please help me with functions​

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

The surface area of the rectangular prism is 1476 square units

From the question, we have the following parameters that can be used in our computation:

30 mm by 12 mm by 9 mm

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)

Evaluate

Area = 1476

Hence, the area is 1476 square units

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Answer:

a and d

Step-by-step explanation:

brainliest if you want :)

Answer:

A or 18 – 0.25(18)

and

D or 0.75(18)

Step-by-step explanation:

Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)

The margin of error for 16 eggs with sample means 2 ounce and standard deviation as 42 ounces is   18.407   .

In the question ,

it is given that ,

the number of eggs = 16

the sample means weight is = 2 ounce .

the standard deviation is = 42 ounces .

we have to find the margin of error .

degree of freedom is 16 - 1 = 15 .

and the t score for the 90% confidence interval is

t₁₅,₀.₀₅ = 1.753

So , the margin of error is =  t₁₅,₀.₀₅×(standard deviation/√n)

Substituting the values ,

we get ,

= 1.753×(42/√16)

On simplifying further ,

we get ,

= 18.407

Therefore , the margin of error is = 18.407 .

The given question is incomplete , the complete question is

A sample of 16 eggs yields a sample mean weight of 2.00 ounces and a sample standard deviation = 42.0 ounces, find the margin of error in estimating a confidence interval estimate at the 90% level of confidence. Round your answer to three decimal places. You may assume that egg weights are normally distributed .

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Hope this helps!! :]

Answer:.

Step-by-step explanation:

Answer:

240 m

Step-by-step explanation:

Rate = 2m/s

Seconds in 1 min = 60

Seconds in 2 min = 2  x 60 = 120  sec

Distance in 2 min = 2 x 120 = 240 m

I hope im right!!!

50

Step-by-step explanation:

plot it on the number line

Answer:

<2 and <8

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

128 + 52 = 180

Answer:6.3 i believe

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

circumference = 2πr

arc length  = (included angle/360) * circumference

as an equation

s = (θ/360) * 2πr

s = (θ/180)πr

---------------------------

θ = 45

r = 8

s = (45/180) * 3.14 * 8

s = 6.28

rounded

s = 6.3

Answer:

$11.59

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer: the teacher is 43

Step-by-step explanation: if you take 11 and multiply it by 15 you get 165 if you take 208 and divide it by 16 you get 13.

so basically you subtract 208 from 165 to get 43

Answer:

do you mean 8ab-11ab+6ab

if it is then ur ans is 3ab

Answer:

how much do the hats cost

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.

To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.

In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:

x + 30 = (2n + 1)π

Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:

x = (2n + 1)π - 30

This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.

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Answer: Can't Say for sure but probably it is so I would Say Yes.

The amount that should be deposited monthly is $286.66.

The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.

The monthly deposit can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

FV (Future Value) = $20,000

Results:

Monthly Deposit = $286.66

Sum of all periodic deposits = $17,199.36

Total Interest = $2,800.64

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Answer: Let your no.= x

double the number=2x

add 4 = 2x+4

subtract same number=2x+4-x

subtract 3=2x+4-x-3

I get my number plus 1=x+1

so equation we get

2x+4-x-3=x+1

x+1=x+1

x=x

it means  x is equal to all real number

So your number can be any real number

The value of m + n is 53.

Let's consider the first roll "a". The second, third, and fourth rolls will be represented as "b", "c", and "d".

The first roll of a can be any integer from 1 to 6.

For the second roll of b, there are 5 possible integers that are greater than or equal to the first roll "a".

For the third roll of c, there are 4 possible integers that are greater than or equal to the subsequent roll "b".

For the fourth roll of d, there are 3 possible integers that are greater than or equal to the third roll "c".

Thus, the total number of possible outcomes that meet the rules is 6 * 5 * 4 * 3 = 360.

The total number of possible outcomes for rolling a fair die multiple times is 6 * 6 * 6 * 6 = 1296.

This is how the probability of every one of the last three rolls being in some measure as extensive as the roll going before it is 360/1296, which can be improved to 5/18.

In this way, m + n = 5 + 18 = 23.

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Answer:

M

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

Answer:

6.2 approx i believe

Step-by-step explanation: