A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?
Answers
Answer:
12000
Step-by-step explanation:
3000x2^(140/70)
3000*2= 6000
6000*2= 12,000
Related Questions
Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the umbrella at mid-day.
Determine whether each option below would result in any part of the picnic table being shaded by the umbrella at mid-
day. Explain how you know.
• Option A: Rotate the picnic table 90° clockwise about the point (5, 0).
Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
• Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Enter your answers and explanations in the space provided
Answers
Answer:
Option CStep-by-step explanation:
Refer to attached picture
At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.
So the options:
Option A: Rotate the picnic table 90° clockwise about the point (5, 0)
No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
No. The movement will bring the umbrella down by one feet and no intersections.Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct option
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Y=2x 2 -6x find the value
Answers
Answer:
Y=-4x 2
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the volume of the figure.
V=____cm^3 (Round to the nearest tenth as needed.)
Answers
Answer:
V=12.6cm^3
Step-by-step explanation:
Volume of Cone Formula: \(V=\pi r^2\frac{h}{3}\)
Given:
Radius=2, Height=3
1. Plug in your given values into the formula
\(V=\pi 2^2\frac{3}{3}\)
2. Solve
\(V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144\)
Rounded to tenths: 12.6
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $10 each and will sell 800 tickets. There is one $1,000 grand prize, four $300 second prizes, and fourteen $30 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. $________.
Answers
Answer:
-$6.72
Explanation:
The cost of the ticket = $10
Let X be the possible profit on the ticket.
The probability distribution for X is given below.
Thus, the expected value for your profit is calculated below:
\(\begin{gathered} E(X)=\sum xP(x) \\ =\left(1000\times\frac{1}{800}\right)+\left(300\times\frac{4}{800}\right)+\left(30\times\frac{14}{800}\right) \\ =3.28 \end{gathered}\)Subtract from 10:
\(3.28-10=-\$6.72\)The expected value for your profit is -$6.72.
Note: This means that if you play the game, you expect to make a loss of $6.72 (rounded to the nearest cent).
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
A 2.5-meter piece of framing lumber has been used to cut a piece 1.65 meters long. How much of the original piece of lumber remains, in meters?
Answers
Answer:
0.85 of the original piece of lumber remains.
Step-by-step explanation:
Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.
2.5 - 1.65 =
2.50 - 1.65 = 0.85.
Therefore, 0.85 of the original piece of lumber remains.
Hope this helps! :)
PLEASE HELP! Find missing side lengths of B and C. Explain
Answers
Answer:
b=7 & c=7√2
Step-by-step explanation:
b=7 as it is an isosceles triangle
now using Pythagoras theorem,
(c)^2= (7)^2+(7)^2
⇒(c)^2= 49+49
⇒(c)^2= 98
⇒c= √98
⇒c=7√2
Answer:
b = 7c = 7√2Step-by-step explanation:
You want the missing side lengths in an isosceles right triangle with one side given as 7.
Isosceles right triangleThe two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:
b = 7
The hypotenuse of an isosceles right triangle is √2 times the side length:
c = 7√2
__
Additional comment
You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.
c² = 7² + b²
c² = 7² +7² = 2·7²
c = √(2·7²) = 7√2
The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.
The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.
Review the Strategies 5. Corey and his 2 friends earn $12 each for doing yard work. How much money will they get paid altogether if they work on 5 yards? Make a table. 3 friends x $12 a yard $36 a 1 yard 2 yards 3 yards | 4yards 15 yards $36
Answers
If the 3 friends work on 2 yards, then together they will earn:
\(3\text{friends}\cdot12\text{ dollars per yard}\cdot2yards=72\text{ dollars.}\)If the 3 friends work on 3 yards, then together they will earn:
\(3\text{friends}\cdot12\text{ dollars per yard}\cdot3yards=108\text{ dollars.}\)If the 3 friends work on 4 yards, then together they will earn:
\(3\text{friends}\cdot12\text{ dollars per yard}\cdot4yards=144\text{ dollars.}\)If the 3 friends work on 5 yards, then together they will earn:
\(3\text{friends}\cdot12\text{ dollars per yard}\cdot5yards=180\text{ dollars.}\)Answer:
Therefore, if the 3 friends work on 5 yards, then together they will earn $180.
A robot can complete 3 tasks in 5/6 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answers
Answer:
5/6 of an hour is 50 minutes.
50/3= 16.67 minutes per task
the robot can complete 3 5/8 tasks in one hour
a. It takes 16.67 minutes for the robot to complete one task.
b. The robot can complete 3 5/8 tasks in one hour.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It, A robot can complete 3 tasks in 5/6 to hours and each task takes the same amount of time.
We'll apply division by Splitting into equal halves or groups, the division may be used to find the time it takes the robot to complete one task.
a)
3 task = 5/6 hour
Apply the unitary rule for the given condition,
1 task = 5/6 × 1/3
1 task = 5/18 hour
1 hour = 60 minute
1 task = 5/18 × 60
1 task = 16.67 minutes
b)
5/6 hour = 3 task
Apply the unitary rule for the given condition,
1 hour = 3 × 6 / 5
1 hour = 18/5
1 hour = 3 5/8 task
Thus, It takes 16.67 minutes for the robot to complete one task and the robot can complete 3 5/8 tasks in one hour.
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If a hot air balloon pilot inflates the balloon at an average wind speed of about 5 miles per hour with an altitude of 35,000 feet, how fast will the radius of the balloon increase as it goes up higher and higher performing certain tricks? Using the differentiation formula applicable for this situation, estimate the speed of inflation and the speed of landing. Will this be able to help the pilot still perform other tricks before making a colorful landing? Give at least two comprehensible reasons and explain your answer.
Answers
The speed of landing is 15.69 ft/sec.
What is differentiation ?"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.
The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."
Let the length of the rope = r
Height of the balloon = h
we are given dr/dt = 15ft/sec
at any time t we know:
\(r = 125 + 15*t\)
By the Pythagoras theorem we know:
\(h^2 + 125^2 = r^2\)
We have to find dh/dt at time t = 20 sec
\(d/dh(h^2 + 125^2) = d/dt(r^2)\)
By chain rule:
\(d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt\)
\(= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15\)--------------------- at time t = 2
=15.69 ft/sec
Hence dh/dt = 15.69 ft/sec
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bala had 240 cards and tom had 780 cards. after tom gave some cards to bala, bala had twice as many cards as tom. how many cards did tom give to bala?
Answers
The answer is tom will give 440 cards to Bala, using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The total number of cards is 780+240 = 1020.
If in the end Bala will have twice as many cards as Tom then I would divide the 1020 by 3 which equals 340.
So Bala will have 2*340 = 680 cards
Tom will have 340 cards.
Now Bala will need (680-240) = 440 more cards.
Hence Tom will give 440 cards to Bala.
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Help ive been stuck on this forever
Answers
Answer:
3480
Step-by-step explanation:
It always help if you make clear how the state assesses taxes. Usually it is done the way I will do it, but it is no guarantee.
First 3000 = 3000 * 2/100 = 60.00
The next 2000 (excess over 3000) = 2000 * 3/100 = 60
The next 12000 (excess over 5000) = 12000 * 5/100 = 600
The next step would be excess over 12000 = 48000 * 5.75/100 = 2760
That's the way most taxes for federal taxes and state taxes work. What you have to know is this: does the question use the term excess anywhere? Or do your notes. If you are accustomed to the word then this is the way the question is done.
So the total taxes = 60 + 60 + 600 + 2760 = 3480
Lin's family has traveled 25 miles which is only 20% of the trip.
How far is the whole trip?
a.
5 miles
c. 100 miles
b.
125 miles
d. 250 miles
Please hurry
Answers
Answer: 125 miles
Step-by-step explanation:
We know that 25 miles is 20% of the trip.
20% is 1/5 of 100, so that means we will multiply the number of miles driven by the denominator of the fraction.
25 × 5 = 125 miles
The answer to the question is 125 miles.
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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Which of the following is the best translation for the expression below?
2x - 5
Twice a number x minus five.
The difference of five and twice a number x.
Five more than twice a number x.
Twice the difference of five and x.
Answers
The best description of the numerical expression 2x - 5 is,
The difference of five and twice a number x.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.
The statement to the numerical expression 2x - 5 would be
The difference of five and twice a number x.
As we can not use the statement twice a number x minus five because the term 'minus' can not be used.
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( -8v + 6v 4 - 8 ) + ( 3v - 7 ) simplified
Answers
Answer:
6v⁴ - 5v - 15
Step-by-step explanation:
Step 1: Write out expression
-8v + 6v⁴ - 8 + 3v - 7
Step 2: Combine like terms (v)
6v⁴ - 5v - 8 - 7
Step 3: Combine like terms (constants)
6v⁴ - 5v - 15
what is the hcf of 40,50???
Answers
Answer:
10
Step-by-step explanation:
10
Need help
Giving brainliest
Answers
Answer:
y=1/5x + 8/5
Step-by-step explanation:
First you take the reciprocal of -5 which is -1/5.
Then you substitute the values to find the b.
1= -1/5(-3) +b
1=3/5+b
Add 3/5 to both sides
1+3/5= 5/5+3/5
b=8/5
What is the LCD of 7, 6, and 14
Answers
Hope this helps !
Have a great day!
8r/9 - 15 when r = 27
Answers
Answer:
9
Step-by-step explanation:
8x27/9-15
8x27= 216
216/9-15
216/9= 24
24-15=9
=9
Answer:
Your answer is nine
9
Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
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After examining a child at his 2-year checkup, the boy's pediatrician said that the z-score for his height relative to other 2-year-olds in the country was 1.92 . Explain to the parents what that means.
Answers
Answer:
Step-by-step explanation:z-score is a random variable that by definition follows a distribution whose mean is 0 and standard deviation is 1. (there many ways to get the score but it always behave like that).
So, given the above, a score of 1.92 means that the child's height is 1.92 standard deviations lower (because negative) than the average of the population.
If the heights of the population distribute according to the normal (Gaussian) distribution, the value 1.92 corresponds to about 20-th percentile of heights: about 20% if children in the population are of smaller height than this particular child.
ITS 100 POINTS!!!! AND DO IT IN A STEP BY STEP EXPLAINATION.
A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.
Part A: What is the price of 1 pound of cabbage? Show your work. (8 points)
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words. (2 points)
Answers
Answer:
part a: If x represents the number of pounds of cabbage and y represents the price in dollars, then (5, 2) means that 5 pounds of cabbage costs $2.00. If that is true, then 1 pound of cabbage will cost $0.40. (divide both values by 5)
The ordered pair (10, 4) means that 10 pounds of cabbage cost $4.00.
explanation: sorry its late but hope it helps
Louise has a hard time keeping her workspace clean at her job. She tries, but it just ends up getting messy again. Which of the following is a likely outcome of her consistent messiness? O a) She will have fewer safety issues. b) She will feel more productive. c) Customers will think she is very busy. O d) She will have a hard time focusing.
Answers
Option C
Customers will think she is very busy
A messy desk indicates that the person is very busy.
Must click thanks and mark brainliest
The relationship between PLS ANSWER ASAP MARKING BRAINSLEST
Answers
Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.
Linear pair:
A linear pair is the sum of two angles that forms a straight line (180°).
⇒ ∠A + ∠B = 180°
Measure of ∠A:
Subtract the measure of ∠B from 180 to determine the measure of ∠A.
⇒ ∠A = 180 - ∠B
Measure of ∠B:
Subtract the measure of ∠A from 180 to determine the measure of ∠B.
⇒ ∠B = 180 - ∠A
*Let us take a few examples to understand the concept better.
Example (Given measure of ∠B):Let the measure of ∠B (In the triangle shown) be 105°.
What is the measure of ∠A?
Solution:
Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:
⇒ ∠A = 180 - ∠B⇒ ∠A = 180 - 105Simplify the equation:
⇒ ∠A = 180 - 105⇒ ∠A = 75°Therefore, the measure of ∠A is 75°.
Example (Given measure of ∠A):Let the measure of ∠A (In the triangle shown) be 60°.
What is the measure of ∠B?
Solution:
Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:
⇒ ∠B = 180 - ∠A⇒ ∠B = 180 - 60Simplify the equation:
⇒ ∠B = 180 - 60⇒ ∠B = 120°Therefore, the measure of ∠B is 120°.
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Help plsssssssssssssssaa
Answers
Answer:
The second option or B
Step-by-step explanation:
The approximate total mass= number of atoms * weight of an atom.
The approximate total mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom)=
=0.51102 g ≈ 0.51 g
Answer: the approximate total mass is 0.51 grams.
A steel beam can be cut to different lengths for a project. Assuming the weight of a steel beam is proportional to
its length, what information would you need to know to write an equation that represents this relationship?
Answers
The equation the given statement is y=ax.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. Equations come in two varieties: identities and conditional . All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
Here the weight of the steel beam is proportional to length.
let y be weight and x be length of it. Then
=> y ∝ x
=> y=ax
where a is the constant
we can find it if we have two sets of values of y and x.
Therefore the equation the given is y=ax.
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josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use?
Answers
Find the general form of the equation of a hyperbola with vertices at (-2, 5) and (6, 5) and foci at (-3, 5) and (7, 5). A. 16x2 - 9y2 - 160x + 36y - 508 = 0 B. 9x2 - 16y2 - 36x + 160y - 508 = 0 C. none of these D. 3x2 - 16y2 - 12x + 160y - 532 = 0
Answers
The general form of the equation of the hyperbola with the given information is \(9x^2 - 16y^2 - 36x + 160y - 508 = 0\). The equation can be determined by first finding the center of the hyperbola, which is (2, 5), and the distance between the foci, which is 4.
The general form of the equation of a hyperbola can be determined from the given information. The vertices of the hyperbola are given as (-2, 5) and (6, 5). The foci of the hyperbola are given as (-3, 5) and (7, 5). The first step in finding the equation of the hyperbola is to determine the center of the hyperbola. The center of the hyperbola can be calculated by taking the average of the x-coordinates of the vertices and then the average of the y-coordinates of the vertices. The center of the hyperbola is then (2, 5). The distance between the foci of the hyperbola is 4. This distance can be calculated by subtracting the x-coordinates of the foci and then subtracting the y-coordinates of the foci. The standard equation for a hyperbola can then be formed by substituting the center coordinates and the distance between the foci into the equation. The resulting equation is \(9x^2 - 16y^2 - 36x + 160y - 508 = 0\). This equation is the general form of the equation of the hyperbola with the given
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