In a laboratory experiment, the population of bacteria in a petri dish started off at
2600 and is growing exponentially at 13% per day. Write a function to represent the
population of bacteria after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.
Answer:
See belowStep-by-step explanation:
Daily growth rate is 13% with initial values of 2600 bacteria.
The equation is:
[tex]f(t) = 2600*( 1 + 0.13)^t=2600*1.13^t[/tex]Find the hourly rate x considering 1 day = 24 hours:
[tex]2600*1.13^{t/24}=2600*x^t[/tex][tex]ln 1.13^{t/24}=ln x^t[/tex][tex]ln1.13^{1/24}=lnx[/tex][tex]x=1.13^{1/24} =1.0051[/tex]Percentage rate of change per hour is:
0.51%?
11.9 cm
9.1 cm
-oblem
Two side lengths of a triangle are shown above. What could be the measurement of the missing side length? (choose 2)
A 20.3 cm
B22.4 cm
C 2.6 cm
D14.6 cm
E 25 cm
Answer:
14.98cm
Step-by-step explanation:
Just using the pythagorean theroem
A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?
45/8 or 5 5/8
5/8 divided by 1/9 - 5/8 x 9/1
simplify ; 4m + 2m - m +2m - 2m
Hello there! :)
4m+2m-m+2m-2m
We can see that 2m-2m cancel out:
4m+2m-m
Now just add all the m's:
6m-m
5m
Hope this helps! :)
[tex]GraceRosalia[/tex]
Step-by-step explanation:
[tex]\mapsto 4m+2m-m+2m-2m\\\\\mapsto 4m+2m+2m-m-2m\\\\\mapsto 8m-3m\\\\\dashrightarrow 5m[/tex]
4. Elias was asked to solve a quadratic equation by factoring and his work is shown below. Circle the letter of the step where he has made an error. Then redo the work correctly from that point, using the shaded space. 4 points possible Given x2 – 12x = -20
Аx2 - 12x + 20 = 0
B(x - 4)(x – 5) = 0
С x-4 = 0 OR x-4 = 0
D x = 4 or x = 5
Answer:
(B) (x - 4)(x – 5) = 0Step-by-step explanation:
He made a mistake at step 2.
(x - 4)(x - 5) = 0 is incorrect asit is same as x² - 9x + 20 = 0
It should be:
(x - 10)(x - 2) = 0 with the end result x = 10 or x = 2Let's solve
[tex]\\ \sf\longmapsto x^2-12x=-20[/tex]
[tex]\\ \sf\longmapsto x^2-12x+20=0[/tex]
[tex]\\ \sf\longmapsto x^2-10x-2x+20=0[/tex]
[tex]\\ \sf\longmapsto x(x-10)-2(x-20)=0[/tex]
[tex]\\ \sf\longmapsto (x-10)(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=10\:or x=2[/tex]
Option B
The value of c varies directly with y, and when x=1/3, y=5
Write an equation to represent the direct variation
Find the value of y if x=-2
PLS HELP
Answer:
-3/10
Step-by-step explanation:
y = k/x
5 = 3k
k = 3/5
y = 3/5x
y = 3/5(-2)
= 3/-10
= [tex]-\frac{3}{10}[/tex]
Feel free to mark this as brainliest! :D
30) x/4 = 9
31) a/5 = 7
32) n/3 = 29
33) n/3 = 10
34) y/5 = 24
35) b/9 = 15
36) n/7 = 17
37) x/3 = 8
38) y/5 = 33
39) e/36 = 5
40) a/25 = 4
41) b/16 = 7
Answer:
30). x=36
(31). a=35
32. n=104
33. n=30
34. y=120
35. b=135
Step-by-step explanation:
x/4=9
cross multiply
x=4×9
x=36
a/5=7
cross multiply
x=5×7
x=35
(repeat thesame steps over and over)
Solve correctly for brainliest
Answer:
hope you like my answer is 75a²xy⁴
Answer:
See below.
Step-by-step explanation:
5x^2 y a y
3a y x^2
Can be written as:
5x^2 y^2 a + 3a y x^2
Add like terms:
5ax^2y^2 + 3ax^2y
The sum is 5ax^2y^2 + 3ax^2y
The sum has more than one term, so the sum is not a monomial.
For detailed, step-by-step explanations you can visit my fiverr account: kesja_
I provide detailed explanations for math questions for as little as $1!
The sum of a number and twice its reciprocal is 3. What are the numbers?
Let no be x
Acc to ques
X + 2(1/x) = 3
X + 2/x = 3
X^2 + 2 = 3x
X^2 - 3x + 2 = 0
X^2 - x - 2x + 2 = 0
X (x-1) - 2 (x-1) = 0
(x-2) (x-1) = 0
X= 2 or x =1
If this answer was helpful then please mark it as the brianliest
A beverage company advertises that they have increased their bottle size to 14.4 ounces, which is 20% more than the original size. What is the original size of the bottle
Answer: Original size= 14.4 ounce x 100/120
=12 ounce
Answer:
the answer is 12
Step-by-step explanation:
please see solution picture
T/7=3 what’s the answer?
Answer:
t=7x3
t=21
Step-by-step explanation:
hope this helps you!!!
Answer:
21
Step-by-step explanation: T/7= 3 so t= 7×3= 21
21÷7=3
I need theses answer quick please! (will mark brainliest)
determine whether each pair of ratios are equivalent ratios.
1. 8/9, 72/81
2. 3/14, 21/98
3. 12/17, 50/85
Answer:
1. Equivalent
2. Equivalent
3. Not equivalent
Step-by-step explanation:
So basically for all of them you need to find a multiple for the numerator of the first fraction to see if it equals the numerator of the second fraction, and same goes for denominator.
For the first one, 8*9 is 72, and you must multiply the denominator with the same number you multiplied the numerator with, so 9*9 is 81, so it is equivalent.
Name two obtuse angles
Answer:
more than 90° or less than 180°
If the angles forming a linear pair are 4:5, then values of these angles are :
Answer:
the total angle in linear pear is 180°
let the angles be 4x and 5x
4x+5x=180°
9x=180°
X =20°
again
4x=4×20°=80°
5x=5×20°=100°
Nine less than four times a number is the same as nineteen
Answer:
x= 7, the number is 7
Step-by-step explanation:
4x-9= 19
Add 9 to both sides4x=28
Divide each side by 4x=7
Answer:
4x - 9 = 19
Step-by-step explanation:
We can represent 4 times any numbers as 4x.
Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.
They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.
Find the missing dimension of the prism. Volume = 532 in. 3 19 in
The required width of the rectangular prism is 16in.
What is a rectangular prism?
A rectangular prism is a three dimensional shape , that has six faces. The shape of a rectangular prism is just a cuboid shape.
Use the formula of volume of a cuboid since a rectangular prism is in the shape of a cuboid. The volume of a cuboid is V= length×breadth×height.
Given that, The volume of prism V=[tex]532 in^{3}[/tex]
The length of prism , L= 19in.
The height of prism [tex]H=1\frac{3}{4}=\frac{7}{4}[/tex].
The width, W=?
The rectangular prism has volume V=Length×Height×Width.
Therefore, 532=19×(7/4)×W
So, 532×4=19×7×W
Thus, (532×4)/(19×7)=W
Therefore, W=16in.
Thus, the width of the rectangular prism is 16in.
To learn more about volume click here:
https://brainly.com/question/25038935
#SPJ2
Helppp please I will mark brainiest
Answer:
number 1
Step-by-step explanation:
read the qeustion again
How do you do Geometry the right way and what is the best way to remember how to do it?
Step-by-step explanation:
To understand geometry, it is easier to visualize the problem and then draw a diagram. If you're asked about some angles, draw them. Relationships like vertical angles are much easier to see in a diagram; if one isn't provided, draw it yourself.
what is the sum of -10 and 6?
Answer:
16
Step-by-step explanation:
10+6=16 sheeesh
Answer: -4
Step-by-step explanation:
Count back 6 times from -10 towards 0.
SOMEONE HELPPP PLZ!!!
3(18-7)+2 using the order of operations
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Order of Operations = PEMDAS
IN ORDER:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Problem: 3(18-7)+2
Step 1: 3X18=54 3X-7= -21
Step 2: 54-21+2
Heathers rabbit has a mass of 5.190 kilograms. Jeff's rabbit has a mass of 5.195 kilograms.Write and inequality statement comparing the masses of the rabbits
Answer:
5.190 < 5.195
Step-by-step explanation:
5.195 is bigger than 5.190, so 5.195>5.190
The win to loss ratio for baseball is 5:6. For numbers 2a-2d, circle YES or NO to indicate whether each total number of wins, losses, or games is possible for the baseball team
PLEASE HELP
The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice
that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per
gallon. How much of each juice does she use?
;#+#+£-;#;#;_£ajqjjqw
Step-by-step explanation:
2
Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's profits after eight years? (2 points)
$38,383.50
$45,341.60
$31,379.67
$44,755.20
Answer:
B. $45341.60Step-by-step explanation:
Given:
Initial profit = $37800Rate of appreciation = 2.3% per yearThe equation for this:
[tex]P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t[/tex]Find the value of P(8):
[tex]P(8) = 37800*1.023^8 = 45341.60[/tex]Correct choice is B
The perimeter of a rectangular window is 264 cm. If the width of the window is 56 cm what is its length. *
Answer:
76 cm.
Step-by-step explanation:
56 times 2 is 112
264-112=152, divide by 2
152/2=76
Answer:
76 cm
Step-by-step explanation:
Perimeter is the sum of all sides of a rectangle. It can also be thought of as 2 times the width plus 2 times the width.
[tex]P=2L+2w[/tex]
Rearranging to solve for length:
[tex]2L=P-2w[/tex]
[tex]L=\frac{P-2w}{2}=\frac{264-2(56)}{2}=\frac{152}{2}=76[/tex]
The length is 76 cm.
when 4a - a x 3a + 7a is simplified it is equivalent to?
Answer: -3a^2 + 11a
Step-by-step explanation:
4a - (a x 3a) + 7a - Multiply first to get 4a - 3a^2 + 7a
4a - 3a^2 + 7a - Add like terms (a terms) to get -3a^2 + 11a
So the answer in -3a^2 + 11a
guys pls help me!!!!!!
Answer:
128 degrees
Step-by-step explanation:
Angles on a straight line equals 180⁰
180⁰-52⁰=128⁰
Name two pairs of congruent angles
Answer:
∠JKL and ∠GKH
Step-by-step explanation:
1. Because these intersecting lines are forming opposite pairs of angles, there are some vertical angles. Vertical angles are congruent.
2. As you can see, ∠JKL is 55°. The angle that forms the pair of opposite angles with ∠JKL is ∠GKH.
3. As aforementioned, because these two angles are vertical angles, they're congruent.
Therefore, two pairs of congruent angles are ∠JKL and ∠GKH.
please someone helpppppp im giving brainliest!
Answer:
A
Step-by-step explanation:
The order of operations, or PEMDAS, is used like so:
Parentheses
Exponents
Multiply
Divide
Add
Subtract
exponents are the second step of the order of operations
Answer:
The 2nd step i think I'm not totally sure.
Step-by-step explanation: