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taurus [48]
4 years ago
6

4x + 1/3y^2

Mathematics
1 answer:
Romashka-Z-Leto [24]4 years ago
4 0
1.) Plug x and y to the formula:

4(2) + 1/3(3)^2

2.) Simplify

8 + 1/3(9)

= 8 + 3

= 11


Hope this helped!!!
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Given the data shown below, which of the following is the best prediction for
Soloha48 [4]

Answer:

The best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

Step-by-step explanation:

Year     Population

1              11,920

2              16,800

3              23,300

4              33,000

5             45,750

6             64,000

y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)

Substitute the values

11920=A _0 e ^{k}  ---1\\16800 = A_0 e^{2k} ---2

Divide 1 and 2

\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238

The exponential function that passes through the points (1, 11920) and (2, 16800) isy=8457.5238 e^{0.3432t}

Now we are supposed to find  the best prediction for  the number of years it will take for the population to reach 200,000

200000=8457.5238 e^{0.3432t}

\frac{200000}{8457.5238}=e^{0.3432t}

ln(\frac{200000}{8457.5238})=0.3432t

t = 9.41

Hence the best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

6 0
4 years ago
You move down 2 units and left 6 units. You end at (-1, -4). Where did you start?
Harman [31]

Answer:

(5, -2)

Step-by-step explanation:

You have to reverse it.

Up 2 units and right 6 units gets you to your original position.

8 0
3 years ago
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List 3 ways you can use an answer key effectively
kondaur [170]

practise new problem

check your answers

share

3 0
3 years ago
Use properties an mental math this problem to solve 275+180+120=
aliina [53]
275+180+120=575 or <span>275+180+120=120+180+250 (commutitative property of addition)</span>
3 0
3 years ago
Read 2 more answers
Please help with this linear algebra question!!
Svetach [21]

Answer:

10.92

Step-by-step explanation:

1. Find all side lengths of this tetrahedron.

A to B is 2 units

A to C is 2 units

A to D is 2 units

B to C is square root of 8

B to D is square root of 8

C to D is square root of 8

See 3D distance formula attached below to get the answers above.

2. Find the area of the triangles

Triangle ACD can be calculated using Heron’s formula, which is also attached below.

Area of Triangle ACD is 2 units squared.

Area of Triangle ABD is congruent to the previous one so it is also 2 units squared.

Area of Triangle CBD is roughly 3.46 units squared.

Area of Triangle ABC is congruent to Triangle CBD so it is also 3.46 units squared.

Adding them altogether is 2 + 2 + 3.46 + 3.46 = 10.92

3 0
2 years ago
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