If light travel at 3 • 10^8 meters per second. How far can light travel in one minute?

Write your answer in scientific notation.

Answer:

  73/39

Step-by-step explanation:

The slope of the given line is the coefficient of x in the given equation, which we recognize as being in slope-intercept form.

The slope of the perpendicular line will be the opposite reciprocal of this:

  -1/(-39/73) = 73/39 . . . . slope of the perpendicular line

For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.

Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:

Add 5 to both sides to be: 3x < 12.

Then divide both sides by 3: x < 4.

So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.

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Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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Answer:

C=1n

Step-by-step explanation:

So first you look for keywords, the most noticeable one is "total cost." C will be at the end of the equation.

C= ? + ?

Then, each hot dog costs $1 which means no matter how many hot dogs there will be, it will be multiplied by the cost. So, the answer is:

c=1n

Answer:

(0, -4)

Step-by-step explanation:

because the y is the vertical line. (the one that is going up and down)

and it intercepts the blue line at (0, -4)

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

4

Step-by-step explanation:

Im  smart and goatified

Answer:4x^2–3>0

Step-by-step explanation:

Answer:

41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83 , 89, 97, 101, 103, 107, 109 and 113.

Step-by-step explanation:

Prime numbers are those integers that cannot be divisible by any other number that is not 1 or the prime number in question. That is to say that only divided by 1 or by itself the result of the division will be a whole number, which will necessarily be 1 or the same number (depending on whether it is divided by itself or by 1, respectively).

a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

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The height of the ball after the 5th bounce is approximately 0.4746 meters or 47.46 centimeters.

What is called height?

Height, altitude, and elevation mean the vertical distance either between the top and bottom of something or between a base and something above it. height refers to something measured vertically whether high or low.

Each time the ball bounces, it reaches a height of 75% of its previous height.

Since the ball was dropped from a height of 2 meters, its height after the first bounce will be:

2 meters x 0.75 = 1.5 meters

After the second bounce, the height of the ball will be:

1.5 meters x 0.75 = 1.125 meters

After the third bounce, the height of the ball will be:

1.125 meters x 0.75 = 0.84375 meters

After the fourth bounce, the height of the ball will be:

0.84375 meters x 0.75 = 0.6328125 meters

After the fifth bounce, the height of the ball will be:

0.6328125 meters x 0.75 = 0.474609375 meters

Therefore, the height of the ball after the 5th bounce is approximately 0.4746 meters or 47.46 centimeters.

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Answer:

  30.1°

Step-by-step explanation:

You want the acute angle whose sine is 0.5015.

When you know the sine of an angle and want to find the angle, you use the inverse sine, or arcsine, function.

  sin(x) = 0.5015

  x = arcsin(0.5015) ≈ 30.1°

The value of x is about 30.1 degrees.

__

Additional comment

There are an infinite number of angles that have that sine value. Only one of them is a positive angle less than 90°. Be sure your calculator is in degrees mode, if you don't want units of radians or grads. (Spreadsheet functions will give an answer in radians.)

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not

6. The line is gonna be y= 1/3 - 2

Step-by-step explanation:

For 5 just plug in the numbers for x and y.

9514 1404 393

Answer:

  t ≥ 40

Step-by-step explanation:

"No less than" is the same as "greater than or equal to".

  t ≥ 40

Answer:

Okie?

Step-by-step explanation:

Answer:

36 KG

Step-by-step explanation:

This is how I did it:

60 x 0.6 = 36

1 = 100%

0.4 = 40%

but you have to decrease so

100% - 40% = 60%

60% = 0.6

Answer:

10

Step-by-step explanation:

5times 10 is 50

The solution of the simultaneous equation is given by x = (15 + z - 4y )/2

A system of linear algebra (or linear system) is a collection of one or more numerical solutions using the same variables. is a set of three equations with the variables x, y, and z.

The answer to a linear system is to give each variable a value that simultaneously satisfies all of its equations. The solution to the above system is given by the ordered triple that comes after.

Even though the coefficients of equations are typically real or complex figures and the solutions are sought in the same set of numbers, the theory and methods are applicable to coefficients and solutions in any field.

the given equation is 2x + 4y − z = 15

we add z to both sides

2x+4y = 15 +z

we subtract 4y from both sides

2x = 15 +z - 4y

now we divide throughout by 2

x = (15 + z - 4y )/2.

hence the value of x is (15 + z - 4y )/2

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Question:

1. Find the magnitude and the positive direction angle for u.

u = (-12, 5)

For theta degree, round to the nearest tenth as needed.

2. For the vector r = (-9, -10), find -9r.

Answer:

(1)

The magnitude of vector u is 13.

The positive direction of vector u is 157.4° (to the nearest tenth)

(2)

-9r = (81, 90)

Step-by-step explanation:

(1) For a given vector u = (a, b), the magnitude of u is given by;

\(|u| = \sqrt{a^2 + b^2}\)            --------------------(i)

The direction of such vector is given by;

θ = tan ⁻¹ (\(\frac{b}{a}\))                    -------------(ii)

Where;

a and b are the x and y components of the vector.

Now,

From the question,

u = (-12, 5)

(a) From equation (i), the magnitude of u is therefore;

\(|u| = \sqrt{(-12)^2 + (5)^2}\)

\(|u| = \sqrt{144 + 25}\)

\(|u| = \sqrt{169}\)

\(|u| = 14\)

Therefore, the magnitude of vector u is 13.

(b) From equation (ii) the direction of vector u is therefore;

θ = tan ⁻¹ (\(\frac{5}{-12}\))

θ = tan ⁻¹ (-0.41667)

θ = -22.62°

The direction here is negative, but we have been told to find the positive direction.

From the given x and y components of the vector, it can be deduced that the the vector lies in the negative x direction and the positive y direction.

Therefore, the vector lies in the second quadrant. This is shown in the diagram attached to this response.

To get the positive direction, m, we need to add 180° to the result of θ = -22.62° i.e

m = 180° + (-22.62)°

m = 157.38°

Therefore, the positive direction of vector u is 157.4° (to the nearest tenth)

(2) For the vector r = (-9, -10), we are asked to calculate -9r.

Since;

r = (-9, -10)

-9r = -9(-9, -10)    [Multiply by -9]

-9r = (81, 90)

Therefore, -9r = (81, 90)

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

oh um thank you

Step-by-step explanation:

have a great day

Answer:

Thank you so much, but can I get Brainiiest I was first. :)

Step-by-step explanation:

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

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Answer:

Step-by-step explanation:

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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The examples of boating hazard include dams, sun stroke, and bad weakther.

It should be noted that a hazard simply means a source of potential damage that leads to a adverse effect on one's health.

In this case, the common boating hazards that can be witnessed include fast changing weather, sun stroke and current.

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Answer:

Answer down bellow

Step-by-step explanation:

Q's Asked: A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Years of experience Salary

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

---------------------------------------------------------------------------------------------------------

So based on the chart:

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

We can see for each year of experience the "Salary" goes up one thousands constantly. And that makes sense bc as you get used to the work u gradually get better meaning u work better and u also get paid better. ehmm... my bad

----------------------------------------------------------------------------------------------------------

So work side of things based on the chart we see the amount the amount change.  so from

0 to 1 yr

you will be paid $1,150 more.

and from 1 to 2 yrs you will be paid 1110.

and so on.

And btw i got it right on my test !

Pls like and give brainlest

Complete question:

Please find the attached file for task table

Answer:

The minimum cycle time is 50 s

The maximum  cycle time is 50.4 s

Step-by-step explanation:

Given;

production time, t = 7 hours

desired output = demand, D =  500 units

The minimum cycle Time is given by;

Minimum cycle time = maximum task time, from the table the maximum task time is 50 seconds.

Thus, Minimum cycle time = 50 s

The maximum cycle Time is given by;

\(CT = \frac{Production \ time}{D} \\\\CT = \frac{7*3600 s}{500 \ units} \\\\CT = 50.4 \ s\)

Thus, Maximum cycle time = 50.4 s