Find 33⅓% of ⅘ of $4.50.​

Solution : Straight line question : y= 2x-3

Straight Line:

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Slope:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

1)Point (3,3) (4,5)

slope: (5-3)/(4-3) = 2/1 = 2

Y= mx+c

y -3 = 2(x-3)

y-3= 2x-6

y= 2x-6+3

y= 2x-3

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Answer:

The conditional statement is true.

Step-by-step explanation:

If a and b are negative, it doesn't matter what numbers they are; the sum will always be negative.

Answer:

6,300

Step-by-step explanation:

6000+300

expressed as standard form^

The Weighted Average Cost of Capital (WACC) for Starbucks' new project can be determined by considering the subjective approach. To calculate the WACC, information such as the cost of equity and the cost of debt is required, along with their respective weights in the company's capital structure.

In this scenario, the given information only mentions Starbucks' overall WACC, which is 12%. However, to determine the WACC for the new project, additional details specific to the project, such as its risk profile and capital structure, are necessary. Without this specific information, it is not possible to calculate the WACC for the new project. The WACC is influenced by various factors, including the riskiness of the project, the expected return on equity and debt, and the proportion of equity and debt in the project's capital structure. Therefore, a comprehensive evaluation of the project's risk and financial structure is required to determine an accurate WACC for the new project.

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ANSWER

My answer is in the photo above

Answer:

The entrance is30 ft wide

Answer:

20 feet

Step-by-step explanation:

When graphing, we see that the length of the transverse axis is the shortest distance, which is a length of 20 feet from one wall to the other.

The particle's velocity is negative, but its position is always positive, which means it is moving in the positive x-direction.

To show that the particle is always moving in the positive x-direction, we need to demonstrate that its velocity is always positive.

Given that the coordinate of the particle at time t is x(t) = b + c/t, we can find the velocity v(t) by taking the derivative of x(t) with respect to time:

v(t) = d/dt (b + c/t)

To find the derivative of the function, we need to differentiate each term separately. The derivative of a constant (b) is zero, and the derivative of c/t can be found using the quotient rule:

v(t) = 0 - c/(t²)

= -c/t²

From the equation for velocity, we can see that v(t) is negative for all positive values of t, indicating that the particle is indeed moving in the negative x-direction.

However, since we are given that b and c are positive constants, the term b + c/t will always be positive for any positive value of t. Therefore, although the particle's velocity is negative, its position x(t) is always positive.

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The direct variation equation to represent the relationship between the number of tickets and the cost of the ticket is y = 8x.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

56, 48, 40, 32, 24, 16, 8, 0, y

7, 6, 5, 4, 3, 2, 1, 0, x

Here, x is the number of tickets and y is the cost of the ticket

As you can see that the cost of each ticket is $8,

Then the equation will be,

y = 8x

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A basis for the eigenspace corresponding to the eigenvalue λ = 4 is the set {[3; 2]}.

To find the eigenspace of the matrix A = [10 -9; 4 -2] corresponding to the eigenvalue λ = 4, we need to find the nullspace of the matrix A - λI, where I is the 2x2 identity matrix and λ is the eigenvalue:

A - λI = [10 -9; 4 -2] - 4[1 0; 0 1]

      = [6 -9; 4 -6]

To find the nullspace of this matrix, we need to solve the system of homogeneous linear equations:

6x - 9y = 0

4x - 6y = 0

We can simplify this system by dividing the first equation by 3, which gives:

2x - 3y = 0

4x - 6y = 0

We can see that the second equation is a multiple of the first equation, so we only need to solve one of the equations. We can choose the first equation and solve for x in terms of y:

2x = 3y

x = (3/2)y

So the eigenvector corresponding to the eigenvalue λ = 4 is a non-zero vector in the nullspace of A - λI, which in this case is the vector [3; 2] (or any non-zero scalar multiple of it).

Therefore, a basis for the eigenspace corresponding to the eigenvalue λ = 4 is the set {[3; 2]}.

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Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

Answer: 8.25mi

Step-by-step explanation:

Just add them all together

8.25 mi

Step-by-step explanation:

2.75 mi + 3 mi + 2.5 mi

= (2.75 + 3 + 2.5)mi

= (5.75 + 2.50)mi

= 8.25 mi

Answer:

80% of 8.75=7. I'm pretty sure this is the reason.

Answer:

It's because of the decimal of .8

Step-by-step explanation:

It can be confusing but since its not a whole number when you multiply with a whole number gets smaller instead of bigger. So the whole number basically has to give some of it to the decimal so, that the outcome can be a whole number.

Sorry, if this isn't the best!

The first step to solving for x in the equation as given in the task content is to add 7 to both sides of the equation.

It follows from the task content that the equation which is required to be solved in the task content is;

9x -7 = 10

Hence in a bid to solve the equation by isolating the variable-containing term, it follows that 7 must be added to both sides of the equation.

9x = 10 +7

9x = 17.

Hence, the equation in discuss can be solved for the value of x; = 17/9.

Ultimately, x = 17/9.

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The average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours.

Given the distance that an airplane covered in three different trips:

Hongkong-Manila: 1116 kilometers, Singapore-Manila: 2391 kilometers,

Korea-Manila: 2601 kilometers.

We are required to find the average distance traveled by the airplane in the three trips, the time it took in each trip if the speed of airplane is 760 km/h and the trip that took the longest time to travel.

Average distance that airplane travelled in the three trips=(1116+2391+2601)/3

=6108/3

=2036 kilometers

We know that speed=distance/time.

Time=Distance/speed

Time in trip from Hongkong to Manila=1116/760=1.468 hours

Time in trip from Singapore to Manila=2391/760=3.146 hours

Time in trip from Korea to Manila=2601/760=3.422 hours

We can observe that the trip from Korea to Manila took longest time to travel.

Hence the average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours and the trip from Korea to Manila took longest time to travel.

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The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

\(D(h)=25 {e}^{ - 0.4 h}\)

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

\(6 = 25 {e}^{ - 0.4h} \)

\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)

\(0.24= {e}^{ - 0.4h} \)

Taking logarithm both sides of above equation , we get,

\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)

Using the properties of natural logarithm,

\( \ln(0.24) = - 0.4h\)

\( - 1.427116356 = - 0.4h\)

\(h = \frac{1.42711635}{0.4} = 3.56779089\)

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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The population growth (exponential) formula, C(t) = 100·4^t, indicates;

a) C(0) = 100

C(0) = 100 indicates that 100 cells were put in the Petri dish initially by the scientist

b) C(2) = 1600 cells, C(3) = 6400 cells, C(10) = 1.67 × 10⁷ cells

c) C(t) = 100·(2^t)

d) C(t) = 300·(4^t)

e) a = The initial number of cells placed in the Petri dish

b = The growth factor

An exponential function is as function of the form, f(x) = aˣ

Where;

a = The base of the exponential function, is a positive constant number

x = The input or independent variable = The exponent.

The function for the population is; C(t) = 100·4^t, therefore;

C(0) = 100 × 4^0 = 100

C(0) = 100 which indicates that at time t = 0 (the start of the observation), the number of cells is 100

b) The number of cells are;

After 2 days, C(2) = 100 × 4² = 1600 cells

After 3 days, C(3) = 100 × 4³ = 6400 cells

After 10 days, C(2) = 100 × 4¹⁰ = 1.67 × 10⁷ cells

c) The new equation if the scientist's cells doubled their population each day instead of quadrupled is therefore;

C(t) = The number of cells after t days

d) The new equation if the scientist starts with 300 cells instead of 100 cells, can be obtained by plugging the value of 300 for 100 in the original equation as follows;

C(t) = The number of cells after t number of days

e) The general function; C(t) = a·(b^t) is an exponential function

The parts of an exponential function indicates;

a = The initial or starting value

b = The rate of increase per day, which is also known as the growth factor.

With regards to the problem, a = 100 and b = 4

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The correct answer is the first option

The graph of the quadratic function f(x) = x^2 - 3x - 28 provides information about the solutions of the equation f(x) = 0. To determine which of the given options describes all the solutions for f(x), we can analyze the graph and compare it to the provided points.

Looking at the given points:

(-4, 0): This point represents an x-intercept, where the graph of f(x) crosses the x-axis.

(0, -28): This point represents the y-intercept, where the graph crosses the y-axis.

(7, 0): Another x-intercept point where the graph crosses the x-axis.

From the given options, the description that matches these three points is:

(-4, 0), (0, -28), (7, 0)

Therefore, the correct answer is the first option:

a parabola passing through (-4, 0), (0, -28), and (7, 0).

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Answer:

x=1y

Step-by-step explanation:

Answer:

V

5 circles: 4 squares

Hope this helped have an amazing day!

Answer:

y = 2

x = -3.5

Step-by-step explanation:

3y and (2x + 13) are same-side angles.

that means they are equal

(that's not the real term for it, I just forgot what it's called)

using that, you can make this equation:

3y = 2x + 13

3y - 13 = 2x

(3y - 13)/2 = x

(5y - 4) and 3y are vertical angles.

vertical angles are equal.

using this, you can make the following equation:

5y - 4 = 3y

5y - 3y - 4 = 0

5y - 3y = 4

2y = 4

y = 2

now, substitute y for 2 in the original equation.

(3y - 13)/2 = x

(6 - 13)/2 = x

-7/2 = x

-3.5 = x

When a template is created, dummy data is used to verify the formulas in the template.

A template is a pre-designed format or layout that can be used for various purposes, such as creating reports, invoices, or budgets. One of the most important aspects of creating a template is ensuring that all the formulas and calculations used in it are accurate and produce the desired results.

To verify the formulas in a template, dummy data is often used. Dummy data is a set of fictitious or meaningless data that is used to test and verify the functionality of a system or application. In the context of templates, dummy data is used to ensure that the formulas and calculations used in the template are working correctly.

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Answer:

:]

Step-by-step explanation:

\(-2\leq x\leq 2\)

Answer:

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function

Zack should use a line with one arrowhead to map an abandoned line of reasoning.

A line with one arrowhead is commonly used in diagrams to represent the direction of a process or flow of information. In the case of mapping an abandoned line of reasoning, the line can be used to show the original train of thought that was pursued but later abandoned.

The arrowhead can indicate the point at which the reasoning was abandoned or diverted. Therefore, using a line with one arrowhead would be the most appropriate shape for Zack to use. The other shapes listed (orange oval, green rectangle, red) do not provide a clear representation of a line of reasoning and would not be suitable for this purpose.

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Answer:

Use the formula L(x)=f(a)+f'(a)(x−a) to find the linearization.

L(x)=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

$9.85   / 10   ≈ $0.99

AS per the concept of reasoning, the statement written symbolically is ~Q

The term reasoning in math is defined as a drawing logical conclusions based on evidence or stated assumptions

While we looking into the statement P and Q, then we can  get it as

p: Brad Pitt is governor.

q: There are not 51 states in the U. S.

Here we have to know that the we have to write the following in the symbolic form, that is written as,

=> There are 51 states in the U. S.

While we looking into the statement, we have identified that the  statement is write as the inverse form of the previously given one.

So, the symbolic form is ~Q.

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The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

She wants ONE white shirt and ONE pants and shoes

The treatment sum of squares measures the variability of the sample treatment means around the overall mean.

A mean can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

This ultimately implies that, a mean score is an average score and it can be calculated by dividing the total number of scores obtained by total number of samples in a data set (population).

In ANOVA, the following sum of squares can be used to measure the variation about the mean:

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Answer:

true

Step-by-step explanation: