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REY [17]
3 years ago
5

What is the scientific notation of 8,150,000

Mathematics
2 answers:
Bess [88]3 years ago
3 0
The scientific notation of this number would be 81500000e-1
denpristay [2]3 years ago
3 0
<span>Answer: 8150000=8.15⋅<span>106</span></span>
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What is the parent equation for exponential growth and decay?
Archy [21]

Answer:

A = P x r^t

Step-by-step explanation:

A = Amount (e.g. number of organisms in population after certain period of time)

P = Principal/ Initial Value (e.g. the starting population)

r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)

t = time in whichever units you need.

Example of problem using formula:

A population of 2000 decreases by 20% every year, find the population size after 5 years.

A = ?

P = 2000

r = 0.8

t = 5

A = Pxr^t

A = 2000 x 0.8^5

A = 655.36

Hope this helped!

3 0
3 years ago
Read 2 more answers
Which description means the same as the limit expression? (Image attached)
Rashid [163]

Answer:

B. The graph rises on the left side.

Step-by-step explanation:

The limit provided on the image is interpreted as; The limit of the function f(x) as x approaches negative infinity is infinity.

X is approaching negative infinity, this means that along the x-axis we are moving towards the left where the values of x become increasingly negative.

On the other hand, f(x) is approaching positive infinity, meaning that along the y-axis we are moving upwards where the values of y become increasingly positive.

This typically implies that as we move towards the left the graph of f(x) is moving upwards or basically the graph rises on the left side.

3 0
3 years ago
Use lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 2, 5).
horsena [70]
Lagrangian:

L(x,y,z,\lambda)=x^2+(y-2)^2+(z-5)^2+\lambda(x-2y+3z-6)

where the function we want to minimize is actually \sqrt{x^2+(y-2)^2+(z-5)^2}, but it's easy to see that \sqrt{f(\mathbf x)} and f(\mathbf x) have critical points at the same vector \mathbf x.

Derivatives of the Lagrangian set equal to zero:

L_x=2x+\lambda=0\implies x=-\dfrac\lambda2
L_y=2(y-2)-2\lambda=0\implies y=2+\lambda
L_z=2(z-5)+3\lambda=0\implies z=5-\dfrac{3\lambda}2
L_\lambda=x-2y+3z-6=0

Substituting the first three equations into the fourth gives

-\dfrac\lambda2-2(2+\lambda)+3\left(5-\dfrac{3\lambda}2\right)=6
11-7\lambda=6\implies \lambda=\dfrac57

Solving for x,y,z, we get a single critical point at \left(-\dfrac5{14},\dfrac{19}7,\dfrac{55}{14}\right), which in turn gives the least distance between the plane and (0, 2, 5) of \dfrac5{\sqrt{14}}.
7 0
4 years ago
An instructor was interested in seeing if there was a difference in the average amount of time that men and women anticipate stu
Usimov [2.4K]

Answer:

.Option A

Step-by-step explanation:

Given that an instructor was interested in seeing if there was a difference in the average amount of time that men and women anticipate studying for an Introduction to Statistics course in the summer.

Minitab results are

Difference = mu (F) - mu (M)\\T-Test of difference = 0 (vs not =): T-Value = 0.23 \\P-Value = 0.817 \\DF = 46

Since p value >0.05 our alpha significant level we accept null hypothesis that

difference in means =0

With a p-value of 0.817, that there is no statistically significant evidence of a difference in average anticipated amount of time studying between the men and women

.Option A

5 0
4 years ago
Stephanie had 7/8 pounds of birs seed .sh used 3/8to fill the bird feeder how much bird seed does she have left
WITCHER [35]
The image I included should help you solve the problem

4 0
3 years ago
Read 2 more answers
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