Find the measure of the exterior angle with 24 degrees
(3x+6) and (2x+18)

Answer:

p + s = 45

s = 2p + 5

Step-by-step explanation:

Let s = number of students.

Let p = number of parents.

p + s = 45

s = 2p + 5

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Here,

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Coupon = 30% off= 78.75

This means that the cost of the computer is only 70% since 30% is off.

70% = 78.75

We know that the original price is 100%.

So,

70% = 78.75

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x78.75

100% =112.5

The original price of the computer is 112.5

The amount saved is:

112.5-78.75=33.75

Thus,

The original price of the computer is 112.5

The amount saved is 33.75

To learn more about percentage refers to;

brainly.com/question/21290966

#SPJ1

Answer: The explicit formula for this sequence is given by the expression a_n = 3^n, where n is the position in the sequence (starting from n=1 for the first term).

The recursive formula for this sequence is given by the expression a_n = 3a_(n-1), where n is the position in the sequence (starting from n=1 for the first term) and a_(n-1) is the previous term in the sequence.

Here's how you can use the recursive formula to find the terms of the sequence:

a_1 = 2

a_2 = 3a_1 = 3 * 2 = 6

a_3 = 3a_2 = 3 * 6 = 18

a_4 = 3a_3 = 3 * 18 = 54

a_5 = 3a_4 = 3 * 54 = 162

and so on.

To find the explicit formula, you can try to find a pattern in the terms of the sequence. For example, you might notice that each term is simply the previous term multiplied by 3. This pattern can be expressed using the recursive formula a_n = 3a_(n-1). To find the explicit formula, you can then solve for a_n in terms of n:

a_n = 3a_(n-1)

a_n / 3 = a_(n-1)

a_n / 3 = (3a_(n-2)) / 3

a_n / 3 = 3^(n-2)

a_n = 3^n

Therefore, the explicit formula for this sequence is a_n = 3^n.

Step-by-step explanation:

The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.

Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.

The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.

An exponential function is a function in which a number or data is raised to the power of another number or a variable.

To know more about Log:

brainly.com/question/27037535

#SPJ4

The two lines intersect at (-3,-5) and thus a common solution.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here, the system of linear equations as  Y=4x+7 and 2=x-y

On solving these two equations we get that the two lines intersect at (-3,-5) and thus a common solution.

The two equations are plotted in the attachment below.

Hence, The two lines intersect at (-3,-5) and thus a common solution.

Learn more about the solution of the linear equation here:

https://brainly.com/question/545403

#SPJ1

The transformation is shifted up 2 units.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=-2x+3.

Here, the slope m of a line is -2 and y-intercept is 3

A) If the function g(x)=f(x)+k, where k=2.

Now, g(x)=-2x+3+2

g(x)=-2x+5

Here, the slope m of a line is -2 and y-intercept is 5

B) The slope of both functions are same

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted up 2 units

Therefore, the transformation is shifted up 2 units.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Answer:

Step-by-step explanation:

oh thats easy its 2

Answer: 0.640

Step-by-step explanation:

Multiply in your calculator

A and E are the vowels that theoretical probability was closet to the experimental probability.

The probability is 0.1685%

Probability:

Probability defines the probability of an event occurring. There are many real world situations where we need to predict the outcome of an event. We may or may not be certain about the outcome of an event. In such cases, I say that this event may or may not occur. Probability in general has excellent applications for making probability-based predictions in games and economics, and it also has widespread applications in this emerging field of artificial intelligence. The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative. The formula for calculating the probability of a

event is:

probability (event) = favorable outcome/total outcome

Now,

According to the Question:

N vowels = N(A) + N(E) + N(I) + N(O) + N(U)

                =9 + 12 + 9 + 8 + 4

                =42

The total number of letters is:

1×5+2×10+3×1+4×4+6×3+8×1+9×2+12×1=100

This is because dragging the tile reduces the number of vowels and the total number of letters.

p =42×41×...×36100×99×...×94

= 5916335104300

≈ 0.1685%

Learn more about Probability:

https://brainly.com/question/11234923

#SPJ4

Option (D) that is (3.5, 8.75) is the ordered pair of point S.

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions. Two variables are frequently represented by ordered pairs. We mean x = 7 and y = -2 when we write (x, y) = (7, -2). The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The ordered pair of point S is option (D), which is (3.5, 8.75).

To know more about ordered pair,

brainly.com/question/30113488

#SPJ4

Complete question: Pentagon OPQRS is shown on the coordinate plane below:

Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.

If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O’P’Q’R’S’, what is the ordered pair of point S’?

No, 8 15 17 is not a right angle triangle. A right angle triangle is a triangle in which one of the three angles is equal to 90 degrees.

To determine if a triangle is a right angle triangle, we can use the Pythagorean theorem. This states that in a right angle triangle, the sum of the squares of the two shorter sides (a and b) will equal the square of the longest side (c).

In this case, the length of the sides are 8, 15 and 17. We can calculate the sum of the squares of the two shorter sides, which is 8² + 15² = 144 + 225 = 369. However, the square of the longest side (17²) is 289. Since 289 is not equal to 369, this means that 8 15 17 is not a right angle triangle.

Learn more about right angle triangle here:

https://brainly.com/question/3772264

#SPJ4

According to the Houa's drawing the distance across the river PR is

The length of line PR is calculated using the knowledge of similar triangles

While similar triangles is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent.

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shown, the pair of equivalent sides are

PO and OC, PR and RE,

The solution is worked out using sides PO and OC, PR and RE,

PO / OC = PR / RE

let PR be equal to y such that PO = 140 + y

(140 + y) / 230 = y / 135

cross multiplying

135(140 + y) = 230y

Expanding

18900 + 135y = 230y

collecting like terms

18900 = 230y - 135y

95y = 18900

y = 198.95 feet

Hence PR = 198.95 feet

Learn more about similar triangles here:

https://brainly.com/question/29333623

#SPJ1

Answer:

Step-by-step explanation:

x=11

y=14

Answer:

Step-by-step explanation:

3.00

The two spaceships will meet in 8 hours if the second spaceship is traveling at 90. 000 km/hr.

To calculate the time it will take for the two spaceships to meet, you must use the equation Distance = Rate x Time. Since the first spaceship has a higher rate of speed, it will reach the second spaceship in less time than it would take the second spaceship to reach the first.

This means that the time it takes for the two spaceships to meet will be equal to the time it takes for the first spaceship to travel the distance between the two space stations. We can use the equation to solve for time: Time = Distance/Rate. In this case, the distance is 710,000 km and the rate is 110,000 km/hr, so the time is 6.45 hours.

Learn more about Speed and Distance here:

https://brainly.com/question/26046491

#SPJ4

Answer:

The answer is 1/4.

I wish you good luck.

Answer: it's hard i thought i could do it but nope dang it

1.75% is rate of increse does not change.

What's the math rate?

An unusual ratio in which the two parts are expressed in distinct units is called a rate. The price is 69 for 12 ounces, for instance, if a 12-ounce can of maize costs that much.

                    This is not a proportion of two comparable units, like shirts. This ratio combines the values of the two dissimilar units, cents and ounces.

1960 = 88,000,000

2010 = 242,000,000

formula: (new-old)/old* 100

(242,000,000 - 88,000,000)/88,000,000 * 100

154,000,000/88,000,000*100

1.75*100

= 1.75%

Learn more about rate in math

brainly.com/question/199664

#SPJ4

Check the picture below.

[tex]\sin(30^o)=\cfrac{\stackrel{opposite}{PQ}}{\underset{hypotenuse}{4}}\implies 4\sin(30^o)=PQ\implies 4\left( \cfrac{1}{2} \right)=PQ\implies 2=PQ[/tex]

A) The frequencies and the relative frequencies of the observations are as follows,

Value __frequency (F)__Relative frequency (x)

0_____ 7 _______ 7/60 = 0.1167

1 _____ 12_ _____ 12/60 = 0.200

2 _____ 12_______ 12/60 = 0.200

3 _____ 14 _______ 14/60 = 0.2333

4 _____ 6 _______ 6/60 = 0.1000

5 _____ 3________ 3/60 = 0.0500

6 _____ 3 _______ 3/60 = 0.0500

7 _____ 1 _______  1/60 = 0.0167

8 _____ 1 ________ 1/60 = 0.0167

B)  What proportion of batches in the sample have at most five nonconforming transducers?

X =  0.1167 +0.200 +0.200 +0.2333 +0.100

= 0.85

Relative frequency

A relative frequency is the ratio of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes.

Learn more about frequency here:-

https://brainly.com/question/5102661

#SPJ4

The average speed of Usain Bolt in meters per second is given as 10.42 meters

The formula for speed is given as distance / time

the distance is said to be 100m

the time as it is written here is said to be 9 3/5

this is written as an improper fraction = 48 / 5

We are to find the average speed in meter per second

speed = 100 / (48/5)

speed = 500 / 48

speed = 125 / 12

write this as a mixed fraction or in decimal

speed = [tex]10\frac{5}{12}[/tex] or 10.42

Read more on average speed here: https://brainly.com/question/4931057

#SPJ1

The cleaning company would charge $150 for cleaning two rooms according to the fixed charges.

A fixed amount is a fixed amount or amount established by agreement or contract. This amount is usually a specified amount, does not change over time, and is usually paid on demand or by a certain date. Fixed amounts are commonly used in loans, insurance, and other financial contracts.

This cost is calculated by dividing the difference between the total cost of 6 and 8 rooms by the number of rooms cleaned (6 - 2 or 4).

= ($250 - $320)/4

= $40

This will give you a price of for each additional room.

To calculate the cost of two rooms, simply add the fixed amount of the home visit and double the cost ($40) for each additional room. That's a total of $150 for two rooms.

To know more about agreement, click-

https://brainly.com/question/28284709

#SPJ4

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

Each x value in the domain has one but only one y value

range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.

Here,

It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.

The graph is positive if it is located above the x-axis.

A negative graph is one that is located below the x-axis.

The graph of the function in this issue is shown by the red line, and:

The function is negative for x values less than 0 since it is below the x-axis.

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

To know more about function , visit

https://brainly.com/question/12431044

#SPJ1

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.

given

14 is tangent to the circle and 9 is a radius, making this a right triangle.

In order to resolve this issue, we can employ the Pythagorean theorem.

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ1

The time that it will take for the object to reach maximum height is given as follows:

3 seconds.

The maximum height is given as follows:

304 feet.

The object's height is modeled by a quadratic function in the following format:

h = -16t² + v(0)t + h(0).

In which:

The parameters for this problem are given as follows:

v(0) = 96, h(0) = 160.

Hence the function is defined as follows:

h(t) = -16t² + 96t + 160.

Meaning that the coefficients of the quadratic function are given as follows:

a = -16, b = 96, c = 160.

The coefficient a is negative, meaning that this is a concave down quadratic function, thus the vertex of the quadratic function represents the maximum height.

The t-coordinate of the vertex is given as follows:

t = -b/2a = -96/-32 = 3 seconds.

Then the maximum height is of:

h(3) = -16(3)² + 96(3) + 160

h(3) = 304 feet.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

Segment Addition Postulate states that n has a value of 9 when DC = 5n - 30 and CE = 6n - 25 and DE = 44.

A mathematical equation is a formula that connects two statements using the equal sign (=) to denote equivalence. An algebraic equation is a mathematical statement that establishes the equality of two mathematical expressions. For example, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematical equations are used to express the connection between two phrases on either side of a letter. There is frequently just one variable, which is also the symbol. example: 2x - 4 = 2.

given

DE = DC + CE

44 = 5n – 30 +  6n – 25

44 = 11n - 55

44 + 55 = 11n

n = 9

Segment Addition Postulate states that n has a value of 9 when DC = 5n - 30 and CE = 6n - 25 and DE = 44.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

The equation of line is given by y = 25x + 80.

The equation of a line is expressed as y = mx + b where m exists the slope and b exists the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

To learn more about equation of line refer to:

brainly.com/question/14200719

#SPJ4

The equation of line is given by y = 25x + 80, this represent the linear function between the amount of money and the saved amount.

The equation of a line is expressed as y = mx + b where m is called the slope and b is called the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

To learn more about equation of line, visit:

brainly.com/question/14200719

#SPJ4

The complete maze pattern is shown below.

Given is an exponent maze.

We can complete the maze as -

START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.

Therefore, the complete maze pattern is shown above.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The equation of line passing through (-9,-10) and(7,-3) will be y = (7/16)x - 1

Slope is a measure of the steepness of a line, and it is also known as the "gradient." It is a ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. It is often represented by the letter "m" in the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

The formula to find the equation of a line given two points is:

y - y1 = m(x - x1)

where (x1,y1) and (x2,y2) are the coordinates of the two points on the line, and m is the slope of the line, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

m = (y2 - y1) / (x2 - x1)

where (x1,y1) and (x2,y2) are the coordinates of the two points.

so the slope m = (-3 - (-10)) / (7 - (-9)) = 7/16

We can use point slope form to get the equation of the line passing through the two points:

y - y1 = m(x - x1)

so the equation of the line is y - (-10) = (7/16)(x + 9)

=> y = (7/16)x + (-10) + (9 * 7/16)

=> y = (7/16)x - 1

To know more about equation of line visit:

https://brainly.com/question/21511618

#SPJ1

The ball will reach a height of 3 feet at t = 5/4 seconds.

To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5

We are given that the height of the ball is 3 feet, so we can set up the equation:

3 = -16[tex]t^2[/tex] + 40t + 5

Then we can solve for t by isolating t on one side of the equation and then solving for t:

3 = -16[tex]t^2[/tex] + 40t + 5

-5 = -16[tex]t^2[/tex] + 40t

16[tex]t^2[/tex] - 40t - 5 = 0

We can factor the left side of the equation:

(4t - 5)(4t + 1) = 0

So we have two possible solutions:

t = 5/4 or t = -1/4

However, the time cannot be negative, so the only valid solution is t = 5/4.

So the ball will reach a height of 3 feet at t = 5/4 seconds.

Read more about the equation:

brainly.com/question/26310043

#SPJ4