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Romashka [77]
3 years ago
12

Helppp ASAAPPPP WILL MARK AS BRAINLIST

Mathematics
1 answer:
Talja [164]3 years ago
8 0
<h2>GOOD LUCK ON SOLVING THAT KIDDO! </h2>

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Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th
BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let t=0 represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

F(t)=102,390(1-0.15)^t

F(t)=102,390(0.85)^t

To find number of cases in 2020, we will substitute t=10 in our decay function as:

F(10)=102,390(0.85)^{10}

F(10)=102,390(0.1968744043407227)

F(10)=20,157.970260446597\approx 20,158

Therefore, 20,158 cases  will be reported in 2020.

3 0
3 years ago
Please help?
Mazyrski [523]

Answer:

23\sqrt{3}\ un^2

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\

2. Note that

A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0
3 years ago
If a cube has a side length of 4 1/2 cm, what is one way to write the volume of the cube?
atroni [7]

For this case we have that by definition, the volume of a cube is given by: V = s ^ 3

Where,

  • <em>s: Side of the cube </em>

We have that the cube side is given by:

s = 4 \frac {1} {2} cm

Therefore, replacing values we have:

V = (4 \frac {1} {2}) ^ 3 cm ^ 3

Answer:

One way to write the volume of the cube is:

V = (4 \frac {1} {2}) ^ 3 cm ^ 3

3 0
3 years ago
Read 2 more answers
Find the area of the given trapezoid.
tatyana61 [14]

Answer:

40 inches

Step-by-step explanation:

To find the area of a trapezoid, you have to multiply the longest base (10 inches in this case) by the highth (i can't spell lol) (the highth is 4 inches in this case). So, A= Bh Area=10*4 Area =40 inches.

7 0
3 years ago
6pi= M over 360, 2 times pi times 18
Lelu [443]
\dfrac{M}{360}\cdot2\pi\cdot18=6\pi\ \ \ \ |:\pi\\\\\dfrac{M}{360}\cdot36=6\\\\\dfrac{M}{10}=6\ \ \ \ |\cdot10\\\\\boxed{M=60}
7 0
3 years ago
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