The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.​

Answer:

the variables mean (1)

Step-by-step explanation:

you need to divide

Answer:

equals y<5?

Step-by-step explanation:

i dont think this will help but i hope it does help

Answer:

860.3

Step-by-step explanation:

43·π·5.93≈860.28954in³

860.28954 = 860.3

The volume of the sphere is V = 859.9 inches³

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 5.9 inches

Now , Volume of a Sphere = ( 4/3 ) πr³

On simplifying , we get

V = ( 4/3 ) ( 3.14 ) ( 5.9 )³

V = 859.853 inches³

Hence , the sphere has volume of 859.9 inches³

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The expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.

Since Sophie charges you $ 25 to get a chance to shoot at a target, and if you hit the bullseye, you get a $ 100 (win $ 75), and if you miss the bullseye but are within two circles of it, you get your money back, and over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles, while all other contestants miss by further and lose; to determine what is the expected amount for you to win or lose; how much money would you expect Sophie to win or lose if 100 people played the game; and what should she charge to make this game fair, the following calculations must be performed:

Therefore, the expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.

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Answer:

15

Step-by-step explanation:

let y = f(x)

substitute x = 0

y = 4(0)^3-12(0)^2-(0)+15 = 15

Answer:

35cm squared

Step-by-step explanation:

5*5=25 for the square

10cm for the triangle (multiply base by height)

add it for 35

Answer:

-4

Step-by-step explanation:

Well to single out the “r”, you must divide both sides by -4:

-4r>16

/-4  /-4

  r<4

*remember to switch the sign because you dividing by a negative number*

Answer:

1. 15, 2. -23, 3. 220, 4. 4x-5

Step-by-step explanation:

f(x) = 4x + 3     g(x) = x - 2

1. f(g(5)): Put 5 in as x in g(x)  5 - 2 = 3.  Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15

2. g(f(-6))  4(-6) + 3 = -21. -21 - 2 = -23

3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220

4. g(f(x))  4(x-2) + 3  =  4x - 8 + 3  = 4x - 5

When a function is substituted into another function it is known as a composite function.

Given the following functions:

f(x) = 4x  + 3

g(x) = x - 2

Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]

[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]

1) Determine the value of [tex]f(g(5))[/tex]

[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]

2) For the function [tex]g(f(-6))[/tex]

[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]

3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]

[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]

4) For the function [tex]g(f(x));[/tex]

[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]

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Answer:

we have to know what your element is to help you answer this question

Answer:Multiply X + Y by -6 so you can cancel 6x by -6x. Then you get 3y+24. Then divide by 3 and get Y=8 Then solve for X. Use one of the equations and solve for X. I would do X+8=16. Then minus 8 and get 8. So X=8

Step-by-step explanation:

With that being said the coordinate pair would be (8,8)

Answer:

I think he is correct.

Step-by-step explanation:

I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.

Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.

On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.

So Tom is incorrect.

And for how many times it will take Tom for all the numbers to occur is all by luck and chance.

But each number is equally likely to come.

Answer:

A

Step-by-step explanation:

We can solve this by drawing it out

Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.

Answer:

First pic X= 13.036

Second pic x= 11.23

Step-by-step explanation:

Answer:

what is positive or negative???

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

Answer:

y = -1/3x - 5

Introduction:

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

Step-by step explanation:

Since we have found the slope, let's find the y-intercept to create our equation.

Conclusion:

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:263/8

Step-by-step explanation:

2^5=32

32= 256/8 | Convert to fraction form

256/8+7/8= 263/8 | Combine fractions

Answer:

Step-by-step explanation:

2^5=32

32= 256/8 | Convert to fraction form

256/8+7/8= 263/8 | Combine fractions

Answer:

y = 1/2x + 2.

Step-by-step explanation:

It passes through the points (-4, 0) and (2,3) so

the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.

Using the point slope form of a straight line:

y - y1 = m(x - x1):

y - 3 = 1/2(x - 2)

y = 1/2x - 1 + 3

y = 1/2x + 2 is the required equation.

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]

Hope this helps.

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

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The product of a rational number and an irrational number is an irrational

number.

The correctly completed proof is presented as follows;

To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].

The right side of the equation is irrational, because the left side of the

equation is irrational, this is a contradiction.

Therefore, the assumption is wrong and the number 4·π is irrational.

Reasons:

The proof is presented as follows;

With the assumption that 4·π is rational, we have;

[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]

Where;

b ≠ 0

Making π the subject of the above formula, by isolating, it, we have;

[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]

The right side of the equation is rational, however, the left side of the

equation π is irrational, which results in a contradiction, therefore, the

product 4·π is an irrational number.

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Answer:

Answer:

is this a questions or no?

Step-by-step explanation:

Answer:

5x-15+4=18

technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be

5(x-3)=14

87 is your answer.

Step 1: According to the DMAS rule, simplify the values that are inside the brackets.

Step 2: According to the DMAS rule, next, simplify the values that are having multiplication.

Therefore, 87 is your answer.

Hoped this helped.

Answer:

48

Step-by-step explanation:

25% is 1/4 of the bag. 12x4 = 48.

There are 48 jelly beans in the bag.

Hope that helps

Answer:

The answer is 48.

Step-by-step explanation:

25%= times by 4.

So.. 12 times 4 = 48.

Hope that helps. x

Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835

> < ≤ ≥

Answer: P≥835

Answer: Your Answer Is p≥835 i took the quiz

Step-by-step explanation:

Step-by-step explanation:

the question doesn't make sense and you need to rephrase the question.

Answer:

Step-by-step explanation:

19620 J.

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In([tex] \frac{x + y}{x + y} [/tex])

= In(1)

=0

Hence, the statement is true!!