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Paul [167]
2 years ago
14

Write an exponential decay function to model the situation. Compare the average rates of change over the given intervals.

Mathematics
1 answer:
Firlakuza [10]2 years ago
6 0
The exponential decay function could be the model of the situation comparing what I said do not utilize because the user is trying to acoses the points
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For his job at the hardware store, Michael distributes 2,345 packages of screws into 5 equal groups for shipping. How many packa
drek231 [11]

\\
\text{Michael distrinutes  2345 packages of screws into 5 equal groups for shipping.}\\
\\
\text{we need to find the number of packages of screws in each group.}\\
\\
\text{so for this we use the unitary method.}\\
\\
\text{The number of packages of screws in 5 groups}=2345\\
\\
\text{so the number of packages of screws in 1 group}=\frac{2345}{5}\\
\\
=469

Hence the number of packages of screws in each shipping box is: 469

Hence option (B) is correct.

6 0
3 years ago
Is (2,2) a solution to this system of equations? x + 2y = 6 3x + 4y = 14
babymother [125]

Answer:

No

Step-by-step explanation:

(2,2) isn't but  (6 1/2, -2) is because that is where they intercept

5 0
3 years ago
Sound policy requires that a certain number of trees be planted for every tree that is cut down for example of 8 trees are cut d
Nimfa-mama [501]

Answer:

30 trees

Step-by-step explanation:

Given the policy:

8 trees are cut down 48 trees will be planted

If homeowner is going to cut down five trees on his property how many trees will be planted

Since :

8 trees cut down = 48 planted

5 trees cut down = X

Cross multiply :

8 * X = 48 * 5

8X = 240

X = 240/8

X = 30

Hence, 30 trees will need to be planted

4 0
3 years ago
3. The product of and<br>29<br>-26<br>3<br>is ...​
eimsori [14]

Answer:

(29-26) * 3 = 9

Step-by-step explanation:

7 0
3 years ago
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)

So, 2x=-4\lambda

\Rightarrow x=-2\lambda

2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda

Substitute the value of x , y and z in the ellipsoid equation

(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2

With \lambda = 2

x=-2(2)=-4

y=2

z=2

With\lambda =- 2

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0
3 years ago
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