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4 years ago

-6 c squared times 2 c squared - 3 C

Mathematics

2 answers:

vekshin14 years ago

8 0

-12c to the fourth power +18c to the third power! :)

il63 [147K]4 years ago

4 0

Do the right side equation first. So 2c squared- 3c. You get 1c. Then you do -6c squared to equal 36. So you multiply that together to equal 36c

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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

8 0

3 years ago

$350 in the ratio 4:3

kherson [118]

Answer:

$200 : $150

Step-by-step explanation:

Sum the parts of the ratio, 4 + 3 = 7 parts

Divide the total by 7 to find the value of one part of the ratio.

$350 ÷ 7 = $50 ← value of 1 part of the ratio

4 parts = 4 × $50 = $200

3 parts = 3 × $50 = $150

8 0

3 years ago

in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is

puteri [66]

Answer:

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0

3 years ago

What is the domain of y= log_4(x+3)? all real numbers less than -3 all real numbers greater than –3 all real numbers less than 3

antiseptic1488 [7]

Step-by-step answer:

The domain of log functions (any legitimate base) requires that the argument evaluates to a positive real number.

For example, the domain of log(4x) will remain positive when x>0.

The domain of log_4(x+3) requires that x+3 >0, i.e. x>-3.

Finally, the domain of log_2(x-3) is such that x-3>0, or x>3.

7 0

3 years ago

if you put a block that is one inch tall, on too another block that is one inch tall, how tall is it?

LUCKY_DIMON [66]

Answer:

Try to put this as 1+1. 2 inches tall.

Step-by-step explanation:

if you put one inch next to another inch, and add them together, they combine, therefore making 2 inches. :) Plz mark Brainliest

7 0

3 years ago

Read 2 more answers