Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?

Answer:

50 + 30x = 45x

Step-by-step explanation:

We are told that Susan drove 50 miles before Rick started his journey.

We are told that Susan drives at 30 miles/hr

Which means total distance by Susan for x number of hours is;

50 + 30x miles

Total distance driven by Rick for x number of hours = 45x

For Rick and Susan to be at the same point, their distance covered must be the same.

Thus;

50 + 30x = 45x

45x - 30x = 50

15x = 50

x = 50/15

x = 3.333 hours

Thus, the equation where Rick and Susan would have driven the same number of miles is;

50 + 30x = 45x

Answer:

-10, -1, 5

Step-by-step explanation:

The zeroes of the function are -

x = -10, 5, -1

We have the following function -

f(x) = (x + 10)(x − 5)(x + 1)

We have to determine its zeroes.

In order to find the zeroes of the function, equate f(x) = 0.

(x + a)(x + b) = 0

(x + a) = 0     or     (x + b) = 0

x = - a     or      x = -b

Zeroes = -a , -b

According to question, we have -

f(x) = (x + 10)(x − 5)(x + 1)

Equate f(x) = 0

(x + 10)(x - 5)(x + 1) = 0

(x + 10) = 0       or      (x - 5) = 0      or       (x + 1) = 0

x = -10        x = 5      x = -1

Hence, the zeroes of the function are -

x = -10, 5, -1

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look it dinometer of last two numbers at the down and cross multiple them by the lcm

Answer:

45

State your explanation below:

Answer:

45

Step-by-step explanation:

315/7=45

Answer:

Step-by-step explanation:

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.

Answer:

[tex] \sqrt{2} - \sqrt{2} = 0[/tex]

0 is real number, rational number, integers, whole numbers,

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

First 3 miles = flat rate

Subsequent miles = additional rate per mile x

Equation which represents the scenario :

10 + 2.50(x - 3)

If the amount charged by the taxi service for a certain trip is

10 + 2.50(x - 3)

Then. ;

10 = the flat rate charged for the first 3 seconds

2.50 = additional mile charge

x = total trip distance

Hence, (x - 3) = (total trip distance - first 3 miles) = additional miles traveled

Answer: w = 3

Step-by-step explanation: coz I juss know

Answer:

84

Step-by-step explanation:

y∞x

y=kx (where k is the constant)

24=2k

24/2=k

12=k

therefore the relationship between k,y and x is y=12x

y=12×7

y=84

Answer:4

Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12

Answer:

i think you need to find the squar rout and you can just do that with a caulator.

Step-by-step explanation:

Answer:

3,186,000,000,000,000

Explanation:

3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000

____________________

People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.

Because 3.186e + 15 may come out as 23.66044590547

Answer:

100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

while there are only 2 pairs of whole numbers that multiplied together will be 15:

Answer:

i would say division

Step-by-step explanation:

Answer:

Division

Step-by-step explanation:

When we multiply a number is by its (multiplicative) inverse, the result is always 1. Which means, when we add any number to zero, both the operation and inverse operation will give the same number.

Answer:−3+3=−4

2+3−=15

4−3−=19

2 3

Step 1: Pair the equations to eliminate y because the y terms are already additive inverses

1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

6 −2=34

Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

into one of the original equations

3 =11

3 5 +2=11

4

5−3+3 −2 =−4

15+2=11

5

6 −2=34

5−3−6=−4

−3−1=−4

9x

2=−4

=−2

= 45

x = 5

−3=−3

=1

The solution (5, 1, -2)

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

A) 3/2

B) 1

C)  -1

Using the slope formula, and plugging-in values

We want to find the slopes of different lines, given that we know two points on each line.

We will get:

a) 3/2

b) 1

c) -1

Now let's see how to find the slopes.

We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using that equation we can find the slopes for this problem.

a) (1, 6) and (-3,0)

The slope will be:

[tex]a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}[/tex]

b) (7,2) and (0,-5)

The slope will be:

[tex]a = \frac{2 - (-5)}{7 - 0} = 1[/tex]

c)  (-7,-3) and (-6,-4)

The slope will be:

[tex]a = \frac{-3 - (-4)}{-7 - (-6)} = -1[/tex]

If you want to learn more, you can read:

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Answer:

Step-by-step explanation:

2x - 4 = x + 6           add 4 to both sides

2x - 4 + 4 = x + 6 + 4

2x = x + 10     subtract x from both sides

2x - x = x - x + 10

x = 10

Answer:

The value  is [tex]P_o = \$ 561958.9 [/tex]

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  [tex]C =  2000 \  gallon[/tex]

   The duration usage is  [tex]t = 15\ years \ ago[/tex]

   The cost of 2000-gallon tank 15 years ago is [tex]P =  \$100,000[/tex]

    The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]  

    The power sizing exponent is [tex]e = 0.57[/tex]

     The initial construction cost index is  [tex]u_1 = 180[/tex]

      The new construction after 15 years cost index is  [tex]u_2 =600[/tex]

Equation for the power sizing exponent is mathematically represented as

      [tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]

=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago  

So

     [tex]P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]

      [tex]P_n  =  \$168587.7[/tex]

Equation for the cost index exponent is mathematically represented as

      [tex]\frac{P_o}{P_n}  =  \frac{u_2}{u_1}[/tex]

Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today

So

       [tex]\frac{P_o}{168587.7}  =  \frac{600}{180}[/tex]

=>    [tex]P_o = \frac{600}{180} * 168587.7[/tex]

=>      [tex]P_o = \$ 561958.9 [/tex]

Answer:

2. Answer is 4 and for 3. P= 1/4s

Step-by-step explanation:

Simply divide the values of one another.

This results you with:

8/2 = 4

12/3 = 4

10/5 = 2 -> I think there was an error or typo here

40/10 = 4

The constant proportion would be 4 because it is constant in every situation for S and P.

The equation would be p= 1/4s because 1 value of p would equal 4 s.

Answer:

the value is 6

Step-by-step explanation:

substitue

Answer:

10 months

Step-by-step explanation:

30x = 22x + 80

8x = 80

x = 10

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

Answer:

wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

Answer: [tex]x \geq 3[/tex]

The graph has a closed circle pointing to the right

Answer:

Step-by-step explanation:

Y=2x+1??

Answer:

2x - y = -1

Step-by-step explanation:

hope this helps

Answer:

x° = 60

Step-by-step explanation:

Vertically opposite angles are congruent, thus

x° = 60

Answer:

It is x° = 60 (✿◠‿◠)

Answer: 3.33miles

Step-by-step explanation:

given data:

distance covered in first 15 minutes = 10 miles

time spent buying gas and some snacks = 10mins.

= 10/15 * (15 –10 )

= 3.33miles

jacob has traveled 3.3miles between 10 and 15 minutes.

Answer:

3.33 miles!

Step-by-step explanation:

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105  we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

Answer:

Step-by-step explanation:

X<2

Answer:

67 and -1

Step-by-step explanation:

You always multiply first so its 7+64-4 and that becomes 67

You have to distribute first so the problem would be 5-21+15   which is -1