Research and find out the 10 countries where the population. is growing fastest and the 10 countries where it is the slowest growing. Explain how this information is related to the concept of percentage increase and decrease. You can either present this on a chart or have someone film you are explaining it.
A bag contains 9 green marbles, 6 purple marbles, 4 red marbles, 10 blue marbles, and 7 orange marbles. One marble is randomly selected from the bag.
What is the probability that the marble selected is blue or purple?
Answer as a Fraction, not simplified.
So, the answer as a fraction is 16/36.
What is fraction?A fraction is a mathematical expression that represents a part of a whole or a ratio between two quantities. It is written as one number (the numerator) placed above another number (the denominator) and separated by a horizontal line. For example, 3/4 is a fraction where 3 is the numerator and 4 is the denominator. The numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts that make up the whole. Fractions can also be written in decimal or percentage form. Fractions are commonly used in everyday life, such as in cooking recipes, measurements, and financial calculations.
There are 6 purple marbles and 10 blue marbles, so there are 6 + 10 = 16 marbles that are either blue or purple.
The total number of marbles in the bag is 9 + 6 + 4 + 10 + 7 = 36.
Therefore, the probability of selecting a blue or purple marble is 16/36.
So, the answer as a fraction is 16/36
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
In 1991, the moose population in a park was measured to be 4330. By 1999, the population was measured again to be 5850. Assume population continues to change linearly.
A)find a formula for the moose population,P since 1991.
B)what does your model predict the moose population to be in 2002?
Answer:
a) Let’s assume that the moose population, p, changes linearly with time t (in years since 1991). We can use the given data to find the slope of the line that represents the population change. The slope is (5850-4330)/(1999-1991) = 190 moose/year. The equation of the line is p = 190(t) + 4330.
b) According to this model, the moose population in 2002 would be p = 190(2002-1991) + 4330 = 6490 moose.
Step-by-step explanation:
The states C and D spend a total of $56.8 million for tourism. The state C spends $1.8 million more than the state D. Find the amount that each state spends on tourism.
D spends $___ million on tourism , and state C spends $___million on tourism.
Let's denote the amount that state D spends on tourism as "x" million dollars. According to the given information, state C spends $1.8 million more than state D, so state C would spend "x + 1.8" million dollars on tourism.
The total amount spent by state C and state D combined is $56.8 million. So we can write the equation:
x + (x + 1.8) = 56.8
Now, we can solve this equation to find the values of x and x + 1.8, which represent the amount spent by state D and state C, respectively.
x + x + 1.8 = 56.8
2x + 1.8 = 56.8
2x = 56.8 - 1.8
2x = 55
x = 55 / 2
x = 27.5
So, state D spends $27.5 million on tourism, and state C spends $27.5 + $1.8 = $29.3 million on tourism.
KPI Payouts are: Prepaid Ring-out Only: $ 1.00 Prepaid Activation: $ 2.00 Accessories: 1.5 Equipment Protection: $ 1.00 You can make $ and ring it out at the POS. % when you activate a prepaid device with equipment protection
If no accessories are sold, $3 will be paid out. In the event that accessories are sold, the compensation is $2.00 plus $1.00 plus 1.5 percent of their worth.
Based on the information given, the KPI payouts are:
$1.00 for each Prepaid Ring-out Only
$2.00 for each Prepaid Activation
1.5% of the value of each Accessories sale
$1.00 for each Equipment Protection sale
We need to know the values of the prepaid activation and equipment protection in order to compute the payment for activating a prepaid device with equipment protection. Assume that the equipment protection is worth $Y and the prepaid activation is worth $X.
The following would be the total payment for activating a prepaid device with equipment protection:
Payout = $2.00 (for activation) + $1.00 (for equipment protection) + 1.5% (of the value of accessories sold)
If no accessories are sold, the payout would be:
Payout = $2.00 + $1.00
= $3.00
If accessories worth $Z are also sold, the payout would be:
Payout = $2.00 + $1.00 + 1.5% of $Z
= $2.00 + $1.00 + 0.015Z
So the payout for activating a prepaid device with equipment protection depends on the value of the accessories sold.
Therefore, If no accessories are sold, the payout is $3.00. If accessories are sold, the payout is $2.00 + $1.00 + 1.5% of the value of the accessories sold.
To learn more about Percentage from the given link.
brainly.com/question/29967647
#SPJ1
Which of the following credit cards offers the lowest MONTHLY interest rate? *Canadian Express (19.9 % per year) *Virtual School Gold Card (1.67 % interest per month) *Bank of Brennan Super Credit Card (4.99 % every 3 months)
a) Virtual School Gold Card
b) Bank of Brennan Super Credit Card
c) Canadian Express
d) Bank of Brennan Super Credit Card & Canadian Express
Answer: a) Virtual School Gold Card
Step-by-step explanation: To compare the monthly interest rates of the three credit cards, we need to convert the annual and quarterly rates to monthly rates.
For Canadian Express, the monthly interest rate is 19.9% / 12 = 1.6583%.
For Virtual School Gold Card, the monthly interest rate is 1.67%.
For Bank of Brennan Super Credit Card, the monthly interest rate is (4.99% / 4) = 1.2475%.
Therefore, the Virtual School Gold Card offers the lowest monthly interest rate at 1.67%.
Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations that can be used to solve for y are y(y + 5) = 750, y² – 5y = 750 and y(y – 5) + 750 = 0
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form.
The equations that can be used to solve for y, the length of the room are:
1. y(y + 5) = 750
2. y² – 5y = 750
3. y(y – 5) + 750 = 0
Option 1 and 2 are quadratic equations that can be solved by factoring, completing the square, or using the quadratic formula. Option 3 is also a quadratic equation but it requires rearranging to the standard form before applying the same methods. The last option, (y + 25)(y – 30) = 0, is not a quadratic equation but it can be easily solved using the zero product property.
To learn more about quadratic equation from the given link:
brainly.com/question/30098550
#SPJ1
Order each amount from least to greatest
1 pint, 2 gallons, 3 quarts, 3 cups
Hey there, I believe I missed the lesson on how to solve for x and y from this photo. Any help and guidance would be appreciated!
Answer:
Try using Special Right Triangles
Step-by-step explanation:
I think it is a carry-on of special right triangles. Since it is 90 degrees let's just assume it is a 60,30,90 triangle. we know the long leg is 6 from the x-6 on the bottom left, and 4rad3 is the hypotenuse.
Long leg: rad 3
Short leg: 1
Hypotenuse: 2
use these ratios to help
I would put 4rad3 across from 2 and y across from 1
aka: 4rad3/y = 2/1
also 4rad3 across from 2 and x across from rad 3
aka:4rad3/x=2/rad3
to find y you simplify
and
to find x also simplify
14 points!! PLEASE HELP MARKING BRAINLIST
Answer:
x = 58.03°
Step-by-step explanation:
Given:
17 cm is the length of the hypotenuse9 cm is the length of the adjacent sideSolve for x:
cos x = adjacent / hypotenusex = [tex]cos^{-1}(\frac{adjacent}{hypotenuse})[/tex]1. [tex]x=cos^{-1}(\frac{9}{17})=58.03[/tex]
Answer:
So, the measure of angle x is equal to 58.03.
What are the solutions to the quadratic equation below?
10x17x+3=0
O A.
x=-
x=-- and x = -1/
5
O B. x=² and x = 1/
X
O C. x=
3
10
15
and x = 1
OD. x=3 and x = 1
Answer:
The given quadratic equation is: 10x^2 + 7x + 3 = 0.
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 10, b = 7, and c = 3.
Substituting these values into the formula, we get:
x = (-7 ± sqrt(7^2 - 4(10)(3))) / 2(10)
x = (-7 ± sqrt(49 - 120)) / 20
x = (-7 ± sqrt(-71)) / 20
Since the square root of a negative number is not a real number, this quadratic equation does not have any real solutions. Therefore, none of the options (A), (B), (C), or (D) are correct.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 12 , 18 , 27 , . . . Find the 8th term.
Answer: 205.031(nearest thousandth)
or 205.03125
Step-by-step explanation:
Measure angle of A= 65°, b= 15, c=? (Round answers to the nearest hundredth.)
Answer:
c = 35.493
Step-by-step explanation:
Because this is a right triangle, we can use one of the trigonometric ratios to solve for c.
If we allow angle A to be our reference angle, we see that b is the side adjacent to angle A and side c is the hypotenuse. Thus, we can use the cosine ratio as
[tex]cosine(x)=\frac{adjacent}{hypotenuse}[/tex]
In context of the problem, we can rewrite the equation as
[tex]cos(65)=\frac{15}{c}[/tex], where we're solving for c:
[tex]c*cos(65)=15\\c=15/cos(65)\\c=35.49302375\\c=35.493[/tex]
differentiate with respect to x the implicit function sin(y)+x^2y^3-cos(x)=2y
Answer:
To differentiate the implicit function sin(y) + x^2y^3 - cos(x) = 2y with respect to x, we will use the chain rule and product rule.
First, we will take the derivative of both sides of the equation with respect to x:
d/dx [sin(y) + x^2y^3 - cos(x)] = d/dx [2y]
Next, we will differentiate each term on the left side of the equation:
cos(x) - 2xy^2 dx/dx + 3x^2y^2 + sin(y) dy/dx = 2 dy/dx
We can simplify this equation by moving all the terms involving dy/dx to the left side:
cos(x) - 2xy^2 - 2 dy/dx sin(y) = dy/dx [2 - sin(y)]
Now we can solve for dy/dx by isolating it on one side of the equation:
dy/dx [2 - sin(y)] = cos(x) - 2xy^2
dy/dx = (cos(x) - 2xy^2) / [2 - sin(y)]
Therefore, the derivative of the implicit function sin(y) + x^2y^3 - cos(x) = 2y with respect to x is:
dy/dx = (cos(x) - 2xy^2) / [2 - sin(y)]
Julia drew s sketches of flowers. She split them evenly among her 3 pen pals. Write an expression that shows how many sketches each pen pal received.
Answer:
s/3
Step-by-step explanation:
since she drew s drawings and split them among 3 penpals, it would be s/3, for example, 6 drawings/ 3 would be 2 drawings for each person.
Find the value of m.
Answer:
2
Step-by-step explanation:
add them and make them equal to 90 because its a right angle
5m+80=90
subtract 80 to isolate m
5m=10
divide 5 to isolate m even more
m=2!
I'LL MARK THE BRAINLIEST!!!!!!
Consider 8 = − 2/3x. Which is the BEST first step to take when solving the given equation?
A) Multiply each side by 3/2.
B) Multiply each side by −3/2.
C) Multiply each side by −2/3.
D) Add 2/3x to each side.
Oriana's Pizza Kitchen has an oven that is shaped like a
rectangular prism. Inside, the oven is 5 feet wide and 4
feet deep so it can bake
their super large pizzas. It is also 3 feet high. What is
the oven's volume?
12 ft³
15 ft3
60 ft³
20 ft³
Answer:
Step-by-step explanation:
Use the graph to answer the question. Graph of a polygon ABCD with vertices at 4 comma 4, 12 comma 4, 12 comma 8, 4 comma 8 and a second polygon A prime B prime C prime D prime with vertices at 1 comma 1, 3 comma 1, 3 comma 2, 1 comma 2. Determine the scale factor used to create the image. one half 2 one fourth 2.5
Given polygons ABCD and A'B'C'D' have scale factors of 1/4 since their respective side ratios are the same.
What is scale-factor?The amount by which a shape is made smaller or larger is referred to as its scale factor. This method is employed when a 2D polygon, irregular or regular shape, such as a circle, triangle, square, or rectangle, needs to be enlarged larger. In the equation y = px, p is the scale factor for x. One may identify the scale factor between any two shapes or figures by comparing the measurements of the new shape to those of the prior shape.
Scale factor = Dimensions of new shape/Dimensions of original shape
given the original polygon's coordinates:
A(4,4) ; B(12,4) ; C(12,8) ; D(4,8)
Distance AB = X₂ - X₁
= 12 - 4
= 8 units
Distance BC = Y₂ - Y₁
= 8 - 4
= 4 units
Distance CD = X₂ - X₁
= 12 - 4
= 8 units
Distance DA = Y₂ - Y₁
= 8 - 4
= 4 units
Added coordinates for the new polygon:
A'(1,1) ; B(3,1) ; C(3,2) ; D(1,2)
Distance A'B' = X₂ - X₁
= 3 - 1
= 2 units
Distance B'C' = Y₂ - Y₁
= 2 - 1
= 1 units
Distance C'D' = X₂ - X₁
= 3 - 1
= 2 units
Distance D'A' = Y₂ - Y₁
= 2 - 1
= 1 units
Scale factor = [tex]\frac{A^{\prime} B^{\prime}}{A B}=\frac{B^{\prime} C^{\prime}}{B C}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} A^{\prime}}{D A}[/tex]
[tex]\frac{A B}{A^{\prime} B^{\prime}}=\frac{2}{8}=\frac{1}{4}\\\\\frac{B^{\prime} C^{\prime}}{B C}=\frac{1}{4}\\\\\frac{C^{\prime} D^{\prime}}{C D}=\frac{2}{8}=\frac{1}{4}\\\\\frac{D^{\prime} A^{\prime}}{D A}=\frac{1}{4}[/tex]
Scale factor = [tex]\frac{A^{\prime} B^{\prime}}{A B}=\frac{B^{\prime} C^{\prime}}{B C}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} A^{\prime}}{D A}=\frac{1}{4}[/tex]
The image was reduced using a one-fourth scale factor.
To know more about scale-factor, visit:
https://brainly.com/question/29967135
#SPJ1
Refer to the attachment for the graph.
The supply and demand for a product are related to price by the following equations, where y is the price, in dollars, and x is the number of units, in thousands. Find the equilibrium point for this product.
y=300+40x
y=9300-50x
helpp..
Answer: At equilibrium, the supply and demand are equal, so we can set the two equations equal to each other:
300 + 40x = 9300 - 50x
Simplifying and solving for x:
90x = 9000
x = 100
Now that we know x, we can use either equation to find y:
y = 300 + 40(100) = 4300
So the equilibrium point is when x = 100 and y = 4300.
Step-by-step explanation:
30 points
Need help Asap!!
If segment AC and segment BC are tangent to circle O, find the value of x.
Answer:
its 160
Step-by-step explanation:
Answer:
160°
Step-by-step explanation:
You want the central angle marked x defined by the radii to two tangents that meet at a 20° angle.
KiteThe central angle AOB (marked x) and the exterior angle ACB are supplementary. This means x is ...
x = 180° -20° = 160°
The value of x is 160°.
__
Additional comment
The sum of all angles in the kite shape is 360°. The angles at A and B are both 90°, leaving 180° for the total of the angles at O and C.
<95141404393>
A container in the shape of a rectangular prism has a height of 2 feet. Its length is four
times its width. The volume of the container is 200 cubic feet. Find the length and width of
the container.
Answer: length = 20 feet and width = 5 feet
Step-by-step explanation: Volume is equal to volume = height * width * length. The questions tells us the total volume is 200 cubic feet and that the lenght is equal to length = 4w. Set up the equation 4w * w * 2 = 200 cubic feet. Multiply to get 8w^2 = 200 and solve for w.
The ratio of union members to nonunion members working for a company is 4 to 5. If there are 140 nonunion members working for the company,
what is the total number of employees?
The total number of employees is 112.
Explain numbers
Numbers are symbols or representations used to quantify or count objects, quantities, or measurements. They form the basis of mathematical operations, such as addition, subtraction, multiplication, and division, and are used in various fields such as science, finance, and engineering. Numbers can be positive, negative, whole, or fractional, and are essential for communication and calculation in our daily lives.
According to the given information
Let's use x to represent the total number of employees.
According to the problem, the ratio of union members to nonunion members is 4 to 5. This means that out of every 4 + 5 = 9 employee, 4 are union members and 5 are nonunion members.
So, we can set up the following proportion:
4/9 = x/(x - 140)
To solve for x, we can cross-multiply and simplify:
4(x - 140) = 9x
4x - 560 = 9x
560 = 5x
x = 112
Therefore, the total number of employees is 112.
To know more about numbers visit
brainly.com/question/17429689
#SPJ1
There is four questions I just want to make sure I have them right for question 11 I’m not sure. But 12-14 just want to make sure.
11. A number (n) is equal to 60 decreased by 3 times the number. What’s the value of n?
A: 180
B: 57
C: 23
D: 17
E:15
12. 28 is equal to 4 more than 3 times a number. What’s the number?
A: 7
B: 8
C: 10
D: 16
E: 40
13. A soccer league had 120 children sign up. Twenty more girls than boys signed up. Let x equal the number of boys who signed up. Which equation could be used to solve for the number of boys?
A: x + x =120
B: 2x =120
C: x +(x +20) =120
D: 120 - x = x +20
E: x+20x =120
For question 14 I will show the picture below
The value of n is equal to: E. 15.
Since 28 is equal to 4 more than 3 times a number, the number is equal to: B. 8.
An equation that could be used to solve for the number of boys is: C. x + (x + 20) = 120.
The distance from Parker to Davis is equal to: E. 140.
How to determine the unknown number?In this exercise, you are required to determine the unknown number as follows;
n = 60 - 3n
3n + n = 60
4n = 60
By dividing both sides of the equation by 4, we have the following:
n = 60/4
n = 15.
Assuming the unknown number is x, we have the following;
28 = 4 + 3x
3x = 28 - 4
3x = 24
By dividing both sides of the equation by 3, we have the following:
x = 24/3 = 8.
An equation that could be used to solve for the number of boys is given by;
x + (x + 20) = 120.
Total distance = x + 10 + 2x
220 = 3x + 10
3x = 210
x = 210/3
x = 70
From Parker to Davis, we have;
2x = 2(70) = 140 miles.
Read more on equation here: brainly.com/question/4110837
#SPJ1
find the value for each variable in simplest radical form
The values are;
1. x = 6 ,y = 6√2
2. x = 9√2, y = 18
3. x = y = 9
4. x = 12, y = 12√2
5. x = y = 4√2
6. x = y =( 3√2)/2
What trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
There are some special angles , in which 45 is part of them.
sin 45 = 1/√2
cos 45 = 1/√2
tan 45 = 1
1. x = 6 ( isosceles triangle)
y = 6 × √2 = 6√2
2. x = 9√2 ( isosceles triangle)
y = 9√2 × √2 = 9×2 = 18
3. x = 9√2/√2 = 9
x = y = 9 ( isosceles triangle)
4. x = 12 ( isosceles triangle)
y = 12×√2 = 12√2
5. x = 8/√2 = 8√2/2 = 4√2
x = y = 4√2( isosceles triangle)
6. x = 3/√2 = (3√2)/2
x = y =( 3√2)/2 ( isosceles triangle)
Learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
Please help will mark Brainliest
Step-by-step explanation:
5 cos (307) = 3
5 sin (307) = -4
just plot the point ( 3, -4 ) Done.
Answer:
The point is (3, -4) because 5 cos [307] = 3 and 5 sin [307] = -4
Which of these expressions could Alex and Taylor use to calculate the square footage of the tile Dining area? Find only the tile floor, and not the cabinets shown in black. Select all that apply.
A 34 foot by 13 foot grid. The kitchen is flush left. It has an 18 foot by 2 foot horizontal rectangle in the top left of the grid. Under the far left and right sides of the rectangle are two 6 foot by 2 foot vertical rectangles. There are two other horizontal rectangles on the bottom left of the grid that are 2 foot by 6 foot. There is a 4 foot gap between them. The dining room is on the right with a 12 foot by 2 foot rectangle in the top right of the grid.
