Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.

Complete question is;

In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?

Answer:

4 students

Step-by-step explanation:

Let the number of students who used airplane be A

Let the number of students who used boat be B

Let the number of students who used train be C

Now, we are told that 17 rode plane.

Thus; A = 17

28 rode boat; B = 28

10 rode train; C = 10

12 rode airplane and boat; A ∩ B = 12

4 rode plane only; A' = 4

3 rode boat only; C' = 3

Total number of students; T = 40

Now, total number of students is represented by;

T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)

We don't have (B ∩ C) and (C ∩ A).

Now, the can be derived from the expression of C' which is;

C' = C - (B ∩ C) - (C ∩ A)

C' = C - [(B ∩ C) + (C ∩ A)]

We are given C' = 3 and C = 10

Thus;

3 = 10 - [(B ∩ C) + (C ∩ A)]

10 - 3 = [(B ∩ C) + (C ∩ A)]

7 = [(B ∩ C) + (C ∩ A)]

Rearranging the total number of students equation, we now have;

T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)

Where;

(A ∩ B ∩ C) is the number of students that used all three modes of transportation.

Thus, plugging in the relevant values;

40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)

40 = 36 + (A ∩ B ∩ C)

(A ∩ B ∩ C) = 40 - 36

(A ∩ B ∩ C) = 4

Answer:

I'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my head  78tt566786876

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just took this test

Answer: Maybe it is 2,4

Step-by-step explanation:

A fact family is a group of math facts using the same numbers. In the case of addition and subtraction, you use three numbers and get four facts.

For example, you can form a fact family using the three numbers 3, 10, and 13: 10 + 3 = 13, 3 + 10 = 13, 13 − 10 = 3, and 13 − 3 = 10.

Addition facts − Here the sum of two of the three given numbers is the remaining third number. This sum is expressed in two possible orders. Thus, there are two addition facts for any three given numbers

For 3, 10 and 13, the two addition facts are:

3 + 10 = 13;

10 + 3 = 13

Subtraction facts − Here the difference of two of the three given numbers is the remaining third number. There are two such differences. Thus, there are two subtraction facts for any three given numbers.

For 3, 10 and 13, the two subtraction facts are:

13 − 10 = 3;

13 − 3 = 10

We use fact families to reinforce the connection between addition and subtraction, and to help students learn and memorize the basic addition & subtraction facts.

Problem 1:

Make four related number sentences using each set of 3 numbers.

10, 7, 3:

There should be two additions and two subtractions.

Solution

10, 7, 3:

Step 1:

The addition facts using above three numbers are:

7 + 3 = 10;

3 + 7 = 10;

Step 2:

The subtraction facts using above three numbers are:

10 – 7 = 3;

10 – 3 = 7

Problem 2:

Make four related number sentences using each set of 3 numbers.

13, 8, 5

There should be two additions and two subtractions.

Solution

13, 8, 5

Step 1:

The addition facts using above three numbers are:

5 + 8 = 13;

8 + 5 = 13;

Step 2:

The subtraction facts using above three numbers are:

13 – 5 = 8;

13 − 8 = 5

Answer:

4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.

Step-by-step explanation:

x = 20 inch, the length of the first piece

What is mathematical expression?

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

given,

Total length = 40 inch

let first piece be = x inch

second piece = 4 times of first piece = 4x inch

third piece = 5 times of first piece = 5x inch

So,

x + 4x + 5x = 200

10x = 200

x = 200/10

x = 20

Therefore, the length of the first piece is 20 inch

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Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question

Explanation:

Thus we conclude that cricle is totally different from ellipse

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Answer:

1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165.  So that's what the premium would have to be in order to get a profit of 0.

2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.

3. The expected profit on 375 policies would be 375 * 185 = $69375

Step-by-step explanation:

Answer:

[tex](-5,\frac{1}{2} )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

R(-2, 3)

S(-8, -2)

[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]

[tex](\frac{-10}{2},\frac{1}{2} )[/tex]

[tex](-5,\frac{1}{2} )[/tex]

Answer:

76.95

Step-by-step explanation:

9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95

Answer:

[tex]\huge\boxed{y+3=-(x+2)}\\or\\\boxed{y-3=-(x+8)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coordinates of the given point:

(-2, -3); (-8, 3)

[tex]m=\dfrac{3-(-3)}{-8-(-2)}=\dfrac{3+3}{-8+2}=\dfrac{6}{-6}=-1\\\\\text{for}\ (-2;\ -3)\\\\y-(-3)=-1(x-(-2))\\\\y+3=-(x+2)\\\\\text{for}\ (-8;\ 3)\\\\y-3=-1(x-(-8)\\\\y-3=-(x+8)[/tex]

Answer:

The answer is 2508

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The standard normal distribution is represented by P(-zc < z < zc) = c

From this, you see that -zc is less than the variable of interest z and z is less than zc.

The equation simply means that the probability that -zc is less than z and z is less than zc, is c.

The value zc is NOT a value from the above distribution. All values in the distribution are of the variable z. For example, z might be equal to 1, z might be equal to 6, but the variable of interest in the distribution is z, not zc.

Answer:

Ava

Step-by-step explanation:

because we multiply by 3 miles, 50 minutes, 0.83

and you get 124.5

its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25

sorry if wrong! hope this helps!

Answer:

Answer 30^{2}

Step-by-step explanation:

24^{2} + 18^ {2} = c^{2}

576 + 324 = c^{2}

\sqrt{900}  c^{2} = 30

hope this helps!

Answer:

x=12

Step-by-step explanation:

multiply 2 from both sides to isolate x

then u should end up with 1x=12

Answer:

correct answer is D

Step-by-step explanation:

just did it on apex

The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).

A polynomial function is a function in an equation that contains only   positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.

It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .

When all the graphs are plotted for all the equations given in the options.

It can be seen that the equation in The Option D satisfies the image.

f(x) = (x+4)(x-2)²(x+3)

The image of the graph for the equation is attached.

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Answer:

37.50/5 = $7.50/week

so the difference is 8.25-7.50 = $0.75/week

Step-by-step explanation:

Answer:

B:y=-40x+160. hello, just typing to take up space

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

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Answer:

2(6-4.05+8)

Step-by-step explanation:

2(6-48+43.05+8)

Answer:

about 130 marbles

Step-by-step explanation:

round 47 to 50

round 76 to 80

you have about 130 marbles

Answer:

About 100.

Step-by-step explanation:

47+76=123

123 is closer to 100 than to 200.

Answer:

14

Step-by-step explanation:

because they are just reflected  that's why 12 and 8 are flipped and have a great day

Answer:

1.5 > 1.25

Step-by-step explanation:

1.5 is smaller than 1.25

Answer:

433.68

Step-by-step explanation:

Answer:

433.68

Good Luck!!!

Answer:

Turn it by 90 degrees

Step-by-step explanation:

Question is too vague sorry if this doesn't help

Answer:

fernanda i have no idea how to do this

Step-by-step explanation:

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

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Answer:

Yes

Step-by-step explanation:

The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.

Hope this helps. Please mark brainliest.

Answer:

1. C points radially outward from origin

2. A. Points radially outward from z origin

3. D. Radially inwards toward origin

4. B. Inwards towards the z axis

Step-by-step explanation:

1.

X²+y²+z² = f(x,y,z)

Vector P<x,y,z>

2<x,y,z> = 2p

The answer is c points radially outward from origin

2.

X²+y² = f(x,y)

<2x,2y,0>

Points radially outward from z axis

3.

D. Points radially inwards toward origin

4.

B. Points radially inwards toward the z axis.

Please check attachment for solutions to answers 3 and 4

Answer:

2/9

Step-by-step explanation:

4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9

Hope that helps and have a great day!

Answer:

atleast 1

Step-by-step explanation: