Which statement is true about the given information?

A line has points B, C, D, and E. All points are equal distances from each other.

BD = One-halfBC
BC = One-halfBE
BD ≅ CE
BC ≅ BD
Mark this and return

The Trigonometric Ratios are:

Using the Co terminal Idea,

690 = 315 degree

We know that 315 in terms of π can be written as 74π.

74π = 74 x 180

= 180 + 180 + 180 + 180 + 180 ....... + 74 times

Since 180º + 180º = 360º = 0º

then we have know is the value of the trigonometric functions at 0 degree.

So, sin 0 = 1

cos 0 = 0

tan 0 = sin 0 / cos 0 = 1/ 0 = ∞

cosec 0 = 1/ sin 0 = 1

sec 0 = 1/ cos 0 = ∞

cot 0 = 1/ tan 0 = 0

Learn more about Trigonometry here:

https://brainly.com/question/29002383

#SPJ1

Answer: sin 690 = -1/2

Step-by-step explanation:

subtract 360 to find reference/coterminal angle

690-360 = 330

330-360 = -30

So 690 is the same as -30 and you can use the unit circle to find

For 30,

sin 30 = 1/2

but for -30 in the 4th quadrant sin is -

sin -30 = -1/2

sin 690 = -1/2

Answer:

1/4 and 2/8

Step-by-step explanation:

Answer:

\(\frac{6}{7}\)

Step-by-step explanation:

Given a number n then the multiplicative inverse is \(\frac{1}{n}\)

Thus

the multiplicative inverse of \(\frac{7}{6}\) is \(\frac{1}{\frac{7}{6} }\) = \(\frac{6}{7}\)

About the Sample bias ,Measurement bias,Loaded questions, Leading questions , Response bias, Non response bias.

a. Sampling bias example:

Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population are less likely to be included than others. For instance, suppose you want to determine the preferred method of exercising in a town, and you gather data from an exclusive fitness club, a nearby community center, and a high school. You are unlikely to get a representative sample since your sample is only from individuals who are interested in fitness, excluding those who do not go to these locations.

b. Measurement bias example:

Measurement bias happens when a measure systematically over or underestimates a concept. The following is an example: In a survey, people are asked how frequently they exercise. However, the exercise frequency is limited to an hour of running, lifting weights, or yoga. Although swimming, walking, and housework are forms of exercise, they were not included in the survey, resulting in a measurement bias.

c. Loaded questions example: Loaded questions are questions that are phrased in such a way as to lead the respondent to a certain answer or to reveal a certain point of view. For instance, "Don't you think that people who oppose gun control are ignorant and careless?"

d. Leading questions example: Leading questions are questions that are phrased in such a way as to lead the respondent to a certain answer. Here's an example: "Wouldn't you agree that the park needs more security to keep it safe?"

e. Response bias example: Response bias happens when the answers given to survey questions do not represent the actual beliefs of the respondents. For instance, if a survey asks if people always wear a seatbelt while driving, some individuals may say yes even if they frequently forget.

f. Non-response bias example: Non-response bias is the bias that happens when respondents are unable or unwilling to participate in a study. For example, a telephone survey was conducted to inquire about people's sleeping habits. The majority of people who did not respond to the study were night owls who slept during the day, leading to a non-response bias.

To know more about measurement ,visit:

https://brainly.com/question/27233632

#SPJ11

Answer:

n = (- 13 - m) / 2

Step-by-step explanation:

m + 1 = -2 (n + 6)      Distribute the -2 to (n +6)

m + 1 = -2n - 12        Add 2n to both sides

m + 1 + 2n = -12       Subtract 1 from both sides

m + 2n = -13             Subtract m from both sides

2n = -13 - m              Divide both sides by 2

n = (- 13 - m) / 2

45:60 is equivalent to 15:20

45/15: 60/15

3:4

15/5: 20/5

3: 4

Hence 45 to 60 is equivalent to 15 to 20.

Answer:

same

Step-by-step explanation:

Answer:

-7.25 I think

Step-by-step explanation:

-14.5 divided by 2 equals-7.25

If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides. If DE = BC, then ADDB=AEEC.

If a line parallel to one side of a triangle contacts the other two sides, the two sides are proportionately divided.

The formula for a proportional equation is y = kx. The letters y and x denote the variables in the equation. The letter k represents the proportionality constant, which is fixed.

Because matching angles produce the AA similarity shortcut, when a line is drawn parallel to one side of a triangle, two similar triangles are generated. Because the triangles are comparable, the parallel line segments are proportionate segments.

For more questions on Parallel lines

https://brainly.com/question/24607467

#SPJ4

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

Learn more about parametric equations here:

brainly.com/question/28537985

#SPJ4

Answer:

\(\large \boxed{\text{Q31, D. 6.00 F; 32. C. N21.75; Q33. A. 168.00 F}}\)

Step-by-step explanation:

Your graph is hard to read, so I re-drew it as best I could.

You must first develop an equation relating francs and naira.

The line goes through the origin, so the general equation is

y = kx

One of the points is (40,240).

\(\begin{array}{rcl}F & = &k \times N\\240 & = &k \times 40\\k & = & \dfrac{240}{40}\\\\k&=&\textbf{6 F/N}\\\end{array}\\\text{The equation is $\large \boxed{\mathtbf{F = 6 N}}$}\)

Q 31.

\(\begin{array}{rcl}F & = &6N\\& = & 6 \times 1.00\\& = & \mathbf{6.00}\end{array}\\\text{The equivalent value of N1.00 is $\large \boxed{\textbf{6.00 F}}$}\)

Q 32.

\(\begin{array}{rcl}F & = &6N\\130.5& = & 6 N\\N&=& \dfrac{130.5}{6}\\\\& = & \mathbf{21.75}\\\end{array}\\\text{The equivalent value of 130.5 F is $\large \boxed{\textbf{N21.75}}$}\)

Q 33.

\(\begin{array}{rcl}F & = &6N\\& = & 6 \times 28.00\\& = & \mathbf{168.00}\end{array}\\\text{An amount of N28.00 is $\large \boxed{\textbf{168.00 F}}$}\)

The statements that are true when there exists a constant rate of change between x and y are:

1. The graph of the relationship between x and y is a straight line.
2. The slope of the line represents the constant rate of change between x and y.
3. The value of the slope is the same for any two points on the line.
4. The equation that represents the relationship between x and y can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
5. The value of the y-intercept is the y-coordinate of the point where the line crosses the y-axis.

Let's break down each statement:

1. The graph of the relationship between x and y is a straight line:
When there is a constant rate of change between x and y, the graph will be a straight line. This means that the points representing the relationship between x and y will lie on a straight line when plotted on a graph.

2. The slope of the line represents the constant rate of change between x and y:
The slope of a line is a measure of how steep or flat the line is. In this case, when there is a constant rate of change between x and y, the slope of the line will be the same for any two points on the line. It represents the rate at which y changes for every unit change in x.

3. The value of the slope is the same for any two points on the line:
As mentioned earlier, the slope represents the constant rate of change between x and y. Regardless of which two points we choose on the line, the ratio of the change in y to the change in x will always be the same.

4. The equation that represents the relationship between x and y can be written in the form y = mx + b, where m is the slope and b is the y-intercept:
When there is a constant rate of change between x and y, we can express their relationship using an equation in the form y = mx + b. The slope, represented by the variable m, will be the coefficient of x, and the y-intercept, represented by the variable b, will be the value of y when x is equal to 0.

5. The value of the y-intercept is the y-coordinate of the point where the line crosses the y-axis:
The y-intercept is the point where the line representing the relationship between x and y crosses the y-axis. It represents the value of y when x is equal to 0.

To learn more about "Rate of Change":

https://brainly.com/question/25184007

#SPJ11

Answer:

196 grams of zinc

Step-by-step explanation:

\(\frac{4}{11}=\frac{z}{539}\\ \\(539)(4)=11z\\\\2156=11z\\\\196=z\)

Thus, the jar of the chemical will contain 196 grams of zinc.

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

Step-by-step explanation:

Where the line crosses the x axis is when y equals zero. For this to be true one factor must be equal to zero

y=(x+3)(x-2)(x-5) if the expansion is needed

y=(x+3)(x^2-7x+10)

y=x^3-7x^2+10x+3x^2-21x+30

y=x^3-4x^2-11x+30

In the given statements based on set theory:

Except (h) all are correct.

Use the concept of a set defined as:

Sets are groups of well-defined objects or components in mathematics.

A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

a) In the given set {1, 2, 3} element 3 is present therefore,

3 ∈ {1, 2, 3}.

Hence, this option is correct.

b) Since 1 contained in {1} therefore,

Is 1 ⊆ {1}.

Hence, this is correct.

c)  {2} is one of the elements contained within the set {1, 2}.

Hence,  {2} ∈ {1, 2} is correct.

d)  {3} is one of the elements contained within the set {1, {2}, {3}}.

Hence,  {3} ∈ {1, {2}, {3}} is correct.

e)  1 is the elements contained within the set {1}.

Hence, 1 ∈{1} is correct.

f) {2} is one of the elements contained within the set {1, {2}, {3}}.

Hence,  {2} ⊆ {1, {2}, {3}} is correct.

g) Since 1 is contained in the set {1, 2} therefore {1} is subset of {1, 2}.

Hence, {1} ⊆ {1, 2} is correct.

h) 1 is not an element of the set {{1}, 2}.

The set {{1}, 2} contains two elements: the set {1} and the number 2. Hence, 1 is not an element of the set {{1}, 2}.

So, this option is not correct.

i) Every element in {1} is also an element in {1, {2}}.

In this case, element 1 is present in both sets.

Hence this is correct.

j) Since {1} contains only one element, which is 1, and {1} is the same as {1}, So, {1} is a subset of itself.

Hence, this is correct.

To learn more about subset visit:

https://brainly.com/question/31739353

#SPJ12

Answer:

35dg & 36abcd

Step-by-step explanation:

Multiply 7 times 5 then add the remaining terms for equation 1. For equation 2 multiply 12 by 3 for 36.

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

To learn more about the sign bit in a normalized binary number from the given link

https://brainly.in/question/8955675

#SPJ4

The values of k for which the quadratic equation 3x² + kx + 12 = 0 has two real solutions are k < -12 and k > 12.

To determine the value(s) of k for which the quadratic equation 3x² + kx + 12 = 0 has two real solutions, we can examine the discriminant of the quadratic equation. The discriminant is the expression under the square root in the quadratic formula and can help us determine the nature of the solutions.

The discriminant (Δ) of a quadratic equation in the form ax² + bx + c = 0 is given by:

Δ = b² - 4ac

For the equation 3x² + kx + 12 = 0, we have a = 3, b = k, and c = 12. We want to find the values of k for which the discriminant is positive, indicating the presence of two real solutions.

If the discriminant is positive (Δ > 0), the quadratic equation will have two distinct real solutions. Thus, we can set up the inequality:

b² - 4ac > 0

Substituting the values, we have:

k² - 4(3)(12) > 0

Simplifying further:

k² - 144 > 0

To solve this inequality, we can factor the left side:

(k + 12)(k - 12) > 0

Now we can analyze the sign of each factor to determine the solution:

1. When (k + 12) > 0 and (k - 12) > 0:

  This occurs when k > -12 and k > 12. However, since we need both factors to be positive, we take the intersection, which gives us k > 12.

2. When (k + 12) < 0 and (k - 12) < 0:

  This occurs when k < -12 and k < 12. Again, considering both factors being negative, we take the intersection, which gives us k < -12.

Therefore, the values of k for which the quadratic equation 3x² + kx + 12 = 0 has two real solutions are k < -12 and k > 12.

In conclusion, for the quadratic equation to have two real solutions, the value of k must be less than -12 or greater than 12.

Learn more about quadratic equation here

https://brainly.com/question/1214333

#SPJ11

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 9.

Given that

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 56 48 57 45 41 Based on the data.

We have to determine

What is the difference between the median of the data, including the possible outlier, and excluding the possible outlier?

According to the question

The number of lattes sold daily for two coffee shops is shown in the table: 55 52 56 48 57 20 45 41  Lattes Based on the data.

The data set with the outlier is 55 52 56 48 57 20 45 41; Meaning the median falls in between 48 and 57, which is 52.5

Then the data set without the outlier is  55 52 56 48 57 20 45 41;  Making the median here 52.5

Therefore, the difference between the median of the data, including the possible outlier, and excluding the possible outlier is = 57 - 48 = 9

Hence, The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 9.

Learn more about Median here:

https://brainly.com/question/26174005

#SPJ4

The fourth vertex needed to create a rectangle with vertices located at (−17, 15), (−17, −7), and (−5, −7) is (-5, 15).

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

Given three vertices, let it be A, B and C.

A(-17, 15), B(-17, -7) and C(-5, -7).

Let D be the point required.

By looking at other points, we can see that the sides of a rectangle will be parallel to the axes.

So, we know that the fourth point must have the same y coordinate as that of A and has same x coordinate as that of C.

So the forth vertex D is (-5, 15).

Hence the forth vertex is (-5, 15).

Learn more about Rectangles here :

https://brainly.com/question/26451939

#SPJ2

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

To learn more about right-tailed hypothesis, refer:-

https://brainly.com/question/17199362

#SPJ11

The probability of the intersection of X and Y, (P(X ∩ Y)) is 1/18.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that P(X|Y) = 1/3 and P(Y) = 1/6, we need to find P(X ∩ Y).

To find the probability of the intersection of X and Y (P(X ∩ Y)), you can use the formula:

P(X ∩ Y) = P(X|Y) * P(Y)

Now, plug in the given probabilities:

P(X ∩ Y) = (1/3) * (1/6)

Multiply the fractions:

P(X ∩ Y) = 1/18

Learn more about probability:

https://brainly.com/question/13604758

#SPJ11

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

a. \(\frac{5}{18}\) b. \(\frac{1}{24}\)

Step-by-step explanation:

Answer:

I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?

Step-by-step explanation:

Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out

Answer:

H

Step-by-step explanation: