On a violin achievement test, the final score is made up of 75% performance, 10% sight reading , and 15% written theory. Samantha earned an average score of 90 points on performance, 90 points on sight reading, and 82 points on written theory. What was Samantha’s final score for the violin achievement test?

Answer: 2y=-3x+6 or y=-1.5x+3

Step-by-step explanation:

Move the 3x to the other side of the equation to get 2y=-3x+6.

Optional:

Simplify the equation to get y = -1.5x + 3

Answer:

2.5cm has to be multiplied by 1.5 and you get 3.75cm

Answer:

\(80.106 = 8 * 10 + 0 * 1 + 1 * 0.1 + 0 * 0.01 + 6 * 0.001\)

Step-by-step explanation:

Given

80.106

Required

Write in expanded form

First, we need the place value of each digit:

\(8-> Tens -> 10\\0-> Units->1\\1-> Tenths->0.1\\0->Hundredths->0.01\\6-> Thousandths->0.001\)

Next, we multiply each digit by its place value, to give the expanded form;

\(80.106 = 8 * 10 + 0 * 1 + 1 * 0.1 + 0 * 0.01 + 6 * 0.001\)

The volume of Cylinder is 8624 \(cm^{2}\) and the radius and height of cylinder is 14 cm as per the given question.

Curved surface area of cylinder =2 x(area of the base) [as stated in the question]----Eq 1

Sum of radius and height = 28cm [r +h=28cm]-----Eq A

Curved surface area of cylinder = \(2\pi rh\)----Eq2

Area of base = \(\pi r^{2}\)---Eq3

Putting Eq 2 and 3 in Eq 1

\(2\pi rh\)=\(2\pi r^{2}\)

\(h=r\)

Thus from this we get that the height and radius of cylinder is equal.

Now Using Equation A

r + h =28cm

2r =28 cm

r=14 cm = h

so the height and radius of cylinder is 14 cm.

Volume of Cylinder = \(\pi r^{2} h\)

=22/7 x 14x14x14

=22 x 2 x14x 14

=8624 \(cm^{2}\)

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The differential equation for the amount of salt A(t) in the tank at time t>0 is dA/dt = (2 lb/gal) * (3 gal/min) - (A(t)/300) * (2 gal/min).

Let's consider the rate of change of the amount of salt in the tank over time. The amount of salt entering the tank is given by the concentration of the solution (2 lb/gal) multiplied by the rate at which the solution is entering (3 gal/min). On the other hand, the amount of salt leaving the tank is proportional to the amount of salt already in the tank, which is A(t), divided by the total volume of the tank (300 gallons), multiplied by the rate at which the solution is leaving (2 gal/min).

Therefore, the differential equation can be written as dA/dt = (2 lb/gal) * (3 gal/min) - (A(t)/300) * (2 gal/min), where dA/dt represents the rate of change of the amount of salt in the tank with respect to time.

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Answer:

-38

Step-by-step explanation:

To evaluate the given integrals, we can use the properties of definite integrals and the given information. The integral ∫₀⁷ f(x) dx can be evaluated by splitting it into two parts: ∫₀⁵ f(x) dx and ∫₅⁷ f(x) dx.

Given: ∫₀⁵ f(x) dx = 13 and ∫₅⁷ f(x) dx = 6

a) To evaluate ∫₀⁷ f(x) dx, we split it into two parts:

∫₀⁵ f(x) dx + ∫₅⁷ f(x) dx

Using the given information, we substitute the known values:

∫₀⁷ f(x) dx = ∫₀⁵ f(x) dx + ∫₅⁷ f(x) dx

∫₀⁷ f(x) dx = 13 + 6

∫₀⁷ f(x) dx = 19

b) To evaluate ∫₀⁵ f(x) dx, we already know that ∫₀⁵ f(x) dx = 13.

c) To evaluate ∫₅⁵ f(x) dx, we can observe that the interval is from 5 to 5, which means there is no interval or area under the curve. Therefore, ∫₅⁵ f(x) dx = 0.

d) To evaluate ∫₀⁵ 2f(x) dx, we can use the property of scaling. Since we multiply the integrand by 2, the integral also gets multiplied by 2:

∫₀⁵ 2f(x) dx = 2 * ∫₀⁵ f(x) dx

Using the given information, we substitute the known value:

∫₀⁵ 2f(x) dx = 2 * 13

∫₀⁵ 2f(x) dx = 26

Therefore, the values of the given integrals are:

a) ∫₀⁷ f(x) dx = 19

b) ∫₀⁵ f(x) dx = 13

c) ∫₅⁵ f(x) dx = 0

d) ∫₀⁵ 2f(x) dx = 26

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The probability distribution for the 30 pieces of fruit, in the order listed, is:

a. 1/30, 3/30, 1/30, 4/30, 1/30, 5/30

To determine the probability distribution for the 30 pieces of fruit, we need to calculate the probability of each fruit appearing in the specified order.

Based on the given information:

Fruit: Apples, Bananas, Lemons, Oranges, Pears

Quantities: 6, 9, 2, 8, 5

To calculate the probability, divide the quantity of each fruit by the total number of pieces of fruit (which is 30 in this case).

