What do you say when you see an empty parrot cage?

The 8th term of a GP is -7/32 find its common ratio if its first term is 28

Ugo [173]

<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

$\text{8}^{th}$ term of a Geometric progression is given as $\dfrac{-7}{32}$ . The first term is given as $28$ .

Any general Geometric progression can be represented using the series $a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}$ .

The first term in such a GP is given by $a$ , common ratio by $r$ , and the $n^{th}$ term is given by $ar^{n-1}$ .

In the given GP, $a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}$

∴ Common ratio is $\dfrac{-1}{2}$ .

5 0

3 years ago

In a math competition, every question that is answered correctly gets a score of 4. Wrong gets a score of -2. and not answered g

11111nata11111 [884]

Answer:

Step-by-step explanation:

First we need to find the score of the incorrect answers and the questions that were not answered.

Score for the incorrect answers = 4*(-2) = -8

Score for the questions not answered = 6*(-1) = -6

Score for the questions answered correctly = 106 - [ (-8) + (-6) ]

= 106 -[-14]

= 106 + 14

= 120

Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer

= 120 ÷ 4

= 30

30 questions were answered correctly.

7 0

2 years ago

Write the equation for the vertical line passing through the point (8, 3).

VLD [36.1K]

Answer:

x=8

Step-by-step explanation:

If it's a vertical line that means it's "sticking straight up" in a sense, so your line would go through all values of 8.

4 0

3 years ago

Read 2 more answers

A student is given the problem: x^3+7x+9. Which of the following statements is false? A. Completing the square cannot be used to

oksano4ka [1.4K]

Answer:

<u>False</u>: C. Completing the square can be used to solve the given equation.

Step-by-step explanation:

First of all, no equation is given. Any answer that suggests a way of finding solutions to the given equation will be false.

The statement of B is debatable. The method of completing the square is most often used for quadratics, but might reasonably be applied in any situation where a perfect square can be created by regrouping the terms.

Statements A and D essentially say the same thing. Both are true. That fact makes statement C false. Statement C is the one you're looking for.

6 0

3 years ago

What is the area of the trapezoid to the nearest tenth? <br> PICTURE BELOW ⬇⬇⬇⬇

Nastasia [14]

Answer:

62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

(8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

(8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

A = (1/2)(b1 +b2)h

A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²

_____

The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite

Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent

6 0

3 years ago