8.6E-10 in standard form

Your monthly living expenses are $1500 on an income of $1,650 per month. Your goal is to have an emergency fund of 4 times your

DochEvi [55]

Your end goal is to have $6000 total in 12 months. since you have $2400 already you can subtract that from 6000 leaving you with $3600 over the course of 12 months. since you already put $150 in a month over the course of 12 months you would have $1800 which is only half of the goal of $3600. in order for you to put in $3600 you would have to put an additional 150 in your savings along with your regular 150 making the answer b.

6 0

3 years ago

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Simplify the expression -6(a+8) step by step please please please help me asap

Sauron [17]

Distributive property. -6 x a plus -8 x 8 = -6a -48

3 0

3 years ago

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Hey can you please help me posted picture of question

zubka84 [21]

By observing the graph we can see that G(x) is obtained by shifting F(x) 2 units to the right.

A horizontal shift is indicated by addition/subtraction to x rather than the function.

A right shift is indicated by subtracting the number from x. So a right shift of F(x) will be indicated by F(x-2)

Thus,

G(x) = F(x-2)

G(x) = (x-2)²

So, the answer to this question is option B

8 0

3 years ago

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Can someone please help me with this question? I have been stuck on it for a while now

frez [133]

Answer:

w = 12 cm and l = 20 cm

Step-by-step explanation:

3 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago