Answer:
1857
Step-by-step explanation:
because if you multiple 2000*143=1,857
My favorite book is (things Fall apart)
A culture started with 2000 bacteria. after 2 hours it grew to 2400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number. P=Ae^kt
Answer: There will be 4977 bacteria present after 10 hours.
Step-by-step explanation:
The exponential function for continuous growth in t years is given by :-
\(P=Ae^{kt}\) (i)
, where A = initial population, k= rate of growth.
As per given, A= 2000,
After t= 2 hours, P=2400
Put these values in (i), we get
\(2400=2000e^{2k}\\\\\Rightarrow\ 1.2=e^{2k}\)
Taking log on both sides
\(\ln 1.2=2k\\\\\Rightarrow\ k=\dfrac{\ln1.2}{2}=\dfrac{0.182321556794}{2}\\\\\Rightarrow\ k\approx0.09116\)
put value of A=2000, k= 0.09116 and t= 10 , we get
\(P=2000e^{0.09116\times10}\\\\=2000e^{0.9116}\\\\=2000\times2.4883\\\\=4976.6\approx4977\)
Hence, there will be 4977 bacteria present after 10 hours.
Answer:
Step-by-step explanation:
HURRY I NEED TO TURN IT IN SO I DONT GET AN REFERALL ALSO I NEED TWO ANSWERS
Consider the points K(1,2) and L(3,5).
What possible coordinates for Point J will make Figure JKL a right triangle with the right angle at Point J?
Enter the correct answers in the boxes.
Answer:
i think that one of the answers is (3,2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
4,6
Select the correct answer.
Consider the function given below.
Ax) = |x- 5| +2
Which of the following statements about the y-values of the graph
of the function is true?
O A.
The y-values are all greater than or equal to 5.
• B.
The y-values are all less than or equal to 5.
© C.
The y-values are all less than or equal to 2.
O D.
The y-values are all greater than or equal to 2.
Answer:
the answer is b
Step-by-step explanation:
big boy
What strategy would be the best to solve this problem?
Deena wanted to know the age of her math teacher. Her teacher said that
if she added 28 years to her age and then doubled it, she would be 120
years old. How old was the teacher?
Answer:
32 years old
Step-by-step explanation:
Reverse what the teacher said. Half 120 to get 60. Subtract 28 from 60. The teacher is 32.
Answer:
C. Work backwards
Step-by-step explanation:
I hope this helped!
Which input value produces the same output value for
the two functions?
O x= -12
O x= -9
O x= -6
O X=-3
HELP PLEASE
Answer
-6
Step-by-step explanation:
Took test
Bryce's class jumped rope in p.e. he counted the number of jumps each student completed before getting tangled in the rope. the number of jumps 7 7 students completed was: 70 , 71 , 45 , 55 , 39 , 31 , 53 70, 71, 45, 55, 39, 31, 53 what was the mean absolute deviation of the numbers of jumps completed?
The average difference between the number of jumps completed and the mean value is about 11.71.
To find the mean absolute deviation (MAD), we need to first find the mean of the data set:
Mean = (70 + 71 + 45 + 55 + 39 + 31 + 53) / 7 = 47.43
Next, we find the absolute deviations of each data point from the mean:
|70 - 47.43| = 22.57
|71 - 47.43| = 23.57
|45 - 47.43| = 2.43
|55 - 47.43| = 7.57
|39 - 47.43| = 8.43
|31 - 47.43| = 16.43
|53 - 47.43| = 5.57
We then find the average of these absolute deviations:
MAD = (22.57 + 23.57 + 2.43 + 7.57 + 8.43 + 16.43 + 5.57) / 7
MAD = 11.71
Therefore, the mean absolute deviation of the numbers of jumps completed is approximately 11.71.
