An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. With the given information, which of these statements is a reasonable conclusion? There will be 24 milliliters of water in the bucket after 16 hour. There will be 60 milliliters of water in the bucket after 14 hour. There will be 160 milliliters of water in the bucket after 20 minutes. There will be 100 milliliters of water in the bucket after 40 minutes.

Answers

Answer 1
Answer:

the answer is true i think

Answer 2
Answer:

Answer:

it is true

Step-by-step explanation:


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How do I solve r+11+8r=29

Answers

The solution to the equation r + 11 + 8r = 29 is r = 2.

What is the solution to the equation?

Given the equation in the question:

r + 11 + 8r = 29

To solve the equation r + 11 + 8r = 29, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:

r + 11 + 8r = 29

Collect and add like terms:

r + 8r + 11 = 29

9r + 11 = 29

Subtract 11 from both sides of the equation:

9r + 11 - 11 = 29 - 11

9r = 29 - 11

9r = 18

Isolate r by dividing both sides by 9:

r = 18/9

r = 2

Therefore, the value of r is 2.

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r+11+8r=29
    -11      -11
r+8r=18
   +1=18
    9r=18
        r=2

A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 toppings?

Answers

  You need to "choose" three toppings, which means you need to do a combination (versus a permutation, which would only be needed if you cared about the order that the toppings are added to the pizza, which you obviously don't care about). The combination formula is n!/(r!(n-r)!). 
12!/(12-3)!(3!)= 220 ways to choose toppings. 
**know that ! Means 12*11*10*9...*3*2*1 

Then multiply that by the 6 cheeses to get 220*6 = 1,320 ways. (Each choice of three different toppings can be paired with six different choices for cheese)

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction.A. 4/10
B. 2/5
C. 42/48
D. 245/1152

Answers

the answer is B.2/5
flip 35/48 so it looks like this 48/35 then chance the divide symbol and put the multiply symbol 7*48=336, and 24*35=840. your answer is 336/840 then simply reduce to get 2/5. 
  7          35
------  ÷  --------  =  ?
 24         48

 48
------
 35 

  7         48        
------- × -------- 
  24       35 

7 × 48 = 336

24 × 35 = 840

 336        2
-------- =  -------
 840        5

SO, Your answer would be B. 2/5.

  7        35        2
------  ÷ ------- = -------  
(Simplest Form) 
 24        48       5

Hope I helped:P

Five more than seven times a number is ninety-six. What is the number?Type an equation and solve

Answers

Answer: the answer to this problem is 13!

Step-by-step explanation: To solve this problem, we must work backward. So the last step we did in this problem was adding five to the number, so to work backward we must subtract 5 from 96 to get 91. Now then the last step was to multiply by seven and since we are working backward, we must divide by seven to get our original number 13.

This is the equation: (13*7)+5

Hope this helped :)

Determine the inverse for the function f(x)= 4x+20

Answers

Answer:

6.40

Step-by-step explanation:

Paul opened a bakery. The net value of the bakery (in thousands of dollars) ttt months after its creation is modeled by v(t)=2t^2-12t-14v(t)=2t 2 −12t−14v, left parenthesis, t, right parenthesis, equals, 2, t, squared, minus, 12, t, minus, 14 Paul wants to know what his bakery's lowest net value will be. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Answers

Given:

The net value of the bakery (in thousands of dollars) t months after its creation is modeled by

v(t)=2t^2-12t-14

Paul wants to know what his bakery's lowest net value will be.

To find:

The function in a different form (factored or vertex) where the answer appears as a number in the equation.

Solution:

Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.

We have,

v(t)=2t^2-12t-14

v(t)=2(t^2-6t)-14

Adding and subtract square of half of 6 in the parenthesis, we get

v(t)=2(t^2-6t+3^2-3^2)-14

v(t)=2(t^2-6t+3^2)+2(-9)-14

v(t)=2(t-3)^2-18-14               [\because (a-b)^2=a^2-2ab+b^2]

v(t)=2(t-3)^2-32

Vertex form:

f(x)=a(x-h)^2+k

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the of the function is (3,-32).

Therefore, the vertex form is v(t)=2(t-3)^2-32 and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.

Given that,

Paul opened a bakery.

The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.

Paul wants to determine the bakery's lowest net value.

To rewrite the function in a different form,

Find the vertex of the quadratic equation.

The vertex form of a quadratic equation is given by,

v(t) = a(t-h)² + k,

Where (h, k) represents the coordinates of the vertex.

Proceed, v(t) = 2t² - 12t - 14,

v(t) = 2(t² - 6t) - 14,

v(t) = 2(t² - 6t + 3² - 3²) - 14

v(t) = 2(t - 3)² - 32

Vertex form:

v(t) = a(t-h)² + k,

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the function is (3,-32).

Therefore,

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.

To learn more about quadratic equations visit:

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