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3 years ago

Which mixed number is greater than 6.78?

Mathematics

1 answer:

Mademuasel [1]3 years ago

3 0

D because D as a non-fraction is 6.8

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What is the common ratio and explicit formula for -2,6,-18,54?

Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

$=\frac{6}{-2}$

$=-3$

Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

$=\frac{-18}{6}$

$=-3$

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

6 0

2 years ago

Suppose that a car normally sells for $16,500 and now on sale ft $14,000. What is the percent of discount? If necessary round yo

krek1111 [17]

Percentage increase/decrease is given by (the difference ÷ original value) × 100

The decrease in value is 16500 - 14000 = 2500

The percentage decrease = (2500÷16500) × 100 = 15.2%

5 0

3 years ago

A truck is carrying a cars weighing an average of 4500 pounds each what is the total weight in tons of cars on the truck

Yuliya22 [10]

Answer:

2.25 tons

Step-by-step explanation:

It is a conversion problem. The connection between ton and pound is in the following order:

1 pound = 0.0005 tons

By multiplying each side by 4500 we can easily find the answer of this problem:

4500 pounds = 2.25 tons

4 0

3 years ago

What’s 3/5y+(-6/5y)=

sladkih [1.3K]

Answer:

-3y/5

Step-by-step explanation:

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

Since the denominator is the same, we can add the numerators

3y - 6y

----------------

-3y/5

4 0

3 years ago

Read 2 more answers

Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

Annette [7]

The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3><u>Solution:</u></h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

<em><u>The equation of circle is given as:</u></em>

$(x - h)^2 + (y - k)^2 = r^2$

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

6 0

2 years ago