For the following pair of lines, Identify the system by type.
consistent
inconsistent
equivalent

The linear equation that representing the given model is 6x-3 = 15.

In the given question, we have to choose the equation represented by the model given below.

As we know that;

A linear equation represent the relationship between the two unknown variable. The equation of linear equation is of one degree.

The simplest linear equation shows the correlation between (x,y), which may then be used to make a table or a graph on the coordinate plane or to assess at a specific x or y value.

To write the equation that represented by the given model, we count the variable that are of the same type. Then we write them after counting.

As we can see that in the model have 6 triangles of x, 3 circles of -1 and 15 circles of 1. So the linear equation that representing the given model is 6x-3 = 15.

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\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)

\({\texttt{{Hello}}}\)

\(\gray{\boxed{{\textsf{trouble}}}}\)

\(-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\ \)

\(\green{\boxed{{\textsf{Development}}}}\)

\(-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\ \)

\(-y^{2}-3x^{3}-6y^{2}+5-2-x^{3} \\ \)

\(-y^{2}-3x^{3}-6y^{2}+3-x^{3} \\ \)

\(-y^{2}-4x^{3}-6y^{2}+3 \\ \)

\(-7y^{2}-4x^{3}+3 \\ \)

\(\red{\boxed{{\textsf{Answer}}}}\)

\(-7y^{2}-4x^{3}+3 \\ \)

\(\red{\texttt{{\textsf{XxXDxX}}}}\)

\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)

Answer: f(-3)=g(-3)

Step-by-step explanation:

The graphs intersect at x = -3.

The correct option is f(-3) = g(-3).

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that two lines are intersecting at point (-3, -4)

Therefore the system of equations of these two have a solution at (-3, -4)

So, if taking the lines as function,

We have f(x) and g(x),

so both of them are intersecting at (-3, -4) so the range when the domain is -3 will be equal.

Hence the correct option is f(-3) = g(-3).

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Answer:

x = 7

Step-by-step explanation:

x + 4 > 2x - 3

x by itself = 1x

1x + 4 > 2x - 3

Subtract 1x

1x - 1x + 4 > 2x - 1x -3 =

4 > 1x -3

Add 3

4 + 3 > 1x -3 +3 =

7 > 1x

1x is the same as x

7 = x

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the hotel charges in the two cities. The relations we are given are ...

  x - y = -1500 . . . . . . second city hotel charge was 1500 more

  0.03x +0.095y = 580 . . . . . total tax paid was 580

Using the first equation, we can write an expression for x:

  x = y -1500

Substituting that into the second equation gives ...

  0.03(y -1500) +0.095y = 580

  0.125y = 625 . . . . . . . add 45 to both sides and simplify

  y = 5000 . . . . . . . . . . multiply by 8

  x = 5000 -1500 = 3500

The hotel charges were ...

  First city: $3500

  Second city: $5000

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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Step-by-step explanation:

-6,-2,0,4,8

this is the answer

Answer:

Step-by-step explanation:

The first step to solving this problem is to simplify the contents inside the brackets. Since all the terms are multiplied together, you can cancel the fraction separately between the numerator and denominator. Let's start with the x terms.

The division law of exponents states that when exponents with the same base are divided, the exponents are subtracted.

This means to simplify the x terms we have:

\(\frac{x^{-4} }{x^{3}} =x^{-4-3}=x^{-7}\)

This means the overall problem now looks like this:

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

Now we can repeat that with the y term:

\(\frac{y^{7} }{y^{2}} =y^{7-2}=y^{5}\)

Now our complete problem only has one fraction in the brackets which we can simplify if we wish:

\((\frac{2}{3}x^{-7}y^{5}) ^{3}\\OR\\(0.67x^{-7}y^{5}) ^{3}\\\)

Now we can finish the problem by raising every term inside the brackets to the power of 3. Raising an exponent to an exponent multiplies them together so our equation is now here:

\(\frac{2}{3}^{3} x^{-7*3}y^{5*3}\\OR\\0.67^{3} x^{-7*3}y^{5*3}\)

After multiplying and simplifying we are left with the answer:

\(\frac{8}{27}x^{-21}y^{15}\\OR\\0.3x^{-21}y^{15}\)

(1dp)

Negative exponents mean they are positive as a denominator so:

\(\frac{0.3y^{15} }{x^{21} }\)

Also works as an answer

Hope this helped!

Answer:

0.9375 | 93.75%

Step-by-step explanation:

g o o g l e

for the percent times the decimal by 100 and for the decimal just divide the fraction by it self so 15 divided by 16

Answer:

0.9375

93/75%

Step-by-step explanation:

Perform the division:

15 / 16 = 0.9375

and then find the percent form by multiplying this result by 100:

0.9375 * 100 = 93.75%

Answer:

I assume around 700 people vist the zoo

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

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Answer:

12

Step-by-step explanation:

\(\dfrac{13+11}{13-11}=\dfrac{24}{2}=12\)

Hope this helps!

Answer:

one property of log is that if the log expressions have the same base (in this case, 2), then you can multiply the added logs.

The answer would then be D

The subsets of {5, 6} are

• { } (empty set)

• {5}

• {6}

• {5, 6}

Answer:

trapezium maybe

Step-by-step explanation:

plzz mark me brainliest, need it to level up

Answer: 13/69

Step-by-step explanation:

13 students are female and got a B out of a total of 69 students, so the probability is 13/69

The exponential model that best represents the data is f(x) =5 (0.2)x

Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x

where

a is the base

x is the exponent

Using the coordinate points (-2, 128) and (-1, 27)

Substitute

128 = ab^-2
27 = ab^-1

128/27 = b^-2/b^-1

128/27 = b^-1

b = 27/128

Determine the value of a

y = ab^x

27 = a(27/128)^-1

27 = 128/27a
128a= 27 * 27

128a = 729
a= 5.69

Hence the exponential model that best represents the data is f(x) =5 (0.2)x

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The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Answer:

I'm pretty sure Dave is correct

Step-by-step explanation:

Answer:

45 feet

Step-by-step explanation:

1 yard = 3 feet

15 x 3 = 45

Let:

x = Number we want to find

Express 36% as a decimal:

36% = 36/100 = 0.36

Now:

To construct a square inscribed in a circle we will follow the next steps:

Step 1. Construct a circle and label its center point O:

Step 2. Now, we use a straightedge to draw a diameter with end-points A and B:

Step 3. We construct a perpendicular line to the diameter with endpoints C and D:

Step 4. We join the points:

And thus we get the square inscribed in a circle.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

\(Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\\)

                          \(= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08\)

\(test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25\)

Degrees of freedom

\(= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174\)

Considering a degree of 5% importance

T for df critical value = 174 and sig level = 0.05 is +1.973

Let area of refusal shall be  t < -1.973 or t > +1.973

Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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