Answer:
2020 will be the first census year that will show Bridgetown with a larger population than Appleville.
Step-by-step explanation:
To solve this situation we can make a value-table:
Since every four years, the population of Appleville is predicted to decrease by half and the population of Bridgetown is predicted to increase by 1,000.
Hence, 2020 will be the first census year that will show Bridgetown with a larger population than Appleville.
Which of the following is the correct if clause to determine whether y is in the range 10 through 50, inclusive? (Points : 1) O ify>-10 and y < 50: if10 > y and y < 50: O if 10 50:
This if clause checks if y is greater than or equal to 10 and less than or equal to 50, which includes the range 10 through 50.
The correct if clause to determine whether y is in the range 10 through 50, inclusive, is:
if 10 <= y <= 50:
The <= operator checks for inclusivity, while the and operator combines the two conditions.
Range is the statistician's term for the distinction between a set's highest and lowest values. A set of real numbers in mathematics known as an interval, sometimes known as a range, contains all numbers between any two numbers in the set.
The difference between the greatest and lowest values within a set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.
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Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
Express the following composite numbers as products of prime factors 64
Answer:
64 is a composite number, and it is 8 squared. 64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.
Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let PP represent Jeremiah's total pay on a day on which he sells xx dollars worth of computers. The table below has select values showing the linear relationship between xx and P.P. Determine how many dollars worth of computers Jeremiah would have to sell in order to get paid $130 on a given day.
Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.
What is a linear equation?An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.
General form: ax + b = c; where the power of the variable x is 1.
Calculation:It is given that,
Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.
Consider,
P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.
So, the linear equation that relates x and P is,
P = Cx + B ...(i)
On substituting the values from the given table we get,
122.5 = C(4500) + B ...(ii)
160 = C(7000) + B ...(iii)
175 = C(8000) + B ...(iv)
By solving equations (iii) and (iv), we get
C = 15/1000 = 0.015
B = 55
Finding x value when P = $130:
We have P = Cx + B. Then for P = 130,
130 = Cx + B
We know C = 0.015 and B = 55
On substituting these values,
130 = (0.015) x + 55
⇒ 0.015x = 130 - 55 = 75
∴ x = 75/0.015 = 5000
Therefore, the required computers are 5000 dollars worth.
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Disclaimer: The given question on the portal was incomplete. Here is the complete question.
Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.
Table:
x: 4500, 7000, 8000
P: 122.5, 160, 175
respectively.
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 blues?,
Answer:
16.67% probability of getting 2 blues
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
What is the probability of getting 2 blues?
Desired outcomes:
Two blue marbles, from a set of 4.
\(D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6\)
Total outcomes:
Two marbles, from a set of 9.
\(T = C_{9,2} = \frac{9!}{2!(9-2)!} = 36\)
Probability:
\(p = \frac{D}{T} = \frac{6}{36} = 0.1667\)
16.67% probability of getting 2 blues
What are the indices for the directions indicated by the two vectors in the following sketch?
The indices for the directions are indicated by the two vectors in the following sketch - [1 0 0] and [ 2 0 3].
Miller Indices of Direction Vector:
The Miller indices of direction are rationalized components of the direction vectors taken in all crystallographic directions. They are indicated by [[u v w ]]. They are always defined as the smallest integers, so if they occur in fractional or decimal form, we need to convert them into the smallest integral value by algebraic manipulation.
The indices of direction 1.
Let the length of direction 1 along the x-axis be X units. The length of the vectors along the y and z axes is 0.
[ X 0 0 ]
⇒ \(\left[\begin{array}{ccc}0&0&0\\X'&X'&X'\\\end{array}\right]\)
Divide each length by X to convert it into the smallest integer.
⇒ [1 0 0]
And, this is the Miller indices of the direction vector 1.
So, the Miller indices of the direction vector 1 are [ 1 0 0].
Direction 2
The indices of direction 2.
Let the length of direction 2 along the x-axis be X units. The length of the vector along the y and z axes are 0.
[ 0.2 0 0.3 ]
⇒[ 2 0 3 ]
Multiply each fractional length by 10 to convert it into the smallest integer.
So, the Miller indices of the direction vector 2 are [ 2 0 3].
Therefore, The indices for the directions are indicated by the two vectors in the following sketch - [1 0 0] and [ 2 0 3].
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Solve (x + 1 < 4) ∩ (x - 8 > -7).
Answer:
\(1<x<3\)
Step-by-step explanation:
Let simplify each of these inequalities individually and then look at where they intersect afterwards
\(x+1<4\\\\x<3\)
And
\(x-8>-7\\\\x>1\)
This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.
This can be represented by the following inequality \(1<x<3\)
y is inversely proportional to x
when y=7,x=9
a) work out an equation connecting y and x.
b) workout the value of y when x=21
(a) The equation connecting y and x is y = 63/x
(b) the value of y is 3
a) work out an equation connecting y and x.From the question, we have the following parameters that can be used in our computation:
Inverse proportion
An inverse proportion is represented as
y = k/x
Where
k = constant of variation
Using the values, we have
7 = k/9
So, we have
k = 63
So, the equation is
y = 63/x
b) workout the value of y when x=21This means that
y = 63/x
So, we have
y = 63/21
Evaluate
y = 3
Hence, the value of y is 3
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The endpoints of the hypotenuse of a right triangle are (4,6) and (-1,-4). What coordinate pair represents the third vertex of this triangle?
Th The radius of a circle is 7 feet what is the circles?Use 3.14 for pie?
Please help due in 30 min!!!!!!
100 points
Answer:
43.96
Step-by-step explanation:
ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96
Answer:
43.96
im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol
Step-by-step explanation:
2 mi = ____ ft Please help! :((
Answer:
2 mi = 10560 ft
Step-by-step explanation:
you coulve searched it up
Answer:
you multiply it by 2 so its 10560
Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
Jocelyn drives her car with a constant speed of 40 miles per hour. How far can she travel in 1.5 hours?
Answer:
60 miles
Step-by-step explanation:
She travels 40 miles in one hour. So in the first hour, she's driven 40 miles. For the last 0.5 hours, she drives half of what she drove in the first hour, which would be 40/2 = 20. Combine these two numbers to get the total miles driven in 1.5 hours.
40 + 20 = 60
60 miles.
Hope this helps.
Answer:
I do no if I'm correct
7.3I hope this helpsHURRY ASAP I NEED THIS RIGHT NOW
Answer:
x=3.75
Step-by-step explanation:
-4(1.5-x)=9
first distribute
6-4x=9
then isolate the variable
A car advertisement states that a certain car can accelerate from rest to 72 km/h in 12.5 seconds.
Initially the car is at rest, so the initial velocity is ______
m/s.
The car speeds up to 72 km/h which is equivalent to _______
m/s. Find the car’s average acceleration.
The acceleration of the car is _______
m/s2
The initial velocity is 0 m/sec
The car speed up to 72km/h which is equivalent to 36m/sec
The acceleration of the car is 2.88 m/sec².
What is acceleration?Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken
Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:
Initial Velocity = 0 m/sec
Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec
Time taken = 12.5 second
Now, the car’s acceleration in m/s can be written as,
Acceleration = (Final Velocity - Initial Velocity)/ Time taken
(36 m/sec - 0 m/sec)/12.5 seconds
= 2.88 m/sec²
Hence, the car’s acceleration in m/s is 2.88 m/sec².
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Each of four friends orders a sweatshirt from a catalog. There are 18 colors of sweatshirts, 6 of which are all cotton and 12 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends order only cotton sweatshirts?
Answer:
1/204.
Step-by-step explanation:
That would be
6/18 * 5/17 * 4/16 * 3/15
= 1/3 * 1/4 * 1/5 * 5/17
= 5/1020
= 1/204.
determine whether each relationship is proportional by graphing on a coordinate plane. explain your reasoning.
This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.
A: Relationship 1:
The relationship between x and y is y = 2x.
When graphed on a coordinate plane, the points (0,0), (1,2), (2,4), (3,6), and (4,8) form a straight line, indicating that the relationship is proportional.
Relationship 2:
The relationship between x and y is y = x2.
When graphed on a coordinate plane, the points (0,0), (1,1), (2,4), (3,9), and (4,16) form a parabolic curve, indicating that the relationship is not proportional.
This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.
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A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
Plzz help
A store buys an $10 sweater; the store adds a markup of 40%. What is the selling price of the sweater?
Answer:
$14
Step-by-step explanation:
40% of 10 is 4
4+10=14
hope this helps
A class consists of 20 women and 31 men. If a student is randomly selected, what is the probability that the student is a man?
Give answer as a simplified fraction.
The probability of meeting a student who is a man is 31/51
How to determine the probability that a man is selected?From the question, the given parameters are:
Man = 31
Woman = 20
To start with
Start by calculating the population of the class
This is represented as
Population = Man + Woman
Substitute the known values in the above equation
So, we have the following equation
Population = 20 + 31
Evaluate
Population = 51
The probability of a man being selected is
P = Man/Population
So, we have
P = 31/51
Evaluate
P = 0.61
Hence, the probability of a man is 31/51
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If $22,000 is invested in an account earning 4.5% interest compounded continuously,
determine how long it will take the money to quadruple. Round to the nearest year.
Use the model A = Pet where A represents the future value of P dollars invested at
an interest rate r compounded continuously for t years.
OA) 31 years
B) 36 years
C) 3 years
D) 308 years
Answer:
approx 32years so pick answer A
Step-by-step explanation:
22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979
Given: ASVX =AUTX and SV || TUProve: VUTS is a parallelogram.*pls answer 2, 3, 7, 8*
These are the statements to prove that VUTS is a parallelogram:
1.- triangle SVX is congruent with triangle UTX: Given
2.-SV || TU: Given
3.- trianlge SXT is congruent with triangle VXU: by SAS postulate
4.- VUTS is a parallelogram: by definition of parallelogram
Find the slope of a line parallel to each given line.
5)2x+3y=-3
Answer:
-2/3
Step-by-step explanation:
2x + 3y = - 3 re-arrange to y = mx+b form: slope of this line will be 'm'
y = -2/3 x -1 slope = -2/3 parallel slope is the same
Peyton had a balance of -$21.46 in his bank account according to his
last statement. He immediately deposited $35.50 into his account.
What was Peyton's account balance AFTER he made the deposit?
Answer: $14.04
Step-by-step explanation: -21.46+35.50 = 14.04
You have a beginning balance of $200.00. You purchase groceries at Albertson’s on November 13th, 2004 for $42.63. Next you receive a check on November 14th, 2004 for $20.45 and deposit into your account. Finally, you write another check to Ms. Talisman on November 15th, 2004 for a textbook that costs $35.10.
The ending balance on your account on November 15, 2004, was $142.72.
What is the ending balance?The ending balance is the arithmetic difference between the beginning balance, deposits, and withdrawals, including interest and finance charges.
To determine the ending balance, add all deposits to the beginning balance and deduct all charges against the account
Beginning balance $200.00
Nov. 13, 2004 Groceries Purchase $42.63 $157.37
Nov. 14 Deposit $20.45 $177.85
Nov. 15, 2004 Check for textbook $35.10 $142.72
Thus, based on your beginning balance, deposits, purchases, and checks, the ending balance has been determined as $142.72.
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Question Completion:Indicate your remaining balance.
Describe what a loan discount point is and what effect it has on a home loan.
Answer:
A loan discount point reduces the interest rate that is paid on a home loan. One point reduces the interest rate by 1/8 of a percent, which reduces the amount of the monthly payment.
Step-by-step explanation:
The meaning that loan discount points have is the fact that they are fees that are used to buy down rates.
The effect of a loan discount point on a home loanThe effect that the loan discount point has on home loan is the fact that it helps to lower loans by about 0.25 percent.
The points helps you on your home loan by giving you a lower interest rate which then means that you have to pay lower over time.
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) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Let f(x) = 4x - 7 and g(x) = x +5. Find f(g(x)) and g(f(x))
f(g(x))=(Simplify your answer.)
g(f(x)) = (Simplify your answer.)
=
)
Step-by-step explanation:
Given:
f(x) = 4x - 7 and g(x) = x + 5Find f(g(x)) and g(f(x)):
f(g(x)) = f(x + 5) = 4(x + 5) - 7 = 4x + 20 - 7 = 4x + 13g(f(x)) = g(4x - 7) = 4x - 7 + 5 = 4x - 2PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
9x+7y=4 solve for y.