light travels about 186,000 mi / s. The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 36 s?

Harold's total payment is  $5,841.50.

Percentage is the  fraction of a quantity that is expressed as a number out of hundred. The sign used to represent percentages is %. Percentages are a measure of frequency.

The total bill Harold would pay is the sum of the first $550, 25% of the remaining bill, 12% of the fee for prescription medications and the late payment fee since she paid after September 30.

Amount of total bill that Harold would pay = (100 - 75)% x (20,500 - 550)

25% x 19,950 = $4,987.50

Amount of the  prescription medications Harold pays : 12% x 450 = $54

Total bill - $550 + $4,987.50 + $54 + $250 = $5,841.50

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Answer:

The answer is C. 5π > 15

Step-by-step explanation:

5π = 15.7

15.7 is greater than 15

The number of minutes to take for the light to travel from the sun to the earth is 7.93×[tex]10^{1}[/tex] minutes.

The distance between the earth and sun=9.52×[tex]10^{7}[/tex] miles

The speed of the light from sun=1.2×[tex]10^{6}[/tex] miles per minutes

Speed=Distance/Time

Time= Distance/Speed

Substitute the values in the equation

Time taken for the light to travel from the sun to the earth = The distance between the earth and sun ÷ The speed of the light from sun

Substitute the values in the equation

=9.52×[tex]10^{7}[/tex]÷ 1.2×[tex]10^{6}[/tex]

=(9.52÷1.2)×[tex]10^{7-6}[/tex]

=7.93×[tex]10^{1}[/tex] minutes

Hence, the time taken for the light to travel from the sun to the earth is 7.93×[tex]10^{1}[/tex] minutes

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Answer:

It will be (x=1.y=6.z=-6

Answer:

Choice b

(x = 1,  y = 6, z = -6)  

Step-by-step explanation:

The system of equations is

3x + 4y  + 3z = 9     (1)
3x + 3y +  3z =  3      (2)

2x + 4y + 3z =  8      (3)

Subtract (2) from (1) to eliminate the 3x and 3y terms and solve for y

(1) - (2)

==> 3x + 4y  + 3z - (3x + 3y +3z) = 9 - 3

==> 3x + 4y + 3z - 3x - 3y - 3z = 6

(3x-3x) + (4y-3y) + (3z-3z) = 6

4y - 3y = 6

y = 6

Subtract (3) from (1) to isolate the x term

(3x - 2x) + (4y-4y) + (3z-3z) = 9 -8

x = 1

Divide equation (2) on both sides by 32 to eliminate the coefficients

Equation (2) ÷ 3

==> (3x + 3y + 3z) / 2 = 3/3

==> x + y + z = 1    (4)

Substitute the values of x and y in Equation (4)

1 + 6 + z = 1

7 + z = 1

Subtract 7 from both sides

==> z = 1-7 = 6

Answer:
(x = 1,  y = 6, z = -6)

Answer: How in the world would anybody answer this

Step-by-step explanation: I don't know!

Answer:

C

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

3n just means 3 × n

To actually solve the equation, the value of n would have to be given.

In some equations, you would have to solve for n and then answer the equation, but that's not possible with this one.

The total weight of the envelop after n paper clips have been added is w(n) = 0.5n + 6.75

An equation is an expression that shows the relationship between two or more numbers and variables.

Let w(n) represent the total weight of the envelop with n paper clips. A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams. Hence:

w(n) = 0.5n + 6.75

The total weight of the envelop after n paper clips have been added is w(n) = 0.5n + 6.75

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Answer:

When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°. So, if our given angle is 33°, then its reference angle is also 33°.

When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle. So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°.

When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.

When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle. So, if our given angle is 332°, then its reference angle is 360° – 332° = 28°.

Answer:

13.68

Step-by-step explanation:

72 * 0.19 = 13.68

19% can be converted to 19/100 or .19 to change out of a percentage. .19 is the multiplied by 72 to find 19% of 72.

For example

a fourth of something is the same as 25%.

if you want to find 1/4 of 8 you would multiply 8 by 1/4.

It is a similar concept with percentages.

Answer:

602.88 cubic inches

Step-by-step explanation:

Volume of cylinder = pi ×r^2×height

=3.14×4^2×12

=3.14×16×12

=602.88

The maximum distance Jameel can travel is 11.5 miles

The equation that determines the distance is given as

2 + 0.4(4m - 1) = 20

Subtract 2 from both sides of the equation

So, we have

0.4(4m - 1) = 20 -2

Evaluate the like terms

So, we have

0.4(4m - 1) = 18

Divide both sides by 0.4

So, we have

(4m - 1) = 18/0.4

Evaluate the quotients

So, we have

(4m - 1) = 45

Remove the bracket

So, we have

4m - 1 = 45

Add 1 to both sides of the equation

4m = 46

Divide both sides of the equation by 4

So, we have

x = 11.5

Hence, the maximum distance Jameel can travel is 11.5miles

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The probability of picking a dime and then a penny without replacement is  0.0651.

Probability is used to determine the odds that a random event would happen. The probability the event happens is 1 and the probability that the event does not happen is 0.

The more likely the event is to occur, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability of picking a dime and then a penny without replacement = (number of dimes / total number of coins) x (number of pennies / total number of coins - 1)

(19 / 73) x (18 / 72) = 0.0651

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Answer:

Quadrant 1

Step-by-step explanation:

The area of a square is the square of the length of a side is a^2.

The quantity of space occupied within the square can be used to calculate the size of a square using mathematics. We'll go over the equation for calculating the square's area below. It is mainly known for its geometric quadrilaterals. The simplest definition of a square is a regular polygon with four equal sides. A square has all the same facts and characteristics as regular polygons.

The number of square units that are anticipated to fill a square is used to describe the area of a square. The area is typically defined as the area included by the confines of a level article or 2D figure.

Mathematical Area of Square Formula = a×a=a^2.

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Answer:

$70

Step-by-step explanation:

$70 was collected on the second day of the month.

Answer:

1st one

Step-by-step explanation:

My mom is a teacher lol

Answer: (4m+n)(4m-n)

Step-by-step explanation:

16m² -n²=

(4m)²-n²=

(4m)²+4mn-4mn-n²=

4m(4m+n)-n(4m+n)=(4m+n)(4m-n)

Answer:

[tex] = { \tt{16m {}^{2} - {n}^{2} }} \\ { \tt{ = {4}^{2} {m}^{2} - {n}^{2} }} \\ { \tt{ = (4m - n)(4m + n)}}[/tex]

The feet of rope that Larry has left will be 29 feet.

Total number of feet of the rope = 63 feet

Feet that were used = 15.56 + 18.13 = 16 + 18 = 34 feet

Therefore, the feet of rope that Larry has left will be:

= 63 - 34

= 29

Therefore, the feet of rope that Larry has left will be 29 feet.

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Answer: 29 feet

Step-by-step explanation:

[tex]scale \: from \: b \: to \: a = \frac{3}{2} \\ x = \frac{2}{3} \times 10.5 = 7[/tex]

Answer:

9,246,073,189

Step-by-step explanation:

Answer:

9,246,793,189

Step-by-step explanation:

its 9 billion which have nine zeros in behind

and others do it by yourself

Answer:-

Step-by-step explanation:

Step 1 1.2r = 0.6r-3

Step 2 .6r = -3

Step 3 -3 divided by .6 = -5

Answer: -5

The slope of line gh is [tex]\frac{-9}{7}[/tex] .

We have given two points G(-2,6) and H(5,-3) .

Putting [tex]x_1=-2,y_1=6[/tex] and [tex]x_2=-5 ,y_2=-3[/tex] in equation (1) , we get

          [tex]m=\frac{-3-6}{5-(-2)} \\\\m=\frac{-9}{5+2}\\\\m=\frac{-9}{7} \\[/tex]

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The new coordinates after the dilation with scale factor 1/4 is

                             a' = (5/2 , 3/2)

To get the new coordinates when the point is dilated is to multiply the scale factor with the coordinates of the point.

According to the question we have been given that

    center of dilation = (0,0)

       Scale factor = 1/4

       coordinate of the point, a = (10,6)

To get the new coordinates we will multiply the given coordinates by the scale factor that is ,

          a' = 1/4*(10,6)

              = (10*1/4 , 6*1/4)

           a' = (5/2 , 3/2)

Hence the new coordinates after the dilation is a' = (5/2 , 3/2)

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The function of  f(x) = (x+4)³ + 3 is one-to-one  then the value of

[tex]f^{-1} (x) = \sqrt[3]{x} - 4[/tex] and,

[tex]f^{-1} (2) = -2.7401[/tex]

The function f(x) = (x+4)³ + 3

Let us assume,

y = (x+4)³ + 3

A function is said to be invertible when it has an inverse. It is represented by [tex]f^{-1}[/tex]. Condition for a function to have a well-defined inverse is that it be one-to-one and Onto or simply bijective.

Then,

y = (x+4)³   and    y = 3

Therefore the inverse of y = 3 is the line x = 3

We can solve,

y = (x+4)³

The solution of Inverse function,

So,

[tex]\sqrt[3]{y} = x+4[/tex]

We can get,

[tex]x = \sqrt[3]{y} -4[/tex]

So the inverse of y is [tex]\sqrt[3]{x} -4[/tex]

f(x) = (x+4)³

So the inverse of f(x) is [tex]\sqrt[3]{x} -4[/tex]

Therefore, [tex]f^{-1}( x)[/tex] = [tex]\sqrt[3]{x} -4[/tex]

Then f(x) = 2

[tex]f^{-1} (x) = \sqrt[3]{x} - 4[/tex]

We can substitute f(x) = 2

[tex]f^{-1} (2) = \sqrt[3]{2} -4[/tex]      

Since, ∛2 = 1.2599

We can substitute this value,

[tex]f^{-1} (2) = 1.2599-4[/tex]

[tex]f^{-1} (2) = -2.7401[/tex]

Therefore,

The value of ,

[tex]f^{-1} (x) = \sqrt[3]{x} - 4[/tex] and,

[tex]f^{-1} (2) = -2.7401[/tex]

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