The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? ANSWER NOW PLEASE!!!!

Answer:6

Step-by-step explanation:

The number of hours when the amount Andrew and dave pay for the rentals be equal will be 6 hours.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

From the equation, the two points of Dave's line will be (0, 6) and (2, 9). Then the equation is given as,

(y - 6)[(9 - 6) / (2 - 0)](x - 0)

y = 1.5x + 6

From the equation, the two points of Andrew's line will be (0, 3) and (1, 5). Then the equation is given as,

(y - 3) = [(5 - 3) / (1 - 0)](x - 0)

y = 2x + 3

The number of hours when the amount Andrew and dave pay for the rentals be equal will be calculated as,

2x + 3 = 1.5x + 6

0.5x = 3

x = 6 hours

The number of hours when the sum Andrew and dave pay for the rentals be equivalent will be 6 hours.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

a.we get, `A = √(2α³/π)`.

b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

c.we can say that the variational principle is valid in this case.

(a) Let's find the normalization constant A.

We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization.  `∫⟨ψ|ψ⟩dx= 1`

Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`

Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`

Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`

Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,

`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`

We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.

Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`

Therefore, we get, `A = √(2α³/π)`.

Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.  

(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.

The first term represents the kinetic energy of the particle and the second term represents the potential energy.

We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`

The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.

Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.

Therefore, we can say that the variational principle is valid in this case.

To know more about time-independent Schrödinger equation,visit:

https://brainly.com/question/31642338

#SPJ11

Answer:

28 tickets

Step-by-step explanation:

252/9=28

The value of X and y when substitution method is used to solve the given quadratic equation would be = 8 and 2 respectively.

The equations that are given is listed below:

X - 3y = 2 ---> equation 1

2x - 6y = 6 ----> equation 2

In equation 1, make X the subject of formula;

X = 2 + 3y

Substitute X = 2 + 3y into equation 2,

2( 2 + 3y) - 6y = 6

4 + 6y - 6y = 6

y = 6-4

y = 2

Substitute y = 2 into equation 1;

x - 3(2) = 2

X = 2 + 6

X= 8

Learn more about substitution equation here:

https://brainly.com/question/30522132

#SPJ1.

Answer:

109 is 63% of 173.02(Rough estimate)

Step-by-step explanation:

X = Y/P%

X = 109/63% or 109/0.63

X = 173.02

Hope this helps!

Answer:

109 is 63% of 173.02

Step-by-step explanation:

Formula = Number x 100/Percent = 109 x 100/63 = 173.02

Answer: answer just did on ege

Step-by-step explanation:

Answer:

b. 4

Explanation:

Given the equation

The x-intercept of the line is the value of x when y=0.

When y=0

The x-intercept of the equation is 4.

Answer:

Yes

Step-by-step explanation:

y = 110 + 32x

Let x = each value in the table and calculate the corresponding value of y.

You get the following.

x = 0; y = 110

x = 2; y = 174

x = 4; y = 238

x = 6; y = 302

x = 8l y = 366

Since every value from evaluating the function gives the same value as the table, then the answer is yes, the table and the equation represent the same function.

The value of the area of the circle rounded to the nearest whole number is 154 \(cm^2\).

What does the area of circle mean?

A circle's area is the area that it takes up in a two-dimensional plane. The formula for the area of the circle is \(\pi r^2\)

Circumference of the circle=2*pi*r

The radius of the circle=r.

It is given that Circumference-radius=37 cm.

It is also given that pi=3.14, by substituting this we will get:

6.28r-r=37cm

r=37/5.28cm

r=7.0075cm

The value of the radius of the circle rounded to the nearest whole number is 7cm.

The area of the circle= \(pi*r^2\)

Area of the circle = 3.14*7*7 \(cm^2\).

Area = 154 \(cm^2\).

To learn more about the area of the circle refer to the link below:

https://brainly.com/question/14068861

#SPJ4

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

2

Step-by-step explanation:

\(\frac{5}{9}\) ÷ \(\frac{5}{18}\)

• leave first fraction , change ÷ to × , turn second fraction upside down

= \(\frac{5}{9}\) × \(\frac{18}{5}\) ( cancel the 5's and 9 and 18 by 9 )

= \(\frac{1}{1}\) × \(\frac{2}{1}\)

= 1 × 2

= 2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A, B, C, and F is your possible answers

The quotient of means to divide so  it could be any symbol and they could switch places when dividing.

Answer:

side IG < side HI < side GH

(greatest to least)

Step-by-step explanation:

angle with respect to appropriate side

angle GHI < angle HGI < angle HIG

Answer:

-2.6

Step-by-step explanation:

3x+2x+9=10-14

5x+9=10-14

5x+9=-4

5x=-4-9

5x=-13

x=-13/5

x=-2.6

Answer:

-1/6 + 8

Step-by-step explanation:

(1/2x + 2) - (2/3x - 6)

apply distributive property

1/2x + 2 - 2/3x + 6

add like terms. add 1/2x and -2/3x together and then add 2 and 6 together

3/6 + 2 - 4/6 + 6

-1/6 + 8

-1/6 + 8 is your answer. i hope this helps, let me know if i got something wrong :)

Answer: 5 km

Step-by-step explanation:

This situation is a Pythagorean Theorem  problem so we will use the Pythagorean  Theorem rule that A^2 plus B^2 is equal C^2.

so if they hiked 3 km north, three in this case will be the height of the right triangle or in other words, one of the legs of the right triangle.

