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 1

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 2

Answer:

5

Step-by-step explanation:

no or 6


Related Questions

You hire 2 students to deliver takeout menus around town. One student (Darla), delivers 350 menus in 2 hours, and another student (Drew, delivers 510 in 3 hours. Who works the faster?​

Answers

Darla is faster she gets more done in less time yes drew has a higher total but he worked a extra hour

Darla is faster because she gets more done in less time

Which point on the graph represents the y-intercept?
у
5
V
4
N 03
W
>
1
1
N
-5 4 -3 -2 -14
1 2 3 4
12
4
25

Answers

Take a picture of the assignment and post it in your question.

Answer:

a

Step-by-step explanation:

did it on edge 2020

WHAT IS THE AVERAGE OF -2.5, 5.2, 1.7, -0.8?

Answers

The average is 0.9

-2.5 + 5.2 + 1.7 + (-0.8) = 3.6

3.6 / 4 = 0.9

Answer:

0.9

Step-by-step explanation:

-2.5 + 5.2 + 1.7 + -0.8 = 3.6

3.6 / 4 = 0.9

[tex]\frac{x}{5}[/tex] + 7 = -3

Answers

Answer:

[tex]\huge{\fbox{\sf{ x = -50}}}[/tex]

Step-by-step explanation:

[tex]\frac{x}{5} + 7 = -3[/tex]

Take the L.C.M of 5 and 1 ( i.e 5 )

⇒[tex]\frac{x+7 * 5}{5} = -3[/tex]

⇒[tex]\frac{x+35}{5} = -3[/tex]

Do cross multiplication

⇒[tex]x + 35 = -3 * 5[/tex]

⇒[tex]x + 35 = -15[/tex]

Move 35 to right hand side and change its sign

⇒[tex]x = -15 - 35[/tex]

Remember : The negative integers are always added but posses the negative ( - ) sign.

⇒[tex]x = -50[/tex]

The value of x is [tex]\boxed{\sf{ -50}}[/tex]

Hope I helped!

Best regards!

~[tex]\text{ TheAnimeGirl}[/tex]

Here's a linear equation in variable x and we have to compute the value of x for the above equation.

Given equation:

[tex] \large{ \rm{ \dfrac{x}{5} + 7 = - 3}}[/tex]

So, Let's start solving the above equation:

Move 7 to the Right hand side,

Remember: Inverse of addition is subtraction

[tex] \sf{ \dfrac{x}{5} = - 3 - 7}[/tex]

[tex] \sf{ \dfrac{x}{5} = - 10}[/tex]

Now multiplying 5 in other side because again the inverse of division is multiplication,

[tex] \sf{ x = - 10 \times 5}[/tex]

[tex] \sf{x = \boxed{ \red{ - 50}}}[/tex]

And the required value for x is -50. So, we are done....

Carry On Learning !

A segment of a line that has an endpoint and extends infinitely in one direction is a

Answers

that would be a ray because it has a single endpoint and extends infinetly in one direction.

Josie deposited $450 in a bank account

Answers

Answer:

What is the question?

Step-by-step explanation:

Deposit means add so he added $450 to his bank account

Which of the following quantities are inversely proportional? WILL GIVE BRAINLIEST AND 25 POINTS
a
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
b
The height of a rectangular fish tank and the area of its base, if the volume is constant
c
The amount of candy purchased for $25.50 and the price per pound
d
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

Inverse proportion occurs when one value increases and the other decreases

D is the answer because as each cat eats the same amount of dry cat food, there is less dry cat food in the bag; so this is why D best answers the question.

Hope this helps!

Answer:

a is false, B is true,

Step-by-step explanation:A is false because the more hours you work, the more money you get.

B is true because if the volume is constant, the bigger the length, the smaller the width, or vice versa.

help and explain if you can please ​

Answers

Hope this helps please give brainliest

pleas help me y'all please

Answers

Answer:

D

Step-by-step explanation:

in order to compare all the numbers, we have to express them all in the same form to compare them easily, we will choose to convert all of them to decimal form:

20% = 20/100 = 0.2

1/3 = 0.33333

3.4 x 10⁻¹ = 0.34

-5/2 = -2.5

comparing all these numbers, it is now clear that in decending order:

0.34 > 0.33333 > 0.2 > -2.5

or

3.4 x 10⁻¹ > 1/3 > 20% > -5/2

(Answer D)

how could you change the expression -8 * -5 * -3 so that product is positive?​

Answers

Answer:

yes just multiply it once more by -1

Step-by-step explanation:

Solve the formula −4x+y=−6 for y.

Answers

Answer:

y=4x-6

Step-by-step explanation:

The formula for y is -6+4x from the equation −4x+y=−6.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is −4x+y=−6

Minus four times of x plus y equal to minus six.

We need to solve the formula for y.

In the given equation x and y are the variables.

Isolate the variable y by add 4x on both sides of the equation

y=-6+4x

Hence, the formula for y is -6+4x from the equation −4x+y=−6.

