Please help me out with this! :> ~Narancia

Answer: Angle AEF is 90°

Step by step explanation:

Given: CDF is a straight line, so the three angles that meet at D must total 180°

Given: ABCD is a square. By definition, all angles are 90° so CDA is 90°

Given: Triangle DEF is equilateral. By definition, all the angles are equal to 60° so angle EDF is 60°

Add angles EDF and ADC and subtract from 180

180 -(90 + 60) = 30

Given: Triangle ADE is iscoceles, so the angles opposite the given equal sides AE and AD are equal.

Angles AED and ADE are equal.

AED = 30°

Angle DEF of the equilateral triangle is 60°

The measure of angle AEF is the sum of angles AED + DEF 30 + 60 = 90.

Therefore the measure of angle AEF is 90°

Answer:D(38) I think

Step-by-step explanation:

A reflection about the x-axis followed by a reflection about the y-axis is equivalent to a rotation of 180 degrees about the point of intersection of the x-axis and the y-axis.

In order to find the measure of the acute or right angle formed by intersecting lines so that C can be mapped to C′ using two reflections, we need to apply the concept of rotations and reflections.

As given, a rotation (x,y) → (-x,-y) maps C to C′.

Now, if we reflect C′ across the x-axis, we get (-x,y) which is nothing but C reflected about the x-axis.

Again if we reflect C′ across the y-axis, we get (x,-y) which is nothing but C reflected about the y-axis.

Thus, to map C to C′ using two reflections, we reflect C about the x-axis and then about the y-axis.

Hence, the angle of rotation required to map C to C' is 180 degrees as one reflection is equivalent to a 180-degree rotation and hence, two reflections would be equivalent to a 360-degree rotation which is the same as no rotation at all (or a 0-degree rotation).

Therefore, the measure of the acute or right angle formed by intersecting lines so that C can be mapped to C′ using two reflections is 180 degrees.

Note: This can also be proven by the fact that reflections are equivalent to rotations about a line through the point of intersection of the two lines being reflected across.

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Interest to be paid daily is $8.68 (E).

To calculate the daily interest, we can use the formula:

Daily Interest = Principal × Interest Rate / Number of Days in a Year

Given that the principal amount is $35,000, the interest rate is 9.05%, and the number of days in a year is 365, we can substitute these values into the formula:

Daily Interest = $35,000 × 9.05% / 365

Calculating this expression gives us:

Daily Interest ≈ $8.68

Therefore, the correct answer is D) $8.68.

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Answer:

the answer is

B. (0, 5) and (−2, 9)

C. (−1, 7) and (2, 1)

Step-by-step explanation:

hope that help...…..…..…

The model with a bias of 1 is less biased compared to the model with a bias of -40.

Bias in the context of predictive models refers to the tendency of a model to consistently underpredict or overpredict the target variable. A negative bias indicates that the model consistently underpredicts the target, while a positive bias suggests that the model consistently overpredicts the target.

In this case, the first model with a bias of -40 indicates that, on average, its predictions are 40 units lower than the actual values of the target variable. This suggests a systematic underprediction by the model.

On the other hand, the second model with a bias of 1 implies that, on average, its predictions are only 1 unit higher than the actual values of the target variable. This indicates a much smaller deviation from the actual values and suggests a lower level of systematic error compared to the first model.

Therefore, based on the given information, the model with a bias of 1 is less biased compared to the model with a bias of -40. However, it's important to note that bias alone is not the only factor to consider when evaluating the performance of predictive models.

Other metrics, such as accuracy, precision, and recall, should also be taken into account to have a comprehensive understanding of the models' performance and effectiveness.

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To find an expression for the area under the graph of f(x) = x^2 * e^x using the right endpoints as a limit, we can use the definition of the Riemann sum.

The Riemann sum with the right endpoints is given by:

A = lim(n → ∞) ∑[i=1 to n] f(xi) * Δx

where A represents the area under the curve, n is the number of subintervals, xi represents the right endpoint of each subinterval, and Δx is the width of each subinterval.

In this case, the function is f(x) = x^2 * e^x, and the interval of integration is 0 ≤ x ≤ 5.

Using the right endpoints, we can divide the interval [0, 5] into n equal subintervals of width Δx = 5/n. The right endpoints of these subintervals will be xi = i * Δx, where i ranges from 1 to n.

Thus, the expression for the area under the graph of f(x) as a limit is:

A = lim(n → ∞) ∑[i=1 to n] (xi)^2 * e^xi * Δx

This expression represents the Riemann sum as a limit and can be used to approximate the area under the curve f(x) = x^2 * e^x.

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Answer:

A.

Step-by-step explanation:

A rational number times, minus or plus a irrational number is and will always be an irrational number.

Answer:

80

Step-by-step explanation:

Step-by-step explanation:

All 5 there is 4

All 100 there is x

x = 4/5 × 100

= 80

The percent error in Jessica's calculation is 4.17%.

To calculate the percent error in Jessica's calculation, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100

Given that Jessica's measured value was 125 seconds and the actual value was 120 seconds, we can substitute these values into the formula:

Percent Error = (|125 - 120| / 120) * 100

Simplifying further:

Percent Error = (5 / 120) * 100

Percent Error = 0.0417 * 100

Percent Error = 4.17%

This means that Jessica's recorded time of 125 seconds differs from the actual time of 120 seconds by approximately 4.17% in relative terms. The positive sign indicates that Jessica's recorded time was greater than the actual time.

Percent error is a way to quantify the discrepancy between a measured value and the true value. It provides a measure of the accuracy of a measurement or calculation, allowing us to understand the degree of error or deviation involved.

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The Greatest concentration of the medication that a patient will have in their body is 8 mg/L, which occurs at t = 2.The maximum concentration of the medication that a patient will have in their body is 8 mg/L.

Part A:

To determine the domain and range of the function C(t) = -2t^2 + 8t, we need to consider the context of the problem.

Domain:

The domain of a function represents the set of all possible input values. In this case, the function represents the concentration of the medication after being injected into a patient. Since time, t, is the independent variable representing hours after injection, it should be a non-negative value.

To find the domain, we need to determine the range of valid values for t. Since time cannot be negative in this context, the domain of the function is t ≥ 0.

Range:

The range of a function represents the set of all possible output values. In this case, the function represents the concentration of the medication, C(t), in mg/L.

To find the range, we can analyze the behavior of the function. The function is a quadratic equation, which opens downward since the coefficient of the t^2 term is negative (-2). This means that the maximum concentration will occur at the vertex of the parabolic curve.

The vertex of a quadratic function can be found using the formula: t = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -2 and b = 8. Substituting these values into the formula, we get:

t = -8 / (2(-2))

t = -8 / (-4)

t = 2

Therefore, the vertex occurs at t = 2.

Substituting t = 2 back into the original function, we can find the maximum concentration:

C(2) = -2(2)^2 + 8(2)

C(2) = -2(4) + 16

C(2) = -8 + 16

C(2) = 8

The maximum concentration of the medication that a patient will have in their body is 8 mg/L.

Part B:

To graph the function C(t) = -2t^2 + 8t and determine the greatest concentration, we can plot points and sketch the parabolic curve.

We can choose different values of t and calculate the corresponding values of C(t):

When t = 0, C(0) = -2(0)^2 + 8(0) = 0

When t = 1, C(1) = -2(1)^2 + 8(1) = 6

When t = 2, C(2) = -2(2)^2 + 8(2) = 8

When t = 3, C(3) = -2(3)^2 + 8(3) = 6

Plotting these points on a graph, we can connect them to form a parabolic curve.

The graph will be a downward-opening parabola, and the vertex will be at t = 2, C = 8.

The greatest concentration of the medication that a patient will have in their body is 8 mg/L, which occurs at t = 2.

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(a) Kwan will drive approximately 1.276 miles in 2 hours at his constant speed. (b) The equation representing the distance Kwan has driven (D) in terms of time (t) is D = 0.638t. (c) Kwan will drive approximately 0.1595 miles in 15 minutes, and (d) Kwan's trip of 234 miles will take approximately 366.8 hours at his constant rate.

(a) To determine how far Kwan will drive in 2 hours at the same constant speed, we can use the concept of proportionality. We can set up a ratio between the distance and time:

Distance / Time = Constant Speed

Let's calculate the constant speed first:

Constant Speed = Distance / Time

                 = 90 miles / 141 hours

                 ≈ 0.638 miles per hour

Now we can use the constant speed to find the distance Kwan will drive in 2 hours:

Distance = Constant Speed × Time

            = 0.638 miles per hour × 2 hours

            ≈ 1.276 miles

Therefore, Kwan will drive approximately 1.276 miles in 2 hours at this rate.

(b) The equation for D (distance) in terms of t (time) can be written as follows:

D = Constant Speed × t

Using the constant speed calculated earlier (0.638 miles per hour), the equation becomes:

D = 0.638t

(c) To determine how far Kwan drives in 15 minutes (0.25 hours), we can substitute t = 0.25 into the equation from part (b):

D = 0.638 × 0.25

    = 0.1595 miles

Therefore, Kwan will drive approximately 0.1595 miles in 15 minutes at this rate.

(d) If Kwan is driving a total of 234 miles, we can rearrange the equation from part (b) to solve for t:

D = 0.638t

234 = 0.638t

Dividing both sides of the equation by 0.638:

t = 234 / 0.638

   ≈ 366.77 hours

Kwan's trip will take approximately 366.8 hours.

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Answer:

52.2% percentage are men.

Step-by-step explanation:

Answer: 13

Step-by-step explanation: 30-17=13.

There are a total of 600 Employees in the automotive company.

The total number of employees in the automotive company, we need to determine the proportion of employees working in each area.

Let's denote the total number of employees as "x". According to the given information:

- The proportion of employees working in auto parts assembly is 2/3 of the total. So, the number of employees in auto parts assembly is (2/3)x.

- The proportion of employees working in the washing area is 1/8 of the total. So, the number of employees in the washing area is (1/8)x.

- The proportion of employees working in the customer service area is 1/6 of the total. So, the number of employees in the customer service area is (1/6)x.

- The rest of the employees are executives, and the number of executives is given as 25.

We can set up an equation to represent the total number of employees:

(2/3)x + (1/8)x + (1/6)x + 25 = x

To solve this equation, we can simplify and solve for x:

[(16/24)x + (3/24)x + (4/24)x] + 25 = x

(23/24)x + 25 = x

25 = x - (23/24)x

25 = (1/24)x

x = 24 * 25

x = 600

Therefore, there are a total of 600 employees in the automotive company.

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Answer:

12/8

Step-by-step explanation:

To find a reciprocal of a fraction, just flip the numbers upside down or invert it.    

In other words, swap the numerator over the denominator to get the reciprocal.

Example: 3/4 → 4/3

Have a great day and stay safe!

Answer:

x>5

Step-by-step explanation:

5-5=0 this is wrong. 5.0002-5= is greater than zero.

Answer:

b

Step-by-step explanation:

The solutions to the original polynomial equation X(x^3-10x^2+28x-24) = 0 are x = 0, x = 2, and x = 6.

To find the solutions to the polynomial equation X(x^3-10x^2+28x-24) = 0, we can use synthetic division. Synthetic division is a method used to divide polynomials by a linear binomial of the form (x - c), where c is a constant.

Let's start by factoring the cubic polynomial x^3 - 10x^2 + 28x - 24. By inspecting the coefficients, we can determine that x = 2 is a root of the polynomial. Using synthetic division, we can divide the polynomial by (x - 2) to obtain a quadratic polynomial.

2 | 1 -10 28 -24

| 2 -16 24

|_________________________

1 -8 12 0

The result of the synthetic division is the quadratic polynomial x^2 - 8x + 12. Now we need to find the roots of this quadratic polynomial. We can either factor it or use the quadratic formula.

Factoring the quadratic equation x^2 - 8x + 12 = 0, we have:

(x - 2)(x - 6) = 0

So the solutions to the quadratic equation are x = 2 and x = 6.

Therefore, the solutions to the original polynomial equation X(x^3-10x^2+28x-24) = 0 are x = 0, x = 2, and x = 6.

Note: Synthetic division is a method used to simplify polynomial division, but it is not applicable to finding all the roots of a polynomial. In this case, we were able to identify one root (x = 2) by inspection and then proceed with synthetic division to simplify the problem.

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Answer:

[tex] GH = 6.3 [/tex] (nearest tenth)

Step-by-step explanation:

Given:

G(-2, -3)

H(0, 3)

Required:

Distance between point G and H = GH

Solution:

Distance between G(-2, -3) and H(0, 3):

[tex] GH = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(0, 3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2} [/tex]

[tex] GH = \sqrt{(2)^2 + (6)^2} [/tex]

[tex] GH = \sqrt{4 + 36} = \sqrt{40} [/tex]

[tex] GH = 6.3 [/tex] (nearest tenth)

Answer:

C. He found the midpoint of a segment.

Step-by-step explanation:

The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.

John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.

Thus the appropriate answer to the question is option C.

Segment lengths 5, 7, and 9 form an obtuse triangle, segment lengths 3, 5, and √34 form an acute triangle, segment lengths 390, 21, and 28 form an obtuse triangle, and segment lengths 2, 18, and 23 do not form a triangle.

8. The segment lengths 5, 7, and 9 can form a triangle because the sum of any two sides is greater than the third side. To classify the triangle, we can use the Pythagorean theorem. Since 5² + 7² = 25 + 49 = 74 < 9², the triangle is obtuse.

9. The segment lengths form a triangle because the sum of any two sides is greater than the third side. To classify the triangle, we can compare the squares of the side lengths. Since 3² + 5² = 9 + 25 = 34 < (√34)², the triangle is acute.

10. The segment lengths 390, 21, and 28 can form a triangle because the sum of any two sides is greater than the third side. To classify the triangle, we can compare the squares of the side lengths. Since 21² + 28² = 441 + 784 = 1225 < 390², the triangle is obtuse.

11. The segment lengths 2, 18, and 23 cannot form a triangle because the sum of any two sides is not greater than the third side.

In summary, segment lengths 5, 7, and 9 form an obtuse triangle, segment lengths 3, 5, and √34 form an acute triangle, segment lengths 390, 21, and 28 form an obtuse triangle, and segment lengths 2, 18, and 23 do not form a triangle.

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Answer:

1. For a cube, volume = [tex]edge^{3}[/tex]

2. [tex]\sqrt[3]{volume}[/tex] = edge

3. Volume of the cube = 216 so, the edge = [tex]\sqrt[3]{216}[/tex] = 6

4. 1st blank = 6

   2nd blank = 6

   3rd blank = 216

   4th blank = 216

5. 6 is the edge

6. As the room is a square and we have to find the side

Area = 121

Edge = [tex]\sqrt[2]{121}[/tex] = 11

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Thank You!!

Answer:

8:10 and 12: 15

Step-by-step explanation:

we have to multiply

Answer:

16/20

Step-by-step explanation:

Answer:

Simplifying

32 + -8x = 3 + -9x

Solving

32 + -8x = 3 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.

32 + -8x + 9x = 3 + -9x + 9x

Combine like terms: -8x + 9x = 1x

32 + 1x = 3 + -9x + 9x

Combine like terms: -9x + 9x = 0

32 + 1x = 3 + 0

32 + 1x = 3

Add '-32' to each side of the equation.

32 + -32 + 1x = 3 + -32

Combine like terms: 32 + -32 = 0

0 + 1x = 3 + -32

1x = 3 + -32

Combine like terms: 3 + -32 = -29

1x = -29

Divide each side by '1'.

x = -29

Simplifying

x = -29

Step-by-step explanation:

Answer:

29+x

Step-by-step explanation:

32-8x=3-9x. 32-8x-3+9x. 32-3-8x+9x. 29+x. I hope it helps.

Answer:

208

Step-by-step explanation:

(-1)(-16)=16

16×13=208

Answer:

? = 65°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ UPT is an external angle of the triangle, thus

? + 50° = 115° ( subtract 50° from both sides )

? = 65°

Answer:

The length of the cube is 170 mm

Step-by-step explanation:

Volume of Solids

The volume of a cube of length a is:

[tex]V_c=a^3[/tex]

The shot put ball is spherical with a volume of 4,913,000 cubic millimeters. The ball is melted and converted into a cube, thus we have the volume of the cube.

Let's solve the equation of the volume of the cube for a:

[tex]a=\sqrt[3]{V_c}[/tex]

[tex]a=\sqrt[3]{4,913,000}=170\ mm[/tex]

The length of the cube is 170 mm