A school is arranging a field trip to the zoo. The school spends 698.24 dollars on passes for 29 students and 3 teachers. The school also spends 255.49 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

                                                      = x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

                 = x² + x²

                 = 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)

[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]

[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]

Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]

                      [tex]=\sqrt{2}\frac{dx}{dt}[/tex]

Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),

[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]

[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]

Since, [tex]\frac{dx}{dt}\neq 0[/tex]

[tex](2x - 4\sqrt{2})=0[/tex]

x = 2√2

Therefore, length of a side of the square is 2√2.

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - [tex]\sqrt{x+11}[/tex] - 3 ← substitute x = - 7

f(- 7) = - [tex]\sqrt{-7+11}[/tex] - 3

       = - [tex]\sqrt{4}[/tex] - 3

       = - 2 - 3

       = - 5 ← output is real

[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]

[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]

[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50 + 17}{8} [/tex]

[tex] = \frac{ - 33}{8} [/tex]

[tex] = - 4 \frac{1}{8} [/tex]

Answer:

4 dozen is equal to 48

divide that by 4 which would equal 12 or one dozen

Answer:

12

Step-by-step explanation:

1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.

Simply: 1/4 of 4 dozen is 1 dozen

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

The probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

The likelihood or chance of an event occurring is measured by probability. Usually, it is stated as a number between 0 and 1, where 0 denotes an event's impossibility and 1 denotes its certainty.

There are 10 balls in total, and 2 of them are basketballs. So the number of balls that are not basketballs is 10 - 2 = 8.

Of these 8 balls, we know that 1 is a softball. So the number of balls that are either a softball or not a basketball is 1 + 8 = 9.

Therefore, the probability of grabbing a ball that is either a softball or not a basketball is:

P(softball or not a basketball) = 9/10

So the probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

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Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     [tex]\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1[/tex]

               ⇒     [tex]\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1[/tex]

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Answer:

decimal: 0.32 percent: 32%

Step-by-step explanation:

Answer:ok

Step-by-step explanation:

n   jjbjnujg6t6ugyg  ffvjnjg

Step-by-step explanation

knjjbvfghjk,mn cxsertyuj

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

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Answer:

f(x) = x² + 5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

y - x² = 5

Step 2: Rewrite

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

The first term in the sequence to exceed 120 will be 144.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

1, 1, 2, 3, 5, 8.

The sequence is given as,

aₙ = aₙ₋₁ + aₙ₋₂

The first and second terms are given as,

a₁ = 1 and a₂ = 1

Then the 7th term is given as,

a₇ = a₆ + a₅

a₇ = 5 + 8

a₇ = 13

Then the 8th term is given as,

a₈ = a₇ + a₆

a₈ = 13 + 8

a₈ = 21

Then the 12th term is given as,

a₁₂ = a₁₁ + a₁₀

a₁₂ = 89  + 55

a₁₂ = 144

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.

The first term in the sequence to exceed 120 will be 144.

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Answer:

361/1000

Hope I helped

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

   10x =      3.6161........   {Now subtract}

 990x=  358

        x = 358/990

x = 179/495

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

Plug the formula into Desmos and even just visually

C.  " y = -6x - 8

is the answer

The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the function is,f(x) = 1 – x²

We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.

Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.

Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.

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Answer:

I THINK Vertical ( I'm not positive) Goodluck

Answer:

B) Decreasing

It getting smaller every time

Answer:

Can someone help, please?

-1/2(7z+4)+1/5(5z-15)

Answer:

21

Step-by-step explanation:

bc i said

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

A population is the group of people from which a statistical sample is taken in statistics. Therefore, a population is any collection of people who have something in common. A statistically significant portion of a population, rather than the full population, may also be referred to as a sample.

When surveying a big number of people, it is just impracticable to examine everyone who fits the description you are looking at using a population parameter. It is often easier to study a smaller sample of participants, but by applying inferential statistics, it is possible to get a good approximation of the population parameter.

thus, statistical population is the distribution of all of the statistics calculated from all possible samples of the same size.

Therefore, The statistical population, which is calculated from samples of the same size randomly selected from the same population, is the distribution of all potential values that can be assumed by a statistic.

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Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

Answer:

Step-by-step explanation:

Answer:

Look at step by step explanation

Step-by-step explanation:

If this is edgenunity here are your 3 answers

slope: 1/3

The y- intercept 3

Linear function f(x) = (1/3)x+3

Answer:yo it’s me leo remember me my acount got deleted

Step-by-step explanation:

Answer:

1271.7in

Step-by-step explanation:

A complete rotation is = circumference of the wheel.

So calculate the circumference which is pi times diameter.

27 times pi (which is 3.14) = 84.78in   one rotation

so if you make 15 rotations, you are multiplying it by 15

15 x 84.78 = 1271.7in

Answer:

(5-2a+6b)/2

Step-by-step explanation:

According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2

Answer:

i need a picture of the graphs

Step-by-step explanation:

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) [tex]x = 6.2\times 12[/tex] Given.

2) [tex]x = \left(6+0.2\right)\times 12[/tex] Definition of addition.

3) [tex]x = 6\times 12 + 0.2\times 12[/tex] Distributive property.

4) [tex]x = 72 + \frac{2}{10}\times 12[/tex] Definitions of multiplication and decimal number.

5) [tex]x = 72 +[2\cdot (10)^{-1}]\cdot 12[/tex] Definition of division/Associative property.

6) [tex]x = 72 + [2\cdot 12]\cdot (10)^{-1}[/tex] Associative property.

7) [tex]x = 72 + 24\cdot 10^{-1}[/tex] Definition of multiplication.

8) [tex]x = 72 + \frac{24}{10}[/tex] Definition of divsion.

9) [tex]x = 72 + 2.4[/tex] Defintion of decimal number.

10) [tex]x = 74.4[/tex] Definition of addition/Result

Natalia's work is wrong.

Answer:

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step-by-step explanation:

Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]

[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]

Step 2: Find the Least Common Multiplier of  [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]

= [tex](x + 4) (x + 2) (x - 2)[/tex]

Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)

= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]

Step 3b: The denominators are equal, so combine the fractions.

[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Have a great day!

Answer:

12y+9

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.

  Re(z) = -19 . . . . the part that does not have a factor of i

  Im(z) = -24 . . . . the coefficient of i