Determine whether the relation is a function. Quick EMERGENCY ​

Answer:

2/3 is the slope of the perpendicular line

Step-by-step explanation:

1) put into slope-intercept form (y=mx+b)

-8=2y+3x

-2y=3x+8

y=-3/2x-4

2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.

so, because the original was -3/2, the new one is 2/3

Answer:

(x,y)=(-4/5,10/19)

Step-by-step explanation:

x+2y=3

x-8y=-16

x+2y=3

-x+8y=16 (multiply both sides by-1)

10y=16

y=16/10

x+2(16/10)=3

x=-4/5

GH=po

That is answer

Yay

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

Answer:

y < 1/2x -5

Step-by-step explanation:

1/2 is the slope

-5 is the y intercept

Answer:

you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.

500*.8=400

Answer:

Step-by-step explanation:

This is the right answer

I screenshot the picture and it shows i got it right

Answer:

it takes her 1/10 of an hour

Step-by-step explanation:

math

Answer:

9/50

Step-by-step explanation:

There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:

Probability = number of favorable outcomes /total number of outcomes

Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50

Answer:

12x

Step-by-step explanation:

Not a quotient because its not division.

Answer:

1/5

Step-by-step explanation:

Hope this helps!

Answer:

i think 7

Step-by-step explanation:

Step-by-step explanation:

u should:

7t = t + 48 » 7t - t = 48 » 6t = 48 » t = 8

and another one is:

2u + t + 13 = 10t + u - 44» 2u + 8 + 13 = 80 + u - 44»

» 2u + 21 = u + 36 » 2u - u = 36 - 21 » u = 15

Answer:

(x−1)(6x2+1)

Step-by-step explanation:

x^3-6x^2+x-1

(x−1)(6x^2+1)

Answe: (

( − 1 ) ( 6 ^ 2 + 1 )

Answer:

Percent of occurrences= (Numbers of behavior/Numbers of opportunities)*100

Step-by-step explanation:

Based on the information given if a child is to put his/her plate in the sink everyday after having dinner the formula that will be use to calculates percent of occurrences is :

Percent of occurrences=( Numbers of behavior/Numbers of opportunities)*100

Where:

Numbers of behavior represent the Numbers of times the plate was put in the sink by child everday

Numbers of opportunities represent the Numbers of dinners the child had everyday

Answer:

b=56

Step-by-step explanation:

Try

Answer and explanation:

We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour

We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.

We are told Sarah wishes to make as many shortbreads as possible.

To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.

Answer:

A point on the line is m=1/2

A point on the line is (1,4)

Step-by-step explanation:

Answer:

B. 4x-8

Step-by-step explanation:

Answer:

I think it might be d

Step-by-step explanation:

Im not completely sure, BUT YOU GOT THIS

Answer:

a) [tex]\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}[/tex]

b) [tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]

c) [tex]\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}[/tex]

Step-by-step explanation:

In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).

a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:

[tex]A=\pi r^{2}[/tex]

So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:

[tex]dA = \pi(2) r dr[/tex]

and divide both sides into dt so we get:

[tex]\frac{dA}{dr} = 2\pi r \frac{dr}{dt}[/tex]

and now we can substitute:

[tex]\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})[/tex]

[tex]\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}[/tex]

b) In order to solve part b, we can start with the formula for the volume:

[tex]V=\pi r^{2} h[/tex]

and solve the equation for h, so we get:

[tex]h=\frac{V}{\pi r^{2}}[/tex]

So now we can rewrite the equation so we get:

[tex]h=\frac{V}{\pi}r^{-2}[/tex]

and now we can take its derivative so we get:

[tex]dh=\frac{V}{\pi} (-2) r^{-3} dr[/tex]

we can rewrite the derivative so we get:

[tex]\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}[/tex]

we can take the original volume formula and substitute it into our current derivative, so we get:

[tex]\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}[/tex]

and simplify:

[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]

so now we can go ahead and substitute the values  provided by the problem:

[tex]\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})[/tex]

Which simplifies to:

[tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]

c)

Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:

[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]

The rate of change of the height of the pizza with respect to (w.r.t.) time

can be found given that the volume of the pizza is constant.

Reasons:

The height of the dough when t = k is 13 inches

Radius of the dough = 12 inches

Rate at which the radius of the dough is increasing, [tex]\dfrac{dr}{dt}[/tex] = 2 in.²/min

(a) Required: The rate of increase of the surface area with time

Solution:

The circular surface area, A = π·r²

By chain rule of differentiation, we have;

[tex]\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}[/tex]

[tex]\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi[/tex]

The rate of increase of the surface area with time, [tex]\mathbf{\dfrac{dA}{dt}}[/tex] = 4·π in.²/min.

(b) Required: The rate of decrease of the height with respect to time

The volume of the pizza is constant, given by; V = π·r² ·h

Therefore;

[tex]h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}[/tex]

[tex]\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3[/tex]

The rate at which the height of the dough is decreasing, [tex]\mathbf{\dfrac{dh}{dt}}[/tex]= [tex]\underline{4.\overline 3 \ in./min}[/tex]

(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.

Solution:

[tex]\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}[/tex]

[tex]\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}[/tex]

The rate of change the height of the dough w.r.t. the radius is [tex]\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}[/tex]

Learn more here:

https://brainly.com/question/20489729

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]

[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]

[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]

Now, comparing areas:

[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]

[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

Answer:

24.3470022334

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

Answer:

B: (2, -1)

Step-by-step explanation:

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

Answer:

yeh its b

Step-by-step explanation:

because the first persons answer was right and well i want the points.

Answer:

107.5

Step-by-step explanation:

8 × 2.75ft = 22ft

22ft + 85.5ft = 107.5ft

Answer:

107.1

Step-by-step explanation:

the elevator is at 85.5 feet.

if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.

1. find the direction your going (up or down)

2. how far? (what rate for this one)

3. multiply said problem (2.75 x 8)

4. get your answer (21.6 ft per 8 seconds)

5. add or subtract to the height you are at now (85.5 ft)

6. you now have your answer! (107.1 ft in the air)