light travels 3 x 10^5 kilometers in one second. how far does it travel in 7.6 seconds?

Given that,

The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. We need to find the average rate at which the water level changed every week. It is a problem based on the concept of ratio. So,

[tex]R=\dfrac{1\dfrac{2}{3}}{3\dfrac{1}{3}}\\\\=\dfrac{\dfrac{5}{3}}{\dfrac{10}{3}}\\\\=\dfrac{5}{3}\times \dfrac{3}{10}\\\\=\dfrac{1}{2}[/tex]

So, the average rate at which the water level changed every week is 1/2 inches/week.

Answer:

5.6

Step-by-step explanation:

You most likely will end up putting it in slope form y=mx+b

(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms

(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m

2y-2y= 0

18.4 - 15.6= 2.8

34.8m -0 = 34.8m

2.8 + 34.8m ( I think we should further simplify)

so minus 2.8 on both sides

34.8m = -2.8(divide by 34.8 on both sides)

m = -7/87

Plug in

(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms

(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms

(18.4)-(12.8)= 5.6

2y-2y = 0

34.8(-7/87)= -2.8

18.4 - 12.8 = 5.6

Answer:

the anwer is 5*6

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Answer:

вы молодец и увас всё получилось

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let X denote the thickness of the part manufactured by plastic injection molding.

Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.

Compute the probability of thickness exceeding 101 as follows:

[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]

                    [tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]

Thus, the probability of thickness exceeding 101 is 0.4483.

Answer:

[tex]x_{1} + 3x_{2} + x_{3} = 0\\[/tex]

X = [tex]\left[\begin{array}{ccc}x_{1}\\x_{2}\\x_{3}\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5x_{3}\\-2x_{3}\\x_{3}\end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}5\\-2\\1\end{array}\right][/tex]

Step-by-step explanation:

Parametric vector form is the set of equation which form a line. The parametric equation is set and the vector matrix is formed based on the given equation. The solution set of x is found by equating the 0. It express a set of explicit independent variables.

Answer:

Possibilities are endless. It's impossible to divide by 0.

Your number can't be 0.

Step-by-step explanation:

^^^

how are we supposed to make a line plot

Answer:

Step-by-step explanation:

Hope this helps! <3

Answer:   Number 5 is 60%

Step-by-step explanation:

Answer:

[tex]\theta = 14.1\ degrees[/tex]

[tex]846\ minutes[/tex]

Step-by-step explanation:

Given

[tex]csc(\theta) = 4.1191[/tex]

Required

Solve for [tex]\theta[/tex]

[tex]csc(\theta) = 4.1191[/tex]

[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]

So, we have:

[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]

Invert both sides

[tex]sin(\theta) = \frac{1}{4.1191}[/tex]

[tex]sin(\theta) = 0.2428[/tex]

Take [tex]sin^{-1}[/tex] of both sides

[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]

[tex]\theta = sin^{-1}0.2428[/tex]

[tex]\theta = 14.0518577574[/tex]

[tex]\theta = 14.1\ degrees[/tex] --- approximated

Convert to minutes:

[tex]1\ degree = 60\ minutes[/tex]

So:

[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]

[tex]14.1\ degrees = 846\ minutes[/tex]

Answer:

-8z +724 + 5y +2c

Step-by-step explanation:

Combine like terms

Answer:

I am going with B.1,3,9,27

Step-by-step explanation:

A,C and D the patterns are from addition ie. A +8, C+3 and D +1 but B it's ×3

Answer:

8.5

Step-by-step explanation:

Answer:

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25

(-5y = -25x - 2x)-1

5y = 25/5 +2x/5

y = (2/5)x + 5

Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5

The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).

Step-by-step explanation:

Answer:

y-7/ 12y+3

Step-by-step explanation:

whats the formula?

Step-by-step explanation:

Answer:

The least number of spoons = 11 spoons

The least number of forks = 6 forks

Step-by-step explanation:

We are told in the question:

Spoons only come in bags of 12

Forks only come in bags of 22.

This is an LCM question, hence, we find the Multiples of 12 and 22

The first common multiple is found and this is the lowest common multiple.

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176

Therefore,

LCM(12, 22) = 132

The least number of supplies she can have is 132.

So therefore,

The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons

The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.

Answer:

1. d

2. b

3. a

Step-by-step explanation:

1. d => "my graph is non-proportional with a negative y-intercept."

Rationale: it is non-proportional because it does not pass through the point of origin, (0, 0). And also, the line intercepts the y-axis at a point where the value of y is below the point of origin, 0. That gives us a negative y-intercept value.

2. b => "My graph is proportional with a negative slope."

Rationale: it is proportional because the straight line cuts through the point of origin, (0, 0). And also, the line slants downward from left to the right, thus, such downward slope gives us a negative slope value.

3. a => "My graph is non-proportional with a positive slope".

Rationale: it is does not cut across the point of origin, and also the slope slants upward from left to the right. Therefore, it is a non-proportional graph with a positive slope.

Answer:

B

Step-by-step explanation:

Answer:

b) B,A,C

Step-by-step explanation:

Answer:

260.1

Step-by-step explanation:15% of 306=45.9

306-45.9=260.1

Answer:

351.9

Step-by-step explanation:

x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.

I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.

Then I added the price it was sold..=306+45.9=351.9

Answer: -5 5/6

Step-by-step explanation:

Convert each number into. 1 2/3 = 5/3 (1=3/3, so 3/3 + 2/3) and -3 1/2 = - 7/2

Then multiply the numbers

5/3 x -7/2 = -35/6 (5x7= 35 and 3x2= 6, negative because a negative times a positive is a negative)

Then simplify....6 goes into 35 5 times with 5 remaining, so -35/6 = -5 5/6

Answer:

The best thing to use is Desmos the graphing calculator then just take a screenshot.

Step-by-step explanation:

Hope this helps and have a great day!

Answer:

30mph

Step-by-step explanation:

The magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex] and this can be determined by using the equation of kinematics.

Given :

According to the kinematics:

[tex]\rm v = u + at[/tex]     --- (1)

where v is the final speed, u is the initial speed, a is the acceleration and t is time.

Now, put the known terms in equation (1).

0 = 7 + at

at = -7  

[tex]\rm t = -\dfrac{7}{a}[/tex]      --- (2)

From the kinematics the displacement is given by the equation:

[tex]\rm S =ut+\dfrac{1}{2}at^2[/tex]

Now, put the values of u, S, and t in the above equation.

[tex]10=7\times \dfrac{-7}{a}+\dfrac{1}{2}\times a \times \dfrac{49}{a^2}[/tex]

Now, simplify the above equation.

[tex]10=-\dfrac{49}{a}+\dfrac{49}{2a}[/tex]

20a = -49

a = -2.45

So, the magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex].

For more information, refer to the link given below:

https://brainly.com/question/7590385

Answer:

A bisector  or angle

Step-by-step explanation:

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

Answer:

i think it's the second one

Step-by-step explanation:

i am not sure if it is correct or not. i hope it helps!

Answer:

-1.5

Step-by-step explanation:

Converting to grams:

Converting these values to grams will make them easier to subtract

3 kg 924 grams OR 3.924 kg  = 3924 grams

1kg 893 grams OR 1.893 kg = 1893 grams

Subtracting:

Now that we have the values in grams, we will put them in their initial order and subtract them

3924 - 1893 = 2031 grams = 2.031 kg  OR  2 kg 31 grams