Which is the graph of y = 3^ cube root x+1-2

Answer:

The building is 552 feet tall.

Step-by-step explanation:

1. Draw the figure. Notice that the figure is the shape of a right triangle

To solve for an unknown side in a right triangle, you have to use a trigonometric function.

⭐What is a trigonometric function?

⭐What are the types of trigonometric functions?

To know which trigonometric function we use for this problem, identify which kind of side lengths are given (opposite, adjacent, or hypotenuse):

We are given the side length with a length of 1,300 feet, which is adjacent to the 23 degrees.

We want to find the side length of the building, which is opposite of the 23 degrees.

Therefore, we will use tan(θ).

Substitute the values of the angle measure and the 2 side lengths into the tan(θ) equation. Let x=the height of the building:

\(tan(23) = \frac{x}{1300}\)

Set the equation equal to x:

\(1300tan(23) = x\)

Compute using a scientific calculator:

\(552 = x\)

∴ The building is 552 feet tall!

I have attached the figure to this response.

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Answer:

Step-by-step explanation:

98

Answer:

8

Step-by-step explanation:

The symbol for the cube root is ∛.

Cube root is the reverse of the cube of a number and is denoted by ∛. In other words, cube root of number is a value which when multiplied by itself thrice or three times produces the original value.

For example let's find the cube root of 8.

Using the cube root symbols,

∛8 = 2

The cube root of 8 is the number one can multiply thrice to get 8. Therefore, that number is 2.

Hence, the symbol is ∛

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Answer:

1) \(x^{a-b}\)     ( x^{a-b} )

2) \(x^{a+b}\)     ( x^{a+b} )

3) 1

4) \(x^{a*b}\)     ( x^{a*b} )

5) \(1 / x^a\)    ( 1 / x^a )

Step-by-step explanation:

Answer:

The answer would be A.

Step-by-step explanation:

There are two possible outcomes of flipping a head on a coin. So it will be 1/2. So when you flip two coins to get head it will be  1/2*1/2=1/4.

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

The expression 10 x ( x+5 ) 300 gives the total cost of tiling a rectangular patio, where 10 represents the cost per square foot of tiling.

In the given expression, 10 represents the cost per square foot of tiling the patio. This is because the expression is a product of three factors: 10, x(x+5), and 300. The first factor, 10, is the cost per square foot of tiling the patio. The second factor, x(x+5), represents the area of the patio in square feet, where x is the width of the patio. The third factor, 300, is a constant that represents the labor charges. Therefore, when the expression is simplified, we get the total cost of tiling the patio.

To understand this better, let's assume that the width of the patio is 10 feet. Then, the length of the patio would be 5 feet more, which is 15 feet. The area of the patio would be 10 x 15 = 150 square feet. If the cost per square foot of tiling is 10 dollars, then the cost of tiling the patio would be 10 x 150 = 1500 dollars. If we add the labor charges of 300 dollars, we get the total cost of tiling, which is 1800 dollars.

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Define g: Z → Z by the rule g(n)= 4n − 5, for all integers n. (a) g is one-to-one. (b) G is onto.

(i) To determine if g is one-to-one, we need to check if different inputs map to different outputs. Let's consider two integers, m and n, such that g(m) = g(n). This implies 4m - 5 = 4n - 5. By simplifying the equation, we get 4m = 4n, which implies m = n. Therefore, if g(m) = g(n), then m = n. Hence, g is one-to-one.

(ii) To determine if g is onto, we need to check if every integer in the codomain has a corresponding integer in the domain. In this case, the codomain is Z (integers), and the domain is also Z. Since g(n) = 4n - 5 for all integers n, we can see that for any integer y in Z, we can find an integer x = (y + 5)/4 such that g(x) = y. Therefore, g is onto.

(b) To determine if G is onto, we need to check if every real number in the codomain has a corresponding real number in the domain. In this case, both the domain and codomain are R (real numbers). Since G(x) = 4x - 5 for all real numbers x, we can see that for any real number y in R, we can find a real number x = (y + 5)/4 such that G(x) = y. Therefore, G is onto.

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Ann factored the expression completely

Max did not factor completely

The trinomial: 4x^2 - 6x - 4

ax^2 + bx + c

Factors of 16 = 2 and 8

The sum of -8 and 2 gives -6, while the product gives -16 (a × c = 4× 4)

we factorise:

4x^2 -8x + 2x - 4

4x (x - 2) + 2(x -2)

(4x + 2) (x - 2)

factorising completely, 2 is common to the first expression in bracket

2(2x + 1)(x - 2) = 2(x - 2)(2x + 1)

Ann factored: 2(x - 2)(2x + 1)

Max factored: (x - 2)(4x + 2)

From our workings, we can see Ann factored the expression completely

Max did not factor completely

Reason: one of the factors of the expression could still be factorise

4x + 2 can be factorise as 2(2x + 1)

Answer:

you mesuare the apple to see if it greater or less than 3 centimeter  

Step-by-step explanation:

The probability of Henry choosing a Milky Way and then a Snickers is 2/27.

1. First, let's find the total number of candy pieces in Henry's candy jar:
3 Snickers + 1 Reese's + 1 Twix + 2 Milky Ways + 2 Skittles Packs = 9 pieces of candy.

2. Next, we'll calculate the probability of choosing a Milky Way on the first pick:
There are 2 Milky Ways and 9 total pieces of candy, so the probability is 2/9.

3. Since Henry puts the candy back, there are still 9 pieces of candy for the second pick. Now, we'll calculate the probability of choosing a Snickers on the second pick:
There are 3 Snickers and 9 total pieces of candy, so the probability is 3/9 (or 1/3).

4. Finally, we'll multiply the probabilities of each individual event to find the probability of both events occurring together (choosing a Milky Way and then a Snickers):
(2/9) * (1/3) = 2/27

So, the probability of Henry choosing a Milky Way and then a Snickers is 2/27.

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The total amount each member of the Nantucket recreation center have to pay after the discount is given by the equation A = $ 840

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for each person after discount be represented as A

Now , the equation will be

The total number of people in the group = 36

The standard fare for each person = $ 1200

So , the total cost of the fare = total number of people x standard fare for each person

Substituting the values in the equation , we get

The total cost of the fare = 1200 x 36

The total cost of the fare = $ 43,200

Now , the discount percentage = 30 %

So , the amount after discount = total cost of the fare - total cost of the fare x discount percentage

Substituting the values in the equation , we get

The amount after discount = 43,200 - ( 30/100 ) x 43,200

The amount after discount = 43200 - 12960

The amount after discount = $ 30,240

Now ,

Total amount for each person after discount A =amount after discount / 36

Total amount for each person after discount A = 30,240 / 36

On simplifying the equation , we get

Total amount for each person after discount A = $ 840

Therefore , the value of A is $ 840

Hence , the amount is $ 840

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To find a set A such that ƒLƒ¹[A]] ≤ A is not true, we need to find a counterexample where the inclusion does not hold.

Let's consider the function ƒ(x) = x[x], where [x] represents the greatest integer less than or equal to x.

We need to find a set A for which the inequality ƒLƒ¹[A]] ≤ A is not true.

Let's choose A = [0, 1) (the half-open interval from 0 to 1).

For this set A, let's evaluate the left side and the right side of the inequality:

ƒLƒ¹[A]] = ƒLƒ¹[[0, 1)] = ƒL{0} = {0(0)} = {0}

A = [0, 1) = {x | 0 ≤ x < 1}

However, we can see that {0} is not less than or equal to [0, 1). In fact, {0} is not a subset of [0, 1).

Therefore, the inequality ƒLƒ¹[A]] ≤ A is not true for A = [0, 1).

Hence, we have found a set A (A = [0, 1)) for which the inclusion is not true.

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Step-by-step explanation:

A: 3x-4y=-2

3x=-2+4y

x =(-2+4y)/3

B: x-y⁴=0

x=y⁴

C: x²-3y=0

x²=3y

x=±√3y

D: |x| + |y| =2

x + y= 2

x =2-y

Answer: So there are three ways...

$850=150(1)+100(7)

$850=150(3)+100(4)

$850=150(5)+100(1)

Step-by-step explanation:

The equation is 150x+100y=850 where x and y are any whole number of items that she was able to purchase with $850

So there are three ways...

$850=150(1)+100(7)

$850=150(3)+100(4)

$850=150(5)+100(1)

These are the purchases where x is pens and y is pencils

The function g(x) = 1/x -2 has an inverse, g(x)=1/x+2.  Every function has a domain and a career competencies .

Substances and their modifications, equations with supporting structures, shapes and corresponding placements, and destinations where they can be found are all included in the study of mathematics. The association between a group of inputs, each of which produces related output, is referred to as a "function." A function is a relationship involving inputs and outputs where each input produces a single, unique result. Every function has a domain and a career competencies, often known as a scope. F is typically used to signify functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, many-to-one functions, within functions, and on functions.

given

y=1/x−2

Swap out the variables.

x=1/y−2

Solve for y.

y=1/x+2

To display the complete solution, swap out y with g1/(x).

g−1/(x)=1/x+2

Check to see if g(x) = 1/x+2 The opposite to g(x)=1/x2.

The function g(x) = 1/x -2 has an inverse, g(x)=1/x+2.

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The required number of years is 9 years.

The formula for finding the exponential function is expressed as:

Substituting the given information, we will have:

2000 = 1000 (1+0.08)^x

2 =  1.08^x

x is the time taken

Take the ln of both sides

ln 2 = x ln1.08

0.6931 = 0.07696x

x = 0.6931/ 0.07696

x = 9

Hence the required number of years is 9 years.

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Answer:

y=2x+2

Step-by-step explanation:

yea

The doubling time for the bacteria population is approximately 0.231 hours.

To find the doubling time for the bacteria population, we can use the formula N = N0e^rt, where:

- N is the final number of bacteria (1 million in this case)

- N0 is the initial number of bacteria

- r is the growth rate (in this case, it is 3, as the population triples every 4 hours)

- t is the time in hours (12 hours in this case)

First, let's find the initial number of bacteria, N0. Since the population triples every 4 hours, we can calculate N0 by dividing the final number of bacteria by the growth rate raised to the power of the number of time intervals.

N0 = N / (r^t/4)

N0 = 1,000,000 / (3^(12/4))

N0 = 1,000,000 / (3^3)

N0 = 1,000,000 / 27

N0 ≈ 37,037

Now, let's find the doubling time, which is the time it takes for the population to double.

We can rearrange the formula N = N0e^rt to solve for t:

t = ln(N/N0) / r

t = ln(2) / 3

t ≈ 0.231 hours

So, the doubling time for the bacteria population is approximately 0.231 hours.

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Answer:

B

y int is 1, so we know it is +1

Slope is -2/3 :)

a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.

a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.

\(~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}\)

Answer:

c. the solution is 3 times as large as 5x(465x4)

Step-by-step explanation:

I assume you are using the letter x as the multiplication sign.

Start with:

15 x (465 x 4)

We know that 15 = 3 x 5

Now we replace 15 with 3 x 5 in the original expression.

15 x (465 x 4) = 3 x 5 x (465 x 4)

Answer: c. the solution is 3 times as large as 5x(465x4)

The type of Balance Sheet Report showing information for today and a year ago is typically a C. Comparison.

A comparison balance sheet report compares the financial position of a company at two different points in time.

In this case, the current day and a year ago.

It presents the assets, liabilities, and equity of the company side by side, allowing for a comparison and analysis of the changes.

That have occurred over the specified period.

The other options mentioned are,

Balance Sheet A,

This is not a recognized classification for balance sheet reports.

Summary,

A summary balance sheet report provides a condensed overview of the financial position.

Usually presenting summarized categories of assets, liabilities, and equity.

It may not include specific details or comparisons with previous periods.

Detailed,

A detailed balance sheet report provides a comprehensive breakdown of all individual accounts.

Assets, liabilities, and equity, offering a more granular view of the financial position.

It may not necessarily include a comparison with a previous period.

Therefore, in the context of comparing the financial position for today and a year ago, the most suitable type of balance sheet report would be a C. Comparison.

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Answer:

x = \(\frac{3}{4}\) = 0.75

Step-by-step explanation:

Answer:

If x = 3 then y = 10

If x = -3 then y = -2

If x = 4 then y = 12

If x = -2 then y = 0

The number line sketched above shows the positions of both points A and B.

They both are the same distance from the point zero. However, while the measure of the distance is always a positive value, the value on the number line to the left is negative, while that on the right is positive. Therefore, adding both values (same value/distance) on both the left and rigt side will result in 0.

Whatever is the value of B on the number line, e.g, 3 units, then A will be the negative and adding;

The correct answer is option B