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Anon25 [30]
2 years ago
13

In 1995, Orlando, Florida, was about 175,000. At the time, the population was growing at a rate of about 2000 per year. Write an

equation in slope-intercept form to find orlando's population for any year
Mathematics
1 answer:
gladu [14]2 years ago
6 0

Answer:

y= 2000 * x + 175000

Step-by-step explanation:

Given is Population is 175,000

Increase in rate = 2000/year

Let x be the population in 1995 which is C= 175,000

y= Population after per year

We know the formula for slope intercept form is

y= mx + C     ............... (i)

Now from the suppose values and given

m= 2000

Now putting values in equation (i) gives

y= 2000 * x + 175000

Here x is the No of years

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The population of the United States is aging, though less rapidly than in other developed countries. Here is a stemplot of the p
Degger [83]

Answer:

Option A. 17.6%

Step-by-step explanation:

Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;

it means that 5 is whole percent and 7 will be written as  \frac{7}{10} = 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.

Now the highest percent of older residents for Florida will be the last stem leaf in the data given as 17 + 0.6 will represent 17.6% which is the highest among all others.

5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.

Therefore option A id correct with 17.6% percent as of Florida.

8 0
3 years ago
What is the measure of angle A in the triangle below?
laiz [17]
The answer is 30.
You need to use sine here
So:
5 0
3 years ago
If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
Dmitry [639]

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

3 0
3 years ago
A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o
Fofino [41]

The answer is  -|0.35 t -14| +14

<u>Step-by-step explanation</u>:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

7 0
3 years ago
Simplify. 14 3/8 - 10 5/8
Aneli [31]

Answer:

When we simplify the problem we get 33/8

6 0
2 years ago
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