The probability distribution for the 30 pieces of fruit, in the order listed, is as follows:

a. 1/30, 3/30, 1/30, 4/30, 1/30, 5/30

b. 1/30, 4/30, 2/30, 5/30, 10/30

c. 10/30, 15/30, 15/30

d. 1/30, 1/30, 1/30, 4/30, 2/30, 15/30, 5/30, 15/30, 15/30

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Answer:

x-intercept:  (-56, 0)

y-intercept:  (0, -14)

Step-by-step explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  To find the x-intercept, substitute y=0 into the given equation:

\(\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}\)

Therefore, the x-intercept of the given linear equation is:

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  To find the y-intercept, substitute x=0 into the given equation:

\(\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}\)

Therefore, the y-intercept of the given linear equation is:

The value that minimizes the expression is x = 90. This means that the most accurate Measurement of the patient's pulse rate is 90 bpm.

In this scenario, the doctor wants to determine the most accurate measurement of the patient's pulse. To do this, the doctor wants to find the value that minimizes the expression (x − 70)2 + (x − 80)2 + (x − 120)2. This expression represents the sum of the squared differences between each measured pulse rate and the unknown true pulse rate, represented by x.
To find the value that minimizes this expression, we need to find the value of x that makes the expression as small as possible. One way to do this is to take the derivative of the expression with respect to x and set it equal to zero. Doing this, we get:
2(x-70) + 2(x-80) + 2(x-120) = 0
Simplifying this equation, we get:
6x - 540 = 0
Solving for x, we get:
x = 90
Therefore, the value that minimizes the expression is x = 90. This means that the most accurate measurement of the patient's pulse rate is 90 bpm.

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Answer:

1. d

2. e

3. f

4. h

5. l (that's an L btw)

6. i

7. a

8. b

9. c

10. j

Step-by-step explanation:

If you need additional help, reply in the comments.

Hope this helped! :)

Answer: 72 feet²

Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Yes, if you have minimums and maximums that are several standard deviations away from the rest of the data observations, medians would be the best measure of central tendency.

Having minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency. This is because, when there are outliers or extreme values in a dataset, the mean can be influenced and it may not be an accurate representation of the central tendency.

However, the median is not affected by extreme values or outliers since it only depends on the middle value of the dataset. Therefore, if the dataset has outliers, it is better to use the median as a measure of central tendency to provide a more accurate representation of the data.

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Answer:

18

Step-by-step explanation:

Answer: I think it may be 18.

Step-by-step explanation: The reason is because, 118 plus 44 equals 162. 180-162=18

Answer:

Step-by-step explanation: the answer is d cause when you are in this question for a long time just give up or guess your welcome .

Answer:

Step-by-step explanation:

andrea lb: 164.5cm

andrea ub: 165.5 cm

joel lb: 165

joel ub: 175

To approximate the area of the ellipse defined by the equation x^2/16 + y^2/9 = 1, we can follow these steps.

(a) To find the total area of the ellipse, we first calculate the area of the part lying in the First Quadrant. Then, we multiply this area by 4 since the ellipse is symmetric about both the x-axis and the y-axis. Multiplying by 4 accounts for the remaining three quadrants, resulting in the total area of the ellipse.

(b) To find the curve bounding the top of the ellipse, we solve the given equation for y. By rearranging the equation, we get y = f(x) = 3√(1 - (x/4)^2), where f(x) represents the upper boundary of the ellipse.

(c) Using a midpoint approximation, we can estimate the area of the part of the ellipse lying in the First Quadrant. We divide the x-axis into equal intervals of width Δx = 1 and calculate the corresponding y-values using the function y = f(x). Then, we approximate the area of each rectangle formed by Δx and the corresponding y-value, summing up these areas for all intervals.

(d) To approximate the total area of the ellipse, we multiply the estimated area from part (c) by 4 since we considered only the First Quadrant. The result provides an approximation of the total area of the ellipse.

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i. The wage would increase by 0.12 units.

ii. The wage would increase by 0.6 units.

iii. The relationship between wage and age is not linear but instead has a quadratic shape.

(i) The coefficient of edu does give the slope of the relationship between the wage and education. In the given equation, the coefficient of edu is 0.12.

This means that for every one unit increase in education (in years), the wage increases by 0.12 units.

For example, if a worker's education increases by 5 years, the wage would increase by 0.12 * 5 = 0.6 units.

(ii) The coefficient of age does represent the slope of the relationship between the wage and age. In the given equation, the coefficient of age is 0.06.

This means that for every one unit increase in age, the wage increases by 0.06 units.

For example, if a worker's age increases by 10 years, the wage would increase by 0.06 * 10 = 0.6 units.

(iii) The coefficient of age² does not represent the slope of the relationship between the wage and age. Instead, it represents the curvature of the relationship.

In the given equation, the coefficient of age² is -0.007.  As age increases, the wage initially increases at a decreasing rate, and then starts to decrease.

The coefficient of age² captures this pattern of the relationship.

In the second part of the question, if an inexperienced researcher specifies the PRF for economic growth incorrectly, it can lead to biased and inconsistent estimates of the coefficients. In terms of the estimation of β2 (the coefficient of inf), it would be difficult to determine the true relationship between domestic inflation and economic growth.

The estimated coefficient may be distorted and may not accurately capture the effect of domestic inflation on GDP growth.

In terms of the unbiasedness property of the coefficient of the variable of interest, if the regression model is misspecified, the coefficient estimates may not be unbiased. This means that the estimated coefficients may not provide an accurate representation of the true relationship between the variables. The graphical illustration of this would show a biased slope, where the estimated relationship deviates from the true relationship.

In summary, it is crucial to specify the correct regression model and ensure that it captures the true relationship between the variables of interest to obtain accurate and unbiased estimates.

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Answer:

25 minutes

Step-by-step explanation:

Subtract the two times to find the duration.

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

Answer:

Step-by-step explanation:

i

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.

To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.

The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.

The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.

From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.

Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.

Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.

Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.

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Answer:

3/4

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation: