Find the amplitude of this function. ​

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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Answer:

  about 1.01 °C per hour

Step-by-step explanation:

We assume the intended temperature function is ...

  t(h) = 18 +4·sin(π/12(h -8))

We are asked for the rate of change when h=9.

__

The rate of change of temperature with respect to time is the derivative of t(h) with respect to h.

  t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))

For h = 9 hours after midnight, the rate of change is ...

  t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3

  t'(9) ≈ 1.01152

The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.

Answer:

20.93 units cubed

Step-by-step explanation:

[tex]V = \frac{3.14(2)^{2}(5) }{3} \\V = \frac{3.14(4)(5) }{3}\\V = \frac{62.8 }{3}\\V = 20.93[/tex]

The surface area of the cone rounded to the nearest whole number is; 289 cm².

We are given the parameters:

Radius; r = 4 cm

Slant height; l = 19 cm

Let us first calculate the base area;

The base is a circle and the area formula for a circle is;

A = πr²

Thus;

A = π(4 cm)²

A = 50.24 cm²

Lateral area;

The circumference of a circle is given by the formula;

C = 2πr

C = 2(π)(4 cm)

C = 25.12 cm

This circumference is the arc length of the sector

The area of the sector is;

 A = 1/2hs

where;

h is the radius of the sector.

s is its arc length

Thus;

A = ¹/₂(19 cm)(25.12 cm)

A = 238.64 cm²

The total surface area is;

SA = 50.24 cm² +238.64 cm²

S.A = 288.88 cm² ≈ 289 cm²

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Answer:

  289 cm²

Step-by-step explanation:

The net for the surface area of a cone is a circular sector representing the lateral area, together with a circle representing the area of the base. The arc length of the sector is equal to the circumference of the base.

__

The area of the circular base is given by the area formula for a circle:

  A = πr²

For the given radius, the area is ...

  A = (3.14)(4 cm)² = 50.24 cm²

The circumference of the circular base is ...

  C = 2πr = 2(3.14)(4 cm) = 25.12 cm . . . . also the arc length of the sector

The area of the sector is ...

  A = 1/2hs . . . . where h is the radius of the sector, and s is its arc length

  A = (1/2)(19 cm)(25.12 cm) = 238.64 cm²

The total surface area is the sum of the base area and the lateral area:

  SA = 50.24 cm² +238.64 cm² = 288.88 cm² ≈ 289 cm²

The surface area of the cone is about 289 cm².

monkey B

Step-by-step explanation:

f(x) = 16x2 + 32x − 9?

Step-by-step explanation:

c beacuse if you subtract 8 by 2 you get 6 times x

Answer:

4 pt = 8 cups

28 qt = 7 gallons

Step-by-step explanation:

We know, from your chart, that 1 p = 2 c

4 p is four times 1 p

so, to scale up 1 pint to 4 pints, we multiply by 4

to figure out what the corresponding number of cups would be, we also have to multiply that value by 4

if                1 p    =    2 c

then          4 p    =    8 c

               (1 x 4)      (2 x 4)

8 cups

--------

If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)

28 / 4 = 7

7 gallons

Answer: The answer is 5+28.

Step-by-step explanation:

First of all, you have to distribute the term in front of the parenthesis into   the term(s) inside of it. In this case, “5-” is not a term because the “-” symbol is following it. However, we can distribute that particular symbol into the parenthesis. We then have 5+ 28 because - x - = +, and 5 x 7 - 5 = 28.

The possible dimension of the third side is 10 units.

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

If two side lengths are given, the third side can be determined using the Pythagoras theorem.

√a² + b ² = c

√6² + 8² = √36 + 64 = 10 units

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Answer:

=1

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Step-by-step explanation:

100% = 3

1% = 100%/100 = 3/100 = 0.03

how many % are 1.8 ? well, as many % as 1% fits into 1.8 :

1.8 / 0.03 = 60%

Answer:

Sorry

Step-by-step explanation:

I not know this one

Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

Answer:

n

6

Mean

11

Average Absolute Deviation (MAD)

4.6667

Step-by-step explanation:

Answer: 81

Step-by-step explanation:

Since x is given, just substitute the value.

5(10) + 31

50 + 31 = 81

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

The given expression is :

[tex]\qquad \sf  \dashrightarrow \:5x + 1[/tex]

now, plug in the values of x as 10

[tex]\qquad \sf  \dashrightarrow \:5(10) + 31[/tex]

[tex]\qquad \sf  \dashrightarrow \:50 + 31[/tex]

[tex]\qquad \sf  \dashrightarrow \:81[/tex]

So, required value is 81

Answer:

  (a)  SW/VW

Step-by-step explanation:

In similar triangles ΔTUS and ΔVWS, corresponding angles are congruent. That means angle W will have the same measure and trig function values that angle U has.

The mnemonic SOH CAH TOA reminds you that the cosine ratio in this right triangle is ...

  Cos = Adjacent/Hypotenuse

__

In ΔVWS, the side adjacent to angle W is side SW. The hypotenuse of the triangle is side VW. Then the cosine of interest is ...

  cos(U) = cos(W) = SW/VW

The similarities/differences observed in the graph is (c) both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis

The equations are given as:

f(x) = 5x² - 3

g(x) = 5x² + 3

Next, we plot the above equations on the same plane (see attachment)

From the attached graph, we can see that:

Hence, the similarities/differences observed in the graph is (c)

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Answer:

v = 164.64

Step-by-step explanation:

Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius.  The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

Answer:

18 inches

Step-by-step explanation:

The most frequent chain length for women's necklaces is 18 inches. This size is appropriate for a lady of medium height and weight.

The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.

Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

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[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]

The statement that is true about the given dot plot is: A. Exactly 2 goals was never scored by the team in a single game.

A dot plot is a graphical representation of data using dots to denote the frequency of one data point in a distribution.

In the dot plot given, for number of goals scored per game, the data point 2 has no dot. Therefore, the statement that is true about the dot plot is: A. Exactly 2 goals was never scored by the team in a single game.

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The statement that is true about whether A and B are independent events is D. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.

Let A be the event that the person rides the bus to school, then:

P(A) = 75/300

P(A) = 0.25

Let B be the event that the person has 3 or more siblings, then:

P(B) = 24/300 = 0.25

P(A/B)=9/24

P(A/B)=0.375

Since P(A/B)=0.375 is different from P(A)=0.25 the events are not independent.

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Answer:

[tex]\sf D. \quad P(A|B)=\dfrac{24}{25}[/tex]

Step-by-step explanation:

General equation for conditional probability

[tex]\sf P(A \cap B)=P(A)\:P(B|A)[/tex]

As we need to find P(A|B) we can rewrite the equation:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

Given:

     [tex]\sf P(A \cap B)=\dfrac{4}{5}[/tex]

     [tex]\sf P(B)=\dfrac{5}{6}[/tex]

Remember that [tex]\sf P(A \cap B)=P(B \cap A)[/tex]

Substitute the given values into the formula:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

[tex]\implies \sf \dfrac{4}{5}=\dfrac{5}{6}\:P(A|B)[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \div \dfrac{5}{6}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \times \dfrac{6}{5}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{24}{25}[/tex]

The combination that denotes the empty set{∅} is motor ∩ bicycle.

Set theory is the mathematical study of well-defined groups of things called elements of the set.

In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:

The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:

= motor ∩ bicycle

This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.

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Answer: motor U bicycle

Step-by-step explanation:

1/5×1/5×1/5=1/125

$ give me a dollar $

10-1 = 9 feet left

9 x 12 = 108 inches

108 / 8 inches per bow = 13.5 bows

she can make 13 bows