A circle has diameter 11 cm
Pythagoras theorem
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Answer:

-22

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    g*(x)-(2*f*(1/2*x))=0

Answer:

sorry I don't understand

Answer:

The rate of change for Function 2 is one third the rate of change for Function 1.

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Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

From the table, the probabilities of each total cost are:

[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]

[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]

[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]

[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]

[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]

Item a:

This probability is:

[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]

There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

The expected value is the sum of each outcome multiplied by it's respective probability.

Hence:

[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]

The expected amount the couple actually has to pay is $36.85.

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Answer:

D)86400 seconds

Step-by-step explanation:

In 1 hour there are 60 minutes and in 1 minute there are 60 seconds.

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Answer:

Are the following two logical statements equivalent?

p

∨

q

q

∨

p

Answer:

x= 32 i think

CD= 51

Step-by-step explanation:

Answer:

9x-15=7x-1. => 2x=14 x=7

CD= 7×7-1=48

here are the correct answers :)

Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

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Answer:

Q14. Percentage decrease in price of TV

   = (1100-1034)r1100×100%

   = 66r1100×100%

   = 6%

Q15. 450r9000 × 100% = 5% discount

Answer:

Q14 - 6% decrease

Q15 - 5% decrease

Step-by-step explanation:

how to get your answers;

subtract starting value with final value

divide the sum with the starting value

multiply by 100 and round if needed

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Answer: 180 cm

Step-by-step explanation: 1 decimeter = 10 centimeter

18 dm = 10 * 18 cm

18 dm = 180 cm

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Answer:

c

Step-by-step explanation:

14-11=3

12-9=3

10-7=3

8-5=3

Answer:

A

Step-by-step explanation:

It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.

Based on the information given the number of plates that the baker will need is 61 plates.

Using this formula

Number of plates=Number of cookies arranged/Each plates number of cookies

Where:

Number of cookies arranged=487

Each plates number of cookies=8

Let plug in the formula

Number of plates=487/8

Number of plates=60.9

Number of plates=61 plates (Approximately)

Inconclusion the number of plates that the baker will need is 61 plates.

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Answer:

$500

Step-by-step explanation:

John earns $100 per night.

He works 5 nights a week.

Therefore his weekly gross wage = $100 × 5

= $500

Step-by-step explanation:

f(x) = 0

-2x + 2x is always 0.

so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.

long proof :

g(x) + f(x) = 2x + -2x + 2x = 2x

Answer:

Its 34 times 87

Step-by-step explanation:

34 times 87 is 2958

Answer:

C

Step-by-step explanation:

it is none of the above, because

x - (-x) = x + x = 2x

and that is not -x

0 - (-x) = 0 + x = x

and that is not -x

Answer:

108 ÷ 9 = 12

Step-by-step explanation:

Answer:

0.083333333333333

Step-by-step explanation:

Answer:

-0.366666666667

Step-by-step explanation:

that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)

Answer:

-24/5 is the correct answer.

Steps:

1) -4 x 2/5 = -8/5

2) 1 x 1/3 = 1/3

3) -8/5 : 1/3 = -24/5

Step-by-step explanation:

Multiply

0.15

by

−

0.6

.

−

0.09

Answer:

64

Step-by-step explanation:

J : N

5 : 3

40 : x

40×3=120

120÷5=24

24+40=64

to confirm if it's correct:

5:3

5+3=8

(5/8)×64=24

(3/8)×64=40

therefore, it's 64

Answer:

B. y = 3x^2 + 3x - 3

Step-by-step explanation:

Find the function rule.

y = 3 x ^2 + 3 x − 3

\table[[x,y],[-1,-3],[0,-3],[3,33]]

The quadratic function to model the values in the table is,

⇒ y = 3x² + 3x - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values of x and y in the table are,

⇒ x = - 1, 0, 3

⇒ y = - 3, - 3, 33

Now, We know that;

The standard form of the quadratic equation is,

⇒ y = ax² + bx + c

Put x = - 1, y = - 3;

⇒ - 3 = a (- 1)² + b (- 1) + c

⇒ - 3 = a - b + c  .. (i)

Put x = 0, y = - 3;

⇒ - 3 = a (0)² + b (0) + c

⇒ - 3 = c

Put x = 3, y = 33;

⇒ 33 = a (3)² + b (3) + c

⇒ 33 = 9a + 3b - 3

⇒ 36 = 9a + 3b

⇒ 36/3 = 3a + b

⇒ 3a + b = 12  .. (ii)

From (i);

⇒ - 3 = a - b + c

⇒ - 3 = a - b - 3

⇒ a - b = 0 .. (iii)

Solve for (i) and (iii), we get;

⇒ a = 3, b = 3

Hence, The quadratic function to model the values in the table is,

⇒ y = ax² + bx + c

⇒ y = 3x² + 3x - 3

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