4966.5
Step-by-step explanation:
Starting at finding out how the population will increase in 3 years we take 3 and divide it by 4. This produces an increase of 75% every 3 years. If we multiply 2838 by 75% we get 2128.5. If we add it back to 2838, we get 4966.5
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
The initial size of a culture of bacteria 1100. After 1 hour, the bacteria count is 9500.
Find the function n(t)=no
that models the population after
hours.
Find the population after 1.5 hours.
Then Find the number of hours when the number of bacteria will reach 20,000.
Sketch the graph of the population function.
To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:
n(t) = n0 * e^(kt)
Where:
n(t) is the population after t hours,
n0 is the initial population size,
e is the base of the natural logarithm (approximately 2.71828),
k is the growth rate constant.
We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:
\(9500 = 1100 * e^(k*1)\)
To find k, we can divide both sides by 1100:
9500/1100 = e^k
Now, we can solve for k by taking the natural logarithm (ln) of both sides:
ln(9500/1100) = ln(e^k)
ln(9500/1100) = k
Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):
\(n(t) = 1100 * e^(ln(9500/1100) * t)\)
To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:
\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)
To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:
\(20,000 = 1100 * e^(ln(9500/1100) * t)\)
Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.
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$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
cos xº [Hint: Change degree into radian] find the derivative from definition
The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)
Finding the derivative of the functionFrom the question, we have the following function definition that can be used in our computation:
cos(xº)
Changing the degree into radian, we have
cos(xπ/180)
Express as a function
So, we have
y = cos(xπ/180)
When the cosine function is differentiated, we have
y' = -sin(xπ/180)
Hence, the differentiated function is y' = -sin(xπ/180)
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What is the standard form equation of an ellipse that has vertices (−2,−18) and (−2,8) and foci (−2,−14) and (−2,4)?
Answer:
Hello,
Step-by-step explanation:
All is in the picture.
B=(-2,8), O=(-2,-5)
b=BO=8+5=13
F_1=(-2,4) O=(-2,5) Focus distance=4+5=9
Horizontal half axis=√(b²-f²)=√88
Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9
what would the y-value be for an x-value of -3?Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".
So, if we want to find the value of y when we have x = -3, then:
We need to find the value x = -3 on the horizontal axis.Then we move vertically upwards (or downwards, depending on the case) until we reach the graphed equation.Once we reached the graphed equation, we move horizontally until we meet the vertical axis.The value at which we meet the horizontal axis gives the value in the range related to the value in the domain from which we started.Following these steps, you should be able to see that, when x = -3, the value of y is -9
So we conclude that the y-value for x = -3, is y = -9
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what is 4(1 + 9x) simplified?
Answer:
4 + 36x is your expression
Step-by-step explanation:
4 x 1 = 4
4 x 9x = 36x
so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.
Answer:
4 + 36x
Step-by-step explanation:
distribute
4 x 1 = 4
4 x 9x = 36x
put answer together to make new equation
4 + 36x
1098+7+6 +54321+.++-112345 6 7 8 9 10XMAMD.M.D.2: Name the data setfor the dot-plot above.
Given:
The dot-plot graph is shown.
The objective is to find the data set.
Since, the dots are plotted at the points,
\(x=2,3,5,6,10\)Therefore, the data set will be 2 , 3 ,5 , 6 , 10.
Hence, option (1) is correct.
Which is equivalent to
Answer:
2·2·2·2 = 16
Step-by-step explanation:
everytime a number is raised by another, that means you are going to multiply the base number times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:
2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:
2² = 2 · 2 = 4
2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:
2³ = 2 · 2 · 2 = 8
In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:
2^4 = 2·2·2·2 = 16
the same format will be used regardless of the base number and the exponent
i hope this helps! :)
I need help with my math
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
\(\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}\)Step 3: Substituting the values and to get the equation
\(\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\)\(\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}\)The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
It is a square pyramid with a base edge of 706 feet and an original height of 470 feet.
Answer: That would be the Khafre Pyramid
Step-by-step explanation:
Kelvin, Celsius, and Fahrenheit are three types of
scales.
Answer:
Temperature
Step-by-step explanation:
the internet does wonders
Kelvin, Celsius, and Fahrenheit are three types of scales used to measure temperature. They all are related with each other as they all measure same thing, which is 'temperature'.
How are Kelvin, Celsius, and Fahrenheit related?We have got an equation that can relate these three units of measurement of temperature, as given below:
\(\dfrac{C}{5} = \dfrac{F - 32}{9} = \dfrac{K - 273}{5}\)
where C represents the measurement of a fixed temperature in Celsius, F represents the measurement of that same intensity temperature in Fahrenheit, and K represents the measurement of equally intense temperature in Kelvin.
Thus, Kelvin, Celsius, and Fahrenheit are three types of scales used to measure temperature. They all are related with each other as they all measure same thing, which is 'temperature'.
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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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Will give brainlyest
Drag the tiles to the correct boxes to complete the pairs
Find the missing the coordinates
A2.5 6.5 and 1) are
three vertices of square ABCD. What are
the coordinates of vertex
A2.33.37.33 and are
three vertices of square ASD What are
the coordinates of verte 2
O
AS-13.8.-1) and ansare
three vertices of rectangle ASD What
are the coordinates of vertex
A-L 4.80.4 and 7-13 are
three vertices of rectangle AS What
are the coordinates of verte
Answer:
I am trying to find the answer to this question as well, go to another website, maybe even Quizlet
Step-by-step explanation:
Thomas has 19 playing cards. He gives 6 playing cards to his brother.
How many playing cards does Thomas have now?
Answer:
13 playing cards
Step-by-step explanation:
Thomas = 19 playing cards
Brother = 6 playing cards (which give Thomas)
Thomas = 19 playing cards - 6 playing cards = 13 playing cards
Answer:
\(\huge\boxed{\sf 13\ cards}\)
Step-by-step explanation:
Thomas has total = 19 playing cards
He gave away = 6 cards
Thomas have now:
=> 19-6
=> 13 cards
what do you add to get the pattern 1, 8, 15, 22, 29 36, 43
Answer:
7
Step-by-step explanation:
Finding the common difference of an arithmetic sequence is easy peasy lemon squeezy. All you have to do is take any term and subtract it from the next one. For instance, if you take 1 and subtract it from 8, you get 7. If you take 8 and subtract it from 15, you get 7 again. You can do this for any pair of terms and you will always get 7. That's the common difference of the sequence 1, 8, 15, 22, 29, 36, 43. It means that you just add 7 to each term to get the next one. Isn't that neat?
Seven more than the product of a number and 9 equals 3.
Answer:
9x+7=3
Have a great day!
Complete the following statement. Percent is a fraction where parts make one whole.
Answer:
Percent is a fraction where the denominator is represented by 100 or 100 parts make one whole.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A percentage is a fraction whose denominator is 100, or how many parts make one whole.
What is percent?A number or ratio that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred. The word "per 100" means "per percent." The number "%" is used to symbolize it.
For given statement
A fraction with 100 as the denominator is called a percent.
Thus, a whole is made up of 100 parts. The percentage represents the number of relevant parts out of a total of one hundred.
For instance, 10% is represented by the decimal number 0.10 or the fraction 10/100.
Similarly, the decimal equivalent of 25% is 0.25, or the fraction 25/100.
Because 100/100 equals 1, 100% corresponds to the number 1.
Hence the statement is Percent is a fraction where the denominator is represented by 100 or 100 parts make one whole.
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HELPP !! A pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of
7% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S
Answer:
w=5000+0.7s
Step-by-step explanation:
please give 5 star I need it
Let S = {r, e, l, a, x} and T = {i, t, s, o, k, a, y}. Find n(S), n(T), n( ∪ ), and n( ∩ ).
The value of n (S) is 5, n (T) is 7, n (∪) is 11 and n (∩) is 1. The solution has been obtained by using the given sets.
What is a set?
Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is symbolised by a capital letter. The number of items in the finite set is known as the cardinal number of a set.
We are given two sets as S = {r, e, l, a, x} and T = {i, t, s, o, k, a, y}.
Now,
n (S) = 5
This is because there are 5 elements in this set.
n (T) = 7
This is because there are 7 elements in this set.
S ∪ T = {r, e, l, a, x, i, t, s, o, k, y}
n (∪) = 11
This is because there are 11 distinct elements in the sets.
S ∩ T = {a}
n (∩) = 1
This is because there is only 1 element common in the sets.
Hence, the required solution has been obtained.
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Consider the experiment of rolling fair six-sided die until a 5 is observed. Let A be the event that a 5 is observed on the first roll. Let B be the event that it takes at least two rolls for the first 5 to be observed. Find the following probabilities. (Round to nearest 4 decimal places)
P(A∩B)
P (A)
P(B)
Answer:
P(A∩B) = 0
P(A) = 0.1667
P(B) = 0.8333
=================================================
Explanation:
The events
A = a 5 is observed on the first rollB = it takes at least two rolls for the first 5 to be observedare mutually exclusive. There isn't any overlap. This is because event B involves "at least 2 rolls", meaning we cannot get 5 on the first roll. Either event A happens, or B does, but not both at the same time.
This allows us to say P(A∩B) = 0
In a venn diagram, the overlapped region between circles A and B would have probability 0 marked inside.
-----------------------
P(A) = 1/6 since there is exactly one side labeled "5" out of 6 sides total. This converts to the approximate decimal form 1/6 = 0.1667 when rounding to four decimal places. The 6's go on forever, but of course we have to round at some point.
------------------------
We found that P(A) = 1/6. The complement to this is 1-(1/6) = 5/6, which is the probability of rolling anything but a "5". This fraction represents the scenario "at least 2 rolls are needed for the 1st '5' to show up" since we forced the first roll to be anything but 5.
Put another way, we have two options:
Option 1: The first roll is "5". The probability is 1/6Option 2: The first roll is NOT "5" (so you'll need to do at least another roll to get "5"). The probability is 5/6.The two probabilities 1/6 and 5/6 add to 6/6, aka 1, to represent 100% of all possible cases. This means P(A)+P(B) = 1 for this scenario.
The fraction 5/6 converts to the approximate decimal form of 5/6 = 0.8333; use a calculator or long division to determine this value.
Only need evens I’ll give brainlist
The standard forms of the quadratic equations are listed below:
Case 6: z² - 4 · z - 5
Case 8: 2 · x² - 18
Case 10: 2 · l² - 3 · l - 20
Case 12: 5 · q² + 24 · q - 5
Case 14: 6 · m² - 6
Case 16: 10 · a² - 19 · a + 6
Case 18: 2 · x² - 3 · x · y + y²
The standard forms of the cubic equations are listed below:
Case 20: t³ + 3 · t² + 6 · t + 4
Case 22: m³ + 6 · m² + 14 · m + 15
How to expand a quadratic equation into standard equation
In this problem we find eight quadratic equations in factor form, whose standard form must be determined. Each form is introduced below:
Factor form
a · (x - r₁) · (x - r₂)
Standard form
a · x² + b · x + c
Where:
a - Lead coefficientb, c - Other coefficientsx - Independent variable.y - Dependent variable.The transformation can be done by algebra properties:
Case 6
(z - 5) · (z + 1)
z² - 4 · z - 5
Case 8
(2 · x - 6) · (x + 3)
2 · (x - 3) · (x + 3)
2 · (x² - 9)
2 · x² - 18
Case 10
(2 · l + 5) · (l - 4)
2 · l · (l - 4) + 5 · (l - 4)
2 · l² - 8 · l + 5 · l - 20
2 · l² - 3 · l - 20
Case 12
(q + 5) · (5 · q - 1)
q · (5 · q - 1) + 5 · (5 · q - 1)
5 · q² - q + 25 · q - 5
5 · q² + 24 · q - 5
Case 14
(2 · m + 2) · (3 · m - 3)
2 · (m + 1) · 3 · (m - 1)
6 · (m + 1) · (m - 1)
6 · (m² - 1)
6 · m² - 6
Case 16
(5 · a - 2) · (2 · a - 3)
(5 · a - 2) · 2 · a - (5 · a - 2) · 3
10 · a² - 4 · a - 15 · a + 6
10 · a² - 19 · a + 6
Case 18
(x - y) · (2 · x - y)
2 · x · (x - y) - y · (x - y)
2 · x² - 2 · x · y - x · y + y²
2 · x² - 3 · x · y + y²
The following two cases belong to cubic equations:
Case 20
(t + 1) · (t² + 2 · t + 4)
t² · (t + 1) + 2 · t · (t + 1) + 4 · (t + 1)
t³ + t² + 2 · t² + 2 · t + 4 · t + 4
t³ + 3 · t² + 6 · t + 4
Case 22
(m + 3) · (m² + 3 · m + 5)
(m + 3) · m² + 3 · (m + 3) · m + 5 · (m + 3)
m³ + 3 · m² + 3 · m² + 9 · m + 5 · m + 15
m³ + 6 · m² + 14 · m + 15
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The cost of dress in a shop is 320.00 for more than more than the cast: If a customer of a pair of pays 305.00 for the turo items. How much does each cost.
