A school system is buying new computers. They will buy desktop computers costing $1000 per unit, and notebook computers costing $1200 per unit.

cost of the computers cannot exceed $80,000.

Answer:

259 / 701

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability of getting someone who has been in a car accident = number of respondents that have been in an accident / total number of respondents

total number of respondents = 259 + 442 = 701

 = 259 / 701  

Answer:

Screenshot the answer choices I don't remember them right off rip

Step-by-step explanation:

The volume that the similar aquarium will hold is 400 cubic feet

Similar figures are figures that have similar angles and sides.

Given the following parameters

Volume of similar aquarium

Substitute into the formula

V/H = v/h

4000/10 = v/1

400 = v

v = 400 cubic feet

Hence the volume that the similar aquarium will hold is 400 cubic feet

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The one - year standard deviation is, 10.45%.

what is standard deviation?

The standard deviation in statistics is a measurement of how much a set of values can vary or be dispersed. A low standard deviation suggests that values are typically close to the set's mean, whereas a high standard deviation suggests that values are dispersed over a wider range.

Given:

A portfolio has a 3-year standard deviation of 18.1%.

We have to find the one - year standard deviation.

One - year SD = Variance / number of years.

Here,

Variance = square of standard deviation = (18.1)^2 = 327.61

So,

One - year SD = 327.61 / (3/1)

One - year SD = 109.20

Now,

(109.2)^(1/2) = 10.45%

Hence, the one - year standard deviation is, 10.45%.

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I hope this helps you

Step-by-step explanation:

To rent a jet ski it cost a flat fee of $80 for the entire day. How much does it cost for 2 hours of use?

there are 24 hours in a day

80/24 = 3.333333 per hour

for two hours it costs:

3.33333 * 2 = $6.67 (rounded)

If p and n are positive integers and p > n. 0, 1, 5, 6, 9, and 11 are the remainders when p² - n² is divided by 15.

To find the remainder whilst (p² - n²) is split with the aid of 15, we are able to think of the expression p² - n² the usage of the distinction of squares method.

The distinction of squares formula states that a² - b² can be factored as (a + b)(a - b).

Applying this method to p² - n²;

p² - n² = (p + n)(p - n)

Now, we recognize that p and n are positive integers and p > n. This way that p + n and p - n are both advantageous integers.

To locate the remainder whilst (p^2 - n^2) is split through 15, we will take a look at the remainders of (p + n) and (p - n) when divided with the aid of 15.

Let's don't forget the viable remainders when dividing an integer by means of 15:

zero, 1, 2, 3, 4, five, 6, 7, eight, 9, 10, 11, 12, 13, 14

Since p + n and p - n are both high-quality integers, the feasible remainders when dividing them by way of 15 could be:

zero, 1, 2, three, 4, 5, 6, 7, eight, 9, 10, eleven, 12, thirteen, 14

Now, permits take into account the viable products of (p + n) and (p - n) while the remainder is multiplied:

0 * 0 = 0

1 * 14 = 14

2 * 13 = 26 (that's equal to eleven modulo 15)

3 * 12 = 36 (that's equal to six modulo 15)

4 * eleven = 44 (that's equivalent to fourteen modulo 15)

5 * 10 = 50 (which is equivalent to five modulo 15)

6 * 9 = 54 (that is equivalent to nine modulo 15)

7 * eight = 56 (that's equal to 11 modulo 15)

8 * 7 = 56 (that is equivalent to eleven modulo 15)

9 * 6 = 54 (that's equal to nine modulo 15)

10 * 5 = 50 (which is equivalent to 5 modulo 15)

11 * 4 = 44 (that's equivalent to fourteen modulo 15)

12 * 3 = 36 (that is equal to 6 modulo 15)

13 * 2 = 26 (that's equivalent to 11 modulo 15)

14 * 1 = 14

From the above merchandise, we will see that (p + n)(p - n) will have remainders of zero, 1, five, 6, 9, and eleven when divided via 15.

Therefore, the feasible remainders whilst () is split through 15 are 0, 1, 5, 6, nine, and 11.

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Using Lagrange multipliers, we found the critical points of F(x,y,z)=xyz subject to x^2+2y^2+3z^2=6. Evaluating the second derivative, we determined that these were maximum points (-5/27) and minimum points (5/27).

First, we need to write out the Lagrangian function, which is given by

L(x, y, z, λ) = xyz + λ(x^2 + 2y^2 + 3z^2 - 6)

where λ is the Lagrange multiplier. We want to find the critical points of this function, which means we need to find values of x, y, z, and λ that satisfy the following equations

∂L/∂x = yz + 2λx = 0

∂L/∂y = xz + 4λy = 0

∂L/∂z = xy + 6λz = 0

∂L/∂λ = x^2 + 2y^2 + 3z^2 - 6 = 0

We can solve the first three equations for x, y, and z in terms of λ

x = -yz/2λ

y = -xz/4λ

z = -xy/6λ

Substituting these expressions into the fourth equation gives

(-yz/2λ)^2 + 2(-xz/4λ)^2 + 3(-xy/6λ)^2 - 6 = 0

Multiplying through by λ^2/36 and simplifying, we get

-27x^2 + 8y^2 + 2z^2 = 24

Now we can substitute our expressions for x, y, and z back into this equation to get an expression for λ

-27(-yz/2λ)^2 + 8(-xz/4λ)^2 + 2(-xy/6λ)^2 = 24

Multiplying through by -36λ^2/xyz and simplifying, we get

27x^4 + 32y^4 + 4z^4 - 72x^2y^2 - 54x^2z^2 - 36y^2z^2 = 0

Now we can use the equation x^2 + 2y^2 + 3z^2 = 6 to eliminate one of the variables, say z. Solving for z in terms of x and y, we get

z = √((6 - x^2 - 2y^2)/3)

Substituting this expression into the equation we just derived for λ, we get a single equation in x and y

27x^4 + 32y^4 + 4(6 - x^2 - 2y^2)/3 - 72x^2y^2 - 54x^2(6 - x^2 - 2y^2)/9 - 36y^2(6 - x^2 - 2y^2)/18 = 0

Multiplying through by 27 and simplifying, we get

27x^4 + 864x^2y^2 + 576y^4 - 432x^2 - 864y^2 + 432 = 0

This is a quartic equation in x, which can be solved numerically to find the critical points. However, it is a bit messy to solve analytically, so I will just give you the solutions

x = ±√(2/3), y = ±√(1/6), z = ±√(5/3)

To determine whether these are maximum or minimum points, we need to check the second derivative of the Lagrangian at each point. If the second derivative is positive, it is a minimum point; if it is negative, it is a maximum point.

The second derivative of the Lagrangian is given by

∂^2L/∂xi∂xj = δijzλ

∂^2L/∂λ^2 = 0

where δij is the Kronecker delta, equal to 1 if i=j and 0 otherwise.

Plugging in the critical points we found, we get

At (√(2/3), √(1/6), √(5/3))

∂^2L/∂x^2 = λz = -√(5/3)

∂^2L/∂y^2 = λz = -√(5/3)

∂^2L/∂z^2 = xyλ = √(10/27)

Since the second derivative with respect to x and y is negative, and the second derivative with respect to z is positive, this is a maximum point.

At (-√(2/3), -√(1/6), -√(5/3))

∂^2L/∂x^2 = λz = -√(5/3)

∂^2L/∂y^2 = λz = -√(5/3)

∂^2L/∂z^2 = xyλ = √(10/27)

Since the second derivative with respect to x and y is negative, and the second derivative with respect to z is positive, this is also a maximum point.

Therefore, the maximum and minimum values of the function subject to the constraint x^2 + 2y^2 + 3z^2 = 6 are

Maximum value is -√(5/3)(√(2/3))(√(1/6))(√(5/3)) = -5/27

Minimum √(5/3)(-√(2/3))(-√(1/6))(-√(5/3)) = 5/27

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Answer: b

Step-by-step explanation:

Because he establish and strong government in 322 bce and  He was followed by his son Bindusara in 298 BCE so this is the answer nd i already did this question and got it right

Answer:

C, None of the above

Step-by-step explanation:

Step 1: Expand the brackets

-7 - 3(-4e-3)

-7 + 12e + 9

Step 2: Collect like terms

12e + 2

Because the answer is not a or b the answer is 'None of the Above'

Hey there! I'm happy to help!

Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.

-7+3(-4e-3)

-7-12e-9

We combine like terms.

-16-12e

This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.

-4(3e+4)

We use distributive property.

-12e-16

We see that these have the same value, so the correct answer is A.

Have a wonderful day! :D

Jasmine sold the fidget spinner to Bryan for the cost of $5.55.

To find the cost that Jasmine sold the fidget spinner to Bryan for, we need to first find the amount of the markup by multiplying the original price by the markup percentage.

As per the question, the original price of the fidget spinner is $3, and the markup percentage is 850%, so the markup amount is :

$3 × 850% = $2.55.

Next, we need to add the markup amount to the original price to find the selling price. So, the selling price is :

$3 + $2.55 = $5.55.

Therefore, Bryan paid $5.55 for the fidget spinner that Jasmine had just sold him.

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Answer:

$1500

Step-by-step explanation:

Since the radius of the silo is 10 meters, then the total length of the silo is 20 meters. So now we multiply 75 by 20

75 x 20 = 1500

So the value of the rice in the silo is $1500

Answer:

width = 1 ft

Step-by-step explanation:

"Similar" means same area.

Therefore area of first garden = area of second garden.

Let x be the width of the second garden.

5x4 = 20x

x = 1 ft

Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.

Answer:

27 miles.

Step-by-step explanation:

if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped

Answer:

1/4=1 whole so to keep it simple you can do 3x4=12and that how much quarters are in three whole

Step-by-step explanation:

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .

In the question ,

it is given that

the time taken to vacate the stadium = 20 minutes

number of exits = 25 exits

capacity of the stadium = 25000 spectators .

given that ,

time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .

time taken ∝ number of spectators ∝ 1/number of exits .

to remove the proportionality sign , we write the constant

time taken = k * (number of spectators)/(number of exits) .

20 = k * 25000/25

20 = k * 1000

k = 20/1000

k = 2/100

k = 1/50 = 0.02

So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula

time taken = (0.02)*(21000/15)

= 0.02*1400

= 28

Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28  minutes .

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Answer:

Compounds contains atoms from different elements. The elements are bounded chemically. H20, stands from a hydrogen atom and two oxygen atoms bonded together. These are two different elements and therefore the combination of H20 fits the definition for a compound.

The correct solution of the given quadratic equation was found using the formula.

The given equation is:

\(9x+2=8x^{2} +6x\)

\(8x^{2} +6x-9x-2=0\)

\(8x^{2} -3x-2=0\)....(1)

An equation of the form \(ax^{2} +bx+c=0\) is called a quadratic equation where \(a\neq 0\).

We can solve equation (1) by the formula

\(x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}\)

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

\(x=\frac{-3+-\sqrt{73} }{16}\)

Hence, the correct solution of the given quadratic equation was found using the formula.

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Answer:

Some People Have Curly Brown Hair Turns Permanently Black

Step-by-step explanation:

Sin=p/h

Cos=b/h

Tan=p/b

Answer:

"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2) (3) Other mnemonics include.

Step-by-step explanation:

ANSWER

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Nominal measurement is used to assign a category or label, Ordinal is used to rank objects in a specific order, Interval is used to indicate distance between two points on a scale and Ratio is used to indicate proportion of one quantity to another.

Measurements are a way of quantifying certain characteristics of an object or phenomenon. There are different types of measurements, each with their own characteristics and uses. The four main types of measurements are nominal, ordinal, interval, and ratio.

Nominal measurements are used to assign a category or label to an object or phenomenon. For example, the colors of a rainbow (red, orange, yellow, green, blue, indigo, and violet) are a nominal measurement because they are simply labels, and there is no inherent order or difference between them.

Ordinal measurements are used to rank objects or phenomena in a specific order. For example, the ranks of a military organization (private, corporal, sergeant, captain, etc.) are an ordinal measurement because they indicate a specific order, but there may not be a consistent difference between the ranks.

Interval measurements are used to indicate the distance between two points on a scale. For example, temperature measured in degrees Celsius is an interval measurement because it tells us the difference in temperature between two points, such as 20 degrees Celsius and 30 degrees Celsius, but there is no true zero point on the scale (absolute zero is not 0 degrees Celsius).

Ratio measurements are used to indicate the proportion of one quantity to another. For example, weight measured in kilograms is a ratio measurement because it tells us the proportion of one weight to another, such as one person weighing 50 kilograms and another person weighing 100 kilograms, and there is a true zero point on the scale (0 kilograms).

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Given statement solution is :- By eliminating baths for a whole year and taking showers instead, you would save approximately 1,040 gallons of water.

To calculate the amount of water you would save by not taking baths for an entire year, we need to determine the total water usage for baths and showers separately.

Let's start by calculating the amount of water used for baths:

Number of baths per week = 1

Water used per bath = 40 gallons

Total water used for baths in a week = Number of baths per week × Water used per bath

= 1 bath/week × 40 gallons/bath

= 40 gallons/week

Now, let's calculate the amount of water used for showers:

Number of showers per week = 6 (since you take showers on the other six days)

Water used per shower = 10 gallons

Total water used for showers in a week = Number of showers per week × Water used per shower

= 6 showers/week × 10 gallons/shower

= 60 gallons/week

Next, we need to calculate the total water used for baths and showers in a year:

Total water used for baths in a year = Total water used for baths in a week × Number of weeks in a year

= 40 gallons/week × 52 weeks/year

= 2,080 gallons/year

Total water used for showers in a year = Total water used for showers in a week × Number of weeks in a year

= 60 gallons/week × 52 weeks/year

= 3,120 gallons/year

Finally, to determine the amount of water you would save by not taking baths for an entire year, subtract the total water used for baths in a year from the combined total water used for baths and showers in a year:

Water saved by not taking baths for a year = Total water used for baths and showers in a year - Total water used for baths in a year

= 3,120 gallons/year - 2,080 gallons/year

= 1,040 gallons/year

By eliminating baths for a whole year and taking showers instead, you would save approximately 1,040 gallons of water.

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The required answer is  If t: R2 → R2 rotates vectors about the origin through an angle φ.

If t rotates vectors about the origin through an angle φ, then it satisfies the properties of linearity: t(u+v) = t(u) + t(v) and t(cu) = ct(u) for any vectors u,v in r2 and scalar c. Therefore, t is a linear transformation.
True: If t: R2 → R2 rotates vectors about the origin through an angle φ, then t is a linear transformation.

Transformation of three phase electrical quantities to two phase quantities is a usual practice to simplify analysis of three phase electrical circuits. Polyphase  machines can be represented by an equivalent two phase model provided the rotating polyphases winding in rotor and the stationary polyphase windings in stator can be expressed in a fictitious two axes coils. The process f replacing one set of variables to another related set of variable is called winding transformation or simply transformation or linear transformation. The term linear transformation means that the transformation from old to new set of variable and vice versa is governed by linear equations. The equations relating old variables and new variables are called transformation equation and the following general form:

This is because the rotation of vectors satisfies the properties of a linear transformation, which are:
1. Additivity: t(u + v) = t(u) + t(v) for all vectors u and v in R2.
2. Homogeneity: t(αu) = αt(u) for all vectors u in R2 and all scalars α.

There are at least a countable infinity of rotation vectors corresponding to any rotation. Furthermore, all rotations by 2πM are the same as no rotation at all, so, for a given integer M, all rotation vectors of length 2πM, in all directions, constitute a two-parameter uncountable infinity of rotation vectors encoding the same rotation as the zero vector.

The axis–angle representation is equivalent to the more concise rotation vector, also called the Euler vector. In this case, both the rotation axis and the angle are represented by a vector codirectional with the rotation axis whose length is the rotation angle θ,
Rotating vectors about the origin through an angle φ preserves these properties, making t a linear transformation.

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I think this is one of those trick questions!

I'm going to say the answer is... 90°

because it states within the question that ∠A and ∠B are vertical angles

That is my educated guess. I hope it's helpful!

Pls let me know if my answer is incorrect.

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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(a) (-1, -2, 2) = (-7/6)(2, 1, 3) + (1/2)(5, 0, 4) (b) (8,-1,27) has no solution (d) (1, 1, 1) = (3/2)(2, 1, 3) − (1/2)(5, 0, 4).


Linear Combination is a mathematical operation performed with the help of matrices. If a linear combination is possible for any vector using the given set of vectors, then the given set of vectors is known as a linearly dependent set of vectors. It can be written as:

\(\vec{v}=\sum_{i=1}^n \alpha_i \vec{a_i}\)

We are given three vectors in this problem and we need to check if each of them can be written as a linear combination of the given vectors in set S.

(a) Given vector \(z = (-1, -2, 2)\) can be written as the linear combination of S as follows:

\((-1,-2,2) = (-\frac{7}{6})(2,1,3) + (\frac{1}{2})(5,0,4)\)

(b) Given vector \(v = (8, -1, 27)\)has no solution for linear combination of vectors in S. Therefore, vector v cannot be written as a linear combination of the given vectors in set S.  

(d) Given vector \(u = (1, 1, 1)\) can be written as the linear combination of S as follows:

\((1,1,1) = (\frac{3}{2})(2,1,3) - (\frac{1}{2})(5,0,4)\)

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