If you are given an equation of a line
and a set of points, and are asked to find
an equation that is perpendicular to Line
#1, what do you need to do?

The measure of angle COB is 66 degrees.

In geometry, an angle is the measure of the amount of rotation between two intersecting lines, planes or line segments with a common endpoint, called the vertex. Angles are typically measured in degrees, with a full circle comprising 360 degrees.

An angle is represented by the symbol ∠ and is named by its vertex, such as ∠ABC or ∠P. The size of an angle is determined by the degree of rotation between the two intersecting lines, measured counter clockwise from the initial line to the final line.

Since AOB is a straight line, we know that angle AOC + angle COB = 180 degrees.

We are given that angle AOC is 114 degrees, so we can use the equation above to find angle COB:

angle COB = 180 degrees - angle AOC

= 180 degrees - 114 degrees

= 66 degrees

Therefore, the measure of angle COB is 66 degrees.

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Complete question:

In the figure below, suppose AOB is a straight line and ∠AOC = 114⁰. What is the measure (in degrees) of ∠COB?

Answer:7:3

Step-by-step explanation:

The slope of the line that passes through the points (-4, -6) and (1, -6) is zero and hence the line is parallel to the x-axis.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, The slope of the line that passes through the points (-4, -6) and (1, -6) is,

m = (- 6 + 6)/(- 4 - 1).

m = - 0/5.

m = 0.

As the slope is equal to zero the line is parallel to the x-axis.

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Answer:

Step-by-step explanation:

1 stone = 14  pounds

To convert 11 stones into pounds = 11 * 14

= 154 pounds

Unit rate:-

Total stones=11

Total weight

Answer:

O 21 your ita not correct

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer: the answer is c

Step-by-step explanation:

Answer:

Angles STQ & RQT

Step-by-step explanation:

They are on opposite sides, but they are also interior.

Hope this helps! Have a good day!

Answer:a

Step-by-step explanation:

Answer:

Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75.

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

Step-by-step explanation:

Total treats to buy = 20

Total cost to spend = $30

Price of one candy pack = 1.75

We need to find:

a) What is the maximum number of packs that she will be able to buy?

Price of 1 candy pack = $1.75

If she spends $30, divide 30 by 1.75 to get the number of candy packs she can buy

Number of candy packs = \(\frac{30}{1.75} = 17.14 \approx 17\)

So, Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75

b)  Will that be enough for all of her students?

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

1st term - 2

2nd term - 3

3rd term - 4

4th term - 5

5th term - 6

I think I got that right because it says Un+1 and n is the number in the sequence.

Answer:

the answer to the problem is 20.8%

three fair dies are rolled. The first die is a 10-sided fair die and it shows 8.The second die is a 20-sided fair die and it shows 21.The third die is a 6-sided fair die and it shows an odd number. the probability is 1/400.

The probability that all three are occurring is given by the probability of the first die multiplied by the probability of the second die multiplied by the probability of the third die

Probability = P(first die shows 8) * P(second die shows 21) * P(third die shows an odd number)

The probability of the first die showing 8 is 1/10The probability of the second die showing 21 is 1/20The probability of the third die showing an odd number is 3/6 (as there are 3 odd numbers out of 6 numbers)Therefore, the probability of all three happening is:

Probability = P(first die shows 8) * P(second die shows 21) * P(third die shows an odd number) = (1/10) * (1/20) * (3/6) = 1/400

Thus, the probability is 1/400.

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Answer:

4

Step-by-step explanation:

If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

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An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is \(y = 12500(0.86)^x\) and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

\(y = ab^x\)

Where:

\(a \to\) the first term

\(b \to\) rate

\(x \to\) years after 1999

\(y \to\) depreciated value

When \(x = 0\ \&\ y=12500\)

The equation \(y = ab^x\) is:

\(12500 = ab^0\)

\(12500 = a*1\)

\(12500 = a\)

\(a =12500\)

When \(x = 1\, \&\ y = 10750\)

The equation \(y = ab^x\) is:

\(10750 = ab^1\)

\(10750 = ab\)

Substitute \(a =12500\)

\(10750 = 12500 \times b\)

Solve for b

\(b =\frac{10750 }{12500}\)

\(b =0.86\)

So, the equation is:

\(y = ab^x\)

\(y = 12500(0.86)^x\)

To calculate the depreciated value in 2010, we first solve for x in 2010

\(x = 2010 - 1999\)

\(x = 11\)

So, the depreciated value (y) is:

\(y = 12500(0.86)^x\)

\(y = 12500 \times 0.86^{11}\)

\(y = 2379\)

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Answer:

Multiplicar el divisor por la unidad seguida de tantos ceros como cifras decimales queramos eliminar (3,6 x 10 = 36).

Multiplicar el dividendo por el mismo número que hayamos multiplicado el divisor (278 x 10 = 2780).

Answer:

블랙핑크

Step-by-step explanation:

Answer:

212 R 7

Step-by-step explanation:

Hope this helped!

Answer:

212 with a remainder of 2

Step-by-step explanation:

you divide it the when you get the decimal its 20 but you only put 2

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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The value of x in the right triangle using pthagorean theorem is 3√41.

The figure in the image is that of a right triangle with of its interior angle at 90 degrees.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

From the figure:

Hypotenuse c = 25

Leg a = 16

Leb b = x

Plug these values into the above formula and solve for x:

c² = a² + b²

25² = 16² + x²

625 = 256 + x²

x² = 625 - 256

x² = 369

Take the square root( we use the positive value because its dimension ).

x = √369

x = 3√41

Therefore, the value of x is 3√41.

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According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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To find the mean time it takes for Diane and her friends to complete the obstacle course, we added up the time taken by each person and divided by the total number of people. The mean time is 13.0 minutes.

Add up the time taken by each person

Diane: 12

Friend 1: 14

Friend 2: 10

Friend 3: 16

Total time = 12 + 14 + 10 + 16 = 52 minutes

Count the total number of people:

Diane and three friends, so the total number of people = 4

Divide the total time by the total number of people to find the mean time

Mean time = Total time / Total number of people

Mean time = 52 / 4

Mean time = 13.0 minutes

Therefore, the mean time it takes for Diane and her three friends to complete the obstacle course is 13.0 minutes.

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--The given question is incomplete, the complete question is given

" Diane is a camp counselor she designs a new obstacle course in testicles with three friends. The plot data shows the time it takes them to complete the obstacle course. What is the mean of time

the plot data for the time taken by each person in minutes is as follows

Diane: 12

Friend 1: 14

Friend 2: 10

Friend 3: 16 "--

Answer:

50-(5×8)

Step-by-step explanation:

brainliest please

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer: 18.36

Step-by-step explanation:

Replace "z" with "2":

\(9.18 \cdot 2 = \boxed{18.36}\).

Answer:

12.1 seconds

Step-by-step explanation:

84.7/7 = 12.1

Answer:

12.1

Step-by-step explanation:

Divide the 84.7 by the # of people on team (7)