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swat32
3 years ago
7

How do u solve 1.2= k over 4

Mathematics
2 answers:
salantis [7]3 years ago
8 0

1.2 = k/4

multiply both sides by 4,

1.2*4 = k

k = 4.8

Brrunno [24]3 years ago
5 0
(1.2/1) = k/4
=> (4.8/4) = k/4
=> k=4.8
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A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the
katovenus [111]

Answer:

The sequence is geometric. The recursive formula is a_{n}=2/3a_{n-1}

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

1452(1-\frac{1}{3})=1452(\frac{2}{3})=968

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

a_{n}=ra_{n-1}

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0
3 years ago
Which of the following represents the correct calculation of the sampling interval?
Goshia [24]

Answer:

The correct answer is

d. Sampling Interval = Population size ÷ Sample size.

Step-by-step explanation:

According to Johnstone et al., (2014) "<em>Once the auditor has determined the appropriate sample size, a sampling interval is calculated by dividing the population size by the sample size.</em>"

Thus,

Sampling Interval = Population size ÷ Sample size.

Johnstone, K., Rittenberg, L. and Gramling, A. (2014). <em>Auditing: A Risk-Based Approach to Conducting a Quality Audit.</em> Ninth Edition.

4 0
3 years ago
This is very hard for me I need to know how to do it
insens350 [35]

The zeros of a function are the values of x that make the function be equal to zero.

When graphing a quadratic equation, the graph is a parabola, and the zeros of the function are the x-intercepts of the graph, which are the points where the graph intersects the x-axis.

So, if the zeros of this function are x = -8 and x = 2, that means the parabola crosses the x-axis at x = -8 and x = 2.

Therefore the correct option is the first one.

6 0
1 year ago
The price of an item has been reduced by 30%. The original price was $20. What is the price of the item now?
Ludmilka [50]

Answer:

$14

Step-by-step explanation:

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7 0
3 years ago
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At full price, Melvin would pay 1.6791.6791, point, 679 dollars per liter of gasoline. Using his loyalty card, Melvin only pays
aksik [14]

Answer:

$0.24

Step-by-step explanation:

Given:

At full price, Melvin would  pay for per liter of gasoline =  $1.679

Using his loyalty card, Melvin only pays = $1.439

Question asked:

How much less does Melvin pay per liter using his loyalty card?

Solution:

At full price, Melvin would  pay for per liter of gasoline =  $1.679

Using his loyalty card, Melvin only pays = $1.439

To find that that how much less amount Melvin pay for per liter of gasoline using his loyalty card, we will subtract the payment using loyalty card from payment without using loyalty card.

$1.679 -  $1.439 = $0.24

Therefore, $0.24 less amount Melvin pay for per liter of gasoline using his loyalty card.

5 0
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