expand and simplify y = 3(x – 6)2 + 4

The proofing that Triangle CAD equals triangle CBD is given below.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to a 180 degree angle.

Given,

AC is the common hypotenuse. ∠B=∠D=90°.

To prove,

∠CAD=∠CBD

Since, ∠ABC and ∠ADC are 90°, these angles are in the semi-circle.  lThus, both the triangles are lying in the semi-circle and AC is the diameter of the circle.

⇒ Points A,B,C and D are concyclic.

Thus, CD is the chord.

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Complete question

ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD=∠CBD.

Answer:

13.05

Step-by-step explanation:

(36)/(125) in fraction

Answer:

13.05

Step-by-step explanation:

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal  to the other triangle.

ASA (angle, side, angle) ASA, which translates for "angle, side, angle," denotes the existence of two triangles whose included side and two known angles are equal.

Thus, when two angles with the included side with one triangle are equal to two angles the included side of another triangle, two triangles are said to be congruent.

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Answer:

Step-by-step explanation:

width = x

length = x + 4

Area = l * w = 60

Area = x * (x + 4) = 60

x^2 + 4x - 60 = 0

(x - 6)(x + 10) = 0

x - 6 = 0 is the only valid answer. Nothing can be minus in this question.

x - 6 = 0

x = 6

So the width is 6

The length = 6 + 4 = 10

Answer:

78-----234

100%-------(234÷78)*100

=300

Answer is 300

It is verified that f(x) is a solution of the given differential equation.

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Answer:

Multiply the number of producers by $ 5,000.00

Question:

Members of a producer association

decided to donate $ 5,000.00 each to improve the production. Than

procedure allows know the total contribution?

A) Divide $ 5,000.00 between the

number of producers

B) Multiply the amount of producers for $ 5,000.00

C) Add the amount of producers plus $ 5,000.00

О

D) Subtract $ 5,000.00 from the amount of producers

Step-by-step explanation:

We are asked to find the total contribution

Each manufacture will contribute $5,000.00

We were not told the number of manufacturers that would be contributing the amount.

Total contribution = number of manufactures × $5000

The procedure that allows one to know the total contribution:

Multiply the number of producers by $ 5,000.00

Option has B stated 'amount' instead of 'number'. It may be a mistake

B) Multiply the amount of producers for $ 5,000.00

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

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Answer:

walking speed is 2 m/s

Step-by-step explanation:

given data

distance between Melissa and friend = 3 mile

total time of the trip = 2 hour

solution

we consider here

walking speed = s₁

bike speed = s₂  

so s₂ = s₁ + 4    .................1

and

time is express as

time = distance ÷ speed      .................2

so time for Melissa to friend reach = 3 ÷ s₁    

and time for return from her friend =  3 ÷ s₂  

so put this value in equation 2 we get

time = 3 ÷ s₁  + 3 ÷ s₂  

2 = \(\frac{3}{s_1} + \frac{3}{s_1 + 4}\)    

solve it and we will get

s₁² + s₁ - 6 = 0

s₁ = 2 m/s

so walking speed is 2 m/s

The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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There will be about an 18% chance that a student participates in student council, that the student participates in after-school sports.

A = Student participates in student council

B = Student participates in after-school sports

To P(A | B) = P(A ∩ B)/P(B). P(A | B) literally means "probability of event A, given that event B has occurred."

P(A ∩ B) is the probability of events A and B happening, and P(B) is the probability of event B happening.

so:

P(A | B) = P(A ∩ B)/P(B)

P(A | B) = 11% / 62%

P(A | B) = 0.11 / 0.62

P(A | B) = 0.18

There will be about an 18% chance, that the student participates in after-school sports.

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Hope it helps u mate........

Answer:

9920

Step-by-step explanation:

S.I=PTR/100

A=P+SI

so, we can say A=P+PTR/100

calculate it

Principal is given 8000

SI=8000×8×3/100=1920

A=8000+1920=9920

so amount 9920 should be payed after 3 year to clear her debt

The answer is

Step-by-step explanation:

Since there is 3 even numbers and 3 odd numbers it makes a 50/50 chance when spun once. If you spin it 60 times you will have spun it 30 times theoretically.

The probability of the influenced voters, if The political scientist randomly surveyed 2509 voters, 709 said the advertisements did influence their vote, is 0.283.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

The political scientist randomly surveyed 2509 voters, n = 2509,

709 said the advertisements did influence their vote, S = 709,

Calculate the probability of influenced voter as shown below,

\(Probability = S / n\)

Probability = 709 / 2509

Probability = 0.283

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The surface area of a cylinder is approximately 240.33 square inches.

The formula for the surface area of a cylinder is A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder.

Given the 24-inch cylindrical tube and its base has a 3-inch diameter.

Here,

Radius r = 3/2 = 1.5 inches

Height h = 24 inches

To determine the surface area of the container, substitute the given values for r = 1.5 and h = 24:

A = 2π(1.5)² + 2π(1.5)(24)

A = 2π(2.25) + 72π

A = 4.5π + 72π

A = 76.5π

We can approximate π as 3.14, then

A ≈ 76.5× 3.14

Apply the multiplication operation, and we get

A = 240.33 square inches

Thus, the surface area of a cylinder is approximately 240.33 square inches.

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

I did this bfor. You have got to trust me.

\(\boxed{\underline{\bf \: ANSWER}}\)

\( \sf - 6y + 10 = 8 \)

Subtract 10 from both sides.

\( \sf-6y=8-10 \)

Subtract 10 from 8 to get -2.

\( \sf-6y=-2 \)

Divide both sides by -6.

\( \sf \: y=\frac{-2}{-6} \\ \)

Reduce the fraction \(\sf\frac{-2}{-6}\) to its lowest terms by extracting and cancelling out -2.

\( \sf \: y=\frac{1}{3} \\ \)

\( \sf \: y=\frac{1}{3}\approx \boxed{ \bf \: 0.33...} \\ \)

________

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

Answer:

6\19

Step-by-step explanation:

I put in 4 14\25 like the other peson said to do it was WRONG the real answer is 6\19 Please put me as brainlies!!! Hope this helped! :)

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

remember, in order to calculate the weight on earth, we need to multiply the mass of the object with the force of Gravity (9.8 m/s^2 on earth)

so, her weight would be:

48 x 9.8 = 470.4 >>>>>>> Will be 470 if we round it to the nearest whole number.

Step-by-step explanation: Hope this helps. Mark me brainliest!! :)))

Answer: 470

Step-by-step explanation:

Answer:

Nope

Step-by-step explanation:

According to the Triangle Inequality Theorem, any 2 sides of the triangle must always be more than the third. Here, we can see that the theorem is violated because 11 + 11 < 25. Therefore, it is not a legitimate Triangle.

Answer:

No.

Step-by-step explanation:

A circle is defined as a figure in which all points are equidistant from the center, or C.  In order to determine how far points A and B are from the center, we must first find the difference in positioning from (2,5) to each point and then use Pythagorean Theorem to calculate the length of the hypotenuse.  Point A establishes that the radius of the circle must be 10 units, and Point Bis only about 8 units away.

Answer:

Step-by-step explanation:

The volume of a cylinder is 3 times bigger than a cone with equal radius and height

To know this we have to compare the volumes of both solids first.

Let us assume the height and radius of the cone and radius are

6 and 2 mm respectively

so that the volume of a cone is given as

Volume of cone= 1/3 πr^2h

and the volume of cylinder is given as

Volume of cylinder= πr^2h  

1. Volume of cone= 1/3 πr^2h

Volume of cone= 1/3 *3.142*(2)^2(6)

Volume of cone= 75.408/3

2.  Volume of cylinder= πr^2h

Volume of cone= 3.142*(2)^2(6)

Volume of cone= 75.408

From the analysis the volume of a cylinder is three times bigger the volume of a cone with similar radius and height

Equation: y * 5 = 85

In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.

This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.

For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.

In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.

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When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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Answer:

9 pounds

Step-by-step explanation:

you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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Answer:

mas pra vc mandar

\(7385\)

Answer:

how am i supposed to know

Step-by-step explanation:

Answer:

as many as he wants?

Step-by-step explanation:

What are we looking for in the question?

Daniel and Maria must babysit for 6 hours for their total fees to be the same.

To find the number of hours at which Daniel and Maria have the same total fee, we need to compare their fee structures and determine when their fees are equal.

Daniel charges a flat fee of $10 plus $6 per hour. So his total fee can be represented by the equation:

Total fee (Daniel) = $10 + $6 * Number of hours

Maria's total fee is given in the table. We can see that the total fee increases by $4 for every additional hour. So we can represent Maria's total fee by the equation:

Total fee (Maria) = $22 + $4 * Number of hours

To find the number of hours at which their fees are equal, we set the two equations equal to each other and solve for the number of hours:

$10 + $6 * Number of hours = $22 + $4 * Number of hours

Simplifying the equation, we get:

$6 * Number of hours - $4 * Number of hours = $22 - $10

$2 * Number of hours = $12

Dividing both sides by $2, we find:

Number of hours = $12 / $2

Number of hours = 6

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