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3 years ago

4. A bottle contains 68 teaspoons of solution. The solution drops out of the bottle

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

Answer:

The rate of solution change is 2/3 teaspoons per minute

Step-by-step explanation:

Here, we want to calculate rate

From what we have in the question,

68 teaspoons of solution dropped out entirely within 102 minutes

So the rate is takes to drop out per minute will be:

68/102 = 2/3 teaspoon per minute

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lutik1710 [3]

Answer: a) An = An-1 + An-2

b) 55ways

Step-by-step explanation:

a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.

Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that

An = 5n cents

Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;

An-1 = 5( n-1)

Case 2: using a dime which is two 5 cents, the number of ways is given as;

An-2 = 5(n-2)

Summing up the number of ways, we have

An = An-1 + An-2

From the relation,

If n= 0, Ao= 1

n =1, A1= 1

b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)

From the relation, we have that

Ao = 1

A1 = 1

An =An-1 + An-2

Ao = 1

A1 = 1

A2 = A1+Ao = 1+1= 2

A3 = A2 + A1 = 3

A4 = A3+A2=5

A5=A4+A3=8

A6=A5+A4=13

A7 =A6+A5 = 21

A8= A7+A6= 34

A9= A8+A7= 55

So there are 55ways to pay 45cents.

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2 years ago

Mary estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error fo

Eduardwww [97]

Answer:

The percent error is 40%.

Step-by-step explanation:

5 (actual time) - 3 (estimated time) = 2

2 divided by 5 (actual time) = 0.4

0.4 x 100 = 40%

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2 years ago

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

IrinaK [193]

1.The sample is biased because it does not represent the population.

2.The question is biased toward a Yes response.

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3 years ago

Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to ma

zhenek [66]

Answer:

Alternative hypothesis 1: the mean amperage at which the fuses burn out is > 40 amperes.

Alternative hypothesis 2: the mean amperage at which the fuses burn out is < 40 amperes.

Step-by-step explanation:

Recall that the null hypothesis is the fact you want to refute and is in doubt.

So, in this specific case, the null hypothesis would be that the mean amperage at which the fuses burn out is 40 amperes.

The alternative hypothesis are those that want to refute the null hypothesis, in this case there are 2:

Alternative hypothesis 1: the mean amperage at which the fuses burn out is > 40 amperes.

Alternative hypothesis 2: the mean amperage at which the fuses burn out is < 40 amperes.

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2 years ago

Evaluate the indefinite integral. (Use C for the constant of integration.) ex 5 ex dx.

melisa1 [442]

Answer:

$5 e^{x} +C$

where C is constant of integration

Step-by-step explanation:

Explanation:-

Given f(x) = 5 eˣ

Now integrating with respective to 'x' , we get

I = $\int\limits {5 e^{x} } \, d x$

By using integration formula

$\int\limits { e^{x} } \, d x = e^{x} +C$

$I = \int\limits {5 e^{x} } \, d x = 5 e^{x} +C$

where C is constant of integration

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3 years ago