The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increasing at the instant its radius is 2 inches?

Answer:

34.) 93 + 72 = 165

x = 165

35.) w + z + 9(w - z)

w + z + 9w - 9z

w + 9w + z - 9z

10 w - 8z

Answer:

Pretty sure it's H

Step-by-step explanation:

The two parabolas intersect at (-1,0) and (0,-1)

all the lenses inside the circle ar equal and the two chords are also equal distance from the center point so arc x would equal arc CD

X = 50 degrees

Answer: The cost of each pound of jellybean is $2.5

The cost for each pound of trail mix is $1.5

Step-by-step explanation:

Let the cost for each pound of jellybeans be x.

Let the cost of each pound of trail mix be y.

Based on the information given, we can form an equation which will be:

For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:

2x + 12y = 23 ...... i

For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:

5x + 3y = 17...... ii

2x + 12y = 23 ...... i

5x + 3y = 17...... ii

Multiply equation i by 5

Multiply equation ii by 2

10x + 60y = 115 ...... iii

10x + 6y = 34 ..... iv

Subtract iv from iii

54y = 81

y = 81/54

y = 1.5

The cost for each pound of trail mix is $1.5

From equation i

2x + 12y = 23

2x + 12(1.5) = 23

2x + 18 = 23

2x = 23 - 18

2x = 5

x = 5/2 = 2.5

The cost of each pound of jellybean is $2.5

Answer:

B

Step-by-step explanation:

The correct option is B.

The newspaper staff surveys random students from every grade in the school.

In cluster sampling, researchers divide a population into smaller groups known as clusters. They then randomly select among these clusters to form a sample. Cluster sampling is a method of probability sampling that is often used to study large populations, particularly those that are widely geographically dispersed.

An example of single-stage cluster sampling – An NGO wants to create a sample of girls across five neighboring towns to provide education. Using single-stage sampling, the NGO randomly selects towns (clusters) to form a sample and extend help to the girls deprived of education in those towns.

Learn more about cluster sampling here https://brainly.com/question/9910540

#SPJ2

I hope this is help full to you

Answer:

3

Step-by-step explanation:

because this is the formula of Pythagorean theorem a^2 + b^2 = c^2 so all I did was 5^2 = 25 - 4^2 = 25-16 = 9 and square root of 9 = 3 i hope this helps. :D please give brainliest

Answer:

[tex]P(A|B) = 1[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}[/tex]

[tex]A = \{2,4,6,8,10,12,14\}[/tex]

[tex]P(A) = 7/15[/tex]

[tex]B = \{4,8,12\}[/tex]

[tex]P(B) = 3/15[/tex]

Required

[tex]P(A|B)[/tex]

This is calculated as:

[tex]P(A|B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

Where

[tex]A\ n\ B = \{4,8,12\}[/tex]

[tex]P(A\ n\ B) = 3/15[/tex]

So, we have:

[tex]P(A|B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

[tex]P(A|B) = \frac{3/15}{3/15}[/tex]

[tex]P(A|B) = 1[/tex]

Answer:

Step-by-step explanation:

[tex]3x^2 - 2x + 4 = 0[/tex]

a = 3, b = -2, c = 4

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]

Answer:

Challenge B is 1.827

Step-by-step explanation:

I need more letters to submit this.

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Answer:

402 cm

Step-by-step explanation:

Given :

Radius = 4 cm

The Circumference of a circle :

C = 2πr

C = 2 * π * 4 = 8π

Spool is spun 16 times :

Circumference * 16

8π * 16

8 * 3.14 * 16

= 401.92

= 402 cm

Answer:

402 cm

Step-by-step explanation:

Answer:

[tex]h = 3.5[/tex]

[tex]w = 7[/tex]

[tex]l = 7[/tex]

Step-by-step explanation:

Given

[tex]Volume = 171.5ft^3[/tex]

Required

The dimension that requires least material

The volume is:

[tex]Volume = lwh[/tex]

Where:

[tex]l \to length[/tex]

[tex]w \to width[/tex]

[tex]h \to height[/tex]

So, we have:

[tex]171.5 = lwh[/tex]

Make l the subject

[tex]l = \frac{171.5}{wh}[/tex]

The surface area (A) of an open-top rectangular tank is:

[tex]A = lw + 2lh + 2wh[/tex]

Substitute: [tex]l = \frac{171.5}{wh}[/tex]

[tex]A = \frac{171.5}{wh} * w + 2*\frac{171.5}{wh}*h + 2wh[/tex]

[tex]A = \frac{171.5}{h} + 2*\frac{171.5}{w} + 2wh[/tex]

[tex]A = \frac{171.5}{h} + \frac{343}{w} + 2wh[/tex]

Rewrite as:

[tex]A = 171.5h^{-1} + 343w^{-1} + 2wh[/tex]

Differentiate with respect to h and w

[tex]A_h = -171.5h^{-2} +2w[/tex]

[tex]A_w = -343w^{-2} +2h[/tex]

Equate both to 0

[tex]-171.5h^{-2} +2w=0[/tex]

Make w the subject

[tex]2w = 171.5h^{-2}[/tex]

Divide by 2

[tex]w = 85.75h^{-2}[/tex]

[tex]-343w^{-2} +2h = 0[/tex]

Make h the subject

[tex]2h = 343w^{-2}[/tex]

Divide by 2

[tex]h = 171.5w^{-2}[/tex]

[tex]h = \frac{171.5}{w^2}[/tex]

Substitute [tex]w = 85.75h^{-2}[/tex] in [tex]h = \frac{171.5}{w^2}[/tex]

[tex]h = \frac{171.5}{(85.75h^{-2})^2}[/tex]

[tex]h = \frac{171.5}{85.75^2*h^{-4}}[/tex]

[tex]h = \frac{2}{85.75*h^{-4}}[/tex]

Multiply both sides by [tex]h^{-4}[/tex]

[tex]h^{-4} * h = \frac{1}{85.75*h^{-4}} * h^{-4}[/tex]

[tex]h^{-3} = \frac{2}{85.75}[/tex]

Rewrite as:

[tex]\frac{1}{h^3} = \frac{2}{85.75}[/tex]

Inverse both sides

[tex]h^3 = 85.75/2[/tex]

[tex]h^3 = 42.875[/tex]

Take cube roots

[tex]h = 3.5[/tex] ---- height

Recall that: [tex]w = 85.75h^{-2}[/tex]

[tex]w = 85.75 * 3.5^{-2}[/tex]

[tex]w = 7[/tex] --- width

Recall that: [tex]l = \frac{171.5}{wh}[/tex]

[tex]l = \frac{171.5}{3.5 * 7}[/tex]

[tex]l = 7[/tex] --- length

Answer:

Step-by-step explanation:

(0,-3.5)

Answer:

(0, -3.5)

Step-by-step explanation:

The x coordinate is first

We stay on the y axis so the x coordinate is 0

The y coordinate is second

We go down 3 1/2 units so the y coordinate is -3 1/2

(0, -3.5)

Answer:

Graph C is the correct answer

Step-by-step explanation:

Hope this helps and,

let me know if it was correct.

5d - 6 + 8 - 3d = 12

Combine like terms:

2d + 2 = 12

Subtract 2 from both sides

2d = 10

Divide both sides by 2

D = 5

Answer:

d = 5

Step-by-step explanation:

5d - 6 + 8 -3d = 12

Regroup

5d - 3d - 6 + 8 = 12

Combine like terms

2d + 2= 12

Subtract 2 from both sides

2d = 10

Divide both sides by 2

d = 5

Answer:

the answer is the first one

Answer:

4.87 ft

Step-by-step explanation:

The height of the skylight =

The height of the blue △ - the height of the red △

Let b ft be the height of the blue △.

sin 60° = [tex]\frac{b}{25} [/tex]

b = 25 sin 60°

Let r ft be the height of the red △.

tan 40° = [tex] \frac{r}{20} [/tex]

r = 20 tan 40°

The height of the skylight

= 25 sin 60° - 20 tan 40°

= 4.87 ft (rounded to the nearest hundredth)

Answer:

Yellow will have the best chance because it’s more red will have the second best chance because it is the second biggest and blue you probably will never get it

Step-by-step explanation:

Answer:

A. Regression, independent

Step-by-step explanation:

Regression analysis can be regarded as a statistical methods which is been utilized in estimating the relationships that exist between a dependent variable as well as one or more independent variables. It is tools used in assessment of strength of the relationship that between variables, it could be used to model future relationship between variables.

Regression analysis posses different

variations, These are;

✓ linear

✓ nonlinear

✓multiple linear,

For linear model, this equation can be used.

Y = (a + bX + ϵ)

Where

Y =Dependent variable

a =Intercept

X= Independent variable

ϵ = Residual error

b =Slope

It should be noted that Regression

analysis is the statistical process of estimating the relationship between dependent and independent

variables.

Answer:

x^2-4x+4

Step-by-step explanation:

See image below:)

Answer:

Step-by-step explanation:

1). Since, XM is the radius of the circle,

   Therefore, area of the circle = [tex]\pi r^{2}[/tex]

                                                   = [tex]\pi (XM)^2[/tex]

                                                   = [tex]\pi (12)^2[/tex]

                                                   = 452.39 units²

2). Circumference of a circle = 2πr

                                                = 2π(XM)

                                                = 2π(12)

                                                = 24π

                                                = 75.40 units

3). By applying Pythagoras theorem in ΔYXM,

    YM² = XY² + XM²

    (43)²= (XY)² + (12)²

     1849 - 144 = (XY)²

     XY = 41.29 units

4). tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                  = [tex]\frac{XY}{XM}[/tex]

    m∠M = [tex]tan^{-1}(\frac{41.29}{12} )[/tex]

              = 73.79°

5). Area of ΔXYM = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(41.29)(12)[/tex]

                             = 247.74 square units

6). Area of the minor sector created by ΔXYM = [tex]\frac{\theta}{360}(\pi r^2)[/tex]

                                                                             = [tex]\frac{73.79}{360}(452.39)[/tex]

                                                                             = 92.73 units²

Hi there! g(0) means the value of g(x) at x = 0. Look at x = 0 and see which y-point makes x = 0.

See that y = 4 makes x = 0 for the graph. Thus, g(0) = 4.

Next is to find the domain and range. Domain is the set of all x-values while Range is the set of all y-values.

For domain, look at the horizontal x-axis plane and the graph. Notice how the graph infinitely goes up for both negative and positive. Since the graph is in negative and positive as well. That means the domain is all real numbers

For range, look at the vertical y-axis and the graph. Notice how when y < -2, there are no points that are part of the graph. The graph goes infinitely for range as well but there're no y-values less than -2 for the graph.

Therefore, range is y >= -2.

Answer

Answer:

x= √65, so B is the answer

Answer:

200+15x

Step-by-step explanation:

he will need to save at least 200+15x

y= amount to purchase the computer

x=hours worked for $15 per hour

$200 -money already saved

y ≤ 200+15x

Answer:

It would be 7p, 4p + 3p, and 5p + 2p

Step-by-step explanation:

Overall there is 7 p's

4 + 3 = 7 and 5 + 2 = 7

Unless there is more information, those are the answers.

9514 1404 393

Answer:

  neither

Step-by-step explanation:

The x-values have a common difference of 1. The y-values have first differences of 10, 20, 30. The second differences are constant at 10, indicating a quadratic relation.

The relation is neither exponential nor linear.

_____

y = 5x^2 -145x +1060