Select answers
(16 x 13) - (12 x 2)
(4 x 13) + (12 x 2) + (12 x 11)
(17 x 11) + (4 x 2)
(4 x 13) + (12 x 11)
Expressions for the square footage of the tile Dining area, Considering only the tile floor, and not the cabinets shown in black will be (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11)
How to calculate the area of rectangle?The area of a rectangle is a measure of the amount of space it occupies in two-dimensional (2D) space. It is calculated by multiplying the length of the rectangle by its width. Mathmatically,
[tex]Area=length*width[/tex]
Now, Solving given problem,
The total area of the grid will be:Length of grid = 16 ft, Width of grid = 13 ft
Total area of grid = Length x Width = 16 ft x 13 ft = 208 sq ft
The area of the rectangle in the top right :Length of rectangle = 12 ft, Width of rectangle = 2 ft
Area of rectangle = Length x Width = 12 ft x 2 ft = 24 sq ft
To remove the top right rectangle from the tile dining area, subtract its area from the total area of the grid:
(Total area of grid) - (Area of rectangle in top right) = (208 sq ft -24 sq ft )= 184 sq ft
So, the expression for this calculation will be: (16 x 13) - (12 x 2) = 184 sq ft
The area of the vertical rectangles on the far left and right sides is calculated as follows:Width of vertical rectangles = 4 ft, Length of grid = 13 ft
Area of vertical rectangles = Width of vertical rectangles x Length of grid = 4 ft x 13 ft = 52 sq ft
The area of the rectangle in the top right:Length of rectangle = 12 ft, Width of rectangle = 11 ft
Area of rectangle = Length x Width = 12 ft x 11 ft = 132 sq ft
Add the areas of the vertical rectangles and the rectangle in the top right to get the total area of the tile dining area:
Area of vertical rectangles + Area of rectangle in top right = 52 sq ft + 132 sq ft = 184 sq ft
So, the expression for this calculation is: (4 x 13) + (12 x 11) = 184 sq ft
Hence, both of these expressions- (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11) gives the square footage of the tile dining area based on the given information.
Learn more about Areas here:
https://brainly.com/question/27683633
#SPJ1
I need this by today at 11:59 PM please help.
From given sample space, No. of toothpicks each student will get is 51.
What exactly is a sample space?
In mathematics, a sample space is the set of all possible outcomes of an experiment or a random phenomenon. It is denoted by the symbol "S" and is a fundamental concept used in calculating probabilities. For example, when flipping a coin, the sample space is {heads, tails}. When rolling a fair six-sided die, the sample space is {1, 2, 3, 4, 5, 6}. The sample space for a more complex event may involve multiple variables and outcomes.
Now,
Total Toothpicks = 918
Total students = 18
then
Toothpicks per student = 918/18=51
Hence,
No. of toothpicks each student will get is 51.
To know more about sample space visit the link
brainly.com/question/30206035
#SPJ1
What is the volume of a cube with a length of 11 meters? Volume V = $³ V = /w/z V = Bh V=²h Cube Rectangular prism Triangular prism Cylinder OA) 33 m³ B) 121 m³ C) 1,221 m² D) 1,331 m³ or V = Bh
Answer:
The volume of a cube with a length of 11 meters is 33 m³.
please help me
To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 12%.
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
The exponential function showing the relationship is y = 2300(1 + 0.12)^t
The exponential function showing the relationshipThe exponential function showing the relationship between y and t can be written as:
y = 2300(1 + 0.12)^t
where 2300 is the initial number of bacteria cells, 0.12 is the growth rate (12% expressed as a decimal), and t is the time in hours since the start of the study.
This function is obtained by using the formula for exponential growth, which is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is the time.
In this case, a = 2300, r = 0.12, and y represents the amount of bacteria cells after t hours.
Read more about exponential function at
https://brainly.com/question/2456547
#SPJ1
