A vector has the initial point P <1, -11> and the terminal point Q <-2, -7>. What are the components of the vector?a

Exactly D

well i dont know why gram is non standard

hope it helps.

The correct answer is d. gram. The gram is indeed a metric unit; however, it is not considered a standard metric unit in the International System of Units (SI).

It is equal to one thousandth of a kilogram. The kilogram (a), meter (b), and second (c) are all standard metric units and form the basis of the International System of Units (SI). The kilogram is the unit of mass, the meter is the unit of length, and the second is the unit of time. These units are universally recognized and used in scientific, engineering, and everyday measurements.

Therefore, the gram (d) is the correct option as it is not considered a standard metric unit.

The rest of the options are as follows:

a. kilogram: The kilogram is the standard unit for mass in the International System of Units (SI). It is defined as the base unit for mass.

b. meter: The meter is the standard unit for length in the SI. It is defined as the base unit for length and is commonly used to measure distances.

c. second: The second is the standard unit for time in the SI. It is defined as the base unit for time and is commonly used to measure durations and intervals.

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The length of the side x is derived to be √2/2 using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

The right triangle is also an Isosceles having same base angles so;

x² + x² = 1²

2x² = 1

x² = 1/2

x = √(1/2) {take square root of both sides}

x = 1/√2

x = √2/2 {rationalize}

Therefore, the length of the side x is derived to be √2/2 using the Pythagoras rule.

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Answer:

I didn't understand the question 100% but I think the question is asking you to give an equation from the given one

so the answer will be

-s divided over tq

Using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.

The length of the wood needed to trim the window is the perimeter of the triangular shape shown in the image.

To find the perimeter, use the trigonometry ratio, to find the other two legs of the right triangle.

Thus:

Reference angle = 30°

Hypotenuse = 6 ft

Opposite = ?

Apply SOH:

sin 30 = opp/hyp

sin 30 = opp/6

Opp. = sin 30 × 6

Opp. = 3 ft

Find the other leg:

Reference angle = 30°

Hypotenuse = 6 ft

Adjacent = ?

Apply CAH:

cos 30 = adj/hyp

cos 30 = adj/6

Adj. = cos 30 × 6

Adj. = 5.2 ft

Perimeter of the triangle = 5.2 + 3 + 6 = 14.2 ft.

therefore, using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.

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Answer:

Step-by-step explanation:

Using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.

Trigonometry Ratios

The length of the wood needed to trim the window is the perimeter of the triangular shape shown in the image.

To find the perimeter, use the trigonometry ratio, to find the other two legs of the right triangle.

Thus:

Reference angle = 30°

Hypotenuse = 6 ft

Opposite = ?

Apply SOH:

sin 30 = opp/hyp

sin 30 = opp/6

Opp. = sin 30 × 6

Opp. = 3 ft

Find the other leg:

Reference angle = 30°

Hypotenuse = 6 ft

Adjacent = ?

Apply CAH:

cos 30 = adj/hyp

cos 30 = adj/6

Adj. = cos 30 × 6

Adj. = 5.2 ft

Perimeter of the triangle = 5.2 + 3 + 6 = 14.2 ft.

therefore, using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.

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Answer:

Yes, the distance and time is a proportional relationship. The constant of proportionality is 65.  X*65 = y.

Step-by-step explanation:

Answer:

pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi

Answer:

Therefore, the 12th term of the geometric sequence 5, 15, 45, ... is 885735.

Step-by-step explanation:

The 12th term of the geometric sequence 5, 15, 45, ... can be found using the general formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

where:

a1 is the first term of the sequence,

r is the common ratio, and

n is the position of the term that you're trying to find.

In this case,

a1 = 5

r = 15/5 = 3

n = 12

so:

a12 = 5 * 3^(12-1) = 5 * 3^11 = 5 * 177147 = 885735

Therefore, the 12th term of the geometric sequence 5, 15, 45, ... is 885735.

Answer:

12th term = 885735

Step-by-step explanation:

Meaning: A geometric sequence is an ordered set of numbers that progresses by multiplying or dividing each term by the same number.

5 x 3 = 15

15 x 3 = 45

The number we multiply the terms by in this sequence is 3.

4th term = 45 x 3 = 135

5th term = 135 x 3 = 405

6th term = 405 x 3 = 1215

7th term = 1215 x 3 = 3645

8th term = 3645 x 3 = 10935

9th term = 10935 x 3 = 32805

10th term = 32805 x 3 = 98415

11th term = 98415 x 3 = 295245

12th term = 295245 x 3 = 885735

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98415, 295245, 885735

hope this helps :)

If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.

What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.

Answer:

It is not a function.

Step-by-step explanation:

A relation's inputs are not repeated in a function.

Since the graph fails the vertical line test, it is not a function.

See picture.

Hope this helps.

Answer: x = 8, y = 8

Step-by-step explanation: If 8 is already on the exterior of the triangle then this means that every angle should also be 8. But, if this were an equilateral triangle, a triangle with equal sides, then ALL sides would HAVE to be 8. But since I don't have this information (if it's equilateral or not), then I can't be positive about this. Really hope this helps you!

The factored forms of the equations and the intercepts would be:

g(x) = x² - 4x - 21:

h(x) = x² + 8x + 12:

For g(x) = x² - 4x - 21:

To find the factored form, we need to factor the quadratic expression:

g(x) = (x - 7)(x + 3)

To find the x-intercepts, we set g(x) = 0 and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

To find the y-intercept, we set x = 0 and evaluate g(x):

g(0) = (0 - 7)(0 + 3) = -21

Therefore, the y-intercept of g(x) is (0,-21).

For h(x) = x² + 8x + 12:

h(x) = (x + 2)(x + 6)

To find the x-intercepts, we set h(x) = 0 and solve for x:

(x + 2)(x + 6) = 0

x = -2 or x = -6

To find the y-intercept, we set x = 0 and evaluate h(x):

h(0) = (0 + 2)(0 + 6) = 12

Therefore, the y-intercept of h(x) is (0,12).

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1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.

How do you find the 5 number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.

Smallest value = 1.0

Median of the first half data Q1 = 3.5

Median Q2= 5.0

Median of the second half data Q3 = 6.5

Largest number = 10.0

The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

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Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

p = The doctor prescribed medicine

q = The patient has recovered

The doctor did not prescribe medicine:

The patient recovered:

The truth table is given by:

Answer:

A

163.79 students were surveyed.

The survey asked randomly selected students whether they preferred vanilla ice cream or chocolate ice cream. 58% of the students said they preferred vanilla ice cream, with a 5% margin of error. To calculate the total number of students surveyed, we can use the following formula:

Number of Students Surveyed = (100 - Margin of Error) ÷ (Percentage that Prefer Vanilla/100)

In this case, we get:

Number of Students Surveyed = (100 - 5) ÷ (58/100)

Number of Students Surveyed = 95 ÷ 0.58

Number of Students Surveyed = 163.79

Therefore, 163.79 students were surveyed.

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We have to test the given series for convergence or divergence using the Alternating Series Test.The Alternating Series Test states that if an alternating series satisfies the following two conditions, then the series converges:a_n≥0 for all n.

a_n is decreasing with limit 0 as n approaches infinity.Using the above test, we have to test the series for convergence or divergence. The given series is 7-8+7/10-7/12+7/14-7/16+...On simplifying the series, we get the series as:7 - 8 + 7/10 - 7/12 + 7/14 - 7/16 +...We see that the series is alternating with a_n = (-1)^(n+1) * 7/(2n).Now we check if a_n≥0 for all n. As 7 and 2n are positive for all values of n, hence a_n is always positive for all n.

Therefore, the first condition of the Alternating Series Test is satisfied.Next, we need to check if a_n is decreasing with limit 0 as n approaches infinity.We have to evaluate the limit of a_n as n approaches infinity.Let us simplify the equation for a_n by removing the constants. We get, a_n = (-1)^(n+1) * 1/n.Using the limit definition, we have to check if the limit of a_n as n approaches infinity is 0. We have,L = lim n→∞ (-1)^(n+1) * 1/nHere, L = 0 as the denominator grows indefinitely large and the numerator is alternating between -1 and 1. Hence, the second condition of the Alternating Series Test is satisfied. Therefore, the given series converges.

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1. The probability that the student will know how to do all the problems on the exam can be calculated using the combination formula. There are a total of 10 problems and the student knows how to do 6 of them, so there are 4 remaining problems that the student needs to know how to do.

The number of ways to choose 4 problems out of 4 is 1, and the number of ways to choose 4 problems out of 10 is 10 choose 4, or (10!)/(4!(10-4)!), which simplifies to 210. Therefore, the probability that the student will know how to do all the problems on the exam is:

1/210 = 0.00476

So, the answer is 0.005.

2. To calculate the probability that the student knows how to do only 3 of the problems given on the exam, we need to use the combination formula again. There are a total of 10 problems and the student knows how to do 6 of them, so there are 4 remaining problems that the student needs to know how to do.

The number of ways to choose 3 problems out of the 6 that the student knows how to do is 6 choose 3, or (6!)/(3!(6-3)!), which simplifies to 20. The number of ways to choose 1 problem out of the remaining 4 is 4 choose 1, or (4!)/(1!(4-1)!), which simplifies to 4. Therefore, the probability that the student knows how to do only 3 of the problems given on the exam is:

(20*4)/210 = 0.38095

So, the answer is 0.381.

3. To calculate the probability that the student will not know how to do 3 or more of the problems given on the exam, we need to calculate the probability that the student will know how to do 0, 1, or 2 of the problems given on the exam.

The number of ways to choose 0 problems out of the 6 that the student knows how to do is 6 choose 0, or (6!)/(0!(6-0)!), which simplifies to 1. The number of ways to choose 4 problems out of the remaining 4 is 4 choose 4, or (4!)/(4!(4-4)!), which simplifies to 1. Therefore, the probability that the student knows how to do 0 problems given on the exam is:

(1*1)/210 = 0.00476

The number of ways to choose 1 problem out of the 6 that the student knows how to do is 6 choose 1, or (6!)/(1!(6-1)!), which simplifies to 6. The number of ways to choose 3 problems out of the remaining 4 is 4 choose 3, or (4!)/(3!(4-3)!), which simplifies to 4. Therefore, the probability that the student knows how to do only 1 problem given on the exam is:

(6*4)/210 = 0.11429

The number of ways to choose 2 problems out of the 6 that the student knows how to do is 6 choose 2, or (6!)/(2!(6-2)!), which simplifies to 15. The number of ways to choose 2 problems out of the remaining 4 is 4 choose 2, or (4!)/(2!(4-2)!), which simplifies to 6. Therefore, the probability that the student knows how to do only 2 problems given on the exam is:

(15*6)/210 = 0.42857

So, the probability that the student will not know how to do 3 or more of the problems given on the exam is :

1 - (0.00476 + 0.11429 + 0.42857) = 0.45238

Therefore, the answer is 0.452.

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The equations are given

x(t)=t+5, y(t)=3t^2−4, where t is on the interval [−4,0].

To find the rectangular form of parametric equations

Substitute the value of t from x in y.

Then ,

The rectangular form of parametric equations is

The interval where x fall is

Answer:

312

Step-by-step explanation:

each side is 60 cm, the main body is 192. Add both sides to get 120 and add 192 u get 312

Answer:

Josephine ran 24 miles

Answer:

I don't know what is your name is your

∠FED and ∠DEW are complementary because it is a sum of 90 degrees.

By the law of addition of complementary angles, m∠FED + m∠DEW = 90°

m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.

By the substitution property of equality, m∠FEW = 90°.

The ∠FEW is a right angle by the definition of right angles.

Complementary Angles defined as angles that sum up to 90 degrees.

Now, we are given that;

∠FED and ∠DEW are complementary.

We want to prove that ∠FEW is a right angle. Thus;

∠FED and ∠DEW are complementary because it is a sum of 90 degrees.

By the law of addition of complementary angles, we can say that;

m∠FED + m∠DEW = 90°

Also,

m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.

By the substitution property of equality, m∠FEW = 90°.

The ∠FEW is a right angle by the definition of right angles.

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If two independent tests are applied, and both yield positive results, the posterior probability that the selected individual has the disease can be calculated using Bayes' theorem.

To calculate the posterior probability, we can use Bayes' theorem, which relates the conditional probabilities involved. Let's denote the following:

- A: The event that the individual has the disease.

- B: The event that both tests are positive.

We are interested in finding P(A|B), the probability that the individual has the disease given that both tests are positive. According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

Here, P(B|A) represents the probability of getting two positive test results given that the individual has the disease, P(A) is the prior probability of the individual having the disease, and P(B) is the probability of getting two positive test results irrespective of whether the individual has the disease or not.

Since the tests are assumed to be independent, we can write P(B|A) as P(positive test) * P(positive test), where P(positive test) represents the probability of a single test being positive.

Therefore, the posterior probability can be calculated as follows:

P(A|B) = (P(positive test) * P(positive test) * P(A)) / P(B)

To obtain a specific numerical answer, we would need information about the prior probability of having the disease (P(A)), the probability of a single test being positive (P(positive test)), and the probability of both tests being positive (P(B)). Without these values, we cannot provide an exact posterior probability.

