Answer:
[tex]n = 500e^{-4.1589x}[/tex]
Step-by-step explanation:
Using the exponential growth equation [tex]N(t) = N_0e^{-kt}[/tex] where;
N₀ is the initial population of the bacteria
N(t) is the population of the bacteria during time t
If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0
[tex]N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500[/tex]
If the population is expected to double every 4 hours, this means when t = 4, N₀ = 2(500) = 1000
[tex]N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733[/tex]
The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours
[tex]N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}[/tex]
Hence the equation that will give the expected number of bacteria, n, after x days is [tex]n = 500e^{-4.1589x}[/tex]
someone answer this for me please ..
Answer: 9 times as large
Step-by-step explanation:
the original area: 15×15=225
the new area: (15×3)(15×3)=2025
2025/225=9
Hope this helps!! :)
Please let me know if you have any question
On the Venn diagram, which would be classified as an IRRATIONAL number?
Answer:
The correct answer is B. 2π
Step-by-step explanation:
A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.
-√4 = -2, which is a rational number
2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)
2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)
√225 is 15, which is a rational number
Therefore, the only irrational option is option B. 2π, which is your answer.
Hope this helps!
what is the answer for -(2n-b)=-2
Answer:
b=2n−2
Step-by-step explanation:
Distribute -1 to every term in the parentheses:-2n+b=-2
Add 2n to isolate b
You might want to specify which variable you are solving for...
Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height.
What is the combined height of the 3 stacked boxes?
18.8 cm
59.4 cm
112.8 cm
169.2 cm
Answer:
169.2cm
Step-by-step explanation:
56.4cm + 56.4= 112.8+ 56.4= 169.2cm
The combined height of the 3 stacked boxes will be 169.2 cm so option (D) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Height of one box = 56.4 cm
So,
Height of two boxes = Height of one box + Height of one box
It means
Height of three boxes = Height of one box + Height of one box + Height of one box
So,
Height of three boxes = 56.4 + 56.4 + 56.4
Height of three boxes = 169.2 cm
Hence "The combined height of the 3 stacked boxes will be 169.2 cm".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Find the circumference of a circle with radius of 6ft
Answer:
If the radius of your circle is 3 feet, for example, its diameter is 3 × 2 = 6 feet; and the circumference is then 6 × 3.14 = 18.84 feet, or 6 × 3.1415 = 18.849 feet if you're asked for a more exact answer.
Step-by-step explanation:
Answer:
37.7 ft
Step-by-step explanation:
C = 2 pi r
The circumference = 2 pi (6) = 12 pi = 37.7 ft
P has coordinates (2,4). Q has coordinates (-10,12). Find the midpoint of PQ.
Answer: (-4,8)
Step-by-step explanation:
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Plug in the values then divide, I assume you know how to divide.
Divide by 2, Simplify
[tex]\left(\frac{-10+2}{2},\:\frac{12+4}{2}\right)[/tex]
= (-4,8)
5x + 4x - x
9x
Explain mistake:
Correct answer:
2(x + 5)
2x + 5
Explain mistake:
Correct answer:
5 - (x - 2)
5 - x - 2
3 - x
Explain mistake:
Correct answer:
-3(2x - 5)
-6x - 15
Explain mistake:
Correct answer:
2x + 3 + 4x
9x
Explain mistake:
Correct answer:
x + 3x + 6x
[tex]10x {}^{2} [/tex]
Explain mistake:
Correct answer:
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the
sandbox. Round to the nearest tenths place.
Answer:
8.7
Step-by-step explanation:
Since a square has equal side lengths, the formula for area is s^2, where s stands for side. Since we are given the area, s^2=75 square feet. Take the square root of both sides to get s is equivalent to the square root of 75 square feet. When this becomes a decimal, it is 8.66 feet. Since we are supposed to round to the nearest tenths, it rounds up to 8.7 feet per side length
Expand the expression using the distributive property. 2(5x – 3)
Answer:
10x-6
Step-by-step explanation:
Please help me please Please
Answer:
see explanation
Step-by-step explanation:
The integers between - 4 and 4 are
- 3, - 2, - 1, 0, 1, 2, 3
Note this does not include - 4 and 4
(2)
Integers less than - 10 are
-11, - 12, - 13, - 14 , ....
ally spent half of her weekly allowance at the movies. to earn more money her parents let her clean the windows in the house for $7. what is her weekly allowance if she is left with $12?
Answer: Her weekly allowance is 24 dollars
Step-by-step explanation:
If she is left with $12 spending half of her weekly allowance the we could set up the equation.
1/2 of x = 12 where x is her weekly allowance.
1/2x = 12
x = 24
You use the equation $y=0.18x$ to calculate the tip $y$ (in dollars) that you add to a bill for $x$ dollars. a. Solve the equation for $x$ . The rewritten equation is $x=$ . b. Find the amount of the bill (not including tip) when your tip is $4.95. The bill is $\$$ .
Answer:
Step-by-step explanation:
Given the equation y = 0.18x, to solve for x, we will make the variable x as the subject of the formula from the equation given.
From the equation y = 0.18x
Divide both sides by the coefficient of x i.e 0.18
y/0.18 = 0.18x/0.18
y/0.18 = x
Hence the function of the variable x = y/0.18
b) Given the amount of the bill as y and x is the tip in dollars.
Given y = $4.95, we are to substitute the value of y = $4.95 into the resulting function in (a) to get x as shown;
Since x = y/0.18
x = $4.95/0.18
x = $27.5
Hence the bill is $27.5
6. Ken has set a daily jogging goal for himself of 3 miles. For four days of the week he has not met his daily goal. These are the percentages of his daily goal that he did achieve: day 1: 85%, day 2: 80%, day 3: 90%, day 4: 90%. How many miles must her run on the fifth day so that he can have achieved his goal over a 5-day period?
Answer:
Very tough question. Oh I was just kidding but first increase points then I will answer
Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).
Area =
Perimeter =
You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. Three times, you randomly pick up a drink for your grandmother. The first time, you get a Cherry Coke. The second and third times, you get Dr. Pepper. What is the probability of getting Dr. Pepper the fourth time and then an Cherry Coke the fifth time without replacement?
Answer:
Probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Probability of getting a cherry coke the fifth time = [tex]\frac{1}{3}[/tex]
Combined probability = [tex]\frac{1}{21}[/tex]
Step-by-step explanation:
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that first time a Cherry coke is chosen and it is not replaced.
So, number of cherry coke left = 2
Dr. Pepper is chosen twice and is not replaced, so
Number of Dr. Pepper left = 3 - 2 = 1
Total number of soda left = 10 - 3 = 7
So, probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Now, total number of soda left = 7 - 1 = 6
Probability of getting a cherry coke the fifth time = [tex]\frac{2}{6} = \frac{1}{3}[/tex]
The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time
[tex]\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}[/tex]
Factorise completely; 35y+5y-8
Answer:
40y-8
8(5y-1) is the answer
HELP PLEASE You're taking a scenic road trip down CA-Highway 1 from San Jose, California, to Los Angeles. You plan to split the drive into two days, stopping for one night. Choose one town to stop in, and find the driving distance for the second day. 1. Circle the town you chose to stop in. (1 point) Santa Barbara San Luis Obispo 2. Why did you choose this town? (1 point) 3. Define the variable. 4. What is the variable x for this problem? (1 point) Write the equation. 5. Write an equation showing that the distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles. (4 points: 2 points for each side of the equation) Isolate the variable. 6. What inverse operation do you need to perform on both sides to isolate x in the equation? (2 points: 1 point for the correct number, 1 point for the correct operation) Solve the equation. 7. Solve the equation for x. Interpret the answer in terms of the problem. (2 points: 1 point for the solution, 1 point for the interpretation) Check your solution. 8. To confirm that your answer is correct, add the two days' distances. This should equal the total distance from San Jose to Los Angeles. Show your work as an equation. (3 points: 1 point for the setup, 2 points for the correct answer) 9. Your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon on this winding road. To be sure you don't run out of gas, you never want to have less than 1 gallon in the tank. You start with a full tank of gas. Will you need to stop for gas during the first day's drive? Explain how you know, and show your work. (5 points: 3 points for calculating the distance you can go before refilling, 2 points for determining whether you need to stop) 10. You decide to visit San Diego next. You plan to start your trip around 7:00 a.m. There are two suggested routes from Los Angeles to San Diego. Route 1: Using Interstate 15, the trip is 125 miles and you should average 48 miles per hour. Route 2: Using Interstate 5, the trip is 100 miles and you should average 36 miles per hour. (Driving on Interstate 5 at 7 a.m. is no picnic!) Write and solve equations to find the amount of time each route will take. Which route is faster? How many minutes faster is that route? Round answers to the nearest hundredth. (5 points: 2 points for writing correct equations, 1 point for solving the equations, 1 point for identifying the faster route, 1 point for finding how many minutes faster that route is)
Answer:
((I do not have the answers for one, two, or four))
3.)
•What do you know?
-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.
•What do you want to find out?
-How many miles it is from Santa Barbara to Los Angeles.
•What kind of answer do you expect?
-If using variable, I expect that I will get the number of miles from one city to the other.
5.)
425 = 320 + X
6.)
425 = 320 + X
Subtract 320 from both sides.
7.)
X = 105
From Santa Barbra to Los Angeles it is 105 miles.
8.)
320 + 105 = 425
I’m confused how do you simplify 25-9
Answer:
do you mean subtract?
Step-by-step explanation:
What value of x makes the equation true? -3x = 18
Answer:
x = -6
Step-by-step explanation:
[tex]-3x = 18\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{18}{-3}\\\\Simplify\\x=-6[/tex]
Which other expression has the same value as (-14) - 8
Answer:
(-20)+(-2)
Step-by-step explanation:
(-14) - 8 = -22
(-20) + (-2) = -22
Find two numbers between – 1.5 and -1.6
Answer:
-1.51
-1.52
Step-by-step explanation:
Since we need to find a number between -1.6 and -1.5, we need to dive deeper into the decimal.
We need to go to the hundredths place.
The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers, between the two houses?
Answer:
The actual distance between the two houses is:
3.2 km
Step-by-step explanation:
Proportions:
1cm ⇔ 100000 cm
3.2 cm ⇔ W cm
W = 3.2*100000/1
W = 320000 cm
1 km = 100000 cm
320000cm = 320000/100000 = 3.2km
The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a volume of cubic centimeters
Answer:
B and C
Step-by-step explanation:
We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.
Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.
Option A has 15 cubes = 15 cm³ in volume
Option B has 10 cubes = 10 cm³ in volume
Option C has 10 cubes also = 10 cm³ in volume
Option D has 12 cubes = 12 cm³
The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.
Answer:
asdxfcghvjbnkmawerstyuijo
Step-by-step explanation:
MAKE ME BRAINLIEST OR YO GAY
Pam has 35 bags of coins. Some of the bags contain 6 gold coins, and the rest contain 8 silver coins. If Pam has 240 coins in all, how many bags of each type of coin does Pam have?
Answer:
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.
what is the answer to -1/8-2/7
Answer:
-23/56
Step-by-step explanation:
-1/8-2/7
= -7+8×-2
----------------
8×7
=-7-16/56
=-23/56
BTW. . This method is called the butterfly method.. in which we must cross multiply the numerators and denominators.. and multiply the denominator together (if they are co-primes) to get the LCM in the denominator of the sum..
Write an equation of line in point slope form containing (-1,1) and (4,-9)
Help!!!!!!!!!!!!!!!!!
9Answer: Y-1=-2(X+1) OR Y+9 = -2(X-4)
Step-by-step explanation:
Point slope form is Y-Y1=m(X-X1)
Slope (M) is (Y2-Y1)/(X2-X1)
SO M= (-9-1)/(4--1)
-10/5
M= -2
Answer:
y - 1 = -2 (x + 1)
Explanation:
point slope form: (y - y1) = m (x - x1)
m is the slope. To find m the formula is:
(y2 - y1) / (x2 - x1)
The given ordered pairs are: (-1,1) and (4,-9)
y2 is the y in the second ordered pair (-9)
y1 is y in the first ordered pair (1)
x2 is x in the second ordered pair (4)
x1 is x in the first ordered pair (-1)
= (-9 - 1) / (4 +1)
= -10/5
m = -2
Now plug m (-2), y1 (1), and x1 (-1) into the point slope form
y - 1 = -2 (x - -1)
y - 1 = -2 (x + 1)
5x + 3 = 7x – 1. sove for x,
Answer:
x = 2
Step-by-step explanation:
[tex]5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2[/tex]
When I double my number, add four, and then subtract my number and subtract three, I get my number plus one. What is my number bruh?
Answer:
4
Step-by-step explanation:
doubled it equals eight, add four it equals twelve, subtract four it equals eight, subtract three and it equals five.
2x+4-x-3=x+1
x+1=x+1
x=0 or underfined
did i get it correct
The length of a rectangle is (t – 8) units, and its width is ('+ 11) units. Which expression can represent the area of the rectangle?
A 2 - 33 - 88
B. 22 - 33 + 88
C12 + 31 - 88
D I2 +31 +88
Corrected Question:
The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?
Answer:
t² + 3t - 88
Step-by-step explanation:
Given:
Rectangle of;
length = (t - 8) units
width = (t + 11) units
The area A of a rectangle is given by;
A = length x width ----------------------------------(i)
Substitute the given length and width into equation (i) as follows;
A = (t - 8) x (t + 11) [expand the brackets]
A = t² -8t + 11t - 88
A = t² + 3t - 88
Therefore, the area is
(t² + 3t - 88) square units
9(x+3)=4x-3 can you guys help look for x
Answer: x=-6
Step-by-step explanation:
9(x+3)=4x-3
9x+27=4x-3 ⇔ distributive property (take off parentheses)
5x+27=-3 ⇔ subtraction property of equality (subtract 4x on both sides)
5x=-30 ⇔ subtraction property of equality (subtract 27 on both sides)
x=-6
Hope this helps!! :)
Please let me know if you have any question
Answer:
simplify both sides and get 9x+27=4x+−3 then subtract 4x and get 5x+27=−3 and subtract -27 and divide answer by 5 to get x=-6