How far are 2 and -5 apart on the number line?

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y=5x-3[/tex]

The general form of equation of line in slope-intercept form is written as:

[tex]y = mx+b[/tex]

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

[tex]y = m_1x+b[/tex]

[tex]y=5x+b[/tex]

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]

Putting the value of b and m1, we get

[tex]y = 5x+37[/tex]

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

Answer:

Step-by-step explanation:

5/6 and 3/8  LCD is 24

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

Refer to question: https://brainly.com/question/18999872

Answer:

Step-by-step explanation:

The area of circle with radius of 2 yd (the length of the rope) is:

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

Let the area be 30 yd², finding the r as per above formula:

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.

Step-by-step explanation:

100 miles

100 miles

100 miles

100 miles 100 miles

100 miles ok?

Answer:

2+x=O

x= -2

x€ Real number [-2+ infinite )

Answer:

[tex]x\geq -2[/tex]

Step-by-step explanation:

[tex]g(x)=\sqrt{2+x}[/tex]

We know we can only take the square root of a number greater than or equal to 0.

[tex]2+x\geq 0\\x\geq -2[/tex]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. [tex]m = -\frac{23350}{13}[/tex]

c. [tex]y = -\frac{23350}{13}x + 23350[/tex]

Step-by-step explanation:

Given

[tex]Years = 13[/tex]

[tex]Total\ depreciation = \$23350[/tex]

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

[tex]m = \frac{23350}{13}[/tex]

Because it is depreciation, it means the slope represents a deduction.

So,

[tex]m = -\frac{23350}{13}[/tex]

Solving (c): The straight line equation

The general format of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

In (a), we have that:

[tex]y\ intercept = 23350[/tex]

In (b), we have that:

[tex]Slope\ (m) = -\frac{23350}{13}[/tex]

Substitute these values in [tex]y = mx + b[/tex]

[tex]y = -\frac{23350}{13}x + 23350[/tex]

Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

Answer:

[tex]Codes= 512[/tex]

Step-by-step explanation:

Given

[tex]Switches = 9[/tex]

[tex]Controls = 2[/tex] ------- on or off

Required

Determine the number of codes to be programmed

Since each switch has any of the on or off controls (i.e on or off), then:

The first switch can be coded in any of the 2 controls

The second switch can be coded in any of the 2 controls

The third switch can be coded in any of the 2 controls

Up till the ninth switch

So, we have that:

[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]

[tex]Codes = 2^9[/tex]

[tex]Codes= 512[/tex]

Hence, there are 512 possible codes

Answer:

triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5

Answer:

126

Step-by-step explanation:

70+56

Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

Step-by-step explanation:

we can factor out z

so that'll be

z((1/m)-(1/n))=1

divide by the value in parentheses on both sides

z=1/((1/m)-(1/n))

I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand

Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?

Step-by-step explanation:

Answer:

It is the first one 15 is the y intercept slope 8/1

Answer:

x= -5

Step-by-step explanation:

3х - 4<-19=

add +4 to both sides

3x<-15

divide 3 on both sides

x<-5

might have to rewrite the final answer