Lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF, and ∠COE.

Answer:

t+26=25

t= 26-25 = 1

Step-by-step explanation:

Answer:

-0.25 units

Step-by-step explanation:

144x^2 - 72x + 9 = 0

common factor: 9

16x^2 - 8x + 1 = 0

(4x + 1)^2 = 0

4x +1 = 0

4x = -1

x = -0.25 units

Answer:

5-4=12x+x

1=13x

1/13=×

The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer -21√6

Step-by-step explanation

-3√-294 given

-3 x 7 √6 Because 7 x 3 = 21 and you just keep the six

-21√6 calculate the product there is your answer

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\( \frac{( {a}^{2} - 22a + 117) }{(a - 13)} = \frac{(a - 13)(a - 9)}{(a - 13)} = a - 9 \\ \)

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Answer:B

Step-by-step explanation: I did the test

The function is set of ordered pairs in which each X element has only a Y element.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The correct statement which does not represent a relation that is a function.

Since,

The vertical line test is used to determine the function exists or not. If the vertical line is moved across the graph one point of the graph is a function.  The line moving from point to point is a function.

Hence the option A is correct.

Thus, The function is set of ordered pairs in which each X element has only a Y element.

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5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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I can't tell if the entire question is here or not, it appears to be missing something.

If you did put all of the information here, h(2) = 5 because there is no x input.

Answer:

224

Step-by-step explanation:

4x7x8

The amount he should invest today is $279,229.23.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

A = $460,000

r = 4.59%

t = 11 years

Semi-annually.

So,

n = 2

Now,

A = P \((1 + r/n)^{nt}\)

460,000 = P \((1 + 0.0459/2)^{22}\)

P = 460,000 / \(0.02295^{22}\)

P = $279,229.23

Thus,

He should invest $279,229.23 today.

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The probability of an adult having hypertension is  0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is  0.444.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.

a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.

b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.

c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.

d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.

e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.

f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).

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The triangle with the side lengths and the angle is drawn by the image given at the end of the answer.

The area of the triangle is given as follows:

1.68 inches squared.

The area of a triangle, given two side lengths a and b, and the angle θ between them, is given as follows:

A = ab x sin(θ).

The parameters for this problem are given as follows:

The angle is of 50º, hence the area is given as follows:

A = 1.25 x 1.75 x sin(50º)

A = 1.68 inches squared.

The problem asks for the area of the triangle.

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Problem

The graduation rate of a local high school is growing at a rate which can be estimated by the

following linear model, where y represents the graduation rate, as a percentage, x years

after

2017.

y = 74.18 +1.57x%

Use the model to predict the first year in which the school will exceed a 90% graduation rate.

Solution

For this case we want to find where y>90

So then we can do the following:

74.18 + 1.57 x > 90

1.57 x> 90-74.18

1.57 x > 15.82

And dividing by 1.57 we got:

x > 10.076

So then approximately after 2027 they would have a graduation rate higher than 90%

Answer:

The real answer is 24 (c)

Because 28(d) is wrong

I got it wrong

The measure of AD from the given figure is 24 units

In order to determine the measure of AD from the given diagram, we will use the expression below;

AB/AE = AC/AD

Substitute

6/4 = 36/AD

cross multiply

6AD = 4 * 36

AD = 4 * 6

AD = 24 units

Hence the measure of AD from the given figure is 24 units

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To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

30 mph

Step-by-step explanation:

6 x 500% = 6 x 5.00 = 30 mph

\( \bf y- 18 = 14 \)

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

\( \bf 3(y+5) = ?\)

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

\( \bf It \: is \: given \: that \: y - 18 = 14 \)

\( \bf \implies y = 14 + 18\)

\( \bf \implies y = 32\)

Now, by filling value of y in 3(y+5), we get,

\( \bf = 3(32 + 5) \)

\( \bf = 3 \times 37 \)

\( \bf = 111 \)

\( \pink{\bf Hence, \: the \: value \: of \: 3(y+5) \: is \: 111.}\)

We have y-18=14

➠ y-18=14

➠y=14+18

➠y=32

Putting y=32 in 3(y+5),we get

➠ 3×(32+5)

➠ 3×37

➠ 111

Thus the required answer is 111.

Step-by-step explanation:

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Answer:

Answer:

The x-Intercept of  is \(x+3\) ·\(y=9\) is \((9,0)\)

The y-Intercept of  is \(x+3\) ·\(y = 9\) is \((0,3)\)

We included the graph of the function at the end of this solution.

Step-by-step explanation:

Let x + 3 · y = 9, we must transform this function into its explicit form. That is:

x + 3 · y = 9

3 · y = 9 - x

y = 3 - \(\frac{1}{3}\) · x

Where:

x, y are the independent and dependent variables, dimensionless.

x-Intercepts correspond to such values of x such that y = 0 That is:

( y = 0)

3 - \(\frac{1}{3}\) · x = 3

x = 9

The x-Intercept of  x + 3 · y = 9 (9,0)

y-Intercepts correspond to such values of y such that x = 0. That is:

(x = 0)

y = 3

The y-Intercept of x + 3 · y = 9 is (0,3).

Finally, we proceed to graph the given function and label all intercepts.

Answer:

The angles are adjacent and x=100

Answer:

The Answer would be B. (8+12)

Step-by-step explanation: If you do the full equation 4(2+3) you get 20. So therefore, the last step in order to solve would be to add 8+12=20.

Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm

To answer the question, we need to know Hooke's law.

This states that the force, F on a stretched spring is directly proportional to its extension, x.

So, F ∝ x

Mathematically, F = kx where k = spring constant

Making x subject of the formula, we have

x = F/k

Given that F = 37 N and k = 380 N/m, we have

x = F/k

x = 37 N/380 N/m

x = 0.0974 m

x = 9.74 cm

So, the spring stretches by 9.74 cm

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answer : 10 fish in each tank because 10 time 5 equals 50 and there 5 tanks sotaht mean 50 divided by 5 it will be 10 fish

The answer is:

(x - 3)(2x + 9)

Work/explanation:

Since (x-3) appears in both terms, we move it to the first place:

(x - 3)

We need to have another term; for that other term, we take what's left, and put that as our other term.

As a result, we have:

(x - 3)(2x + 9)

Hence, this is the answer.

Answer:

20 and 21

Step-by-step explanation:

20.04 is the square root and is between 20 and 21

Answer:

True.

Hope this helps.

Answer:

16

Step-by-step explanation:

Divide the length value by 3