Miguel is designing shipping boxes that are rectangular prisms. One shape of the box with height h in feet, has a volume defined by the function V(h)=h(h-10(h-8). What is the height that would produce the maximum volume for the domain 0

Answer:

48 muffins were sold

Step-by-step explanation:

Represent the number of muffins by m and the number of cookies by c.

Then the revenue from the sales of muffins was ($2/muffin)m and that from the sales of cookies ($1/cookie)c.  Remembering that c = m + 2, we obtain the following equation:

($2/muffin)m +  ($1/cookie)(m + 2) = $146, so that:

2m + 1m + 2 = 146, or 3m + 2 = 146, or 3m = 144.

Dividing both sides of this result by 3, we get m = 48

Thus, 48 muffins were sold.

Answer:

XE[-4/5,4/5]

Step-by-step explanation:

I can't explain it sorry

Answer:

-4/5 ≤ x ≤ 4/5

Step-by-step explanation:

| 5/2 x | + 2 ≤ 4

| 5/2 x | ≤ 2

| x |  ≤ 4/5

x ≤ 4/5

x ≥ - 4/5

-4/5 ≤ x ≤ 4/5

Answer:

You're right its 10

Computer screen looking kinda dirty ngl

Step-by-step explanation:

Answer:

A. because -1 is indeed 3 units to the left, or -3/+(-3) to the right.

P.s.

Please give me brainliest for my next rank.

The average value of the two year old car after deductions is 30525, which is considered to be higher than average.

What is Mileage deduction?

Mileage deductions are used to account for the wear and tear on a vehicle, which increases with the miles driven.

The calculation to get the average value is as follows:

Original value: 31175

Average value: 30850

Aluminum wheels: 300

Recovery system: 75

Mileage deduction: 700

Average value after deductions:

(30850 + 300 + 75 - 700) = 30525

The reason why the mileage deduction is 700 is because the advertised mileage of 47005 falls within the range of 46000 - 51000 miles, which is considered to be higher than average.

A higher mileage vehicle will typically have lower value than one with fewer miles, so the 700 deduction is used to account for the difference between this car and an average one with similar age and features.

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\(x^2 -4x +1 = 0\)

According to the Zero-Product Property, if you have the Quadratic Equation, \((x +a)(x +b) =0\), it's roots will be \(x = -h\) and \(x = -k\).

If we want our roots to be \(2 -\sqrt 3\) and \(\frac{1}{2 -\sqrt 3}\\\), then \(-h = 2 -\sqrt 3\) and \(-k = \frac{1}{2 -\sqrt 3}\\\).

Solving for \(h\):

\(-h = 2 -\sqrt 3 \\ -h \cdot -1 = (2 -\sqrt 3) \cdot -1 \\ h = \sqrt 3 -2\)

Solving for \(k\):

\(-k = \frac{1}{2 -\sqrt 3} \\ -k \cdot -1 = \frac{1}{2 -\sqrt 3} \cdot -1 \\ k = \frac{1}{\sqrt 3 -2}\)

Writing the equation:

\((x +h)(x +k) = 0 \\ (x +(\sqrt 3 -2))(x +\frac{1}{\sqrt 3 -2}) = 0\)

Unsurprisingly, the answer shouldn't be that because it shouldn't be that easy. By that, we have to apply the distributive property.

\((x +(\sqrt 3 -2))(x +\frac{1}{\sqrt 3 -2}) = 0 \\ x(x +(\sqrt 3 -2)) +\frac{1}{\sqrt 3 -2}(x +(\sqrt 3 -2)) = 0 \\ x^2 +(\sqrt 3 -2)x +\frac{1}{\sqrt 3 -2}x +\frac{1}{\sqrt 3 -2}(\sqrt 3 -2) = 0 \\ x^2 +((\sqrt 3 -2) +\frac{1}{\sqrt 3 -2})x +1 = 0 \\ x^2 + (\frac{(\sqrt 3 -2)^2}{\sqrt 3 -2} +\frac{1}{\sqrt 3 -2})x +1 = 0 \\ x^2 +\frac{3 -4\sqrt 3 +4 +1}{\sqrt 3 -2}x +1 = 0 \\ x^2 +\frac{8 -4\sqrt 3}{\sqrt 3 -2}x +1 = 0 \\ x^2 +\frac{-4(\sqrt 3 -2)}{\sqrt 3 -2}x +1 = 0 \\ x^2 -4x +1 = 0\)

The quadratic equation will be y = (x - 2 - √3)[x - 1/(2-√3)].

Let b, c, d, and e be the zeroes of the polynomial. And 'a' be the leading coefficient.

Then the polynomial is given as,

⇒ a(x - b)(x - c)(x - d)(x - e)

The degree of the polynomial will be greater than or equal to the number of zeroes.

Write a quadratic equation if its roots are: 2-√3, and 1/(2-√3) assuming that the leading coefficient a = 1.

Then the equation of the quadratic equation will be

y = 1(x - 2 - √3)[x - 1/(2-√3)]

y = (x - 2 - √3)[x - 1/(2-√3)]

The quadratic equation will be y = (x - 2 - √3)[x - 1/(2-√3)].

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Answer:

Step-by-step explanation:

€150 ($1.3687 / €1) = $205.30

$250 − $205.30 = $44.70

Answer:

A: 44.70 US dollars

Step-by-step explanation:

We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

Answer:

3.5

Step-by-step explanation:

3.5

because it is

okay

Answer: The equation that represents the road is y= - 1/3x +1/3

Step-by-step explanation:

The perpendicular equation that represents the road that passes through the point is \(\mathbf{y = -\frac 13x + \frac 13 }\)

The points of the red line (see attachment) are given as:

\(\mathbf{(x,y) = (0,2), (2,8)}\)

Start by calculating the slope (m) of the line using:

\(\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}\)

So, we have:

\(\mathbf{m = \frac{8 - 2}{2 -0}}\)

\(\mathbf{m = \frac{6}{2}}\)

\(\mathbf{m = 3}\)

Next, calculate the slope (m2) of the perpendicular line using:

\(\mathbf{m_2 = -\frac 1m}\)

So, we have:

\(\mathbf{m_2 = -\frac 13}\)

The perpendicular line passes through point (1,0).

So, the line equation is calculated using:

\(\mathbf{y = m_2(x - x_1) + y_1}\)

This gives

\(\mathbf{y = -\frac 13(x - 1) + 0}\)

\(\mathbf{y = -\frac 13(x - 1) }\)

Open bracket

\(\mathbf{y = -\frac 13x + \frac 13 }\)

Hence, the line equation is \(\mathbf{y = -\frac 13x + \frac 13 }\)

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it's a test sorry I can't help

u can't calculate

Answer:

12,000

Step-by-step explanation:

6 * 2 = 12

Add the zeros from the 2,000

12,000

Answer:

\(4 \times 39.37 = 157.48\)

Answer:

a. \(3^{7}\)

b. \(2^{-8}\)

c. \(3^{-8}\)

Step-by-step explanation:

It's pretty simple. Just keep dividing till you get your answer (which is above)

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

49 degrees

Step-by-step explanation: You are basically counting from 0 to 49

Answer:

-45

Step-by-step explanation:

Get a common denominator

4y/9-6y/9=10

-2y/9=10

Multiply by 9

-2y=90

Divide by -2

y = -45

Answer:

60 and 100

Step-by-step explanation:

Look for 2 multiples of 20 which are also factors of 300.

No need to go all Mathematician.

It's simple, no long explanation needed

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.

The solution for the journalizing of the given transactions can be found below:

Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.

Journal is the first place where every transaction is recorded systematically.

The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.

Transaction

(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction

(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.

This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)

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The value of "a" will be 30 for the given Algebraic expression.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, a algebraic expression 6a -4a +5a = 210

Simplifying the equation in terms of a

6a -4a +5a = 210

adding or subtracting the terms with the same variables

7a = 210

divide by 7 on both sides

a = 30

Therefore, the value of "a" will be 30 for the given Algebraic expression.

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Answer

4

Step-by-step explanation:

Add 9 to 11, then divide that by 5.

Answer:

4

Step-by-step explanation:

work backwards 11+9 is 20. Divide 20 by 5 = 4

Answer:

milliliter

Step-by-step explanation:

Most of nail polish have their measurement in ml

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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Answer:

Cada cuota tendrá un valor de $14,850.

Step-by-step explanation:

Dado que Tomás canceló la mitad del valor de la bicicleta, la cual costaba $199.900, el valor pagado al inicio fue de $99,950 (199,900 / 2).

Luego, para el valor restante, Tomás suscribió a una financiación con un interés de $4,000, elevando el monto a pagar a $103,950, pagaderos en 7 cuotas. Por lo tanto, dichas cuotas tendrán cada una un valor de $14,850 (103,950 / 7).

Answer:

He will be 8x+10 years old

Step-by-step explanation:

8x plus 10 = 8x+10