The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of
the completely inflated balloon is 784 cm², how long will it take for the balloon to fully inflate?
Use SA=4r2
7 seconds
10 seconds
49 seconds
196 seconds

Answers

Answer 1

Answer:

7 seconds

Step-by-step explanation:

SA = 4πr²

784π = 4πr²

196 = r²

r = 14

At 2 cm/s, it takes 7 seconds to reach a radius of 14 cm.

Answer 2

Answer:

Answer is A, 7 seconds

Step-by-step explanation:

Answer is A on edgenuity, answers do not mix


Related Questions

there are (4 to the 9th power) to the 5th power times 4 to the 0 power books at the library. what is the total number of books?

Answers

Answer:

1310720

Step-by-step explanation:

you multiply (4^9) and get 262144 then multiply (262144)^5 and get 1310720*4^0 and multiply 4*0 and get 0 so 1310720 if that makes sense

In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.

Answers

Answer:

QC - PB = 6

Step-by-step explanation:

Given PQ is parallel to BC then it divides the sides proportionally, that is

[tex]\frac{AP}{AQ}[/tex] = [tex]\frac{PB}{QC}[/tex] = [tex]\frac{15}{24}[/tex] = [tex]\frac{5}{8}[/tex] , then

[tex]\frac{PB}{QC}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )

8PB = 5QC → *

Given PB + QC = 26 , then

PB = 26 - QC

Substitute into *

8(26 - QC) = 5QC ← distribute left side

208 - 8QC = 5QC ( subtract 5QC from both sides )

208 - 13QC = 0 ( subtract 208 from both sides )

- 13QC = - 208 ( divide both sides by - 13 )

QC = 16

Thus PB = 26 - QC = 26 - 16 = 10

QC - PB = 16 - 10 = 6

Simplify the expression. (5+3)×4 8 17 23 32

Answers

Answer:

32

Step-by-step explanation:

BIDMAS

(5 + 3) = 8

8 x 4 = 32

I NEED HELP PLEASE !!!

Answers

Answer:

-3

Step-by-step explanation:

Solve each piece then use order of operations to solve.

[tex]4^{\frac{1}{2} }[/tex] = 2

[tex]\sqrt[4]{16}[/tex] = 2   so [tex]\frac{2}{\sqrt[4]{16} }[/tex] = [tex]\frac{2}{2}[/tex] = 1

Use the order of operations to finish solving. Multiplication and division come before addition and subtraction.

2 * 1 - 10 ÷ 2

2 - 5 = -3

-3

What is the exact value of cos(-60°)?​

Answers

Answer: 1/2

Step-by-step explanation:

cosine=adjacent/hypotenuse

Cos (-60)=1/2

This is a special triangle

see below as the ratio of each side

Hope this helps!! :)

Please let me know if you have any question

cos (-60) = 1/2

If you look at the cosine graph below you can see the black line pointing at 60 degrees is at 0.5, which is 1/2

if you were to describe a translation of triangle ABC what information would you need to include your description

Answers

Answer:

In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move

Step-by-step explanation:

You need to how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

The rule of translation, which states how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ2

Which of the following statements are true? The coordinates of point p (2,3) lie along the directed segment

Answers

Answer:

3

ehebehejhebehsueywbw

Answer:

It was number 2

Step-by-step explanation:

The one where P is located at (3,5)

A bag of chips contains 145 calories per serving. Each bag of chips contain 3 servings. How many calories are in 2 bags of chips?

Answers

Answer:

870

Step-by-step explanation:

you take the calories per serving, 145, and multiply it by the number of servings in the bag, 3. this gives you 435, the number of calories in a bag. then you take the number of calories in a bag times the number of bags. you get 870

Answer:

870

Step-by-step explanation:

Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.

Answers

Answer:

932.60 kg

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number.

114% of 818.07 kg =

= 114% * 818.07 kg

= 114/100 * 818.07 kg

= 1.14 * 818.07 kg

= 932.60 kg

Answer:932.60

Step-by-step explanation:

i had the same question on hegarty lol

(6−3x
2
−8x
4
−2x
3
)+(6+7x
2
)+(2−7x
3
+3x
2
)


What is the constant?

Answers

Answer:

14

Step-by-step explanation:

I tried to put the problem together as best as I could and i got the problem as (6-3x^2-8x^4-2x^3)+(6+7x^2)+(2-7x^3+3x^2)

That means that the constants are 6+6+2.

6+6+2= 14

N this conversation the two people speak a total of 42 words in 21 seconds. When we have a comparison of two numbers with different units (like words and seconds), that is called a _______ .

