Answer:
-1
Step-by-step explanation:
did math on caculator
In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues, what will be the population in 10 more years? Round your answer to the nearest whole number.
Answer:
Final population after 10 years
= 288911718
Step-by-step explanation:
Present population p = 258,316,051
Rate of growth R%= 1.12%
Number of years t= 10 years
Number of times calculated n = 10
Final population A
= P(1+r/n)^(nt)
A= 258,316,051(1+0.0112/10)^(10*10)
A= 258,316,051(1+0.00112)^(100)
A= 258,316,051(1.00112)^100
A= 258,316,051(1.118442762)
A= 288911717.6
Approximately A= 288911718
Final population after 10 years
= 288911718
Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8
Which mathematical concepts were the result of the work of René Descartes? Check all that apply. theory of an Earth-centered universe formula for the slope of a line Pythagorean theorem for a right triangle problem solving by solving simpler parts first Cartesian plane for graphing trusting previous teachers for knowledge
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.
We have,
The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.
Now,
In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.
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complete question:
Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.
3/2 equals 4x x=
?????
Answer:
0.375
Step-by-step explanation:
3/2 equals 1 and a half, and 1 and a half divided by 4 will get you 0.325
Answer:
4x - 2 = 3x + 1. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1.
Is anyone here like rlly good at algebra bc im not and I kinda forgot What my teacher told me so-
(b + 516= 1000)
I have no clue what to do so-….
Answer:
The question is asking you to subtract 516 from 1,000 to find b.
\(1,000 - 516 = 484\)
Therefore, b = 484
Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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Help! is my answer correct?
Answer:
yeah you're right
Step-by-step explanation:
the difference of the product of 2 and x, and 9?
Answer:
2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.
Step-by-step explanation:
Find the ratio(SOHCAHTOA)
Answer:
Answer is D
Step-by-step explanation:
CAH
\(COS =\) \(\frac{adjacent}{hypotenuse} \\\)
in this case the adjacent is 9 and the hypotenuse is 40 so it would be
\(COS = \frac{9}{40}\)
Vertex of y= (x +4) ^2+ 2
Answer:
the vertex is (-4,2)
Step-by-step explanation:
What method can you use to find the area of the
composite figure? Check all that apply.
decompose the figure into one rectangle and one
triangle, and add the areas
decompose the figure into two trapezoids, and add
the areas
find the area of the larger rectangle, then subtract
the area of the square
find the area of the larger rectangle, then subtract
the area of the two small triangles
O find the area of the larger rectangle
To find the area of the composite figure:-
We can use following methods-
1. Decompose the figure into one rectangle and one triangle and add the area.
2. Decompose the figure into two trapezoids and add the area.
3. Find the area of the larger rectangle, then subtract the area of the two small triangle
What is composite figure?"It is shape that is made up of two or more geometric shapes"
What is area of triangle?A = 1/2 × b × h
where b is the base of the triangle and 'h' is the height of the triangle
What is the area of rectangle?A = l × w
where l = length of the rectangle
w = width of the rectangle
For given example,
We need to find the area of the composite figure.
To find the area of the composite figure:-
We can follow-
1. Decompose the figure into one rectangle and one triangle and add the area.
2. Decompose the figure into two trapezoids and add the area.
3. Find the area of the larger rectangle, then subtract the area of the two small triangle
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Answer: A, B, and D
Step-by-step explanation:
Juan ran the lemonade stand for 3 more days
Answer:
We need more information to be able to answer your question.
identify the property being demonstrated
if x/5 = 7, then x=35
a. division
b. multiplication
c. reflexive
d. symmetric
Answer:
\( \: \: \: \: \: \: \: \: \: \: \dfrac{x}{5} = 7 \\ \implies \: x = 7 \times 5 \\ \implies \: x = 35\)
So,b. multiplication
Answer:
A. division
Step-by-step explanation:
\(x/5=7\)
\(x\) is being divided by an integer.
\(x=35\)
\(35/5=7\)
35 divided by 5 is equal to 7.
If 3220 = 8+7, what is the value of c?
01
02
03
05
Answer:
c = 3
Step-by-step explanation:
\( 32^{2c} = 8^{c + 7} \)
\( (2^5)^{2c} = (2^3)^{c + 7} \)
\( 2^{10c} = 2^{3c + 21} \)
\( 10c = 3c + 21 \)
\( 7c = 21 \)
\( c = 3 \)
Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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Cost, Revenue, Profit
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on cost, revenue and profit.
Round your answers to two decimal places as needed.
You decide to begin selling frozen bananas at the local park. Your cost for each frozen banana is $2.25 plus you have to pay a fixed weekly fee of $120 for the booth. Your plan is to sell each frozen banana for $3.51.
1. Write a function, Cin), to represent your total costs for the week if you sell n frozen bananas. C(n) 2.25 + 120
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week. R(n) 3,5ln
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week. P(n) 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number. 95.23809524 frozen bananas
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of________
Answer:
1. C(n) = 2.25n + 120
2. R(n) = 3.51n
3. P(n) = 1.26n - 120
1. 96 frozen bananas must be sold in order to make a positive profit.
2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.
Step-by-step explanation:
1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.
Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:
C(n) = 2.25n + 120
Where 2.25n is the total variable cost while 120 is the total fixed cost.
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.
Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:
R(n) = 3.51 * n
R(n) = 3.51n
Where 3.51 is the selling price per unit while n the number of units sold.
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.
Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:
P(n) = R(n) - C(n)
P(n) = 3.51n - 2.25n + 120
P(n) = 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.
This can be obtained by equating the profit function to zero and solve for n as follows:
P(n) = 0 => 1.26n - 120 = 0
Therefore, we have:
1.26n = 120
n = 120 / 1.26
n = 95.2380952380952 frozen bananas
Writing it as a whole number, we have:
n = 95 frozen bananas
However, using this whole number will result in a negative profit by substituting it into the profit function as follows:
P(n) = (1.26 * 95) - 120 = -$0.30
Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:
P(n) = (1.26 * 96) - 120 = $0.96
Therefore, 96 frozen bananas must be sold in order to make a positive profit.
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of 96 frozen bananas.
please help me
Simplify 6(11p)
Answer:
66p
Step-by-step explanation: remove the parenthesis then multiply 6 x 11p = 66p
I really need this please
\((2^{\frac{1}{2}})^n=\frac{2^x}{2^{3y}}\\2^{\frac{1}{2}n}=2^{x-3y}\\\frac{n}{2}=x-3y\\n=2x-6y\)
The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer:
(a) y intercept is approximately 4.3
(b) \(y = 1.5x+4.5\)
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where \(x =0\)
From the attached graph; By observation
\(y \approx 4.3\) when \(x =0\)
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where
\((x_1,y_1) = (9,18)\)
\((x_2,y_2) = (8,16.5)\)
So:
\(m = \frac{16.5- 18}{8 - 9}\)
\(m = \frac{-1.5}{- 1}\)
\(m = 1.5\)
The equation is then calculated using:
\(y =m(x - x_1) + y_1\)
Where: \(m = 1.5\) and \((x_1,y_1) = (9,18)\)
\(y = 1.5(x - 9) + 18\)
\(y = 1.5x - 9*1.5 + 18\)
\(y = 1.5x - 13.5 + 18\)
\(y = 1.5x+4.5\)
James wants to tile his floor using tiles in the shape of a trapezoid. To make
the pattern a little more interesting he has decided to cut the tiles in half
along the median. The top base of each tile is 13 inches in length and the
bottom base is 19 inches. How long of a cut will John need to make so that
he cuts the tiles along the median?
A. 16 inches
B. 3 inches
C. 6 inches
D. 32 inches
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The period of a function represents _____.
the displacement of x at which the graph begins to repeat
the displacement of y at which the graph begins to repeat
the displacement of y from the central axis of the wave
the displacement of x from the central axis of the wave
michael can bike 2 miles in 12 minutes how long will it take him to bike 7 miles
42 minutes for 7 miles
Give the slope of a line perpendicular to the one given.*
15.
y = x -
- 4
Answer:
-5 is the slope of the perpendicular line
Step-by-step explanation:
to get the slope of a line perpendicular to another, you usually flip the numerator and denominator of the other line's slope then change the sign, from positive to negative or negative to positive. (every whole number is divisible by one, so if you would want to flip a whole number like 4 it would become 1/4).
Simplify -3f+0.4j-12-1+2.9f
Answer:
-0.1f + 0.4j - 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
TermsStep-by-step explanation:
Step 1: Define
-3f + 0.4j - 12 - 1 + 2.9f
Step 2: Simplify
Combine like terms (f): -0.1f + 0.4j - 12 - 1Combine like terms (Z): -0.1f + 0.4j - 13Please help me ASAP THANKS
Answer:
i think its 1 or 3 or 5 if not what i moslty think it is is (((( 4 )))
Step-by-step explanation:
i hope this helps may luck be with YOU! :)
What should be the third row in the following series of shapes
Answer:
The answer is number 2
From the equation, find the axis of symmetry of the parabola.
y=-4x² + 24x-35
a. X=1
b. x=-1
PD
Ο Α
OB
O C
OD
C.
d.
x=3
X=-3
Please select the best answer from the choices provided
The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
We know that the method to find the axis of the symmetry of the parabola is given by:
x = - b / 2 a
We have the general equation of the parabola as:
y = a x² + b x + c
We have the equation of the parabola as:
y = - 4 x² + 24 x - 35
Comparing from this equation, we get that:
a = - 4
b = 24
c = - 35
Now, substituting the values, we get that:
x = - 24 / 2 (- 4)
x = - 24 / - 8
x = 24 / 8
x = 3
Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
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NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet