From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by
11,870 more than the population increase of Queens.
a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011.
(Round the addends to estimate.)
b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
Answers
Answer:
The population of Queens increased by 16,075.
The population of Brooklyn increased by 11,870 more than that, then the population of Brooklyn increased by:
16,075 + 11,870 = 27,945
a) The total combined population increase is (when we round the addens)
I will round in the thousands place.
To do it, we must look at the hundreds place, if the decimal is 5 or larger, we round up.
If the decimal is smaller than 5, we round down.
16,074 ≈ 16,000
27,945 ≈ 28,000
16,000 + 28,000 = 44,000
b) Now using the actual numbers:
16,075 + 27,945 = 44,020.
c) now let's compare our two results:
Let's see the difference between them
a = 44,000
b = 44,020
a - b = 44,000 - 44,020 = -20.
This means that our estimated from (a) is 20 units smaller than the actual number.
But this is insignificant compared with the 44,020.
Why?
we can calculate the relative error as:
100%*(estimate value - real value)/(real value)
100%*(-20/44,020) = -0.05%
So the error is on the -0.05%, which is despreciable.
From this, we can conclude that the estimation in (a) is a really good estimation.
Answer:
5
Step-by-step explanation:
no or 6
Related Questions
here is another one that i need help on What number represents the same amount as 8 hundreds + 10 tens + 0 ones
Answers
Answer:
810 is the number that represents the same amount.
Hope this helps :)
Sabine drew two points on a number line. Which inequality is true?
Answers
Answer:
you have it correct
because when you are talking about negative the smaller number it the greater number
The inequality - 8 < - 4 is true among all the other given options.
What are inequalities and their types?
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Two points on the number line one at - 8 and one at - 4.
We know 8 > 4 therefore - 4 > - 8 Or - 8 < - 4.
The more we go toward the left of the number line the numbers are smaller and smaller.
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I really need help with this I’m practicing for upcoming algebra
Answers
Given: The graph of a function.
Required: To find the domain of the given graph.
Explanation: Domains are the possible x values of a function. From the graph given, we can see that the function extends from x=-4 to x=2.
Hence the domain of the function is-
\(Domain=[-4,2]\)Final Answer: Option B is correct.
One month Justin rented 3 movies and 5 video games for a total of $39. The next month he rented 9 movies and 7 video games for a total of $63. Find the rental cost for each movie and each video game.
Answers
We can get the rental cost for each movie and each video game is 1.75 & 6.75 respectively by using simultaneous equations.
What is simultaneous equations?
Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations.
We have,
First month --- > rented 3 movies and 5 video games for $39.
Second month --- > rented 9 movies and 7 video games for $63.
Let's consider,
x = price of each video games
y = price of each movies
Therefore,
3x + 5y = 39 ..........................(i)
9x + 7y = 63 ...........................(ii)
Multiplying the first equation by 3 and subtracting with second equation we get,
9x + 15y = 117 ..........................(iii)
y = 54 / 8 = 6.75
by putting the the value of y in equation (i),
3x + 5(6.75) = 39
3x = 39 - 33.75 = 5.25
x = 1.75
By calculating this simultaneous equations we get values of,
x = 1.75 & y = 6.75
Therefore the rental cost for each movie and each video game is 1.75 & 6.75 respectively.
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Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.04; confidence level: 99%; from a prior study, p is estimated by 0.12.
Answers
The value of the minimum sample size required to estimate the population proportion is 438.
What is the margin of error?Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.
Given:
The margin of error, ME = 0.04,
The value of p = 0.12,
The confidence level = 99%,
Calculate the minimum sample size as shown below,
ME = z √[p(1 - p) / n]
Calculate the value of z from the table attached below considering the confidence level, z = 2.576,
0.04 = 2.576 √[0.12(1 - 0.12) / n]
Squaring both sides,
0.0016 = 6.636 × 0.12 × 0.88 / n
n = 0.7 / 0.0016
n = 437.9 or 438
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Write dowm the complementely angle of 80° show all your working
Answers
Answer:
10
Step-by-step explanation:
Complementary angles add to 90 degrees
x+80=90
x=10
Answer:
10°
Step-by-step explanation:
The measures of complementary angles add to 90 deg.
Let x be the measure of the complementary angle.
x + 80 = 90
Subtract 80 from both sides.
x = 10
Answer: 10°
Find the indefinite integral|(12x+5)dx
Answers
\(\int {12x+5} \, dx\)
For this problem, let's first apply the intergral sum rule.
\(\int {12x+5} \, dx = \int{12x} \, dx + \int{5}x \,dx\)
Then, we'll use the reverse power rule on each of these integrals.
\(\int{12x} \,dx = 6x^2+C\)
\(\int{5} \,dx = 5x+C\)
So the indefinite integral of \(\int{12x+5} \,dx\) is \(6x^2+5x+C\).
Remember that we need our constant of integration, \(C\), because of if we take the derivative of a constant, it'll be 0.
Hope this helps!
Hi there!
\(\int\limits {12x+5} \, dx\)
Recall the following rules:
\(\int\limits {x^n} \, dx = \frac{x^{n+1}}{n+1}\)
Use this rule to evaluate. Remember to include the constant:
\(\int\limits {12x+5} \, dx = \frac{12x^{1+1}}{1+1} + 5x +C\)
\(\int\limits {12x+5} \, dx = 6x^2 + 5x + C\)
calculate the area of a circle with a diameter of 8.2 inches. show or explain your reasoning.
Answers
Answer:
Area = 52.81 square inches
Step-by-step explanation:
\(Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2\)
10 fractions equivalent to 1/2
Answers
Answer:
2/4, 3/6, 4/8, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24
Step-by-step explanation:
Multiply the numerator and denominator by the same factor. And use 10 different factors.
Ex. \(\frac{1}{2} *\frac{2}{2}=\frac{2}{4}\)
the function has zeros at -1 and -11, and a minimum at -5
Answers
The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).
What is graph?In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.
In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.
According to given information:
Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):
\(f(x) = a(x- (-1))(x- (-11))\)
Simplifying, we get:
\(f(x) = a(x+1)(x+11)\)
To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:
\(-5 = (-1+(-11))/2\\-5 = -6\)
This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:
\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)
We also know that the function has a minimum at this point, so we can use this to find the value of a:
\(f(-6) = -5\\-5= -5a\\\\a = 1\)
Therefore, the quadratic function that satisfies these conditions is:
\(f(x) = (x+1) (x+11)\)
We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:
x-coordinate of vertex = \((-1 +(-11))/2 =-6\)
y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)
Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.
Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?
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HELP PLEASE!!!!! Graph the linear inequality>>>.
Answers
The exponential equation to model this scenario is given by y = 200(0.85)ˣ
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A linear inequality has the form of a linear equation, showing the non equal comparison between numbers and variables.
The linear inequality y ≤ (1/3)x - 5 passes through the point (0, -5) and (15, 0)
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The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Answers
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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15.18. Find the area of the region bounded by
TC
the curve y = cosx, x=0, x= pi/
2 and x-axis.
Answers
Answer:
please mark me brainlist
Step-by-step explanation:
The Healthy Wheat Bakery uses 560 pounds of flour to make 1000 loaves of bread. Each loaf contains the same amount of flour. How many pounds of flour are used in each loaf of bread?
Answers
He jogging track has a length of 792 yards how long is this in miles
Answers
By performing the division, the jogging track is 0.45 miles long.
What is division?Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.
According to given information:The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.
To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.
So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.
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mike can do 126 sit-ups in six minutes. how many sit-ups is that per minute?
Answers
Answer:
21
Step-by-step explanation:
126/6= 21 sit ups per minute
The perimeter of a rectangle is 40 inches. Find the length and width if the length is an integer and the width is 2 times the next consecutive integer. Length = Width =
Answers
The values are;
Length = 6 inches
Width = 14 inches
How to determine the valuesThe formula for determining the perimeter of a rectangle is expressed as
P = 2( l + w)
Where;
P is the perimeterl is the lengthw is the widthFrom the information given, we have;
Length = x
Width = 2(x + 1) = 2x + 2
Now, substitute the values
40 = 2( x + 2x + 2)
expand the bracket
40 = 2(3x + 2)
40 = 6x + 4
collect like terms
6x = 40 - 4
6x = 36
x = 36/6
Divide the values
x = 6 inches
Length = 6 inches
Width = 2( 6 + 1) = 2(7) = 14 inches
Hence, the values are 6 and 14 inches
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The values are;
Length = 6 inches
Width = 14 inches
How to determine the values
The formula for determining the perimeter of a rectangle is expressed as
P = 2( l + w)
Where;
P is the perimeter
l is the length
w is the width
From the information given, we have;
Length = x
Width = 2(x + 1) = 2x + 2
Now, substitute the values
40 = 2( x + 2x + 2)
expand the bracket
40 = 2(3x + 2)
40 = 6x + 4
collect like terms
6x = 40 - 4
6x = 36
x = 36/6
Divide the values
x = 6 inches
Length = 6 inches
Width = 2( 6 + 1) = 2(7) = 14 inches
Hence, the values are 6 and 14 inches
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Answers
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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Solve for x. Round to the nearest tenth, if necessary.
Answers
Using Trigonometry, the value of x in the right triangle is 17.1
Since we have a right angle triangle ; The angle L can be obtained thus ;
L = 180 - (90+67)
L = 23
Using Trigonometry:
Sin23° = opposite/ hypotenuse
Opposite= 6.7
hypotenuse= x
Sin23° = 6.7/x
x = 6.7/sin(23°)
x = 17.14
Therefore, the value of x to the nearest tenth is 17.1
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Jordan is trying to decide which investment is best for his goal of taking a European vacation after his graduation in two years. Jordan hopes to have at least $6,000 for his trip . Weigh the risks in the table and the expected values you calculated in part B against the goal to determine which investment would be better. Justify your response.
Risk for Each Investment
Risk 9-Month Treasury Bonds Computer Co. Stock
liquidity risk
business risk ×
interest rate risk ×
taxability risk ×
inflationary risk ×
market risk ×
currrency risk
political risk ×
Answers
Answer:
E. market risk
Step-by-step explanation:
When investing in stock, an investor should be aware of three key risks which are;
The market risk
The Inflation risk
Liquidity risk
Market risk involves loses that are as result of entire performance of financial markets. Examples are stock market bubbles.Inflation risk is concerned with cash used for an investment, where changes in power to purchase may cause inflation risk.Liquidity risks happens when an investor is unable to sell or buy earlier enough to prevent losses.
brainliest please?
Combining like terms
Answers
Answer:
x^2-5xy+4y^2
Step-by-step explanation:
In the equation we see only 1 example of like terms, 2xy-7xy=-5xy
So the simplified equation is
x^2-5xy+4y^2
This is your answer:
x^2+5xy+4y^2
g(x)=-3x-1 What is g(10
Answers
A function is a relation that gives one input for every one output thus the value of g(10) is -31.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
g(x) = -3x - 1
The value of the function at x = 10
g(10) = -3(10) - 1
g(10) = -30 - 1 = -31
Hence "A function is a relation that gives one input for every one output thus the value of g(10) is -31".
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There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?
Answers
Step-by-step explanation:
how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .
Choose the correct domain and range for the graph
Ty
Answers
Answer:
D
Step-by-step explanation:
do you want an explanation?
btw, plz brainliest :)
What are the coordinates of the point on the directed line segment from (-2,6) to (3,-9) that partitions the segment into a ratio of 3 to 2?
Answers
9514 1404 393
Answer:
(1, -3)
Step-by-step explanation:
The point P that partitions AB into the ratio m:n is ...
P = (mB +nA)/(m+n)
The point you're looking for is ...
P = (3(3, -9) +2(-2, 6))/(3+2) = (9-4, -27+12)/5 = (5, -15)/5
P = (1, -3)
Check all statements that are true.
a. Adding two integers and then taking the remainder produces the same result as taking their remainders first, then adding them, and then applying the remainder operation once more.
b. Saying that a divides b is the same as saying that b is a multiple of a.
c. Adding two integers and then taking the remainder produces the same result as taking their remainders first and then adding them.
d. When you perform division by 5 with remainder, the remainder is an integer from -5 to 5.
e. If an integer a divides a product of two integers b and c, then a must divide b or a must divide c.
f. If an integer divides two numbers, it also divides their difference.
g. If an integer divides two numbers, it also divides their sum.
h. When you perform division by 3 with remainder, the remainder is one of the integers 0,1,2.
i. If a and b are positive integers, and a = bq + r is the decomposition of a given by the division algorithm, then q can be found as the floor of a/b, and then r can be found as r = a - bq.
j. If an integer a divides an integer b, then a also divides any multiple of b.
Answers
Answer:
a. True
b. True
c. False
d. False
e. False
f. True
g. True
h. True
i. True
j. True
Step-by-step explanation:
When the integer divides the two number then their sum is also divisible by that integer. This is also the case in the subtraction when two number are divisible then their difference is also divisible. When there is division by 5 the number not necessarily can be 5 or -5. This statement is not correct.
NEED HELP NOW IM SUPPOSED TO TURN THIS IN TODAY!! :)) TYYYY
Answers
Answer:
it will be 88
Step-by-step explanation:
so you multiply your numbers to get your area so it will be 5×8=40 and 12×4=48 so now you add them up wich will be 88 so that's your answer
Answer:
550.
Step-by-step explanation:
I used an area equation that is equal to (x/2*5*y/2*5), x and y being the sides.
DR=8/2*5*5/2*5=250
K=12/2*5*4/2*5=40=300
We can add these together to get 550.
Mr. Sustar, Dr. Leong, and Mrs. Wolbert's classes raised money for Mathematicians without Borders
in the ratio of 1:6:5. In total, they raised $480. How much did each class raise?
Answers
Answer:
$40 for Mr. Sustar's class, $240 for Dr. Leong's class, $200 for Mrs. Wolbert's class
Step-by-step explanation:
m + 6m + 5m = 480
12m = 480
m = 40, so 6m = 240 and 5m = 200
Brainliest first answer.
Answers
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answers
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2