Answers

Answer: I believe it would be called a rate.

what is the pattern between 5,3,9,7,13

Answers

Answer it takes away 2 than adds 3 and takes away 2 than instead of adding 3 on the fourth number it adds 6 so maybe it doubles the number it adds every time or it adds three onto the last number it added with and continues like that.

Step-by-step explanation:

1. Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?​

Answers

Answer:

Step-by-step explanation:

It's simple simply do

3750÷500=7.5

Answer:

0.075

Step-by-step explanation:

0.075x500=37.50

solve for x -18+26=-2(x+2)

Answers

Answer:

x = -6

Step-by-step explanation:

-18 + 26 = -2(x + 2)

8 = -2x - 4

12 = -2x

x = -6

2x+4 = x-18+26

X=4

2X-x= x
-18+26-4=4

Which set of angle measures could be the measures of the interior angles of a triangle? 90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°

Answers

Answer:

60°, 60°, and 60° is the set of interior angles of triangle.

Step-by-step explanation:

Given:

Set of interior angles

90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°

Find:

Set of interior angles of triangle

Computation:

We know that, sum of  interior angles of triangle is 180°

So,

90° + 42° + 58° = 190°

60° + 60° + 60° = 180°

100° + 48° + 42° = 190°

31° + 75° + 70° = 176°

So,

60°, 60°, and 60° is the set of interior angles of triangle.

Answer:

60°, 60°, and 60°

Step-by-step explanation: I took the quiz

A product has a production cost function ​C(x)x and a revenue function ​R(x)x. Find and analyze the​ break-even quantity, then find the profit function.

Answers

A product has a production cost function ​C(x) =165x + 3630 and a revenue function ​R(x)= 220x. Find and analyze the​ break-even quantity, then find the profit function.

Answer:

the break-even  quantity = 66

the profit function = 55x - 3630

Step-by-step explanation:

Given that:

C(x) = 165x + 3630

R(x) = 220 x

The Break-even quantity is C(x) = R(x)

165x + 3630 = 220x

collecting the like terms, we have:

3630 = 220 x - 165 x

3630 = 55 x

[tex]x = \dfrac{3630}{55}[/tex]

x = 66

Thus, the break-even  quantity = 66

The profit function = R(x) - C(x)

The profit function = 220x - 3630 - 165x

By rearrangement

The profit function = 220x - 165x - 3630

The profit function = 55x - 3630

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is , and the remaining credit after minutes of calls is . What is the remaining credit after minutes of calls?

Answers

Answer and Step-by-step explanation: Suppose remaining credit is y and time in minutes is x. To determine a value of y corresponding to a value of x, first find the equation for the function.

Since the function is linear, the equation is of the form: y = mx + b. To determine it:

1) Find slope, or inclination, of the line:

slope (m) = [tex]\frac{y_{b}-y_{a}}{x_{b}-x_{a}}[/tex]

where x's and y's are points of the function.

2) Determine the y-intercept, or b: Use a point of the function, replace them at the equation, y = mx + b, and find b.

3) The equation will be: y = mx + b

With the equation, replace x for the minutes the question is asking and calculate to find the remaining credit.

Th result will be a pair (x,y)

how many phone numbers are possible in the (404) area code if the seven digit number have the form FGH-XXXX where F is restricted to 3-9 and X,G and H can be any digit 0-9?

Answers

Answer:

900 phone numbers possible.

Step-by-step explanation:

Given the seven digit numbers are of the form:

FGH-XXXX

Possibilities for F = 3 - 9 and X i.e. 9 possibilities

Possibilities for G = 0 - 9 i.e. 10 digits

Possibilities for H = 0 - 9 i.e. 10 digits

To find:

How many numbers are possible ?

Solution:

This problem is nothing but a problem in which we have to find out how many numbers are possible where each digit has a few options available.

Number of ways to select F = 8 digits from 3 to 9 and 1 alphabet X = 9

Number of ways to select G = 10 digits from 0 to 9

Number of ways to select H = 10 digits from 0 to 9

XXXX part will be same in all the numbers.

So, total phone numbers possible = [tex]9 \times 10 \times 10 = \bold{900}[/tex]

Hence, the answer is:

900 phone numbers possible.

Riley is saving up to buy a new television. She needs a total of $1,372.35. Riley has saved $200.55 already and earns $78.12 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television? A. 14 B. 16 C. 15

Answers

Answer: C. 15

Step-by-step explanation: You take the total amount that she needs: $1,372.35 and you subtract $200.55. Then you are left with $1171.1. This is the amount that she needs still. Then you take $78.12 and multiply it by 15. You get $1171.8. Then when you add $200.55 and $1171.8 you get $1171.1.

what are equations in algebra?

Answers

statement that the values of two mathematical expressions are equal

The figure to the right has its congruent segments marked. Find
the measure of AB.
17 meters
B
5 meters
AB = meters
(Type an integer or a decimal.)

Answers

Answer:

AB = 17 meters

Step-by-step explanation:

Given that the triangle, ∆ABC, has 2 congruent sides that are indicated with a single marking on segment AC and segment AB, both segments would be of equal measure.

Therefore, since the measure of segment C is 17 meters, the measure of segment AB = measure of segment AC = 17 meters.

Segment AB = 17 meters. It is congruent to segment AC.

Answer:

13

Step-by-step explanation:

Which equation is correctly rewritten to solve for x?
x/r - s = t A. x = t+s/r B. x= rt + s C. x= r(t + s) D. x= r(t - s)

Answers

Answer:

x=r(t+s)

Step-by-step explanation:

x/r - s = t

x/r=t+s

x=r(t+s)

Answer:

x=r(t+s)

Step-by-step explanation:

hope this helps

Can someone please help?

Answers

Answer:

Multiply by 3, 162

Step-by-step explanation:

2 x 3 is 6.

6 x 3 is 18.

18 x 3 is 54.

54 x 3 is.... you get the deal.

54 x 3 is 162.

Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is for as long as Susan needs the bike . Susan has 250 to rent a bike for 15 days. Does Susan have enough moneyExplain .

Answers

Susan does not have enough money.

20 times 15 will cost $300. Susan only have $250.

I'm not sure if this is correct.

Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represent the height of Alice in m above or below the centre of the Ferris wheel. Relative to the centre of the Ferris wheel, what is the lowest height Alice achieves?

Answers

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

[tex]h(t) = 11\cdot \cos (12\cdot t)[/tex]

Where:

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

[tex]h(t)[/tex] - Height with respect to centre, measured in metres.

If [tex]\cos (12\cdot t) = -1[/tex], then:

[tex]h_{min} = 11\cdot (-1)[/tex]

[tex]h_{min} = -11\,m[/tex]

Alice reaches 11 metres below the centre as lowest height.

Answer: 80m got it on edge

Need help with 6 math problems please

Answers

Answer:

9) 60

10) 16

11) 12

12) 3

13) 60

14) 4

Step-by-step explanation:

9) (2)(5)(6)

   (10)(6)

    60

10) 4(5-1)

     4(4)

     16

11) 3+4+2+6

    7+2+6

    9+6

     12

12) 3- (1-[tex]\frac{6}{6}[/tex])

     3- (0)

     3

13) 5(6+1+6-1)

     5(7+6-1)

     5(13-1)

      5(12)

      60

14) 2-3(1-1)+4

     2-3(0)+4

     -1(0)+4

     0+4

     4

if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2beta + 1​

Answers

Answer:

Step-by-step explanation:

Hello, as alpha and beta are zeroes of

[tex]x^2-x-2[/tex]

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.

The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4

and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is

[tex]\Large \boxed{\sf \bf \ \ x^2-4x-5 \ \ }[/tex]

Thank you.

Determine the standard form of the equation of the line that passes through (-2,0) and (-8,5)

Answers

Answer:  5/6x + 1y = -5/3   or       5x + 6y = -10

 

Step-by-step explanation:

First  you need to write an equation in slope intercept form and convert  it to Standard form. To write an equation in slope intercept form using the coordinates we need to find the slope and the y-intercept.

The slope is the change in y over the change in x.

0-5 = -5

-2-(-8) = 6

Slope  is  -5/6  

  Now find the y intercept   using the formula y =mx + b   where m is the slope and b is the y-intercept.

5 = -5/6(-8) + b

5 = 40/6 +b

-40/6   -40/6

b= -5/3

 So now the equation is  y= -5/6x - 5/3

  So now write it in standard form as  ax+by = c  where x is constant.

 y = -5/6x -5/3

       +5/6x

5/6x + 1y = -5/3  now you can multiply it by 6 to get rid of the fractions.

5/6x(6) + y(6) = -5/3(6)

  5x + 6y = -10

19x + 8 - 7x = 48 - 8x

Answers

Answer:

x = 2

Step-by-step explanation:

19x - 7x + 8x = 48 - 8

20x = 40

20x/20 = 40/20

x =2

Answer:

x=2

Step-by-step explanation:

[tex]19x + 8 - 7x = 48 - 8x \\ ⟹ 12x + 8 = 48 - 8x \\ ⟹ 12x + 8x = 48 - 8 \\ ⟹20x = 40 \\ ⟹ x = \frac{40}{20} \\ ⟹x = 2[/tex]

need the answer asap!! thank you!!!

Answers

Answer: C

Positive and between 0.0 and 0.5

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