2. Solve the system by substitution. (1 point)
2x – y + z = -4
z = 5
-2x + 3y - 2 = -10
O(-8,7,5)
O(-8. -7,5)
O(8, -7,5)
O(-8, -7,-5)

Hi,

Answer:

48 cm

Step-by-step explanation:

14 + x = 62

62 - 14 = 48

x = 48 cm

Have a good one!

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Speed of the given object in centimeters per hour

= 0.23 cm / hour

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

The complete graph with 100 vertices will have \(\( \binom{100}{2} = 4950 \)\)edges. Therefore, the correct option is (a) 4950. A connected graph with 100 vertices must have at least 99 edges.

1. A complete graph with 100 vertices means that there is an edge between every pair of vertices. The number of edges in a complete graph with n vertices is given by the formula \(\( \binom{n}{2} = \frac{n(n-1)}{2} \)\). Substituting n = 100, we get\(\( \frac{100 \cdot 99}{2} = 4950 \)\) edges.

2. In a connected graph with n vertices, the minimum number of edges required to ensure connectivity is n - 1. Therefore, a connected graph with 100 vertices must have at least 99 edges.

3. The given algorithm has a loop that divides the value of k by 2 in each iteration. As long as k is greater than or equal to 1, the loop continues. Since the value of k is halved in each iteration, the loop will run approximately \log ntimes. Therefore, the complexity of the algorithm is \(\( O(\log n) \)\).

4. The Minimum Spanning Tree algorithm is a Greedy method because it makes locally optimal choices at each step to construct the minimum spanning tree.

5. A graph is called connected if there is a path between every pair of vertices. Therefore, if a graph has a path between each two vertices, it is a connected graph.

6. NP-Complete problems are a subset of problems in the NP-class and are also NP-Hard. Therefore, any problem in the NP-Complete class is in both NP-class and NP-Hard class.

7. The algorithm with linear complexity is the Max is in-place Algorithm, which finds the maximum element in an array by comparing each element with the current maximum and updating it if necessary.

8. The worst-case time complexity of Insertion Sort is\(\( O(n^2) \)\) because in the worst case, for each element, it may need to be compared and shifted with every element to its left.

9. Dijkstra's algorithm is an example of the Greedy method for finding the shortest path in a graph.

10. The correct option is not provided for question 10, as none of the given options

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Answer:

23

Step-by-step explanation:

15, 17, 19, 21

Find the next term

_______________

Looking at the four numbers, we need to find a pattern within them, as we can see, there is 15 that goes to 17, which follows with 17 going to 19.

The sequence here is x + 2.

Every number gets added by two to get the next term.

Therefore we will need to add 2 to 21 to get our answer :

21 + 2

23

Answer:

23

Step-by-step explanation:

you add 2 everytime and i made a 100% on quiz!

In the context of Range Safety and Risk Mitigation, the ability to detect, assess, and respond to potential hazards is essential.

Range safety and risk mitigation involve identifying and minimizing potential hazards associated with range operations, such as the launch or test of rockets, missiles, or unmanned aerial vehicles. To ensure safety, it is critical to have the ability to detect and assess potential hazards, such as debris, vehicle or equipment malfunctions, and human error. Once hazards have been identified and assessed, the next step is to develop and implement appropriate safety measures to mitigate the risk associated with those hazards. These measures may include the use of safety protocols, engineering controls, or administrative procedures to ensure that all personnel and equipment are protected. In summary, the ability to detect, assess, and respond to potential hazards is critical for effective range safety and risk mitigation. By implementing appropriate safety measures and protocols, the risks associated with range operations can be minimized, ensuring the safety of personnel and equipment.

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Answer:balls

Step-by-step explanation:

balls

Answer:

I think its 7 but im not sure

Answer:

7

Step-by-step explanation:

K is the midpoint of JL, so half of 14is 7

Answer:

5 inches per hour

Step-by-step explanation:

Answer:

1.5 inches per hour

Step-by-step explanation:

It will take 5.71 hours for Pam and Erin to be 14 miles apart.

Now, If Pam and Erin start at the same point and rollerblade in different directions, then the total distance between them at any given time can be represented by the Pythagorean Theorem.

The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

Let x represent the number of hours it takes for Pam and Erin to be 14 miles apart.

Then, the distance traveled by Pam will be 2x, and the distance traveled by Erin will be 4x.

Using the Pythagorean Theorem, the equation that represents the distance between them can be written as,

⇒ 2x² + 4x² = 14²

⇒ 6x² = 196,

which can be written as,

⇒ x² = 32.75.

Taking the square root of both sides, we get,

⇒ x = 5.71.

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Complete question is,

Pam and Erin start at the same point and begin rollerblading in different directions. Pam is rollerblading west at a speed of 2 miles per hour. Erin is rollerblading north at a speed of 4 miles per hour. After how many hours will they be exactly 14 miles apart? Round your answer to two decimal places

The given integral ∫(-2 to 1) x^2 dx converges and its value is 3.

To determine if the integral converges or diverges, we evaluate the definite integral ∫(-2 to 1) x^2 dx.

Integrating x^2 with respect to x, we get (1/3) x^3. Evaluating the definite integral over the given bounds, we have:

(1/3) [x^3] from -2 to 1.

Substituting the bounds into the antiderivative expression, we get:

(1/3) [1^3 - (-2)^3] = (1/3) [1 - (-8)] = (1/3) [9] = 3.

Since the value of the integral is a finite number (3), we conclude that the given integral converges. The definite integral has a finite value when evaluated over the interval from -2 to 1.

Therefore, the given integral ∫(-2 to 1) x^2 dx converges and its value is 3.

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Answer:

it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

A quadratic function is represented as:

y = a(x - h)^2 + k

Question #6

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

Question #7

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

Question #8

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

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Answer:

130°

Step-by-step explanation:

20° + 30° =50°

a triangles full angle is 180°

180° - 50° = 130°

The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

I can help but I need better pic

The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.

The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

f(0) = 10 = a(0) + b

Putting x = 1 in the equation, we get:

f(1) = 20 = a(1) + b

Solving these two equations simultaneously, we find:

a = 10

b = 0

So, the equation for f is:

f(x) = 10x + 0 = 10x

Using this equation, we can find the missing entries for f(x) in the table:

f(2) = 10x = 10(2) = 20

f(3) = 10x = 10(3) = 30

f(4) = 10x = 10(4) = 40

So the missing entries for f(x) are 20, 30, and 40.

To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

g(0) = 10 = a(1)^0 = a

So, a = 10.

Putting x = 1 in the equation, we get:

g(1) = 20 = 10b

Solving for b, we find:

b = 2

So, the equation for g is:

g(x) = 10(2^x)

Using this equation, we can find the missing entries for g(x) in the table:

g(2) = 10(2^2) = 10(4) = 40

g(3) = 10(2^3) = 10(8) = 80

g(4) = 10(2^4) = 10(16) = 160

So the missing entries for g(x) are 40, 80, and 160.

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--The given question is incomplete; the complete question is

"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries.                                                                                    x      0  1  2  3 4                                                                                                                                             f(x)  10 _ 20 _ _                                                                                                                                 g(x) 10 _ 20 _ _"--

Step-by-step explanation:

14(3.8) ×3 + 2(1/2)×3×4

= 159.6 + 12

= 171. 6

For the given question there are always 425 skiers on the chair lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope. The ride from the bottom to the top takes 15 minutes. We have to determine the number of skiers who are riding on the lift at any given time.

There are a few steps that we can take to solve this problem:

Step 1:Calculate how long the trip is from top to bottom:

The trip from bottom to top takes 15 minutes.

Therefore, the trip from top to bottom would take the same amount of time.

Step 2:Calculate how many trips the lift makes in an hour:

We have to convert 1 hour to minutes.1 hour = 60 minutes

Therefore, 1 hour = 60/15 = 4 trips from top to bottom

Step 3:Calculate how many skiers are riding on the lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope.

So, every 15 minutes, 425 skiers are unloaded at the top.

Since the lift takes 15 minutes to make one trip, there are always 425 skiers on the lift at any given time.

There are always 425 skiers on the chair lift at any given time.

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Being afraid of the unknown prevents Hamlet from using death as a solution to end his difficulties.

This is how Hamlet's view of death changes throughout the play.

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A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.

To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.

Value of sales = Total cost of good A + Total cost of good B Total cost of good A

= Number of units of good A sold x Cost of each unit of good A Total cost of good A

= 120 x $4Total cost of good

A = $480

Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good

B = 340 x $5

Total cost of good B = $1,700

Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700

Value of sales = $2,180

Therefore, the value of sales was $2,180.

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Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Call center A and B offers equal wages.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The formula for wages = P/t

First, P= 15 dollars

           = 1500 cents

time= 1 hour= 60 minutes

then, the unit rate is

=1500/60

= 25 cents/ min

Second, P= 25 cents

time= 1 minutes

then, the unit rate is

=25/1

= 25 cents/ min

Hence, Call center A and B offers equal wages.

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The diameter of the hemisphere with a volume of 557 m³ is approximately 12.8 m, to the nearest tenth of a meter.

The volume of a hemisphere can be calculated using the formula V = (2/3)πr³, where V is the volume and r is the radius. Given that the volume of the hemisphere is 557 m³, we can find the radius by solving for r:

557 = (2/3)πr³

To find the radius, first, we need to isolate r³ by multiplying both sides by 3/(2π):

r³ = (3 * 557) / (2 * π)

r³ ≈ 265.18

Now, take the cube root of both sides to find the radius:

r ≈ 6.4 m

To find the diameter, simply multiply the radius by 2:

d ≈ 2 * 6.4
d ≈ 12.8 m

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Factor of 6x⁵ – 2x⁴ – 60x³ – 70x²+54x+72: are 2(x−1) (3x+2x³ – 28x² – 63x – 63)

A polynomial with coefficients in a specific field or in integers is expressed as the result of irreducible components with coefficients in the same domain using polynomial factorization. The polynomials that are multiplied to create the original polynomial are the factors in the case of polynomials. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3.

615 - 2x-60x³- 70x² +54 +72

Factor out common term 2:

2(3x⁵-x⁴-30x³ - 35x² +63)

Factor 3x⁵ - x⁴ - 30x³ – 35x²+63:

(x-1) (3x² + 2x³ — 28x² – 63x – 63) -

=2(x − 1 ) (3x⁴ + 2x³ – 28t² – 63x – 63)

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Hello!

1/6 ≈ 0.167

the answer is 0.167

The post-split market capitalization of Walnut Creek Inc. is $12995089.

Given that, Walnut Creek Inc. is going to do a revers stock split with a 3:4 ratio. The current price per share is $234.75 and the current number of outstanding shares is 38,750,000.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+4 = 7

Now, 1/7 × 38,750,000

= 5535714 .29 shares

So, capitalization is 5535714 × 234.75

= $12995089

Therefore, The post-split market capitalization of Walnut Creek Inc. is $12995089.

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Answer:

( 2, 1 )

Step-by-step explanation:

- 2x - 3y = - 7

- 3y = 2x - 7

y = - \(\frac{2}{3}\) x + \(\frac{7}{3}\)

( - 1, 3 ), ( 5, - 1 )