18 = 0.29 so 20 = ???

The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

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Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

Step-by-step explanation:

17

343.23 /18 is 19.0683333333

so the closest number to that is 17, if not try 23!

Answer:

700$

Step-by-step explanation:

The relation shown is not a function.

This comes from the fact that the relation gives to values to a point in set A.

Answer:

12x  2 −48x+36

Step-by-step explanation:

Answer:

10 times as much

Step-by-step explanation:

90 000 x 10 = 900 000

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

a)\(R(x)=-520x^2+2600x\)

b)\(P(x)=-520x^2+2600x-30\)

c)x=2.5

d)P(x)=3220

Step-by-step explanation:

Let Demand function be  D=Ax+B

We are given that  When you charged $4 the demand was 520 log-ons per month

So, D = 520 , x = 4

So, 520=4A+B  ----1

We are also given that When you lowered the price to $3.50, the demand increased to 780 log-ons per month.

So, D=780 , x = 3.50

So, 780=3.5A+B ----2

Substract 2 form 1

4A+B-3.5A-B=520-780

0.5A=-260

\(A=\frac{-260}{0.5}\)

A=-520

Substitute value of A in 2

780=3.5(-520)+B

780-3.5(-520)=B

2600=B

So, D=-520x+2600

Revenue = Demand (x)=(-520x+2600)(x)

a) \(R(x)=-520x^2+2600x\)

b) Profit = Revenue - cost

\(P(x)=-520x^2+2600x-30\)

c)to obtain the largest possible monthly profit.

Equate the first derivative of profit to 0

P'(x)=-1040x+2600=0

\(x=\frac{2600}{1040}\)

x=2.5

d)Now to find  the largest possible monthly profit

Substitute x = 2.5 in Profit function

\(P(x)=-520(2.5)^2+2600(2.5)-30\)

P(x)=3220

Answer:

y = 3x + 10

y = x

y = 1/2x - 8

The slope-intercept of the equation of a line is noted as:

Where:

m = slope

b = y-intercept

From the given equations, the ones that follow this format are:

y = 3x + 10 has a slope of 3 and y-intercept of 10

y = x means that the slope is 1, and the y-intercept is 0

y = 1/2x - 8 has a slope of 1/2 and y-intercept of -8

Answer:

12 cm !!!

hope you mark me bainliest or your friend

Answer:

b, f, d, h

Step-by-step explanation:

Answer:

A B E D

Step-by-step explanation:

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + 14 = 20

4 = x²

x/4 = 50

x - 7 = 1

Answer:

19

Step-by-step explanation:

Given average of 3 numbers = 17 Total of 3 numbers = 17×3 = 51. Given average of 2 numbers = 16 Total of 2 numbers = 16×2 = 32 Therefore, Third Number = 51–32 = 19

Answer:

\((x+2)(x+5)\)

Step-by-step explanation:

Let's factor x2+7x+10

x2+7x+10

The middle number is 7 and the last number is 10.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Can you think of the two numbers?

Try 2 and 5:

2+5 = 7

2*5 = 10

Fill in the blanks in

(x+_)(x+_)

with 2 and 5 to get...

(x+2)(x+5)

Answer:

There are 11 small jars on a table and 3 of 11 are jars of honey.

=> Probability that Rosie takes at least 2 jars honey:

P = P(Rosie picks 1 jar of honey) + P(Rosie picks 2 jars of honey)

  = (3/11) x (8/10) + (8/11) x (3/10) + (3/11) x (2/11) =  0.486 = ~0.49

Hope this helps!

:)

Answer:

Step-by-step explanation:

you can use a treee diagrammm so the answer ist goeig to be 0.49 thums up

Answer:

8

24 divided by 8 =3

32 divided by 8 =4

Answer:

In the beginning, there is 60 L of water in the bathtub. The water drains out from the bathtub at 2.5 L per minute. How many minutes does it take until all of the water is drained out?

Zero of the function: (24, 0)

The value 24 min represents the number of minutes it takes for the water to completely drain out from the bathtub.

Step-by-step explanation:

Zero of the function is when y=0

0 = 60 -2.5 x

x = 24

Answer:

A

Step-by-step explanation:

Using proportions, it is found that one sandwich costs $4.25.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering x as the cost of a sandwich, the total cost is given as follows:

1.08(3x + 1.75) + 5 = 20.66.

The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:

1.08(3x + 1.75) = 15.66

3x + 1.75 = 14.5

3x = 12.75

x = 12.75/3

x = 4.25.

Hence one sandwich costs $4.25.

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Answer:

uhhhh can you explain more i dont know how many where there in the first place

Step-by-step explanation:

We can conclude that The number of vehicles at Nam's Gas Station is 23.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Since The number of cars is in the y-intercept line

the number of vehicles should be

= 3 + 4 + 5 + 6 + 3 + 2

= 23

Therefore, we can conclude that The number of vehicles is at Nam's Gas Station is 23.

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Answer:

i think u got it

Step-by-step explanation:

Answer:

2.388,16

Step-by-step explanation:

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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there is a 20% chance that the point chosen at random will lie on bg.

To find the probability that a point chosen at random will be on the line segment bg, we need to consider the length of bg in relation to the length of the entire line segment ak.

Let us assume that ak is a straight line segment, and bg is a smaller segment that lies entirely within it. To find the probability, we need to divide the length of bg by the length of ak.

Let the length of bg be x and the length of ak be y. Then the probability that a point chosen at random will be on bg is:

Probability = Length of bg / Length of ak

Probability = x / y

However, we need to be careful here. If we choose a point anywhere on ak, it may not necessarily lie on bg. There are an infinite number of points on ak, but only one segment bg. Therefore, the probability we are looking for is actually the ratio of the lengths of bg to ak.

So, if we know the lengths of bg and ak, we can find the probability by dividing them. For example, if bg is 2 units long and ak is 10 units long, the probability of choosing a point on bg is:

Probability = 2 / 10

Probability = 0.2 or 20%

In this case, there is a 20% chance that the point chosen at random will lie on bg.

In conclusion, the probability of a point chosen at random on ak being on bg is directly proportional to the length of bg in relation to the length of ak. Therefore, we need to find the ratio of the lengths of the two line segments to determine the probability.

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what is the probability  a point is chosen at random on ak and then the point will be on bg. dont forget to reduce the products?

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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