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The general solution of the function, y = sin(x), can be found by using the measure of the angles that have sines which equals 0 as follows;

A general solution of a trigonometric function gives all possible solutions of the trigonometric functions and comprises of the integer n.

The given function is presented as follows;

f(x) = 2•sin(x)

The solution of the function is given by the point where f(x) = 0 as follows;

When f(x) = 0

2•sin(x) = 0

Therefore;

sin(x) = 0

Therefore;

x = arcsin(0)

sin(2•π) = 0

sin(π) = 0

Therefore, the solution is the set of whole number multiples of pi

Which gives;

x = -(2•π•n - π) and x = 2•π•n

Please find attached the graph of the function created with the required application.

From the graph of the function, we have that the graph crosses the x–axis at points -π, 0, π, ..., which are multiples of π

The general solution to the function f(x) = sin(x) is therefore;

x = -(2•π•n - π) and x = 2•π•n

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The value of the estimated standard error for the following set of D scores 4, 8, 4, 4 is 1.

The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.

Consider the following set of D scores,

4, 8, 4, 4

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 4 + 8 + 4 + 4

∑D = 20

∑D² = 4² + 8² + 4² + 4²

∑D² = 16 + 64 + 16 + 16

∑D² = 112

Now, the formula for the standard score is given as:

[tex]SS=\sum D^2- \frac{(\sum)^2}{n}[/tex]

SS = 112 - [ (20)² /4 ]

SS = 112 - 100

SS = 12

Now,

[tex]S_{D}=\sqrt{\frac{SS}{n-1} }[/tex]

[tex]S_{D}=\sqrt{\frac{12}{4-1} }[/tex]

[tex]S_{D}=\sqrt{4}\\ S_{D}=2[/tex]

[tex]S_{\overline D}=\frac{S_{D}}{\sqrt{n} }[/tex]

[tex]S_{\overline D}=\frac{2}{\sqrt{4} }[/tex]

[tex]S_{\overline D}=\frac{2}{2}=1[/tex]

Hence, the standard error of the set of D scores is 1.

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The quantity of the new sweaters at a price of $12 is gotten using the slope of 3 to be 36 sweaters

given data

Pa = $120

Qa = 40

Pb = $12

slope of the supply curve is m=3

The slope represents the relationship between the the input variable and the output variable.

The input variable is the price while the output variable is the quantity supplied.

The slope is the factor that multiplies the input to get the output, we therefore solves as follows

= Pb * slope

= $12 * 3

= 36

Therefore at the price of$15 the quantity supplied is 36 sweaters

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Answer:

4 sweaters

Step-by-step explanation:

Pa-Pb /Qa-Qb

Okay, here we have this:

Considering the provided expression, we are going to simplify it, so we obtain the following:

539.A:

Then by properties of exponents we get the following:

Finally we obtain that the given expression is equal to 6.

Using simple multiplication, we concluded that Total coins equals 127 × 10 ⁷

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

People in the United States = 3.1 x 10⁸

each person has 4.1 x 10¹ coins

Total coins = ( 4.1 x 10¹ ) × ( 3.1 x 10⁸ )

Total coins = 12710000000

= 127 × 10 ⁷

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Which property is illustrated in Step 2 ? Option B. Commutative property

How is this explained?

Given:

Step 1 = 10+ 8x - 10 - 4x +4 = 0

Step 2 = 10 + (-10+ 8x) -4x + 4

Here , 8x - 10 = -10 + 8x

This is of the form , A+B = B+A

Commutative property of addition = A+B = B+A

What is the commutative property?

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Given:

1 cup of hot chocolate = 1½ tablespoons of cocoa mix.

70 cups of hot chocolate = x tablespoons of cocoa mix.

Note that 1½ = 1.5

Let's find how much mix will they need below:

Therefore the amount of hot cocoa mix they will need is 105 tablespoons

ANSWER:

105 tablespoons of hot cocoa mix

The correct answer is 1/3x

Option B is the correct answer

Given data:

The expression for the total nummber of pints is Z=yx2.

The given value of y is,

y=10 quarts.

Substitute the given values in the aabove expression.

Z=10x2

=20 pints.

Thus, the total pints is 20

The slope of the line passing through the given pair of points would be [tex]m=\frac{1}{6}[/tex].

Hope this helps!

Answer: 23+42=42+23

how the heak is this a colledge question*_* i learned this in 2nd grade lol

We have rewritten 23 + 42 = 65 as 23 + 42 = 65 using the Commutative Law of Addition.

A number system is defined as a system of writing to express numbers.

The Commutative Law of Addition states that changing the order of the addends does not change the sum.

a+b=b+a

Therefore, we can rewrite 23 + 42 as 42 + 23, and the equation becomes:

42 + 23 = 65

or 42+23=23+42

So, we have rewritten 23 + 42 = 65 using the Commutative Law of Addition.

Hence,  we have rewritten 23 + 42 = 65 as 23 + 42 = 65 using the Commutative Law of Addition.

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Answer: - 18

Step-by-step explanation:

-216 divided by 12 = - 18

(there are 12 months)

Answer:

¼ × 24= 6

:- 6 employees eat at a restaurant

Step-by-step explanation:

please rate as brainliest

Answer:

6

Step-by-step explanation:

In your office, 1⁄4 of the 24 employees eat lunch daily at a restaurant. How many employees eat at a restaurant?

We need to find 1/4 of 24 employees:

because 1/4 = 0.25

0.25 × 24 = 6 employees eat out

Answer:

815/99 (fraction); 8 23/99 (mixed number)

Step-by-step explanation:

the fraction for 0.23 repeating is 23/99

you add 8 in front of it

8 23/99 is the mixed number version

for the fraction version you must multiply 99 to 8 and then add it to 23

8 * 99 = 792

792 + 23 = 815

so

the fraction is 815/99

The crafter should sell the item for $1.44 to make a 20% profit

The amount of profit to be made is 20%

100% + 20%

= 120%

= 120/100

= 1.2

The amount the item can be sold can be calculated as follows

1.20 × 1.2

= 1.44

Hence the item will be sold for $1.44 to make a profit of 20%

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Answer:

Option 4

Step-by-step explanation:

[tex]x^2+10x=-81 \\ \\ x^2+10x+25=-56 \\ \\ (x+5)^2=-56 \\ \\ x+5= \pm \sqrt{-56}=\pm 2i \sqrt{14} \\ \\ x=-5 \pm 2i \sqrt{14}[/tex]

Explanation:

The steps to construct an inscribed square are:

0. Draw the diameter of the circle

1. Place the compass on the point where the circle and diameter intersect

2. Swing an arc the length of the radius from the point on the circle

3. Repeat 2 and 3 for the other intersection point

4. Draw a line through the intersections of the arcs from the previous steps

5. Draw lines between the points on the circle

The step from the options that's not here is swing two arcs above and below the diameter

Answer:

Swing two arcs above and below the diameter

Answer:

What is the role of ethnocentrism in defining the concept of “progress”

Step-by-step explanation:

The continuous function that generated the following table of values is has more than one x-intecept.

A continuous function is one whose graph is continuous throughout without any interruptions or leaps, as the name suggests. In other words, we claim that a function is continuous if we are able to draw its curve (graph) without ever picking up the pencil. Calculus students must learn about a function's continuity because without it, a function cannot be differentiable.

Table

x        y

-3      4

0      -3

1      -2

5      0

11    7

An x-intercept results whenever the function crosses the x-axis and changes sign. Additionally, when the function's value is zero, it acts as an x-intercept.

In the tables, there are two sign changes (from +4 to -3 and from -3 to +2). It also has one value of zero, and this function has a minimum of three x-intercepts. Therefore, you can infer that the choid b is accurate.

The function has more than one x-intecept.

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Answer:

240%

Step-by-step explanation:

Times the two whole number by five, add the result to top number, divide by denominator.

The water pressure on the submerged object is given by d = P ÷ 64

Pressure is the force that is applied perpendicularly to the area across which it is applied to an object's surface (symbol: p or P).

Gauge pressure, frequently written gage pressure, is the measurement of pressure in proportion to the atmosphere.

Various units are used to express pressure.

The pound-force per square inch (psi), which is equivalent to one newton per square meter (N/m2) in the SI, is the standard unit of pressure in the imperial and American customary systems.

A unit of force is divided by a unit of area to arrive at some of these findings.

a. The given formula is is P=64d

or , d = P ÷ 64

b. at a pressure of 672

d = 672  ÷ 64

or, d = 10.5 feet

Therefore the pressure is 672 pounds per square foot at a depth of 10.5 feet.

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Answer: The answer is 234.7

Step-by-step explanation:

The maximum height reached by the ball is 22 feet

The ball stayed in the air for 1 second

A function can be defined as a rule, law or expression that shows the relationship between two identifiable variables:

Given the function:

h(t) = -16t² + 32t + 6

Where;

To determine the maximum height in feet that the ball reached, we would be required to substitute the value of t as 1

We have:

h(1) = -16(1)² + 32(1) + 6

expand the bracket

h(1) = -16 + 32 + 6

Add the values

h(t) = 22 feet

To determine the time, we have;

-16t² + 32t + 6 = 22

-16t² +32t + 6 - 22 = 0

Add like terms

-16t² +32t - 16 = 0

Factorize further

-16t² + 16t + 16t - 16 = 0

Factorize in pairs

16t( t - 1) + 16 ( t - 1) = 0

Then,

t - 1 = 0

t = 1 second

Thus, the maximum height is 22 feet

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Using fraction multiplication, the answer of  2 2/3 divided by -1 3/7 is [tex]\frac{-4}{5}[/tex]

It is stated as "a multiplied by b" when two numbers, let's say "a" and "b," are multiplied. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then means that 3 gets multiplied by itself twice, meaning 3 + 3 = 6.

Given,

we are to divide 2 2/3 by -1 3/7

[tex]\frac{8}{3}[/tex] × [tex]\frac{-3}{10}[/tex]

⇒ [tex]\frac{-4}{5}[/tex]

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Answer: 20m/s

Step-by-step explanation:

Velocity final= Velocity initial+acceleration*time

Vf=0+4*5= 20m/s

Answer:

a [i can not see d thought so for future can you take the full photo]

Step-by-step explanation:

y÷x

p÷x

The given

The probability of serving rice with dinner

The probability of serving carrots with dinner

The probability of serving neither rice nor carrot is

The ven diagram is

2)

The probability of serving both rice and carrot is

Recall that

Substitute the values, we get

after solving each compound given in the picture

there was a existing solution that is as follows -

a ) ( - ∞ , 1] U [12 , ∞ )

b) ( - ∞ , 8] U [4 , ∞)

inequality, When two integers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order.

A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions.  It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa. Literal inequalities occur when the relationship between two algebraic expressions is shown using the inequality symbol. An inequality in algebra is a mathematical statement that demonstrates the relationship between two expressions.  In other words, the expression on the left should be greater or smaller than the expression on the right.

a ) ( - ∞ , 1] U [12 , ∞ )

b) ( - ∞ , 8] U [4 , ∞)

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The value of X for which expression X = 903 + 0 is true, is;

⇒ X = 903

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is;

X = 903 + 0

Now,

When we add 0 is any number then the result is same number.

So, Solve the expression as;

X = 903 + 0

X = 903

Thus, The value of X for which expression X = 903 + 0 is true, is;

⇒ X = 903

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