help lol, show wurk cuz u know how teachers are these days

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

10x + 1

Step-by-step explanation:

First, combine any like terms. Then make sure to rewrite in descending order.

3x + 7x + 1 <== combine any like terms

10x + 1 <== arrange in descending order

Hope this helps!

Answer:

(5,-5)

Step-by-step explanation:

Eliminate y-term

\((2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5\)

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

Substitute x = 5 in any given equations.

I will choose to substitute in the first equation.

\(2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5\)

Answer Check

Substitute both x-value and y-value in any given equations

\(2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25\)

The equation is true. (It is better to check both the answer for both equation.)

Thus the answer is (5,-5)

Social researchers treat gender identity, ethnicity, race, income, and education as independent variables because they are all significant subject factors.

What is an example of an independent variable?

It is an independent variable that doesn't alter as a result of the other variables you're attempting to assess. An independent variable could be something like a person's age.

                          Other elements (such as what they consume, how much they attend school, and how much television they watch) won't alter a person's age.

What distinguishes a variable from a dependent one?

The cause is the independent variable. The other factors in your study have no bearing on its value. Effect is the dependent variable.

                             Changes in the independent variable affect how much it is worth. Characteristics called variables can have various values.

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Answer:

Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Step-by-step explanation:

Given that:

Total number of shrimp contained in the bag of Emily = 75

Number of skewers available = A dozen

A dozen means 12.

Therefore, there are 12 number of skewers available.

Each skewer can have = 5 number of shrimp

Total number of shrimp on the 12 skewers = 12 \(\times\) 5 = 60

Total number of leftover = Total number of shrimp in the bag - Total number of shrimp on the 12 skewers = 75 - 60 = 15

Therefore, Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Answer:

Step-by-step explanation:

I figured this out with calculus since it's easier that way. The position function for the ball is

\(s(t)=-16t^2+64t+2\). The first derivative of position is velocity, so we need to find the first derivative of the position function which is

v(t) = -32t + 64

Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:

\(s(2)=-16(2)^2+64(2)+2\) and

s(2) = 66 feet. The max height of the ball is 66 feet.

Initial length = 72 cm

Stretched length = 90 cm

Find the increased in length:

increase = 90 - 72 = 18

Find the percentage increase:

Percentage increase = change/original x 100

Percentage increase = 18/72 x 100 = 25%

Answer: The elastic band's length is increased by 25%

Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Answer:

2.1

Step-by-step explanation:

Simplifying

3.4 + -2.8d + 2.8d + -1.3 = 0

Reorder the terms:

3.4 + -1.3 + -2.8d + 2.8d = 0

Combine like terms: 3.4 + -1.3 = 2.1

2.1 + -2.8d + 2.8d = 0

Combine like terms: -2.8d + 2.8d = 0.0

2.1 + 0.0 = 0

2.1 = 0

Solving

2.1 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

The wonderful waffle cone holds more ice cream than super sundae cone.

In this question,

The ice cream cone is the shape of hemisphere at the top and cone shape at the bottom.

Volume of ice cream cone = volume of hemisphere + volume of cone

Volume of ice cream cone = \(\frac{2}{3}\pi r^{3} +\frac{1}{3} \pi r^{2} h\)

Volume of super sundae cone:

Radius of hemisphere = height of hemisphere = 0.5 in

Depth of the ice cream cone = 4 in

Volume of super sundae cone = \(\frac{2}{3}\pi (0.5)^{3} +\frac{1}{3} \pi (0.5)^{2} (4)\)

⇒ \(\frac{2}{3}(3.14)(0.125) +\frac{1}{3} (3.14)(0.25)(4)\)

⇒ 0.2616+1.0466

⇒ 1.3082 ≈ 1.31 cubic in.

Volume of wonderful waffle cone:

Radius of hemisphere = height of hemisphere = 0.9 in

Depth of the ice cream cone = 3 in

Volume of wonderful waffle cone = \(\frac{2}{3}\pi (0.9)^{3} +\frac{1}{3} \pi (0.9)^{2} (3)\)

⇒ \(\frac{2}{3}(3.14)(0.729) +\frac{1}{3} (3.14)(0.81)(3)\)

⇒ 1.526+2.5434

⇒ 4.0694 ≈ 4.07 cubic in.

Thus volume of wonderful waffle cone > volume of super sundae cone.

Hence we can conclude that the wonderful waffle cone holds more ice cream than super sundae cone.

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To fix the Home Assistant error "you don't seem to be in control of any dashboard, please take control first",

Follow these steps:

STEP 1: Open your Home Assistant interface in a web browser.
STEP 2: Click on the "Configuration" tab in the left-hand sidebar.
STEP 3: Under the "Dashboards & Views" section, click on "Dashboards".
STEP 4: If you don't see any dashboard listed, click on the "+" icon to create a new dashboard. If you already have a dashboard, click on the edit icon (pencil) next to it.
STEP 5. Make sure the "Visible" and "Show in Sidebar" options are enabled. If not, enable them and click on "Save".
STEP 6. Ensure that you have the appropriate permissions to control the dashboard. You may need to check your user profile or ask the Home Assistant administrator to grant you the required permissions.
STEP 7. After completing these steps, you should have control over a dashboard in your Home Assistant interface.

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ANSWER

372 grams

EXPLANATION

The half life of the substance is 11 days.

We want to find how much will be left after starting with 1488 grams for 22 days.

To do that, apply the formula for half life:

where N = amount of substance left

N0 = initial amount of substance

t = amount of time

t1/2 = hlaf life

Therefore, for the given substance, the amount that will be left after 22 days is:

Answer:

Step-by-step explanation:

The area of the equilateral triangle is \(\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}\)

Of these 12 individuals: Expected number of survivors ≈ 4.

Based on the given information, the chance of survival for the 12 people admitted to the hospital who tested positive for the disease is 30%.

If the chance of survival for a person who tests positive for the disease is 30%, and 12 people have been admitted and tested positive for the disease, then the expected number of survivors is 30% of 12, which is 3.6.

However, since it is not possible for 0.6 of a person to survive, we can round this number to the nearest whole number, which is 4.

Therefore, we can expect that 4 out of the 12 people who tested positive for the disease will survive. This can be written as:

Expected number of survivors = (Chance of survival) × (Number of people who tested positive) = (0.30) × (12) = 3.6 ≈ 4
So, the answer is 4.

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Step-by-step explanation:

A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function as follows:

\(H(t)=-4.9t^2+25t+2\)

We need to find the height of the ball from 0 to 5 seconds

At t = 0 s

\(H(0)=-4.9t^2+25t+2\\\\=-4.9(0)^2+25(0)+2\\\\=2\ m\)

At t = 1 s

\(H(1)=-4.9t^2+25t+2\\\\=-4.9(1)^2+25(1)+2\\\\=22.1\ m\)

At t = 2 s

\(H(2)=-4.9t^2+25t+2\\\\=-4.9(2)^2+25(2)+2\\\\=32.4\)

At t = 3 s

\(H(3)=-4.9t^2+25t+2\\\\=-4.9(3)^2+25(3)+2\\\\=32.9\ m\)

At t = 4 s

\(H(4)=-4.9t^2+25t+2\\\\=-4.9(4)^2+25(4)+2\\\\=23.6\ m\)

At t = 5 s

\(H(5)=-4.9t^2+25t+2\\\\=-4.9(5)^2+25(5)+2\\\\=4.5\ m\)

t =  0         1                2                3                4                 5

H = 2       22.1         32.4         32.9           23.6           4.5

Answer: 36

Step-by-step explanation: Multiplication

Answer:

x = 4

Step-by-step explanation:

3x - 3 = 9

3x = 12

x = 4

just rearrange the equation

Answer:

1. ∠YZX = 37°

2. ∠YXZ = 53°

3. XZ = 30 meters

Step-by-step explanation:

1. To solve for an unknown angle, we need to utilize the inverse of a trigonometric function.

⭐What are the inverses of the trigonometric functions?

To know which inverse of the trigonometric functions we use, we have to see the type of side lengths we are given (opposite, adjacent, or hypotenuse)

We are given side length XY, which is opposite of ∠YZX, and we are given side length YZ, which is adjacent to ∠YZX. Therefore, we will use \(tan^-1 (opposite/adjacent) =\)

Substitute the values we are given into the function:

\(tan^-1 (18/24) =\)

Compute this equation using a scientific calculator. I recommend using the Desmos Scientific Calculator:

\(= 37\)

∴ ∠YZX = 37°

2. We already know 2 angles (∠YZX = 37°, and ∠ZYX = 90°) Therefore, to find ∠YXZ, we have to utilize the triangle sum theorem.

⭐ What is the triangle sum theorem?

Substitute the angles we know already (∠YZX and ∠ZYX), and solve for ∠YXZ.

\(< YZX + < ZYX + < YXZ = 180\)

\(37 + 90 + YXZ = 180\)

\(127 + YXZ = 180\)

\(< YXZ = 53\)

∴ ∠YXZ = 53°

3. We already know 2 side lengths (ZY = 24 meters, and XY = 18). Therefore, to find XZ, we have to utilize the Pythagoras' theorem.

⭐ What is the Pythagoras' theorem?

Substitute the values of the side lengths into the formula:

\((XZ)^2 = (XY)^2 + (ZY)^2\)

\((XZ)^2 = 18^2 + 24^2\)

Solve for XZ:

\((XZ)^2 = 324 + 576\)

\((XZ)^2 = 900\)

\(\sqrt{(XZ)^2} = \sqrt{900}\)

\(XZ = 30\)

∴ XZ = 30 meters

Answer: 1/5

Step-by-step explanation:

Answer:

\({ \sf{ \frac{1}{5} }} \\ \)

Step-by-step explanation:

\({ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ \)

Given that the ordered pair makes the function and these pairs are

[ (2,5), (7,1), (5,9), (8,0), ( , ) ]

Since the function is the one that has the input having only one output.

Hence, the given options (3,4) is correct.

Therefore the ( 3, 4 ) is the pair.

Answer:

the answer is 62

Step-by-step explanation:

310 divided by 5 = 62

62 divided by 1 = 62

Answer:

62

Step-by-step explanation:

Since the question is a like-fraction, 5 divided by 5 is 1, and 310 divided by 5 is 62, giving you your answer.

The average rate of change for the number of bacteria for the first 5 minutes of the experiment is given as follows:

24.8 bacteria per minute.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

The function for this problem is given as follows:

\(b(t) = 4(2)^t\)

The initial number of bacteria is given as follows:

\(b(0) = 4(2)^0 = 4\)

The number of bacteria after 5 minutes is given as follows:

\(b(5) = 4(2)^5 = 128\)

Hence the average rate of change is given as follows:

(128 - 4)/(5 - 0) = 24.8 bacteria per minute.

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The quadrupled functions can be evaluated by transforming them into quadratic functions to solve for the roots as follows;

a. x = ±3, and x = ±3·i

b. x = ±√(5)·i

c. x = ±√3, and ±i·√2

Quadratic functions are functions that have an highest power of 2, and which can be expressed in the form; a·x² + b·x + c = 0, where; a ≠ 0, and a, b, and c are numbers.

The specified roots of the quadrupled functions which can be expressed as quadratic function can be found as follows;

a. x⁴ - 81 = 0

x⁴ - 81 = ((x²)² - 9²) = 0

The difference of two squares equation indicates;

((x²)² - 9²) = (x² - 9) × (x² + 9) = 0

x² = 9, and x² = -9

x = ±3 and x = ±3·i

b. The roots of x⁴ + 10·x² + 25 = 0 can be found by taking x² = a, therefore;

x⁴ + 10·x² + 25 = a² + 10·a + 25 = 0

a² + 10·a + 25 = (a + 5) × (a + 5) = 0

a = -5

Therefore; x² = a = -5

x = √(5)·i

c. x⁴ - 2·x² - 6 = 0

Let x² = a, we get;

a² - 2·a - 6 = 0

(a - 3) × (a + 2) = 0

Therefore; a = 3, and a = -2

x = √a = ±√(3) = ±i·√(2)

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Check the picture below.

Answer:

D)  12 1/2 miles

Step-by-step explanation:

you can create a proportion for inches over miles equals inches over miles

(3/4 ÷ 15/2) = (5/4 ÷ m)

cross-multiply to get:

3/4m = 75/8

cross-multiply again:

24x = 300

x = 12 1/2

Triangle AED and triangle BEC have equal areas. The length of AE can be represented as 14 - x (since AC = 14). AE is equal to 10.

To find the length of AE, we can use the fact that triangle AED and triangle BEC have equal areas. Since the areas of two triangles with the same height are proportional to their base lengths, we can set up the following proportion:

Area of triangle AED / Area of triangle BEC = AE / EC

Let's denote EC as x (the length of EC). Then, the length of AE can be represented as 14 - x (since AC = 14).

Now, let's look at the given information about the lengths of the sides of the quadrilateral:

AB = 9

CD = 12

AC = 14

We can use the given information to find the lengths of the other sides of the quadrilateral:

BC = AC - AB = 14 - 9 = 5

AD = AC - CD = 14 - 12 = 2

Next, we can calculate the areas of triangle AED and triangle BEC using the lengths of their sides:

Area of triangle AED = (1/2) * AD * AE

Area of triangle BEC = (1/2) * BC * EC

Since the areas of the two triangles are equal, we can set up the following equation:

(1/2) * AD * AE = (1/2) * BC * EC

Plugging in the values we know:

(1/2) * 2 * (14 - x) = (1/2) * 5 * x

Simplifying the equation:

14 - x = (5/2) * x

Multiplying both sides by 2 to clear the fraction:

28 - 2x = 5x

Adding 2x to both sides:

28 = 7x

Dividing both sides by 7:

x = 4

Therefore, the length of EC is 4.

Since AE = AC - EC, we can calculate AE:

AE = 14 - EC = 14 - 4 = 10

So, AE is equal to 10.

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The complete question is:<Convex quadrilateral ABCD has AB = 9 and CD = 12. Diagonals AC and BD intersect at E, AC = 14 and triangle AED and triangle BEC have equal areas. What is AE?>