if the bacteria population is doubling every hour, can you estimate the bacteria population at the time of 10 hours?
Answers
Answer:
Bacterial population at the time of 10 hours = 1040000
Step-by-step explanation:
Let the function that defines the bacterial population after 'x' hours is,
p(x) = a(b)ˣ
Where a = Initial population
And 'x' = Duration or time
Since bacterial population is getting doubled every hour,
2a = a(b)¹
b = 2
Therefore, function will be,
p(x) = a(2)ˣ
From the graph attached,
Point (5, 32500) lies on the graph of the function.
32500 = a(2)⁵
a = [tex]\frac{32500}{32}=1015.625[/tex]
Therefore, the function will be,
p(x) = 1015.625(2)ˣ
For x = 10 hours,
p(10) = 1015.625(2)¹⁰
= 1040000 bacteria
Related Questions
What is the total number of quarts of iced tea that can be made with 24 tea bags?
А
5
B6
8
Answers
Answer:
Answer is 18
Step-by-step explanation:
OK please follow me friends
That’s what I think
What would be the slope for y=-7x + 2
Answers
Answer:
-7
Step-by-step explanation:
Hello!
This equation is in slope intercept form. The base equation is
y - mx +b
m is the slope
b is the y-intercept
Since -7 is in place of m -7 is the slope
The answer is -7
Hope this helps!
Answer:
-7x
Step-by-step explanation:
The formula for slope is y=mx+b, m being slope. And in the equation y=-7x+2, -7 is taking the place of m. Therefore, -7x is the answer.
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
Answers
Answer:
1). |(-3) - 8|
2). 11 units
Step-by-step explanation:
If the given numbers are 'x' and 'y', distance between these numbers will be represented by the absolute value expression,
Distance = |x - y|
Given numbers are (-3) and 8.
Therefore, expression for the distance between these points will be,
Distance = |(-3) - 8|
Distance between these points will be = 11 units
in a lottery there are 10 prizes and 25 blanks what is the probability of getting prizes
Answers
Answer:
P(prize)= 2/7
Step-by-step explanation:
The probability of getting a prize can be found by dividing the number of favorable outcomes by the total number of outcomes.
P (prize) = favorable / total
The favorable outcome is a prize and there are 10 prizes.
P (prize) = 10 / total
There are 10 prizes and 25 blanks. Add 10 and 25.
10 prizes + 25 blanks= 35 total outcomes
P (prize)= 10/35
This fraction can be simplified. Both the numerator and denominator can be evenly divided by 5.
P(prize)= (10/5) / (35/5)
P(prize) = 2 / (35/5)
P(prize)= 2/7
The probability of receiving a prize is 2/7
What is the domain of f?
Answers
Answer:
[tex]\huge \boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for the value of x.
The denominator in a rational function cannot equal to 0.
[tex]x+2\neq 0[/tex]
Subtracting 2 from both sides.
[tex]x\neq -2[/tex]
The domain of the function is all real numbers except -2.
Evaluate the expression when b= 2 and c = -2 -b+2c
Answers
Answer:
- 6
Step-by-step explanation:
Given
- b + 2c ← substitute b = 2 and c = - 2 into the expression
= - 2 + 2(- 2)
= - 2 - 4
= - 6
A hot-air balloon, headed due east at an average speed of 15 miles per hour at a constant altitude of 100 feet, passes over an intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection 1 seconds later.
Answers
Answer:
The distance is [tex]sqrt{10000+484t^2}[/tex]
Step-by-step explanation:
Given that,
Altitude = 100 feet
Average speed = 15 miles/ hour
We need to calculate the speed in feet/sec
Using formula for speed
[tex]v=15 miles/hour[/tex]
[tex]v=15\times 1.46667\ ft/sec[/tex]
[tex]v=22\ ft/sec[/tex]
We need to calculate the distance in t sec
Using formula of speed
[tex]v =\dfrac{d}{t}[/tex]
Put the value into the formula
[tex]22=\dfrac{d}{t}[/tex]
[tex]d=22t[/tex]
According to figure,
We need to calculate the distance
Using pythagorean theorem
[tex]AC=\sqrt{(AB)^2+(BC)^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{100^2+(22t)^2[/tex]
[tex]d=\sqrt{10000+484t^2}[/tex]
Hence, The distance is [tex]sqrt{10000+484t^2}[/tex]
is -|-4| = |-(-4)| the same?
