After 100 days there will be 33750 bees in the bee hive .
in the question ,
it is given that
number of bees in the bee hive when discovered = 20 bees
number of bees after 5 days = 29 bees
also given that the population of the bees increases exponentially ,
the exponential growth is denoted by the function ,
A = A₀(eᵃˣ)
where A is the population after x days ,
A₀ is the initial population , x is the days and a is the constant of proportionality .
Substituting the values in the exponential growth formula ,
we get
29 = 20 ([tex]e^{a\times5}[/tex])
29/20 = [tex]e^{a\times5}[/tex]
taking ln both the side
ln(29/20) = ln( [tex]e^{a\times5}[/tex])
5a = ln(29/20)
a = 0.07431
to find the population after 100 days , we substitute x = 100,
we get
A = 20* [tex]e^{0.07431\times100}[/tex]
A = 33749.88
A ≈ 33750
Therefore, the number of bees in the bee hive after 100 days is 33750 .
Learn more about Exponential Growth here
https://brainly.com/question/13561318
#SPJ1
Which of the following tests does not include scales for assessing test taker response biases and faking?
a) MMPI-2
b) MCMI-III
c) MMPI-RF
d) Meyers-Briggs Type Indicator
The test that does not include scales for assessing test taker response biases and faking is D. Meyers-Briggs Type Indicator.
Want are the test about?A popular objective personality measure is the Millon Clinical Multiaxial Inventory—Third Edition (MCMI-III). The MCMI-III assesses the presence of psychological disorders, including personality disorders.
The MMPI-2 is a 567-item true/false self-report questionnaire that assesses a person's psychological state. It includes nine validity scales (or 'lie' scales) that assess lying, defensiveness, faking good, and faking bad, among other things.
The MMPI-2-RF provides accurate measurement of 40 dimensional constructs related to personality and psychopathology in the context of the new paradigm (with an additional nine scales measuring protocol validity, or the individual's test-taking approach).
The Myers-Briggs Type Indicator is an introspective self-report questionnaire used in personality typology to identify different psychological preferences in how people perceive the world and make decisions. Introversion/extraversion, sensing/intuition, thinking/feeling, and judging/perceiving are the four categories. Unlike others, this first use a scale.
Learn more about psychology on:
https://brainly.com/question/3951300
#SPJ1
What is the slope of the line shown below?
Answer:
the slope of the line is -2
Step-by-step explanation:
since the line is going downhill the slope is always negative. The top point is 2 lines above the bottom one and 1 over the slope is -2/1 but simplified is just negative 2
Answer:
Step-by-step explanation:
if you use the rise over run equation the slope would be 3/1
Please help will mark Brainly
The equation of the line y = -x/2 + 6, with slope -1/2,
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
slope m = -1/2.
So the line can be formed by (y-y1) = m (x-x1)
(y-7) = -1/2* (x+2)
y = -x/2 - 1+7
y = -x/2 + 6
Hence the equation of the line y = -x/2 + 6.
Learn more about the straight line, by the following link
brainly.com/question/16949303
#SPJ1
Can somebody answer this please
30% of the area under the normal curve lies to the left of -0.52 z - score.
What is z - score?
The relationship between a value and the mean of a group of values is quantified by a Z-score. The Z-score is calculated using standard deviations from the mean. When a data point's Z-score is 0, it means that it has the same score as the mean.
To find the z - score, divide your data point by your standard deviation after taking your data point and subtracting the mean from it.
Here, 30% = 0.30
So,
P(Z < z) = 0.30
From z - table, z - score for the probability 0.30 is -0.5244
-0.5244 ≈ -0.52
Hence, 30% of the area under the normal curve lies to the left of -0.52
z - score.
The option (c) is the correct answer.
To know more about z - score, click on the link
https://brainly.com/question/25638875
#SPJ1
There were 750 books sold last week at Sid's Bookstore. The circle graph below summarizes these books by genre. The central angle for the Mystery slice is 96.48°. How many of the books sold were Mystery books?
The number of the books sold that were Mystery books is 201.
How to calculate the value?From the information, there were 750 books sold last week at Sid's Bookstore. and the central angle for the Mystery slice is 96.48°.
In this case, it should be noted a circle graph has total angle of 360°.
