. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What population does your function project at the end of 37 years?

Answer:

2 Large doors

Step-by-step explanation:

Step 1

We convert 10 feet to inches

1 foot = 12 inches

10 feet = x

Cross Multiply

x = 10 × 12 inches

x = 120 inches

Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets.

The length of Large doors = 2.7 × 19.5 inches

= 52.65 inches

Hence, the number of large doors can be cut from a board that is 10 feet long(120 inches long) is

= 120 inches/52.65 inches

= 2.2792022792 doors

Approximately = 2.3 doors

However, the number as to be in whole number, hence, only 2 Large doors can be cut from a board that is 10 feet long(120 inches long)

Answer:

(-2, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-x - 2y = 2

4x - 2y = -8

Step 2: Rewrite Systems

-x - 2y = 2

Step 3: Redefine Systems

x + 2y = -2

4x - 2y = -8

Step 4: Solve for x

Elimination

Step 5: Solve for y

Greetings again.

The answer is (-2,0)

Explanation:

This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)

But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.

And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.

We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.

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

Multiply -1 in whole equation.

[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]

Remind that negative multiply/distribute in negative equal positive always.

And x + 2y = -2 is your new equation from the first equation.

[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]

This is our new equations. Then we are able to eliminate y-term.

[tex]5x=-10\\x=-2[/tex]

In case if you forget again, we can simply add/subtract vertically.

x+4x = 5x

2y-2y = 0

-2-8 = -10

That's how we get 5x=-10 and thus x = -2.

We already get x-value, and you know that we need to find the y-value too.

Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.

I'll substitute in -x-2y=2

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

Substitute x = -2 in the equation.

[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]

Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)

Answer:

-249.6

Step-by-step explanation:

Convert 2/5 to 0.4. Then subtract 0.4 and 250 to get -249.6

Hope this helped! :)

Answer:

1/50

Step-by-step explanation:

Hope this helped have a nice day!

Answer:

DF=3.75

Step-by-step explanation:

24/6=15/x

cross multiply to get 24x=90

x=3.75

The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

All the given information is shown in the figure attached.

Since the two triangles are congruent the ratio of their sides is equal,

BC / EF = AC / EF

Suppose the length of side DF is x.

20/DF=24 /6

20/x = 24 / 6

x = 20 / 4

x=5

DF = 5 units

Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

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Answer:

she didn't make a mistake.Her answer is correct

Answer:

Step-by-step explanation:

7889

Answer:

Cost price = Rs. 280

Other expenses = Rs. 20

Total Cost =280+20=300

Selling Price = Rs. 337.50

Profit =337.50−300=37.50

Profit %= 37.5/300*100=12.5%

​

×100=12.5%

Step-by-step explanation:

Answerit is the 2nd one i think

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Answer:

y=25x+50

Step-by-step explanation:

She has to pay a fee of 50 and then 25 a month. X represents months since we don't know how many months she plans to have a membership.

Answer:

m= 15 b=25

Step-by-step explanation:

the slope is 15 because thta is the unit rate and the missing point that isnt shown is (0,25)

Answer:

226.08 in^2

Step-by-step explanation:

The formula for area of a circle is pi*r^2

3^2 = 9

9*3.14 = 28.26

The formula for volume of a cylinder  is surface area times height

28.26*8=226.08

Answer:

the answer is 250

Step-by-step explanation:

Answer:

10.036

Step-by-step explanation:

Remark

Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).

At the point (0,50) draw a horizontal line to (200,50)

Join the point (200,50) to (0,0)

What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.

That angle is the same as the angle of elevation.

The horizontal line is 200 feet.

The vertical line is 50 feet

Formula

Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25

Solution

tan-1(0.25) = 14.036

Conclusion

The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation.  so the angle you found and the angle of elevation are the 2 angles defined by the z.

Answer:

the first empty box is: $25

the third epty box is: $75

the forth empty box is: $200

Step-by-step explanation:

0.5 = $25

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

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Answer:

x=6

Step-by-step explanation:

The value of x is 6.

"It is the line or line segment that divides the angle into two equal parts."

"The point at which the internal angle bisectors of the triangle intersects."

For given example,

AT and BT are angle bisectors of angles A and B respectively.

And T is the incenter.

⇒ TU = TV

⇒ 5x - 24 = 3x - 12

⇒ 5x - 3x - 24 = 3x - 12 -3x

⇒ 2x - 24 + 24 = - 12 + 24

⇒ 2x = 12

⇒ x = 6

Therefore, the value of x is 6.

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I think the answer would have to be D. If the diameter, which is the distance from one point on the circle through the center to another point on the circle, is halved then the amount of concrete that will be needed will be multiplied by 4. I think that's right I am so sorry in advance if that was incorrect. Have a beautiful rest of your day. Stay safe. C O V I D - 1 9 IS REAL THIS COULD MEAN YOUR LIFE!!!

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

Answer: x = 5; y = -5

[tex]\left \{ {{-7x-3y=-20} \atop {3x+6y=-15}} \right. \\\\<=>\left \{ {{-7x-3y=-20} \atop {x+2y=-5}} \right. \\\\<=>\left \{ {{-7(-5-2y)-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{35+14y-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{11y=-55} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{y=-5} \atop {x=5}} \right.[/tex]

Step-by-step explanation:

Answer:

x=5

y=-5

Step-by-step explanation:

Answer:

Hope it can help you... .

If u understand my answer, you can mark me as a brainlist.....

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor the first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (3x - 4)(x + 3) ← in factored form

i only know the sceond on and its 100

Answer:

Well, I'm not the smartest person, nor do I exactly know what you mean, but I have a wild guess that the least you could rotate it is 100 degrees.

Step-by-step explanation:

Considering the fact that it's sides are all equal, you could compare this to a square, which also has equal sides. Its angles are equal, too, so you could measure it's angles (100 degrees) and turn it that exact amount,

I hope this helps you, like I said, I don't exactly know what you are talking about, I am not studying that sort of thing yet.

Answer:

1/6(1x+1)

Step-by-step explanation:

Answer: 1/12 ml

Step-by-step explanation:

The rate of change is 1/12 ml / °C.

The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

We have graph which shows change in the volume of the gas sample with respect to the temperature.

So, the rate of change is

= (30- 21.5)/ (100- 0)

= 8.5/100

= 85/1000

≈ 1/12 ml / °C

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Answer:

208.8 inches is the answer

Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2

Prisms are tridimensional elements whose volume is equal to the product of area of its base, in square inches, and its height, in inches. The base of the shape is certainly a rectangle, whose area is equal to the product of its width and length, both in inches.

Therefore, the volume of shape is:

V = (12 in) · (5.8 in) · (3 in)

V = 208.8 in³

Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2

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Step-by-step explanation:

20.6 feet

hope it helps !

Answer:

c

Step-by-step explanation: