19. Suppose the function ƒ(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours.
Answer:
To get the population of the bacteria at a time t, we just plug in the given value of t
so in this case, we will put 5 in the place of t
f(t) = \(e^{t}\)
f(5) = \(e^{5}\)
we know that the value of e is about 2.7. So the population of the bacteria after 5 hours will be 2.7 to the power 5
which will be equal to:
b) 148.413
note: using 2.7 in the calculation will give slightly different answer since it is an estimated value, i suggest using 'e' in the actual calculation
what is 2 + 2 - 90 + 40
Answer:
-46
Step-by-step explanation:
hope this helps ;)
Answer:
Pemdas makes it -46
Step-by-step explanation:
since this is only addition and subtraction it doesn't matter really what order you do it in
2+2=4
-90+40=-50
4+-50=-46
this is thanks to the Commutative property of addition which states that "Changing the order of addends does not change the sum."
What fraction of Kaitlins family have green or brown eyes?
The fraction of Kaitlins family have green or brown eyes is 5/8
How to determine the fractionThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Green = 3/8
Brown = 2/8
This means that
Green or Brown = 3/8 + 2/8
Evaluate the like terms
Green or Brown = 5/8
Hence, the fraction is 5/8
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CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I NEED TO TURN IT IN TODAY
Answer:
The answer is 833.65384615385
Step-by-step explanation:
Help please someone
Daniel needs 15 feet of string for a school project. He has 28 inches of string already. How many more inches of string does he need to complete the project?
Answer:
Step-by-step explanation:
first, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = 180 inches.
Since Daniel already has 28 inches of string, he still needs 180 - 28 = 152 inches of string to complete his project.
Received message. First, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = **180 inches**. Since Daniel already has 28 inches of string, he still needs 180 - 28 = **152 inches** of string to complete his project.
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Write the following expression as a constant, a single trigonometric function, or a power of a trigonometric function.
sec x cos x
Answer:
1.
Step-by-step explanation:
sec x cos x
= 1/cos x * cos x
= cos x / cos x
= 1.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Aria is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C represent the total cost of renting the truck when the truck is driven m miles. The table below has select values showing the linear relationship between m and C. Determine the initial fee to rent the truck.
Answer:
$40
Step-by-step explanation:
Hourly rate is 2.25
Please help!!!!!!!!! Anyone please
Answer:
A
Step-by-step explanation:
5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -\(m_{p}\) to \(m_{p}\) evenly into L levels, so
Δv = \(2m_{p}\) / L
Δv / 2 = \(m_{p}\) / L
given that the error must be at most 1% of \(m_{p}\),
1%\(m_{p}\) = \(m_{p}\) / L
1/100 × \(m_{p}\) = \(m_{p}\) / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
If x is equal to -6 which equality is true
Answer:
-5 - 3x > 10
Step-by-step explanation:
x = -6
Plug in the x value for each inequality:
-5 - 3(-6) > 10
-5 + 18 > 10
13 > 10
True
-3 - 5(-6) < -14
-3 + 30 < -14
27 < -14
False
1 - 2(-6) > 13
1 + 12 > 13
13 > 13
False
2 - (-6) < -3
2 + 6 < -3
8 < -3
False
Only one of these is true; that is the answer.
The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.
Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.
Answer = $ per hour
Answer:25.45
Step-by-step explanation:
52936/1 year x 1 year/52 weeks x 1 week/40hours
Does anyone know what this is!? Or have got this question too please help me:(
can someone help answer this and explain how you did it
Answer:
2
Step-by-step explanation:
You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.
Slope of a lineThe slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.
slope = rise/run = 2/1 = 2
The slope of DC is 2.
<95141404393>
Thanks for reposting the pertinent question:
Therefore the SLOPE of DC:
DC = 2
Step-by-step explanation: Cheers to the person who has explained and answered the question correctly as well.Make a Plan: FORMULA FOR SLOPE OF A LINE: m = rise/run = y1 - y2 / x2 - x1POINTS: D, C, B, and A are COLLINEAR
Now, We can FIND That:SLOPE of: DC is Equal (=) To the SLOPE of: AB
So, Now, The SLOPE of AB:AB = 2/1 = 2
Now, we conclude that:Therefore the SLOPE of DC:
DC = 2
I hope this helps you!
PLEASE HELP
I dont understand how to get the answer
For the given triangles ΔABC ≈ ΔXYZ, the length of the side AB is, 24
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One triangle, ΔABC
Another triangle , which is ΔXYZ
Triangle ΔABC and ΔXYZ similar,
So, we can say ΔABC ≈ ΔXYZ
And it is known that
for similar triangles, ratio of lengths of sides are equal for similar triangles
so, AB/BC = XY/ZY
⇒ X/18 = 16/12
⇒ X = 24
Hence, the value of x is 24
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How to wright a related multiplication sentence for 1/4 divided by 5
1/4 / 5 is equal to 4x5, or 20.
---
hope it helps
Can someone help me I will mark u brilliant
Answer:
Hello! answer: 20
Step-by-step explanation:
1/8 × 20 = 2 1/2 So the answer is 20 HOPE THAT HELPS!
Answer:
20
Step-by-step explanation:
We can convert \(2\frac{1}{2}\) into improper fraction: \(\frac{5}{2}\)
and \(\frac{1}{8}\) * 20 = \(\frac{5}{2}\)
Hope this helps!
Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much appreciated and I will give brainliest to the answer that explains it to make it the easiest. Thanks
Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
Answer:
x=7
Step-by-step explanation:
3X+2(4+6X)=113
=> 3X +2x4+2x6X=113
=> 3X+8+12X=113
=> 3X+12X=113-8
=>15X=105
=>X=7
Which choice is the slope-intercept equation of the line shown below?
(1,2)
(0, -1)
A. y = 3x - 1
B. y = 2x-1
C. y = 2x + 1
D. y = 3x
Answer:
C is my answer
Step-by-step explanation:
Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}
not a test, ixl help please! geometry triangle angle sum theorem2c + (c-4) + (c-8) = 180what is the value of c?c = [ ]°
Answer set notation Please answer fast
Answer:
The set notation for the diagram is P-Q
A shop has a sale of
1
3
off all items in stock.
If the original price of a dress is £27, what would be its sale price?
The sales price of the item is £18
How to determine the sales priceFrom the question, we have the following parameters that can be used in our computation:
Discount = 1/3
Original price = 27
This means that
Sales price = original price * (1 - discount)
Substitute the known values in the above equation, so, we have the following representation
Sales price = 27 * (1 - 1/3)
Evaluate
Sales price = 18
Hence, the sales price is #18
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only answer if you know (no guesses) no spams! :)
Answer:
3/4
Step-by-step explanation:
I actually took this quiz a day ago!
Surface area 5cm and 6cm
Answer:
I think its 5 x 6 or 5 x 5 x 6 it'd be helpful to have a graph or something but 5 x 6 = 30 and 5 x 5 x 6 = 150
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
The three angles inside of a triangle add up to HOW MANY degrees?
180
90
360
120
Answer:
180
Step-by-step explanation:
This is 180 because the specific angles in a triangle will unless an irregularly shaped triangle will equal up to 180.