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Vikki [24]
2 years ago
5

28. Rewrite the Scientific Notation into expanded form (normal number). 8.675309 x 10

Mathematics
1 answer:
Aleks [24]2 years ago
3 0
86.75309 is the answer
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What is the measure of <6?
wel

Answer: Choice B. 54degrees

Step-by-step explanation:

Angles 1 4 5 8 are equal and angles 2 3 6 7 are also equal. These two sets of angles of supplementary(you‘d get 180 by adding them).

so

13x+9=180-(5x+9)

by simplifying the equation youll get

18x+18=180

x=9

so angle 7(and therefore angle 6) equals

5*9+9=54

6 0
2 years ago
NEED HELP WITH A MATH QUESTION
Lady_Fox [76]

Answer:

\dfrac{18}{5}

Step-by-step explanation:

The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.

Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality

15<5x-3<17

Add 3 to this inequality

15+3<5x-3+3<17+3

18<5x<20

Divide it by 5:

\dfrac{18}{5}

3 0
3 years ago
The image point of A after a translation right 4 units and up 3 units is the point
e-lub [12.9K]

Answer:

(--6,-1)

Step-by-step explanation:

Right 4 units, to go back, left 4 units

Up 3 units, to go back, down 3 unites

Left : -2 - 4  = -6

Down : 2 - 3 = -1

4 0
3 years ago
Which system of equations is represented by the matrix below ​
malfutka [58]

Answer:

Option A.

Step-by-step explanation:

The given matrix is

\left[\left.\begin{matrix}4 & 5\\ 7 & -4\end{matrix}\right|\begin{matrix}-16\\ 23\end{matrix}\right]

We need to find the system of equations which is represented by the matrix.

In the given matrix first row represents the first equation and second row represents the second equation of the system of equations.

Let two variables are x and y.

First column represents the coefficients of x and second column represents the coefficients of y.

Numbers on the right side of the matrix represents the numbers which are right side of the equations.

Now, the required equations are

4x+5y=-16

7x-4y=23

Therefore, the correct option is A.

4 0
2 years ago
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Ke
yaroslaw [1]

Answer:

a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

Step-by-step explanation:

Question a:

The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.

The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So

0.75*0.75 = 0.563

0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.

If it doesn't have a delay, 85% probability of continuing without a delay.

If it has a delay, 75% probability of continuing with a delay.

So, for the long run:

x: current state

85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So

0.85x + 0.25(1 - x) = x

0.6x + 0.25 = x

0.4x = 0.25

x = \frac{0.25}{0.4}

x = 0.625

0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

5 0
2 years ago
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