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3 years ago

What is the common ratio for the sequence 5,-10,20,-40?

Mathematics

1 answer:

algol [13]3 years ago

8 0

Answer:

The COMMON RATIO of the sequence is -2.

Step-by-step explanation:

Here, the given sequence is:

5, -10, 20 ,-40

Here, The first term ( a 1 ) of the sequence is (5)

The second term (a 2) of the sequence is (-10)

Third term of sequence (a 3) is 20

Now, calculating the common ratio (r) of sequence ,we get:

$\frac{a_2}{a_1} = r = (\frac{-10}{5}) = -2\\\frac{a_3}{a_2} =r = (\frac{20}{-10}) = -2$

So, here r =(-2)

⇒ The COMMON RATIO of the sequence is -2.

Hence, the given sequence in in GEOMETRIC PROGRESSION.

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Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed

zalisa [80]

Answer:

Tonya proof is correct
and Pearl proof is wrong

Step-by-step explanation:

AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.

But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.

The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation

8 0

2 years ago

The number of calories burned at the gym is normally distributed with a mean of 425 and a standard deviation of 51. Find the Z-s

Galina-37 [17]

Answer:

(a) -3.708

(b) 1.706

(c) 0.490

Step-by-step explanation:

The z-score of normal distribution is given as:

$z=\frac{x-\mu}{\sigma}$

(a)

Given:

Score is, $x=268$

Mean value is, $\mu =425$

Standard deviation is, $\sigma = 51$

z-score is, $z=\frac{268-425}{51}=\frac{-157}{51}=-3.078$

(b)

Given:

Score is, $x=512$

Mean value is, $\mu =425$

Standard deviation is, $\sigma = 51$

z-score is, $z=\frac{512-425}{51}=\frac{87}{51}=1.706$

(c)

Given:

Score is, $x=450$

Mean value is, $\mu =425$

Standard deviation is, $\sigma = 51$

z-score is, $z=\frac{450-425}{51}=\frac{25}{51}=0.490$

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3 years ago

Combine the complex numbers

scoundrel [369]

Where is the insert image?

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4 years ago

Let f(x)=7x+4 find each value <br> A. f(x) when x = -8 <br> B. f(3) <br> C. x when f(x) = 67

maks197457 [2]

Answer:

f(x)=7x+4

When x=-8

f(-8)=7·(-8)+4=-56+4=-52

When x=3

f(3)=7·3+4=21+4=25

When f(x)=67, then :

7x+4=67

7x=63

x=9

8 0

2 years ago

if a rectangle has a length =p and a width =p+4, what is the area of the rectangle. what is the perimeter?

sergij07 [2.7K]

The area of a rectangle can be found by multiplying the length times the width, or A = l * w. The perimeter of the rectangle can be found by adding together the length twice and the width twice. From the given information, we know that l = p and w = p + 4, where l represents the length of the rectangle and w represents the width of the rectangle.

A = l * w = p(p+4) = p^2 + 4p

P = 2l + 2w = 2(p) + 2(p+4) = 2p + 2p + 8 = 4p + 8

Therefore, the area of the rectangle is p^2 + 4p and the perimeter of the rectangle is 4p + 8.

Hope this helps!

5 0

3 years ago

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