Sarah sold 127 brownies at the fair at the end of the day she still had 39 brownies left, how many did she have at first?

The equation of line in slope intercept form is, \(y=\frac{3}{4}x+9\).

What is slope point form of the line?

A line's point slope form equation is y - y1 = m. (x – x1). Consequently,

y - 0 = m(x = 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

Let the line passes through the point (-4, 6) and having slope 3/4.

We know that the equation of line passes through the point \((x_1, y_1)\) and having slope m is,

\(y-y_1=m(x-x_1)\)

Here, \((x_1, y_1) = (-4, 6)\)  and slope \(m = \frac{3}{4}\)

Plug the values in the above equation.

⇒

\(y-6=\frac{3}{4}(x-(-4))\\ y - 6 = \frac{3}{4}(x + 4)\\ y-6=\frac{3}{4} x + 3\\y = \frac{3}{4}x+3+6\\ y=\frac{3}{4}x+9\)

Hence, the equation of line in slope intercept form is, \(y=\frac{3}{4}x+9\).

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Answer:

16 boxes

Step-by-step explanation:

94+37=131

131/8=16.375

This means that the most possible boxes that they can fill is 16 boxes

Answer:

They can completely fill 16 boxes

Step-by-step explanation:

94 + 37 = 131

131/8 = 16.375

So that is 16 completely filled boxes and one box with .375 (3 muffins)

Answer:

(-1.5, 0.25)

Step-by-step explanation:

This image will show you the intersection of the two graphs. Enjoy :)

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The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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The exponential growth equation is x ( t ) = 37,000,000 ( 1 + 1.3567% )⁶ , where x ( t ) is the population in the year 2015 = 40,115,896

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units'

Given data ,

Let the exponential growth equation be represented as x ( t )

Now , the average percentage change from the year 2000 - 2009 is calculated by

The total percentage = ( 1.97+1.71+1.65+1.42+1.22+1.02+1.07+1.22+0.93 )

The total number of years = 9 years

So , the average percentage change = total percentage / number of years

On simplifying , we get

The average percentage change = 12.21 / 9 = 1.35667 %

b)

The population in 2009 was 37,000,000

So , the population growth rate r = 1.35667 %

And , the population in the years 2015 is given by

The number of years n = 6 years

x ( t ) = 37,000,000 ( 1 + 1.3567% )⁶

On simplifying , we get

x ( t ) = 37,000,000 ( 1.013567 )⁶

x ( t ) = 40,115,896

Hence , the population in the year 2015 is 40,115,896

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The probability that the article will have no errors is approximately 0.0233.

To solve this problem, we can use the formula for the probability of an event, which is the number of favorable outcomes divided by the total number of outcomes.

Let's first find the probability that the article is typed by the first typist. Since the article is equally likely to be typed by either typist, this probability is 1/2.

Now, we need to find the probability that the article has no errors given that it is typed by the first typist. We know that the average number of errors per article typed by the first typist is 3.5, so the probability that an article typed by the first typist has no errors is given by the Poisson distribution with λ = 3.5:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-3.5) * 3.5^0 / 1 = e^(-3.5) ≈ 0.0302

Similarly, we can find the probability that the article has no errors given that it is typed by the second typist. This probability is given by the Poisson distribution with λ = 4.1:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.1) * 4.1^0 / 1 = e^(-4.1) ≈ 0.0164

Finally, we can use the law of total probability to find the probability that the article has no errors:

P(X = 0) = P(X = 0 | typed by first typist) * P(typed by first typist) + P(X = 0 | typed by second typist) * P(typed by second typist)

= 0.0302 * 1/2 + 0.0164 * 1/2

= 0.0233

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Answer:

x = 121

Step-by-step explanation:

We are given;

g(x) = √x - 5

Now, we are told that g(x) = 6

Thus;

√x - 5 = 6

Add 5 to both sides to get;

√x = 11

Square both sides to get;

x = 121

Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

5x+2y+14

Step-by-step explanation:

3x+2x+2y+8+6

5x+2y+14

We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

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The answer of inequality is y<9 .

Given inequality,

4y +  14 < 50

Now,

Take 14 to the right side of the inequality.

4y <36

Then,

y < 9.

Hence the value of y will be less than 9.

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Answer:

Please Contact Your Teacher That Word Is Not Spelled Right Its Suppose To Be Roof Not Root!

And I Think Its B

The least squares regression line minimizes the sum of the mean squared error.

The least squares regression line, also known as the ordinary least squares (OLS) regression line, is a straight line that represents the best fit to a set of data points. It is used to model the relationship between a dependent variable (Y) and one or more independent variables (X) based on the principle of minimizing the sum of the squared differences between the observed data points and the predicted values on the line.

Mean squared error (MSE) is a measure of how well the regression line fits the data points.

It represents the average of the squared differences between the actual values and the predicted values by the regression line.

By minimizing the sum of the squared errors, the least squares regression line finds the line that best fits the data in a linear regression model.

This line is the one that provides the best fit in the sense of minimizing the overall error in the predictions.

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The perimeter of triangle ABC is 3 cm.

Given:- AB is congruent to segment AC  

AB= AC= 1/2x + 1/4

BC= 5/2-x

Perimeter of a triangle = Sum of all sides

                                      = (1/2x + 1/4) + (1/2x + 1/4) + (5/2-x)

                                      = 1/2x +1/2x -x +1/4+1/4+5/2

                                      = 3 cm

Therefore, the perimeter of triangle ABC is 3 cm.

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Answer:

x = 5

y = 34

Step-by-step explanation:

Sub y = 8x - 6 into second equation (y = 5x + 9)

8x - 6 = 5x + 9

Rearrange by collecting like terms

8x - 5x = 9 + 6

3x = 15

x = 5

Sub x = 5 into first equation (y = 8x - 6)  

y = (8*5) - 6

y = 40 - 6

y = 34

Answer:

175

Step-by-step explanation:

Answer:

The answer is 10.

Step-by-step explanation:

4 + 7 x 2 - 8.

7 x 2 = 14

4 + 14 = 18

18 - 8 = 10

So, the answer is 10

Hope this helps! :)

Using the BODMAS rule, the value of the expression  (4+7x2 –8) is 10.

BODMAS is a system that decides the preference of mathematical operations to solve an expression.

B stands for Bracket

O stands for of

D stands for division

M stands for multiplication

A stands for addition

S stands for subtraction.

So,  In the given expression (4 + 7 x 2 – 8) first, we will do multiplication

i.e. 4+14-8

Secondly, we will do the addition

i.e. 18-8

Lastly, we will subtract

10

Hence, using the BODMAS rule, the value of the expression  (4+7x2 –8) is 10.

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News executives estimated that a 0.1 drop in the ratings for the CBS Evening News corresponds to a $5.5 million drop in revenueThe correct expression that represents the estimation as a derivative is:

\($f'(p) = -5.5 \text{million}$\)

This means that the derivative of the revenue function with respect to the ratings points is equal to -5.5 million.

In this context, the negative sign indicates that as the ratings points decrease (p decreases), the revenue earned decreases. The magnitude of -5.5 million indicates the rate of change in revenue for every one-unit decrease in the ratings points.

By using the derivative, we can determine the sensitivity of revenue to changes in ratings points. In this case, for every 0.1 drop in the ratings points, the revenue is estimated to decrease by $5.5 million.

It's important to note that this estimation assumes a linear relationship between the ratings points and revenue. The derivative captures the instantaneous rate of change in revenue with respect to ratings points.

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Answer:

In statistics, the three most common measures of central tendency are the mean, median, and mode. Each of these measures calculates the location of the central point using a different method.

The explanation of the continuous range is added below

Continuous ranges are expressed in inequality notation because they represent a set of infinitely many numbers between two endpoints.

Inequality notation allows us to describe this range using mathematical symbols to show that the values can be any number between the two endpoints, including the endpoints themselves.

For example, a continuous range might be described as "all real numbers between 0 and 1, including 0 and 1".

This can be expressed in inequality notation as 0 ≤ x ≤ 1, where x is a real number.

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a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

z-scores are used to describe normal distributions

The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

How to interpret the z-scores

The z-score is given as:

z = 2.5

The mean and the standard deviation are:

Mean = 550

Standard deviation = 100

A z-score is the number of standard deviations above or below the mean.

Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

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Answer:

I don't nowggggghhhhhhh

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

\(2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2\)

solving the expression

\(2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2\)

as

so the expression becomes

\(5P+8>2\)

subtracting 8 from both sides

\(5P+8-8>2-8\)

\(5P>-6\)

Dividing both sides by 5

\(\frac{5P}{5}>\frac{-6}{5}\)

\(P>-\frac{6}{5}\)

Therefore,

\(2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}\)

The graph is also attached below.

The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to y = 5x + 44, the slope is equal to 5.

At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 5(x - (-4))  

y + 2 = 5(x + 4)

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To determine if a function has an inverse algebraically, you need to perform a few steps:

Verify that the function is one-to-one: A function must be one-to-one to have an inverse. This means that each unique input maps to a unique output. You can check for one-to-one correspondence by examining the function's graph or by using the horizontal line test. If any horizontal line intersects the graph of the function at more than one point, the function is not one-to-one and does not have an inverse.

Solve for the inverse function: If the function passes the one-to-one test, proceed to find its inverse. To do this, switch the roles of the input variable and output variable. Replace the function notation with its inverse notation, usually denoted as f^(-1)(x). Solve the resulting equation for the inverse function.

For example, if you have a function f(x) = 2x + 3, interchange x and y to get x = 2y + 3. Solve this equation for y to find the inverse function.

In summary, to determine if a function has an inverse algebraically, first check if the function is one-to-one. If it passes the one-to-one test, find the inverse function by swapping the variables and solving the resulting equation for the inverse.

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Answer:

9

Step-by-step explanation:

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2

2^28(3^-2/2^3)^4 x 243^2/256^2

2^28 x 1/2^12 x 3^8 x 243^2/256^2

243^2 x 1 x 2^28/256^2 x 3^8 x 2^12

2^28 x 243^2/2^12 x 3^8 x 256^2

2^16 x 243^2/3^8 x 256^2

2^16 x 3^10/2^16 x 3^8

=3^2

=9

Answer:

Two lines intersect at right angles. Conclusion: The two lines are

perpendicular.

Step-by-step explanation: