Answer:
Step-by-step explanation:
13.25x + 31.50x≤155
44.75x≤150
A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours
Answer:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Step-by-step explanation:
The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
A petri dish has 10, 000 bacteria in it.
This means that [tex]P(0) = 10000[/tex]. So
[tex]P(t) = 10000e^{rt}[/tex]
After 4 hours the bacteria’s population increased to 20,000.
This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So
[tex]P(t) = 10000e^{rt}[/tex]
[tex]20000 = 10000e^{4r}[/tex]
[tex]e^{4r} = \frac{20000}{10000}[/tex]
[tex]e^{4r} = 2[/tex]
[tex]\ln{e^{4r}} = \ln{2}[/tex]
[tex]4r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{4}[/tex]
[tex]r = 0.1733[/tex]
So, the formula is given by:
[tex]P(t) = 10000e^{0.1733t}[/tex]
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
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(
0
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(
x
+
3
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Step-by-step explanation:
Can someone please answer 1 for me? Whoever can answer gets brainliest
An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
PLEASE I REALLY NEED HELP I OFFER 15 POINTS
Answer:
-5=25 ------>x= -5
[tex]\frac{x}{5}[/tex]= -5 --------> x=-25
-1.2x=-6 --------> x=5
[tex]\frac{x}{0.5}[/tex] = 50 ---------> x=25
Brainliest would be nice!which number from the set {9, 10, 13, 15} is the solution to this equation
3(x - 7) = 9
A) 9
B) 10
C) 13
D) 15
What is the decimal Expansion of the following fraction?
Answer:
B
Step-by-step explanation:
1/25 = 0.04 only. this is surely the anwer
Guys i actually need help
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
You spin the spinner twice.
5
4
What is the probability of landing on an odd number and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Answer:
5 by 2
because the number is 5 .
And the spinner is spin two time
so 5 by 2
Step-by-step explanation:
hope it helps you
You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10
Answer:
15 (A)
A is the legit answer.
Please help me I’ll give you brainliest
look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles
Translate the verbal expression: Six times a number yields 48.
six times eight equals fourtyeight
6x8=48
The verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
What is an expression?It is defined as the combination of constants and variables with mathematical operators. A mathematical situation can be expressed verbally as a condensed version. It describes the connections and operations that take place between quantities.
It is given that the verbal expression is six times a number yields 48.
Suppose the number is x,
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The expression is translated as,
6×8=48
Thus, the verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
Which angle is congruent to
Answer:
ps is congruent to qr if that's what your asking
Help here is an easy one
Answer:
x = 30°
Step-by-step explanation:
Given that,
∠A = x°
∠B = 2x°
∠C = 90°
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°.
ATQ,
x° + 2x° + 90° = 180°
3x° = 180°-90°
3x° = 90°
x° = 30°
So, the value of x is 30°.
Answer:
3x+90=180
3x=90
x=30
Step-by-step explanation:
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
Determine if the situation is additive or multiplicative AND determine the equation that corresponds to the situation.
Equation:
Additive or Multiplicative:
Answer:
The situation is Multiplicative.
The equation will be [tex]y=2x[/tex]
Step-by-step explanation:
We are given the table:
Input (x) 5 8 11
Output (y) 10 16 22
Looking at the table, we see that the value of x is doubled to get value of y
Looking at the trend: 5(2) = 10
8(2) = 16
11(2) = 22
The value of x is multiplies by 2 to get value of y.
So, The situation is Multiplicative.
Now, The equation will be [tex]y=2x[/tex]
because we saw the trend, that every value of x is multiplied by 2 to get value of y.
hey sorry bout your acc D:
8(5 + 4n) + 11 = -5(3 - 7n)
Isolate the variable by dividing each side by factors that don't contain the variable.
n = 22
Answer:
n=22
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8(5+4n)+11=−5(3−7n)
(8)(5)+(8)(4n)+11=(−5)(3)+(−5)(−7n)(Distribute)
40+32n+11=−15+35n
(32n)+(40+11)=35n−15(Combine Like Terms)
32n+51=35n−15
32n+51=35n−15
Step 2: Subtract 35n from both sides.
32n+51−35n=35n−15−35n
−3n+51=−15
Step 3: Subtract 51 from both sides.
−3n+51−51=−15−51
−3n=−66
Step 4: Divide both sides by -3.
−3n /−3 = −66 /−3
n=22
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
how many 1/5's are there in 9
1/5 9 = _____
Answer:
45
Step-by-step explanation:
1
1/5 X 5 times 9
Answer:
45 times is the correct answer
Each bill at a restaurant includes an 18% tip. Which of the following bill amounts and tips could be from this restaurant? Select Yes or No.
Answer:
1. Yes
2. No
3. No
4. Yes
Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?
Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation tells us “Jada is 600 meters from school after 5 minutes”? A. D(600)=5 B. t(5)=600 C. t(600)=5 D. D(5)=600
Awnser:
The awnser is: D(5) = 600
Step-by-step explanation:
The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.
What is function?A function is defined as a relation between a set of inputs having one output each.
Given that, Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home.
According to the question,
She is 600 meters far from school after 5 minutes,
That tells that, when it is 5 min the distance left is 600 m, i.e, 5 minutes is input and 600 is output.
Hence, The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.
For more references on functions, click;
https://brainly.com/question/21145944
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How many pounds are in 24 ounces?
A. 1/2
B. 1
C. 1 1 /2
D. 2
Answer:
C is the answer
Step-by-step explanation:
Answer:
1.5 pounds so option c
Step-by-step explanation:
I hope this helps with your problem :)
Can someone help me with this problem pls
Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)
A. 9
B. 1 13/18
C. 25.3
D. 6
Answer:
b
Step-by-step explanation:
it is
Answer:
B. 1 13/18
Step-by-step explanation:
1 13/18 x 36 = 62
Please help I’ll mark you as brainliest if correct!!!
Answer:
First is correct
Second is perimeter
Why? Because perimeter is the surounding part
Answer:
The first one is correct the second one is Perimeter
Step-by-step explanation:
Hope this Helps! :)
Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
PLEASE HELP, Will give brainliest if u help and 38 points.
You are deciding between two laptops to purchase. The first laptop has an initial value
of $2000 but loses 14% of its value every year. The second laptop has an initial value
of $1200 but loses 11% of its value every year.
a. Write functions that represent the values (in dollars) of the laptops after t years.
Then graph the functions in the same coordinate plane.
b. Find the approximate monthly percent decrease in value for each laptop.
C. Which laptop should you buy if you plan on selling the laptop in 5 years? Explain
your reasoning
Step-by-step explanation:
a)
The first laptop
Initial value- $2000Value loss - 14% every yearFunction for value- V(t) = 2000*0.86^tThe second laptop
Initial value- $1200Value loss - 11% every yearFunction- V(t) = 1200*0.89^tb)
Monthly percent decrease
The first laptop:
14%/12 = 1.16%The second laptop:
11%/12 = 0.92%c)
The second laptop will lose less value in 5 years hence is better choice
See the graph attached
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm