The measure of an angle is 76.6 less than the measure of its supplementary angle

Answer:

d) 360

Step-by-step explanation:

To solve this problem, we can use a Venn diagram. Let R, C, and J represent the sets of students who like rock, country, and jazz, respectively. We can fill in the diagram with the given information:

       J

      / \

     /   \

    /     \

 RC-----C

    \     /

     \   /

      \ /

       R

We know that:

The total number of students surveyed is 500.

9 students like all three types of music, so we can put 9 in the intersection of all three sets (RCJ).

24 like rock and country, so we can put 24 in the intersection of R and C (RC).

29 like rock and jazz, so we can put 29 in the intersection of R and J (RJ).

29 like country and jazz, so we can put 29 in the intersection of C and J (CJ).

We can calculate the number of students who like only one type of music by subtracting the number of students who like two or three types of music from the total number of students surveyed:

Total = R + C + J - RCJ

500 = 204 + 164 + 129 - 9

We can use this equation to solve for R, C, and J:

R = 204 - 24 - 29 - 9 = 142

C = 164 - 24 - 29 - 9 = 102

J = 129 - 29 - 29 - 9 = 62

So there are 142 students who like rock only, 102 students who like country only, and 62 students who like jazz only. Therefore, the total number of students who like exactly one type of music is:

142 + 102 + 62 = 306

Therefore, the answer is (d) 360.

By answering the above question, we may state that John consequently variable  sold 35 notepads.

A variable is anything that may be altered in the context of an experiment or mathematical idea. A single symbol is frequently used to denote a variable. Generic symbols for variables are the letters x, y, and z. Variables are qualities with a wide range of values that may be investigated. These include characteristics like height, age, wealth, place of birth, academic standing, and kind of residence, to mention a few. The two primary groups of variables can be separated using numerical and categorical approaches.

Let's define the variables first:

Let's call John's sales of notebooks "n" the quantity.

Each notebook costs $1.50, hence the whole profit from notebook sales is $1.50.

John earned a total of $92.50, according to the issue, thus we can create the following equation:

$40.00 + 1.5n = $92.50

Now that "n" is solved, we can:

$1.5n = $92.50 - $40.00

$1.5n = $52.50 \sn = 35

John consequently sold 35 notepads.

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Answer:

Step-by-step explanation:

There won't be enough aphids to completely harm the maize plants because 10,000 is less than 2,000 50 (the maximum number of aphids that can be on all the plants without killing them).

To determine if there are enough aphids to kill the corn plants, we need to know the total number of aphids on each plant after 3 weeks. Let's assume that on average, each plant has 200 aphids after 3 weeks.

Then, the total number of aphids in the field would be:

50 plants × 200 aphids/plant = 10,000 aphids

Since 10,000 is less than 2,000 × 50 (the maximum number of aphids that can be on all the plants without killing them), there will not be enough aphids to completely destroy the corn plants.

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Therefore, Lisa will need 52 square inches of purple paint to paint all sides of her letter L.

Surface area is the measure of the total area that the surface of a three-dimensional object occupies. It is the sum of the areas of all the faces, including the base(s) and any lateral faces, that make up the object. Surface area is usually expressed in square units, such as square centimeters, square meters, square inches, or square feet, depending on the unit of measurement used. The surface area of an object is an important factor in many physical and mathematical calculations, such as calculating the amount of material needed to cover an object, the rate of heat transfer, and the amount of friction between surfaces.

by the question.

To find the total surface area that Lisa will need to paint purple, we need to first calculate the surface area of each piece of wood and then add them together.

The longer piece of wood has a surface area of:

2 x 7 = 14 square inches on one side

2 x 2 = 4 square inches on the other side

2 x 5 = 10 square inches on the third side

So, the total surface area of the longer piece is 14 + 4 + 10 = 28 square inches.

The shorter piece of wood has a surface area of:

5 x 2 = 10 square inches on one side

2 x 2 = 4 square inches on the second side

5 x 2 = 10 square inches on the third side

So, the total surface area of the shorter piece is 10 + 4 + 10 = 24 square inches.

To get the total surface area of the letter L, we add the surface areas of the two pieces of wood together:

28 + 24 = 52 square inches.

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The word or phrase that describes the probability that Charlotte will win a prize, with a probability of 12%, is D. likely.

Probability refers to the likelihood of an expected outcome occurring, given the many possible chances.

Probability lies between zero and one, depending on the level of certainty or otherwise of the successful outcomes.

In this situation, Charlotte's chances of winning cannot be described as impossible, zero percent, or unlikely.

Charlotte does not have an equal chance or 50-50 odds of winning because the probability is not up to 50%.

Thus, we can conclude that Charlotte has a D. likely opportunity of winning.

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X = 5 is the other zeros of polynomial.

What is a polynomial, simply put?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).  

                                       The different types of polynomial equations are - linear equations, quadratic equations, cubic equations, and biquadratic equations. The equations formed with variables, exponents and coefficients are called as polynomial equations.

   g(x) = x³ - x² - 34x + 70

       x = 5

 g(5) = 5³ - 5² - 34 * 5 + 70

         = 125 - 25 -  170 + 70

          = 195  - 195

          = 0

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274 students had not signed up for any of the three courses.

A counting method called the inclusion-exclusion principle is used to determine how many items there are in the union of two or more sets. The basic concept is to start by counting the components in each set, but we then need to adjust for any items that are in multiple sets. The number of elements in the intersection of any two sets must be subtracted in order to make this repair, and the items in the intersection of any three sets must be added back in. When it comes to combinatorics and probability theory counting difficulties, the inclusion-exclusion principle is a helpful tool.

The total number of students signed up for the course is:

73 + 54 + 34 = 161

This includes multiple courses together. To get the accurate number we subtract the number of students that signed up for 2 courses.

(17 + 9 + 9) + 4 = -22 + 4 = -18

The negative count means we have overcounted, so we need to subtract this number from the total number of surveyed students:

292 - 18 = 274

Hence, 274 students had not signed up for any of the three courses.

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The value of a is given as follows:

a = 2.4.

Similar polygons are polygons that share these two features presented as follows:

As the two polygons are similar for this problem, the proportional relationship for the lengths is given as follows:

3/5 = a/4 = (b - 6)/2.

Hence the value of a is obtained as follows:

3/5 = a/4

5a = 12

a = 12/5

a = 2.4.

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The zeros of the following functions are

1. f(x)=2x(3−x)(x+1) , the zeros are x = 3 and -1

2.f(x)=2(x−3)(x+2)2(x−1), the zeros are x = 3 ,-2 and 1

3. f(x)=x3(x−2)(x+3), the zeros are x = 2 and -3

On a graph of the function, the zeroes will be the x-coordinate values at the points where the line intersects with the x-axis, or where the y-coordinate value is zero. Linear functions have one zero, but polynomial functions can have multiple zeroes. They can also have no zeroes at all.

1. 2x(3−x)(x+1) = 0

2x = 0

x = 0

3-x = 0

x = 3

x+1 = 0

x = -1

2. 2(x−3)(x+2)2(x−1) = 0

x-3 = 0

x = 3

x+2 = 0

x = -2

x -1 = 0

x = 1

3. f(x)=x³(x−2)(x+3) = 0

x³ = 0

x= 0

x-2 = 0

x = 2

x+3 = 0

x = -3

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As a consequence, in a triangle with angles 30-60-90 and legs 6 long and x short, x is equal to 2√3  and y is equal to 12.

Three-sided polygons, which are closed plane figures with straight edges, include triangles. One of the most fundamental and significant geometric and mathematical shapes, triangles have a wide range of useful characteristics and applications. Typically, a, b, and c are used to denote the triangle's three edges, and A, B, and C are used to denote the triangle's three angles. A triangle's inner angles are always added up to 180 degrees.

given

The percentage of the side lengths in a triangle with sides of 30-60-90 is:

Hypotenuse Means 1: Long leg: Short leg: 3: 2

In this quadrilateral, we have the following:

Hypotenuse = y; short limb = x; long leg = 6.

With the number mentioned above, we can write:

x : 6 : y = 1 : √3 : 2

For x and y, we can use cross-multiplication to get the following result:

x/1 = 6/√3

y/2 = 6/1

When we simplify these formulae, we obtain:

x = 6/√3 = 2√3

y = 12

As a consequence, in a triangle with angles 30-60-90 and legs 6 long and x short, x is equal to 2√3  and y is equal to 12.

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The x intercept and the y intercept for 6x - 3y = -12 is x = 0.5y + 2 and y = 2x - 4.

The term “intercept” refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.

The line's steepness is measured by its slope (m). It is the difference between the y-coordinate change and the corresponding x-coordinate change. For 6x - 3y = 12, just enter the above coordinates and solve for m to obtain the slope.

To solve for x, we solve the equation so the variable x is by itself on the left side:

6x - 3y = 12

x = 0.5y + 2

To solve for y, we solve the equation so the variable y is by itself on the left side:

6x - 3y = 12

y = 2x - 4

Therefore, the x = 0.5y + 2 and y = 2x - 4.

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The coordinates of the image of triangle △TUX after dilation with center at (0,0) and scale factor 4, then applying the transformation (x, y) ⟶ (x − 3, y + 1) are T''(25, 25), U''(-35, 13), and X''(5, 5).

Dilation with center refers to a transformation that involves scaling a geometric shape around a fixed center point. The center of dilation is the fixed point around which the shape is being scaled.

Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes in a coordinate plane. It combines the principles of geometry and algebra, where geometric shapes can be represented using algebraic equations and coordinates.In coordinate geometry, points are located in a two-dimensional plane using a system of Cartesian coordinates, which consists of an x-axis and a y-axis perpendicular to each other.

In the given question,

To find the coordinates of the image of triangle △TUX after dilation with center at (0,0) and scale factor 4, we first need to find the coordinates of the image of each point after the dilation.

The image of a point (x, y) after dilation with center at (0,0) and scale factor 4 can be found by multiplying its coordinates by 4. So:

The image of T(-7, -6) is T'(-74, -64) = (28, 24).

The image of U(-8, 3) is U'(-84, 34) = (-32, 12).

The image of X(2, 1) is X'(24, 14) = (8, 4).

Next, we apply the transformation (x, y) ⟶ (x − 3, y + 1) to find the coordinates of the final image of the triangle.

The image of T' is T'' = (T'x - 3, T'y + 1) = (28 - 3, 24 + 1) = (25, 25).

The image of U' is U'' = (U'x - 3, U'y + 1) = (-32 - 3, 12 + 1) = (-35, 13).

The image of X' is X'' = (X'x - 3, X'y + 1) = (8 - 3, 4 + 1) = (5, 5).

Therefore, the coordinates of the image of triangle △TUX after dilation with center at (0,0) and scale factor 4, then applying the transformation (x, y) ⟶ (x − 3, y + 1) are T''(25, 25), U''(-35, 13), and X''(5, 5).

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Answer:

perimeter of first ️

2(100+150) = 500 m

Answer:

8 yo

Step-by-step explanation:

A = age of Anthony

K = age of Kadeesha

Formulate equations based on the information given:

K = A + 1

A² + 2K = 82

Solve the simultaneous equations by substitution:

A² + 2(A + 1) = 82

A² + 2A + 2 = 82

A² + 2A - 80 = 0

(A + 10)(A - 8) = 0

A + 10 = 0 → A = -10

A - 8 = 0 → A = 8

Anthony can't be -10yo, so he is 8yo

Kadeesha is, therefore, 9yo

Answer:B

Step-by-step explanation:

Answer: D : 7cm

Step-by-step explanation:

Answer:

3hours and 40 mins

Step-by-step explanation:

The true statement of the equation 4+-2=5 is false

From the question, we have the following parameters that can be used in our computation:

4+-2=5

To determine the trie statement, we evaluate the expression 4 + (-2)

Using the above as a guide, we have the following:

The sum of 4 and -2 is:

4 + (-2) = 2

So, we have

2 = 5

The above is not true

Hence, the statement "4 + (-2) = 5" is false.

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Answer:

Step-by-step explanation:

1000m = 1km

So 3000m = 3km

Answer:

77 ft long.

Step-by-step explanation:

Explanations are clearer in the photo I sent. These are actual photos I have had screen shot. Since, I even commented saying answer "50" is wrong and now this is the proof of a real answer.

Based on the information, I can notice that mathematics is used in various situations in daily life. Additionally, I wonder how to apply algebra in daily life.

Based on what we have learned about mathematics, I have noticed that it is a very broad area that covers various types of operations and mathematical problems that allow us to solve various problems. For example: It helps us to know how to distribute a budget in our daily life, it helps us to divide the birthday cake in equal parts and to find the area of our house and our room.

What we ask ourselves about mathematics is how we can apply the problems and formulas of algebra and other areas derived from mathematics in daily life. Sometimes it seems that these complex problems do not have an application in daily life.

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Answer: A

Step-by-step explanation:

The first term in this sequence is 7 and the common ratio is -3, so the formula for the 7th term, a7, can be written as a7 = 7(-3)6.7 multiplied by -18 is equal to -126, so the 7th term in this geometric sequence is -126.

Geometric sequences are used to represent growth and decay. The common ratio determines whether the sequence is increasing (if r > 1) or decreasing (if 0 < r < 1). When the common ratio is a whole number, such as 2 or 3, the terms in the sequence are whole numbers as well.

Geometric sequences are sequences where each term is found by multiplying the previous term by a fixed number, called the common ratio. In this case, the first term is 7 and the common ratio is -3, so each term is found by multiplying the previous term by -3. This means that the second term is 7(-3) = -21, the third term is -21(-3) = 63, the fourth term is -63(-3) = -189, and so on. By using the formula a7 = ar6 and substituting in the first term and common ratio, the 7th term can be calculated as -126.

The 7th term of a geometric sequence is calculated by using the formula a7 = ar6, where a is the first term and r is the common ratio. The first term in this sequence is 7 and the common ratio is -3, so the formula for the 7th term, a7, can be written as a7 = 7(-3)6. To calculate this, the exponent 6 must be multiplied by -3, giving -18. 7 multiplied by -18 is equal to -126, so the 7th term in this geometric sequence is -126.

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Answer:

Once you have the cable, it will be simple to connect your phone to your laptop. On your phone, go to Settings and then the System page. Scroll down until you find the section entitled “OTG storage,” and turn on the option. When you connect the USB OTG cable to the physical keyboard, you will be able to use the keyboard to type on your phone.

Step-by-step explanation:

The slide is approximately 12.2 meters away from the monkey bars.

What is Pythagoras Theorem?

You may determine the right angled triangle's missing length using Pythagoras' Theorem. The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is usually the longest, and the hypotenuse (which is between the opposite and the hypotenuse).

We can solve this problem by using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

Let's label the distance between the slide and the monkey bars as "x". We can see that the distance between the slide and the tire swing, and the distance between the tire swing and the monkey bars form the two shorter sides of a right triangle, with the hypotenuse being the distance between the slide and the monkey bars.

Using the Pythagorean theorem, we have:

[tex]x^2 = 7^2 + 10^2\\\\x^2 = 49 + 100\\\\x^2 = 149\\\\x = \sqrt{(149)}[/tex]

x ≈ 12.2 meters (rounded to the nearest tenth)

Therefore, the slide is approximately 12.2 meters away from the monkey bars.

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The range is 75, variance is 607.70 and standard deviation is 24.65

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Given is a data set :- 23 53 67 61 66 91 27 85 98 44 73,

We need to find the range, variance, and standard deviation for the given sample data.

Range :-

Range = the difference between the highest and lowest numbers

Highest = 98

Lowest = 23

Range = 98 - 23 = 75

Mean :-

The mean of the data is calculated by the sum of all data is divided by the total number of data =

23+53+67+61+66+91+27+85+98+44+73 / 11 = 62.54

Variance :-

Variance is calculated by formula:

σ² = (xi-mean)² / n-1

σ² = (23-62.54)²+(53-62.54)²+(67-62.54)²+(61-62.54)²+(91-62.54)²+(66-62.54)²+(27-62.54)²+(85-62.54)²+(98-62.54)²+(44-62.54)²+(77-62.54)² / 10

= 1563.4+91.0116+19.9+2.37+809.98+11.97+1263.09+504.45+1257.41+343.73+209.09 / 10

σ² = 607.70

The standard deviation, we take the variance and get the square root of it :-

σ = √607.70

σ = 24.65

Hence, the range is 75, variance is 607.70 and standard deviation is 24.65

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Answer:

D

Step-by-step explanation:

3.5 is changing for every trophy I order so it has a variable. For example  say I want 3 trophies each trophy is 3.50 substitute 3 for x. 3.50(3) and that would give me the cost for 3 trophies same thing for the 7.50. The initial fee (you only pay the initial fee once) for company p is 25. The initial fee for company R is 17. At the end the question asks for the inequality so that company p is less than(<) company R. The only inequality that fits this is D.

Hope this helps :-)

Answer:42

Step-by-step explanation:took the quiz

Answer:

To find the efficiency of the ramp, we need to compare the work output to the work input. Work input is the force applied to the ramp multiplied by the distance over which the force is applied, and work output is the weight of the box multiplied by the distance it is lifted.

The force applied to the ramp is 600 N, and the distance over which it is applied is the length of the ramp, which is 2.5 m. So the work input is:

work input = force x distance = 600 N x 2.5 m = 1500 J

The weight of the box is 1200 N, and the distance it is lifted is 1.0 m (the height of the truck). So the work output is:

work output = weight x distance = 1200 N x 1.0 m = 1200 J

The efficiency of the ramp is the ratio of work output to work input:

efficiency = work output / work input = 1200 J / 1500 J = 0.8 = 80%

So the efficiency of the ramp is 80%.

To find the mechanical advantage of the ramp, we need to compare the output force to the input force. The output force is the weight of the box, which is 1200 N. The input force is the force applied to the ramp, which is 600 N.

So the mechanical advantage of the ramp is:

mechanical advantage = output force / input force = 1200 N / 600 N = 2

So the mechanical advantage of the ramp is 2.