Multiply 2a by(3a+7)

Find an explicit rule for the nth term of the sequence.

taurus [48]

Answer: -4 . 2ⁿ⁻¹

Step-by-step explanation: This is a geometric progression

the nth term is given by arⁿ⁻¹

a = the first term of the sequence

r = common ratio

n= number of terms

for this sequence

a = -4

r = -8/-4 = 2

nth term, an = -4 . 2ⁿ⁻¹

3 0

3 years ago

Gino studied 3/4 hour for his test on Monday. He studied another 2/4 hour on Tuesday. How long did he study in all?

dybincka [34]

Gino studied for 5/4 hours in all. To get this, do 3+2 for the numerator and just put 4 as the denominator. (Four just stays the same the denominator is all fours. If you want more details just put it on comments.) Now you have the answer: 5/4 hours.

8 0

2 years ago

1) work out the value of (1.7x10^4)x (8.5x10^-2) give your answer in standard form.

Mashutka [201]

ANSWER TO QUESTION 1

$(1.7\times 10^4)\times(8.5\times 10^{-2})$

We rewrite to obtain;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=(1.7\times 8.5)\times(10^4\times 10^{-2})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{4+-2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{2}$

We need to rewrite this in standard form;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^1\times10^{2}$

We apply the product law again to get

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{1+2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{3}$

ANSWER TO QUESTION 2

$(6.8\times 10^2)\times(1.3\times 10^{-3})$

We rewrite to obtain;

$(6.8\times 10^2)\times(1.3\times 10^-3)=(6.8\times 1.3)\times(10^2\times 10^{-3})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{2+-3}$

This simplifies to

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{-1}$

This is already in standard form.

8 0

3 years ago

I need help due by tomorrow

Flauer [41]

Can you tell me the options first and the formula C=Y

6 0

3 years ago

Read 2 more answers

Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the

MAVERICK [17]

Complete question :

Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.

Millitary status _________ female ____ Male

In armed forces _________ 28 _______ 59

Millitary dependent ______ 928 ______ 781

Civilian _______________ 26393 ___27330

Answer:

Male = 0.4193

Female = 0.5087

Step-by-step explanation:

To obtain the marginal distribution of gender :

Total number of civilians (male + female)

(26393 + 27330) = 53,723

Male :

P(male) = number of male / total

P(male) = 26393 / 53,723 = 0.4912793

P(Female) = number of Female / total

P(Female) = 27330 / 53,723 = 0.5087206

3 0

2 years ago

Multiply 2a by(3a+7)​

Multiply 2a by(3a+7)