Graph the function.



f(x)=−sin(x)

Answer:

180 + s <= 450; s <= 270

Step-by-step explanation:

s = amount of money spent on music.

max amount that can be spent on s = 450 - 180 = 270 so s <= 270.

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

Answer:

28 sets

Step-by-step explanation:

Because 10x3=30+73=103 then 103+200=303 keep that in mind then you    

                     ^

                 3 sets

Do 549-303=246=25 sets then 25 sets+3sets=28 sets

Answer:

Inequality: 10s + 273 ≥ 549

Answer: s ≥ 27.6

Step-by-step explanation:

Have a good day :)

The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.

An outlier is an observation that is much higher or lower than the other observations in a dataset.

In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.

Therefore, 9.9 lbs is the outlier in this dataset.

To find the outlier in this dataset, we can calculate the interquartile range (IQR).

This is done by first calculating the first quartile (Q1) and third quartile (Q3).

The Q1 for this dataset =3.75

and the Q3= 4.675.

IQR= Q3 - Q1

= 0.925.

We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.

The upper boundary is Q3 + (1.5 x IQR)= 6.4865.

Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.

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Answer:

C: 52 degrees

Step-by-step explanation:

What is the question? Please specific!

Answer:The angles are the only constraint here that counts.  If one of the three interior angles of a supposed triangle is 50 degrees and another is 80 degrees, then the third angle must be 50 degrees.  Thus, we have a 50-50-80 triangle, which is isosceles though not a right triangle.  If 4 feet is a measure of one of the equal sides of a supposed triangle, then obviously the adjacent side also has measure 4 ft.

The set of angles remains the same (50-50-80), but subject to the constraint mentioned above, the measure of any one of the sides has infinitely many possible values, so long as those values are positive.

Step-by-step explanation:

Answer:

  156,240,000 miles

Step-by-step explanation:

The speed of light is about 186,000 mi/s. The distance is then ...

  (14 min)(60 s/min)(186,000 mi/s) = 156,240,000 mi

Mars was about 156 million miles from Earth.

The shape represents an isosceles trapezoid

The value of CP is 1.1 units

The given parameters are:

The diagonals of an isosceles trapezoid are congruent.

This means that:

\(CA = BD = 2.8\)

Also, we have:

\(CA = CP + AP\)

Substitute values for CA and AP

\(CP + 1.7 = 2.8\)

Subtract 1.7 from both sides

\(CP = 1.1\)

Hence, the value of CP is 1.1 units

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A set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts is generalization. (Option D)

Statistical generalization refers to the inference of the results from a sample and applying it to a population. It involves statistically calculating the likely parameters of a population using data from a random sample of that population i.e., the sample must be selected randomly, and sample size must be large enough to be considered a representative of the population. Generalization is an essential component of the wider scientific process where researchers evaluate how well researchers consider their experimental results i.e., sample statistics from a sample can be extended to the population as a whole. Hence, generalization is used to make estimates of population values or facts.

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Answer:

A because this can be plotted linear to its

1. we have to find what number lie at A and B , and that too between and 1 and 2 , so these two numbers must be decimal numbers!! So let's find the number of scales between 1 and 2 , we get 8 scales !! So the question is how much place 1 scale will occupy ?? we have to find certain numbers between 1 and 2 , suppose between 1 and 2 we have 1 unit and those 1 unit occupies 8 scales !! so much place 1 scale occupies ?? to get it divide 1 by 8 and we get 0.125 !! so between 1 and 2 ,each blank space or scale occupies 0.125 unit!! now what numbers lie at A ? count the number of scale between 1 and A , we get 3 scales ! now multiply 3 by 0.125 , we get 0.375 , add 1 to 0.375 , we get 1.375 !! hence 1.375 lies at A ! now we have to find which number lies at B ? count the number of blanks or scale , we get 4 ! multiply 4 by 0.125 and we get 0.5 ! add this 0.5 to 1 , we get 1.5 ! therefore the number 1.5 lies at B !!

2. for 2nd number solution refer to the attachment! !

Answer:

311 x 27 = 8397

Step-by-step explanation:

first find the factors of your number 8 397 by dividing continuously starting with the smallest value

8397/3 = 2799

2799/3 = 933

933/3   = 311

311/311  = 1

therefore 311 x (3 x3 x3) = 8397

                311 x 27           = 8397

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle

The given equation is

4x² + 9xy + 4y² - 36y - 125 =0

The above equation is an illustration of a circle equation

The standard form of a circle equation is

(x - a)² + (y - b)² = r²

Where

(a, b) is the center

r is the radius

While the general form of the equation is

ax² + fx + by² + gy + c =0

Where c is a constant

Recall that, we have

4x² + 9x + 4y² - 36y - 125 =0

This is the general form

We can convert to the standard form as follows

Divide through by 4

x² + 2.25x + y² - 9y - 31.25 =0

Next, we complete the square of the x-terms and the y-terms

For the x-terms, we have

x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²

x² + 2.25x = (x + 2.25/2)² - (2.25/2)²

For the y-terms, we have

y² - 9y = y² - 9y + (9/2)² - (9/2)²

y² - 9y = (y - 9/2)² - (9/2)²

Substitute the new x and y terms

So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes

(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0

Evaluate the sum of like terms

(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0

So, we have

(x + 9/8)² + (y - 9/2)² = 3377/64

Using the above as a guide, we can conclude that the conic section of the equation is a circle

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The inequality system that has the solution set shown will be C. x squared + y squared less-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2.

It should be noted that inequalities are simply used to compare two expressions that are unequal.

It can be seen that the solution set that's illustrated is:

x² + y² <= 16

-1/4x² + 2 <= y

Therefore, the inequality system that has the solution set shown will be option C.

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Answer: 4.25

Step-by-step explanation:

2.5/100 = 0.025

0.025 × 170 = 4.25

but the question there is any goats in 2.5 cm ??

that is impossible

Answer:

the number of diagonals can be found by n *n minus 3 by 2

a) the number of all possible diagonals drawn for having 7 side = 14 diagonals

b) the number of all possible diagonals drawn for having 10 side=35 diagonals

Answer:

f(x)= 0.90(0.59x)

Step-by-step explanation:

The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90

Also we need to know that 0.59x means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59x)

The decimal number which is represented by the light bulbs shown in the figure is 39.0

We have to find the decimal number which is represented by the the light bulbs.

Let us take the light bulbs as 1 and not lighted are 0.

The binary numeral of the light bulbs shown in the figure is 00100111.

Now let us find the decimal number.

(0×2⁷)+(0×2⁶)+(1×2⁵)+(0×2⁴)+(0×2³)+(1×2²)+(1×2¹)+(1×2⁰)

=32+4+2+1

=39

Hence, 39.0 is the decimal number which is represented by the light bulbs shown in the figure.

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The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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The area of the rectangle is  (14 + 1/3)  square yards.

We know that for a rectangle of length L and width W, the area is:

A = L*W

Here we know that:

L = (4 + 2/3) yards.

W = (3 + 1/4) yards.

We just need to take the product between these two numbers, we will get:

area =  (4 + 2/3)* (3 + 1/4) yd²

Expanding the product:

(4 + 2/3)* (3 + 1/4) yd² = [ 4*3 + 4*(1/4) + (2/3)*3 + (2/3)*(1/4)] yd²

                                    = [ 12 + 1 + 2 + 2/6] yd²

                                     = (14 + 1/3)  yd²

That is the area of the rectangle.

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Answer:

7*100=700(times)

70/700=0.1 =1/10 millimeters long

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

1. A. You allow the passenger to board his flight when the passenger has a weapon.

2. B. You select the passenger for further inspection when the passenger has no weapon.

Explanation:

1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.

2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.

Answer:

Michelle finished at 8:10 pm.

Step-by-step explanation:

85 mintues can be simplified to 1hr and 25 minutes, so add 85 to 6:45 and you get 8:10 :)  If im wrong im sorry

The time at which Michelle finish her dance class is given by the equation A = 8 : 10 PM

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the time at which Michelle finished her class be A

Now , the time required for the dance class = 85 minutes

So , the time required for the dance class = 1 hour 25 minutes

The time at which Michelle started her class = 6 : 45 PM

So , the time at which Michelle finished her class A = time at which Michelle started her class + time required for the dance class

Substituting the values in the equation , we get

The time at which Michelle finished her class A = 6 : 45 PM + 1 hour 25 minutes

On simplifying the equation , we get

The time at which Michelle finished her class A = 8 : 10 PM

Hence , the equation is A = 8 : 10 PM

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Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

\(\begin{array}{ccll} books&\$\\ \cline{1-2} 12 & 8\\ 3& x \end{array} \implies \cfrac{12}{3}~~=~~\cfrac{8}{x} \\\\\\ 4 ~~=~~ \cfrac{ 8 }{ x }\implies 4x=8\implies x=\cfrac{8}{4}\implies x=2\)

Answer:

2$

Step-by-step explanation:

If 12 paperback books could be purchased for 8$,

We need to divide by 4 on each side to find the answer.

Therefore, 3 paperback books costs 2$.

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