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2 years ago

In a geometric sequence, the ratio between consecutive terms is _____ constant?

2 answers:

6 0

<span><span><u>Answer.
</u>Always

<u>Explanation</u>
In a geometric sequence, the ratio of consecutive term is always a constant number. This means that if a, b, c, d, …. is a geometric sequence, then;
b/a=c/b=d/c……
So, to complete the statement above,
In a geometric sequence, the ratio of consecutive term is </span>ALWAYS<span> constant.
</span></span>

user100 [1]2 years ago

4 0

for apex the correct answer is constant

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tigry1 [53]

Hey there!

<h2>ANSWER: $f=-16$ </h2><h2>EXPLANATION:</h2>

$\frac{f}{4}-5=-9$

Simplify both sides and you get:

$\frac{1}{4}f-5=9$

Now add 5 to both sides and you get:

$\frac{1}{4}f=-4$

Now you have to multiply both sides and you get:

$f=-16(ANSWER)$

Hope this helps!

$\text {-TestedHyperr}$

6 0

2 years ago

Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mea

lana66690 [7]

Answer:

B) 7 feet is the median (center) and 5 is the range (spread)

Step-by-step explanation:

spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)

6 0

2 years ago

Are 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds Equivalent

Andre45 [30]

Answer:

1.133.

Step-by-step explanation:

Yes because if you divide 17 by 15 you get about 1.133 and if you divide 68 by 60 you also get about 1.133.

4 0

2 years ago

Read 2 more answers

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

2 years ago

Does every line have a slope and y-intercept?Explain.

Sophie [7]

Answer:

Step-by-step explanation:Yes they both do, If u get the the number from the y-intercept and put it in the graph. and then get the slope if it is a decimal (Rise/Run) Put it in the then you have the answer

3 0

2 years ago