Learn more about mean here: brainly.com/question/30891252
#SPJ4
Consider the following sample data values. 7 4 6 12 8 15 1 9 13 a) Calculate the range. b) Calculate the sample variance. c) Calculate the sample standard deviation. a) The range is 14 b) The sample variance is (Round to two decimal places as needed.) c) The sample standard deviation is (Round to two decimal places as needed.)
a) The range is 14.
b) The sample variance is 20.78.
c) The sample standard deviation is 4.56.
a) Range
The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:
Range = maximum value - minimum value
Range = 15 - 1
Range = 14
b) Sample variance
To calculate the sample variance, follow these steps:
1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:
n = 9
∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75
X = ∑x/n = 75/9 = 8.33
2. Subtract the sample mean from each data value, square the result, and add up all of the squares:
(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23
3. Divide the sum of squares by one less than the total number of values to get the sample variance:
s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78
Therefore, the sample variance is 20.78 (rounded to two decimal places).
c) Sample standard deviation
To calculate the sample standard deviation, take the square root of the sample variance:
s = √s² = √20.78 = 4.56
Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).
Learn more about range here: https://brainly.com/question/30339388
#SPJ11
The table shows the length and width of proportional rectangles. Length (in inches) 6 9 18 24 Width (in inches) 10 15 30 40 Using the table, find the width of a rectangle that has a length of 42. 45 50 60 70
The width of the rectangle with a length of 42 inches is 70 inches.
To find the width of a rectangle that has a length of 42 inches, we can use the concept of proportions based on the given table.
First, we observe that the length and width of the rectangles are proportional. We can set up a proportion using the values from the table:
Length (in inches): 6, 9, 18, 24
Width (in inches): 10, 15, 30, 40
Using the proportion, we have:
Length / Width = Length / Width
We can select any corresponding pair of length and width values to set up the proportion. Let's choose the first pair: 6 and 10.
6 / 10 = 42 / x
To find the width (x) when the length is 42, we can solve the proportion:
6 / 10 = 42 / x
Cross-multiplying:
6x = 10 * 42
6x = 420
Dividing both sides by 6:
x = 420 / 6
x = 70
for such more question on rectangle
https://brainly.com/question/2607596
#SPJ8
If 7 times y equals 56 and z-y=1 what is z x y
Answer:
y will be 8 making z to be 9 and x does not have a value here
Determine whether the following statements are true and give an explanation or counterexample. projvu = projuv b. If nonzero vectors u and v have the same magnitude they make equal angles with u + v. (u.i)^2 + (u.j)^2 + (u.k)^2 = |u|^2. d. If u is orthogonal to v and v is orthogonal to w, then u is orthogonal to w. The vectors orthogonal to (1, 1, 1) lie on the same line. f. If proj v u = 0, then vectors u and v (both nonzero) are orthogonal.
The given statement is false and the explanation is given below:projvu = projuv This equation is equivalent to (proj v u).v = (proj u v).u.
Therefore, the given statement is not true. For example, consider the vectors u = (1, 0) and v = (0, 1). The projection of u onto v is zero, and the projection of v onto u is zero. In this case, projvu ≠ projuv, which implies that the given statement is not correct. Thus, the given statement is False.
Learn more about equation
https://brainly.com/question/29657983
#SPJ11
Complete the square and write the quadratic equation in vertex form please show steps
Answer:
Square: \((x-10)^{2} -68\)
Vertex: (10,-68)
Step-by-step explanation:
If two events A and B are independent, then which of the following must be true? Choose all of the answers below that are correct. There may be more than one correct
answer.
Choosing incorrect statements will lower your score on this question.
OA. P(AIB)=P(A)
O b. P(A or B) = P(A)P(B)
O c. P(A/B)-P(B)
• d. P(A and B) = P(A)+P(B)
If two events A and B are independent, the following statements must be true. If two events A and B are independent, then the occurrence of one event does not affect the occurrence of the other event.
In other words, the probability of one event does not influence the probability of the other event. Based on this definition, we can analyze each statement and determine which one(s) must be true.
a. P(AIB)=P(A): This statement is true for independent events. It means that the probability of event A occurring given that event B has occurred is equal to the probability of event A occurring. Therefore, statement a is correct.
b. P(A or B) = P(A)P(B): This statement is not always true for independent events. It is only true if events A and B are also mutually exclusive. In other words, if events A and B cannot occur at the same time. Therefore, statement b is incorrect.
c. P(A/B)-P(B): This statement does not make sense for independent events since the probability of event A does not depend on the occurrence of event B. Therefore, statement c is incorrect.
d. P(A and B) = P(A)+P(B): This statement is not always true for independent events. It is only true if events A and B are also mutually exclusive. In other words, if events A and B cannot occur at the same time. Therefore, statement d is incorrect.
To know more about score visit:
https://brainly.com/question/29285947
#SPJ11
Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.
The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.
Given that,
Two requirements of a density curve are to be determined.
A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.
Here,
The two requirements of a density curve should be,
a. The area under the density curve should be equal to 1.
b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.
Thus, the required requirement of the density curve is mentioned above.
Learn more about density curves:
https://brainly.com/question/18345488
#SPJ4
3.2 reading function notations grade 9
The centre of this circle is marked with a cross (*).
Label the lines drawn using the correct circle vocabulary
Answer:
one is radius and the other is chord
Step-by-step explanation:
Toasty Hands is a manufacturer of battery-powered heated gloves. Its top of the line model currently sells for $279, and it expects sales of 440,000 pairs in the next year. Its estimate of the demand for gloves suggests that if it cuts the price to $239 it could sell 540,000 pairs. What is the absolute value of the elasticity coefficient for Toasty Hands' gloves? Round your answer to two decimals. 1st attempt
The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.
The elasticity coefficient is calculated as follows:
Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)
In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.
Plugging these values into the formula, we get:
Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23
The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.
Here is a more detailed explanation of the calculation:
The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.
The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.
The original price is $279, and the original demand is 440,000 pairs.
Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.
Learn more about coefficient here: brainly.com/question/1594145
#SPJ11
Please help me it’s really important for me
Answer:
1. B
2. A
3. B
4. ???
5. A
6 ???
7. I can't see it
Step-by-step explanation:
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
For more questions on Value.
https://brainly.com/question/843074
#SPJ8
Below is a table of values representing a function/linear equation. What is the slope? Explain how you got it.
Answer:
-3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
8-14/-2-(-4)
-6/2
-3
Best of Luck!
1. please help me. 3 divide 255 2. 16 divide 368 3. 65 divide 2 210
The answer of the given conditions is 255/3 =83, 368/16 = 23 and 2 210/65 = 34.
What are the numerator and denominator?
For example, 4/5 is a fraction, and the line separating the numbers 4 and 5 is the fraction bar. Here the number above the fraction bar is the numerator, and the one below the fraction bar is the denominator. A numerator represents the number of parts out of the whole, which is the denominator.
3 divided by 255 is equal to 3/255.
16 divided by 368 is equal to 16/368.
65 divided by 2 210 is equal to 65/2210.
Note that for 2 and 3 the numerator and denominator have been swapped and the division is not correct, it should be 368/16 = 23 and 2 210/65 = 34
Hence, the answer of the given conditions are 255/3 =83, 368/16 = 23, and 2 210/65 = 34.
To learn more about the numerator and denominator visit,
https://brainly.com/question/20712359
#SPJ1
Explain what the fractional exponent means, then evaluate.
3. 144 1/2
4. 121 3/2
The fractional exponent means 144^(1/2) equals 12. and 121^(3/2) equals 121.
A fractional exponent represents the concept of taking a root or power of a number. The numerator of the fraction indicates the power to which the number is raised, and the denominator represents the root that is taken.
Let's evaluate the given expressions:
144^(1/2): This means we are taking the square root of 144. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 144 is 12 because 12 * 12 = 144. Therefore, 144^(1/2) equals 12.
121^(3/2): This means we are taking the cube root of 121 and then squaring the result. The cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 121 is 11 because 11 * 11 * 11 = 121. Squaring 11 gives us 121.
Therefore, 121^(3/2) equals 121.
To summarize: 144^(1/2) = 12 and 121^(3/2) = 121
For more such questions on fractional , Visit:
https://brainly.com/question/78672
#SPJ11
List five vectors in Span{V1, V2}. Do not make a sketch. V1: [ 7 3 8 ] V2 = [-7 4 0]
List five vectors in Span{V1, V2}. (Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element. Type each answer only once.)
Span{V1, V2} is the set of all vector linear combinations V1 and V2, which contains every vector that can be represented as a vector linear combination of V1 and V2. The five vectors in SpanV1, V2 are as follows:
[7, 3, 8] (V1)
[-7, 4, 0] (V2)
[0, 0, 0] (the zero vector)
[7, 7, 8] (V1 + V2)
[-14, 10, 16] (2V1)
What is vector?A vector is a matrix that has only one row or one column. A row vector is a matrix with only one row. Example Because it only contains one row, the matrix is a row vector. A column vector is a matrix with only one column. If all of the scalars in a matrix are real-valued, it is indicated using uppercase boldface letters, such as A R m n. That is, the matrix exists in a real-valued vector space with m n dimensions. As a result, matrices are just vectors expressed in a two-dimensional table-like format.
Here,
Span{V1, V2} is the set of all linear combinations of vectors V1 and V2, which includes any vector that can be expressed as a linear combination of V1 and V2. The five vectors in Span{V1, V2} are:
[7, 3, 8] (V1)
[-7, 4, 0] (V2)
[0, 0, 0] (the zero vector)
[7, 7, 8] (V1 + V2)
[-14, 10, 16] (2V1)
To know more about vector,
https://brainly.com/question/30202103
#SPJ4
You cut the board into two pieces: one of the pieces is 10 centimeters long and the other piece is 20 centimeters long. Which piece has the greatest diameter?
Answer:
The same
Step-by-step explanation:
length does not mean anything in terms of diameter
A box has 17 candies in it: 5 are butterscotch, 4 are peppermint, and 8 are taffy. (each candy falls into only one of these categories.) melissa wants to select two candies to eat for dessert. the first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. what is the probability that the two candies selected are butterscotch
The probability of selecting two butterscotch candies from a box containing 17 candies (5 butterscotch, 4 peppermint, and 8 taffy) at random is 10/153.
To calculate the probability, we first determine the total number of possible outcomes and the number of favorable outcomes.
For the first candy selection, there are 17 candies in total, so the probability of selecting a butterscotch candy is 5/17. After the first candy is selected, there are 16 candies remaining, with 4 of them being butterscotch.
For the second candy selection, the probability of selecting another butterscotch candy is now 4/16 since there are 4 butterscotch candies left out of the remaining 16 candies.
To find the probability of both events occurring (selecting two butterscotch candies), we multiply the probabilities together:
(5/17) * (4/16) = 20/272 = 5/68.
Therefore, the probability of selecting two butterscotch candies from the box is 5/68.
Learn more about probability here:
https://brainly.com/question/32117953
#SPJ11
Write each fraction as a mixed number.
3 4/9
43/9
32/5
The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
What is a mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.
The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-
To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.
34/9 = 3(⁷/₉)
43/9 = 4(⁷/₉)
32/5 = 6(²/₅)
Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
To know more about a mixed fraction follow
https://brainly.com/question/1746829
#SPJ1
I NEED HELP!!!!!!!! Adap
Answer:
b
Step-by-step explanation:
i did it i got it right
8x - 2y = 4 and x + 4y = -12
x = -12 - 4y
y = -3 - (x/4)
There you go! :D
What is the difference x/x^2+3+2 - 1/(x+2)(x+1)
Answer:
#4, x-1/(x^2+3x+2)
Step-by-step explanation:
x/(x^2+3x+2) - 1/((x+2)(x+1))
Convert the 1/((x+2)(x+1)) to 1/(x^2+3x+2)
now you have a common denominator to subtract
x/(x^2+3x+2) - 1/(x^2+3x+2)
results x-1/(x^2+3x+2)
Match the function with the graph
D.
It's an upside-down ln(x) function that's been shifted 3 units to the left.
HIII I need help with this I just took a screenshot its for 7th grade.