Does this graph represent a proportional relationship(direct variation). Why?

Answer: A

Step-by-step explanation: just took the test

Answer:

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Step-by-step explanation:

From Rotation Physics we know that angular speed is the number of revolutions done by a particle at a given time. If the boy is twirling a model airplane at constant speed, then we calculate such variable as follows:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]\dot n[/tex] - Angular speed, measured in revolutions per minute.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions.

[tex]t[/tex] - Time, measured in minutes.

Now we clear the number of revolutions done by airplane within expression:

[tex]n = \dot n \cdot t[/tex]

If we know that [tex]\dot n = 0.5\,\frac{rev}{min}[/tex] and [tex]t = 4\,min[/tex], then we get that number of revolutions is:

[tex]n = \left(0.5\,\frac{rev}{min} \right)\cdot (4\,min)[/tex]

[tex]n = 2\,rev[/tex]

The airplane made two revolutions in four minutes.

Now, the distance covered by the airplane ([tex]s[/tex]), measured in feet, is calculated by means of the equation below:

[tex]s = 2\pi\cdot l\cdot n[/tex]

Where:

[tex]l[/tex] - Length of the string, measured in meters.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions (dimensionless).

If we get that [tex]n = 2\,rev[/tex] and [tex]l = 4\,ft[/tex], then the distance covered by the airplane in 4 minutes is:

[tex]s = 2\pi\cdot (4\,ft)\cdot (2\,rev)[/tex]

[tex]s \approx 50.265\,ft[/tex]

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Answer:

9

Step-by-step explanation:

Expected number of defective is given as :

N x P = np

Where = number of the sample drawn from the production lot

P= percentage of bulbs In The lot which are defective

N = 15

P = 60% = 0.60

So when we do the multiplication,

We have:

NP = 15x0.60

= 9

So in conclusion the expected value of defective bulbs in the sample is 9.

Answer:

[tex]\dfrac{800 \pi}{7} \ miles/min[/tex]

Step-by-step explanation:

From the given information:

We learned that the light rotates 8 revolutions per minute.

Therefore;

[tex]\dfrac{d \theta}{d t}= \dfrac{8 * 2 \pi}{1 \ min}[/tex]

[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]

From the trigonometry formula, the tanget of the lighthouse in relation to the  closest point on a straight shoreline can be expressed as:

[tex]tan \theta = \dfrac{x}{7}[/tex]

By differentiation with respect to t; we have:

[tex]\dfrac{d(tan \theta)}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex]\dfrac{d(tan \theta)}{d \theta}* \dfrac{d \theta}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

By applying the chain rule:

[tex]sec^2 * \dfrac{d \theta }{d t} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex](1 + tan ^2 \theta) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

When x = 3 ; we have [tex]tan \theta = \dfrac{1}{7}[/tex]

[tex]\bigg (1 + \dfrac{1}{49} \bigg ) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

Also;

[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]

[tex]\bigg (1 + \dfrac{1}{49} \bigg ) 16 \pi = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex]\bigg ( \dfrac{50}{7} \bigg ) 16 \pi = \dfrac{dx}{dt}[/tex]

[tex]\dfrac{dx}{dt} = \dfrac{800 \pi}{7} \ miles/min[/tex]

Answer: it’s -32,0! - 10 on the left and -7 on the right because of you start at -12,14 you get the y value to 0 and increase by 10 since it is shown to be a increase in each x and y value

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

If s is 2, the new equation would be 15x2, which is 30.

Answer:

30

Step-by-step explanation:

[tex]15 \times 2 = 30[/tex]

I think this is the answer

Answer:

Your answer is: x = 8/3 , -10/3

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

"if no deposits or withdrawals..." and "this account may generate income..." are both an Investment Account

Step-by-step explanation:

and the other two are for a savings account

Answer: 3/4

Step-by-step explanation: 15 simplified is 3 and 20 simplified is 4

3/4

Answer:

2 lip glosses

explanation

4x8= 32

50-32=18

2 lipglosses would be $20

32+20=52

52>50 meaning she qualifies for free shipping

4 eye shadows -- 8 x 4 = $32

lip glosses $10 -- 32 + 10 + 10 = $52

to qualify for free shipping, wendy needs to buy 2 lip glosses.

Answer: (1, 0)

Step-by-step explanation:

1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.

Step-by-step explanation:

Answer:your GPA is 3.914

Step-by-step explanation:your making me realized how stupid i am with those grades T-T

Answer:

it will be $.60

Step-by-step explanation:

divide 90 by 6 and get 15. multiply 4 by 15 and get 60!

4 ounces would be 0.60 cents

Answer:

$42

Step-by-step explanation:

D

Answer:

Pb (Lead)

General Concepts:

The number of protons in the nucleus of an element determines where it is on the Periodic Table and what element it is.

Step-by-step explanation:

Given: 82 Protons

Looking at the Periodic Table, the element that has 82 protons is Lead (Pb).

Answer: a) Let x be a random variable that represents the number of brown M&M’s in a milk chocolate packet.

b) Mean =7.28

c) Variance = 6.2608

d) Standard deviation = 2.5022

Step-by-step explanation:

Given : The proportion of brown M&M’s in a milk chocolate packet is approximately : p=14% =0.14

We have outcomes for every randomly selection : 1) its in a milk chocolate packet 2) its not.

a) Let x be a random variable that represents the number of brown M&M’s in a milk chocolate packet.

So x follows binomial distribution.

b) Sample size : n=52  (given)

Mean [tex]= np = (0.14)(52) =7.28[/tex]

c) Variance = [tex]n p (1-p)= 52 (0.14)(1-0.14) =7.28(0.86)=6.2608[/tex]

d) Standard deviation =[tex]\sqrt{Variance}=\sqrt{6.2608}\approx2.5022[/tex]

Answer:

2(x - 562.5)

Factor out the 2

Answer:

The answer is 9

Step-by-step explanation:

The number marbles were neither red nor yellow is 9.

Given that, a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of red marbles = 1/4 × 28

= 7

The number of yellow marbles = 3/7 × 28

= 12

Total number of red and yellow marbles = 7+12 = 19

Neither red nor yellow = 28-19=9

Therefore, the number marbles were neither red nor yellow is 9.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

its 15

Step-by-step explanation:

i took the quiz and google

Answer:

15 lollsss

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

[tex] \frac{8(8)}{2} = 32[/tex]

i think this is the answer

Answer:

32

Step-by-step explanation:

8 x 8 = 64

64/2 = 32

Hope this helps!

This question is incomplete, the complete question is;

find the critical points and classify them as local maxima, local minima, saddle points, or none of these.

f(x,y) = (x + y)(xy + 1)

Answer:

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Step-by-step explanation:

Given that;

f(x,y) = (x + y)(xy + 1)

f(x,y) =x²y + xy² + x + y

for critical points fx =0 ,fy =0

fx = 2xy + y² + 1 = 0, fy = x² + 2xy + 1 = 0

2xy + y² + 1 = 0, x²+ 2xy + 1 = 0

2xy + y² + 1 - x² - 2xy - 1 = 0

x² = y²

=> x = y, x = -y

2xy + y² + 1 = 0, x = y

2yy + y² + 1 = 0

3y² = -1 , no solution

2xy + y² + 1 = 0, x = -y

-2yy + y² + 1 = 0

=> -y2 + 1 = 0

=> y = -1, y = 1  

y = -1 => x = 1, y = 1 => x = -1  

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Answer:

x=52.5

Step-by-step explanation:

2/3x-5=30

2/3x=35

x=52.5

Answer:

16.5cm

Step-by-step explanation:

[tex]perimeter = 2(l + w)\\l = 3 + w\\perimeter = 60\\2(l + w) = 60\\sub (l = 3 + w) for - l\\2((3+w) + w) = 60\\2(3 + w + w) = 60\\2(3 + 2w) = 60\\6 + 4w = 60\\4w = 60 - 6\\4w = 54\\w = \frac{54}{4}\\w = 13.5\\\\substitute- w= 13- into 2(l = 3 + w)\\l = 13.5 + 3\\l = 16.5[/tex]

Answer:

46.7

Step-by-step explanation:

3% of light is obliterated from this pane of glass

1-0.03

= 97% = 0.97

The function has been given as

P(n) = 100(0.97)^x

Let's take our x to be 25 just as the question says

P(n) = 100(0.97)²⁵

P(25) = 46.697

This is approximately equal to 46.7

Therefore the percentage of light that would pass through 25 panes is 46.7