Find two values of θ​, 0≤θ<2π, that satisfy the following equation.

Answer:

D. (1, 3)

Step-by-step explanation:

The solution is the coordinates of the intersection of the 2 lines

Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.

Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.

First, let us mark the 50° angle.

Draw a straight line of 4 inches using the ruler as the base.

Keep the protractor on top at one of the ends of the line.

Mark the 50° angle.

Draw a straight line passing through the marked point using the ruler.

Now move the protractor to the other end of the line.

Mark the angle 65°.

Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.

This is a triangle with angles of 50 and 65 degrees.

Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

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In a linear equation, The number of rest stops in the first 200 miles would be 8 or more.  

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

25x > 200

25       25

x > 8

The number of rest stops in the first 200 miles would be 8 or more.  

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The probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

The probability of an event is a number that indicates how likely the event is to occur.

It is expressed as a number in the range from 0 and 1 or it can be expressed using percentage notation, in the range from 0% to 100%

Given is that the probability of a randomely selected fertilized egg will take 21 days to hatch is 0.028.

We can write the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as -

P{E} = {0.028 + (1 - 0.028)}/2

P{E} =  1/2

P{E} = 0.5

Therefore, the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

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The analysis of the number of runners, can be presented as follows;

a. The sequence is a geometric sequence

b. r(3) = 72, which indicates that the number of runners after the third week is 72

c. r(6)/r(5) = (2/3)

d. The recursive rule for r(w) is that the number of  runners in a week is (2/3) × The number of passengers in the previous week

A sequence is an ordered list of items.

The number of passengers currently in the  running club = 243

The amount by which the  number reduces each week =  2/3 the number in the previous week.

a. Therefore, the number of passengers each week can be presented as follows;

First week = 243

Second week = (2/3)  × 243 =  162

Third week = (2/3)³ ×  243

Therefore, the number  of runners in the nth week is; an= (2/3)ⁿ × 243, which is a geometric sequence

b. The number of runners in the wth week, r(w) =  2/3)^w × 243,

Therefore; r(3)  = (2/3)³ × 243  = 72

The meaning of the value is that the number of runners in the third  week, r(3) =  72 runners

c. r(6))/(r(5)) can be obtained as follows;

r(6) = (2/3)^6 × 243

r(5) = (2/3)^5 × 243

r(6)/r(5) = ((2/3)^6 × 243)/( (2/3)^5 × 243) = (2/3)

d. The recursive formula can be obtained as follows;

The number of passengers in a specified week =  (2/3) × The number of passengers in the previous week

r(w + 1) = (2/3)^w  ×  243

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The charge for the third company for the 8 feet of copper pipe as required to be determined is; $8.50.

As evident from the task content;

For the first company; Pipe for $1.50 per foot and a rebate offering $2.00 off the total.

Therefore, total charge is; 8(1.50) - 2 = $10.

For the second company; Pipe for $1.75 per foot and a coupon offering $0.25 off each foot.

Therefore, total charge is 8(1.75) - 8(0.25) = $12.

Hence, since the better deal is; $10.

Ultimately, the charge of the third company whose offer is; $1.50 less than the charge of the better deal is; 10 - 1.50 = $8.50.

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cot (-859°) can be expressed as cot 41° an acute angle which is less than 45°

Trigonometry is used in navigation directions. Estimate the direction you need to place your compass to get a straight line. With the help of a compass and navigation trigonometric functions, it's easy to find a place or find the distance to see the horizon. 

A  Mathematical Statement which contains numbers and variables.

Angle: The two straight lines meeting at the vertex(a common point)

According to the question:

cot (-859) can be expressed as:

cot (-859 + 360x2)= cot (-859 +720)= cot (139)= cot (180 -139)= cot 41°(or)cot(-859) = cot(-859 + 180°x5)= cot (859 +900)= cot (41)°

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Answer: 112 business cards

Step-by-step explanation:

    We will divide the number of business cards by the number of days cards were handed out to see how many cards were handed out per day.

5,376 cards / 48 days = 112 business cards

Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

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Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

Answer:

Step-by-step explanation:

p and q vary inversely:

If p = 18, q = 28, find k:

The equation is:

When p = 72, q is:

We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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The number of touchdowns scored by the defense of the professional football team in the season was C. 10 touchdowns.

The team scored a total of 242 points, and the defense scored about 24% of those points, which is:

0.24 x 242 = 58.08

This means that the defense scored approximately 58 points during the season. If a touchdown is worth 6 points, we can find the number of touchdowns scored by the defense by dividing the total number of points scored by 6:

58 / 6 = 9.67

So the defense scored approximately 9.67 touchdowns during the season. Since we can't have a fraction of a touchdown, the closest whole number answer would be 10 touchdowns.

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The total price of the 50-inch Panasonic Plasma TV is $687.44.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Given that, 50-65 inch TV's $150 rebate and delivery charge is $35.

50 inch Panasonic Plasma TV costs $734.95

Rebate is $150

So, cost of TV is 734.95-150

= 584.95

Cost of TV including delivery charge

= 584.95-35

= 549.95

Here, tax is 25%

So, cost of TV including tax

= 549.95+25% of 549.95

= 549.95+25/100 ×549.95

= 549.95+0.25×549.95

= 687.4375

Therefore, the total price of the 50-inch Panasonic Plasma TV is $687.44.

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Answer:

Step-by-step explanation:

90 degrees is the answer because there is no movement

In response to the given question, we have that The baseball takes 3 function seconds to reach its highest point as a result.

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The formula for the height of the baseball is [tex]h(t) = -4.9t2 + 29.4t + 1.[/tex]

A = -4.9 and B = 29.4 in this instance. The vertex's x-coordinate is as follows:

[tex]x = -b/2a = -29.4/(2*(-4.9)) = 3[/tex]

We need to assess h(3) in order to determine the maximum height:

[tex]h(3) = -4.9(3)^2 + 29.4(3) + 1 = 44.1[/tex]

Hence, the baseball may reach a height of up to 44.1 metres.

The x-coordinate of the vertex, which we discovered to be 3, may be used to determine how long it takes the baseball to reach its maximum height. The baseball takes 3 seconds to reach its highest point as a result.

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The correct statements regarding the translation are given as follows:

A translation changes only the position of the figure, keeping angle measures and orientation correct, hence the second and the third options are correct.

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Answer:

(f-g)(x) = -5x^3 + 8x - 8.

(f-g)(-2) = 16.

Step-by-step explanation:

To find (f-g)(x), we need to subtract g(x) from f(x) and simplify:

(f-g)(x) = f(x) - g(x)

= (-5x^3 - 4x^2 + 8x) - (-4x^2 + 8)

= -5x^3 - 4x^2 + 8x + 4x^2 - 8

= -5x^3 + 8x - 8

Therefore, (f-g)(x) = -5x^3 + 8x - 8.

To find (f-g)(-2), we substitute x = -2 into the expression we just found:

(f-g)(-2) = -5(-2)^3 + 8(-2) - 8

= -5(-8) - 16 - 8

= 40 - 24

= 16

Therefore, (f-g)(-2) = 16.

Answer:

the expression

y -7/x-5 = 1/3 or 2/6

Step-by-step explanation:

Cross multiplying both sides:

3(y-7) = x - 5

3y - 21 = x - 5

3y - x = 21 - 5

3y - x = 16

The simplified equation is 3y-x=16.

The cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.

Cost is the amount of money or resources that must be exchanged for goods, services, or activities. It is typically associated with the purchase of goods and services and related to production, labor, and other expenses. Cost is a crucial factor in business operations, as it affects both the budget and the profitability of any venture. In addition to monetary costs, businesses may also incur opportunity costs, which are the costs associated with foregoing alternative investments or activities.

The cost of 17 computers, 18 printers, 5 DVDs, and 30 CDs would depend heavily on the type, brand, and quality of the items being purchased. However, an estimate of the cost of these items can be made.

Computers can range from $200 to $2,000, depending on the type and specs. An average cost for 17 computers would be around $10,000. Printers can range from $50 to $500, depending on the type and specs. An average cost for 18 printers would be around $2,000. DVDs can range from $2 to $25, depending on the type and specs. An average cost for 5 DVDs would be around $50. CDs can range from $1 to $10, depending on the type and specs. An average cost for 30 CDs would be around $75.

In total, the cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.

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We can simplify this expression by multiplying the cube roots together:

³√5 × ³√5 × ³√5 = ³√(5 × 5 × 5)

Simplifying the product inside the cube root, we get:

³√(125)

Therefore, the cube root of 5 × 5 × 5 is equal to:

³√5׳√5׳√5 = ³√125 = 5

The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.

Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.

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Answer:

Step-by-step explanation:

The Pythagorean Theorem states that: a^2+b^2=c^2.

Therefore 6^2+8^2= c^2

36+64= 100^2

Then square root that. The square root of 100 is 10.

The length of XY is 6. The length of XZ is 10. The difference is 4 units

Answer:

[tex]3[/tex]×[tex]5[/tex][tex]=15[/tex]

[tex]15+1=16[/tex]

Answer:true

Step-by-step explanation:

The area of the irregular room is  82.5 ft²

It is important to note that the area of a triangle is represented with the formula

A = 1/2bh

Given that;

From the image shown, we have that;

Area of the figure = sum of the areas of the two triangle

This represented as;

Area = 1/2 × 14(6) + 1/2 × 9(9)

expand the brackets

Area = 1/2 (84) + 1/2(81)

divide the values

Area = 42 + 40. 5

Add the values

Area = 82.5 ft²

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Answer:

a. 480       Then 384

b. 845       Then 591.5
c. 1,189      Then 653.95
d. 153.75   Then 149.90625
e. 315        Then 299.25

f. 430.5     Then 419.7375

The image was created by translating 5 units down, 5 units up, 1 unit down, and 1 unit up. ABCD and A'B'C'D' are two polygons on the graph.

The first polygon, ABCD, has vertices at (1,-1), (3,-5), (7,-5), and (8,-5). (5,-1). The vertices of the second polygon, A'B'C'D', are located at (1,-6), (3,-10), (7,-10), and (8,-10). (5,-6).

Vertices are points in a geometric figure that define its shape. A vertex is defined mathematically as the intersection of two or more lines, edges, or curves.

We can compare the coordinates of the two polygons to determine the translation that was used to create the image. The first coordinate of the two polygons is (1,-1) and the second coordinate is (1,-1). (1,-6). The y-coordinate difference is 5 units, so the translation is 5 units down. The two polygons' second coordinate is (3,-5) and (3,-10). The y-coordinate difference is 5 units, so the translation is 5 units down.

The second polygon's third coordinate is (7,-5) and (7,-10). The y-coordinate difference is 5 units, so the translation is 5 units down. (5,-1) is the fourth coordinate of both polygons (5,-6). The y-coordinate difference is 5 units, so the translation is 5 units down.

The image was translated 5 units down, 5 units up, 1 unit down, and 1 unit up.

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