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andrey2020 [161]

2 years ago

14

Write an expression that is equivalent to 2/8b+(3/8b+4/5)

2 answers:

pogonyaev2 years ago

4 0

Answer:

i dont know im wondering to o-o

Step-by-step explanation:

irinina [24]2 years ago

3 0

Answer: 5/8b + 4/5

EXPLAIN: It's too easy explain it yourself. (LOL)

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The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

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CAN SOMEBODY ANSWER SOME OF MY MATH QUESTIONS I POSTED ALREADY?

earnstyle [38]

Answer:

ok ill try

Step-by-step explanation:

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A baby is weighed on a defective scale. He weighed 13 pounds. The baby weighs exactly 10 pounds. What is the percent error?

Eva8 [605]

Answer:

30%

Step-by-step explanation:

The answer is off by 30%, as the scale is off by 3 pounds. 3/10=30

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A wire is to be attached to support a telephone pole. Because of surrounding buildings, sidewalks, and roadways, the wire must

ad-work [718]

This situation is a right triangle with the base measuring 18 and the hypotenuse 22. We are looking for x, the height up the pole that the wire is going to be attached to. We will use Pythagorean's Theorem to find the missing length. $22^2-18^2=x^2$ and $484-324=x^2$ . x^2 = 160 so x = $4 \sqrt{10}$ or 12.65 feet

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