Jennifer has 21 pencils she gives 21 pencils to her teacher write an equation that represents this situation

Answer:

y = (-5/8)x + 2

Step-by-step explanation:

y = mx + 2 and it has the point (8,-3)

So the given b = 2 because linear equation is  y = mx + b

Now let's solve for m by using the point (8,-3)

-3 = m(8) +2

8m = -5 => m = -5/8

Therefore, the final equation is

y = (-5/8)x + 2

Answer: 4/9 of the class are boys and 5/9 of the class are girls.

Step-by-step explanation:

a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:

0.3904

Step-by-step explanation:

0.8^-3 = 0.8^1 - 0.8^4 = 0.8 - 0.4096 = 0.3904

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

A linear model is not appropriate because the residual plot shows a clear pattern.

The residuals (i.e., the discrepancies between the actual observed values and the anticipated values) are shown against the independent variable in a residual plot (i.e. the variable that the model is trying to predict). The x-variable is often the independent variable in a linear model.

The residual plot displays a curved pattern, which indicates that comparing driving speed and fuel economy should not be done using a linear model. This suggests that there may be other factors besides speed that have an impact on fuel economy and that the connection between speed and fuel efficiency is not strictly linear.

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Answer:

4/x

Step-by-step explanation:

The degrees of freedom used in the the t distribution is 86.

We have to calculate the degrees of freedom using the given formula. The t distribution is used as the population mean and standard deviation is not known. The data of two samples from two different population are given, using which we have to compute degrees of freedom.

Given,

n1=40, n2=50

\(\bar{x_{1} }\)=32.2 , \(\bar{x_{2} }\)= 30.1

s1=2.8 , s2= 4.1

The

The degrees of freedom formula is given by

\(df=\frac{\left(\frac{s_1{ }^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2} \\\)

Substituting the given values, we get

\(df=\frac{\left(\frac{2.8^2}{40}+\frac{4.1^2}{50}\right)^2}{\frac{1}{40-1}\left(\frac{2.8^2}{40}\right)^2+\frac{1}{50-1}\left(\frac{4.1^2}{50}\right)^2}\)

Further simplifying, we get

\(d f=\frac{(0.5322)^2}{0.0032917}\)

df= 86.04

Therefore, the degrees of freedom used after rounding off to the nearest integer is 86.

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The equation of the hyperbola centered at (-2, -4) with vertices at (-3, -4) and (-1, -4) and foci 10 units apart is ((x+2)^2)/(1/4) - ((y+4)^2)/(124/4) = 1, or equivalently, (x+2)^2/0.25 - (y+4)^2/31 = 1.

The center of the hyperbola is the midpoint of the segment between the vertices, which is ((-3-1)/2, (-4-4)/2) = (-2, -4). Since the foci are 10 units apart, the distance from the center to each focus is c = 10/2 = 5. The distance between the vertices is 2a, where a is the distance from the center to each vertex, so a = |-3 - (-2)|/2 = 1/2. The distance between each focus and vertex is b, where b^2 = c^2 - a^2, so b = sqrt(5^2 - (1/2)^2) = sqrt(124)/2. The equation of the hyperbola centered at (-2, -4) with vertices at (-3, -4) and (-1, -4) and foci 10 units apart is ((x+2)^2)/(1/4) - ((y+4)^2)/(124/4) = 1, or equivalently, (x+2)^2/0.25 - (y+4)^2/31 = 1.

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Explanation:

This is because

distance = speed*time

Answer:

7x²+5x

Step-by-step explanation:

Answer:

75 dollars.

Step-by-step explanation:

If 4 gallons of gas costs 15 dollars, then 20 gallons would cost 75 dollars.

Hope this helped!! :D

Answer:

15/4 = 3.75

3.75 x 20 = 75

$75

Answer:

c = \(\frac{81}{4}\)

Step-by-step explanation:

x² - 9x + c

to complete the square

add ( half the coefficient of the x- term)² to x² - 9x

= x² + 2(- \(\frac{9}{2}\) )x + ( - \(\frac{9}{2}\) )²

= x² - 9x + \(\frac{81}{4}\) → with c = \(\frac{81}{4}\)

= (x - \(\frac{9}{2}\) )²

Answer:

(a) The domain of f(x) is all real numbers, as there are no restrictions or excluded values for the expression x^2 - 16.

(b) There are no vertical asymptotes for f(x). The horizontal asymptote does not exist since the function is not a rational function.

(c) The intervals of increase for f(x) are (-∞, -4) and (4, +∞), while the interval of decrease is (-4, 4).

Step-by-step explanation:

(a) To determine the domain of f(x), we need to consider any potential restrictions on the function. In this case, the expression x^2 - 16 does not have any limitations or excluded values. Therefore, the domain of f(x) is all real numbers.

(b) Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. However, for the function f(x) = x^2 - 16, there are no fractions or denominators involved, which are common sources of vertical asymptotes. Therefore, there are no vertical asymptotes for f(x).

Horizontal asymptotes, on the other hand, are typically found in rational functions. Since f(x) = x^2 - 16 is not a rational function (it is a polynomial), it does not have a horizontal asymptote. The function does not approach a specific y-value as x tends to infinity or negative infinity.

(c) To determine the intervals of increase and decrease, we can look at the behavior of the function f(x) = x^2 - 16. The function is a quadratic polynomial, and its graph is a parabola opening upwards.

Since the coefficient of the x^2 term is positive, the parabola opens upwards, indicating that the function increases on either side of the vertex. The vertex of the parabola occurs at x = 0, where the function reaches its minimum value of -16.

Therefore, the intervals of increase for f(x) are (-∞, -4) and (4, +∞), as the function is increasing to the left of -4 and to the right of 4.

The interval of decrease for f(x) is (-4, 4), as the function decreases from -4 to 4, reaching its minimum value at x = 0.

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Step-by-step explanation:

Answer:

Then get 4 shorts and 5 t-shirts.

Step-by-step explanation:

^

Answer:

The answer is B and the guy above me is correct.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

cs i'm right

Answer:

  y=x+5

Step-by-step explanation:

The equation is given in slope-intercept form, so we can read the slope from the equation. It is the x-coefficient, -1.

The slope of the perpendicular line will be the opposite reciprocal of this value:

  -1/-1 = 1

The new y-intercept will be ...

  b = y -mx = (4) -(1)(-1) = 5

Then the slope-intercept equation of the perpendicular line is ...

  y = x +5

Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

The value of  (x - µ) / σ is the z factor.

We have:

x is the random number

µ is the mean

σ  is the standard deviation,

Now,

we need to evaluate, (x - µ) / σ

(x - µ) / σ = z factor

The Z factor is computed by dividing the dynamic range by the separation band (i.e., the difference between the sample mean and the control mean).

The difference in a value's z-score between it and the set mean is measured in standard deviations. By deducting the value from the mean and dividing the result by the standard deviation, you may determine it.

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Answer:

216

Step-by-step explanation:

The formula of finding the surface is length * width * height or LxWxH.

Since everything is 6 you just multiply 6*6*6 which gives you 36*6 which gets you 216. You don't need the top 6 just to find the surface she will paint.

Hope this helps!

Answer:

-6.8125

Step-by-step explanation:

Convert 13/16 to a decimal.

Write -6 down

You get -6.8125.

Hope this helps! If it does, please mark me brainliest, and press thank you to help me. Thank you! ;)

Good luck on whatever you are doing.

Answer:

B. 4/3 hours

Step-by-step explanation:

because in smart

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Using algebra, the inverse of the function is \(f^{-1} (x) = \sqrt{y+4} +1\).

An inverse in mathematics is a function that "undoes" another function. Therefore, if f (x) generates y, which is subsequently transformed into x by applying y to the inverse of f(x).

Given that \(f(x) = (x-1)^{2} -4\).

Let us consider f(x) = y.

\(y = (x-1)^{2} -4\)

Add 4 on both sides of the equation.

\(y+4= (x-1)^2 -4 +4\\y + 4 =(x-1)^2\)

Square root on both sides of the equation.

\(\sqrt{y+4} = \sqrt{(x-1)^2}\\\\ \sqrt{y+4} = x-1\)

Add 1 to both sides of the equation.

\(\sqrt{y + 4} +1 =x -1 +1\\\\\sqrt{y + 4} +1 =x\)

Hence the value of \(f^{-1} (x) = \sqrt{(y+4)} +1\).

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Answer:

Hence the simplified form has has 1 term and a degree of 4

Step-by-step explanation:

Given the expression

3j⁴k - 2jk³+jk³-2j⁴k+jk³

Collect like terms

= 3j⁴k-2j⁴k- 2jk³+jk³+jk³

= j⁴k- 2jk³+jk³+2jk³

= -j⁴k-2jk³+2jk³

= - jk⁴

Hence the simplified form has has 1 term and a degree of 4

Answer:

It has 1 term and a degree of 5.

Step-by-step explanation:

The equation of the circle with radius 7 and center at (-4 , -6) is (x + 4)^2 + (y + 6)^2 = 49.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-4 , -6)

r = 7

(x - -4)^2 + (y - -6)^2 = 7^2

(x + 4)^2 + (y + 6)^2 = 49

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Answer:

6.00$

Step-by-step explanation:

43.27 rounds down to 40.00.

15% of 40.00 is 6.00

Answer:

lateral area = 180π in²

Step-by-step explanation:

The lateral area is the surface of the cone only.

perimeter of base = 12 x 2 = 24π in

Surface Area = 1/2 perimeter x slant height

SA = 1/2 x 24π x 15 = 180π in²