evaluate m/-6/5 for m = 6 3/4

need an explanation pls^^

Step-by-step explanation:

The composite function (f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

4x² - 19

This is your correct answer friend

Answer:

242 text messages.

Step-by-step explanation:

60.50 / 0.25 = 242

60.50 being the phone bill.

0.25 being each text message.

/ stands for ' divided by '.

Answer:

62 text messages

Step-by-step explanation:

Let the number of text messages be x,

Then the required equation:

Solution:

Answer is: 62 text messages

The orthogonality assumption in ordinary least squares (OLS) regression states that the error term (ε) is uncorrelated with the independent variable (X).

In OLS regression, the model assumes that the relationship between the dependent variable (Y) and the independent variable (X) can be represented as Y = a + bX + ε, where ε is the error term.

The orthogonality assumption states that this error term is uncorrelated with X, meaning that there is no systematic relationship between the independent variable and the random error. In other words, the error term represents the variation in Y that cannot be explained by X.

The orthogonality assumption is crucial because it allows OLS to estimate the coefficients (a and b) in a way that is unbiased and efficient. If there were a correlation between X and the error term, it would imply that the variation in Y not explained by X is related to X, leading to biased and inefficient coefficient estimates. By assuming orthogonality, OLS can separate the effects of X on Y from the random error, allowing for reliable estimation of the relationship between the variables.

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Solution

For this case we can use the following formula:

where:

P= 200

r= 0.09

n = 4

t= 4

And solving we got:

Answer:

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

Answer:

14 i think

Step-by-step explanation:

multiply 4 by 1/2, you get 2. 4 times 3, 12. Add, you're done.

Answer:

\(= 14\)

Step-by-step explanation:

\(3\frac{1}{2} * 4= \frac{7}{2} *4=14\)

The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

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Answer:

volume is 4712.39

Step-by-step explanation:

looked it up lol

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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In order to determine the value of p(3/4), we just have to replace 3/4 for x, like this:

Then, we just have to simplify this expression to determine the vapue of p(3/4), like this:

By multiplying the denominator and numerator of the second fraction by 2 we can make the the denominator 8 and add the two fractions:

Similarly, by multipling by 8 and dividing by 8 the last term, -9, we get:

Then, th answer is:

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Some other names for the unit rate are:

A general proportional relation is written as:

y = k*x

You can see that it goes through the origin because when we evaluate in x = 0, we get:

y = k*0 = 0

So it passes through (0, 0).

The value "k" has several names, unit rate is the one given here, but it is generally called the "constant of proportionality"

It is also called the slope (like in a linear equation with an y-intercept equal to 0).

Or the rate of change or gradient, which are equivalent terms that particularly in the case of linear equations are equal to the slope (but not for other functions).

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Answer:

Though many different types of expressions can be classified as binomials, not all of them can be factored. In order to be factorable, a binomial has to have a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor.

Step-by-step explanation:

We use the PEMDAS to reorder the terms of expression when simplifying it.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We use the PEMDAS to reorder the terms of expression when simplifying it.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Therefore, use PEMDAS to simplify any expression.

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The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer:

A : 6x+24

Step-by-step explanation:

6 ( x + 4 )

= 6 ( x ) + 6 ( 4 )

= 6x + 24

Answer:

A)6x + 24

Step-by-step explanation:

When you multiply 6 with (x+4), you will get 6x+24

mark me brinilylist

Area of the region bounded by one arc of the cycloid and the x-axis using Green's theorem is 2πa.

Given:  Cycloid curve is given as x = a(θ − sin θ), y = a(1 − cos θ) for 0 ≤ θ ≤ 2π

Calculation:

Now, we will calculate the area bounded by one arch of the cycloid and the x-axis using Green's theorem.

Green's theorem states that:

∮ (P dx + Q dy) = ∬ (∂Q/∂x − ∂P/∂y) dA

where P and Q are functions of x and y, and ∂Q/∂x and ∂P/∂y are the partial derivatives of P and Q, respectively, with respect to x and y.

The line integral on the left-hand side of the equation is taken over a closed curve, and the double integral on the right-hand side is taken over the area enclosed by the closed curve.

Now, let's apply Green's theorem to find the area bounded by one arch of the cycloid and the x-axis.

The cycloid curve can be written in parametric form as:

x(θ) = a(θ − sin θ)

y(θ) = a(1 − cos θ)

Let P = 0 and Q = x, then ∂Q/∂x = 1 and ∂P/∂y = 0

Applying Green's theorem, we get:

∮ (P dx + Q dy) = ∬ (∂Q/∂x − ∂P/∂y) dA

= ∬ (1) dA

= Area enclosed by the curve = A

We can evaluate the line integral on the left-hand side of the equation by parameterizing the curve and integrating over the range of θ:

∮ (P dx + Q dy) = ∫2π0 (0 dx + x dθ)

= ∫2π0 a(θ − sin θ) dθ

= a [θ2/2 + sin θ]2π0

= a (2π − 0) = 2πa

Therefore, the area enclosed by one arch of the cycloid and the x-axis is 2πa.

Answer: Area of the region bounded by one arc of the cycloid and the x-axis using Green's theorem is 2πa.

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Y form is the slope-intercept form of a straight line.

Here, x and y are the coordinates of the points, m is the gradient, and b is the intercept of the y-axis.

y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept.

The value of b is equal to y when x = 0, and m shows how steep the line is. The slope of the line is also called the gradient.

To find the equation of the straight line, we use the slope-intercept form, y = mx + b, where m is the slope of the line, b is the y-intercept of the line.

We can find the equation of a line in the form of y = mx + b, if the coordinates of points forming the line are known to us.

Thus, Y form is the slope-intercept form of a straight line.

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Answer:

0.02

Step-by-step explanation:

X has 10 boxes and when divided by 100 is equal to 0.1. Y is 2 boxes so just divide it by 100 and you get 0.02.

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

h(1 + n) = 2n - 2

Step-by-step explanation:

To find h(1 + n), substitute n = 1 + n into h(n) , that is

h(1 + n) = 2(1 + n) - 4 = 2 + 2n - 4 = 2n - 2

Answer:

Given a figure that is broken into a rectangle and triangle.

The dimensions of the rectangle are:

Base : 5 ft

Height : 1/3 ft

The dimensions of the triangle are :

Base : 3 upon 2/3 ft

Height : 2 ft

The area of the figure calculated below :-

Area of rectangle + Area of triangle

Area of rectangle + Area of triangleLB + 1/2BH

(5×1/3) + (1/3+3upon2/3×2)

The result is simplified below :-

5/3+11/3

5+11/3

16/3 ft

51/3 ft square.

The area of the figure is 5 and one third square feet.

Answer:

5 1/3

Step-by-step explanation:

Answer:

a) 3/13

b) 1/2

Step-by-step explanation:

a) In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So the probability of drawing those cards is (4+4+4)/52 = 12/52 = 3/13.

b) 1/2 because the numbers greater than 3 on a dice is 4, 5, and 6 which is half of the available options.

After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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Answer:

{-27, -11, 21}

Step-by-step explanation:

\(x=-2 \implies y=-8(-2)+5=21 \\ \\ x=2 \implies y=-8(2)+5=-11 \\ \\ x=4 \implies y=-8(4)+5=-27\)

Answer:

-5 is the slope

Step-by-step explanation:

Here is the formula

y2-y1

____

x2-x1