5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.

Answer:

Step-by-step explanation:

m∠ABC + m∠BAC + m∠ACB = 180°

a + 2a + 6a = 180°

9a = 180°

a = 20°

m∠ABC = 20°

m∠BAC = 2 × 20° = 40°

m∠ACB = 6 × 20° = 120°

Answer:

C. 4 × 10 × 2

Step-by-step explanation:

There are four walls that are ten feet on each side.

You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.

Therefore, your answer is 4 × 10 ×2

Answer:

  -1 ≤ x ≤ 2

Step-by-step explanation:

The given equation can be rewritten as a piecewise function and solved in pieces.

The term |x+1| changes definition at x=-1. For x-values less than that, it is defined as -(x+1). Similarly, the term |x-2| changes definition at x=2. For x-values less than that, its definition is -(x-2). In the following, we consider the three pieces of the function.

__

In this domain, the absolute value functions both have negative arguments, so the equation is effectively ...

  -(x +1) -(x -2) = 3

  -2x +1 = 3 . . . . . . . simplify

  -2x = 2 . . . . . . subtract 1

  x = -1 . . . . divide by -2

This value of x is not in the domain we have defined, so there is no solution in this domain.

__

In this domain, the function |x+1| has a non-negative argument, but the function |x-2| has a non-positive argument. The equation is effectively ...

  (x +1) -(x -2) = 3

  x -x +1 +2 = 3 . . . . . eliminate parentheses, group like terms

  3 = 3 . . . . . . . . . true for the entire domain

The solution here is -1 ≤ x ≤ 2.

__

Both absolute value terms have positive arguments in this domain, so the equation is effectlvely ...

  (x +1) +(x -2) = 3

  2x -1 = 3 . . . . . simplify

  2x = 4 . . . .  add 1

  x = 2 . . . . divide by 2

This value of x is not in the domain we have defined, so there is no solution in this domain.

__

The solution to the given equation is -1 ≤ x ≤ 2.

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  [tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]

Then the value of the entire given expression is ...

  [tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]

_____

A calculator can help you find the value.

Answer: The corresponding point for the function 4f(x) is (5 , 24)

Step-by-step explanation:

no

Answer:

D&E, A&B

Step-by-step explanation:

It's pretty confusing but I know any of the answers with "c" in it is incorrect. The other options seem correct.

Answer:

22x + 155

Step-by-step explanation:

9(x-3)+ 13(x+14)    use distributive law

9x - 27   + 13x + `182    gather 'like' terms

(9x+13x)  + ( -27+ 182)  simplify

22x + 155

Answer:

B

Step-by-step explanation:

i took the test and got a 100% so ys that the answer.

Answer:

B

Step-by-step explanation:

"lateral" means "belonging to the side".

so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.

so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).

each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).

that means both side angles are 60° each.

and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is

180 - 60 - 60 = 60°

hey, all 3 angles are the same !

that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).

and that means all sides are 18 cm long.

the area of a triangle can be calculated for our scenario in 2 major ways :

1. baseline × height / 2

2. Heron's formula (since we know all 3 sides) :

A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2

I don't know which one your teacher wants you to use.

so,

1.

the height we get via Pythagoras

leg² = (baseline/2)² + height²

18² = (18/2)² + height²

324 = 81 + height²

81×4 = 81 + height²

81×3 = height²

height = sqrt(81×3) = 9×sqrt(3)

the area of the triangle is

18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²

2.

s = (18+18+18)/2 = 54/2 = 27

A = sqrt(27(27-18)(27-18)(27-18)) =

= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²

the total lateral area is then

4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²

oh, I see, i think you did not include the square root in the answer options. that is confusing.

but as you can see, option B must be correct.

Answer:

b 64

Step-by-step explanation:

because p is just a mirror of o ,and o =64

Answer:

3x-10=65

Step-by-step explanation:

So, since he used the coupon, you can do 65+10=75.

The cost before the coupon is 75.

The cost of each shirt is 75/3, but that doesn't solve the question.

You can do (assume each shirt's cost is x)

3x-10=65

I could give more in depth but I can't see the options, sorry!

Answer:

(65+10) / 3= x

x would equal what each shirt costs

Step-by-step explanation:

Answer:

Never

Step-by-step explanation:

It should be never since as the value of x increases, so does y.

If the y value increases as x increases, the function is said to be increasing.

If the y value decreases as x increases, the function is said to be decreasing.

Answer:

2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater

Step-by-step explanation:

We're trying to find the concentration of H+ in the solution using the pH, so

let's define pH first.
pH=-log(H+)

This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)

The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8

The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11

To compare how much more the concentration of the hydrogen ion is, we just divide

(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.

Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: 2/45

The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.

Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

Step-by-step explanation:

You must set up a proportion, it is called finding the geometric mean.

[tex] \frac{x}{4} = \frac{36}{x} [/tex]

Then, you must cross multiply to get:

[tex] {x}^{2} = 144[/tex]

Then, take the square root

[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]

[tex]x = 12[/tex]

If this answer helped you, I would greatly appreciate the brainliest :D

The plane HGD contains at least three points

The three points on the plane are H, G and D

Coplanar points are at least three points that are in the same plane

The name of the plane is given as:

Plane = HGD

The above means that points H, G and D are on the plane HGD

Hence, the three points on the plane are H, G and D

Read more about coplanar points at:

https://brainly.com/question/1593959

The surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.

Total surface area of the rectangular prism is calculated with the following formula.

[tex]A=2(lb+bh+lh)[/tex]

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A​ and B​ is 5​ inches.

The length, width, and height of the prism is 5in, 3 in and 4 in long. Put these value in the above formula as,

[tex]A=2(5\times3+3\times4+5\times4)\\A=2(15+12+20)\\A=2(47)\\A=94\rm\; in^2[/tex]

The formula for surface area of one triangle prism is,

[tex]A_t=(a+b+c)l+bh[/tex]

Here, (a,b,c) are the sides of a triangle. The sides of the triangular face are 3 in, 4in and 5 in long. Thus, the surface area of it is,

[tex]A_t=(4+3 +5)5+3\times4\\A_t=(12)5+12\\A_t=72\rm\;in^2[/tex]

For the two triangular prism,

[tex]A_t=2\times72\\A_t=142\rm\; in^2[/tex]

Hence, the surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².

Learn more about the total surface area of a rectangular prism here;

https://brainly.com/question/15456870

#SPJ1

so for a height of 869 feet the time will be 21.725s

[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]

Answer:

95

Step-by-step explanation:

9025 is a perfect square of 95. hence the number of rows is 95.

[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]

[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]

[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]

[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]

[tex]☞︎︎︎ \: x = 95[/tex]

In the equation, Mia correctly graphs the two lines and sees that they do not intersect. This means that the system has zero solution.

From the complete question, Roberto correctly sees that y cannot be equal to both 10 more than three times a number and 2 less than three times a number at the same time.

Delmar correctly concludes that because 3x + 10 and 3x - 2 will never be equal, the system has zero solution.

Learn more about equations on:

https://brainly.com/question/12444483

A number less than 5

⇒ x < 5

When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.

⇒ 2, 3, and 4

[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]

[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]

     [tex]\bullet \ \text{Total numbers less than five: 3}[/tex]

     [tex]\bullet\ \text{Total numbers in the spinner} = 4[/tex]

[tex]\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}[/tex]

Option B is correct.

Answer:

9

Step-by-step explanation:

2 is in the ones place

4 is in the tens

1 is in the hundreds

6 is in the thousands

9 is in the ten thousands

Answer:

The number that is in the ten thousands is 9, whose value is 90,000.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Step-by-step explanation:

First find out the value of X and second find the value of Y and where is figure

side length 2 km and slant height 2 km.

the surface area of the pyramid.

area of 4 triangle= 1/2 × 2 × 2 × 4

= 8km

area of rectangle= 2×2

= 4km

area= 4+8

= 12km

so, the surface area of the pyramid is 12km.

Answer:

4 hours

Step-by-step explanation:

the rate of people coming in it 700 per hour

Answer:

0.01

Step-by-step explanation:

hope this helps -_-

like salsa              hate salsa               total

like ballet                       32                         42                          74  

hate ballet                      22                           4                          26

total                                54                         46                         100

if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...

4/26 = 0.1538 = 15.38% rounds to 15.4% <=

Answer:

[tex]x=-7,-3[/tex]

Step-by-step explanation:

Completing the square means you are changing the polynomial so that it is a perfect square trinomial. Since the middle term is 10, we need the last term to be 25 since 5+5=10, thus, 5*5=25:

[tex]x^2+10x+21=0\\x^2+10x+21+4=0+4\\x^2+10x+25=4\\(x+5)^2=4\\x+5=\pm2\\x=-7,-3[/tex]

As you can see, because we change [tex]x^2+10x+21[/tex] to [tex]x^2+10x+25[/tex] by adding 4 to both sides, we were able to reduce it to [tex](x+5)^2[/tex], a perfect square, and solve the rest of the problem.