To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has
increased by 7.2%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
PLEASE HELP :)
Answers
Answer: [tex]y= 2300(1.072)^t[/tex]
Step-by-step explanation:
The exponential growth equation : [tex]y=A(1+r)^t[/tex] , where A=initial value, r= rate of growth , t= time.
Given: A = 2300, r= 7.2% = 0.072
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
then, the exponential function showing the relationship between y and t will be:
[tex]y= 2300(1+0.072)^t\\\\\Rightarrow\ y= 2300(1.072)^t[/tex]
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Answer:
32y
Step-by-step explanation:
take off the y then do the equation -8×4=32 then put the y back on an theres your answer
If ab and cd are congruent what is the measure of
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Answer:
25°
Step-by-step explanation:
the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.
if a system of linear equations has infinitely many solutions, what does this mean about the two lines?
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this is the question
Answers
Hey there!
The answers to your question are C, D, and E
If there are repeats in the X column, then it's not a function. If there are no repeats, then it is! If there are repeats in the Y column, that's ok, but there cannot be repeats in the X column.
Hope this helps! If you need any other help, just tell me!
slope = -5, y - intercept = 1
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Answers
Answer:
y=-5x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope
b is the y-intercept
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Answer:
it is 10
Step-by-step
Jamal buys 33 bolts that cost $0.38 each.
Part A
Which equation represents the best estimate for the total cost of all of the bolts?
Answers
Answer: Jamal buys 33 bolts that cost $0.38 each.
Which equation represents the best estimate for the total cost of all of the bolts?
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Step-by-step explanation: $0.40 × 30 = $12 searched it up
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Step-by-step explanation:
because 33×0.38= $12.54
Given f(x)=5/2x+7,if f(x)=-13 find x
pls show work
Answers
Answer:
x=-25.5
Step-by-step explanation:
5/2(-13) +7=-25.5
Answer:
The value of x = -1/8
Step-by-step explanation:
Given
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
[tex]f(x)=-13[/tex]
To determine
The value of x = ?
Using the function
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
substituting f(x) = -13 in the function
[tex]-13=\frac{5}{2x}+7[/tex]
Subtract 7 from both sides
[tex]-13-7=\frac{5}{2x}+7-7[/tex]
Simplify
[tex]-20=\frac{5}{2x}[/tex]
Multiply both sides by 2x
[tex]-20\cdot \:2x=\frac{5}{2x}\cdot \:2x[/tex]
Simplify
[tex]-40x=5[/tex]
Divide both sides by -40
[tex]\frac{-40x}{-40}=\frac{5}{-40}[/tex]
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Therefore, the value of x = -1/8
Point G has coordinates (-4,7) and point H has coordinates (3,0)
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Answer:
there is no answer to that
Step-by-step explanation:
what do you mean by that.
The area of a rectangle is 226.2 m2. If the length is 15m, what's the perimeter of the rectangle ?
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Answer: P=60.16m
Step-by-step explanation:
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Answer:
80 degrees
Step-by-step explanation:
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Answer:
b 15% light green is the correct answer
Answer:
D - 12.5%
Step-by-step explanation:
Please mark me brainliest
derivative by first principle logsecx²
Answers
Answer:
[tex]\displaystyle \frac{d}{dx}[\log \big( \sec (x^2) \big)] = \frac{2x \tan x^2}{\ln 10}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \log \big( \sec (x^2) \big)[/tex]
Step 2: Differentiate
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Unit: Differentiation
A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be needed to make this recipe for 300 people?
Answers
Answer:
4 bags
Step-by-step explanation:
50 people = 4 cups
300 people = 24 cups
24 cups ÷ 6 cups a bag = 4 bags
The bags of sugar that will be needed to make this recipe for 300 people will be 4 bags.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
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⇒ 24 / 6
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More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Answers
Answer:
148 degrees
Step-by-step explanation:
2 Remote interior angle added to one another equals the measure of the exterior angle
44+104=148
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A.
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B.
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C.
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D.
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Answers
Father
Step-by-step explanation:
Hhhh
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
ayooo can somebody help me with my sister's homework?
Answers
Answer:
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Step-by-step explanation:
y = mx + b
m = slope
b = the y-intercept
To find the slope we can do rise over run or y/x
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To find the y-intercept, is where the line hits the y axis which is at.....
3
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y = 1/2x + 3
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Step-by-step explanation:
the answer is D because the line starts and three and rises 1 and over 2. its not negative because the line goes up
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Answer:
A, C, F
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Answers
Answer:
y = -31/5
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Step 1: Define Systems
y = 2x - 7
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Answers
Answer:
$17.20
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Answers
Answer:
Simplify the expression
16m+2y+1
Find the length of the third side to the nearest tenth
7
1
Answers
Answer:
10.7
Step-by-step explanation:
A. 5°
B. 35°
C. 31°
D. 7°
Answers
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is the volume increasing when the radius of the base is 3 ft and is increasing at a rate of 3 in/min
Answers
Answer:
The volume is increasing at a rate of 16286 in³/min.
Step-by-step explanation:
a) The volume of a cone is given by:
[tex] V = \frac{1}{3}h\pi r^{2} [/tex]
Where:
r: is the radius
h: is the height
The rate of change of the volume can be calculated by using the chain rule:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]
Since h = 4/3 r we have:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex] (1)
With:
[tex]\frac{dr}{dt}[/tex] = 3 in/min
[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]
And by entering the above values into equation (1) we have:
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]
[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]
Therefore, the volume is increasing at a rate of 16286 in³/min.
I hope it helps you!