanation:
a shoe store was sells 2 pairs of shoe for $25.10.how much it would cost to buy 7 pairs of shoes?
Answer: 87.85 dollars to buy 7 pairs
can someone please help me thank you
Answer:
Neither of the students are correct.
Step-by-step explanation:
Sarah:
P = 3x + x +7 + 3x + x +7 ..... this first step is correct
= 6x + 14 .... this step is incorrect, Sarah forgot to add the other 2 xs
John:
P = 2(x + 7) + 2(3x)
= 2x + 7 + 6x .... this step is incorrect, John forgot to distribute the 2 to the 7
= 8x + 7 .... incorrect because of the previous step
The answer should've been 8x + 14.
If a line has a rise of 2 and a run of 2, what is its slope
Answer:
It's a positive slope it's not going down it's going up every time you go up to you go over to making it a positive slope
Step-by-step explanation:
The ratio of boys and girls in Mrs specks s class is 2 of 3 There is 18 girls what is the total number of students in Mrs.specks class HELP PLZ I WILL GIVE YOU THE BBRAINLYEST
Answer: 30 students in total
Step-by-step explanation: 2x+ 3x is 5x right. The 18 girls are the 3x. That means the 6 people is 1x. If there are 5 x people in total that means that there are 30 students
Amelia rented a dvd and it was due to be returned on 26 november
she actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?
Anyone help please!!!!!
Answer:
Step-by-step explanation:
I'm not familiar with the conversions from American dollars. I can help you solve it though.
Count how many days from Nov 26 to Dec 26 and multiply that by 9p.
It's 30 days by 9p. Take that total and convert it.
Hopefully this helps you.
Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵
Answer:
1. 27y^3
2. 32c^5
3. 16m^4
4. 64g^3
5. 49j^2
6. -3125z^5
Step-by-step explanation:
Can you help answer my question too, please?
Help please by slope and y- intercept
Answer:
Slope = -3/4Y - intercept = -3Step-by-step explanation:
y = mx + b
mx = slope
b = intercept
1. Simplify the equation
4y = -3x - 12
2. Divide both sides by 4
y = -3/4 x - 3
3. Make a graph
First start at the y-intercept, (0, -3)*
Then, use the pattern -3/4
It is called rise over run.
But, when the slope is negative you have to go down instead of up. So you have to go down 3 and 4 to the right.
Continue that pattern until you get your result.
But when you have to go to the upper part of the graph go up 3 and over 4 to the left.
Continue this pattern.
This also applies to other graphs.
* = remember a y-intercept always has a 0 as the x - coordinate.
Hope this helped,
Kavitha
Is f(x)=5x and g(x)=x/5 inverse of each other?
Answer:
Yes it is!
Step-by-step explanation:
What is the value of 12 (2b-4) when b=16
Answer:
this is the answer
Step-by-step explanation:
[tex]12(2(16) - 4) =336 [/tex]
336
Step-by-step explanation:
12(2×16-4) =12(32-4)=12×28=336
A password contains eight digits. How many different passwords can be formed?
Now lets assume you use a stronger password with a mix of lowercase and uppercase characters, such as "blUeFisH", then the character set is 52. In this case, there are 52^8 possible combinations of 8 character passwords. So, to break an 8 character password, it will take (1.7*10^-6 * 52^8) seconds / 2, or 1.44 years.
Can you please help me solve for the area
Answer:
area is equal to 198 cm^2
Step-by-step explanation:
the height h of the left triangle can be obtained by
Pytagoras theorem:
[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]
the, the area of the left triangle is
[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]
the area of the right triangle is
[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]
and the area of the rectangle in the middle is
[tex]A_3=(13)(12)\\A_3=156[/tex]
Por tanto, el area total sera
[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]
For all x in the domain of the function (x+1)/(x^3-x) this func-
tion is equivalent to
Answer:
The function is equivalent to
[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]
Let us simplify this function
[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]
[tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex] ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]
Cancel the common factor (x+1)
[tex]=\frac{1}{x\left(x-1\right)}[/tex]
Therefore, the function is equivalent to
[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]
Answer:
wrong
Step-by-step explanation:
3x = 8
3x + y = 15
???
Write an expression that represents the number of videos Charli will have in w weeks.
6x^2-19x+3=0
Find both of the x
Find each missing measurement of the angle, and determine the name of the angle
Answer:
the first one is 101 degrees
the second one is 106 degrees
the third one is 106 degrees
Step-by-step explanation:
Answer:
1. x = 101, x is an opposite interior angle
2. x = 106, x is an opposite interior angle
3. x = 106, x is a same-side interior angle
Eighteen less than 9 times a number is the same as 14 more than the number.
Comply the equation
Answer:
x=4
Step-by-step explanation:
9x-18 = x+14
9×-× = 14+18
8× = 32
X = 4
PLEASE
Solve for x and y by graphing the system of linear equations.
y=-7/2x+3
y=-3/2x-1
Answer:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Step-by-step explanation:
hope its right
What is 48 square feet in square meters
Answer: 4.45935
Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.
Ali has a collection of 177 snap-together building blocks. Ali has one fourth as many red blocks as blue blocks, half as many white blocks as black blocks, an equal number of black and blue blocks, and 34 miscellaneous blocks of other colors. How many red blocks does Ali have?
Help me plz!
Answer:
The number of red blocks Ali has is 13 red balls
Step-by-step explanation:
The given parameters are;
The number of snap-together building blocks Ali has = 177
The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has
The number of white blocks Ali has = 1/2 × The number of black blocks Ali has
The number of black blocks Ali has = The number of blue blocks he has
The number of miscellaneous blocks Ali has = 34
Let x represent the number of blue blocks Ali has, therefore, we have;
The number of red blocks Ali has = 1/4 × x
The number of black blocks Ali has = The number of blue blocks = x
x = 1/2 × The number of white blocks Ali has
∴ The number of white blocks Ali has = 2·x
The number of known colored blocks Ali has = 177 - 34 = 143
Therefore, we have;
x + 1/4·x + x + 1/2·x = 143
11/4·x = 143
x = 143 × 4/11 = 52
Therefore, the number of blue blocks Ali has = x = 52 blue balls
The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has = 1/4 × 52 = 13
The number of red blocks Ali has = 13 red balls.