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There is a 0.9815 percent chance of probability a television is not broken.

Let's assume that Plant A provides televisions = P(A) = 0.65

Let's assume that Plant B provides televisions = P(B) = 0.15

Let's assume that Plant C provides televisions = P(C) = 0.20

Also, let D = event that the television is defective

Given that it is supplied by Plant A, the likelihood that the television is malfunctioning = P(D/A) = 0.015

The probability that the television is defective given that it is supplied by Plant B = P(D/B) = 0.025

The probability that the television is defective given that it is supplied by Plant C = P(D/C) = 0.025

We will first determine the likelihood of finding a defective television before determining the likelihood of finding one without a defect.

the probability a defective television is given by;

= P(A) × P(D/A) + P(B) × P(D/B) + P(C) × P(D/C)  

= 0.65 × 0.015 + 0.15 × 0.025 + 0.20 × 0.025  

= 0.00975 + 0.00375 + 0.005

= 0.0185

Now, what are the chances of finding a working television = 1 - Probability of a defective television

likelihood of discovering a television that isn't broken = 1 - 0.0185

= 0.9815

Therefore, there is a 98.15% chance of finding a television that is in good condition.

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Answer:

to scale drawing of 1cm to 2ft

top across would be 3cm

yellow line vertical would be 1cm

blue line (vertical) would be .5 cm

red line (vertical) would be .5cm

to scale 2cm to 1ft

top across would be 12cm

yellow vertical line would be 4 cm

blue would be 2cm

red would be 2cm

Answer:

Step-by-step explanation:

a) scale is 1cm : 2ft

   that means 1cm represents 2 ft

   accordingly, scale length of flag= 6/2 = 3cm

                         scale height of yellow stripe = 2 / 2 = 1cm

                         scale height of blue stripe = 1/2 = 0.5cm

                          scale height of red stripe = 1/2 = 0.5cm

b) scale is 2cm : 1ft

   that means 1ft is represented by 2cm

   accordingly, scale length of flag = 6 x 2 = 12cm

                        scale height of yellow stripe = 2 x 2 = 4cm

                        scale height of blue stripe = 1 x 2 = 2cm

                        scale height of red stripe = 1 x 2 = 2cm

Answer:

-9; 1

Step-by-step explanation:

x+4=5

x=5-4

x=1

x+4=-5

x=-5-4

x=-9

The solution of the quadratic equation (x + 4)^2 = 25 is x = -9 and x = 1

The correct answer is option (C)

"It is a polynomial with degree 2. The general form of quadratic equation is ax²+ b x + c =0, where a, b, c are real numbers with a ≠ 0."

For given example,

We need to find the solution of the quadratic equation (x + 4)^2 = 25.

⇒ (x + 4)^2 = 25

⇒ x² + 2(4)(x) + (4)² = 25

⇒ x² + 8x + 16 = 25

⇒ x² + 8x - 9 = 0

⇒ x² + 9x - x - 9 = 0

⇒ x(x + 9) - 1(x + 9) = 0

⇒ (x + 9)(x - 1) = 0

⇒ x + 9 = 0   and x - 1 = 0

⇒ x = -9 and x = 1

The correct answer is option (C)

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These values of h and k are specific to the given system of equations and may not apply to other systems.

(a) The system has no solution when h = 16.
(b) The system has a unique solution for any value of h ≠ 16.
(c) The system has many solutions when h = 16.

To determine the values of h and k that result in different solutions for the given system of equations, let's analyze the coefficient matrix of the system:
```
2   4
8   h
```
(a) To have no solution, the coefficient matrix must be inconsistent. This occurs when the determinant of the matrix is zero. In this case, the determinant is 2h - 32. So, to have no solution, we need 2h - 32 = 0. Solving this equation, we find h = 16. Therefore, the system has no solution when h = 16.

(b) To have a unique solution, the coefficient matrix must be consistent and have a non-zero determinant. This means that 2h - 32 ≠ 0. Since the determinant of the coefficient matrix is 2h - 32, we can conclude that the system has a unique solution for any value of h such that h ≠ 16.
(c) To have many solutions, the coefficient matrix must be consistent and have a determinant of zero. In this case, we need 2h - 32 = 0, which gives us h = 16. Therefore, the system has many solutions when h = 16.

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