Part A: An angle is two collinear rays with a common endpoint Find an example that contradicts this definition How would you change the delito



accurate? (5 points)



Part B: Give an example of an undefined term and how it pertains to angles (5 points)




PLEASE HELP ME !!

Answer: 17

Step-by-step explanation:

The phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is: -0.927 rad

We are told that the vertical scale is set as: v_s = 4.0 cm/s

Using the formula of velocity, we can find the phase constant for the harmonic oscillator from the position function of form,

x(t) = x_m cos(ωt + φ)

The velocity of a body in motion is expressed as:

v = dx/dt  -----(i)

Equation of displacement of the motion:

x(t) = x_m cos(ωt + φ)    -----(ii)

Differentiating equation (ii), we get:

v = -v_m sin (ωt + φ)    -----(iii)

Using the values of t = 0 s, v_m = 5 cm/s, v = 4 cm/s in equation (iii), we get:

4 = -5 sin  (ω(0) + φ)  

φ = sin⁻¹(4/5)

φ = -0.927 rad

Therefore, the phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is -0.927 rad

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Complete question is:

What is the phase constant for the harmonic oscillator with the position function x(t) given in the plot if the position function has the form x = x_m cos(ωt + φ). The vertical axis scale is set as v_s = 4.0 cm/s

Answer:

-x+8y-27

Step-by-step explanation:

-(x-8y+27)

so the sub symbol is kinda just 1 sense there isnt anything else for there

-1(x-8y+27)

now just like group them or smt

-1(x)+(-1)(-8y)+(-1x27)

so yea then tou multiply all of them and then

-x+8y-27

also

- x - = +

+ x + = +

- x + = -

Answer:

y-intercept is (18/5,0)

x-intercept is (0,-2)

Step-by-step explanation:

hope that helps

Answer:

x-intercept: \(\frac{18}{5}\)

y-intercept: -2

Step-by-step explanation:

\(5x-9y=18\)

Step 1: Plugin 0 for x

\(5(0)-9y=18\\-9y=18\\y=-2\)

So, you get the ordered pair (0, -2). Making -2 the y-intercept

Step 2: Plugin 0 for y

\(5x-9(0)=18\\5x=18\\x=\frac{18}{5}\)

So, you get the ordered pair (\(\frac{18}{5}\), 0). Making \(\frac{18}{5}\) the x-intercept

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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please help me I don't know how to do math

Answer:

a=-7

Step-by-step explanation:

divid 3 from both sides step 2 minus 5 from both sides step 3 and then you get a=-7

Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Rounding up to the nearest unit, it would take Calvin approximately 27 months to pay off his credit card with a monthly payment of $165.

To determine how long it would take Calvin to pay off his credit card, we need to consider the monthly payment amount and the interest rate. Let's calculate the time it would take for two different monthly payment amounts: $220 and $165.

a. Monthly payment of $220:

Let's assume the initial balance on Calvin's credit card is $3,000, and the annual interest rate is 4 percent. To calculate the monthly interest rate, we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate = 4% / 12 = 0.3333%

Now, we can calculate the time it would take to pay off the credit card using the monthly payment of $220 and the monthly interest rate. We'll use a formula for the number of months required to pay off a loan with fixed monthly payments:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:

n = number of months

r = monthly interest rate (as a decimal)

P = initial balance

A = monthly payment

Plugging in the values:

n = -(log(1 - (0.003333 * 3000) / 220) / log(1 + 0.003333))

Using a calculator, we can find:

n ≈ 15.34

Rounding up to the nearest unit, it would take Calvin approximately 16 months to pay off his credit card with a monthly payment of $220.

b. Monthly payment of $165:

We can repeat the same calculation using a monthly payment of $165:

n = -(log(1 - (0.003333 * 3000) / 165) / log(1 + 0.003333))

Using a calculator, we find:

n ≈ 26.39

Please note that these calculations assume that Calvin does not make any additional charges on his credit card during the repayment period. Additionally, the interest rate and the balance are assumed to remain constant. In practice, these factors may vary and could affect the actual time required to pay off the credit card balance.

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The value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

Let's simplify the addition within the parentheses:

8 1/5 + 4 1/5 = (8 + 4) + (1/5 + 1/5) = 12 + 2/5 = 12 2/5

Next, let's simplify the subtraction within the parentheses:

6 6/8 - 6 2/4 = (6 - 6) + (6/8 - 2/4) = 0 + (3/4 - 1/2) = 0 + 1/4 = 1/4

Now, we can substitute the simplified terms back into the original expression:

(8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) = 12 2/5 - 1/4

To subtract mixed numbers, we need to find a common denominator. The common denominator for 5 and 4 is 20. Converting both terms:

12 2/5 = 12 * 5/5 + 2/5 = 60/5 + 2/5 = 62/5

1/4 = 1 * 5/5 * 5/20 = 5/20

Now we can subtract:

62/5 - 5/20 = (62 * 4)/(5 * 4) - 5/20 = 248/20 - 5/20 = (248 - 5)/20 = 243/20

Therefore, the value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

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option D, y=x^2-2x+1 , 2x-y=2 represents system of equations .

Given:

points (1,0) and (3,4)

line equation is y - y1 = m(x-x1)

y - 0 = 4-0/3-1(x - 1)

y = 2(x-1)

y = 2x - 2

2x - y =2.

The vertex of the given upward parabola is in the first quadrant so the coefficient of \(x^{2}\)  must have positive values.

so y = \(x^{2} -2x+1\)

Therefore option D y=x^2-2x+1 , 2x-y=2 is correct.

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Given:

The red figure dilated with a scale factor of \(s=\dfrac{1}{3}\) and the center of dilation is at the point (4,2) to get the green figure.

To find:

The coordinates of C' and A.

Solution:

If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

\((x,y)\to (k(x-a)+a,k(y-b)+b)\)

In given problem, the scale factor is \(\dfrac{1}{3}\) and the center of dilation is at (4,2).

\((x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)\)            ...(i)

Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

\(C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)\)

\(C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)\)

\(C(-2,11)\to C'(-2+4,3+2)\)

\(C(-2,11)\to C'(2,5)\)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

\(A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)\)

From the given figure it is clear that the image of point A is (8,4).

\(A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)\)

On comparing both sides, we get

\(\dfrac{1}{3}(m-4)+4=8\)

\(\dfrac{1}{3}(m-4)=8-4\)

\((m-4)=3(4)\)

\(m=12+4\)

\(m=16\)

And,

\(\dfrac{1}{3}(n-2)+2=4\)

\(\dfrac{1}{3}(n-2)=4-2\)

\((n-2)=3(2)\)

\(n=6+2\)

\(n=8\)

Therefore, the coordinates of point A are (16,8).

Answer:

I believe it’s 14400 people

Answer: 74.3451780 since 83 is closer to 80

Answer:

74.4

Step-by-step explanation:

74.3451783

74.345178

74.34518

74.3452

74.345

74.35

74.4

Hope this helps

Answer:

Common difference:  30

General term formula:   \(a_n=30n-9\)

52nd term:  1551

Step-by-step explanation:

Given sequence:

21, 51, 81, 111

Calculate the difference in terms:

\(21 \underset{+30}{\longrightarrow} 51 \underset{+30}{\longrightarrow} 81 \underset{+30}{\longrightarrow} 111\)

The sequence is increasing by 30 each time, so as there is a common difference, this is an arithmetic sequence with a common difference of 30.

General form of an arithmetic sequence

\(a_n=a+(n-1)d\)

where:

Given:

Substitute the given values into the formula to find the general term formula:

\(\implies a_n=21+(n-1)30\)

\(\implies a_n=21+30n-30\)

\(\implies a_n=30n-9\)

To find the 52nd term, simply substitute n = 52 into the found general term formula:

\(\implies a_{52}=30(52)-9\)

\(\implies a_{52}=1560-9\)

\(\implies a_{52}=1551\)

m = (Y2 - Y1)/(X2 - X1)

m = (7 - (-6))/(-11 - 17)

m = (7 + 6)/(-28)

m = 13/(-28) = -(13/28)

Answer: y=4/3x-2

Y-Intercept: -2

Slope: 4/3

Step-by-step explanation:

On the Y-Axis put -2 because thats the Y-intercept.

And for slope graph a slope of 4/3

Answer:

44.75

Step-by-step explanation:

5.5 + (- 2.75) - 7(18 ÷ - 3)

5.5 - 2.75 - 7(- 6)

5.5 - 2.75 + 42

2.75 + 42

44.75

Answer:

7/12

\(7 \8x2 \3\)

Answer: 33 degrees

Step-by-step explanation:

We can find angles PQS and PSQ by using the base angle theorem, which states that the base angles of an isosceles triangle are congruent. Subtracting 48 from 180 we get 132, which dividing by 2 we get 66 degrees.

Now we can use the exterior angle theorem, which states that an exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle. In this case, we are saying that ∠QSP= ∠QRS+∠RQS. Both of these angles are congruent because of the base angle theorem as well. Dividing 66 by 2 we get 33 degrees. Thus, m∠QRS=33°

The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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The 6 - digit number when rounded to the nearest thousand and hundred will have a result that is the  556100.

Rounding off makes a  number is made simpler by keeping its value intact but closer to the next number.

Rounding to the nearest thousand:

The original number, 555500, lies between 555000 and 556000.

Since it is equidistant from both, we round it to the nearest even thousand, which is 556000.

Rounding to the nearest hundred:

The rounded number from the previous step, 556000, lies between 555900 and 556100.

Again, it is equidistant from both, but in this case, we round it up to the nearest hundred, which is 556100.

Therefore, when you round the number 555500 to the nearest thousand and hundred, you get the same result, which is 556100.

Thus, the answer is  556100.

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In the equation t(78) = 1.03, "p < .01" represents a statistical significance level or the probability of observing the obtained result due to chance alone.

In statistical hypothesis testing, the notation "p < .01" refers to the significance level or the probability threshold used to assess the statistical significance of a result.

In this case, it means that the obtained result, indicated by t(78) = 1.03, is statistically significant at a level of p < .01.

This implies that the likelihood of observing a result as extreme as or more extreme than the obtained result due to chance alone is less than 1%. In other words, the result is unlikely to occur by random variation alone and suggests that there may be a true effect or relationship in the population being studied.

The significance level helps researchers determine whether to accept or reject a null hypothesis based on the strength of evidence provided by the data.

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90 students are taking both Math 245 and CS 108.

We can use the formula:

n(A or B) = n(A) + n(B) - n(A and B)

where n(A) is the number of students taking Math 245, n(B) is the number of students taking CS 108, and n(A and B) is the number of students taking both courses.

Plugging in the given values, we get:

n(A or B) = 150 + 200 - n(A and B)

n(A or B) = 350 - n(A and B)

We also know that the total number of students taking at least one of the courses is 260:

n(A or B) = 260

Substituting this value, we get:

260 = 350 - n(A and B)

n(A and B) = 90

Therefore, 90 students are taking both Math 245 and CS 108.

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 CD is 11 square root of 14.  

The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .

In right triangle ABE,

Measure of angle ABE = 90 degrees

Measure of angle AEB = 60 degrees

AB = 11√7

Using trigonometric ratio we have,

tan 60° = AB / BE

⇒ √3 = 11√7 / BE

⇒ BE = 11√7 / √3

⇒BE = 11√21 / 3

In right triangle BED,

Measure of angle BED = 90 degrees

Measure of angle EBD= 45°

⇒Measure of angle EDB= 45°

BE ≅ ED

BE = 11√21 / 3

⇒ED = 11√21 / 3

Using Pythagoras theorem,

BD² = BE² + ED²

⇒BD = √ 2 (11√21 / 3 )²

⇒BD = 11√21 / 3 × √2

⇒ BD = 11√42 / 3

In right triangle CDB,

Measure of ∠CDB = 90°

Measure of ∠DCB = 30°

tan 30° = BD / CD

⇒ ( 1/ √3) = 11√42 / 3 / CD

⇒ CD =  [11√42 / 3 ] × √3

⇒ CD = 11√14

Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .

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The magnetometers revealed that the basalt rocks along the mid-ocean ridges are aligned in alternating, symmetrical patterns. This is due to the Earth's geomagnetic field which constantly fluctuates in intensity and direction.

When molten basalt cools and sets, it orients itself in the direction of the Earth's field. As this field changes, the orientation of the rocks changes as well.

This creates the alternating, symmetrical pattern seen in the magnetometer readings. In addition, the seafloor spreading which occurs along the mid-ocean ridges can also contribute to the pattern of the rocks. As the seafloor spreads, new basalt rocks are formed and orient themselves by the Earth's field.

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The height ofobject's bounce is the response variable because it depends on many factor.

An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.  

An explanatory variable is a type of independent variable but not fully independent but depends on some factors.

Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.

A response variable, also known as a dependent variable, is a concept, idea, or quantity that someone wants to measure. It depends on an independent variable.

Since, the height of the an object's bounce depends on many factors

like how much energy is lost in the ball during the collision with the floor, the elasticity of the material etc.

Therefore, we can say that height ofobject's bounce is the response variable because it depends on many factor.

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The volume of a cylinder depends on the product of the base area (π * radius^2) and the height. The height of the cylinder is 17 millimeters.

In this case, since we have the volume and the radius, we can rearrange the formula to solve for the height.

To find the height of the cylinder, we can use the formula for the volume of a cylinder:Volume = π * radius^2 * height

Given:

Volume = 4,352π cubic millimeters

Radius = 16 millimeters

Substituting the given values into the volume formula, we have:

4,352π = π * (16^2) * height

Simplifying the equation:

4,352 = 256 * height

Dividing both sides of the equation by 256:

height = 4,352 / 256

height = 17

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If the dimensions of trapezoid JKLM are multiplied by a scale factor of f to create trapezoid J'K'L'M' "The area of trapezoid J'K'L'M' is f times the area of trapezoid JKLM." Therefore, option A is correct.

When you multiply the dimensions of a trapezoid by a scale factor, the area of ​​the resulting trapezoid is equal to the square of the scale factor multiplied by the area of ​​the original trapezoid. In this case, the scaling factor is f, so the area of ​​trapezoid J'K'L'M' is f² times the area of ​​trapezoid JKLM.

When scaling a trapezoid, the base perimeter, angle, and length can change, depending on the specific value of the scale factor and the dimensions of the original trapezoid. 

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