a. A function that models the population of the city's years after 2010 is:
f(x) = 50,000 * (1 + 0.05)^(x-2010)
where x is the number of years after 2010.
b. The population of the city in 2017 (7 years after 2010) is:
f(2017) = 50,000 * (1 + 0.05)^7
= 65,128
c. The population of the city in 2020 (10 years after 2010) is:
f(2020) = 50,000 * (1 + 0.05)^10
= 76,923.1
The population of the city in 2030 (20 years after 2010) is:
f(2030) = 50,000 * (1 + 0.05)^20
= 129,382
d. The population in 2020 is 76,923.1, and the population in 2010 is 50,000, so the population grows by:
= 76,923.1 / 50,000
= 1.53846
The population in 2030 is 129,382, and the population in 2020 is 76,923.1, so the population grows by:
= 129,382 / 76,923.1
= 1.6859
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solve for x. each figure is a parallelogram
9) x = 6
10) x = 1
11) x = 0
12) x = 6
This can be solved from the property of parallelogram.
What is parallelogram?A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Parallelograms come in 4 different varieties, including 3 unique varieties. The four varieties are rhombuses, parallelograms, squares, and rectangles.
Properties are:
The opposing sides are equally spaced and parallel.Angles on either side are equal.The angles that are consecutive or contiguous are supplementary.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.9) As we know, from the property of parallelogram,
SR = TQ and ST = RQ
Now, 4 + 2x = 3x - 2
or, x = 6
10) As we know, from the property of parallelogram,
EF = DC and ED = FC
17x + 1 = 18x
or, x = 1
11) As we know, from the property of parallelogram,
YZ = XW and YX = ZW
2x + 9 = 9
2x = 0
x = 0
12) As we know, from the property of parallelogram,
TU = SV and TS = UV
6 + 2x = 4x - 6
or, 2x = 12
or, x = 6
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What is the equation of the line that has a slope of 5 and passes through the point (4,7)?
A.y−5x=11
B.7y=5x+4
C.y+13=5x
D.y+5x=3
Answer:
c. y + 13 = 5x
Step-by-step explanation:
y = 5x + b
7 = 5(4) + b
7 = 20 + b
-13 = b
y = 5x - 13
y + 13 = 5x
Answer:
Option C
The answer is y + 13 = 5x
Step-by-step explanation:
Here, (4,7)
x = 4
y = 7
m = 5
Now,
y = mx + b
7 = 5(4) + b
7 = 20 + b
b = 7 - 20
b = - 13
Now,
y = mx + b
y = 5x - 13
y + 13 = 5x
Thus, The answer is y + 13 = 5x
-TheUnknownScientist
A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. What is the probability that the product of the two numbers on the sides that land face-up exceeds 36
5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.
There are 64 possible options to look at (8 x 8).
If one die is a 1, then no combinations will be possible, even if the other die is an 8.
If one dice is a 2, then no combinations will be possible, even if the other die is an 8.
If one dice is a 3, then no combinations will be possible, even if the other die is an 8.
If one die is a 4, then no combinations will be possible, even if the other die is an 8.
If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.
If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.
If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.
If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.
Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.
As a result, the response is 5/32 because 10/64 = 5/32.
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Find an order pair (x,y)that is a solution to the equation
2x+y=3
Answer:
(2, -1)
Step-by-step explanation:
2(2)+ (-1) = 4-1 = 3.
Why is it called logarithmic function?
A logarithm is the inverse operation of exponentiation, that is to say, log(a^b) = b, where log is logarithm, a is the base and b is the exponent.
A logarithmic function is called such because it relates the logarithm of a number to the number itself.
In other words, it is a function that expresses the value of the logarithm for a given number. This function is represented by the notation y = logb(x) where y is the logarithm, b is the base, and x is the number.
The logarithmic function is used to solve exponential equations, it is also useful in many fields such as mathematics, physics, engineering, and finance.
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please help.
on a sunny day, bill wants to find the height of a tree. he walks 25 feet along the shadow that the tree casts until his shadow ends at the same point as the trees shadow. bill is 6 feet tall and the length of his shadow is 9 feet. how many inches tall is the tree? find x first then multiply by 12 to get inches.
Nelson wants to buy gifts for Thanksgiving. Hs bought three roses for $1.99 each, three bows for $0.99 each, and three vases for $7.99 each. Write an equation for his total cost for the gifts. Someone help please
The equation can be written using the arithmetic operation and the cost is
$32.91.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The cost for each roses, bows and vases are given as $1.99, $0.99 and $7.99 respectively.
Then, the equation for the total cost is as below,
⇒ 3 × 1.99 + 3 × 0.99 + 3 × 7.99 = 32.91
Hence, the equation for the cost is given in the answer part and the cost is $32.91.
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This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequency 5 10153 2 Find the probability that a student earns a grade of B. p=[?]
Answer:
[tex]p=0.29[/tex]
Step-by-step explanation:
[tex]Total ~ of ~students=35[/tex]
[tex]Probability =10/35=0.29[/tex]
----------------------------
hope it helps....
have a great day!!
Answer:
p=0.29
Step-by-step explanation:
hope it helps...
Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
The graph is forming a function but it is not an one-one function.
If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.
If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.
The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).
However, the graph is not a one-to-one function.
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In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 7 times out of 10 attempts. tasha has hit the ball 10 times out of 16 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.7 < 0.625 tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the lowest ratio since 0.7 < 0.625
Answer: i need your help, XD
Step-by-step explanation:
Select all the pairs of operations that have inverse relationships.
The pair of operations having an inverse relationship are,
Addition and Subtraction, Division and Multiplication.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Addition and subtraction are inverse operations of each other.
Suppose we have 5 and we add 3 to it we get 8.
Now, Subtracting 3 from 8 would result in 5.
Multiplication and division are inverse operations of each other.
Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.
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What airport is located approximately 47 (degrees) 40 (minutes) N latitude and 101 (degrees) 26 (minutes) W longitude?
On sectional charts, the graticules are the lines that separate each 30 minutes of latitude and each 30 minutes of longitude. One tick mark equals one minute of latitude or longitude. Moving northward increases latitude while moving westward increases longitude. The coordinates of the Garrison (Pvt) airport are 47° 40' 00" N and 101° 26' 00" W.
Give an example of what is direction?Direction is characterised as the course that something follows, the route that must be taken to get to a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.
How do you interpret a map?Identifying whether a direction is clockwise or anticlockwise is a straightforward method for resolving direction problems. If we turn right, the direction will be entirely clockwise. Therefore, when starting from the correct point at North, every right movement will lead in the clockwise directions of East, South, and West.
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find the values of x, z and y
The values of x is 82° , z is 98°and y is 69°. in the given triangle.
Is the sum of all triangle angles always 180 degrees?Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).
we know that the sum of angle of triangle = 180
so,
x+ 60 +38=180
x=180-8
x=82°
and also
x+z = 180
z= 98°
for value of y
13 + 98 +y = 180
y= 69°
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Write the standard equation of the circle.
PLEASE HELP DUE TN 01/06
GEOMETRY B
Answer:
Center: = (-1,-3)
Radius: = 1
Step-by-step explanation:
What is the value of angle E?
Answer: This cannot be one of the two equal angles in the isosceles triangle as it violates the rule that sum of three angles of a triangle is equal to 180 degrees. Hence the remaining two angles contribute to the 180 - 96 = 84 degrees. And the two equal angles are 42 degrees each. In any case, <E is equal to 42 degrees.
Of 500 new electronic products, 280 were intended for people over the age of 16, and 320 used a rechargeable battery. Of those products with a rechargeable battery, 150 were intended for those under the age of 16. What is the probability that a new electronic product is intended for someone over the age of 16 or uses a rechargeable battery?
choices:
430/500 = 0.86
450/500 = 0.9
110/500 = 0.22
280/500 = 0.56
Answer:
450/500 = 0.9sorry if it's wrong
Step-by-step explanation:
Answer:
D. 280/500 = 0.56
Step-by-step explanation:
280 are intended for people over 16 and 320 use a rechargeable battery.
320-150 = 170 (intended for those under the age of 16)
The answer would be D because you need to take the highest number of products (280) that would satisfy the requirements.
Solve for x assume that lines appear tangent are tangent
Answer:
Step-by-step explanation:
? = 1/2(230)
A 115°
The cot c in pound of hiring a van for d day i given by the formula c=1045d work out the cot for 5 day
The cost of hiring a van for 5 days is $235.
In this question, we have been given an equation c = 10 + 45d that represents the cost in pounds of hiring a van for days.
here c = cost in pounds
d = number of days
We need to find the cost of hiring a van for 5 days.
Substitute the value d = 5 in given equation.
c = 10 + 45d
c = 10 + (45 × 5)
c = 10 + 225
c = 235 dollars
Therefore, the cost for 5 days is 235 dollars
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x-5 that is the answer na
(pesos and Php are philippine coins and money so just imagine pesos as coins if u arent filipino)
It has been Cheri's habit to collect 5 peso and 10 peso coins starting january of every year, to save up for her family's annual outreach to a local community at the end of the year. At the end of the year, she has saved a total of Php 2285 . If she has 11 more 10 pesos than 5 peso coins, how many coins of each does she have
Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach
What is an equation?An equation is used to show the relationship between numbers and variables.
Let x represent the number of 5 peso coins and y represent the number of 10 peso coin
At the end of the year, she has saved a total of Php 2285, hence:
5x + 10y = 2285 (1)
Also, she has 11 more 10 pesos than 5 peso coins, hence:
y = x + 11 (2)
Solving both equations using elimination method gives:
x = 145, y = 156
Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.
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What is One-third divided by one-fourth?
A fraction bar. The top bar is labeled 1. 3 bars underneath the bar are labeled one-third. 4 bars underneath the 3 bars are labeled one-fourth. 12 bars underneath the 4 bars are labeled StartFraction 1 Over 12 EndFraction.
Three-fourths
1 and StartFraction 1 Over 12 EndFraction
1 and one-fourth
1 and one-third
Answer:
111
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
There are 5 strikers and 10 defenders in a football squad of 44. One player is chosen at random. What is the probability a striker is chosen?
Answer:
12 percent chance
Step-by-step explanation:
PLEASE HELP
Which of the following will form the composite function G(Ax)) shown
below?
GAx)) = (x + 1)3 - 6
O A. Ax) = x+1 and G(x) = x3 - 6
B. Ax) = (x + 1)2 and G(x) = -6
O c. Ax) = x - 6 and G(x) = (x + 1)3
D. Ax) = x3 - 6 and G(x) = x + 1
Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
the image below is the one you need to solve
Option c: y = -x + 5 represents scatter plot 1, Option g: The relationship is not linear represents scatter plot 2, Option a: y = 3x represents scatter plot 3, and Option f: y = x + 3 represents scatter plot 4.
What is a scatter plot?
The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.
The given equations are -
a. y = 3x
b. y = 4x - 2
c. y = -x + 5
d. y = -5x
e. y = -2x - 4
f. y = x + 3
g. The relationship is not linear.
The first scatter plot is going from positive y-axis to positive x-axis in a linear form. The graph for the equation that goes from positive y-axis to positive x-axis is y = -x + 5.
The second scatter plot is a curved parabola going and not a linear plot. So, the scatter plot is said to be a non-linear scatter plot.
The third scatter plot is going from positive x-axis to infinity in a linear form. The graph for the equation that goes from x-axis to infinity is y = 3x.
The fourth scatter plot is going from positive y-axis to infinity in a linear form. The graph for the equation that goes from positive y-axis to infinity is y = x + 3.
Therefore, scatter plot 1 is represented by equation y = -x + 5, scatter plot 2 is not linear, scatter plot 3 is represented by equation y = 3x and scatter plot 4 is represented by equation y = x + 3.
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in atwo digits Number The sum of the digits is 13 twice the term digits excceds
the units digits by one find the number
The two-digit number is 34.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
What are whole numbers?If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.
The given information can be translated into the following equation:
(10x + y) + (2x - y - 1) = 13
Where x is the tens digit and y is the units digit.
Solving for x and y, we get:
x = 3 and y = 4
So the number is 34.
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Find the mean, median and standard deviation of the
following numbers. Which of the mean and median will give
the best average?
11, 12, 14, 16, 17, 17, 18
Answer:
the mean is 15
median is 16
best average would be mean since its all added together and divided by #
Step-by-step explanation:
to find mean add all numbers and divide by amount of numbers
median is middle number.
In a mathematics class, half of the students scored 52 on an achievement test. With the exception
of a few students who scored 76, the remaining students scored 57. Which of the following
statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean is less than the mode.
C. The mean and the median are the same.
D. The mean is greater than the median.
Answer:
C. The mean and the median are the same.
Why is the longest side of a triangle always opposite the largest angle?
The longest side of a triangle is always opposite to the largest angle because the endpoints of the lines on either side are going to be further apart if the angle is wider .
What is Triangle ?
The triangle can defined as a three-sided polygon that consists of three edges and three vertices.
Let the angle opens up to its opposite side.
So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.
If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.
So , the longest side will always be opposite to the largest angle
Similarly , the smallest angle will result in shortest side opposite side for the same reasons.
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i need answer not links
Answer:
Ez *puts link epicly* B^)
PLEASE HELPPP
what is the simplified expression for (picture below)
Answer:
[B] 6²
Step-by-step explanation:
Given:
[tex]\frac{6^4\cdot \:6^3}{6^5}[/tex]
Solve:
Add the exponents - [tex]6^4 \times 6^3=6^7[/tex]
Now we have - [tex]\frac{6^7}{6^5}[/tex]
Exponent Rule: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
Which means - [tex]\frac{6^7}{6^5}=6^{7-5}[/tex]
Subtract the exponent - [tex]6^2[/tex]
Hence, the answer is [B] 6²
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