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0.12k = 10.08

A.)48
B.)84
C.)0.48
D.) 0.048

Answers

Answer:

[tex] k = 10.08 \times 100 \div 0.12 \times 100 = 1008 \div 12 = 84[/tex]

Step-by-step explanation:

option B 84

.

Help please.... I have got this wrong 2xs only once chance left

Answers

Answer:

a: 5x-1 = -6

b: 5x-1 = -6

        +1   +1

5x = -5

divide

x = -1

which statement is true about the transformation

Answers

Answer:

Where are the statements

Answer:

The answer is A

Step-by-step explanation:

Got this from edge

For what values of the variable does each of the following expressions make sense? We call the set of this values the domain of the expression. \sqrt{4-6a}

Answers

Given:

The expression is [tex]\sqrt{4-6a}[/tex].

To find:

The domain of the expression.

Solution:

We have,

[tex]\sqrt{4-6a}[/tex]

We know that, the square root is defined for only non-negative values. So,

[tex]4-6a\geq 0[/tex]

[tex]4\geq 6a[/tex]

Divide both sides by 6.

[tex]\dfrac{4}{6}\geq a[/tex]

[tex]\dfrac{2}{3}\geq a[/tex]

Thus, the value of variable less than [tex]\dfrac{2}{3}[/tex] make any sense.

Therefore, the domain of the given expression is [tex](-\infty,\dfrac{2}{3}][/tex].

The domain of a function is the set of input values the function can take

The domain of the expression is: [tex]\mathbf{(-\infty, \frac 23]}[/tex]

The expression is given as:

[tex]\mathbf{\sqrt{4 - 6a}}[/tex]

Set the radicand to 0

[tex]\mathbf{4 - 6a = 0}[/tex]

Add 6a to both sides

[tex]\mathbf{6a = 4}[/tex]

Divide both sides by 6

[tex]\mathbf{a = \frac 23}[/tex]

This means that, the value of a must not be greater than 2/3.

Hence, the domain of the expression is: [tex]\mathbf{(-\infty, \frac 23]}[/tex]

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What is the slope of the line that passes through the points
(4, -3) and (8, -2)?

Answers

Step-by-step explanation:

Hey there!

The points are;(4,-3) and (8,-2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{ - 2 + 3}{8 - 4} [/tex]

[tex]m = \frac{1}{4} [/tex]

Therefore, the slope is 1/2.

Hope it helps...

construction company builds an average of 48 houses per year. How many houses per month does the company build?

Answers

Answer:

48 per year would be 4 houses a month

Step-by-step explanation:

4 * 12 = 48

wwe.iw What is the square root of -1? Oi O1 O1​

Answers

Answer:

i (imaginary number)

Step-by-step explanation:

[tex] \sqrt{ - 1} = i(imaginary \: number)[/tex]

A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).

x
y
0
0
15
3
30
6

Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10, 2)
(40, 9)
(50, 38)
(100, 76)

Answers

Answer:

(10, 2)

Step-by-step explanation:

I just did the quiz.

The additional set of values that could be included in the table will be ( 10, 2). the correct option is A.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given table is as follows:-

x             y

0            0

15           3

30          6

Here the x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).

The ratio between the values x and y is 15:3 or 30:6 or 5 :1. From the given options the additional set of values that could be included in the table having the same ratio of 5:1 is ( 10, 2 ).

Therefore, the additional set of values that could be included in the table will be (10, 2). the correct option is A.

To know more about ratios and proportions follow

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Juliet wants to read more this year. So far, she has read two books for a total of 730 pages. Juliet's goal is to read 25 pages each day for the rest of the school year. Let x represent the number of days that she has followed her plan, and let y represent the total number of pages read.

Which of the following linear equations can Juliet use to model her plan and calculate the total number of pages read?


y=25−730xy is equal to 25 minus 730 x

y=730−25xy is equal to 730 minus 25 x

y=25+730xy is equal to 25 plus 730 x

y=730+25x

Answers

Answer: y= 730+25x

Step-by-step explanation:

Given: Total pages she already read = 730

Pages read by her in 1 week = 25

Let x = number of days that she has followed her plan, and let y = the total number of pages read.

Then total pages she will read in x days = 25x

therefore , Total pages she read till now(y) =730 + 25x

Hence, the linear equations can Juliet use to model her plan and calculate the total number of pages read:

y= 730+25x

Marcus hiked 4 3/2 miles. John hiked 3 1/3 miles. How much further did Marcus hike?

Answers

Answer:

2.16666666667

plz give me brainliest

How much less than -2 is -6?​

Answers

Answer is :

-4

Step-by-step explanation:

because -2-4=-6

“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055

Answers

The 5 in the tens place is 50 in value
The 5 in the ones place is 5 in value

PLEASE PLEASE HELP WILL MARK BRAINLIEST
Find the equation of the line in slope-intercept form through (−5, 6) with slope = 3

Answers

Answer:

The answer is

[tex] \huge y = 3x + 21[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (−5, 6) and slope = 3

The equation of the line is

[tex]y - 6 = 3(x + 5) \\ y - 6 = 3x + 15 \\ y = 3x + 15 + 6[/tex]

We have the final answer as

[tex]y = 3x + 21[/tex]

Hope this helps you

Answer:

The answer is y=3x+21

Step-by-step explanation:

During a thunderstorm​ yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per​ minute?

Answers

9514 1404 393

Answer:

  20 mm/min

Step-by-step explanation:

To find the rate in mm per minute, divide mm by minutes:

  (600 mm)/(30 min) = 20 mm/min . . . unit rate

Suppose that when a fabric production process is in control, the number of flaws in a piece of fabric of length l yards has a Poisson distribution with mean (.02)l. Suppose that periodically a length of fabric of 10 yards is inspected and the flaws are counted. If there are too many flaws, say more than k, the process will be presumed to be out of control, and stopped, and fixed. What should k be such that the probability of stopping the process when it is really in control is at most 5%

Answers

Answer:

Answer is attached below

Step-by-step explanation:

A length of fabric sampled = 10 yards

number of flaws in a piece of fabric having  length = l yards

Poisson distribution mean = 0.02l

If the flaws are > k  = process out of control hence would be stopped and fixed

Calculate The value of  K  such that the probability of stopping the process when it is really in control is at most 5%

using Poisson distribution

attached below is the detailed solution

the function f(x)=-4x+9 has a range given by {1, -3, -7, -15, -19, -23} select the domain values of the function from the list. complete the explanation for how you arrived at your answer. btw this isn’t actually a test it’s assigned as hw but please help

Answers

Let's see what to do buddy....

_________________________________

Remember from now on ,

rang = output

and also Remember ,

output = y = f(x)

So : range = f(x)

So we must put the range number instead of f(x) and solve for x.

Let's do it...

=======================================

[tex]f(x) = 1[/tex]

[tex] - 4x + 9 = 1[/tex]

Both sides minus 9

[tex] - 4x = 1 - 9[/tex]

[tex] - 4x = - 8[/tex]

Negatives simplified

[tex]4x = 8[/tex]

Divided both sides by 4

[tex]x = \frac{8}{4} \\ [/tex]

[tex]x = 2[/tex]

_________________________________

[tex]f(x) = - 3[/tex]

[tex] - 4x + 9 = - 3[/tex]

[tex] - 4x = - 3 - 9[/tex]

[tex] - 4x = - 12[/tex]

[tex]4x = 12[/tex]

[tex]x = \frac{12}{4} \\ [/tex]

[tex]x = 3[/tex]

_________________________________

[tex]f(x) = - 7[/tex]

[tex] - 4x + 9 = - 7[/tex]

[tex] - 4x = - 7 - 9[/tex]

[tex] - 4x = - 16[/tex]

[tex]4x = 16[/tex]

[tex]x = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

[tex]f(x) = - 15[/tex]

[tex] - 4x + 9 = - 15[/tex]

[tex] - 4x = - 15 - 9[/tex]

[tex] - 4x = - 24[/tex]

[tex]4x = 24[/tex]

[tex]x = \frac{24}{4} \\ [/tex]

[tex]x = 6[/tex]

_________________________________

[tex]f(x) = - 19[/tex]

[tex] - 4x + 9 = - 19[/tex]

[tex] - 4x = - 19 - 9[/tex]

[tex] - 4x = - 28[/tex]

[tex]4x = 28[/tex]

[tex]x = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

_________________________________

[tex]f(x) = - 23[/tex]

[tex] - 4x + 9 = - 23[/tex]

[tex] - 4x = - 23 - 9[/tex]

[tex] - 4x = - 32[/tex]

[tex]4x = 32[/tex]

[tex]x = \frac{32}{4} \\ [/tex]

[tex]x = 8[/tex]

=======================================

So the domain values are :

x = { 2 , 3 , 4 , 6 , 7 , 8 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Please answer I need help thank you

Answers

Answer:

what is the question

Step-by-step explanation:

Give the next three terms of each Sequence.
1. 2,9,16,23,30,...
2. 49,44,39,34,29,...
3. 81,27,9,3,1,...
4. 1,4,9,16,25,...
5. 18,14,10,6,2,.....

Answers

1.) 37
2.)24
3.)1/3
4.)36
5.)-2

Hope it helps !!

Consider the line y=-1/2x+8
What is the slope of a line parallel to this line?
What is the slope of a ine perpendicular to this line?

Answers

Given parameters:

Equation of the line is y = -[tex]\frac{1}{2} x[/tex] + 8

Unknown:

Slope of line parallel to this line = ?

Slope of line perpendicular = ?

Solution:

A line parallel to this line will have the same slope with it.

A line perpendicular will have the negative inverse of this slope;

Slope of line  = - [tex]\frac{1}{2}[/tex]

Slope of line parallel to this line = [tex]-\frac{1}{2}[/tex]

Slope of line perpendicular = negative inverse = -( -([tex]\frac{1}{\frac{1}{2} }[/tex]))   = 2

So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2

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