HELP!
- Your work solving the inequality
- The solution in set notation
- The solution in interval notation

The number of people by the year 2050 is obtained as 927915 people.

We know that population is an exponential growth problem in this case. We have to apply the formula;

P = Poe^rt

P = population at time t

Po = Initial population

r = population growth rate

t = time taken

Now;

We have to use the relation to find the growth rate as follows;

733,000 = 622,000 e^20r

733,000/622,000 = e^20r

1.178 = e^20r

ln(1.178) = 20r

r = ln(1.178)/20

r = 0.008

Now;

In the year 2050, we would have;

P = 622,000 e^50 * 0.008

P = 927915 people

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Matt travelled on a bike and cover a distance of 60 miles . If he had gone 6mph faster, he would have arrived 5 hours. Therefore, the actual rate  is 6 mph.

Rate is the ratio between two related quantities in different units.

He went on a bike ride of 60 miles.

He realized if he had gone 6 miles per hour he would have arrived 5 hours earlier.

The speed he actually ride can be calculated as follows:

let

x = speed he actually ride

y = time he arrived

Therefore,

speed = distance / time

x = 60 / y

On, the other hand his permutation is as follows:

x + 6 = 60 / y - 5

(x + 6)(y - 5) = 60

since, x = 60 / y we can substitute it in the equation

(60 / y + 6)(y - 5) = 60

60 - 300 / y + 6y - 30 = 60

- 300 / y + 6y = 60 - 30

- 300 / y + 6y = 30

6y² - 300 = 30y

6y² - 30y - 300 = 0

y² - 5y - 50 = 0

y² + 5y - 10y - 50 = 0

y(y + 5) -10(y + 5) = 0

(y - 10)(y + 5) = 0

y = 10 or -5

we cannot use negative values.

Therefore,

y = 10

x = 60 / y = 60 / 10 = 6 miles per hour

He actually rode 6 miles per hour.

If he went 6 mph faster that would be 6+6 = 12 mph

If he arrived 5 hrs sooner that would be 10 - 5 = 5 hrs

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Answer:

I did jack and ace to

Step-by-step explanation:

Explanation:

A standard deck has 13 ordinal cards (Ace, 2-10, Jack, Queen, King) with one of each in each of four suits (Hearts, Diamonds, Spades, Clubs), for a total of

13

×

4

=

52

cards.

If we draw a card from a standard deck, there are 52 cards we might get.

There are 16 cards that will satisfy the condition of picking a Jack, Queen, King, or Ace.

This gives us:

P

(

randomly draw a Jack, Queen, King, or Ace

)

=

16

52

=

4

13

Solve it through arithmetic sequence

Rule is

So

Answer:

[tex]14 \\ 11 \\ 8[/tex]

Answer:

7

Step-by-step explanation:

the sum of 6 and 4 = 6 + 4 = 10

half of 10 = 5 (10 divided by 2)

12 - 5 = 7

Take it in steps! Hope this makes sense! If you have further questions, let me know!

- profparis

a brainliest would be appreciated if i helped you! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the expression is 7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

12 minus half the sum of 6 and 4​

This can be written as an expression as,

= 12 - 1/2 (6 + 4)

= 12 - 1/2 x 10

= 12 - 5

= 7

Thus,

The value of the expression is 7.

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Answer:

x ≈ 59.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{18}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{30}{18}[/tex] ) ≈ 59.0° ( to the nearest tenth )

Answer:

0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]

The solution is, 1/3 of 1/5 is 0.667.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have  to find 1/3 of 1/5

now, let,

x be the required number.

so, we get,

1/3 × 1/5 = x

or, x = 1/15

or, x = 0.667

Hence, The solution is, 1/3 of 1/5 is 0.667.

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Answer:

50 milimeters

Answer:

arc RS = 60°

Step-by-step explanation:

the secant- secant angle P is half the difference of ots intercepted arcs, that is

40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction

80° = QT - RS

80° = 140° - RS ( subtract 140° from both sides )

- 60° = - RS ( multiply both sides by - 1 )

60° = RS

Answer:

its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again

Step-by-step explanation:

Answer:

1. SSS

2. SAS

3. ASA

4. ASA

Step-by-step explanation:

1. All three sides are equal.

2. Two sides are equal and the angle between the two sides is equal.

3. Two angles are the same and a corresponding angle is the same.

4. Two angles are the same and a corresponding angle is the same.

check the template in the picture below.

so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.

[tex]\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}[/tex]

Two independent variables that can affect the cost of the supplies are:

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

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Answer:

You can make either an x|y list or use desmos graphing calculator to help you.

Step-by-step explanation:

x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.

Answer:

First we must distribute the 2.6 to everything inside the ()

The new equation would then be 14.3p-32.24 = 127.92

Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel.

The new equation would then be 14.3p = 160.16

Then you divide each side of the = by 14.3, that way the p becomes isolated. 14.3p/14.3 = 160.16/14.3

Then you're left with p=11.2

Answer:

16-25y^2

Step-by-step explanation:

Hey there!

As you know, both 16 and 25 are perfect squares

All the other answers don't have both numbers as perfect sqaures

Answer:

30 pounds in 480 ounces.

Step-by-step explanation:

16 ounces = 1 pound.

480 ounces divided by 16 = 30 pounds

Answer:

30 pounds. 480 ounces

30 pounds

divide the mass value by 16

The expression is undefined when x=3 or -3

Hope it helps.

Do comment if you have any query.

Answer: The expression is undefined when x is 3 or -3

Step-by-step explanation:

The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.

[tex]9-x^{2} =0\\[/tex]

We want [tex]x^2[/tex] to be positive so divide everything by -1

[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]

Use difference of two squares (DOTS) to factor

[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]

So x cannot be 3 or -3

[tex]y = 6x - 2[/tex]

I believe this is correct

Answer:

please see photo for detailed analysis

Answer:

Ted has 10 books and Omar has 15 books

Step-by-step explanation:

Hey there!

In order to find how many books each of the boys have, we can make a system of equations

First equation: O+T=25

Second equation: O=2T-5

After making the equations, you can use substitution by plugging in 2T-5 For O in the first equation:

2T-5+T=25

Simplify LHS

3T-5=25

Take 5 to the other side

3T=30

Divide by 3 on both sides to get T by itself

T=10

So this means that Ted has 10 books

Now we can plug this into the second equation

*note that you can plug 10 into the first equation too*

O=2(10)-5

Simplify RHS

O=20-5

Combine like terms

O=15

This means that Omar has 15 books

So, Ted has 10 books and Omar has 15 books

Answer:

11.80

Step-by-step explanation:

The $11.80 will be her July finance charge option (c) is correct.

It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.

It is required to find the July finance charge.

It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.

We have a principal amount = $969.26

APR = 14.61 %

Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %

We can calculate the finance charge from the given formula:

Finance charge = Principal value×rate×Time

= 969.29×1.2175%×1

[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]

= $11.80

Thus, the $11.80 will be her July finance charge.

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Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

1/4 or 0.25in

Step-by-step explanation:

If you mean that 3/4 and 1/3 is lenght and width then:

3/4 x 1/3=1/4

1/4=0.25

1/4in^2

Answer:

2408.55 cubic yards

Step-by-step explanation:

use pi times radius squared times height, then divide by 3

Answer:

Step-by-step explanation:

Sum of exterior angles of any Polygon = 360°

23.  x + 65 + 106 + 78 = 360

                    x  + 249   = 360    

{To find the value of x, subtract 249 from both sides}

                               x    = 360 - 249

                                  x = 111°

_________________________________________

24.  x + x + 59 + 48 + 50 + 39 + 58 = 360

                                       2x + 254   = 360

                                                    2x = 360 - 254

                                                    2x = 106

                                                       x = 106 ÷ 2

                                                       x = 53°

____________________________________________

25. 2x + 3x + 44 +85 + 71 = 360

                         5x + 200  = 360

                                    5x  = 360 - 200

                                     5x = 160

                                       x = 160 ÷ 5

                                       x = 32°

_______________________________________________

26.  x+ 2x + 77 + 40 + 45 = 360

                          3x +  162 = 360

                                    3x  = 360 - 162

                                    3x  = 198

                                      x = 198 ÷ 3

                                     x = 66°