1) There are about 20 million people in New York State, with a total land area of about 47,000 square miles.
What is the population density of New York State?
A. 0.0004 people per sq. mile
B. 426 people per sq. mile
C. 2,350 people per sq. mile
D. 940,000 people per sq. mile

Answer:

All are corrects.

Step By Step Explanation:

It's all the same thing.

Answer:

midpoint (4,-7)

Step-by-step explanation:

please see work attached where you utilize the midpoint formula.

please give thanks :)

Answer:

[tex](4,-7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Endpoint (2, -4)

Endpoint (6, -10)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

y=mx+b

From a Graph:

m=3/2 b=3

Equation: y=3/2x+3

Non-Proportional

Negative Slope

2nd From a Graph:

m=5/2 b=4

Equation: y=5/2x+4

Non-Proportional

Negative Slope

Given :

To find :

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

i think its c i could be wrong but just go with your gut felling

Step-by-step explanation:

Answer:

4.62910049578

Step-by-step explanation:

variation is standard deviation squared

variance = 21.428571428571

square root variance for answer.

Answer:

29 1/2-7 3/4 is 21.75

Then 21.75-1/2 is 21.25

Step-by-step explanation:

There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.

His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].

So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).

= (59/2 - 31/4).

= (118 - 31)/4.

= 87/4c of gumbo soup.

Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.

= (87/4 - 13/2)c.

= (87 - 26)/4c.

= 61/4.

= [tex]15\frac{1}{4}[/tex]c of gumbo soup.

learn more about fractions here :

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Answer:

The family will travel at least 4 days.

Step-by-step explanation:

The inequality would look like this:

350d ≤ 1400

it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.

To solve the inequality, use inverse operations.

350d ÷ 350 ≤ 1400 ÷ 350

d ≤ 4

the family will travel at least 4 days.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

See below

Step-by-step explanation:

Mr. Ahmet needs:

more to have enough money to buy those two houses.

Monthly, he gets interest paid:

Time to have required amount is:

Without taking the deposit he would need time:

He could wait and use the interest to buy houses provided they will still be available and price remains same.

Answer:

Step-by-step explanation:

c and e is not polynomials

Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:

Md = 24 x 60 = 1440 minutes.

Hence, the number of minutes in 365.25 days is given by:

My = 1440 x 365.25 = 525,960 minutes

More can be learned about proportions at https://brainly.com/question/24372153

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Answer:

[tex]350 * D \geq 1400[/tex]

[tex]D\ge 4[/tex]

This means that the family must travel for at least 4 days.

Step-by-step explanation:

Given

[tex]Rate = 350\ miles\ daily[/tex]

[tex]Distance = 1400\ miles\ (atleast)[/tex]

Required

Determine and solve the inequality

The number of days is represented with D

So:

On any D number of days, the family would have covered a distance of 350 * D miles

If the total distance is at least 1400, then the inequality is:

[tex]350 * D \geq 1400[/tex]

[The term "At least" is used to represent greater than or equal to]

[tex]350 * D \geq 1400[/tex]

Divide through by 350

[tex]\frac{350 * D}{350} \ge \frac{1400}{350}[/tex]

[tex]D \ge \frac{1400}{350}[/tex]

[tex]D\ge 4[/tex]

This means that the family must travel for at least 4 days.

Answer:

54 coins left

Step-by-step explanation:

72 x .25 = 18

72 - 18 = 54

Answer:

100% - 25% = 75%

72 x 0.75 = 54

He had 54 coins left

Step-by-step explanation:

Ok, to solve this question, first divide 72 by 100--- 72/100=.72

next, multiply .72*25 and u get--- 18

next subtract 72 and 18--- 72-18=54

the answer is the boy has 54 coins left

hope this helps!

Answer:

The Inverse Tangent Function (arctan)

Graph of y = tan x.

The graph of arctan(x) is second graph.

We have inverse function [tex]y=tan^{-1} x[/tex]

Creating the table

x     0   π/4    π/2     -π/2     -π/3      π/3

y     0   1         ∞        -∞       -√3       √3

From the given graphs we see that the second graph satisfies the values.

So, the correct graph for arctan(x) is second graph.

Learn more:https://brainly.com/question/2849972

Answer:

  c)  $51,450

Step-by-step explanation:

  Current payroll:

     21 * 49000 = $1,029,000

  Payroll after 5% increase:

     1029000 * 1.05 = $1,080,450

  Difference between after increase and current payroll:

     1080450 - 1029000 = $51,450

WORD PROBLEM:

Answer:

We obtained the two exponential functions:

Step-by-step explanation:

As we know that the exponential function is of the form

f(x) = abˣ

Given the points

We know these points belong to the exponential function.

so substituting the values (3, 7) and (5, 63) in the function

putting (3, 7)

y = abˣ  

7 = ab³

also putting (5, 63)

y = abˣ

63 = ab⁵

Considering the 2nd equation

63 = ab⁵

as

[tex]a^b\times \:a^c=a^{b+c}[/tex]

so

63 = ab³×b²  

substituting 7 = ab³ in 63 = ab³×b²  

63 = 7 × b²

b² = 63/7

b² = 9

b = ± 3

If b = 3

plug in b = 3 in the equation 7 = ab³ to find the value 'a'

7 = ab³

7 = a(3)³

7 = a × 27

a = 7/27

so, a = 7/27 and b = 3 would give us the function

y = abˣ

[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex]

if b = -3

plug in b = -3 in the equation 7 = ab³ to find the value 'a'

[tex]\:7\:=\:a\left(-3\right)^3[/tex]

[tex]a\left(-27\right)=7[/tex]

[tex]a=-\frac{7}{27}[/tex]

so, a = -7/27 and b = -3 would give us the function

y = abˣ

[tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]

Thus, we obtained the two exponential functions:

Answer:

[tex]A = 43.74[/tex]

Step-by-step explanation:

Represent Length with L, Width with W and Perimeter with P

[tex]P = 27[/tex]

[tex]L=x+3[/tex]

[tex]W = \frac{2}{3}(x + 3)[/tex]

Required

Determine the Area

From the perimeter, we need to solve for x;

[tex]P = 2(L + W)[/tex]

Substitute values for P, L and W

[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]

[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]

Collect Like Terms

[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]

[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]

[tex]27 = 2(5 + \frac{5x}{3})[/tex]

Open bracket

[tex]27 = 10 + \frac{10x}{3}[/tex]

Collect Like Terms

[tex]27 - 10 = \frac{10x}{3}[/tex]

[tex]17= \frac{10x}{3}[/tex]

Solve for x

[tex]x = \frac{3*17}{10}[/tex]

[tex]x = \frac{51}{10}[/tex]

[tex]x = 5.1[/tex]

The Area is then calculated using:

[tex]A = L * W[/tex]

[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]

[tex]A = \frac{2}{3}(x+3)^2[/tex]

Substitute 5.1 for x

[tex]A = \frac{2}{3}(5.1+3)^2[/tex]

[tex]A = \frac{2}{3}(8.1)^2[/tex]

[tex]A = \frac{2}{3}*65.61[/tex]

[tex]A = \frac{2*65.61}{3}[/tex]

[tex]A = \frac{131.22}{3}[/tex]

[tex]A = 43.74[/tex]

Hence, the area is [tex]43.71cm^2[/tex]

Answer:

$25 a lamp

Step-by-step explanation:

First divide $10,000  by 500 lamps to find how much one of them cost

That is $20 a lamp so then multiply .25 *20 or 1/4 *20

you get 5 than add 20 +5=25

Answer:

A 4 side dice.

Step-by-step explanation:

Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.

You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.

Answer:

the first 7 has a value of 7,000 while the second 7 has a value of 700

Answer: 20 by 16

Step-by-step explanation:

5:4 OR 5x:4x

Perimeter = 2(l x w)

P = 2(5x x 4x)

P = 10x + 8x = 18 x

18x=72

x=4

5 x 4 = 20

4 x 4 = 16

Answer:

x is greater than it equal to 22

Step-by-step explanation:

Have a nice day! xoxo Arael :)

Answer:

25%

Step-by-step explanation:

16/64 = .25 x 100 = 25%

Answer:

4

Step-by-step explanation:

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

[tex]z_1 = 3y^2[/tex] ;

where initially;

[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]

The volume of the region is given by a triple which is expressed as:

[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]

[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]

V = 2

Thus, the volume of the region is 2

Answer:

14.8%

Step-by-step explanation:

Step 1: Given data

True value for the  heat of vaporization of water (ΔH°vap(T)): 540 cal/g

Experimental value for the  heat of vaporization of water (ΔH°vap(E)): 620 cal/g

Step 2: Calculate the experimental percent error

To determine the experimental percent error we will use the following expression.

%E = |ΔH°vap(T) - ΔH°vap(E)|/ΔH°vap(T) × 100%

%E = |540 cal/g - 620 cal/g|/540 cal/g × 100%

%E = 14.8%