Find the value of x. Then use the answer bank below to determine the color for each region, labelled with
the values of x

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

To make a valid prediction about the mean of the population based on the sample means provided, we can examine the given data.

Looking at the sample means:

208

235

245

207

205

210

The highest sample mean is 245, so we can conclude that the mean of the population is unlikely to be greater than 245.

Therefore, a valid prediction about the mean of the population would be: The predicted mean of the population will be less than 245.

The other options, stating that the predicted mean will be less than 200, more than 275, or more than 250, are not supported by the given data.

Answer:

Step-by-step explanation:

Let the number of rooms is x.

Each room is built to hold 6 puppies, so x rooms hold 6x puppies.

The equation for this is:

And the solution is 13 rooms.

We cannot determine the center or radius of the circle based on the given information.

To find the radius of the circle passing through the point (7, 6), we need to determine the center of the circle.

Let's assume that the center of the circle is (a, b). Since the circle passes through point (7, 6), we can set up an equation using the distance formula between the center (a, b) and point (7, 6) as follows:

√((7 - a)² + (6 - b)²) = r

where r is the radius of the circle.

We can see that this equation represents the distance between the center of the circle and the point (7, 6) is equal to the radius of the circle.

We also know that the distance between the center of the circle and any point on the circle is equal to the radius. Therefore, if we can find the distance between (a, b) and another point on the circle, we can solve for the radius.

However, we do not have any other information about the circle, such as another point or the equation of the circle. Therefore, we cannot determine the center or radius of the circle based on the given information.

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Answer:

\(AB =10.8166538264\)

\(AB \approx10.8\)

Step-by-step explanation:

\(A( - 5,6),B(1, - 3)\)

\(A( - 5,6),B(1, - 3) \\ A( { x }_{ 1 } , { y }_{ 1 } ),B( { x }_{ 2 } , { y }_{ 2 } )\)

\(AB = \sqrt{( { { x }_{ 2 } - { x }_{ 1 } ) }^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } \)

\(AB = \sqrt{ {(1 - - 5)}^{2} + {( - 3 - 6)}^{2} } \)

\(AB = \sqrt{ {(1 + 5)}^{2} + { (- 3 - 6)}^{2} } \)

\(AB = \sqrt{ {(6)}^{2}+ {( - 9)}^{2} } \)

\(AB = \sqrt{36 + 81} \)

\(AB = \sqrt{117} \)

\(AB =10.8166538264\)

\(AB \approx10.8\)

A researcher studies the effect of exercise on stamina. participants are randomly assigned to be in an exercise or no-exercise group for 12 weeks. stamina is then measured by how long participants can walk comfortably on a treadmill. In this study, the dependent variable is stamina.

Variables can be categorized on the basis of their character of dependency into two types as:

independent variable : The independent variable is the cause. Its value is independent of other variables in the study.

dependent variable : The dependent variable is the effect. Its value depends on changes in the independent variable.

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Answer:

   ∠e = 32°

   ∠d = 69°

   ∠f = 79°

Step-by-step explanation:

       Angle e and 32° are vertical angles, so this means that ∠e = 32° because vertical angles are congruent.

       Next, a straight line is equal to 180°, and angle e is equal to 32°, so we can write the following equation to solve for angle f:

69° + e + f = 180° ➜ 69° + 32° + f = 180° ➜ 101° + f = 180° ➜ f = 79°

       Lastly, angle d and 69° are also vertical angles, so this means that ∠d = 69° because vertical angles are congruent.

Answer:

C

Step-by-step explanation:

39-7=32

40-7=33

41-7=34

42-7=35

The average speed on the winding road was 45 mph.

The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.

On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:

3x + 3(x + 12) = 210

Simplifying the equation:

3x + 3x + 36 = 210

6x + 36 = 210

6x = 174

x = 29

So the average speed on the winding road was 29 mph.

The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.

On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.

In summary, the average speed on the winding road was 29 mph.

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Answer:

A

Step-by-step explanation:

It shows 2.5 and then it adds 4.5 to it

Answer: A

Step-by-step explanation: Graph A shows that the small arrow is going up from 2.5 and adding 4.5 from it which equals 7. It ends at 7. The other graphs don’t represent the information given!

Given:

The functions are:

\(h(x)=x^2\)

\(k(x)=-\dfrac{1}{7}x^2\)

To find:

The transformation from the graph of h to the graph of k.

Solution:

The transformation is defined as

\(k(x)=ah(x+a)=\)                .... (1)

Where, a is stretch factor

If 0<|a|<1, then the graph compressed vertically by factor |a| and if |a|>1, then the graph stretch vertically by factor |a|.

If \(a<0\), then the graph of h(x) reflected across the x-axis.

We have,

\(h(x)=x^2\)

\(k(x)=-\dfrac{1}{7}x^2\)

It can be written as

\(k(x)=-\dfrac{1}{7}h(x)\)         ...(2)

On comparing (1) and (2), we get

\(a=-\dfrac{1}{7}<0\)

The graph of h(x) reflected across the x-axis.

\(|a|=\dfrac{1}{7}<1\)

So, the graph is compressed vertically.

It means the graph of h reflection over the x-axls and a vertical stretch to get the graph of k.

Therefore, the correct option is B.

Answer:

The answer is 48 miles.

My Logic

If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!

Answer:

The value of n based on the equation is -410.

Step-by-step explanation:

156 - n - 412 = 154

Subtract 412 from 156.

-n - 256 = 154

Add 256 on both sides of the equation.

-n = 410

Divide both sides of the equation by -1.

n = -410

So, the value of n is -410. We can check this answer by plugging it into the equation.

156 - (-410) - 412 =  566 - 412 = 154

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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Answer:

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

First we have to find slope (m) of line.

So, equation of line becomes,

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  

Step-by-step explanation:

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

First we have to find slope (m) of line.

So, equation of line becomes,

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  

Answer:

y = \(\frac{5}{2}\) x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 10) ← 2 points on the line

m = \(\frac{10-0}{0-(-4)}\) = \(\frac{10}{0+4}\) = \(\frac{10}{4}\) = \(\frac{5}{2}\)

the line crosses the y- axis at (0, 10 ) ⇒ c = 10

y = \(\frac{5}{2}\) x + 10 ← equation of line

Answer:she will have 4.44 ounces of cornstarch left

Step-by-step explanation: 1 pound=16 ounces 16*5=80 ounces 80 ounces equal 5 pounds then you divide 80 by 18 and your answer should come out as 4.44 ounces

Amount of cornstarch left is 8 ounce

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

Total amount of cornstarch = 5 pound

Find:

Amount of cornstarch left

Computation:

Amount of total cornstarch to student = Each student get × Total number of student

Amount of total cornstarch to student = 4 × 18

Amount of total cornstarch to student = 72 ounce

1 pound = 16 ounces

So,

Total amount of cornstarch = 5 × 16

Total amount of cornstarch = 80 ounces

Amount of cornstarch left = 80 - 72

Amount of cornstarch left = 8 ounce

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Answer:

PLEASE GIVE BRAINLIEST AND THANKS

700mg

Step-by-step explanation:

560 divided by 80= 7

7 x 100=700mg

Answer:

just do the other answer you know-you know-you dont know- oh well i dont know

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

since m<ETA is 36° its congruent angle m<TEA is also 36°. add the 2 together to get 72°. all triangles come out to 180° so subtract the 72 from 180 to get 108

Answer:

\(x =5\sqrt 3\)

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

\(x^2 + 5^2 = 10^2\)

Solve the exponents

\(x^2 + 25 = 100\)

Collect like terms

\(x^2 =- 25 + 100\)

\(x^2 =75\)

Take square roots

\(x =\sqrt{75\)

Expand

\(x =\sqrt{25*3\)

Split

\(x =\sqrt{25}*\sqrt 3\)

\(x =5\sqrt 3\)

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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The diagram can be drawn as,

The surface area of the base is

The lateral surface area can be determined as,

The total surface area can be determined as,

Thus, the total surface area is 20 sq km.

The main step to add rational expressions with unlike denominators is to take least common multiple of denominator and make them like before applying the required operation.

Therefore, the addition of rational expressions with unlike denominators is simplified by taking least common multiple.

The above question is incomplete, the complete question is:

Write steps for adding rational expressions with unlike denominators with example ?

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Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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In mathematics, a line's slope, also known as its gradient, is numerical representation of line's steepness and direction. The equation will be \(y= \frac{-1}{3}x +5\).

In mathematics, a line's slope, also known as its gradient, is numerical representation of  line's steepness and direction. The letter m is the frequently used to represent slope; the reason for this usage is unclear, although it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for the straight line as "\(y = mx + b\)" and "\(y = mx + c\)," respectively.

The ratio of "vertical change" to "horizontal change" between the (any) two unique points on a line is used to compute slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for every two distinct points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or design.

Let, x= -3, x1= -2, y= 5, y1= 2

Then,

slope= \(\frac{x-x1}{y-y1} = \frac{-3-(-2)}{5-2} =\frac{-1}{3}\)

now,

y= mx+c

y= \(\frac{-1}{3}\)x+ 5

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Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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MATHEMATICALLY

\(s - p = 40\)

IT SIMPLY MEANS THAT THE DIFFERENCE BETWEEN s as a large number and p as a small number is 40.