If PQ¯ is tangent to circle R at point Q, and PS¯ is tangent to ⊙R at point S, what is the perimeter of quadrilateral PQRS?

The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Answer:

there are 90 minutes.

Step-by-step explanation:

60 minutes in an hour. 30 in half an hour. that equals 90 total

Answer:

There are 90 mins

Step-by-step explanation:

1 hour = 60 mins

0.5 hour(s) = 30 mins

~ You add 60 + 30 and that gives you 90 ~

Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

Answer:

Most bill and account collectors are required to have a high school diploma, although some employers prefer applicants who have taken some college courses. Communications, accounting, and basic computer courses are examples of classes that are helpful for entering this occupation.

Step-by-step explanation:

Answer:

Firstly we need to find the gradient of give two points as follows;

M= y

Answer:

Answer: y = -x - 1

Step-by-step explanation:

- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]

- It has a general equation as below;

\({ \rm{y = mx + c}} \\ \)

- So, consider the line given in our question; Let's find its slope m first;

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)

- From the points given in the question, (-7, 6) and (3, -4)

\({ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}\)

- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept

- Consider point (3, -4);

\({ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}\)

- y-intercept is -1

hence equation is y = -x - 1

\({ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}\)

Answer:

P(Red) = 1/3

Step-by-step explanation:

Total number of marbles = 15

5 red

6 green

4 blue

Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.

Here,

Given: actual flower bed: 18

This represents 30% of all garden beds.

Assume that x is the size of the entire flowerbed.

So, 30% of x= 18

30/100 x = 18

x= 1800/ 30

x= 60

60 garden beds are therefore planned by the students.

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

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Step-by-step explanation:

how where is the graph cause I don't understand that

Knowing that the flat fee for jobs is $400, and that the price may increase depending on the linear feet of granite used in the job, the function that gives us the price of a job depending on the amount of granite (linear feet) is the following:

\(P(x)= 80x+400\).

The y-intercept is the point where the graph of a function touches the y axis. It's generated when x is 0. Hence, if we take the equation and substitute x by 0 we get the y-intercept. This is how to do it:

\(P(0)= 80(0)+400\\ \\y=400\)

Therefore, the y-intercept of this graph is located at the point (0, 400).

It tells us that the minimal price of Jeri's job is $400, even if no granite is used on the job.

The slote of a linear equation is always the coefficient of x when the equation is solved for y. In this case, the slope of the graph is 80, since that's the number x is being multiplied by with the function solved for y.

It represent the increase in price that a job has depending on the amount of granite (per linear foot) used on it.

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

The location of L″ is (-5, 0).

To find the location of L″, we first need to apply the first translation rule to the coordinates of trapezoid JKLM:

J': (x, y) → (x + 3, y - 3) => J'(-2+3, 1-3) = J(1, -2)

K': (x, y) → (x + 3, y - 3) => K'(1+3, 1-3) = K(4, -2)

L': (x, y) → (x + 3, y - 3) => L'(3+3, -2-3) = L(6, -5)

M': (x, y) → (x + 3, y - 3) => M'(-4+3, 2-3) = M(-1, -1)

Now, we need to apply the second translation rule to the coordinates of J', K', L', and M':

J'': (x, y) → (x - 1, y + 1) => J''(1-1, -2+1) = J''(0, -1)

K'': (x, y) → (x - 1, y + 1) => K''(4-1, -2+1) = K''(3, -1)

L'': (x, y) → (x - 1, y + 1) => L''(6-1, -5+1) = L''(5, -4)

M'': (x, y) → (x - 1, y + 1) => M''(-1-1, -1+1) = M''(-2, 0)

Therefore, the location of L″ is (-5, 0).

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Answer:

(5,-4)

Step-by-step explanation:

Step-by-step explanation:

\(x - 197 = 35 - 2x \\ x + 2x = 35 + 197 \\ 3x = 232 \\ x = 77.33\)

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer:

B. C. D. E ALL HAVE FOUR SIDES

Answer:

B

Step-by-step explanation:

Answer:

×=-11

Step-by-step explanation:

3x+21=-12

3×=-33

×=-11

Answer:

x=-11

x+7=-4

Step-by-step explanation:

3(x+7)=-12

3x+21=-12

3x=-12-21

3x=-33

x=-33/3

x=-11

-11+7=-4

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

The given integral is;

y = ∫18x sin (9x² + 8) dx

Put u = 9x² + 8

Then, on differentiation

18x dx = du

substitute the values:

y = ∫ sin (u) du.

y = -cos u

Put u = 9x² + 8

y = -cos (9x² + 8) + c

c is the constant of integration.

Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Quadratic equations are equations that have a leading degree of 2. The time it take for the object to travel 70 ft is 2seconds.

Quadratic equations are equations that have a leading degree of 2. Given the expression that represents the distance of a falling object as:

d = 3t + 16t^2

If the object travels 70 ft, then;

70 = 3t + 16t^2

Equate to zero to have:

3t + 16t^2 - 70 = 0
16t^2 + 3t - 70 = 0

Factorize;

On factorizing, the values of the time are t = -35/16 and t =2. Since the time taken cannot be negative, hence the time it take for the object to travel 70 ft is 2seconds.

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Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

If there are 7 red balls and 10 black balls in a bag, then we can say that  red and black balls are present in the bag in ratio 7: 10

Ratio is a relationship between two or more values. a  units per b units.

a/b or a:b .

A part to part ratio of 7:10 can be written in the form of example given below:

If there are 7 red balls  and 10 black balls in a bag, then we can say that red and black balls are present in the bag in ratio 7:10

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To solve for the middle range of mean:

The middle 95% of the pregnancies are within two standard deviations of the mean:

The middle 95% of the pregnancies are within two standard deviations of the mean are 230 and 298

The middle 95% of the average length of pregnancies' would be a 95% CI: mean +/- z-critical * standard deviation/square root(sample size)

Critical value for 95% confidence interval = 1.96

The middle 95% of the average length of pregnancies' would be a 95% CI: between 258.018 and 269.982