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s344n2d4d5 [400]
3 years ago
9

The poplution of Las vegas, Nevada has been increasing at an annual rate of 7.0%. If the poplution of las vegas was 478,434 in t

he year 1999, predict its population in 2010.
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0
Where x is years after 1999, the population is predicted to be ...
  p(x) = 478,434*1.07^x

For x=11, this is
  p(11) = 478,434*1.07^11 ≈ 1,007,033

The relation predicts the Las Vegas population in 2010 to be 1,007,033.
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Does the point (4, 0) satisfy the equation y = –5x + 4?
Arlecino [84]

Answer:

no

Step-by-step explanation:

y = –5x + 4

Substitute the point into the equation

0 = -5(4) +4

0 = -20+4

0 = -16

This is not true so it is not a solution to the equation

4 0
3 years ago
Read 2 more answers
In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.
Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

  • <ABD = <BDH = 38°
  • <DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

#SPJ1

4 0
2 years ago
Express the area of the entire rectangle.
Cloud [144]

Answer:

\huge\boxed{A=x^2+12x+35}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

We have

l=x+7\\\\w=x+5

Substitute:

A=(x+7)(x+5)

Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>

<em></em>A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35<em></em>

combine like terms

A=x^2+(5x+7x)+35\\\\A=x^2+12x+35

7 0
2 years ago
What is 3 minus the exponet of 5
xz_007 [3.2K]

I'm going to assume you mean 3 to the power negative 5.

3^-5

Use rule [ x^-y = 1/x^y ]

3^-5 = 1/3^5 = 1/243

Best of Luck!

4 0
3 years ago
Read 2 more answers
A line is shown in the graph below.
Kay [80]

Answer:

-3/2

Step-by-step explanation:

One can read off the slope of the given line directly from the graph.  As x increases by 3, y increases by 2.  Thus, the slope of the given line is

m = rise / run = 2 / 3

Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:

                                                      -1              3

Slope of perpendicular line = ------------ = - -----

                                                     2/3             2

This matches the first of the given possible answer choices.

5 0
2 years ago
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