Answer:
-2
Step-by-step explanation:
Follow you finger 2 marks on the x axis and then move your finger up or down to say the resulting y value
The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number
Answer:
It will take 9 years for the population to double
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
\(P=P_o(1+r)^t\)
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
\(2P_o=P_o(1+0.08)^t\)
Simplifying:
\(2=(1.08)^t\)
Taking logarithms:
\(\log 2=\log (1.08)^t\)
Applying the exponent property of logs:
\(\log 2=t\log (1.08)\)
Solving for t:
\(\displaystyle t=\frac{\log 2}{\log (1.08)}\)
Calculating:
\(t\approx 9\)
It will take 9 years for the population to double
m/3 = 4
solve m.
Please show your work
In an amphitheater, there are 20 seats in the front row, 23 seats in the second row, 26 seats in the third row, and so on, in an arithmetic sequenc A) Write an explicit formula to find an. The number of seats in the nº row.
B) The last row in the amphitheater has 83 seats in it. How many rows a seats are there?
C) Write an expression using sigma notation that represents the total number of seats in the amphitheater.
D) Evaluate this expression. How many total seats are there?
For the given arithmetic sequence we have:
A) \(A_n = 20 + (n - 1)*3\)B) 22 rows.C) \(\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)\)D) There are 1,133 seats in total.How to write the formula for the sequence?
We know that we have 20 seats on the front row, and then we add 3 more on each row, so the formula will be:
\(A_n = 20 + (n - 1)*3\)
This gives the number of seats on the n-th row.
B) The last row has 83 seats, then we need to solve:
\(A_n = 20 + (n - 1)*3 = 83\\\\(n - 1)*3 = 83 - 20 = 63\\\\n - 1 = 63/3 = 21\\\\n = 21 + 1 = 22\)
So we conclude that there are 22 rows.
C) The total number of seats will be:
\(\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)\)
D) Instead of using the sum above (we should add 22 terms) we use the general formula for the sum of N terms in an arithmetic sequence:
\(S_N = (N/2)*(2A_1 + (N - 1)*d)\)
In this case, we replace N by 22, and d is the common difference of the sequence, which we know is equal to 3, so we wil have:
\(S_{22} = (22/2)*(2*20+ (22 - 1)*3) = 11*(40 + 21*3) = 1,133\)
There are 1,133 seats in total.
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Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
164 cm.
Step-by-step explanation:
First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.
Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.
Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.
After all this, I added everything together. 60 + 24 + 80 = 164.
Sorry, I'm not the best at explaining things.
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
What is the value for y in the following expression y=-2x+8 when x=20
Answer:
y = -32Step-by-step explanation:
\(y=-2x+8\\\\x=20\)
Substitute ; x =20 in given equation
\(y =-2(20 )+8\\\\y = -40+8\\\\y = -32\)
I am between 30 and 50.
The sum of my digits is 10.
My ones digit is greater than
my tens digit. I am not 37.
Who am I?
Help
Me please please
The average rate of change is $22.50 per class
The total amount for 5 classes is $117.5The first class is $27.50 due to the studio charging $5 as the registration fee How to determine the average rate of changeThe table of values represent the given parameter
The average rate of change is calculated as
Rate = Change in T(c)/Corresponding change in c
So, we have
Rate = (50 - 27.50)/(2 - 1)
Rate = 22.50
The total amount for 5 classesWe start by calculating the function from
T(c) = mc + b
Where
m = Rate = 22.50
So, we have
T(c) = 22.5c + b
Using the points, we have
22.5 * 1 + b = 27.50
So, we have
b = 5
So, we have
T(c) = 22.5c + 5
For 5 classes, we have
T(5) = 22.5 * 5 + 5
T(5) = 117.5
Why the first class is 27.50The first class is 27.50 because the studio charges a registration fee of $5
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Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm 20, start text, space, c, m, end text and width 16 \text{ cm}16 cm 16, start text, space, c, m, end text. The painting and frame together form a larger rectangle with length 25 \text{ cm}25 cm 25, start text, space, c, m, end text and width 20 \text{ cm}20 cm 20, start text, space, c, m, end text. Find the area of the frame.