Answers
Answer:
no the first one is -4 and the other one is positive 4
Answer:Yes
Step-by-step explanation:
Just take away the (4)
pls help me .question no 14
Answers
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
==================================================
Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
-------
We have the two equations x+y = 180 and y+z = 180 to form this system of equations
[tex]\begin{cases}x+y = 180\\y+z = 180\end{cases}[/tex]
Which is really the same as this system
[tex]\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}[/tex]
The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
What is the inverse function of f(x) = x/x-2
Answers
Answer:
The answer is:
y = x/x −2
Answer:[tex]f^{1}=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
Write f(x) =x/x-2 as an equation
[tex]f(x)=\frac{x}{x-2}[/tex]
Interchange the variables
[tex]x=\frac{y}{y-2}[/tex]
solve for y, multiply equation by y-2.
[tex]y=\frac{2x}{x-1}\\[/tex]
replace y with [tex]f^{1}[/tex](x)
you get the above answer.
Does anyone know this?
Answers
Answer:
f(x) = -x^2 + x + 13 find f(9) = -59
Hope this helps :)
Answer:
f(9)= -59
Step-by-step explanation:
First, put 9 into x; which gives you...
f(9)= (-9)^2+9+13
f(9)= -81+9+13
f(9)= -59
If a base is negative, how will you know whether the answer is positive or negative before evaluating it?
Answers
Answer:
Explained below.
Step-by-step explanation:
Assuming that the question is related to exponents.
Consider the expression: [tex]a^{b}[/tex]
Here,
a = base
b = exponent
Consider that the value of base is a negative term.
Then an even exponent will give a positive result.
And an odd exponent will give a negative result.
Consider the following values of b and suppose that a = -x.
For b = 4,
[tex]a^{b}=(-x)^{4}=(-x)\times (-x)\times (-x)\times (-x)=x[/tex]
For b = 3,
[tex]a^{b}=(-x)^{3}=(-x)\times (-x)\times (-x) = -x[/tex]
Answer:
Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.
Step-by-step explanation:
PLEASE HELP GUYS!!! WILL GIVE BRAINLY! Trapezoid JKLM is shown on the coordinate plane below: If trapezoid JKLM is translated according to the rule (x, y) → (x + 5, y − 4), what are the coordinates of point L'? (4 points)
(3, −3)
(1, −6)
(8, −6)
(−1, 3)
Answers
hope this helped!:)
It is the parallelogram that has its unequal contiguous sides and the four right angles. A) Square B) Rhombus C) Rectangle D) Rhomboid
Answers
Answer:
Rhomboid is the parallelogram that has its unequal contiguous sides and the four right anglesHope it helps you Mark it as brainliest and follow me My account you can see here below (hardik 60)How many solutions does the system have?
2y = 4x + 6
y=2x + 6
Choose 1 answer:
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answers
Answer:
the answer should be no solution.
which inequality does the graph represent?
Answers
Answer:
I believe the answer is B.
Step-by-step explanation:
Explanation:
+ 1 is the y-intercept
-x is the slope where it rise one and run to the left one (1/-1)
Find the product. √5(2+√7)
A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35
Answers
Answer:
A. 2√5 + √35
Step-by-step explanation:
Product means multiplication
√5(2+√7)
= 2 × √5 + √5 × √7
= 2√5 + √35
Option A is correct
B. √45
√5(2+√7)
=√5 * 2 + √5 * √7
=√10 + √35
=√45
Option B is incorrect
C. 2√5 + 2√7
√5(2+√7)
=2√5 + 2√7
Option C is incorrect
D. √10 + √35
√5(2+√7)
=√5 * 2 + √5*√7
=√10 + √35
Option D is incorrect
A solid cylinderical metal is melted and recast into cubes of metal of side 3cm. The base radius of the initial cylinderical metal is 10.5cm and height is 63cm.How many cubes will be made
Answers
Answer:
808
Step-by-step explanation:
First find the volume of the original cylinder. It is given by πr²h:
π * (10.5)² * 63 ≈ 21820.717 cm³
Next find the volume of each cube. It is given by lwh:
3 * 3 * 3 = 27 cm³
Finally, divide the volume of the original cylinder by the volume of each cube to determine the number of cubes:
21820.717 / 27 ≈ 808.1747
Partial cubes are not possible, so the answer is 808.
. In a class, 36 students offered physics, 46 offered chemistry
and 48 offered mathematics. Of these, 26 are in both
chemistry and mathematics, 24 are in both physics and
chemistry, 22 are in both mathematics and physics.12 have
offered all the three subjects. Find the number of students in
the class.
Answers
Answer:
70 students
Step-by-step explanation:
yaa is 10 years kwasi is 20 years and they share 60 mangoes and to a ratio of their ages find what each of them will get
Answers
Step-by-step explanation:
Yaa's age = 10 years
Kwasi's age = 20 years
They share the mangoes in the ratio of their ages
That's
10 : 20 = 1 : 2
Total number of mangoes = 60
Total parts = 1 + 2 = 3
Yaa's share[tex] \frac{1}{3} \times 60[/tex]= 20 mangoesKwasi's share[tex] \frac{2}{3} \times 60[/tex]= 2 × 20
= 40 mangoesHope this helps you
Answer:
Yaa gets 20 oranges while Kwasi gets 40 oranges
Step-by-step explanation:
We will add both ages= 10+20=30
Then we will pick yaa's age/ their total ages multiplied by the amount of oranges= 10/30 * 60
yaa will get= 600/30 = 20 oranges
Then Kwasi's age/their total ages multiplied by the amount of oranges= 20/30* 60=
1200/30= 40 oranges
How many significant digits are there in the product of 0.005 and 25.725?
Answers
Answer:
there are 0 significant digits
Step-by-step explanation:
0.0005 has 1 significant digit which is 5
25.725 has 5 significant digits
Look at the diagram below. If ∠A and ∠C are complementary, what's the measurement of ∠C?
Answers
Answer:
∠A + ∠C=90°(Right angle triangle)
37+∠C=90°
∠C=90°-37°
∠C=53°
Hope it helped you:)
Answer:
∠A + ∠C=90°(Right angle triangle)
37+∠C=90°
∠C=90°-37°
∠C=53°
Step-by-step explanation:
A calculator is sold for Rs 230 at a profit of 15%.find cp
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 200}}}}}[/tex]
Step-by-step explanation:
Given,
Selling price ( SP ) = Rs 230
Profit % = 15 %
Cost price ( CP ) = ?
Finding the Cost price
[tex] \boxed{ \sf{cost \: price = \frac{selling \: price \times 100}{100 + profit \: \%}}} [/tex]
plug the values
⇒[tex] \sf{ \frac{230 \times 100}{100 + 15 \: }} [/tex]
Muliply the numbers : 230 and 100
⇒[tex] \sf{ \frac{23000}{100 + 15}} [/tex]
Add the numbers : 100 and 15
⇒[tex] \sf{ \frac{23000}{115} }[/tex]
Divide 23000 by 115
⇒[tex] \sf{200}[/tex]
Cost price ( CP ) = Rs 200
Hope I helped!
Best regards!!
Which group of expressions could represent the dimensions of a rectangular prism with a volume of 2y3 + 15y2 + 28y?
A. y, y + 4, 2y + 7
B. y, y + 7, 2y + 4
C. y, y + 2, 2y + 14
D. y, y + 14, 2y + 2
Answers
Answer:
C. y, y + 2, 2y + 14
Step-by-step explanation:
Given
[tex]Volume = 2y^3 + 15y^2 + 28y[/tex]
Required
Determine which set of dimensions is applicable
The volume of a rectangular prism is calculated as:
[tex]Volume = Length * Width * Height[/tex]
So, to solve this question, we have to test each options using the above formula
A. y, y + 4 and 2y + 7
[tex]Volume = y * (y + 4) * (2y + 7)[/tex]
Open brackets
[tex]Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)[/tex]
[tex]Volume = y(2y^2+ 8y + y^2+ 28)[/tex]
[tex]Volume = 2y^3+ 8y^2 + y^3+ 28y[/tex]
Collect Like Terms
[tex]Volume = 2y^3 + y^3+ 8y^2+ 28y[/tex]
[tex]Volume = 3y^3+ 8y^2+ 28y[/tex]
B. y, y + 7, 2y + 4
[tex]Volume = y * (y + 7) * (2y + 4)[/tex]
Open brackets
[tex]Volume = y * (y * (2y + 4)+ 7* (2y + 4))[/tex]
[tex]Volume = y * (2y^2 + 4y+ 14y + 28)[/tex]
[tex]Volume = y * (2y^2 + 18y+ 28)[/tex]
[tex]Volume = 2y^3 + 18y^2+ 28y[/tex]
C. y, y + 2, 2y + 14
[tex]Volume = y * (y + 2) * (2y + 14)[/tex]
Open brackets
[tex]Volume = y * (y* (2y + 14) + 2* (2y + 14))[/tex]
[tex]Volume = y * (2y^2 + 14y + 4y + 28)[/tex]
[tex]Volume = y * (2y^2 + 18y + 28)[/tex]
[tex]Volume = 2y^3 + 18y^2 + 28y[/tex]
There's no need to check the last option because option c answers the question.
Hence, the dimension is y, y + 2, 2y + 14
Plz help ASAP will mark brainlist
Answers
Answer:
[tex]\huge \boxed{\mathrm{C}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x.
The function does not cross the line x = 1.
The domain is all real numbers except 1.
The range is the set of all possible values for y.
The function does not cross the line y = 0.
The range is all real numbers except 0.
i need help, please.
Answers
1). y-intercept: 7 and slope: 4
2). y-int: 8 and slope: -1/3
3). y-int: -6 and slope 1/9
4). y-int: -9 and slope: -5
5). y-int: -6 and slope: 2
6). y-int: -7 and slope: -2/3
Answer:
work shown and pictured
$250 at 4% for 1 year
What is the balance of the account?
Answers
Answer:
Balance is $260.
Step-by-step explanation:
4% of $250
= 0.04 * 250
= $10.
250 + 10 = $260.
If m∠ATB = 20°, m∠BTD = 72°, and m∠CTD = 38°, what is m∠ATC?
Answers
Answer:
54 degrees
Step-by-step explanation:
a + 2 = 6
Solving One and Two step Equations
Answers
Answer:
a = 4
Step-by-step explanation:
a + 2 = 6
Subtract 2 from both sides
a + 2 - 2 = 6 - 2
a = 4
Answer:
4
Step-by-step explanation:
6 - 2 = 4
The value pi/16 is a solution for the equation 2cos^2(4x)-1=0
True or false?
Answers
Answer:
True
Step-by-step explanation:
The other person is wrong
The value π/16 is a solution for the equation 2cos²(4x) – 1 = 0, is true.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The value π/16 is a solution for the equation 2cos²(4x) – 1 = 0.
Put x = π/16, we have
2cos²(4x) – 1 = 0
2cos²[4 (π/16)] – 1 = 0
2cos²(π/4) – 1 = 0
We know that cos (π/4) = 1/√2
2(1/√2)² – 1 = 0
2 (1/2) – 1 = 0
1 – 1 = 0
0 = 0
Thus, the statement is true.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2