PLEASE ANSWER ASAP !!!

The  \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

A quantity or phenomenon with separate characteristics for both magnitude and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, energy, electromagnetic fields, and weight are a few examples of vectors in nature.

Two vectors are orthogonal if and only if their dot product is zero. Therefore, we need to find the value of k such that the dot product of \($\vec{a}$\) and\($\vec{b}$\) \($\vec{b}$\)\(\vec{b}\) is zero.

The dot product of \($\vec{a}$\) and \($\vec{b}$\) is given by:

\($$\vec{a} \cdot \vec{b} = (2)(-4) + (3)(k) = -8 + 3k$$\)

For the vectors to be orthogonal, their dot product must be zero, so we set -8 + 3k = 0 and solve for k:

-8 + 3k = 0

3k = 8

\($k = \frac{8}{3}$$\)

Therefore, \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

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The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

Esta pregunta esta incompleta

Pregunta completa

Calcula el número de vueltas por minuto que hace la polea pequeña mientras que la grande hace 40 vueltas. Sabiendo que cada polea gira de manera que el radio y el número de vueltas son inversamente proporcionales.

El radio de la polea pequeña = 3 cm.

El radio de la polea grande = 9 cm

Answer:

120 vueltas por minuto

Step-by-step explanation:

El radio y el número de vueltas son inversamente proporcionales.

Por lo tanto

R = Radio

T = El número de vueltas por minuto

R ∝ 1 / T

R = k / T

Donde k es constante de proporcionalidad

Polea grande

R = 9 cm

T = 40 vueltas

9 = k / 40

k = 9 × 40

k = 360

Debemos encontrar el número de vueltas para la polea pequeña, por lo tanto,

R = k / T

k = 360, R = 3 cm

3 = 360 / T

3 × T = 360

T = 360/3

T = 120 vueltas

El número de vueltas de la polea pequeña = 120 vueltas por minuto

Answer:

$92

Step-by-step explanation:

32+4x where x is 15

32+(4*15)=?

32+60=92

let the pounds be 12

the cost = 12× 6

= 72 dollars

Given :

Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.

He has $220 in his bank account before buying the tie.

To Find :

Maximum number of ties he can buy.

Solution :

Let, price of buying x ties is y.

y = 19 + (12.50)x

It is given that he has $200 in his bank account.

So, price of buying tie ≤ $200

y ≤ 200

19 + (12.50)x ≤ 200

(12.50)x ≤ 200 - 19

x ≤ 14.48

Since, number of tie cannot be in decimal.

x ≤ 14

Therefore, maximum tie he can buy is 14.

Hence, this is the required solution.

Answer:

A

E

11.C

12.B

13.E

14.A

15.D

Step-by-step explanation:

Good luck ^^

The number of miles in a day at which the rental costs for Company A and Company B are the same will be 10 miles.

Let the number of miles be represented by x.

Therefore the equation for the first company will be 90 + 0.4m

The equation for the second company will be 60 + 0.7m

Therefore, we will equate them. This will be:

90 + 0.4m = 60 + 0.7m

Collect like terms

90 - 60 = 0.7m - 0.4m

0.3m = 30

m = 30/0.3

m = 10

The number of miles will be 10 miles.

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Alma has to utilize 6/5 glasses of blue paint and 6/5 mugs of ruddy paint with the 2 mugs of white paint to create 2 glasses of her favorite shade of purple paint.

To form 5 mugs of purple paint, Alma makes use of 3 mugs of blue paint, 1frac{1}{2} glasses of ruddy paint, and frac{1}{2} a container of white paint.

So, to form 1 container of purple paint, she has to utilize:

3/5 glasses of blue paint

1frac{1}{2}/5 cups of ruddy paint

frac{1}{2}/5 mugs of white paint

Presently, Alma needs to form 2 glasses of purple paint utilizing 2 glasses of white paint.

Since she already has frac{1}{2} a container of white paint, she as it were needs another 1frac{1}{2} mugs of white paint.

To form 2 glasses of purple paint, Alma must twofold the sum of each color utilized to create 1 glass of purple paint.

In this way, she will require:

2 * 3/5 = 6/5 glasses of blue paint

2 * 1frac{1}{2}/5 = 3/5 + 3/5 = 6/5 glasses of ruddy paint

2 * frac{1}{2}/5 = 1/5 cups of white paint

Since she as of now has 2 glasses of white paint, she will as it were ought to utilize 1/5 glasses of the white paint that she as of now has.

Subsequently, Alma has to utilize 6/5 glasses of blue paint and 6/5 mugs of ruddy paint with the 2 mugs of white paint to create 2 glasses of her favorite shade of purple paint.

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My Answer for your question is

A. O

Step-by-step explanation:

if this factorisation because I think you alr simplified, but here's the answer for factorisation anyways.

you can text me below in the comments section if that's not you want, I will try to answer if I can!!!

Answer:

3y(y - 2)(y - 1)

Step-by-step explanation:

Simplify by factoring

3y(y² - 3y + 2)

= 3y(y - 2)(y - 1)

To find the minimum score needed to be in the top 7%, we need to find the score that corresponds to the 93rd percentile, since the top 7% is the complement of the bottom 93%.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 93rd percentile, which is approximately 1.44. This means that a score of 1.44 standard deviations above the mean corresponds to the 93rd percentile.

To find the actual score, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the actual score, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z * σ + μ

= 1.44 * 6.1 + 76.4

= 85.084

So, the minimum score needed to be in the top 7% is approximately 85.084 points.

The solution of the system is x = 60 and y = 28.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

An algebraic equation,

\(a^{x} a^{y} = a^{88}\)

When the base value is the same, we can add the exponents.

x + y = 88

And x - y = 32

Now, we have the system of equations,

Adding both the equations,

2x = 120

x = 60

And y = 28.

Therefore, the values are x = 60 and y = 28.

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Answer:

D. 23

Step-by-step explanation:

Absolute value Is the distance from zero a number is so -23 is 23 numbers away from zero

Answer:

\(1\frac{1}{2}\)

Step-by-step explanation:

The first step to solving this problem is to convert these into improper fractions.

\(7\frac{2}{3} =\frac{21+2}{3}=\frac{23}{3}\)

\(5\frac{1}{9} =\frac{45+1}{9}=\frac{46}{9}\)

The second step is to determine the reciprocal of the second term.

Reciprocal of \(\frac{46}{9} =\frac{9}{46}\)

The third step is to multiply the first term by the reciprocal of the second term.

\(\frac{23}{3}*\frac{9}{46}=\frac{207}{138}\)

The fourth step is to reduce this fraction.

\(\frac{207}{138}=\frac{3(69)}{3(46)}=\frac{23(3)}{23(2)}=\frac{3}{2}=1\frac{1}{2}\)

Answer:

1 1/2 or 3/2

Step-by-step explanation:

First you need to make your fractions improper.

7 times 3 + 2 = 23, so the fraction is 23/3

5 times 9 + 1 = 46, so the fraction is 46/9

Since this is division, flip the second fraction.

So instead of 46/9, it's now 9/46

Now you can multiply.

23/3 + 9/46 = 207/138

207/138 simplified is 3/2, or  1  1/2

Hope this helped! Leave a comment if it did. :)

Given the data in the question we calculate that the package is delivered at 18:44.

If the package is collected at 15:39 and delivered 3 hours and 25 minutes later, we can add that amount of time to the collection time to find the delivery time.

First, we need to convert 3 hours and 25 minutes to just minutes. To do this, we multiply 3 by 60 (to convert hours to minutes) and then add 25:

3 hours and 25 minutes = (3 × 60) + 25 = 185 minutes

Now we can add 185 minutes to the collection time of 15:39:

15:39 + 185 minutes = 18:44

Therefore, the package is delivered at 18:44. The delivery time of a package is the time it takes for the package to be transported from the sender to the receiver. In this case, the package was collected at 15:39 and delivered 3 hours and 25 minutes later. To find the delivery time, we added the duration of 3 hours and 25 minutes to the collection time. It is important to keep track of delivery times to ensure timely and efficient shipping, especially for time-sensitive or perishable items. Timely delivery is crucial for businesses that rely on shipping to meet customer expectations and maintain customer satisfaction.

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Answer:

I think its A 1200

Step-by-step explanation:

Answer:

i had this question before and the correct answer was "subtract 12r from both sides of the equation" im sorry if im wrong that was my correct answer when i had this question

Step-by-step explanation:

When both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

Based on the given production alternatives for countries A and B, the correct statement regarding their production of computers and steel at full employment is:

"Country A has a comparative advantage in producing computers, while Country B has a comparative advantage in producing steel."

Here's a step-by-step explanation:

1. Calculate the opportunity cost for each country:
- Country A: To produce 1 computer, they give up 1 unit of steel (100 computers = 100 units of steel).
- Country B: To produce 1 computer, they give up 4 units of steel (20 computers = 80 units of steel).

2. Identify the comparative advantage:
- Country A has a lower opportunity cost for producing computers (1 unit of steel), so they have a comparative advantage in computer production.
- Country B has a higher opportunity cost for producing computers but a lower opportunity cost for producing steel, so they have a comparative advantage in steel production.

Thus, when both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

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The critical value for right tailed test is 2.998, the critical value for left tailed test is - 1.717.

First, we must know the following data,

df = degree of freedom = n - 1

α = significance level

Next, t test have three type of test which is

Then, to find critical value using the t distribution table search df value in left column of table and search the α in the top row of the table (depending on the type of test, use one tail row for this case). For example, see attached image.

Thus, the right tailed test critical value is 2.998, and the left tailed test critical value is - 1.717.

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Common stock $12240 and paid-in capital in excess of par value $5100.

What is the common stock?

Common stock is a sort of instrument that represents company equity ownership. Outside of the United States, the words voting share and ordinary share are also commonly used. In the United Kingdom and other Commonwealth countries, they are referred to as equity shares or ordinary shares.

Here, we have

Given:  Nexis Corp. issues 1020 shares of $12 par value common stock at $16 per share.

So $5 per share is the premium on the issued share.

The premium is commonly recorded in a paid-in capital account.

1020×12 =  $1,2240 and a premium would be recorded in common stock.

1020×5 = 5100, would be recorded in the paid-in capital account.

Hence, Common stock is $12240, and paid-in capital in excess of par value is $5100.

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Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

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The formula for the nth partial sum of the series is equal to Sn = ln √(n+1), and the series diverges.

Get a formula for the nth partial sum of the series, by writing out the first few terms,

S₁ = (ln √2 - ln √1)

   = ln √2

S₂ = (ln √3 - ln √2) + (ln √2 - ln √1)

   = ln √3 - ln √1

S₃= (ln √4 - ln √3) + (ln √3 - ln √2) + (ln √2 - ln √1)

   = ln √4 - ln √1

Pattern here expressed the nth partial sum is equal to

ln √(n+1) - ln √1.

Simplify this to,

ln (√(n+1)/√1)

= ln √(n+1).

nth partial sum is equal to,

Sn = ln √(n+1)

Series converges or diverges,

Take the limit of the nth partial sum as n approaches infinity we have,

\(\lim_{n \to \infty}\) ln √(n+1)

= ln ∞

= ∞

Here, the limit of the nth partial sum diverges to infinity, the series itself diverges.

⇒the series does not have a sum.

Therefore, the nth partial sum of the series is Sn = ln √(n+1), and the series diverges.

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Answer:

30

Step-by-step explanation:

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:

untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:

Oberfläche = Grundfläche + Mantelfläche

Volumen = Grundfläche · Pyramidenhöhe : 3

Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).

JSXGraph v0.95 Copyright (C) see http://jsxgraph.org

ha = 5.83 cm

h = 5.00 cm

a = 6.00 cm

b = 6.01 cm

hb = 5.83 cm

V = 60.10 cm³

Ap = 106.11 cm²

AM = 70.05 cm²

AG = 36.06 cm²

 –  o  +  ←  ↓  ↑  → 

rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche

OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3

VP = AG · h : 3

VP = a · b · h : 3VP = a² · h : 3

Step-by-step explanation:

#semogamembantu

By using the ratio formula, the number of doughnuts that will be consumed of 8 students in the time period of 9 minutes is 24 doughnuts.

The ratio formula compares the connection between two quantities or numbers. In this case, we are given that:

2 students can eat 4 doughnuts in 6 minutes

By using the ratio formula, 1 student can eat = 4/2 = 2 doughnuts in 6 minutes

It takes an average student about 3 minutes to consume a doughnut using the formula= 6/2 = 3 minutes

In one minute, the amount of doughnut can be consumed by a student is 1/3 of a doughnut

This method can be used to predict how many doughnuts 8 students can consume in 9 minutes:

X = 8 x 9 x (1/3) = 24 doughnuts

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Answer:

Probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.

Step-by-step explanation:

The probability of Zach wearing a solid shirt, blue pants, and a bow tie is equal to the product of the probabilities of each event happening independently.

The probability of Zach wearing a solid shirt is 1/3, since he has 3 shirts and only one of them is solid.

The probability of him wearing blue pants is 1/2, since he has 2 pairs of pants and only one of them is blue.

The probability of him wearing a bow tie is 1/2, since he has 2 ties and only one of them is a bow tie.

Therefore, the probability of Zach wearing a solid shirt, blue pants, and a bow tie is:

P(solid shirt) * P(blue pants) * P(bow tie) = 1/3 * 1/2 * 1/2 = 1/12

So the probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.