And if they  hiked  4 km east then 4 in this case will also be one of the legs.So is asking what is the hypotenuse.

So in this case square the two legs and add them up to find the  square root.

3^2 + 4^2 =C^2

9 + 16 = c^2

25 = c^2       Find the square root of 25

c=  5  

So in this case they  hiked 5 km straight home.

The hike distance will be 5 kilometers.

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

This situation is a Pythagorean Theorem problem so we will use the Pythagorean  Theorem rule that A² plus B² is equal to C².

If they hiked 3 km north, three, in this case, will be the height of the right triangle or in other words, one of the legs of the right triangle.

And if they hiked  4 km east then 4, in this case, will also be one of the legs. So is asking what is the hypotenuse.

So in this case square the two legs and add them up to find the square root.

3² + 4² =C²

9 + 16 = c²

25 = c²    

c =  5

Therefore, the hike distance will be 5 kilometers.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

I'm on my road to genius rank

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

To know more about deductive reasoning, click here: brainly.com/question/2437643

#SPJ11

The correct answer is D) Surface area. The surface area of a figure is a measure of the total area covered by its outer surfaces. It is typically expressed in square units.

When dealing with three-dimensional figures, the surface area includes the sum of the areas of all its faces, while in the case of two-dimensional figures, it refers to the perimeter or the sum of the lengths of all sides.

The surface area is an important measurement as it helps us understand the amount of material required to cover the outer portion of a figure, such as when painting a wall or determining the amount of wrapping paper needed for a gift.

It is distinct from the volume, which measures the space occupied by the figure's interior, and from the curved surface area, which specifically refers to the area of curved surfaces.

To know more about surface area, refer here:

https://brainly.com/question/29298005#

#SPJ11

Answer:

-35

Step-by-step explanation:

\(-5 = \frac{1}{7}a\\-35 = a\)

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

6.5 = -3 + n

Add 3 to both sides:

9.5 = n

Answer: n = 9.5

Answer:

why not ...............

Answer:

The answer should be A

Step-by-step explanation:

For a proportional relationship, the line needs to be straight and it needs to go through the origin. Hope I helped :)

The greatest possible value of the smaller integer is 35, when the two integers are in a ratio of 5:8 and their sum is less than 100.

Given that two integers are in a ratio of 5:8 and their sum is less than 100. We are to determine the greatest possible value of the smaller integer.

Let the common factor be x, therefore the 1st number = 5x and the 2nd number = 8x.The ratio of the two numbers can be expressed as 5:8.

According to this, we can write that; 5x + 8x < 100

Combining like terms, we have; 13x < 100

Dividing both sides by 13,

we get; x < 100/13

Therefore, the greatest possible value of x is 7. Therefore the greatest possible value of the smaller integer is 35.

The conclusion is, the greatest possible value of the smaller integer is 35, when the two integers are in a ratio of 5:8 and their sum is less than 100.

To know more about integer visit:

brainly.com/question/15276410

#SPJ11

Answer:

X=7    Y=2

I will lead you through it and show you how you can find x through eliminating y, and finding y through eliminating x! So, both ways! :)

Step-by-step explanation:

When looking to use the elimination method, either all x OR y  coefficients must be equal before finding one or another. That might sound a little confusing so let me explain!

Finding x by eliminating y: (they already set it up for us, this way!)

6x+6y=54              6y and -6y will cancel each other out!

2x - 6y= 2

6x=54                   Add both lines!

2x=2

8x=56                   Now, divide 8 on both sides to find x!

x=7                       The product is x equals 7! Plug into a line to find y!

6(7)+6y=54          

42+6y=54          Subtract both sides by 42

6y=12                  Divide both sides by 6

y=2

So, X=7 and Y=2 ! To check that this is true, plug both variables into one line!

2(7)-6(2)=2

14-12=2

2=2                2 equals 2, so this is true! Lets check the other line to make

                      sure!

6(7)+6(2)=54

42+12=54

54=54             Yes, this is also true! That means we found the true value of the variables. :)

Finding y by eliminating x: Now, how do we find X and Y using the elimination method if the terms are not equal? We will continue to use this problem since it meets the standards of unequal terms! However, we will find y by eliminating x!

We must get the x terms to be equal to they can cancel each other out! So, we will multiply a line by a certain variable until it matches the x term on the other line. We will multiply line 2 until it matches line 1's x term, but make sure the signs (positive/negative) are opposite so they cancel out! In other problems, one line's term may not be able to be multiplied until it reaches its term since it is not a factor of it! So, both lines would be multiplied b a specific number until they have a common multiple! Confusing? Just focus on the underlined portion of this paragraph as that is what you will need for this question. Lets work hard now! :)

6x+6y=54    Multiply line 2 by -3 so the x term will be cancel out line 1's x!

2x - 6y= 2

6x+6y=54

(2x - 6y= 2) -3           Yes, all of it!

6x+6y=54

-6x+18y=-6              Add both lines

24y=48                 Divide 24 by both sides!

y=2                       y is equivalent to 2! Plug value into a line!

6x+6(2)=54

6x+12=54        Subtract 12 on both sides!

6x=42       Divide 6 on both sides.

x=7           X is equal to 7!

So, X=7 and Y=2 , just like we found and even checked before! I hope this helped. Elimination method is my favorite method and overall favorite lesson in Algebra, for me, since it is pretty easy once you get a hang of it! Goodluck all! :)

Answer:

3/4

Step-by-step explanation:

good luck I hope you get it correct

Answer:

6.48%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: