Select the correct answer.
Consider function f and its graph.
f(x) = 1/2sin(2x)
what is the amplitude of this function? a. 1 b. pi/2 c. pi/4 d. 1/2

Answer:

2 and 3  

Step-by-step explanation:

2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. 

side ratio:  1/4-------   area ratio: 1²/4²  =  1/16   = 1:16 ratio

3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

The ratio of the perimeters is the same as the scale factor.

 scale 1:4

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Step-by-step explanation:

2C – 3B = 2(1+5n-6n²)-3(n+4n²)

= 2+10n-12n²-3n-12n²

= 2 +7n -24n²

The expression (2C-3B) equals to (-24x²+7x+2)

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression, C = 1+5n-6n² and B = n+4n²

2C = 2+10n-12n²

3B = 3n+12n²

2C-3B = 2+10n-12n² - 3n-12n²

= -24n²+7n+2

Hence, The expression (2C-3B) equals to (-24x²+7x+2)

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Answer:

296 ft²

Step-by-step explanation:   5 18 7 20

There are a few ways to calculate the area of the tihis composit figure.

The one way is to calculate the entire area of the big rectangle with the voided area and substract the smaller voided rectangle

Big rectangle with voided area  

26 × 16   = 26 × 10 + 26 × 6 =  260 + 156 =  416

Small Void Rectangle = 6 × (26 - 2 - 4)

                                    = 6 × 20

                                    = 120

Total area = Big rectangle with voided area - Small Void Rectangle

                 =   416 - 120

                 =  296 ft²

another way is to add up three areas

large filled rectangle +  smaller filled rectangle +  smallest filled rectangle

        10 × 26  +  4 × 6 + 2 × 6

           260 + 24 + 12

                296 ft²

Answer:

416.87, you subtract all from gross pay.

Step-by-step explanation:

546.54-66-21.86-33.89-7.92=416.87

Answer:

-(p-1) (p-6

Step-by-step explanation:

I hope this helps,good luck with everything.

Answer:

1/12

Step-by-step explanation:

Given the following :

Actual height of pyramid = 24 ft

Dimension of scaled model :

Height = 2ft ; width = 1ft

a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.

Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.

(Height of scaled model / height of actual pyramid)

(2ft / 24ft) = 1/12

Answer:

A) The range for the month of October is 6.

C) 35 summarizes the data with a single number.

E) 16 describes how the values vary with a single number.

Step-by-step explanation:

Week 1 | 40 Week 1 | 32

Week 2 | 34 Week 2 | 30

Week 3 | 36 Week 3 | 40

Week 4 | 40 Week 4 | 24

The ordered data can be written out as follows :

October :

34, 36, 40, 40

November :

24, 30, 32, 40

Whole data:

24, 30, 32, 34, 36, 40, 40, 40

Range = maximum - minimum :

October range = 40 - 34 = 6

Summarizing the fat with a single number :

Take the median of the whole data :

1/2(n+1)th term

1/2(9) = 4.5 th term

(34 + 36) /2 = 35

Median for October :

(36 + 40) / 2 = 38

Variation of all values :

Take the range :

40 - 24 = 16

Answer:

3, 3, and y=3

Step-by-step explanation:

got it right on edge

A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,

Ratio = 6/2 = 3

Hence, the ratio of the given polynomial is equal to 3.

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Answer:

[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]

Answer:

[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]

Answer:

900 cm

Step-by-step explanation:

Proportions

1cm  ⇒ 50cm

18cm ⇒ Wcm

W = 18*50/1

W = 900cm

Answer:

The answer is A

Step-by-step explanation:

"The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9" is correct edg 2021

The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".

In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.

For a limit of a function f(x) to exist at a point a,

[tex]\lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex]

That is, it has to approach (a) from both sides toward the same value, thus it cannot be oscillating.

From the table, looking at the value of slightly less than 9,

[tex]\lim_{x \to 9^-} f(x)= 4.73[/tex]

Looking at the value of slightly more than 9,

[tex]\lim_{x \to 9^+} f(x) = -4.73[/tex]

Since the lateral limits are different, the limit does not exist.

The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".

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Answer:

3√7

Step-by-step explanation:

63 can be divided by 9 and 7. The square root of 9 is 3. so it should be 3√7.

Step-by-step explanation:

solution given.

relationship between perpendicular and base is given by tan angle

tan ø=perpendicular/base

ø=tan-¹(4/13)=17.10272897=17° is your answer

Answer:

1) [tex]m\angle x = 35^{\circ}[/tex], 2) [tex]m\angle x = 60^{\circ}[/tex], 3) [tex]m \angle x = 40^{\circ}[/tex]

Step-by-step explanation:

1) Triangle is a right triangle since tangent line is perpendicular to the radius of the circle. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle [tex]x[/tex]:

[tex]m\angle x = 180^{\circ} - 90^{\circ} - 55^{\circ}[/tex]

[tex]m\angle x = 35^{\circ}[/tex]

2) Both triangles are symmetrical right triangles since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle [tex]x[/tex]:

[tex]m \angle x = 180^{\circ} - 90^{\circ} - 30^{\circ}[/tex]

[tex]m\angle x = 60^{\circ}[/tex]

3) The figure is formed by two symmetrical right triangles. These triangles are right-angled and symmetrical since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in quadrilaterals equals 360°, we find the value of the angle [tex]x[/tex]:

[tex]m\angle x = 360^{\circ} - 180^{\circ} - 140^{\circ}[/tex]

[tex]m \angle x = 40^{\circ}[/tex]

The picture demonstrates the greenhouse effect because all the grass within the rectangle is green. This is due to the fact that it received the nutrients it required. Carbon dioxide molecules provide the initial greenhouse heating needed to maintain water vapor concentrations. When carbon dioxide concentrations drop, Earth cools, some water vapor falls out of the atmosphere, and the greenhouse warming caused by water vapor drops.

Answer:

si tu multiplicas 90° entre 1 te puede dar 50(2)

Answer: The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Answer:

The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Step-by-step explanation:

I hope that helps!!!!!!!!!!

Step-by-step explanation:

X+3X+90=360

4X+90=360

4X=360-90

4X=270

270÷4=67.5

X=67.5 degrees

Answer:

B (8x7)-23 is the answer

Subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

Subtract 23 from the product of 8 and 7

The product of the 8 and 7 can be written as (8 X 7)

Subtract 23 from (8×7)

(8 X 7) - 23

Thus, subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.

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Answer: Step-by-step explanation:

List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.

Answer:

27.7"

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

a² + 16² = 32²

a² + 256 = 1,024

subtract 256 from both sides

a² = 768

Take the square root of both sides

a = 27.7128129211

a = 27.7"

Answer:

3 ×2

»(3×20) ×(2×20)

»60 × 40

» (60÷10) ×(40÷10)

» 6 × 4

Option C is your answer

Answer:

Step-by-step explanation:

Given expression which gives the distance is 16t².

Here, t = time or duration

For t = 20 seconds,

16t² = 16(20)²

      = 6400 feet

For t = 21 seconds,

16t² = 16(21)²

      = 7056 feet

For t = 22 seconds,

16t² = 16(22)²

      = 7744 feet

For t = 23 seconds,

16t² = 16(23)²

      = 8464 feet

Therefore, complete table will be,

t             20            21           22           23

h         6400       7056       7744     8464    

Answer:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.

The explicit rule of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

1/4, 1/2, 1, 2, 4

This means that [tex]a_1 = \frac{1}{4}[/tex], and:

[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]

So the explicit rule is:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]