Find the solution to the system of equations.
X + 4y- 5z = -6
X + 4y-4z=-2
X + 5y-4z= 1
O A. x = 2, y = 4, z = 5
O B. x = 2, y = 3, z= 4
O C. x = 5, y = 11, z = -12
O D. x= 5, y = 5, z= 3

Answer:

576π cm³

Step-by-step explanation:

Find volume of 1 sphere:

V = 4/3πr³ = 4/3π(6)³ = 288π

Volume occupied by 4 spheres = 4(288π) = 1152π

Find volume of cylinder:

V = πr²h

h = 4(12) = 48     (4 spheres stacked inside the cylinder)

V = π(6)²(48) = 1728π

Empty space = (Volume-cylinder) - (Volume-4 spheres) = 1728π - 1152π = 576π

About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.

At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured

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Anita has acquired a new building, which is located in a prime location. She aims to generate additional income by putting up an advertisement sign for rental purposes on the roof of the building.

By placing an advertisement sign on the roof, Anita is making use of the building's prime location and visibility to attract potential tenants. The sign is a cost-effective way of advertising her building and helps to reach a large audience, who may be interested in renting a space in the building.

Additionally, the rental income generated from the advertisement sign will help to offset the costs of owning the building, making it a profitable investment for Anita in the long run. By utilizing all the resources at her disposal, she is making smart business decisions that will help her achieve her financial goals.

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The complete question is-

What is the plan of Anita for the new building that she purchased for her business?

The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .

The cylinder is a three-dimensional shape having a circular base.

A cylinder can be seen as a set of circular disks that are stacked on one another.

The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.

Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.

For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.

Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder

Since the  base is the circle, it can be written as

Volume =  πr^2 × h

Therefore, the volume of a cylinder = πr^2h cubic units.

diameter of 2.5 in

r = 2.5/2 in.

r = 1.25 in

r = 3.175 cm

cylindrical drinking glass 5.5 in. tall

h = 5.5 in.

h = 13.97cm

volume of the drinking glass

Volume =  πr^2 × h

              =   π ( 3.175)^2 ×  13.97  cm^3

              = 442.4189 cm^3

The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .

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Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

Answer:Determine two values that make the equation false. (2 points)

Step-by-step explanation:

Answer: You are only giving 4 point!

Step-by-step explanation:

The sentence written in the passive voice is - The delicious bread is baked by Mr. Jilin

This sentence is written in the passive voice because it follows the passive voice structure of: Object + Past Participle Verb (baked) + by Agent (Mr. Jilin).

In the passive voice, the object of the sentence (delicious bread) is the focus of the sentence, rather than the agent (Mr. Jilin).

Passive voice is a grammatical construction in which the subject of a sentence is not the one performing the action.

Instead, the action is done to the subject. For example, instead of saying "I ate the apple," one might say "The apple was eaten by me."

In passive voice, the subject of the sentence is often omitted and the verb is usually conjugated with a form of "to be" and the past participle of the verb.

This grammatical construction is used to emphasize the object of the action, rather than the subject, and can also be used when the subject is unknown or unimportant.

Passive voice can also be used in scientific and technical writing to create sentences that are clear and concise.

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Answer:

Step-by-step explanation:

the this it the r po ggr

Answer:

Step-by-step explanation:

10

20 divide by 2=10

1. The equation for the total amount of money spent is: 6x + 3y = 36.

2. The equation for the total number of items purchased is: x + y = 8.

3. The slope-intercept equation is: y = -2x + 12

4. The equation is y = -x + 8

5. Total number is 8.

The slope-intercept equation is expressed as y = mx + b.

1. The total amount of money spent can be represented by the equation: 6x + 3y = 36, where x represents the number of nachos and y represents the number of hotdogs.

2. The total number of items purchased can be represented by the equation: x + y = 8, where x represents the number of nachos and y represents the number of hotdogs.

3. To write the equation for the total amount of money spent in slope-intercept form, we need to solve for y:

6x + 3y = 36

3y = -6x + 36

y = -2x + 12

4. To write the equation for the total number of items purchased in slope-intercept form, we need to solve for y:

x + y = 8

y = -x + 8

5. The total number of hotdogs and nachos sold is 8, which is the sum of x and y.

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(a) The work done in pulling the rope to the top of the building is approximately 4800 ft-lb.

(b) The work done in pulling half the rope to the top of the building is approximately 2400 ft-lb.

The work done in pulling the rope to the top of the building can be calculated using a Riemann sum:

Where Δx is a small change in the length of the rope, g is the acceleration due to gravity (32 [tex]ft/s^2[/tex]), and the sum is taken over the entire length of the rope (from 0 to 100 ft).

Expressing the work as an integral, we have:

W=∫ [tex]0^{100} (0.8 lb/ft) x (g) x (x) dx[/tex]

Evaluating this integral gives us the work done in pulling the rope to the top of the building:

[tex]W = (0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=100

W = 4800 ft-lb

(b)To find the work done in pulling half the rope to the top of the building, we simply evaluate the integral from x=0 to x=50 (the length of half the rope).

W = [tex](0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=50

W = 2400 ft-lb.

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A matrix A is said to be hermitian if it satisfies the property A = A*

A* Means the conjugate transpose of A

Here

Given that A is a rectangular matrix.

we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*

we will prove that A*A is hermitian:

(AA) = (A*)A = A*A

AA = (AA)

so we can see that it is "AA" indeed hermitian,

Now we will prove that AA* is hermitian

(AA*)* = A*(A*)* = A*A

AA* = (AA*)

AA is indeed hermitian.

given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.

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A matrix A is said to be hermitian if it satisfies the property A = A*

A* Means the conjugate transpose of A

Given that A is a rectangular matrix.

we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*

we will prove that A*A is hermitian:

(AA) = (A*)A = A*A

AA = (AA)

so we can see that it is "AA" indeed hermitian,

Now we will prove that AA* is hermitian

(AA*)* = A*(A*)* = A*A

AA* = (AA*)

AA is indeed hermitian.

given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.

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The required area model is shown in the figure, as per the given expression.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Area model of the expression x² + x - 56 is formed as,
factorize the given expression
x² + x -56= (x + 8)(x - 7)

Thus, the required area model is shown in the figure, as per the given expression.

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The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.

What is polynomial ?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

To find the values of a that make the determinant of the matrix |a| equal to 0, we need to evaluate the determinant of the matrix:

|a| = a * (-6a + 9) - (3a^2 - 9) * 9

= -6a^3 + 27a^2 + 9a * 9 = 0

We can then solve for a using polynomial roots:

-6a^3 + 27a^2 + 81 = 0

The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.

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Answer:

2428.57mg

Step-by-step explanation:

170 mg of sodium =7%

170/7% = 2428.57mg

After multiplying by 2 in the numerator and denominator both, we can write 3/4 in an equivalent fraction as 6/8.

The equivalent form is the process in which we write the same expression in simple numbers or modified form.

To find the equivalent fraction, divide or multiply by the same number to both the denominator and numerator that is equal to one

For example, Equivalent to 1/2 is 1/2 × 2/2 = 2/4

The fraction number, 3/4

Now, further multiplying and dividing number 2 in  the given fraction number 3/4

⇒ 2 × 3/2 × 4

⇒ 6/8

Hence, the equivalent form is 6/8.

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Check the picture below.

so we really have 6 faces, each one with an area of 2½ x 2½

[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 6 faces }}{6\left( \cfrac{5}{2}\cdot \cfrac{5}{2} \right)}\implies 6\cdot \cfrac{25}{4}\implies \cfrac{75}{2}\implies 37\frac{1}{2}[/tex]

The amount that Amir's car will be worth in 5 years is £9, 645. 09

From the information given, we have that;

For the first year, we have;

= £11985 × 4.25/100

= £509. 36

For the second year

= £ 11475 × 0. 0425

= £487. 71

For the third year

= £10, 987. 28 × 0. 0425

= £466. 96

For the fourth year

= £10, 520.32 × 0. 0425

= £447. 1136

For the fifth year

= £ 10. 073. 20 × 0. 0425

= £428. 111

Hence, the value is £9, 645. 09

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Answer:

Below

Step-by-step explanation:

Company 1 charges 9.25 for 2.5 pounds and 14.50 for 6 pounds

      so  (6-2.5) pounds costs (14.50 - 9.25)

                3.5 pounds cost an increase of 5.25  

                       5.25 dollars / 3.5 pounds = 1.50 per pound

Company 2 's rate is the slope of the line =   (7.25-6.50)/ 1 = .75 dollar per pound   ( found by looking at the cost of 1 pound and the cost of 2 pounds)

Fixed cost for company 2 is the value where x = 0......the y-axis intercept = $ 5.75

Answer:

Step-by-step explanation:

Company 1:  find constant rate =  Δy/Δx, from any two (x,y) pairs on the data table

Constant rate = (14.50 - 9.25) / (9.25 - 2.5) = 1.5

Company 2 constant rate = $1.50/lb

Find the fixed fee for Company 1 by finding the y-intercept.

y - y1 = m(x - x1)     Choose any (x,y) from the data table

y - 9.25 = 1.50(x - 2.5)     Now put the equation in slope-intercept form.

y = 1.50x - 3.75 + 9.25

y = 1.50x + 5.50

Company 1 fixed fee = $5.50

Company 2:  find the slope of the line to get the constant rate, pick any 2 points on the line.

m = Δy/Δx = (7.25 - 5.75) /(2 - 0) = 0.75

Company 2 constant rate = $0.75/lb

Find the fixed fee by finding the y-intercept on the graph (where the line intersects the y axis at x = 0)

Company 2 fixed fee = $5.75

Answer:

second term=14

third=25

fourth=36

Step-by-step explanation:

n= the first term in the sequence+(n-1) times the common difference between terms

here n=3, because you asking for third term, so is 25

second term=14

third=25

fourth=36

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thank

Answer: i think its B the slope is 8 and the y-intercept is -3/2 the candle starts at a height of 3/2 of an inch and decreases 8 inches every hour

i said i think so srry if you get it wrong :)

Step-by-step explanation:

The rate of change is -2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the table,

(0, 42), (1, 40) and (2, 38)

Rate of change of drone A.

= (40 - 42) / (1 - 0)

= -2/1

= -2

Thus,

-2 is the rate of change.

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On a number line, -25 is 25 units to the left of zero, while the opposite of 25 is 25 units to the right of zero.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

On both sides, the magnitude of the numbers will increase from 0 to 1.

So, based on the graph in the attached, 25 is 25 units to the left of zero on a number line.

On a number line, the opposite of 25 is 25 units to the right of zero.

Here, the opposite of -25 refers to +25, which will be 25 units to the right of zero on a number line.

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C= the total cost

9= the cost of each shirt

45= could be some other variable (donation, how much they have so far, etc.)

The mistake which Dennis made include the following: B. he didn't exclude x = 3, which makes the denominator in the original expression equal to zero.

In Mathematics, a rational expression simply refers to a type of expression  which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:

Generally speaking, the excluded values of any rational expression simply refers to the values for which the expression is undefined, which is typically obtained when the denominator is equal to zero (0).

Rational expression = (x² - 6x + 0)/(x² + x - 12)

When x = 3, we have the following expression:

Rational expression = (x² - 6x + 0)/(3² + 3 - 12)

Rational expression = (x² - 6x + 0)/(9 + 3 - 12)

Rational expression = (x² - 6x + 0)/0

Rational expression = undefined.

Therefore, excluded values are x ≠ 3 and 4.

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Answer:

Without rounding $24.58 alternately $24.95 would be a comparable price as well and would also fit the parameters.

Step-by-step explanation:

50 ÷ 6 =  8.33

$ 2.95 × 8.33 = $24.58

Note that according to the areas of the circles in square units, the circles ordered from the least to the greatest is:

To determine the correct order, we need to solve for the areas of all the circles given the various factors provided.

A) a circle with an area of 1,040.09 square units. (Area given)

B) a circle with a radius of 27 units

Area where radius is given is computed using:

A = πr²

A = π * 27²

A [tex]\approx[/tex] 2290.22

C) a circle with a circumference of 87.92 units

Since Circumference is given:

A = C²/4π

Where C = Circumference

Thus A = 87.92²/*4*π)

A [tex]\approx[/tex] 615.13

D) a circle with a diameter of 19 units.

Area, where the diameter is given, is:
A = 1/4 πd²

A = 1/4 * π * 19²

A [tex]\approx[/tex] 283.53

Thus, it is correct to state that the order of the Areas of the Circles given from least to greatest is:
Area of a circle with a Diameter of 19

a circle with a radius of 27 units.

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Full Question:

Place the circles in order from the circle with the smallest area to the circle with the largest area

* a circle with a area of 1,040.09 square units.

* a circle with a radius of 27 units

*a circle with a circumference of 87.92 units

*a circle with a diameter of 19 units.

The tip of the second hand of the clock moves a distance as far as 5.2 inches in 10 seconds.

The distance traveled by the tip of the second hand on a clock can be calculated by using the formula for circumference of a circle, which is:

C = 2πr

where C is the circumference, π is approximately equal to 3.14159, and r is the radius.

If the length of the second hand is 5 inches, then the radius of the circle is 5 inches.

Therefore, the circumference of the circle traced by the tip of the second hand is C = 2πr = 2π(5 inches) = 10π = 31.4159

If we assume that the second hand moves at a constant speed, then the distance traveled by the tip in 10 seconds is equal to the circumference of the circle multiplied by the fraction of the circumference covered in 10 seconds.

Since the second hand completes one full revolution in 60 seconds, then in 10 seconds it covers 1/6 of the circumference. Therefore, the distance traveled by the tip in 10 seconds is:

1/6 C = 1/6(31.4159 inches) = 5.23598 inches

Round off to the nearest tenth of an inch.

5.23598 inches = 5.2 inches

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