The elevators in an office building have been approved for a maximum load of 3,600 pounds.

Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?

Plz help thx.

Answer:

Step-by-step explanation:

Circumference formula:

Substitute and solve for d:

The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

Reasons:

The table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]

[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

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Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

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Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

Step-by-step explanation:

Given:

System as per question:

Or

Step-by-step explanation:

Let the number of apples be a and lemons be l . Then ,

=> a + l = 17

Also ,

=> 35a + 15l = $ 3.95

Answer:

25cm = 250mm

15g = 1500mg

Step-by-step explanation:

cm to mm = multiply by 10

therefore 25 x 10 = 250

g to mg = multiply by 1000

therefore 15 x 1000 = 15000

Answer:

50.7 miles per hour

Step-by-step explanation:

I ve seen this question before

Answer:

pemdas is an order of operation

Step-by-step explanation:

PEMDAS STANDS FOR parentheis, exponents, multiplication, division, addition, and subtraction. it is the order of how you should solve multi step equations EXAMPLE: 1+2x2 FIRST you have to multiply the 2x2 because multiplication comes first in PEMDAS, then you do the addition so 2x2=4+1=5

PEMDAS is the order that you solve a problem.

PEMDAS stands for:

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

If you have an equation or expression that you need to solve, you solve it in this order. You do the parenthesis first, then you solve the exponents, then you do the multiplication and division from left to right, and last you do addition and subtraction from left to right.

In the equation

2 + 3 * 5,

first you would do 3 * 5 because multiplication is before addition.

2 + 15

Then you would do the addition to get the answer:

17.

Please give brainliest

Answer:

Bottom left.

Step-by-step explanation:

In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.

In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.

Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.

Answer:

42

Step-by-step explanation:

Answer:

Its the last one!

Step-by-step explanation:

Remember

closed circle is less than or equal to and greater than or equal to

open circles are the less than and greater than!

and because it is the

less than or equal to because its going up.(left)

Hola!!

5p² = 20

p² = 20/5

p² = 4

p = √4

p = 2.

El valor de p² es 4 & p es 2.

------------

¡Espero que te ayude!

RainbowSalt2222 ☔

Answer:

25 pesos 80 pw

pesos I'm not sure

Step-by-step explanation:

25. 80

Answer:

A 20

Step-by-step explanation:

If you subtract 89.99 -68.25 you will equal 20

Answer:  None of the answers are viable.

Step-by-step explanation:

a ≅ 8b

a/b ≅ 8

A.  (3.1/2.5) = only slightly greater than 1

B.  2.5/3.1    = slightly less than 1

C.  (2/1.2) = less than 2

D.  1.2/2 = less than 1

None of these answers is viable.

None of the options are correct.

Given,

The number a is about 8 times greater than b.

We need to find the correct value of a and b from the given options.

A. a = 3.1 and b = 2.5

B. a = 2.5 and b = 3.1

C. a = 2 and b = 1.2

D. a = 1.2 and b = 2

We have,

2 times M = 2x M

2 greater than M = M + 2

2 less than M =  M - 2

Sum = adding

Times = Multiplication

Find the value of a and b.

We have,

The number a is about 8 times greater than b.

We can write it as

a = 8 x b

Find out which option is correct.

A. a = 3.1 and b = 2.5

a = 8 x b

3.1 = 8 x 2.5

3.1 ≠ 20

So this option is incorrect.

B. a = 2.5 and b = 3.1

2.5 = 8 x 3.1

2.5 ≠ 24.8

This option is not correct.

C. a = 2 and b = 1.2

2 = 8 x 1.2

2 ≠ 9.6

This option is not correct.

D. a = 1.2 and b = 2

1.2 = 8 x 2

1.2 ≠ 16

This option is not correct.

Thus none of the options are correct.

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Answer:

-8<x<2

Step-by-step explanation:

divide everything by 3 to get -6<x+2<4. next subtract 2 from everything to get -8<x<2

Answer:

90% sure it's the 4/5 x 4/5 answer. Might be wrong though.

Answer:

3•2•7=42•2=84

12•10•7=840

84+840=924in^3

Step-by-step explanation:

Answer: 80

Step-by-step explanation:

16, 32, 48, 64, 80

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80

Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.

Since the amount of chocolate decreases as the number of attendees increase;

We use inverse variation to model the scenario :

Taking any pair of points :

3000 = k/8

k = 3000 × 8

k = 24000

Therefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.

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Answer:

51.81

............................................

Answer:

51.807 rounded to two decimal places is 51.81

Step-by-step explanation:

Brainliest please

~hannah32010~

Answer:  b

Step-by-step explanation:

Combine the terms after removing the parentheses.

Reference equation: 4x + 12

a.  4x + 12

b.  4X +7

c.  4x + 12

d.  4x + 12

Answer:

Here are your 3 answers!  Hope this helps please mark brainliest! Thanks :)

Step-by-step explanation:

11. X=10

12.X=-9

13.X=7

Answer:

The first one x = 10.

The second one x = -9

The third one x = 7

Step-by-step explanation:

Answer:

u=92

Step-by-step explanation:

Like and give 5 star rating

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

Answer: 1,000.77

Step-by-step explanation:

After 1 year: 980 + 0.3% = 982.94

After 2 years: 982.94 + 0.3% = 985.89

After 3 years: 985.89 + 0.3% = 988.85

After 4 years: 988.85 + 0.3% = 991.82

After 5 years: 991.82 + 0.3% = 994.80

After 6 years: 994.80 + 0.3% = 997.78

After 7 years: 997.78 + 0.3% = 1,000.77

Brainliest?

Answer:

well if you managed to ask this question then you're signed in. but maybe next time you might wanna lie your age...