Using the graph below, what are the common ratio and the general term equation, an, of the geometric sequence?

Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.

OPTIONS:
r = 1/2, a sub n = -16 (1/2) to the power of n-1
r = −2, an = −16(−2)n − 1
r = 2, an = −16(2)n − 1
r = -1/2, a sub n = -16 (-1/2) to the power of n-1

Option B is correct, y≤1/3x-4 is the  linear inequality which is represented by the graph

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation of line passing through points (3, -3) and (0, -4)

Slope = -4+3/0-3

=1/3

Now let us find y intercept

-4=1/3(0)+b

b=-4

Equation is y=1/3x-4

y≤1/3x-4 is the required inequality of the graph

Hence, y≤1/3x-4 is the  linear inequality which is represented by the graph

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Answer:

advantages of buying:

-you own your own property

-the value of your property may increase over time

-you can improve or decorate your house as you wish

advantages of renting:

-your landlord is responsible for repairs

-you need to pay fewer up-front cost

-paying rent on time helps you build a good credit history

-renting is better if you dont plan to stay long

-you can have roomates to share costs

Answer:

Artaud is 12 years old

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

We are asked to find the estimated digit in the measurement 0.503 L.

We know that in each measurement the estimated digit is always the last digit.

We can see that the first digit in the given measurement is 5, the second digit is 0 and the last digit is 3.

Since the last digit is in our given measurement 3, therefore, the estimated digit is 3.

Answer:

10.0 is the correct answer  

Step-by-step explanation:

[tex]\[ w = 7 \][/tex]

The given equation is [tex]\(\log(w^2+21)=\log(10w)\)[/tex]. To find the solution, we can set the arguments of the logarithms equal to each other, giving [tex]\(w^2 + 21 = 10w\)[/tex].

Rearranging, we get a quadratic equation [tex]\(w^2 - 10w + 21 = 0\).[/tex] Factoring or using the quadratic formula yields the solutions  

However, we need to check for extraneous solutions. Substituting [tex]\(w = 3\)[/tex] back into the original equation results in taking the logarithm of a negative number, which is undefined in the real number system. Therefore, [tex]\(w = 3\)[/tex] is extraneous, and the valid solution is [tex]\(w = 7\).[/tex]

In the detailed explanation, we used the property of logarithms that states [tex]\(\log(a) = \log(b)\)[/tex] implies [tex]\(a = b\)[/tex]. By setting the arguments of the logarithms equal to each other, we obtained a quadratic equation.

Factoring or applying the quadratic formula allowed us to find the solutions. However, we must always check for extraneous solutions by substituting them back into the original equation and ensuring the logarithms are defined for the real number system.

In this case, only [tex]\(w = 7\)[/tex] satisfies the equation without resulting in undefined logarithms.

Answer:

[tex]x=-3+\sqrt{3}[/tex]    , [tex]x=-3-\sqrt{3}[/tex]

Step-by-step explanation:

x2 + 6x + 7 = 0

Solve the equation for x

To solve this we apply quadratic formula

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

a= 1 , b= 6 , c= 7

Plug in all the values in the formula

[tex]x=\frac{-6+-\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-6+-\sqrt{36-28} }{2(1)}[/tex]

[tex]x=\frac{-6+-\sqrt{8} }{2(1)}[/tex]

[tex]x=\frac{-6+-2\sqrt{2} }{2}[/tex]

Divide each term by 2

[tex]x=-3+- \sqrt{3}[/tex]

so we got two value for x

[tex]x=-3+\sqrt{3}[/tex]    , [tex]x=-3-\sqrt{3}[/tex]

Answer:

45 pounds

Step-by-step explanation:

Answer:

First find the unit price for each. Then compare the unit prices. The item that has the lesser unit cost is the better buy.

Step-by-step explanation:

When comparing the costs of two items that are different sizes, use ratios to make a comparison and consider the unit size.

When comparing the costs of two items that are different sizes, you can use ratios to make a comparison. Let's say Item A costs $10 and Item B costs $20. Item A is twice as expensive as Item B. To make the comparison fair, you can also consider the size or quantity of the items. For example, if Item A is twice as expensive but also twice as large as Item B, then the cost per unit size is the same. However, if Item A is half the size of Item B, then Item B is a better deal in terms of size.

Fred's initial deposit, considering a 3.4% interest rate compounded daily over nine years, was approximately $1258.16.

To find Fred's initial deposit, we need to use the formula for compound interest:
A = P(1 + r/n)ⁿᵗ, where:

Here, we know:

We need to find P. Rearrange the formula to solve for P:

P = A / (1 + r/n)ⁿᵗ

Substitute the known values:

P = 1728.57 / (1 + 0.034/365)³⁶⁵×⁹

First, calculate the daily interest rate

0.034 / 365 = 0.00009315

Next, calculate the exponent:

(365 × 9) = 3285

Now, compute (1 + daily interest rate) raised to the power of 3285:

(1 + 0.00009315)³²⁸⁵ = 1.37423

Finally, divide the final amount by this value:

P = 1728.57 / 1.37423 = 1258.16.

Answer: It's 115 I took the k12 test

Step-by-step explanation:

Answer:

The distribution is skewed (either to the left or to the right).

Step-by-step explanation:

Skewness is the measure of how symmetric the distribution of the data is around its mean. It can be skewed either to the left or to the right (meaning that one of the "tails" of the distribution is longer than the other). This means that the mass your data set's observations tends to accumulate more around one extreme of the distribution than around the other.

A strictly symmetric, normal distribution would have a skewness measure of 0.

The total number of nuts in all the cans is found by multiplying the number of cans (45) by the number of nuts in each can (338). Hence, the total number of nuts, n, in all of the cans is 15210.

This problem is related to simple multiplication. Here, you have 45 cans of nuts and each can contains 338 nuts. So if you want to find the total number of nuts in all the cans, you need to multiply 45 (total number of cans) by 338 (number of nuts in each can).

The multiplication is as follows:

45 * 338 = 15210

So, the total number of nuts, n, in all of the cans is 15210.

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Answer:

The expression is 16 + p

Step-by-step explanation:

Algebraic expression is a mathematical phrase that contains numbers and variables with an operation ( addition or subtraction etc. )

Given,

The number of photos Latonya has on her phone = 16,

While p represents the number of photos Luis has in his wallet,

Where p is a variable,

So, the total number of photos = Latonya's photos + Luis's photos

= 16 + p

Hence, the required expression is '16 +p'