Please help I’m on the quizzz

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Answer:

2+(-35)

Step-by-step explanation:

please make me brainlist i would love the support

Answer:

3/4 and -4/3, -2/5 and 5/2

Step-by-step explanation:

Slopes are perpendicular if the slopes are the negative reciprocal of the other

Answer: D

Step-by-step explanation:

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

\(r \to\) rational number

\(s \to\) irrational number

\(\frac{r}{s} \to\) irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

\(r \to\) rational number

\(s \to\) irrational number

\(\frac{r}{s} \to\) rational number

Solving (b): When r/s is irrational is false

Given that:

\(\frac{r}{s} \to\) irrational number

Set r to 0

So:

\(\frac{r}{s} = \frac{0}{s}\)

\(\frac{r}{s} = 0\) -- rational

Hence, the statement is false when r is 0

It takes 2.45 seconds for the temperature of the glass of hot cider to be 94°C

An equation is an expression that shows the relationship between two or more variables and numbers.

The temperature of the glass cider (C) at time t is given by:

\(C(t)=25+80(1.062)^t\\\\When\ C=94^oC,hence:\\\\94=25+80(1.062)^{-t}\\\\t=2.45\ s\)

It takes 2.45 seconds for the temperature of the glass of hot cider to be 94°C

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Answer: b (-3,-2) c (4,-4) BRAINIEST!!

Step-by-step explanation:

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

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Answer:

105

the whole triangle adds up to 180

72+3=75

180-75=105

The base is 16 while the amount is 15 giving a percentage of 93.75%

Percentage is a number or ratio expressed in a fraction of 100. It is represented in percentage sign.

Let x represent the base and y represent the amount.

The base is one greater than the amount. Hence:

The percentage is 93.75%, hence:

y/x = 93.75%

y/x = 0.9375

y = 0.9375x

0.9375x - y = 0  (2)

From equation 1 and 2:

x = 16, y = 15

The base is 16 while the amount is 15.

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Answer:

x = -6

Step-by-step explanation:

x/15 + 3/15 = -1/5

x/15 + 1/5 = -1/5

x/15 = -2/5

x = -6

Let's check

-6/15 + 3/15 = -1/5

-3/15 = -1/5

-1/5 = -1/5

So, x = -6 is the correct answer.

In conclusion, the formal solution to the initial value problem is given by u(x,t) = ∑[cn(t) * Φn(x)], where Φn(x) are the eigenfunctions and cn(t) are the coefficients obtained by solving the ordinary differential equations resulting from the initial conditions.

To find a formal solution to the initial value problem, we can express the solution in terms of the eigenfunctions Φn(x) and eigenvalues λn of the associated Sturm-Liouville problem in the x variable. Let's denote the formal solution as u(x,t).

The formal solution can be written as:

u(x,t) = ∑[cn(t) * Φn(x)],

where cn(t) are the coefficients that depend on time t and need to be determined.

To determine the coefficients cn(t), we substitute the formal solution into the initial value problem. This leads to a set of ordinary differential equations for the coefficients, which can be solved using standard techniques.

The detailed calculation is beyond the scope of this platform, but the general procedure involves applying the initial conditions u(x,0) = f(x) and solving for the coefficients cn(t).

After determining the coefficients cn(t), the formal solution becomes:

u(x,t) = ∑[cn(t) * Φn(x)],

where Φn(x) are the eigenfunctions and cn(t) are the coefficients obtained from the solution of the ordinary differential equations.

In conclusion, the formal solution to the initial value problem is given by u(x,t) = ∑[cn(t) * Φn(x)], where Φn(x) are the eigenfunctions and cn(t) are the coefficients obtained by solving the ordinary differential equations resulting from the initial conditions.

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Answer:

  see attached

Step-by-step explanation:

You want the expressions in the correct sequence to prove ...

  z + z + z + z = 4z

The multiplicative identity property tells you z × 1 = z. Anything multiplied by 1 is unchanged. This lets us replace z in the original expression by z·1 in every case.

The distributive property tells you that multiplication distributes over addition. This means ...

  z ·1 + z · 1 + z · 1 + z · 1 = z · (1 + 1 + 1 + 1)

The properties of addition and the set of integers tell us that ...

  1 + 1 + 1 + 1 = 4

so we can replace the indicated sum by its value:

  z · (1 + 1 + 1 + 1) = z · 4

The commutative property of multiplication says a product is the same if the operands are in a different order:

  z · 4 = 4·z = 4z

This is the last step in showing z + z + z + z = 4z.

The correct order of tiles is shown in the attachment.

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wait do you want it step by step or just the answer?

the answer is 400

To find the largest area you can enclose with a single-strand electric fence and m units of wire at your disposal, you need to optimize the dimensions of the rectangular plot.

Let's denote the length of the rectangular plot as L and the width as W. The perimeter of the plot can be calculated as P = L + 2W.

Since one side of the plot is already bounded by the river, we have L + W = m. Rearranging this equation, we get L = m - W.

To find the largest area, we need to maximize the function A = L * W. Substituting the value of L, we have A = (m - W) * W.

Expanding the equation, we have A = mW - W^2.

To find the maximum value of A, we take the derivative of A with respect to W and set it equal to zero: dA/dW = 0.

Differentiating, we get m - 2W = 0. Solving for W, we have W = m/2.

Substituting this value back into the equation for L, we have L = m/2.

Therefore, the dimensions of the largest area are L = m/2 and W = m/2.

To find the area, we substitute these values into the equation for A: A = (m/2) * (m/2) = m^2/4.

In conclusion, the largest area that can be enclosed is m^2/4, with dimensions L = m/2 and W = m/2.

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Simply substitute the value of 3 given. In other words,

f(3) is the function of

f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplify

f(3)=5

Answer:

\(-5\pi^2 (2)^{-5\pi^2-1}\)

Step-by-step explanation:

\(u(x)=x^{-5\pi^2} \\ \\ u'(x)=-5\pi^2 x^{-5\pi^2 -1} \\ \\ u'(2)=-5\pi^2 (2)^{-5\pi^2-1}\)

Answer:

All are acute

Step-by-step explanation:

Acute angles are any angles that are less than 90°.

Right angles are angles that measure 90°.

Obtuse angles are angles that are more than 90°.

As we can see, 24, 29, and 32 are all less than 90°, making them all acute.

Best of Luck!

Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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I can't see pictures, but i'm gunna try to help.

To find the slope of a line, you have to calculate the rise and run. The rise is the number of units high one point is from another. The run is the number of units left or right one point is from the other. For example, I'll find the slope of (2,5) and (3,9). The formula is y2-y1 over x2-x1. So we have to do 9-5 over 3-2, which is 4 over 1, or 4/1. So the slope is 4.

I have no idea what the actual situation is, so please type 2 points in the comment so I can help.

---

sorry if I couldn't help

Answer:

assume both unknown angles as x so x+x=2x

then 180° (2x+90)=90/2

angle x =45°

another angle = 180-[90°+45°]

. 180°-135°

=45°

so angle x =45°

another angle = 45°

It will cost $0.43 per ounce

John buys 25 ounces of liquid detergent for $10.75

The cost per ounce can be calculated as follows

25 ounce= $10.75

1 ounce = x

cross multiply both sides

25x = 10.75

x= 10.75/25

x= 0.43

Hence one ounce cost $0.43

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)

2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?

Step-by-step explanation:

nm the top

There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.

2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.

1) I don't know how to cancer this let me resheerch and ill get back to you

P>S let this be help only if you need to annotate or reword thx

Step-by-step explanation:

the remaining gas in the tank after driving for 2 hours = 9 - (2×2) = 9-4 = 5 gallons

after t hours = (9 - 2t) gallons

Answer:

261111111/100000

Step-by-step explanation:

2.4(1) + 3(2.25) = 9.15

20 - 9.15 = 10.85

Answer:

65%

Step-by-step explanation:

Answer:

7.12 percent is .0712

and for .019 it's 1.9 percent