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2 years ago

14

Question 5(Multiple Choice Worth 2 points)

1 answer:

Gemiola [76]2 years ago

3 0

Answer: 4 i square root of 3

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The first term of geometric sequence is 7 and the common ratio is -2. Find the 9th term.

kobusy [5.1K]

$a_{1}$ = 7.

Ratio means multiply/divide.
To get the next number, multiply number by common ratio.
To get a previous number, divide by common ratio.

Since we want the next number...
2nd term: 7 x -2 = -14
3rd term: -14 x -2 = 28
4th term: 28 x -2 = -56
5th term: -56 x -2 = 112

Keep going until 9th term!

5 0

3 years ago

The rate of change of the volume of a snowball that is melting is proportional to the surface area of the snowball. Suppose the

Alisiya [41]

Answer:

According to the passage, we have the next equation:

$\frac{dV}{dt} = \frac{4}{3}\pi*3*r^{2}*\frac{dr}{dt} = K*(4\pi*r^{2} )$

where "K" is a proportional constant

Leaving at the end with the next equation:

$\frac{dr}{dt} = K$

Integrating the equation, we have:

$r=K*t+C$

where "C" is a constant

Then, we have the 2 conditions for the problem:

1) t=0 → r=10

Replacing in the equation, we have C = 10

2) t=5 → r=8

Replacing in the equation, we have K = -0.4

Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation

$0=-0.4*t+10$

t = 25 minutes

6 0

3 years ago

-6.5 = z/3 I’m sooo confused.

OLEGan [10]

Answer: z = -19.5

Step-by-step explanation:

-6.5 = z/3

-19.5 = z Multiply 3 to both sides

5 0

3 years ago

Read 2 more answers

Sarah currently earns $18.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 20% raise. How much wi

xenn [34]

Answer:

30 dollars a hour

Step-by-step explanation:

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3 years ago

Valerie deposits $1,900 in an account that

horrorfan [7]

Answer:

$2273.19

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Compound Interest Rate Formula: $\displaystyle A = P(1 + \frac{r}{n})^{nt}$

A is final amount
P is principle amount
r is rate
n is compound rate
t is time (in years)

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

P = $1900

r = 3% = 0.03

n = 4

<u>Step 2: Solve for </u><em><u>A</u></em>

Substitute [CIRF]: $\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}$
(Parenthesis) Divide: $\displaystyle A = 1900(1 + 0.0075)^{4(6)}$
(Parenthesis) Add: $\displaystyle A = 1900(1.0075)^{4(6)}$
(Exponents) Multiply: $\displaystyle A = 1900(1.0075)^{24}$
Exponents: $\displaystyle A = 1900(1.19641)$
Multiply: $\displaystyle A = 2273.19$

5 0

3 years ago