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3 years ago

11

Find the comthon ratio of the geometric sequence 10,60, 360,...

1 answer:

Makovka662 [10]3 years ago

5 0

Answer:

10

Step-by-step explanation:

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Solve for n. 2n +2 > 16<br> A)n=7<br> B)n<7<br> C)n>7<br> D)n<-7

Alex

Inequality : 2n + 2 > 16

2n > 16 - 2
2n > 14
n > 14/2
n > 7

-> Answer C

6 0

2 years ago

Read 2 more answers

If x+a is a factor of 2x²+2ax+5x+10,find a.

vazorg [7]

If $x+a$ is a factor of the polynomial, it means that $-a$ is a root of the polynomial.

In fact, if a polynomial $p(x)$ has a root $x_0$ (i.e. $p(x_0)=0$ ), then the polynomial is divisible by $(x-x_0)$

In your case, you know that the polynomial is divisible by $(x+a)=(x-(-a))$ , so $-a$ is a solution.

Let's evaluate $p(-a)$ and set it to zero:

$2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2$

We can check the answer: if $a=2$ the polynomial becomes

$2x^2+2(2)x+5x+10 = 2x^2+9x+10$

And we're claiming that $-a=-2$ is a root of this polynomial:

$2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0$

5 0

3 years ago

How many molecules of H20 are in 1 mole of H20?

likoan [24]

one mole of water contains 6.02 x 1023 MOLECULES of water. But each molecule of water contains 2 H and 1 O atom = 3 atoms, so there are approximately 1.8 x 1024 atoms in a mole of water.

6 0

3 years ago

FIND VOLUME OF THE PYRAMID pls fast JUST ANSWER DONT EXPLAIN

cluponka [151]

Answer:

V = 211.56 mm

Step-by-step explanation:

The volume of a pyramid :

V = 1/3(Lenght * width * height)

Length = 9mm

Width = 8.2 mm

Height = 8.6 mm

Hence, we have ;

V = 1/3(9 * 8.2 * 8.6)

V = 1/3 * 634.68

V = 211.56 mm

5 0

2 years ago

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the va

Andrew [12]

Answer:

$a = 3.7464$

$b = 16$

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in $a * 10^b$

From the question, we have:

$People = 4.46 * 10^9$

$Breath = 8.4 * 10^6$ breath/person in a year

The number of breath is calculated by:

$Overall = People * Breath$

So, we have:

$Overall = 4.46 * 10^9 * 8.4 * 10^6$

Reorder

$Overall = 4.46 * 8.4* 10^9 * 10^6$

$Overall = 37.464* 10^{9+6}$

$Overall = 37.464* 10^{15}$

Using scientific notation $a * 10^b$ ;

The value (a) must be in the following interval $0 \le a \le 1$

So, we have:

$Overall = 3.7464 * 10 * 10^{15$

$Overall = 3.7464 * 10^{16$

By comparing the above with: $a * 10^b$

$a = 3.7464$

$b = 16$

7 0

3 years ago