Answer:
180cm²
Step-by-step explanation:
Area of the frame = area of the frame+ painting - area of painting.
Area of a rectangle = Length × Width
Area of the painting = 20cm×16cm
Area of the painting = 320cm²
Area of the paint+ frame = 25cm×20cm
Area of the paint+ frame = 500cm²
Area of the frame = 500cm²-320cm²
Area of the frame = 180cm²
Hence the area of the frame is 180cm²
Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package. If we want one hot dog for each bun for a picnic, what is the least amount of each we need to buy? help plz
Answer:
we need to buy 8 packs of hot dogs and 10 packs of hot dog buns
Step-by-step explanation:
2. for each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum. (use the most obvious choice of form for the general term of each sequence.)
The general term of each sequence that are given are \(a_{n} = n+2 / 2\) ; nEN for the each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum.
The infinite sequence that are generally number's that doesn't have any ending and are called as the infinite sequence and other that have finite sequence which have final numbers.
Here given infinite sequence are :
\(a1 =1 , a2= 0 , a3= 0 , a4 = 1.\\closed form of infinite sequence is an = 1 and 0 otherwise.\\sequence that s given is 3,2,4,1,1,1 and\\ a1 = 3 , a2 2 , a3= 4, a4= 1.\\an = 3, n =1, a2 = 2, a3 = 4, \\no n= 1, n=2, n=3 1 otherwise\\Given sequence is 1,3,6,10 ,15 \\then an = n+2 /2.\)
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the periodic transfer of a portion of the cost of an intangible asset to expense is referred to as
The periodic transfer of a portion of the cost of an intangible asset to expense is known as amortization. This is the process of spreading the cost of an intangible asset over its useful life, similar to how depreciation is used for tangible assets like buildings and equipment.
Intangible assets, such as patents, copyrights, and trademarks, do not have a physical existence but still have value to the company. Amortization recognizes the decline in value of these assets over time and helps to accurately reflect their impact on the company's financial statements.
The amount of amortization each period is calculated by dividing the cost of the asset by its estimated useful life. It is important for companies to track and properly account for their intangible assets, including amortization, as it can have a significant impact on their financial statements and overall financial health.
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!*EMERGENCY, WILL GIVE BRAINLIEST QUICK*!
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Slope -48, 9 ,48 ?
y-intercept 432, C, 6, 9?
(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)
TABLE-------
HOURS, H / CUPS, C
0 / 432
3 / 288
6 / 144
9 / 0
Answer:
Slope is -48, y-intercept is 432
\(y = - 48x + 432\)
Step-by-step explanation:
\(m = \frac{432 - 288}{0 - 3} = \frac{144}{ - 3} = - 48\)
\(432 = - 48(0) + b\)
\(432 = 0 + b\)
\(b = 432\)
\(y = - 48x + 432\)
What is the highest value assumed by the loop counter in a correct for statement with the following header? for(i = 7; i <= 72; i += 7)
Select one:
a. 7
b. 70
c. 77
d. 72
The highest value assumed by the loop counter in a correct "for statement" with the given header is (b) 70.
The "for-statement" is ⇒for(i = 7; i <= 72; i += 7) ,
The loop starts with i = 7 and increases by 7 in each iteration until i becomes greater than 72.
So we can find the highest value of "i" assumed by the loop counter by solving the inequality i <= 72 for i.
⇒ i <= 72
Starting with i = 7 and increasing by 7 in each iteration,
We have,
⇒ i = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77
The last value of i in the sequence, 77, is greater than 72, so the loop counter stops before reaching 77.
So, the highest value assumed by the loop counter in this for statement is : 70.
Therefore, the highest value assumed by the loop counter is (b) 70.
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a solid lies inside the sphere x2 y2 z2 = 6z and outside the cone z = x2 y2 . write a description of the solid in terms of inequalities involving spherical coordinates
The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.
To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:
x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ
Substituting these values in the given equations, we get:
r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ
Simplifying these equations, we get:
r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ
Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:
r² = 6 cosθ
And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:
r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)
Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:
r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)
This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.
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Solve the following system
b-C= 8
b+ 2C = 5
Your answer
Answer:
b = 7
c = -1
Step-by-step explanation:
you can solve the first equation for 'b' to get:
b = 8 + c
now substitute the expression '8+c' for 'b' in the second equation to get:
8 + c + 2c = 5
8 + 3c = 5
3c = -3
c = -1
now solve for 'b':
b = 8 + (-1)
b = 7
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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Solve the inequality
6(x/2+4)≥9
3x+24=9
3x=9-24
3x=-15
x=-5
Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation.
Answer:
$76-$14-$24=$38
Step-by-step explanation:
She owed her mother $76, and has paid back $38, leaving $38 left to be paid. If this helped, please mark as Brainliest :)
Answer:
76-14-24 or another expression is 14+24-76
Step-by-step explanation:
the answer for the expression is 38
Please!!!!!!!!! someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.
The answer choices are at the bottom.
This is a big test.
Please help!!!
Answer:
(1 suptlimary) ( 2. 41) (3. alternate exterior) (4. 149)
Step-by-step explanation:
A water cooler can hold 50 pt of water.
About how many liters of water can it hold?
1 Litter equals about 1.06 pt
A. 23.6 L
B. 26.5 L
C. 94.3 L
D. 106.0 L
Answer:
The water cooler can hold approximately 23,6L
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
What is the slope of a line which passes through the points (-6, 4) and (4, 6)?
A) 5
B)1/5
C)2
D)1/2
Answer:
1/5
Step-by-step explanation:
To find the slope between two points, we use the formula
m = ( y2-y1)/(x2-x1)
= ( 6-4)/(4 - -6)
= ( 6-4)/(4+6)
= 2/10
= 1/5
Geometry Question help?
Measure of all angles must equal 180 degrees.
Therefore,
(4x+20) + (2x+34) + x = 180
6x + 54 + x = 180
7x + 54 = 180
7x = 126
x = 18
4(18)+20 = 92
Angle A = 92
2(18)+34 = 60
Angle C = 60 degrees
Unknown angle is 18 degrees because the "x" represents the third angle.
Mariah had 2 2/4 bags of soil to use in her garden. After her gardening she had 3/4 of a bag left. How much soil did she use?
Answer:
\(\frac{7}{4}\) of a bag of soil
Step-by-step explanation:
Given: Mariah had \(2\frac{2}{4}\) bags of soil to use in her garden. After her gardening, she had \(\frac{3}{4}\) of a bag left
To find: quantity of soil used.
Solution:
Quantity of soil in the garden = \(2\frac{2}{4}=\frac{10}{4}\) bags of soil
Quantity of soil left = \(\frac{3}{4}\) of a bag
Quantity of soil used \(=\frac{10}{4}-\frac{3}{4}=\frac{7}{4}\) of a bag of soil.
What is the measure of X?
108°
108°
2x
2x
72°
144
36
360°
What is the equation of the translated function, g(x), if f(x) = x2?
Answer:
Its D
Step-by-step explanation:
Just took the test and got a 96%
Answer:
d
Step-by-step explanation:
fart
Find the x value of the system of equations. Use the technique of ELIMINATION to solve this problem. Proper work must be shown on your work submission. 3x-2y=4 5x+y=11 the answer choices are 2 , -1 , 1 , -2
Answer:
2
Step-by-step explanation:
Given the equation :
3x - 2y = 4 - - - (1)
5x + y = 11 - - - (2)
Multiply (1) by 1 and (2) by 2
3x - 2y = 4 - - - - - (3)
10x + 2y = 22 - - (4)
Add (3) and (4)
13x = 26
x = 26/13
x = 2
Simplify the following expression. 5 - ⅘(2.5n - 2)
The answer is,
\(5 - \frac{4(2.5n - 2)}{5} \)
What 3x+4 divided by 2x-3??
Answer:
2X-5
Step-by-step explanation: