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3 years ago

Which sequence are geometric? Check all that apply

Mathematics

1 answer:

Ann [662]3 years ago

5 0

Answer:

Step-by-step explanation:

$\text{If}\ a,\ b,\ c,\ d,\ e,\ ...\ \text{is a geometric sequence, then}\ \dfrac{b}{a}=\dfrac{c}{b}=\dfrac{d}{c}=\dfrac{e}{d}=....\\\\\#1\\\\\dfrac{7.5}{10}=0.75\\\dfrac{5.625}{7.5}=0.75\\\dfrac{4.21875}{5.625}=0.75\\\boxed{YES}\\================================\\$

$\#2\\\\\dfrac{40}{160}=\dfrac{1}{4}\\\dfrac{10}{40}=\dfrac{1}{4}\\\dfrac{2.5}{10}=\dfrac{1}{4}\\\boxed{YES}\\================================\\$

$\#3\\\\\dfrac{70}{20}=3.5\\\dfrac{245}{70}=3.5\\\dfrac{857.5}{245}=3.5\\\boxed{YES}\\================================\\$

$\#4\\\\\dfrac{16.5}{13}=\dfrac{165}{130}=\dfrac{33}{26}\\\dfrac{20}{16.5}=\dfrac{200}{165}=\dfrac{40}{33}\neq\dfrac{33}{26}\\\boxed{NO}\\================================\\$

$\#5\\\\\dfrac{5.5}{5}=1.1\\\dfrac{6.05}{5.5}=1.1\\\dfrac{6.655}{6.05}=1.1\\\boxed{YES}\\================================\\$

$\#6\\\\\dfrac{17.1}{16}=1.06875\\\dfrac{18.2}{17.1}=1.0643274..\neq1.06875\\\boxed{NO}$

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Zinaida [17]

Mult. f(x) = x^4 by 2 will stretch the graph vertically by a factor of 2.
Thus, eliminate (a) and (b).

Mult. x by (1/4) will stretch the graph horiz. by a factor of 4. Thus, (c) is the correct answer.

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3 years ago

Change the following mixed number to an improper fraction. Reduce if possible.<br><br> 7 81/1000

pogonyaev

The answer is 7081/1000

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2 years ago

Read 2 more answers

The rectangle below has an area of c^2-4x-12 square meters and a length of x+2 meters what expression represents the width of th

Korolek [52]

Answer:

Width = $\frac{c^2 - 4x - 12 }{x+2}$

Step-by-step explanation:

All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.

Area = length * width

We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.

(c^2 - 4x - 12) = (x + 2) * w

(c^2 - 4x - 12) = w(x +2)

Divide both sides by (x+2) so w can stand alone.

$\frac{c^2 - 4x - 12}{x+2} = \frac{w(x+2)}{x+2}$

w = $\frac{c^2 - 4x - 12 }{x+2}$

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2 years ago

What is the place value of the 6 in 3.651

mixer [17]

Answer:

6 tenth

Step-by-step explanation:

Place values of numbers are the values such number represents in a given number. Example, we have tens, hundreds units etc.

To obtain the value of 6 in 3.651 we have to find the decimal place equivalent of 6 in the expression.

6 in 3.651 = 6/10

= tenth

Therefore the place value of 6 in 3.651 is the first decimal place which is 6 tenth

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3 years ago

Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);

Trava [24]

Answer:

select answers: A), B), C), D), and E)

Step-by-step explanation:

Please see attached image with the figure obtained by joining the given points.

Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:

rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.

Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)

Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.

Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.

Therefore you need to select answers: A), B), C), D), and E)

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3 years ago