The price of each of these be
A dress market at Rs.120 is 96A pair of shoes market at Rs.750 is 600A bag market at Rs.250 is 200.What is discount?The discount is determined by dividing the purchase price by the item's par value. Discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate. (Discount List Price) 100 is the formula used to determine the rate of discount. The discount is the amount that is subtracted from the selling price in the formula. [(List price - Selling price)/List price] 100 is an additional formula for computing discount percentages.The simplest definition of a price is the sum of money exchanged by a buyer and seller for a good or service.A. Price \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)
B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)
C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)
The complete question is.
A shop gives 20% discount. What would the price of each of these be?
A dress market at Rs.120
A pair of shoes market at Rs.750
A bag market at Rs.250
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What are the magnitude and direction is u+v+w? ||v|= 60 ||w||=50 ||u||= 80
The angle formed between this vector and the positive x-axis measures around 61.26° and goes in a counterclockwise direction.
How to solveFirst, we calculate the components:
u = (80cos(30°), 80sin(30°)) ≈ (69.28, 40.00)
v = (60cos(60°), 60sin(60°)) ≈ (30.00, 51.96)
w = (50cos(120°), 50sin(120°)) ≈ (-25.00, 43.30)
Now, let's find the resultant vector (u+v+w):
u+v+w = (69.28 + 30.00 - 25.00, 40.00 + 51.96 + 43.30) ≈ (74.28, 135.26)
The magnitude of the resultant vector ||u+v+w|| can be found using the Pythagorean theorem:
||u+v+w|| = √(74.28² + 135.26²) ≈ 152.44
To find the direction, we calculate the angle θ:
θ = atan2(135.26, 74.28) ≈ 61.26°
The total size of the composite vector, obtained by adding u, v, and w, amounts to a value close to 152.44.
The angle formed between this vector and the positive x-axis measures around 61.26° and goes in a counterclockwise direction.
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The three vectors are in two-dimensional space and have the following components:
u = (80cos(30°), 80sin(30°))
v = (60cos(60°), 60sin(60°))
w = (50cos(120°), 50sin(120°))
What are the magnitude and direction is u+v+w? ||v|= 60 ||w||=50 ||u||= 80
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms. y=(3x+4)(-2x-3)
Answer:
\( y = -6x^2 -17 x -12\)
And since the higher exponent for the x term is 2 we can classify the equation as quadratic
Quadratic term: -6
Linear term: -17
Constant term: -12
Step-by-step explanation:
For this problem we have the following equation:
\( y = (3x+4)(-2x-3)\)
And we can distribute the terms and we got:
\( y = -6x^2 -9x -8x -12\)
And solving we got:
\( y = -6x^2 -17 x -12\)
And since the higher exponent for the x term is 2 we can classify the equation as quadratic
Quadratic term: -6
Linear term: -17
Constant term: -12
What is the simplified form of 7 log3x + 4 log3z – 6 log3y?
The simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).
What is the simplified form of the expressionWe can simplify the expression using the following logarithmic rule:
log a + log b = log ab (product rule)
log a - log b = log(a/b) (quotient rule)
c log a = log a^c (power rule)
Using these rules, we can simplify 7 log3x + 4 log3z - 6 log3y as follows:
7 log3x + 4 log3z - 6 log3y
= log3x^7 + log3z^4 - log3y^6 (using the power rule)
= log3(x^7 z^4 / y^6) (using the quotient rule)
Therefore, the simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).
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Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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Perform the indicated operation and simplify.
(3x – 6(5x + 1)
Answer:
Give her brainiest
Step-by-step explanation:
Need the answer to this problem
Answer: -8 word form negative 8 over 21
21
Step-by-step explanation: Cross multiply like this
3 1
8 7
do 3x7 and 1x8 then put both answers together like this-> - 8
21
the answer would be -8 over 21 since you cross multiplied and its a negative fraction you add the negative sign.
Please answer this your award will be 20 points for the first answer and brainliest
Step-by-step explanation:
pool = 1600 sq.cm
1600 sq.sm = 50cm × 32cm
AB = 50cm
the area of the park of A'B' :
50cm×4=200 sq.cm