OT−→− bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3.
PLS HELP

Answer:

205 is my answerrrrrrrrrrr

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.

The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.

The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.

The equation at (2.4, 1) will be given as,

2.4 = a (1)² + b (1) + c

2.4 = a + b + c                 ...1

The equation at (9.4, 2) will be given as,

9.4= a (2)² + b (2) + c

9.4 = 4a + 2b + c                 ...2

The equation at (21.1, 3) will be given as,

21.1 = a (3)² + b (3) + c

21.1 = 9a + 3b + c                 ...

Solve equations 1, 2, and 3 with the calculator, then we have

a = 2.35, b = -0.05, c = 0.1

Then the equation is given as,

y = 2.35x² - 0.05x + 0.1

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be

y = 2.35(10)² - 0.05(10) + 0.1

y = 235 - 0.5 + 0.1

y = 235.5

The value of y is nearer to the value of 233. Then the value of y will be 233 days.

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ2

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

#SPJ1

Answer:

x = 25

Step-by-step explanation:

Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.

We describe performance relative to the whole class.

To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:

Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.

This will give you a baseline to compare individual performances against the class average.
Percentile Rank:

Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.

For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:

Calculate the standard deviation, which measures the spread of scores within the class.

A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."

For similar question on standard deviation.

https://brainly.com/question/28426562

#SPJ11

Answer:

y=3/2x−1

Step-by-step explanation:

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To know more about fundraising goal visit:

https://brainly.com/question/28324495

#SPJ11

Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

Know more about Fingerprinting here:

https://brainly.com/question/3321996

#SPJ11

When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

https://brainly.com/question/34652657

#SPJ12

Answer:

b

Step-by-step explanation:

it rigth ;0

Answer:It is 19.7,??

Step-by-step explanation:

Initial speed of the skateboard (u) = 0 m/s (Starts from rest)

Acceleration of the skateboard (a) = 2 m/s²

Time taken by the skateboard (t) = 2s

By using equation of motion, we get:

\( \bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow v = 0 + 2 \times 2 \\ \\ \rm \longrightarrow v = 4 \: m {s}^{ - 1} \)

\( \therefore \) Final speed of the skateboard(v) = 4 m/s

The inequality that satisfies the number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Different types of inequalities are represented by a variety of notations, including:

The symbol a <  b indicates that a is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given,

Hours Saul plans to volunteer in the 9-month period = 225 hours

Also,

Hours of volunteering he has already completed = 36 hours

=> Number of hours left = 225 - 36 =189 hours

Number of months= 9

=> Minimum number of hours he has to volunteer per month

=> \(\frac{Number of hours left}{Number of months}\)

=>\(\frac{189}{9}\\ 21 hours\)

=>Minimum number of hours saul has to volunteer per month ≥ 21 hours

Therefore, The number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

To know more about inequalities  refer to:

brainly.com/question/30231190

#SPJ4

Compound interest is a very powerful way to save for your retirement. Saving a little and giving it time to grow is often more effective than saving a lot over a short period of time. To illustrate this, suppose your goal is to save 1 million by the age of 65.

This can be accomplished by socking away 5,010 per year starting at age 25 with a 7% annual interest rate. This goal can also be achieved by saving 24,393 per year starting at age 45.Let's check whether both of the saving plans will amount to 1 million by the age of 65. According to the first plan, you would invest 5,010 per year for 40 years (65 – 25) with a 7% annual interest rate, so that by the time you’re 65, you will have accumulated:

\(5,010 * ((1 + 0.07) ^ 40 - 1) / 0.07 = 1,006,299.17\)

Therefore, saving 5,010 per year starting at age 25 with a 7% annual interest rate would result in 1 million savings by the age of 65. According to the second plan, you would invest 24,393 per year for 20 years (65 – 45) with a 7% annual interest rate, so that by the time you’re 65, you will have accumulated:

\(24,393 * ((1 + 0.07) ^ 20 - 1) / 0.07 = 1,001,543.68\)

Therefore, saving 24,393 per year starting at age 45 with a 7% annual interest rate would also result in 1 million savings by the age of 65. Thus, it is shown that both of the plans will amount to 1 million by the age of 65.

To know more about interest rate visit :
https://brainly.com/question/14556630

#SPJ11

Answer:

Step-by-step explanation:

y=csc(x)      x∈ [-2,2]

\(A.\\\displaystyle\\Increasing: \ [-2,-\frac{\pi }{2})U(\frac{\pi }{2},2]\\\\Decreasing:\ (-\frac{\pi }{2},0)U(0,\frac{\pi }{2} ) \\\\B.\\\\Relative\ min:\ 1\\\\Relative \ max:\ -1\)

                                           Watching the graph:

Answer:

\(\textsf{Increasing}:\left[-2,-\dfrac{\pi}{2}\right) \textsf{ and }\left(\dfrac{\pi}{2},2\right]\)

\(\textsf{Decreasing}:\left(-\dfrac{\pi}{2}, 0\right) \textsf{ and }\left(0, \dfrac{\pi}{2}\right)\)

\(\textsf{Relative min}: \left(\dfrac{\pi}{2},1 \right)\)

\(\textsf{Relative max}: \left(-\dfrac{\pi}{2},-1 \right)\)

Step-by-step explanation:

Part A

Given function:

\(f(x)=\csc (x), \quad -2\leq x\leq 2\)

\(\csc(x)=\dfrac{1}{\sin(x)}\)

Therefore, the function f(x) is undefined when sin(x) = 0, leading to vertical asymptotes at the value of x where sin(x) = 0.

\(\sin(x) = 0 \textsf{ at }x = 0\pm 2 \pi n, \pi \pm 2 \pi n\)

Therefore, f(x) has a vertical asymptotes at x = -2π, -π, 0, π, 2π etc.

Where the graph of the sine function increases, the graph of the cosecant function decreases.

Where the graph of the sine function decreases, the graph of the cosecant function increases.  

The sine function increases on the intervals:

\(\left(-\dfrac{\pi}{2}\pm 2 \pi n, \dfrac{\pi}{2}\pm 2 \pi n\right)\)

and decreases on the intervals:

\(\left(\dfrac{\pi}{2}\pm 2 \pi n, \dfrac{3\pi}{2}\pm 2 \pi n\right)\)

Therefore, for the interval -2 ≤ x ≤ 2, the cosecant function f(x):

Increases on the intervals:

\(\left[-2,-\dfrac{\pi}{2}\right) \textsf{ and }\left(\dfrac{\pi}{2},2\right]\)

Decreases on the intervals:

\(\left(-\dfrac{\pi}{2}, 0\right) \textsf{ and }\left(0, \dfrac{\pi}{2}\right)\)

Part B

The relative minimums of the graph of the sine function are the relative maximums of the graph of the cosecant function.

The relative maximums of the graph of the sine function are the relative minimums of the graph of the cosecant function.

The sine function has a range of -1 ≤ sin(x) ≤ 1.

Therefore, its minimum points are when sin(x) = -1 and its maximum points are when sin(x) = 1.

\(\sin(x)=-1 \implies x=\dfrac{3\pi}{2}\pm 2 \pi n \implies \textsf{Minimum points}: \left(\dfrac{3\pi}{2}\pm 2 \pi n ,-1 \right)\)

\(\sin(x)=1 \implies x=\dfrac{\pi}{2}\pm 2 \pi n \implies \textsf{Maximum points}: \left(\dfrac{\pi}{2}\pm 2 \pi n,1 \right)\)

Therefore, the minimum and maximum points of the cosecant function in the given interval -2 ≤ x ≤ 2 are:

\(\textsf{Relative min}: \left(\dfrac{\pi}{2},1 \right)\)

\(\textsf{Relative max}: \left(-\dfrac{\pi}{2},-1 \right)\)

Note in the attached graph:

Designing control charts involves two key issues: sample size and sampling frequency is a true statement.

Control Charts depict how the process [ data ] changes over time. It comprises a central line for average, lower line for the lower control limit and an upper line for upper control limit.

There are many types of control chart -X bar control chart.

Sample size can be defined as the number of measurement values  taken for a test feature .

Sampling frequency can be defined as the average number of samples obtained in one second.

Hence, designing control charts involves two key issues: sample size and sampling frequency is a true statement.

To understand more about control charts refer -

https://brainly.com/question/26478724

#SPJ4

A trader sold 100 boxes of fruit at GH¢8. 00 per box, 800 boxes at GH¢6. 00 per box and 600 boxes at GH¢4. 00 per box, the average selling price per box is GH₵ 5.33.

Average selling price per box = (Total sales revenue) / (Total boxes sold)

There are 3 different types of fruit boxes sold. So, we need to find the total revenue from each type of fruit box sold and add them together. Similarly, we need to find the total boxes sold of all the types of fruit boxes sold and add them together. Lastly, divide the total revenue by the total boxes sold to find the average selling price per box.

1. For 100 boxes sold at GH₵ 8.00 per box, the total sales revenue is:

GH₵ 8.00 × 100 = GH₵ 8002.

For 800 boxes sold at GH₵ 6.00 per box, the total sales revenue is

GH₵ 6.00 × 800 = GH₵ 4,8003.

For 600 boxes sold at GH₵ 4.00 per box, the total sales revenue is

GH₵ 4.00 × 600 = GH₵ 2,400

Total sales revenue from all types of fruit boxes sold = GH₵ 800 + GH₵ 4,800 + GH₵ 2,400= GH₵ 8,000

Total boxes sold from all types of fruit boxes sold = 100 + 800 + 600= 1,500

Average selling price per box = (Total sales revenue) / (Total boxes sold)= GH₵ 8,000 / 1,500= GH₵ 5.33.

You can learn more about selling prices at: brainly.com/question/29065536

#SPJ11

Answer:

x=6

Step-by-step explanation:

-7x= -42

x= -42/-7

x=6

Answer:

x=6

Step-by-step explanation:

-42= -7x divide -7 on both sides

6=x negatives cancel out

x=6 flip (not necessary but teachers like it this way)

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

To learn more about the midpoint;

https://brainly.com/question/28224145

#SPJ4

Thus, the given sequence is arithmetic, and the common difference is -100

The given sequence is: -18, -118, -218, -318,...To determine whether the sequence is arithmetic or not, we need to check whether the difference between consecutive terms is constant or not.If the difference is constant, then the sequence is arithmetic.

The sequence is not arithmetic.Difference between consecutive terms can be found by subtracting the second term from the first term, the third term from the second term, and so on.

Difference between the first two terms: (-118) - (-18) = -118 + 18 = -100Difference between the second two terms: (-218) - (-118) = -218 + 118 = -100Difference between the third two terms: (-318) - (-218) = -318 + 218 = -100The difference between each of the consecutive terms is -100. Thus, the given sequence is arithmetic, and the common difference is -100.

For more such questions on arithmetic

https://brainly.com/question/28707346

#SPJ8

To write and equation we call y=oil and x=vinager, so:

To find the constant k we can use the point in the picture (vinager, oil) = (x, y) = (1, 1.5), so:

So, the equation is:

Now, the meaning of the point (1, 1.5) is for 1 amount of vinager you need 1.5 amount of oil.

Answer:

The answer is A.

Step-by-step explanation:

Lets prove the other ones wrong.

B) It is not based on a day to day prediction, rather days with simmilar conditions before the storm.

C) The United states is too broad an area.

D) It is not based on the ammount of days it snows per month, because on say December 15 it could be 60 degrees and on December 25 it could be 2 degrees. Also you could not make any predictions on a per-day basis then.

So the only clear answer is "Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today."

The correct option of the given question is option(c) becomes narrower.

Based on the given information, when the confidence level is lowered from 98% to 97%, the confidence interval for the population mean μ becomes narrower. So, the correct answer is option c. becomes narrower.

To know more about Confidence interval visit:

https://brainly.com/question/31748686

#SPJ11

When the confidence level is lowered from 98% to 97%, the confidence interval for the population mean μ becomes wider.

This is because a higher confidence level implies a narrower interval to provide a higher level of certainty in capturing the true population mean. Conversely, when the confidence level is decreased, the interval needs to be wider to allow for a larger margin of error and account for the reduced confidence requirement.

Widening the interval ensures that the estimate is more conservative and includes a broader range of possible values for the population mean. Therefore, the confidence interval for μ becomes wider as the confidence level is lowered.

To know more about Population related question visit:

https://brainly.com/question/15889243

#SPJ11

If this trend continues, the total books the author would have sold over the first 12 months is 157,810 books.

In this scenario, we would calculate the total books sold by this author over the first 12 months as follows;

First month = 19,000 books.

Second month; 19,000 × (1 - 7)% = 19,000 × 93/100 = 17,670 books.

Third month; 17,670 × (1 - 7)% = 17,670 × 93/100 = 16,433 books.

Fourth month; 16,433 × (1 - 7)% = 16,433 × 93/100 = 15,283 books.

Fifth month; 15,283 × (1 - 7)% = 15,283 × 93/100 = 14,213 books.

Sixth month; 14,213 × (1 - 7)% = 14,213 × 93/100 = 13,218 books.

Seventh month; 13,218 × (1 - 7)% = 13,218 × 93/100 = 12,293 books.

Eigth month; 12,293 × (1 - 7)% = 12,293 × 93/100 = 11,432 books.

Ninth month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 10,632 books.

Tenth month; 10,632 × (1 - 7)% = 13,218 × 93/100 = 9,888 books.

Eleventh month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 9,196 books.

Twelveth month; 9,196 × (1 - 7)% = 9,196 × 93/100 = 8,552 books.

Next, we would add all of the books sold in each month together;

Total books sold = 19,000 + 17,670 + 16,433 + 15,283 + 14,213 + 13,218 + 12,293 + 11,432 + 10,632 + 9,888 + 9,196 + 8,552

Total books sold = 157,810 books.

Read more on total books here: https://brainly.com/question/18306224

#SPJ1

Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

The inverse of (a) is If she did not go to the party, then she will not finish her homework.

The inverse of (b) is If he did not finish the race, then he will not have trained for the race.

The inverse of (c) is If she has no side effects then the patient will not take the medicine.

The converse of (a) is if she finished her homework, then she went to the party.

The converse of (b) is if he trained for the race, then he finished the race.

The converse of (c) is if the patient took the medicine, then she had side effects.

The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.

The contrapositive of (b) is if he did not train for the race, then he will not finish the race.

The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.

Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."

Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."

Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."

To learn more about Contrapositive, Inverse, and Converse, Visit:

https://brainly.com/question/1713053

#SPJ4

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

for such more question on parabola

https://brainly.com/question/17987697

#SPJ11

Answer: x= -1 y= 13, x = 0 y= 10, x=4 y= -2

Step-by-step explanation: