Question 5 (5 points)
(06.02 LC)
A scatter plot is shown:

Which graph best represents the line of best fit for this scatter plot?

Answer:

0.43 ft/hr

Step-by-step explanation:

dv/dt = 15ft³/hr

Height = 10ft

We are required to get dh/dt

h = 3r

r = h/3

Formula for volume = 1/3πr²h

We put value of h

1/3π(h/3)²h

= 1/3π(h²/9)h

= 1/3πh³/9

= πh³/29

dv/dt = 1/27π.3h²dh/dt

= dv/dt = πh²/9dh/dt

Remember dv/dt = 15

When we put this in we get

dh/dt = 15x9/3.142x10²

= 135/314.2

= 0.43 ft³/hr

Please check the attachment I added also to add you.

Answer:

x²+5x - 150 = 0

Step-by-step explanation:

Let the length be y and width be x

If the  length of a swimming pool is 10 more than 2 times the width, then;

y = 2x+10 ...1

Since the Area is 300m²

A = xy

300 = xy .... 2

Substitute 1 into 2

300 = x(2x+10)

300 = 2x²+10x

Rearrange

2x²+10x - 300 = 0

Divide through by 2

x²+5x - 150 = 0

This gives the required quadratic expression

9514 1404 393

Answer:

  3. $6000 at 8%; $5000 at 5%

  4. 66 2/3 gallons of 9%; 133 1/3 gallons of 6%

Step-by-step explanation:

For many mixture problems, it works well to let a variable represent the amount of the largest contributor used in the mix.

3. Let x represent the amount invested at 8%. Then the total interest is ...

  8%x +5%(11000-x) = 730

  3%x = 730 -550

  x = 180/0.03 = 6000

$6000 was invested at 8%; $5000 was invested at 5%.

__

4. Let x represent the number of gallons of 9% content. Then the alcohol content of the mix is ...

  9%x +6%(200 -x) = 7%(200)

  3%x = 1%(200) . . . . . subtract 6%(200)

  x = 200/3 = 66 2/3 . . . . . divide by 3%

  200 -x = 133 1/3

66 2/3 gallons of 9% wine and 133 1/3 gallons of 6% wine should be used.

Answer:

Step-by-step explanation:

The area of a triangle is half the product of the base and the height

A=hb/2

A=(8 1/2)(14 1/6)(1/2)

A=(17/2)(85/6)(1/2)

A=1445/24 ft^2

A=60.21 ft^2 (approximately)

Answer:

I'm just going to answer so the "Genius" answerer can get Brainliest or something...

Step-by-step explanation:

Answer:

V= l x b x h

= 9cm x 6cm x 12cm

=648

Answer:

Step-by-step explanation:

Since it is ROTATED about the vertical line a cone is formed.

Answer:

65%

Step-by-step explanation:

[tex]\frac{52}{80} \times 100=65[/tex]

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

Answer:

x = 3

Step-by-step explanation:

Since, 2 is the arithmetic mean of 1-2x and 3x.

Therefore,

[tex] \frac{1 - 2x + 3x}{2} = 2 \\ \\ \frac{1 + x}{2} = 2 \\ \\ 1 + x = 4 \\ \\ x = 4 - 1 \\ \\ x = 3[/tex]

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

Answer:

8

Step-by-step explanation:

because it is 79, it would require 8 ten dollar payments, while there is a remainder of 1

Answer:

26, 28, and 30

...............

Answer:

In the first movie, Elsa is 21, Anna is 18, and Kristoff is 23.

So after 3 years, Elsa would be 23, Anna would be 21, and Kristoff would be 26.

Step-by-step explanation:

I didn't fully understand the question, so I tried my best.

Forgive me if I am wrong.

Plantain is a large property, usually focused on a plantation's house, which is used for cash crop production.

Cotton, coffee, tea, chocolate, sugar cane, opium, sisal, oil seeds, oil palms, fruits, rubber trees, and agroforestry systems are among the crops farmed.

The benefits of propagating the trees are:

To know more about the benefits of propagating trees, refer to the link below:

https://brainly.com/question/18251106

Answer:

u dont have a question attached

Step-by-step explanation:

Answer:

Regression to the mean fallacy

Step-by-step explanation:

It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.

Answer:

yessir

Step-by-step explanation:

Answer:

X + Y = 180°

Step-by-step explanation:

We know that vertical opposite angles are equal

So,

Angle A = Angle B

So,

Assume;

Angle A = x

So,

Angle A + Y = 180°

So,

X + Y = 180°

Answer:

Never:

Step-by-step explanation:

because its more understandable we know this because it wouldnt be always

Answer:

43/13, 129/26, 129/13, 645/26

Step-by-step explanation:

Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:

w + x + y + z = 43    (1)

x = 3/5(w + x)

2x/5 = 3w/5

x = 3/2(w)  

x = 5w/2 - w = 3w/2  (2)

y = 2/3(x + y)

y/3 = 2x/3

y = 2x = 2(3w/2) = 3w    (3)

z = 5/7(y + z)

2/7(z) = 5y/7

z = 5y/2 = 5(3w)/2 = 15w/2   (4)

substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:

w + 3w/2 + 3w + 15w/2 = 43

13w = 43

w = 43/13

x = 129/26

y = 3w = 129/13

z = 645/26

Answer:

13 ingredients

Step-by-step explanation:

The number of different recipes that can be made from 2 ingredients = 78

Since there are no two recipes that share the exact same two ingredients ;

The number of recipes in Mark's kitchen is:

nCk = 78

k = Number of ingredients per recipe = 2

n = total number of ingredients in kitchen

Total recipes made = 78

n! / (n-r)!r! = 78

n! / (n - 2)!2! = 78

n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78

n(n - 1) / 2 = 78

n(n-1) = 156

n² - n = 156

n² - n - 156 = 0

Factorize :

n² - 13n + 12n - 156 = 0

n(n - 13) +12(n-13) = 0

(n-13) = 0 ; (n+12) = 0

n = 13 or n = - 12

n cannot be negative

Hence, n = 13

Number of ingredients is 13

Answer:

The answer is 34.9

Step-by-step explanation:

48÷11= 4.3636363636

4.3636363636×8=34.9090909088

So, the answer is 34.9

Answer:

75°

Step-by-step explanation:

All parallel lines will meet their transversal (the line going through them) at the same angle. We can imagine sliding line m up to line l until the two are overlapping, and naturally all of those angles at the intersection will overlap, too. ∠6 will overlap ∠2, so the two angles are congruent. If m∠6 = 75°, then m∠2 = 75°!

Answer:

3

Step-by-step explanation:

he spend 26 dollars and bought the shoes for 5 dollars

26-5=21 so therefore you have to divide the amount of money per game

26÷7=3

Answer:

1/4 of them were rotten

rotten ones = 1/4 × 12 = 3

ones that weren't rotten = 12 - 3 = 9

Answer: chi square test goodness of fit

Step-by-step explanation:

Is used to investigate whether or not there is a significant difference between a distribution generated from a sample and a hypothesize population distribution

Are there any other numbers to this question? I will be glad to help.

Answer:

Second (middle) option

Step-by-step explanation:

You can clearly tell from the graph that the y intercept is at 0,0

in [tex]ax^2+bx+c[/tex], c is always the y value of the y-intercept

in this case the value is 0 so there shouldn't be a visible "c" in the equation, which is why the answer is the middle option