if a cylinder has a volume of approximately 125.6 cubic cm and has a height of 10cm what is the length of the radius

We can find the compositions f o g, g o g, and f o g by plugging the function expressions into each other and simplifying.

f o g(n) = f(g(n)) = f(3n - 1) = 2(3n - 1) + 1 = 6n - 1

g o g(n) = g(g(n)) = g(3n - 1) = 3(3n - 1) - 1 = 8n - 4

f o g(n) = f(g(n)) = f(3n - 1) = 2(3n - 1) + 1 = 6n - 1

g o f(n) = g(f(n)) = g(2n + 1) = 3(2n + 1) - 1 = 6n + 2

Therefore, the compositions are:

f o g(n) = 6n - 1

g o g(n) = 8n - 4

f o g(n) = 6n - 1

g o f(n) = 6n + 2

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Answer:

C

Step-by-step explanation:

P(x)=R(x)-C(x)

=-0.6x³+900x²-400x+700-(400x²+300x)

=-0.6x³+500x²-700x+700

Answer:

8,8 is correct answer please Like me

Answer:

Step-by-step explanation:

scale factor=4

The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400

Given,

In the question;

Sin(a) = 1/4 and cos(b) = -3/5

with a and b both in the interval [\(\frac{\pi }{2} ,\pi\))

To find the sin(a + b) and cos (a - b)

Now, According to the question:

We know that :

Sin (b) =   \(\sqrt{1-cos^2b}\) = 4/5

Cos (a) = - \(\sqrt{1-sin^2a} = - \frac{\sqrt{15} }{4}\)

∴ Sin(a + b) = Sin(a) Cos(b) + Cos(a) Sin(b)

  Sin(a + b) = 1/4. (-3/5) + \(-(\frac{\sqrt{15} }{4} )\) . 4/5

   Sin(a + b)  =   \(-\frac{3+4\sqrt{15} }{20}\)

∴ Cos (a -b) = \(cos^2a -sin^2b\)

Cos (a -b) = \((-\frac{\sqrt{15} }{4} )^2\) - \((\frac{4}{5} )^2\)

Cos (a -b) = 119/400

Hence, The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400 .

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Answer:

that's false

Step-by-step explanation:

3.2 is like 3x2 which equals 6

Hope this helps sorry if i'm wrong loll

Answer:

Step-by-step explanation:

   1, 238.46 total money

-      975.00 money spent

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

      263.46

Luis walks 69.4 ft between points A and B.

To determine how far Luis walk between points A and B, we can sketch the diagram as shown in the attached image.

Note: height of the triangle = 48 - 4.5 = 43.5 ft

Using the image and trigonometric ratio:

Let the distance from point B to the building be x.

tan 34° = 43.5/x (opposite/adjacent)

x = 43.5/(tan 34°)

x = 64.49 ft

Also,

tan 18° = 43.5/(x + AB)

tan 18° = 43.5/(64.49 + AB)

(64.49 + AB) = 43.5/(tan 18°)

64.49 + AB = 133.88

AB = 133.88 - 64.49

AB = 69.39 ft

AB = 69.4 ft

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Answer:

13,440 per year.

Step-by-step explanation:

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants. (LoL)

Answer:

4

Step-by-step explanation:

to find the mean you add up all  of the numbers and then divide by the numbr of numbers there are. So to add them all up that will be 3+5+0+4+7+5+5+3=32

so then you divide 32 by 8 which equals 4.

So therefore your answer is 4.

Please give me brainliest.

sales representative or salesperson who acts as an intermediary between the producers of unique decorative glass items, wind chimes, and picture frames and the gift shop owners in Savannah.

She offers the convenience of allowing the store owners to order from her instead of directly from the individual producers she represents.

As a sales representative, Dolly's role involves building relationships with gift shop owners, showcasing the products she represents, and facilitating the ordering process. She may provide information about the products, handle inquiries, negotiate prices and terms, and ensure smooth transactions between the producers and the gift shops.

Dolly acts as a bridge between the producers and the retailers, streamlining the supply chain and making it easier for the gift shop owners to access a variety of unique decorative items from multiple producers through a single point of contact.

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Answer:

8

Step-by-step explanation:

Given that:

Number of white balloon = 24

Number of maroon Ballon = 32

Number of orange Ballon = 16

To obtain the greatest number of arrangements ;

Find the greatest common factor of 24, 16 and 32

Factors of ;

24 = 1, 2, 4, 6, 8, 12, 24

16 = 1, 2, 4, 8, 16

32 = 1, 2, 4, 8, 16, 32

Hence, the greatest factor common to all three is : 8

Hence greatest number of arrangement that can be achieved is 8

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

-7

Step-by-step explanation:

nth term of a geometric sequence is given by ar^(n-1),

where a is first term, r is the common ratio.

a = 896. ratio = -448/896 = - 0.5.

8th term = (896) (-0.5)^(8-1)

= (896) (-0.5)^7

= -7

When the measure of two vertical angles are 8x-18 and 6x+14, x is A. 16.

It should be noted that vertically opposite angles are equal. In this case, we have to equate both angles given. This will be illustrated as:

Angle 1 = Angle 2

8x - 18 = 6x + 14

Collect like terms

8x - 6x = 14 + 18

2x = 32

Divide

x = 32/2

x = 16

The value of x is 16.

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Answer:

Acute i think

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

For the given system of equations there is no solution.

The given system of equations are -7x+7y=8 -----(i) and -14x+14y=14 -----(ii).

Multiply equation (i) by 2, we get

-14x+14y=16  -----(iii)

Subtract equation (ii) from equation (ii), we get

-14x+14y-(-14x+14y)=16-14

-14x+14y+14x-14y=2

0≠2

So, the is no solution

Therefore, for the given system of equations there is no solution.

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To determine over which interval the function h(t) = (t + 3)^(2) + 5 has a negative average rate of change, we need to find the intervals where the function is decreasing.

The average rate of change of a function over an interval is given by the slope of the secant line connecting the endpoints of the interval. If the function is decreasing over an interval, the slope of the secant line will be negative.

To find where the function is decreasing, we can examine its derivative. Taking the derivative of h(t) with respect to t:

h'(t) = 2(t + 3)

The derivative h'(t) represents the slope of the tangent line at any point on the graph of h(t). Since h'(t) = 2(t + 3), it is always positive except when t = -3, where it is zero.

Therefore, the function h(t) is always increasing except at t = -3, where it has a local minimum. Hence, there is no interval over which h(t) has a negative average rate of change.

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Answer:

|x| = 10

should be your answer

a. Using Hypothesis tests, the mean fish length in the Red River population is significantly different from the population in the Coldwater River.

b. The variance in fish length in the Red River population is significantly different from the variance in the Coldwater population.

a) To conduct a hypothesis test to see if the mean fish length in the Red River population is different from the population in Coldwater River, we would use a two-sample t-test.

We would first set up the null and alternative hypotheses, calculate the test statistic, and determine the p-value.

If the p-value is less than the significance level (e.g. 0.05), we would reject the null hypothesis and conclude that the mean fish length in the Red River population is significantly different from the population in the Coldwater River.

b) To conduct a hypothesis test to see if the variance in fish length is different in the Red River population compared to the variance in the Coldwater population, we would use a two-sample F-test.

We would first set up the null and alternative hypotheses, calculate the test statistic, and determine the p-value. If the p-value is less than the significance level (e.g. 0.05), we would reject the null hypothesis and conclude that the variance in fish length in the Red River population is significantly different from the variance in the Coldwater population.

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Answer:

50 (mph)    = rate of passenger train

Step-by-step explanation:

Let the rate of  the freight train  =   R

Let the rate of the  passenger train  be R +  30

The freight train  has  been  traveling for 2 + 3   =  5 hours

And the passenger train has  been traveling for  3 hours

And they  have traveled the same distance   when  the passenger  train  overtakes the freight train

So    using rate * time  = distance we have that

R(5)  = (R + 20) 3      simplify

5R  =  3R  +  60     subtract 3R from  both sides

2R  = 60           divide  both sides  by  2

R = 30   (mph)  = rate of freight train

R +  20  =  50 (mph)    = rate of passenger train

i like chicken nuggets

Answer:

what the heck is this

Step-by-step explanation:

The radius of the area the sprinkler has watered is 8.06 yards.

Rotation is spinning around a fixed point with a fixed radius in circular motions.

It is given that a sprinkler rotates 360 degree

The area watered is 204 sq. yards

Radius = ?

A sprinkler rotates in circle

Therefore the area of the circle = π r²

204 = π r²

204 * 7 /22 = r²

r² = 64.91

r = 8.06 yards

Therefore the radius of the area the sprinkler has watered is 8.06 yards.

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The weight of sand is 26.5 ft³, calculated by dividing the relative density of 2.65 by the absolute volume of 10 ft³. The weight of sand is not directly determined as its density is given in relative density.

Given: The relative density of sand is 2.65 and absolute volume of sand is 10 ft³To Find: The weight of sand

Given, relative density of sand = 2.65

Absolute volume of sand = 10 ft³

The density of the material is given by Density = Mass/Volume

Thus Mass = Density x Volume= 2.65 x 10= 26.5 ft³

Therefore, the weight of sand is equal to the mass of sand which is 26.5 ft³.The weight of sand is 26.5 ft³.Note: As the Density of sand is given in relative density, so we cannot directly determine the weight of sand.

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According to the given condition, Carlos was using the self-management skill of self-monitoring.

By recording his adherence to the rules at the end of each 30-minute interval, Carlos was able to keep track of his behavior and assess whether he followed the rules or not. This practice of self-monitoring helps individuals become more aware of their actions and make necessary adjustments. In this case, Carlos used the recording of happy, sad, and neutral faces as a way to visually represent his adherence to the rules, providing a main answer to his self-management efforts. This self-monitoring process allows for self-reflection and helps individuals in making improvements or maintaining desired behaviors.

In summary, Carlos was using the self-management skill of self-monitoring by recording happy, sad, or neutral faces at the end of each 30-minute interval to assess his adherence to the rules.

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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Answer:

(2, 1 )

Step-by-step explanation:

Using differential calculus

Given

y = (2x - 3)² = 4x² - 12x + 9 , then

\(\frac{dy}{dx}\) = 8x - 12

\(\frac{dy}{dx}\) is the measure of the gradient of the tangent , thus equate to 4

8x - 12 = 4 ( add 12 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Substitute x = 2 into the equation for corresponding y- coordinate

y = (4 - 3)² = 1² = 1

The gradient of tangent is 4 at (2, 1 ) on the curve

The length of the course is 480 m.

Length is used to measure distance. According to the International System of Quantities, length has the dimension of distance. In most measurement systems, length is represented by a base unit from which all other units are derived. The International System of Units (SI) system's fundamental unit of length is the meter.

From the given figure we can infer that W is the mid-point of AB. Therefore we know that AW = WB

Now the distance is given by

5x -110 = 2x +100

or, 5x - 2x = 100 + 110

or, 3x = 210

or, x = 70

Therefore total length = 5x -110 + 2x +100 = 7x - 10 = 490 - 10 = 480 m

Therefore the length is 480 m.

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The largest possible whole-number length for the third side of the triangle is 2 units.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.  The sum of angles in a triangle is 180 degrees.

The triangle inequality theorem can be used to find the largest possible side whole number length for the third side of the triangle with side length 1 and 2 units.

The triangle inequality theorem describes the relationship between the three sides of a triangle

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

If the sides of the triangle are a, b and c . It follows the rule below:

b + c > a

a + c > b

a + b > c

Let the unknown third side be x.

Hence,

1 + 2 > x

x + 2 > 1

x + 1 > 2

Therefore, the largest is 2 units.

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Answer:

x=1584

Step-by-step explanation:

x

12

=132

Step 1: Multiply both sides by 12.

x

12

=132

(

x

12

)*(12)=(132)*(12)

x