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The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.

The axis of symmetry for this graph is x = -1.

Hope this helps!! :)

Answer:

im not sure i need points though

Step-by-step explanation:

The proof is given below

The steps are as follow:

p(x,y) = p'(-x,y)

A(-6,1) = A'(6,1)

AB is opposite side

A'B is adjacent side

Hence we can prove that triangle is right angle triangle

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Answer:

Step-by-step explanation:

ABC is congruent to GEF. The transformation made was reflecting over the origin.

(x) = 2√x - 1, and the domain is {x| 4x - 3 ≥ -1, x ≥ 1/2}.

(x) = 4√(x + 1) - 3, and the domain is {x| x + 1 ≥ 0, x ≥ -1}.

Explanation:

The given functions are:(x) = √(x + 1) and (x) = 4x − 3

To find the composite functions f∘g and g∘f, we need to substitute one function into the other.

The symbol used for function composition is "∘".Therefore, we need to find f(g(x)) and g(f(x)).f(g(x)) = f(4x - 3) = √[(4x - 3) + 1] = √4x - 2 = 2√x - 1

The domain of f(g(x)) is {x| 4x - 3 ≥ -1, x ≥ 1/2}

g(f(x)) = g(√(x + 1)) = 4√(x + 1) - 3

The domain of g(f(x)) is {x| x + 1 ≥ 0, x ≥ -1}

Therefore,(x) = 2√x - 1, and the domain is {x| 4x - 3 ≥ -1, x ≥ 1/2}.

(x) = 4√(x + 1) - 3, and the domain is {x| x + 1 ≥ 0, x ≥ -1}.

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Answer:

f(10) = 120

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 3x - 10

f(10) is x = 10

Step 2: Evaluate

The perimeter of the parallelogram is 30 units, and m∠BCD is  127°.

Polygon ABCD is a parallelogram with angle ABC measuring 127°, we can determine various properties of the parallelogram.

The length of AB is 10 units.

The length of BC is 5 units.

Since opposite sides of a parallelogram are congruent, we can conclude that the length of CD is also 10 units (same as AB) and the length of AD is 5 units (same as BC).

To find the perimeter of the parallelogram, we add the lengths of all four sides:

Perimeter = AB + BC + CD + AD = 10 + 5 + 10 + 5 = 30 units.

Therefore, the perimeter of the parallelogram is 30 units.

Now, let's determine the measure of angle BCD (m∠BCD). In a parallelogram, opposite angles are congruent. Since angle ABC measures 127°, angle BCD, which is opposite to angle ABC, will also measure 127°.

Therefore, m∠BCD = 127°.

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Answer:

B)

the (8+7) x (10 + 7) x (6 + 4)

Step-by-step explanation:

Answer:

D- (8×10×6) + (7×7×4)

Step-by-step explanation:

The formula for volume is Length×Width×Height.

So you have to find the volume for each one individually then add them up together.

(You can give the other person brainliest if u want.)

:)

Answer:

y=1/3x + 2

Step-by-step explanation:

the y intercept is 2 since that's where the line crosses and the x intercept is at 4

Answer:

no

Step-by-step explanation:

The equation of 2 quantities varying directly is

y = kx ← k is the constant of variation

y = 23x + 1 is not in this form so does not represent direct variation.

Answer:

$500

Explanation:

If Joe saved 60% of the cost, given that the amount he saved was $300, to find the total cost of the computer, we need to know 100% of the cost.

60% = $300

[Set the percentage to a fraction and let x be the total cost]

(60/100) x = $300

60x / 100 = $300

_____________

60 → 30 × 2 → 15 × 2 × 2 → 5 × 3 × 2 × 2

______________________________

100 → 50 × 2 → 10 × 5 × 2 → 5 × 2 × 5 × 2

_______________________________

5 × 3 × 2 × 2 / 5 × 2 × 5 × 2 =

3 / 5.

_____________________________

3x / 5 = 300

3x / 5 × 5 = 300 × 5

3x = 1500

÷3 ÷3

x = $500

The amplitude of 6sin(5t)5cos(5t) can be found using the identity sin(a)cos(b) = (1/2)[sin(a+b) + sin(a-b)]. And the amplitude of 6sin(5t)5cos(5t) is 3.

To find the amplitude of a product of sine and cosine functions, we need to use the identity sin(a)cos(b) = (1/2)[sin(a+b) + sin(a-b)] and identify the coefficients of the sine terms.

The amplitude of a sinusoidal function is the absolute value of its maximum value or half the difference between its maximum and minimum values. For a function of form f(t) = Asin(ωt) + Bcos(ωt), the amplitude is given by √(A² + B²).

In this case, we have the product 6sin(5t)5cos(5t) which can be rewritten using the identity sin(a)cos(b) = (1/2)[sin(a+b) + sin(a-b)] as:

6sin(5t)5cos(5t) = (1/2)[6sin(10t) + 30sin(0)]

= 3sin(10t)

Thus, the amplitude of the product 6sin(5t)5cos(5t) is 3, which is the absolute value of its maximum value.

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Answer:

y=2

Step-by-step explanation:

:) brainliest ?

Answer:

2

Step-by-step explanation:

do 6.5 divided by 2.5 and you get 2.6, you then do 5.2 divided by 2.6 and you come up with 2. Hopes this helps :)

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

Answer:

c) k/3 + 17 = 12

#JUST A TEXT

The procedure for geometrically evaluating a transfer function in the s-domain involves analyzing the poles and zeros of the function.

1. Transfer functions in the s-domain are represented by rational functions of the complex variable 's', where 's' is a complex number of the form s = σ + jω, with σ being the real part and jω being the imaginary part.

2. To evaluate a transfer function, we plot the poles and zeros on the complex plane. The poles of a transfer function are the values of 's' that make the denominator of the transfer function equal to zero, while the zeros are the values of 's' that make the numerator zero.

3. Poles are represented by 'x' marks on the complex plane, and zeros are represented by 'o' marks. The location of poles and zeros gives insights into the behavior of the transfer function.

4. The poles and zeros of a transfer function can be classified as real or complex conjugate pairs. Real poles/zeros lie on the real axis of the complex plane, while complex conjugate poles/zeros appear as pairs symmetrically distributed about the imaginary axis.

5. The behavior of the transfer function depends on the location of the poles and zeros. Poles on the left-half of the complex plane (negative real part) result in stable systems, while poles on the right-half of the complex plane (positive real part) lead to unstable systems.

6. Zeros represent points where the transfer function is equal to zero, indicating that the output of the system is zero at those frequencies. Zeros can affect the magnitude and phase response of the system.

7. When poles and zeros move up or down the jω-axis, the frequency response of the system changes. If a pole moves up the jω-axis, the corresponding frequency becomes more dominant in the system's response. Similarly, if a zero moves up the jω-axis, the system's response at that frequency decreases.

8. Conversely, if a pole or zero moves down the jω-axis, the system's response at that frequency becomes less dominant. The effect of moving poles and zeros depends on their distance from the imaginary axis and the shape of the transfer function.

In summary, geometrically evaluating a transfer function in the s-domain involves plotting the poles and zeros on the complex plane. The location of the poles and zeros determines the stability and behavior of the system. Moving poles and zeros up or down the jω-axis affects the system's frequency response at those frequencies.

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Answer:

(-4, -5)

Step-by-step explanation:

If you need help in these problems. Try using the Geogebra Calculator Suite. It really helped me when I was learning!

Hope this helped:)

Answer:

What is the question?

Step-by-step explanation:

...

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answer:

4 am for me you probably live somewhere in america though

The forecast for year 5 is 45,000 units.

A forecast refers to an estimation or prediction of a future event or value based on available data or information. It is used to anticipate or project what may happen in the future.

In the context of business and sales, a sales forecast is an estimate of future sales based on historical data, market trends, and other relevant factors. It helps businesses plan and make informed decisions regarding production, inventory, marketing, and resource allocation.

To calculate the forecast for year 5 using a moving average of length 3, we need to take the average of the sales values for the previous 3 years. Here's how you can do it:

Sales (1000's Units)

Year 1: 68

Year 2: 45

Year 3: 60

Year 4: 72

Step 1: Calculate the moving average for years 2 to 4:

Moving Average Year 2 = (68 + 45 + 60) / 3 = 57.67 (approximately)

Moving Average Year 3 = (45 + 60 + 72) / 3 = 59

Moving Average Year 4 = (60 + 72 + forecast) / 3

Step 2: Rearrange the formula to solve for the forecast:

Forecast = (3 * Moving Average Year 4) - 132

Step 3: Substitute the values and calculate the forecast:

Forecast = (3 * 59) - 132

Forecast = 177 - 132

Forecast = 45 (in 1000's units)

Therefore, the forecast for year 5 is 45,000 units.

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The measure of the smallest angle is 31°, the middle angle is 67°, and the measure of the largest angle is 82°.

A triangle is a plane shape with three edges and three vertices. All triangles have three internal angles, and the addition or sum of these angles gives 180°. In the question above, the three angles of the triangle are not given, though, we are given some clues as to how we can find them:

        Not much is said about the first angle, so we'll call it angle a.

        We are told that the second angle (angle b) is 5 more than twice

        angle a. The '5 more' means '5+' twice the value of angle a. Thus;

                             angle b = 5 + 2a

        The third angle, angle c is 11 less than 3 times the measure of angle

        a, meaning that angle c is 3 times angle a minus 11, thus;

                            angle c = 3a - 11

The addition of angle a, angle b and angle c gives 180°, hence:

                    a + 5 + 2a + 3a - 11 = 180°

                    a + 2a + 3a + 5 - 11 = 180°

                    6a -6 = 180

                    6a = 180 + 6

                    6a = 186

Dividing both sides by 6,

                      a = 31°

Now that we know the value of angle a, angle b will be

                        5 + 2(31) = 67°

and angle c is  

                        3(31) - 11 = 82°

Hence, the measure of the smallest angle, angle a is 31°, the middle angle, angle b is 67°, and the largest angle, angle c is 82°.

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Given that, height of the right-angled triangle = 4m. Width of the right-angled triangle = 1m. Let's assume that the rectangular enclosure will be built at the base of the right-angled triangle. The area of the rectangular enclosure can be obtained using the formula, Area of rectangle = length × breadth. Length of the rectangle = height of the right-angled triangle = 4mLet the breadth of the rectangle be x, then the length is the width of the right-angled triangle + x = 1 + x Hence, the area of the rectangular enclosure is given by: Area = Length × Breadth= (1+x)×4= 4x + 4m²Now, the maximum area can be obtained by differentiating the above expression with respect to x and equating it to zero: dA/dx = 4 = 0x = -1. This is not a valid solution since we cannot have a negative breadth, hence we conclude that the area is maximum when the breadth of the rectangular enclosure is equal to the width of the right-angled triangle, i.e., when x = 1m. Thus, Area of the rectangular enclosure = Length × Breadth= (1+1)×4= 8 m². Hence, the largest the area of Gottfried’s enclosure can be is 8 m².

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Answer:

LCM : 42

Step-by-step explanation:

The type of survivorship curve that would represent a fish population where death at any age is equally probable is Type II survivorship curve.

In a Type II survivorship curve, the mortality rate is relatively constant throughout the lifespan of the organism. This means that the probability of dying is equal at any age.

This pattern is often observed in species where there is a relatively constant level of predation, disease, or other factors that contribute to mortality.

For the fish population in the small pond, if death at any age is equally probable, it suggests that there is a consistent level of mortality affecting the fish population. This aligns with the characteristics of a Type II survivorship curve.

Thus, a Type II survivorship curve would represent the fish population in the small pond where death at any age is equally probable.

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The total number of times that the coin was flipped would be 10 times. Option D.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable." Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.

In order to prove that the number of flips that was done by the families 10, we would have to solve for the probability of heads using total of 10 and 4 as the total for the Rodriguez.

4 / 10 * 100

= 40%

Hence the other family flipped the coin 60 percent of the time. Such that 10 - 4 = 6

6 + 4 = 10

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The grade point average received by hector is 3.75.

Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.

The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.

3 a and one is B received by Hector.

The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college

We have GPA= A+A+A+B/4

GPA=4+4+4+3/4

GPA= 15/4

GPA=3.75

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Complete question

Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0

The theoretical probability of rolling a one or two on a number cube is 2/5 or 0.4.

To find the theoretical probability of rolling a one or two on a number cube, we need to determine the number of outcomes that correspond to rolling a one or two, and divide that by the total number of possible outcomes.

From the table, we can see that Alexandria rolled a one or two a total of 24 times out of 60 rolls. This means that the probability of rolling a one or two is: P(1 or 2) = 24/60

Simplifying the fraction by dividing both the numerator and denominator by the greatest common factor, we get: P(1 or 2) = 4/10

This can be further reduced to: P(1 or 2) = 2/5

Therefore, the theoretical probability of rolling a one or two on a number cube is 2/5 or 0.4.

In summary, the theoretical probability is the expected probability of an event occurring, based on mathematical reasoning. Here, we used the number of favorable outcomes to calculate the probability of rolling a one or two, and expressed the answer as a fraction in simplest form.

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In a rectangle WXYZ, if the measure of angle 1 is 30 degrees, then the measure of angle 8 can be determined.

A rectangle is a quadrilateral with four right angles. In a rectangle, opposite angles are congruent, meaning they have the same measure. Since angle 1 is given as 30 degrees, angle 3, which is opposite to angle 1, also measures 30 degrees.

In a rectangle, opposite angles are congruent. Since angle 1 and angle 8 are opposite angles in quadrilateral WXYZ, and angle 1 measures 30 degrees, we can conclude that angle 8 also measures 30 degrees. This is because opposite angles in a rectangle are congruent.
Since angle 3 and angle 8 are adjacent angles sharing a side, their measures should add up to 180 degrees, as they form a straight line. Therefore, the measure of angle 8 is 180 degrees minus the measure of angle 3, which is 180 - 30 = 150 degrees.

So, if angle 1 in rectangle WXYZ is 30 degrees, then angle 8 measures 150 degrees.

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