The continuous growth rate per year of the world population is 0.664%.
What is defined as Exponential Growth?Exponential growth occurs when the growth of a quantity at any point in time has been proportional towards its value at that point. If we have a few numbers, we could use simple exponential growth models to determine the population.We've been told to assume that population is growing at an exponential rate. As a result, we can employ the population model shown below.
N(t) = N₀ e∧(kt)
Here, N(t) represents the population after t years, N₀ represents the initial population, and k represents the continuous growth rate.
We've been told that initial population of 6.9 billion will increase to 9 billion in 40 years (2050-2010).
To use this information, we calculate the growth rate using the model described below.
N(40) = 6.9 e∧(40k)
N(40) = 9 (given)
9 = 6.9 e∧(40k)
Taking ㏑ both side
㏑ 9 = ㏑ 6.9 e∧(40k)
40k = ㏑(9/6.9)
k = 0.00664
k = 0.664%
Thus, the continuous growth rate per year of the world population is 0.664%.
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An equation is shown.
y-7= -4(x+6)
Complete the statements.
The equation rewritten in slope intercept form is [DROP DOWN 1].
The point [DROP DOWN 2] is on the graph of the line.
DROP DOWN 1?
Answers:
Slope intercept equation is y = -4x - 17
The point (-6, 7) is on the graph of the line.
====================================================
Explanation:
Let's solve for y
y - 7 = -4(x+6)
y - 7 = -4x - 24
y = -4x - 24 + 7
y = -4x - 17
It is now in slope intercept form y = mx+b
m = -4 = slope
b = -17 = y intercept
---------------
Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)
The (x1,y1) is a point the line goes through.
Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))
We can see that x1 = -6 and y1 = 7
Therefore, the point (x1,y1) = (-6,7) is on the line.
My brain can’t think straight and I’m trying to figure out the difference in the solution to a graph of a linear equation and the solutions to the graph of a linear inequality
For a linear equation the solutions are on the line, while for inequalities the solutions are above or below the line (sometimes the line is also included).
What are the differences?When we have a linear equation of the form:
y = line
The solutions on the graph of this equation are the points on the line.
Now, for inequalities like:
y > line
or
y < line.
The solutions are all the points above (or below) the line itself.
Finally, for inequalities like:
y ≥ line
y ≤ line
The solutions are above (below) the line and the line itself.
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The arc corresponding to a central angle of 65 in a circle of radius 10 feet measure feet.
The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.
What is Arc of circle?
The arc of circle is defined as the segment of the circumference of a circle.
Given that;
Central angle = 65°
Radius of a circle = 10 feet.
Now, To find arc of circle, we change measure of angle in radian as;
1 degree = π/180 radian
65 degree = 65 x π/180 radian
65 degree = 1.134 radian
Since, Arc = Angle x radius
Arc = 1.134 x 10
Arc = 11.34 feet.
Thus, The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.
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A rectangular photo measures 18cm by 7cm. the lengths are enlarged in the ratio 2:3. what is the ratio of the area of the original photo to the area of the enlarged photo?
The ratio of the area of the original photo to the area of the enlarged photo is 2.253
What is rectangle ?
It is a common geometrical shape having 4 sides and four vertices and each side making 90 degree with the adjacent side.
Surface area of rectangle is given as :
s = 2(lb+bh+hl)
Volume of rectangle is given as :
V= lbh
Area of rectangle is given as ;
A = lb
If a rectangular photo measures 18cm by 7cm initially, the area of the photo before enlargement will be expressed as :
A1 = Length * breadth
A1 = 18 x 7
A1 = 126 cm²
If the photo is enlarged in the ratio 2:3 then increase/decrease in length and breadth will be :
2 : 3 = 2/3 = 0.66
This is 33% decrease of its dimensions’ measurements.
Length of the photo after decrement = 18 x 2/3 = 12 cm
breadth of the photo after decrement = 7 x 2/3 = 4.66 cm
Area of the decreased photo A2 = 12 x 4.66 cm² = 55.92 cm²
The ratio of the area of the original photo to the area of the enlarged photo = A1/A2 = 126 / 55.92
= 2.253
Therefore, the ratio of the area of the original photo to the area of the enlarged photo is 2.253.
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Given that 48 ≤ n ≤ 1296 and 24 ≤ d ≤ 36, what are the largest and smallest values
that the expression n/d can possibly have?
Write your answer smallest ≤ n/d≤ largest.
Answer:
69420
Step-by-step explanation:
2 +2 is 4 minus 1 that's 3 quick math
A roll of paper is L m long. N pieces each of length rm are cut off the roll. If the length of paper left is Pm, write a formula for P. Use your formula to find the length of paper left from a roll that was 20 m long after 10 pieces, each of length 1.5 m, are cut off. idor each of length asm. If the perimeter
Length of paper left is 5 m.
What is length?
Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. Height, sometimes known as vertical length or vertical extent, and width, breadth, or depth are all words used to describe the length of a stationary object. When length is the longest dimension, width or breadth generally refer to the shorter one.
Length of paper left = 20-(1.5x10) = 20-15 = 5 m.
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WILL GIVE BRAINLIST IF ANSWERED CORRECTLY!!
B (second option)
characters characters characters
Solve for x: −3x + 3 < 6 The graph shows a number line with an open circle at negative one and shading to the left. The graph shows a number line with an open circle at negative one and shading to the right. The graph shows a number line with an open circle at negative three and shading to the left. The graph shows a number line with an open circle at negative three and shading to the right.
Answer:
X > -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's solve the inequality step by step:
Given inequality:
-3x + 3 < 6
Subtract 3 from both sides:
-3x < 3
Now, divide both sides by -3. When dividing by a negative number, remember to reverse the inequality:
x > -1
The correct answer is: The graph shows a number line with an open circle at negative one and shading to the right. (Option B)
Have a great day!
5x + 2y =6
x and y intercept
Answer:
See below
Step-by-step explanation:
x-axis intercept occurs when y = 0
5x + 2(0) = 6
x = 6/5
y axis intercept occurs when x = 0
5(0) + 2y = 6
y = 3
Here are the ingredients needed to make 12 biscuits.
Hamza has 375g of butter
200 g of sugar
675g of flour
Biscuits
To make 12 biscuits
Work out the greatest number of biscuits Hamza can make.
Optional working
125 g of butter
50g of sugar
175g of flour
With 350 gram of ingredients Hamza can make 3.36 wich is equivalent to 3 biscuits or [tex]3\frac{9}{25}[/tex] biscuits.
Given : To make 12 biscuits Hamza needs ; 375g of butter
200 g of sugar and 675g of flour .
thus the total amount of ingredients = 375 + 200 + 675
= 1,250 g
Thus to make 12 biscuits 1250 g is required.
By using unitary method we get :
1g will make 0.0096 biscuits
However to work out the greatest number of biscuits with 125 g of butter
50g of sugar and 175g of flour
will be 125 + 50 + 175 = 350 g
Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.
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A scooter travels 30 feet in 2 seconds at a constant speed
Answer:
5 ft/sec
Step-by-step explanation:
I don't see a question, but I'll assume it wants the speed of the scooter, in feet/sec.
(30 feet0/(2 seconds) = 15 ft/sec
Please help me please I’m begging I WILL GIVE YOU BRAINLEST
The value of x is 4.
What is the Alternate Exterior Angles Theorem?When two parallel lines are intersected by a transversal, the exterior angles created on either side of the transversal are equal, according to the alternate exterior angle theorem.
The given angles are 2x + 19° and x + 23°.
As these pair of angles are created on the outer side of the parallel lines but on the other side of the transversal, they are alternate exterior angles.
Using the Alternate Exterior Angles Theorem,
2x + 19° = x + 23°
2x - x = 23° - 19°
x = 4
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Please do number 5 thank you
Answer:
b step 2 is incorrect answer
In 1980 approximately 12,400,000 students were enrolled in US universities and colleges in 2017 that number had increased by about 65% what was the approximate number of students enrolled to US universities and colleges in 2017?
The number of Students enrolled in US universities & Colleges in 2017 will be 20, 460,000
What is basic algebra?Mathematical formulas can be used to solve issues or situations in the real world thanks to the area of mathematics known as algebra. To create a valid mathematical expression, you need variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Calculus, trigonometry, and coordinate geometry are just a handful of mathematics subjects that use algebra. A simple algebraic equation is 2x + 4 = 8. Operations on variables and constants, such as addition, subtraction, multiplication, and division, result in algebraic expressions.
Students' enrollment in US universities
in 1980 = 12, 400, 000
In 2017 the percent increase = 65%
So,
65% of 12, 400,000
= 12,400,000 X 65%
= 8,060,000
The number of Students enrolled in US universities & Colleges in 2017 will be
= 12, 400,000 + 8,060,000
=20, 460,000
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Which toolkit function is this ? I am always continuous and have a point of inflection at the origin. My range is from negative one to one.optionssquare root function , quadratic function, rational function , exponential function constant linear function , linears function cubic function , logarithmic function ,asbolsoute value and sine function
Step 1
Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.
Step 2
The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is
[tex]\begin{gathered} sine\text{ function} \\ Let\text{ us consider the graph of y=sinx} \end{gathered}[/tex][tex]\begin{gathered} An\:inflection\:point\:is\:a\:point\:on\:the\:graph\:at\:which\:the\:second\:\: \\ derivative\:is\:equal\:to\:zero\:or\:undefined\text{ }and\:changes\:sign \\ \mathrm{If}\:f\:''\left(x\right)>0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:upwards.} \\ \mathrm{If}\:f\:''\left(x\right)<0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:downwards.} \end{gathered}[/tex][tex]\begin{gathered} \frac{d}{dx}\left(sinx\right)=cosx \\ \frac{d}{dx}\left(cosx\right)=-sin(x) \\ -sin(x)=0 \\ x=0,y=0 \\ And\text{ the origin is \lparen0,0\rparen} \end{gathered}[/tex]From the graph, the range is from -1 to 1.
Answer;
[tex][/tex]Question 3 of 6
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
A group of 31 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 3 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
(Do not include units in your answer.)
They can make 10 teams NOT 10.3.
What is basic division?Long division is a common division procedure in mathematics that may be used to divide multi-digit Hindu-Arabic numbers (Positional notation) and is easy enough to do manually. A division problem is divided up into a number of simpler steps.
Like in every division problem, the dividend and divisor are two numbers that are divided to produce the quotient, which is the final product. It makes it possible to carry out computations involving arbitrary large numbers by adhering to a set of straightforward processes. When the divisor contains only one digit, long division is nearly always avoided and instead, the condensed version, known as short division, is employed. A less mechanical approach to long division is known as "chunking," which is also known as the "partial quotients method" or "hangman method."
31 ÷ 3
= 10 but remainder 1 .
And then the fulfills the condition is that not everyone can be on a team.
So therefore remainder 1. Condition fulfilled
Answer is 10 .
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Solve one half equals one fourth times the quantity y plus one eighth end quantity for y. y equals one half y equals three fourths y equals fifteen over eight y equals three halves
The value of y in the equation 1/2 = 1/4y + 1/8 when solved is: y = 3/2(three halves).
How to Solve an Equation?Solving an equation implies looking for the value of the variable that would make the equation true or balanced if we plug in the value of that variable into the equation.
To solve for the value of y in the given equation, 1/2 = 1/4y + 1/8, isolate the variable of equation, y, to one side.
1/2 = 1/4y + 1/8 [given]
1/2 - 1/8 = 1/4y + 1/8 - 1/8 [subtraction property of equality]
3/8 = 1/4y
Multiply both sides by 4
3/8(4) = 1/4y(4)
12/8 = y
3/2 = y
y = 3/2 (three halves).
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9 c + 32 calculates the
The formula F(C) = 5
temperature in degrees Fahrenheit, given a
temperature in degrees Celsius
You can find an equation for the temperature in
degrees Celsius for a given temperature in
degrees Fahrenheit by finding the function's?
-15° = C is a given temperature in degrees Fahrenheit by finding the function's.
What is the purpose of Fahrenheit?
Temperature measurements are made in Fahrenheit. It is based on the Fahrenheit scale, which was first put forth by physicist Daniel Gabriel Fahrenheit in the 1700s. According to the Fahrenheit scale, water has a boiling temperature of 212 degrees Fahrenheit, while ice melts at 32 degrees.Water freezes at 32 degrees Fahrenheit and boils at 212 degrees on the Fahrenheit temperature scale. The sign ° F is used to denote it.we have a value for F, and so we use that to find C. Insert F's value into the equation:
5 = 9/5 C + 32
Subtract 32 from both sides:
5 - 32 = 9/5 C + 32 - 32
-27 = 9/5 C
Now we multiply both sides by 5/9
-27 * 5/9 = 9/5 C 5/9
-27 is divisible by 9:
-3 * 5 = C
-15° = C
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Answer:
1. Inverse
2. 5/9 and 160/9
3. All of them
Step-by-step explanation:
The playing surfaces of two football tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?
The ratio of the areas is ?:?
The area ratio is 100:49.
The ratio of areas equals the ratio of squares of matching sides.
Let's put this fraction of comparable ratios into an equation and then input in our two known values to get our two unknown values:
(10)2 : (7)2 = 100 : 49
The ratio of two identical figures areas is equal to the square of the ratio of their corresponding sides.
For instance, if the ratio of the respective widths of two comparable rectangles is 2:3, the ratio of their areas is
22:32=4:9: 2 = 4: 9
Hence the ratio of the areas is 100 : 49
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2. Given that f(x)=5x-3 and g(x)= x^2 -2, find the following... a) f(-3) b) g(4) c) f(3)•g(3)
Question:
Solution:
Consider the following functions:
[tex]f(x)=\text{ 5x-3}[/tex]and
[tex]g(x)=x^2-2[/tex]a) f(-3):
if we evaluate the function f at x = -3, we get:
[tex]f(-3)=\text{ 5(-3)-3}=\text{ -15-3= -18}[/tex]so that, the correct answer is:
[tex]f(-3)=\text{ -18}[/tex]b) g(4):
if we evaluate the function g at x = 4, we get:
[tex]g(4)=4^2-2=\text{ 16-2= 14}[/tex]so that, the correct answer is:
[tex]g(4)=\text{ 14}[/tex]
c) f(3)*g(3):
Step 1: evaluate f at x = 3:
[tex]f(3)=\text{ 5(3)-3}=\text{ 15-3 = 12}[/tex]Step 2: evaluate g at x = 3:
[tex]g(3)=3^2-2=\text{ 9-2= 7}[/tex]Step 3: multiply f(3) and g(3):
[tex]f(3)g(3)=\text{ (12)(7)=84}[/tex]so that, we can conclude that the correct answer is:
[tex]f(3)g(3)=\text{84}[/tex]
11. Number Sense find 8 × 600, multiply 8 and 6, then write blank zeros to form the subject
zeros to form the product.
Answer:
2 zeros
Step-by-step explanation:
600 has 2 zeros and 8 has no zeros. 0+2= 2. 2 zeros
2/3 ✕ 8 3/5 ✕ 9
I think I'm doing it wrong. Someone help I need the most simplified mixed number.
Exact Form:
774/25
Decimal Form:
30.96
Mixed Number Form:
30 24/25
You probably need to put in The Decimal Form
Answer:
51 3/5
Step-by-step explanation:
[tex]\frac{2}{3} *8\frac{3}{5} * 9\\[/tex] turn the mixed number into an improper fraction first. So, turn
8 3/5 into 43/5.
Also, turn the 9 into 9/1 to make it easier to multiply with
Now multiply all together:
2/3 * 43/5* 9/1
= 774/15
Simplify:
i divided both numerator and denominator with 3 because that is a common factor
=258/5
Answer= 51 3/5 is the mixed number
i'll give brainliest
Answer:
[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]
Step-by-step explanation:
Fraction
[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]
The numerator of a fraction is the number (or expression) above the fraction bar.
The denominator of a fraction is the number (or expression) below the fraction bar.
[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]
If a number (or expression) is divided by zero, the quotient is undefined.
If zero is divided by a number or expression, the quotient is zero.
Therefore:
[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]
2y = 10/9 solve for y simplify your answer as much as possible
Answer:
y = 5/9
Step-by-step explanation:
Simplify:To simplify the expression, isolate y. To isolate y, divide both sides by 2.
[tex]\sf 2y =\dfrac{10}{9}\\\\\text{Divide both sides by 2,}\\\\y = \dfrac{10}{9*2}\\\\y=\dfrac{5}{9}[/tex]
Please help me. I tried every answer possible. Due today.
The rate of change of what the cab company charges is; $3.3 per mile
What is the rate of change?The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;
Rate of change here is;
Slope = (y₂ - y₁)/(x₂ - x₁)
We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.
Thus;
Base fee = $2
Rate of change = 2 + 1.1
Rate of change = $3.3 per mile
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Solve 0=2y-8x+10 for y
Answer: Y=4x-5
That should be write thats what i got
Solution: 0 = 2y - 8x + 10
=> - 2y = - 8x + 10
=> 2y = 8x - 10
=> y = 4x - 5
Karina has 10 yards of fabric to make tote bags. If she makes 4 equally sized tote bags, how much fabric does she use for each?
tulongGGGGGGG
Karina use fabric for each bag is 2.5 yards.
What is unitary method?The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of units.
Given that,
Karina has 10 yards of fabric, she makes 4 equally sized bags
fabric does she use for each = [tex]\frac{10}{4}[/tex]
= 2.5 yards
It means, Karina use fabric for each bag is 2.5 yards.
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Carson works in a department store selling clothing. He makes a guaranteed salary of $450 per week, but is paid a commision on top of his base salary equal to 15% of his total sales for the week. How much would Carson make in a week in which he made $1575 in sales? How much would Carson make in a week if he made x dollars in sales?
HURRY PLEASEE!
Carson will make $686.25 in a week.
This problem can be solved by using percentage.
Percentage is the measure of a quantity with respect to its whole.
Given,
The total salary of Carson in a week is = $450
Also he gets a commission of 15% on making sales for a week.
In a week he makes a sales of $1575.
Commission for this week = 15% of 1575
= $236.25
Total salary for this week = 450+236.25
= $686.25
So, Carson will receive the above amount in a week as his salary.
Hence, Carson will make $686.25 in a week.
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how to graph y=3-4x
I have tried (0,3) (3,-9) and other possibilities, but they won't work
Answer:
This is a linear function and you have to rewrite the equation to the standard form y= mx+q, so y= -4x + 3 where -4 is m and tells you the slope of the function while 3 tells you where it intercepts the y axis. Now you have to write the points of the function taking some x values and obtaining the relative y. For example if x is 0 then y= 3-4(0) which is equal to 3. If x is 1 y is -1, if X is 2 then y is -5 and you continue like that until you want. However, to draw the line you could just stop to two points.
I need help with this please I know someone out there knows how to do this.
The solution to the equation of the graph are represented below
Equation of LineTo solve this problem, we simply need to use a graphing calculator to plot the graph of the straight line.
The points of at which they touch both x- axis and y-axis are highlighted in the graph.
The first equation is represented by the graph with red line while the second equation is represented by the graph with blue line.
Kindly find the attached solution as graph below
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