This will be:
= 96.48/360 × 750
= 201
The number of books is 201.
Learn more about angle on:
brainly.com/question/25716982
#SPJ1
Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principal amount, with an interest of 3% compounded quarterly.
Brooklyn wants to deposit $300 as the principal amount, with an interest of 5% compounded monthly. Explain which method results in more money after 2 years. Show all
work.
After two years, compound interest increases your wealth. By the end of two years, compound interest has generated more money than simple interest.
What is simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money. Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the given information provided in the question,
[tex]M = s(1+\frac{i}{c_p} )c_p*y[/tex]
Where,
M represents the amount of money,
s represents the initial amount that is $300,
cp represents the compounding period.
Number of years, y = 2
M = 318,479 for Patrick's investment.
M = 331,482 for Brooklyn
To know more about simple interest:
https://brainly.com/question/25845758
#SPJ1
Doug deposits $4,998 into an interest-bearing account that is compounded continuously. He decides to not deposit or withdraw any money after the initial deposit. The following function represents the balance of the account, which is compounded continuously at a rate of r, after t years.
Which expression approximately represents the rate, r, at which the account is continuously compounded if the account balance is $6,614 after 7 years?
A.
B.
C.
D.
Answer:
interest rate = 0.0400215403 or 4.00215403% or 4%
Step-by-step explanation:
formula
final amount =
initial amount times e^(interest rate times time)
6614 = 4998 times e^(interest rate times 7)
(6614 ÷ 4998) = e^(interest rate times 7)
1.32332933173 = e^(interest rate times 7)
ln means natual log
ln(1.32332933173) = ln(e^(interest rate times 7))
0.28015078214 = interest rate times 7
0.28015078214 ÷ 7 = interest rate
0.0400215403 = interest rate
utub dr ashley godbold
investopedia
Which triangle congruence postulate or theorem proves that these triangles are congruent? Answers given are not specific. Please provide step by step instructions.
Answer:
SAS Congruence Postulate Theorem (Side-Angle-Side Postulate Theorem)
Step-by-step explanation:
The following pictures shows that 2 pairs of sides are equal between the 2 triangles and a single pair of angles are equal. Thus we know that SAS Congruence Postulate Theorem proves that these triangles are congruent.
Help please I need to finish this IXL
If the equation for a line "u" be represented as [y = (-2x + 10)], then the equation of line "v", being parallel to line "u" and passing through the point (-1, 2) will be [y = (-2x)].
As per the question statement, the equation for a line "u" can be represented as [y = (-2x + 10)],
And we are required to determine the equation of another line "v", which is parallel to line "u" and passes through the point (-1, 2).
To solve this question, first we need to know about a property of parallel lines, which is, "Any straight line parallel to a line of known slope will also have the same slope"
Now, the formula to determine the equation of a straight line having a known slope, say "m" and a y-intercept of "c" goes as, [y = (mx + c)], also known as the slope-intercept form of line. Comparing the equation of line "u" with this slope-intercept form, we get, [m = (-2)] and [c = 10].
That is, the slope of line "u" is (-2), and hence, the slope of line "v" must also be (-2) since they are parallel to each other.
Also, the formula to determine the equation of a straight line having a known slope, say "m", and passing through a known point, say (x₁, y₁), goes as, [(y - y₁) = {m(x - x₁)], and using [m = (-2)] and [(x₁, y₁) = ((-1, 2)] in this formula, we get,
[(y - 2) = (-2){x - (-1)}]
Or, [(y - 2) = (-2)(x + 1)]
Or, [(y - 2) = (-2x - 2)]
Or, [y = (-2x - 2 + 2)]
Or, [y = (-2x)]
That is, the equation of line "v", being parallel to line "u" and passing through the point (-1, 2) will be [y = (-2x)]
To learn more about Equations and Parallel Lines, click on the link below.
https://brainly.com/question/26407329
#SPJ1
Copy and complete the table of values for
y = x² + 3x - 2.
2
What numbers replace A, B and C?
X
Y
-3 -2 1 0 1
A
-4 -4
B
C
The numbers replacing A, B and C in the polynomial equation are -2, -2 and 2 respectively.
How to calculate the numbers replacing A, B and C ?In the equation y = x² + 3x - 2,
When x = -3 ,
y = 9- 9- 2
= -2 = A
So, A = -2
When x = 0 ,
y = 0+ 0- 2
= -2 = B
So, B = -2
When x = 1 ,
y = 1 + 3 - 2
=4 -2
=2 = C
So, C = 2
The numbers replacing A, B and C in the polynomial equation are -2, -2 and 2 respectively.
What is a polynomial equation?An equation that has a polynomial set to zero is called a polynomial equation. To put it another way, it is an equation made up of variables, non-negative integer exponents, and coefficients along with operations and the equal sign and exponents of it vary. The equation's degree can be found in the highest one. All equations in algebra are essentially polynomial equations. Depending on its degree, a polynomial equation can have different types. Equations with a degree of two are known as binomial quadratic equations. Equations of degree one are linear polynomial equations. Equations of degree three are known as cubic polynomial equations.To learn more about polynomial equations, refer:
https://brainly.com/question/28947270
#SPJ1
Identify the slope type of the graph shown above. B) Undefined C) Positive D) Negative 4 x-axis 6 8 10
Answer:
The correct answer is B. Vertical lines have an undefined slope.
Which equations are true equations? Select all correct answers. Responses 8⋅72−12=22−2⋅3 fraction numerator 8 times 7 over denominator 2 end fraction minus 12 equals 22 minus 2 times 3 48 ÷ 8 + 2³ = 5 + 3² 48 ÷ 8 + 2³ = 5 + 3² 15052=30−42−12 150 over 5 squared equals 30 minus 4 squared minus 12 92−72=20÷(7−2) 9 squared minus 7 squared equals 20 divided by open parenthesis 7 minus 2 close parenthesis Skip to navigation help asap
The equations that have a true solution include the following:
8⋅72−12=22−2⋅3 fraction numerator 8 times 7 over denominator 2 end fraction minus 12 equals 22 minus 2 times 3.
48 ÷ 8 + 2³ = 5 + 3²
How to determine the true equations?In this exercise, we have to determine the equations that are true and this would be done by simplifying and evaluating each of the equations as follows:
(8 × 7)/2 - 12 = 22 - (2 × 3)
Opening the bracket on both sides of the equation, we have:
56/2 - 12 = 22 - 6
28 - 12 = 16
16 = 16 (True).
48 ÷ 8 + 2³ = 5 + 3²
Next, we would evaluate the exponents as follows:
48 ÷ 8 + 8 = 5 + 9
6 + 8 = 14
14 = 14 (True).
150/5² = 30 - 4² - 12
By evaluating the exponents, we have the following:
150/25 = 30 - 16 - 12
6 = 2 (False).
9² - 7² = 20 ÷ (7 - 2)
Opening the bracket, we have the following:
9² - 7² = 20 ÷ 5
By evaluating the exponents, we have the following:
81 - 49 = 4
32 = 4 (False).
Read more on equation here: brainly.com/question/18912929
#SPJ1
Write an equation of the line that passes through the given point and is perpendicular to the given line. (-8, 4) ; y = 7
The equation of line that passes through the given point is y = 4.
m is the line's slope and b is its intercept in the equation y = mx + b. The letters x and y stand for the line's separation from the x- and y-axes, respectively. When x = 0, the value of b equals y, and m indicates how steep the line is. The gradient of a line is another name for its slope.Given line : y = 7
So, the slope (m₁ = 0 )
Let's consider the slope of the line perpendicular to the given line as m₂,
m₁ * m₂ = -1
m₂ = 0
Now,
The equation of the line perpendicular to the given line and passing through the point (−8,4) will be
y−y₁ = m(x−x₁)
y−4 = 0(x−(−8)
y-4 = (0)(x+8)
y -4 = 0
y = 4
Thus, the equation of the required line is y = 4.
To know more equation check the below link:
https://brainly.com/question/3493733
#SPJ1
Find the missing values in the ratio table. Then write the equivalent ratios.
The equivalent ratios are 6:3, 24:12 and 18:9.
According to the question,
We have the following information:
We have a table where number of people and benches are given.
(Note that equivalent ratios mean that when we simplify it then the ratio should be equal to the original ratio.)
Now, we will find the equivalent ratios column-wise:
In first column, we have 6 and 3.
6:3
Now, in second column, we have:
_:12
Now, dividing 12 by 3, we have 4.
Multiplying 4 into 6:
24:12
Now, in third column, we have:
18:_
Dividing 18 by 6:
18/6 = 3
Multiplying 3 by 3:
18:9
Hence, the equivalent ratios are 6:3, 24:12 and 18:9.
To know more about equivalent ratios here
https://brainly.com/question/13513438
#SPJ1
I need help with this question
Answer:
0
Step-by-step explanation:
[tex]f(-2)[/tex] is the value of [tex]y=f(x)[/tex] at [tex]x=-2[/tex]
The x-intercept of this line is -4. What do you notice?
Answer:
I notice the x intercepts affects the slope of the equation
Step-by-step explanation:
Answer:
Given: The equation of the rainbow has a shape of a parabola:
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points
We will draw a line that will be intersected with the parabole at two points and one of them has x = 4
See the following picture:
As shown in the figure, the plane takes off from the point (-18, 0)
And it makes a slanted line that cuts through the rainbow at two points.
The equation of the linear function will be: y = 0.5x + 9
The table of the linear function will be as follows:
2. What is the domain and range of the rainbow?
Domain = all the possible value of x = ( -∞, ∞ )
Range = all the possible value of y = ( -∞ , 27 )
3. Explain what the domain and range represent in context.
The domain is all the possible values of x that can be substituted into the function
So, as we have a polynomial function, the domain will be all real numbers
The range is all the possible values of y that will be results when we have substituted with the x-values
As we have a parabola, the range will be ( -∞ , 27 )
What are the X- and y-intercepts of the rainbow?
As shown in the figure:
There are two points:
Step-by-step explanation:
39% of 80 percent and estimation
Using percentage, 39% of 80 percent is calculated and given as 31.2.
percentage :
A percentage is a number or ratio expressed as a fraction of 100or A percent is one one-hundredth (1/100) of something.It is denoted by % symbol.It is a latin word means "by hundred"the abbreviations for percentage is "pct.", "pct"given equation is calculated as:
x = 39 percent of 80
x = 39% of 80
x = 39% x 80
x = (39/100) x 80
x = 31.2
therefore, 39 percent of 80 is 31.2
Using percentage, 39% of 80 percent is calculated and given as 31.2.
To know more about percentage
brainly.com/question/28269290
#SPJ1
What is the value of the discriminant in the equation shown below?
x² - 6x + 4 = 0
Answer:
20
Step-by-step explanation:
b² - 4ac = (-6)² - 4(1)(4) = 36 - 16 = 20
The elephant's water tank holds 2,560 gallons of water. After two weeks, the zookeeper measures and finds that the tank only has 1,934 gallons of water left. If the elephant drinks the same amount of water each day, how many days will a full tank of water last?
Answer:
aprox 57 days
Step-by-step explanation:
2560-1934=626
626/14=44.7142857143
2560/44.7142857143=57.25 days
please help 3
what is (gof)(x)if f(x)=2x+3 and g(x)=x/4
gof(x) is x/2+3/4 for functions f(x)=2x+3 and g(x)=x/4
What is a function?A relation is a function if it has only one y-value for each x-value.
Composite functions are when the output of one function is used as the input of another.
Given,
f(x)=2x+3 and g(x)=x/4
g circle f of x equal to g of f of x.
and gof(x)=g(f(x))
g circle f of x equal to g of two times of x plus three.
gof(x)=g(2x+3)
gof(x)=(2x+3)/4
=2x/4+3/4
gof(x)=x/2+3/4
Hence gof(x) is x/2+3/4 for functions f(x)=2x+3 and g(x)=x/4
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
A tire company paid $4,992 for 64 tires.
Part A
Which expression shows the best estimate for the cost of each tire using compatible numbers?
O A 5,000+50
OC 4,200-60
Part B
Which is the most reasonable estimate for the cost of each tire?
OA $70
OC. $90
OB. 5,000+60
OD. 4,800+60
OB. $80
OD. $100
I did not understand part A but the answer for part B is OB. $80. hope this helps!
12. Find the standard deviation, o, for the binomial distribution which has the stated values
of n and p. Round your answer to the nearest hundredth.
n = 21; p = 0.2
The Standard deviation of binomial distribution is 1.833
The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure.
