f (x) = -9x + 28, find f (17).

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

Answer:

301.58  

Step-by-step explanation:

Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.

This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.

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Answer:

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

Given:

Area of polygon=10.4

sides of polygon=2

Formula for area of a regular polygon= 1/2 (apothem x perimeter )

Putting value, we get

10.4= 1/2 ( a x 12 )

10.4=6a

a=10.4/6

a=1.73

Answer:

Step-by-step explanation:

1.7Step-by-step explanation:Given:Area of polygon=10.4 sides of polygon=2 Formula for ...

Answer:

The final mean is higher

Step-by-step explanation:

The mean of all the scores = \(\frac{90 + 85 + 98 + 60 + 84 + 78}{6\\} = \frac{495}{6} = 82.5\\\)

The mean of the scores with the 60 dropped = \(\frac{435}{5} = 87\)

The final mean is higher

That will always happen when you drop the lowest score.  I worked it out for you so that you would see that it happened in your case.

Answer:

lol i have this question too

Step-by-step explanation:

btw is yall really in highschool, cuz this is a middle school question......

Answer:

119º and 61º

Step-by-step explanation:

2x-15 and 3x+5 are supplementary because the angles corresponding to 2x-15 is supplementary with 3x+5

2x-15+3x+5=180

5x-10=180

5x=190

x=38

fill in x

2(38)-15

=76-15

=61

angle is 61

fill in x for angle 2

3(38)+5

=114+5

=119

angle 2 is 119

Answer:

I think it would be (5,6)

Step-by-step explanation:

The formula is (y,-x).

Answer:

they ran 5 and 2 and half hour

Step-by-step explanation:

they ran 5 and 2 and half hour

Answer:

Step-by-step explanation:

7: Area=77km^2

8: Not sure I think Area=77cm^2

9: Area=56m^2

10: Area=43.51km^2

Im not too sure of this problem but I hope this helps

Respuesta:

Significar

Explicación paso a paso:

Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.

Dados los datos:

2,4, 5, 2, 3, 3, 3, 5

La media = Σx / N = 2.3

Modo = 3

Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3

Si se agrega un valor extremo: digamos 80

2, 2, 3, 3, 3, 4, 5, 5, 2, 80

Nueva media = Σx / N = 11,88

Mediana = 1/2 (n + 1) th término

Mediana = 1/2 (10) término = 3

Modo = 3

Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.

The graph of G(x) is the graph of F(x) compressed vertically.

The equation of the graph of F(x) is given by x^2 and that of G(x) is given by 4/5 x^2.

The coefficient of x^2 in the equation of G(x) is 4/5, which is smaller than the coefficient of x^2 in the equation of F(x), which is 1.

This means that for a given value of x, the value of G(x) will always be less than the value of F(x). In other words, the graph of G(x) will be closer to the x-axis compared to the graph of F(x), which is equivalent to compressing the graph of F(x) vertically.

Therefore, the statement that best compares the graph of G(x) with the graph of F(x) is "The graph of G(x) is the graph of F(x) compressed vertically".

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Suppose that F(x) = x^2 and G(x) =4/5x^2 Which statement best compares the graph of G(x) with the graph of F(x)? The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis. The graph of G(x) is the graph of F(x) stretched vertically. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis. The graph of G(x) is the graph of F(x) compressed vertically.

Answer:

$183.3

Step-by-step explanation:

Ruth uses healthy credit to finance $2,200 for a hearing aid how much would she have to pay each month to pay back the loan in exactly 1 year

Ruth took a loan of $2,200

1 year = 12 months

Hence, the amount she would be paying monthly is calculated as:

$2,200/12 months

= $2,200/12

= $183.33333333

Approximately = $183.3

Therefore, Ruth would be paying $183.3 monthly.

Answer:

Brand x: 80

Brand y: 45

Step-by-step explanation:

x + y = 125

20x + 15y = 2275

    -20x - 20y = -2500

(+)  20x + 15y = 2275

--------------------------------

               -5y = -225

y = 45

x + y = 125

x + 45 = 125

x = 80

Answer:

Brand x: 80

Brand y: 45

Answer:

x=15

Step-by-step explanation:

x/3+ 10 = 15

Subtract 10 from each side

x/3+ 10-10 = 15-10

x/3 = 5

Multiply each side by 3

x/3 *3 =5*3

x = 15

2.4kg.,

..

hope it helps

Answer:

A. D. and I'm not sure if there is more correct

the final equivalent expression is 2(a - 1) / 3a2 for the expression 3a2-6a/3a3 can be simplified by factoring out the greatest common factor in the numerator and denominator.

The greatest common factor of the numerator is 3a, which can be factored out as follows:

3a(2a - 2) / 3a(3a2)

The 3a in the numerator and denominator cancel out, leaving:

2a - 2 / 3a2

Therefore, the expression is equivalent to (2a - 2) / (3a2).

This expression can be further simplified by factoring out a 2 in the numerator:

2(a - 1) / 3a2

So, the final equivalent expression is 2(a - 1) / 3a2.

In summary, the expression 3a2-6a/3a3 simplifies to 2(a - 1) / 3a2, which is the same as 2a - 2 / 3a2 after factoring out the greatest common factor. It is important to note that we assume the denominator does not equal zero because division by zero is undefined and not a valid mathematical operation.

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Answer:

47.7 grams.

Step-by-step explanation:

To find the average value of k(x) for 1 < x < 8, we need to consider the given average values for the intervals (1, 5) and (5, 8) separately and then calculate the overall average value.

Let's denote k(x) as K(x) to represent the original function and define the average values as follows:

Average value of K(x) for 1 < x < 5 = 6

Average value of K(x) for 5 < x ≤ 8 = 8

To calculate the overall average value, we need to consider the lengths of the intervals (1, 5) and (5, 8) relative to the interval (1, 8).

The length of the interval (1, 5) is 5 - 1 = 4 units, and the length of the interval (5, 8) is 8 - 5 = 3 units. The length of the interval (1, 8) is 8 - 1 = 7 units.

Now, let's calculate the weighted average by multiplying each average value by the corresponding interval length and then dividing by the total interval length:

Average value of K(x) for 1 < x < 8 = [(Average value for (1, 5) * Length of (1, 5)) + (Average value for (5, 8) * Length of (5, 8))] / Length of (1, 8)

Average value of K(x) for 1 < x < 8 = [(6 * 4) + (8 * 3)] / 7

Average value of K(x) for 1 < x < 8 = (24 + 24) / 7

Average value of K(x) for 1 < x < 8 = 48 / 7

Therefore, the average value of k(x) for 1 < x < 8 is approximately 6.857.

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Answer:

My answer to the question is 9×n=9n.

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

Last week, Danielle was paid $979.75.

The weekly base compensation is $625.

8.25% is the commission.

Items sold for a profit of $4300

The commission is equal to

Total earnings last week equaled base pay for each week plus commission.

Last week, Danielle was paid $979.75.

A commission is a fee that is charged by a professional for their services. This fee is typically a percentage of the total cost of the project or service that they are providing. The commission is used to compensate the professional for their time, effort, and expertise in completing the project or service.

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Step-by-step explanation:

10²+6²

100+36=136

square root of 136

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

15%

Step-by-step explanation:

40=100%

20=50%

4=10%

2=5%

10%+5%=15%

4+2=6

Answer:

Step-by-step explanation:

Let the height of each kite be h.

The h is opposite to angle of elevation and the sting length is hypotenuse of the formed triangle.

Kattie's kite:

Matt's kite:

Kattie's kite is flying higher as 532 ft > 466 ft

To calculate the average rate of change of a function from x = -1 to x = 1, we need to find the difference in the function's values at those two points and divide it by the difference in the x-values.

Let's denote the function f(x). The average rate of change (AROC) is given by:

AROC = (f(1) - f(-1)) / (1 - (-1))

To determine the function's values at x = 1 and x = -1, we need more specific information or a graph of the function f(x).

Without that information, we cannot provide an accurate answer or simplify the fraction.

If you can provide the function's equation or a graph, I would be more than happy to assist you in finding the average rate of change.

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The angle measure of m∠KGH = 48°.

And the length of the segment JF = 16 cm.

A rhombus is one type of parallelogram and has 4 sides and 4 vertices.

Every side is equal in length and opposite angles are equal.

Given:

Quadrilateral HGFJ is a rhombus.

GF=16 cm and m∠GHK=42°.

The diagonals of the rhombus bisect each other at the right angle.

So,

m∠KGH = 180 - 90 - 42

m∠KGH = 48°.

And JF = GF = 16 cm.

Therefore, m∠KGH = 48°.

And JF = GF = 16 cm.

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