Select the best method of finding an accurate solution to a system of linear equations.

A:use algebraic methods
B:graph the lines
C:guess and check

Answer:

They are all equal sides so divide 180 by 3

Step-by-step explanation:

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

Answer:

78.4

Step-by-step explanation:

4= √([2d)/9.8]

you square both sides to eliminate the square root so you get

4^2=√([2d)/9.8] ^2

16=2d/9.8

then you multiply both sides by 9.8 and you get

156.8=2d

then you divide both sides by 2 to leave d by itself and get

d=78.4

Answer:

4,365

Step-by-step explanation:

97% of 4500 = 4,365

Answer:

4,365

Step-by-step explanation:

number of hot chocolate sold in February=4500

the number of chocolate sold in March was 3% less

3% of 4500

= 3/100× 4500

= 0.03× 4500= 135

since the number of hot chocolate sold In February is 3% less, it will be 4500-135= 4,365

Answer:

x=4.6

Step-by-step explanation:

Because we are finding C, first use the distributive property.

33-(2c+4)=2(c+7)+c can turn into:

33-2c+4=2c+14+c

Now, combine like terms.

33+4=37

2c+c=3c

Now you are left with:

37-2c=3c+14

Now, add 2c on both sides.

37=5x+14

Next, subtract 14 on both sides.

37-14=23

23=5x

Finally, divide by 5 on both sides

x=4.6

The domain for the function in this problem is given as follows:

0 ≤ x ≤ 5.

The domain of the function in this problem is the number of hours, which is represented by numbers between 0 and 5, as the hours cannot be negative and they played for 5 hours, hence the interval is given as follows:

0 ≤ x ≤ 5.

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180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

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The given set of functions are not linearly independent.

Given,

\(f_{1} (x) = x\\f_{2} (x) = x^{2} \\f_{3} (x) = 6x-2x^{2}\)

We need,

\(c_{1} f_{1} (x)+c_{2} f_{2} (x)+c_{3} f_{3}(x)=0\)

Substituting the values in equation we get,

\(c_{1} x+c_{2} x^{2} +c_{3} (6x-2x^{2} )=0\\\)

Computing the equation we get,

\(c_{1} x+c_{2} x^{2} +c_{3} 6x-c_{3} 2x^{2}=0\)

\((c_{1} +6c_{3} )x+(c_{2} -2c_{3} x^{2} =0\)

This resolves to two equations

\((c_{1} +6c_{3})x =0\\(c_{2} -2c_{3} )x^{2} =0\)

These will have an infinite set of solutions:

\(c_{1} =-6c_{3} \\c_{2} =2c_{3}\)

Two functions are said to be linearly independent if neither function is a constant multiple of the other.

Here, it is clear that the given functions are not linearly independent.

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Answer:

2/34

Step-by-step explanation:

Answer:

The slope of the blue line is undefined

Step-by-step explanation:

This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept

A dependent variable is the variable that being check in a scientific experiment.

The dependent variable is "dependent" on the other independent variable. As the experimenter alter the independent variable, the change in the dependent variable is observed and recorded. When you take data in an experiment, the dependent variable is the one being advised.

A scientist is testing the effect of light and dark on the efforts of moths by turning a light on and off. The independent variable is the amount of light and the moth's reply is the dependent variable.

A change in the independent variable (total amount of light) straight source a change in the dependent variable (moth behavior).

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a) Write an expression to describe the journey of the yellow submarine.

-> ((0 - 40) + 30) - 25

[] Sea level = 0

[] The descend 40 meters = -40

[] After examining the sea, they rose 30 meters = + 30

[] They dove 25 meters to look at an octopus = -25

b) At what depth did they stop to look at the octopus?

-> -35 meters

[] The started at 0 (0), descended 40 (-40), rose 30 (-10), and then sove 25 (-35) to see the octopus

[] Another way to think of this is to simplify our previous expression completely

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Given that a quality inspector took five samples, each with four observations (n = 4), of the length of time for glue to dry. All values are in minutes.

To obtain three-sigma (i.e., z = 3) c, we can use the formula of the standard deviation of the sample, which is: Where, is the value of the observation.$\bar{x}$ is the mean of the sample is the sample size.Using the given data, the sample mean can be calculated as follows:

Now, we can calculate the sample standard deviation Thus, three-sigma (i.e., z = 3) can be calculated as follows: $$3\sigma = 3s = 3(0.3752) = 1.1256$$Hence, the required answer is 1.1256.

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Answer:d

Step-by-step explanation:it makes a straight line

Answer:

c is the answer

The third one

Step-by-step explanation:

it goes down by -8

Answer:

5.6%

Step-by-step explanation:

1) Find the difference between the initial and final values

In this case, a man's hourly wage increased from $12.50 to $13.20. The difference between the hourly wages is $13.20 - $12.50 = $0.70.

2) Divide the difference by the initial value

$12.50 is the initial hourly wage

($0.70 ÷ $12.50) = 0.56

3) Convert the quotient to a percentage

0.56 x 100 = 56%

The man's hourly wage increased by 56%.

Hope this helps, have a great day!

The percentage is the change with respect to the original amount increase in his hourly wage between year 1 and year 2 will be 5.6%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given,

The hourly wage in year 1 = $12.50 an hour

The hourly wage in year 2 = $13.20 an hour

Percentage = change / initial

Percentage = (13.20 - 12.50)/12.50

Percentage = 0.7/12.50

Percentage = 0.056

⇒ 0.056 × 100 = 5.6%

Hence "The percentage is the change with respect to the original amount increase in his hourly wage between year 1 and year 2 will be 5.6%".

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Answer:

Step-by-step explanation:

Answer for this question is option (c) 0.2344

Approach:

The probability of getting a Head in single toss

x= 1/2

The probability of not getting a Head in single toss

y= 1 - 1/2 = 1/2

Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses

= ⁶C₂ * (1/2)² * (1/2)⁶⁻²

= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)

= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)

= 15/64

= 0.234374

= 0.2344 (Round off value)

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Given:

A fair coin is tossed 6 times.

To find:

Probability that you will toss exactly 2 heads.

Probability that you will get a head in a single toss is: Q = 1/2

Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2

We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)

Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²

Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)

Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)

Probability = 15 / 64

Probability = 0.234374

Probability = 0.2344

Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344

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its a ratio i think .......

Answer:

Step-by-step explanation:

34.4 feet

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.

Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.

For example:

- Multiplying two positive integers: 3 * 4 = 12

- Multiplying a positive and a negative integer: (-5) * 6 = -30

- Multiplying two negative integers: (-2) * (-8) = 16

- Multiplying an integer by zero: 9 * 0 = 0

In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.

It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.

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An integer multiplied by an integer is an integer. True or False?

Answer:

all of them.

Step-by-step explanation:

Hope this helps!

<3

~nxmbus

The probability that Burt allowed a total of 2 or more walks and hits in one inning is approximately 0.363 or 36.3%.

To solve this problem, we can use the Poisson distribution, which is commonly used to model the number of events occurring in a fixed amount of time or space. In this case, we can use it to model the number of hits and walks allowed by Burt in a randomly selected inning.

Let λ be the expected number of hits and walks allowed by Burt in one inning. We can find λ using the given whip:

whip = (walks + hits) / innings pitched

1.271 = (walks + hits) / 1

walks + hits = 1.271

So, λ = 1.271.

Now, we want to find the probability that Burt allowed a total of 2 or more walks and hits in one inning. Let X be the number of hits and walks allowed by Burt in one inning. Then, we want to find P(X ≥ 2).

Using the Poisson distribution, we have:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

where

P(X = k) = (e^(-λ) × λ^k) / k!

So, we need to calculate P(X = 0) and P(X = 1):

P(X = 0) = (e^(-λ) × λ⁰) / 0! = e⁽⁻¹.²⁷¹⁾ = 0.280

P(X = 1) = (e^(-λ) × λ¹) / 1! = e⁽⁻¹.²⁷¹⁾  1.271 = 0.357

Therefore,

P(X ≥ 2) = 1 - P(X < 2) = 1 - (P(X = 0) + P(X = 1)) = 0.363

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Answer:

2.33

Explanation:

First find the mean:

1 + 10 + 7 + 6 + 4 + 8 = 36

36 / 6 ( there are 6 total numbers) = the mean is 6

Then subtract the mean from each number:

1 - 6 = -5

10 - 6 = 4

7 - 6 = 1

6 - 6 = 0

4 - 6 = -2

8 - 6 = 2

(don't worry about the negatives)

5 + 4 + 1 + 0 + 2 + 2 = 14

14 / 6 ( again, there are 6 total numbers) = 2.33

Opposite angles of a parallelogram are equal

Hence

x + 70 = 70

Therefore

x = 70 - 70

x = 0;

Answer:

(3 houses/acre)(100 acres)(.5) =

150 houses

The remaining land is 50 acres (100-50), and the builder plans to build three houses per acre. So, the number of houses that can be built on this property is (50 x 3) = 150 acres.

First, let's determine how much of the 100-acre plot is left for building houses after setting aside land for the school, playground, roads, drainage ditches, sidewalks, and the strip shopping area with parking and buffer.

1. School and playground: 20% of 100 acres = 0.20 * 100 = 20 acres
2. Roads, drainage ditches, and sidewalks: 15% of 100 acres = 0.15 * 100 = 15 acres
3. Strip shopping area with parking and buffer: 15% of 100 acres = 0.15 * 100 = 15 acres

Now, add up these reserved areas: 20 acres + 15 acres + 15 acres = 50 acres

The builder has set aside 20 acres for the school and playground, 15 acres for roads, drainage ditches, and sidewalks, and another 15 acres for the strip shopping area with parking and buffer. Therefore, the total area that has been allocated is 50 acres (20+15+15).

Subtract the total reserved area from the total plot area to find the area available for building houses: 100 acres - 50 acres = 50 acres

Since the builder plans to build three houses per acre, we can multiply the available area by the number of houses per acre: 50 acres * 3 houses/acre = 150 houses

The builder can build 150 homes on this property.

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Answer:

true

Step-by-step explanation:

multiply by 3

Answer:

18.43 is the correct answer when rounded to the hundreds place. when roumded to the tenths it is 18.4

1) Remainder is 2 and sum of 4 consecutive square numbers is divisible by 4.

2) Their difference will be divisible.

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor).

1. Suppose the a random number is x and 4 consecutives number are x, x+1, x+2, x+3

Given that,

x² + (x+1)²+ (x+2)²+ (x+3)²

x² + (x² +2x+1) + (x² +4x+4)+ (x²+6x+9)

4x² + 12x + 14

is divisible by 4 with remainder 2

\($ \frac{4x^2 + 12\text x + 14}{4} $\)

\($ \frac{4x^2 + 12\text x + 12 +2}{4} $\)

\($ \frac{4x^2 + 12\text x + 12 }{4} $\) \($+\frac{2}{4}\)

Hence proved, remainder is 2 and sum of 4 consecutive square numbers is divisible by 4.

2. As both 14 and 21 is divisible by seven, their difference is also divisible by 7, i.e. 70-42 = 28, all the numbers are divisible by 7 and hence the squares of the number are also divisible by seven as well as their numbers.

14²⁰ - 21²

(7 × 2)²⁰ - (7 × 3)²

Thus, their difference will be divisible.

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