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cupoosta [38]
3 years ago
10

The city of Smyrna has a flea population that has been doubling every year. If there are about 100,200 fleas this year, how many

will there be 3 years from now? Indicate the step where a variable is defined, the equation used to solve, and the final answer.
Mathematics
2 answers:
Bad White [126]3 years ago
7 0
The equation for this is 100,200(2)^n   where n is the number of years

so in 3 years the population will be  100,200(2)^3 = 801,600
slamgirl [31]3 years ago
4 0

Answer:

100,200(2)^3 = 801,600

Step-by-step explanation:

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A rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATE
Inessa05 [86]
Using a Graph we can determine the greatest area the rectangle can have using the midpoint between the two w-intercepts.

7 0
2 years ago
Proving trapezoid theorems Geometry
Artist 52 [7]

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

\overline {BD} \cong \overline {CA} by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement {}                   Reason

ABCD is a trapezoid {}  Given

\overline {BA} \cong \overline {CD}  {}                   Given

\overline {BC} \parallel \overline {AD}   {}                   Definition of a trapezoid

ABCD is an isosceles trapezoid  {}    Left and right leg are equal

∠BAD ≅ ∠CDA  {}          Base angle of an isosceles trapezoid are congruent

\overline {AD} \cong \overline {AD}   {}                  Reflexive property

ΔABD ≅ ΔACD   {}         By SAS rule of congruency

\overline {BD} \cong \overline {CA}   {}                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

8 0
2 years ago
Read 2 more answers
Two airplanes are flying in the air at the same height. Airplane A is flying east at 300mi/h and airplane B is flying north at 2
Ipatiy [6.2K]

Answer:

\frac{dAB}{dt}=340 mil/h

Step-by-step explanation:

The change of distance over time of the plain A is 300 mi/hour and 200 mi/hour for plane B. O is the point of the airport.

So, the distance from A to O AO = 90 miles and BO = 120 miles.

Now, we have a right triangle here.  We can use the Pythagorean theorem, so the distance between the planes will be:

AB^{2} =AO^{2}+BO^{2} (1)

AB =\sqrt{AO^{2}+BO^{2}}=

AB =\sqrt{90^{2}+120^{2}}=150 miles

If we take the derivative of the equation (1) we could find the change of the distance between planes.

2AB\frac{dAB}{dt}=2AO\frac{dAO}{dt}+2BO\frac{dBO}{dt}

2*150\frac{dAB}{dt}=2*90*300+2*120*200=102000 mil/h

\frac{dAB}{dt}=\frac{102000}{150*2}

Finally,

\frac{dAB}{dt}=340 mil/h

I hope it helps you!

6 0
2 years ago
Tracy needs to find the length and width of the equiptment storage room where she works. the room is 2 meters long than it is wi
ElenaW [278]
Rectangle:
P = 2 (L+W) but length is 2 meters longer than wide
then L = W + 2, So
P = 2 (L + W)
24 = 2(W+2+W)
24 = 2 (2 + 2W)
24 = 4 + 4W
So 4W = 24 -4 =20
W = 20/4= 5, L = 5+2= 7

Double check
24 = 2*(5+7) = 2 *12 = 24
4 0
2 years ago
Read 2 more answers
PLZZZZ HELP <br> A. 178.3<br> B. 196.5 <br> C. 250.8<br> D. 292.5<br> E. 297. 1
stepladder [879]

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

8 0
2 years ago
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