There are two parameters n and p used here in a binomial distribution
According to the question
For binomial distribution its given
Number of trails :n = 21
Probability of success : p = 0.2
Probability of failure : q = 1 - p
q = 1 - 0.2
=> 0.8
Standard deviation of binomial distribution = √npq
substituting the values
Standard deviation = √(21)(0.2)(0.8)
= √3.36
taking square root,
Standard deviation = 1.833
To know more about Binomial Distribution here
https://brainly.com/question/14565246
#SPJ1
A box is 45cm long and 32cm wide when 36000cm^3 of sand is put into it what is the height of the sand
The height of the sand is 25cm
How to calculate height?
First the volume formula is height × long × wide. So, we can calculate height by dividing the volume by the long and wide.
= 36,000 ÷ 45 ÷ 32
= 25cm
Thus, the height of the sand is 25cm
Learn more about volume here:
brainly.com/question/1578538
#SPJ1
Please help I need help please
Answer:
x=56
106 degrees
Step-by-step explanation:
Since it’s in a flat plane these 2 angles added together equal 180 degrees
2x-6+74=180
2x+68=180
-68. -68
2x=112
/2. /2
x=56
To find unknown angle just replace x with 56
2(56)-6
112-6
106 degrees
Hopes this helps please mark brainliest
213) 150 Chinese Yuan is about $21 US dollars. How much in Chinese Yuan) will an item cost if it's $50 US dollars?
Answer:
357.12 Yuan
Step-by-step explanation:
Set it up as a proportion
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50)
Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50)
What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / square root of N
Val's margin of error is of 10 pounds rounded to the nearest whole number.
What is a confidence interval?In statistics, a confidence interval is a range to estimate for unknown terms. The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
Margin of error can be calculated by the following equation:
M = 1.96 s /√n
where s is the standard deviation. n is the sample size.
In this problem:
The standard deviation is 50, hence s = 50
Val weighed 100 cows. n = 100
Then:
M = 1.96 s /√n
M = 1.96 x 50 /√100
M = 1.96 x 50 /10
M = 9.8
Therefore, Val's margin of error is of 10 pounds rounded to the nearest whole number.
You can learn more about margin of error at brainly.com/question/14510808
#SPJ1
Question What is the effective annual yield for an account paying 7% interest compounded monthly? Round your answer to two decimal places.
Answer:
See below
Step-by-step explanation:
NOT SURE WHY MY PREVIOUS ANSWER GOT DELETED
(1 + .07/12)^12 = 1.07229 WHICH IS 7.229 % a.p.y.
( same answer....less detail)
Using the properties of logarithms, rewrite In (x5). Answers: A.) x5 B.) 5(logx) C.) e5 D) 5In x
The given logarithmic expression [tex]ln(x^5)[/tex] can be expressed as 5*lnx.
so option (D) is correct.
What is a logarithmic expression?
A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.
The given logarithmic expression is [tex]ln(x^5)[/tex]
Property of logarithms: [tex]ln(x^n) = nln(x)[/tex]
So by using the above property, we can rewrite the given expression as
[tex]=ln(x^5)\\=5ln(x)[/tex]
Hence, the given logarithmic expression [tex]ln(x^5)[/tex] can be expressed as 5*lnx.
To learn more about logarithmic expressions, visit:
https://brainly.com/question/20473168
#SPJ1
What is the image of (0, -3) after a dilation by a scale factor of 1/3 centered at the origin?
The image of (0, -3) after dilation by a scale factor of 1/3 centered at the origin is : (0, -1)
Given point P (0, -3)
The point is dilated by a scale factor of 1/3 centered at the origin is equivalent to multiplying the point by 1/3 for both the co-ordinates.
Therefore, the new point is given by :
P' = (0×(1/3), (-3)×(1/3))
P' = (0, -1)
To know more about image :
https://brainly.com/question/28361327
#SPJ1
Image of (0,-3) after dilation is (0,-1).
Scale factor = 1/3
Given point = (0,-3)
To find image of a point, we multiply the co-ordinates of the given point by scale factor.
Therefore, image = (0*(1/3),-3*(1/3))
= (0,-1)
Hence, image of point (0,-3) is (0,-1).
To learn more about Image here:
https://brainly.com/question/25029470
#SPJ1
Simplify: 2(5 + 3y) + (y + 10)
