5272- ii) कुनै धनात्मक संख्याको वर्गमा 5 जोडंदा 69 हुन्छ भने उक्त संख्या पत्ता लगाउनुहोस् । (If 5 is added to the square of a positive number, the sum is 69. Find the numbers.)​

Answer:

a) L = 4p

b ) 24 light bulbs

Step-by-step explanation:

Robin is buying energy-efficient light bulbs. Each package of 4 light bulbs costs $13. She has a coupon for $5 off her total purchase.

Each package of 4 light bulbs costs $13.

a.Write an equation to determine the total number of light bulbs, L, for p packages.

1 package = 4 bulbs

L = 4p

Where p = number of packages

b) Then determine the number of light bulbs Robin will get if she buys 6 packages. Show your work.

L = 4p

p = 6 packages

L = 4 × 6

L = 24 light bulbs

The notations of the graphed function are given as follows:

a) Absolute value notation: y = |x + 3|.

b) Piece-wise definition:

The absolute value function, which vertex (h,k), is defined by the following piece-wise rule, depending on the input of the function:

From the graphed function, the coordinates of the vertex are given as follows:

(-3,0).

Hence the parameters are:

h = -3, k = 0.

The absolute value notation of the equation is:

y = |x + 3|.

The piece-wise definition is:

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Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

\(P(A \cap B)\) es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces \(P(A) = 0.6\)

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces \(P(A \cap B) = 0.3\)

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5\)

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer:

thanks...

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

both sides, add 7

Hey there!

“x – 3 = 7”

• FIRST: ADD by 3 on BOTH sides

• x – 3 + 3 = 7 + 3

• CANCEL out: –3 + 3 because that gives you 0

• KEEP: 7 + 3 because that helps us solve for your x-value

• NEW EQUATION: x = 7 + 3

• FLIP THE EQUATION: 7 + 3 = x

“Solve above and you have your answer!”

• ANSWER: x = 10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

3 / 50

Step-by-step explanation:

0.06 = 6 / 100 = 3 / 50

Answer:

6/100 or simplified to 3/50

Step-by-step explanation:

To write 0.060 as a fraction you have to write 0.060 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.060 = 0.060/1 = 0.6/10 = 6/100

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

Step-by-step explanation:

Let x = number of months so that y = 130x + 250

Answer:

130m + 250

Step-by-step explanation:

$250 plus number of months * $130.

490

472 <490<500

it fits the criteria

Answer:

14a + 6b

Step-by-step explanation:

To expand use distributive property. a*(b +c) =a*b +a *c

Simplifying an expression

2*(3a - 5b + 4*(a+2b) = 2*(3a -5b + 4*a +4*2b)

                                  = 2*(3a - 5b + 4a + 8b)

                                  = 2* (3a + 4a - 5b + 8b)

Combine like terms.  To combine like terms, add or subtract the coefficient of the variables. 3a and 4a   & (-5b) and 8b are like terms  

                                 = 2*( 7a + 3b)  

                                 = 2*7a + 2*3b

                                 = 14a + 6b

Hey there!

2(3a - 5b) + 4(a + 2b)

= 2(3a - 5b) + 4(1a + 2b)

= 2(3a) + 2(-5b) + 4(1a) + 4(2b)

= 6a - 10b + 4a + 8b

= (6a + 4a) - (10b + 8b)

= 6a + 4a - 10b + 8b

= 10a - 2b

Therefore, your answer is: 10a - 2b

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

stream walls by louis tomlinson on itunes

Step-by-step explanation:

No.

The intermediate value theorem (IVT) says that if \(f(x)\) is continuous on \([a,b]\), and if \(d\) is a number between

\(\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}\)

then there is some \(c\in(a,b)\) such that \(f(c) = d\).

In this case we have for all \(x\in[5,6]\),

\(-5 \le f(x) \le 5\)

0 falls in this range, so by continuity of \(f\) and the IVT, there must be some number \(x\in(5,6)\) such that \(f(x) = 0\).

Answer:

Hence, the shape of the parallelogram ABCD is a rectangle.

Step-by-step explanation:

We know that a - b = d - c.

Let E be the midpoint of AC. Then we have:

E = (a + c)/2

Similarly, let F be the midpoint of BD. Then we have:

F = (b + d)/2

Using these midpoints, we can express the position vectors of B and D as follows:

b = 2E - a

d = 2F - c

Substituting these expressions into the given equation, we get:

a - (2E - a) = (2F - c) - c

Simplifying this equation, we get:

2a - 2E = 2F - 2c

a - c = F - E

This means that the vector joining A and C is equal to the vector joining F and E. Thus, AC is parallel to FE.

Similarly, we can show that BD is parallel to FE. Hence, ABCD is a parallelogram.

Now, we are given that |a-c| = |b-d|. Since the opposite sides of a parallelogram are equal in length, we have:

AB = CD = |b - a|

BC = AD = |c - b|

Therefore, we have AB = CD and BC = AD. This means that the opposite sides of ABCD are equal in length. Also, we have shown that AC is parallel to BD. Therefore, ABCD is a parallelogram with opposite sides equal in length and parallel to each other.

Hence, the shape of the parallelogram ABCD is a rectangle.

A) if Hank shoots inside the three-point line we can say that he has to shoot 246 in to make the ball into the hoop.

B) then the direct, in a straight line to the center of the basket is : x = √2*246inches ^2

Answer:

x = √2*246inches ^2

Step-by-step explanation:

yw

Answer: y=4x+9

Step-by-step explanation:

M= 1+11/-2+5= 12/3= 4

y=mx+b

1=4(-2)+b

1=-8+b

b=9

y=4x+9

Answer:

\(\huge\boxed{\sf -2.280}\)

Step-by-step explanation:

Finding value of log₃(4/49):

\(\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\\)

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

\(= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Hahhahaha

Answer:

=(a-b)(a^2+ab+b^2)

= a^3+a^2b+ab+ab^2-ba^2-ab^2-b^3

SIMPLIFY

=a^3+ab-b^3

Answer:

x ≤ - 5

Step-by-step explanation:

Given

x - 5 ≤ - 10 ( add 5 to both sides )

x ≤ - 5

Average speed = 2.5 miles

Divide 6 from both sides.

6/6 = 1

15/6 = 2.5

So, overall Mark walks 2.5 miles per hour.

hope it helps!

Every year, 1800 units crossover point. The process focus is less expensive for volumes over 1800.

When all tax credits have been used up by a limited partnership and the limited partners are left with a tax burden, that moment is known as the crossover point.

When both projects have positive values, the crossover point is formed by the intersection of two IRR curves.

The weighted average cost of capital, also known as the crossover rate, is the rate of return at which the net present values (NPV) of two projects are equal.

The rate of return at which the net present value profiles of two projects cross each other is what this term denotes.

So, annual crossover sales are 1800 units.

Process emphasis is less expensive and less important for volumes under 1800 units; repeated manufacturing concentration is less expensive and less important for volumes exceeding 1800 units.

Fixed cost ÷ variable cost

$90000÷50 =$1800

$9,000÷5=$1800

Therefore, every year, 1800 units cross over. The process focus is less expensive for volumes over 1800.

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Correct question:

A product is currently made in a process-focused shop, where fixed costs are $9,000 per year and variable costs are $50 per unit. The firm is considering a fundamental shift in process, to repetitive manufacturing. The new process would have fixed costs of $90,000, and variable costs of $5. The cross over is at 1800 units annually. for volumes over 1800, the process focus is cheaper.

In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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Answer:

-24xy+2yz

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Using the mean concept, the ratio of the number of female attendants to the number of male attendants was of 3.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem:

Hence:

\(\frac{1200f + 800m}{f + m} = 900\)

1200f + 800m = 900f + 900m

100m = 300f

\(\frac{f}{m} = 3\)

Hence the ratio was of 3.

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John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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Answer:

D

Step-by-step explanation:

\( \frac{ - 16}{ - 4 \times 1} = \frac{ - 16}{ - 4} \)

Since, Both sides are equal we can eliminate one of them and then divide the given equation i.e.

\( - 16 \div - 4\)

Now, When we divide (-) & (-) we get the answer in (+).. So, Our answer will be

\(4\)

Final answer:-