The table shows the weight of apples at a grocery store complete the table so that there is a proportional relationship between the number of apples and their weight

In order to find the equation of the line that crosses trough the given points, cionsider that the general form of a linear equation is:

y = mx + b

or

y - yo = m(x - xo)

where m is the slope of the line, b the y-intercept and (xo,yo) is a point of the line.

In order to calculate the slope of the line, use the following formula:

m = (y2 - y1)/(x2 - x1)

where, for this case, (x1,y1) = (1,-5) and (x2,y2) = (3,3). Replace these values into the formula for m:

m = (3 - (-5))/(3 - 1)

m = 8/2

m = 4

next, replace the value of m and the point (xo,yo) = (3,3) and solve for y:

y - 3 = 4(x - 3)

y - 3 = 4x - 12

y = 4x - 12 + 3

y = 4x - 9

Hence, the equation of the line is

y = 4x - 9

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

Answer:

solution

Let x = width

length = 10x-28 (28 feet less than 10 times its width)

A=l*w

A=(10x-28)

902=10x^2-28x

10x^2-28x-902=0

(10x-41) (10x+22)=0

10x-41=0

10x=41

x=41÷10

x=4.1

Now,

Length =28(4.1)-10

Therefore length =104.8

(Hope this is correct <3)

The length of the rectangle will be 104.8 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangle has a length of 28 feet less than 10 times its width. If the area of the rectangle is 902 square feet

The length of the rectangle will be calculated as below:-

Let x = width

Length = 10x-28 (28 feet less than 10 times its width)

A= L x w

A=(10x-28)

902=10x²-28x

10x²-28x-902=0

(10x-41) (10x+22)=0

10x-41=0

10x=41

x=41÷10

x=4.1

The length will be calculated as below:-

Length  = 28(4.1)-10

Length  = 104.8

Therefore, the length of the rectangle will be 104.8 feet.

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Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Answer:

h(-7) = 44

Step-by-step explanation:

h(x) = h (-7) means x= -7

h(x) = (-7)² - 5

49 - 5

44

Answer:

The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.

The circumference of the vat is 18 feet * 3.14 = 56.52 feet.

The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

1. T = 5x + 3y

2. 16 tomatoes.

Step-by-step explanation:

1. Determination of the linear expression.

Let x represent the number of pumpkin.

Let y represent the number of tomato.

Let T represent the total sales made from selling the pumpkins and tomatoes.

From the question,

1 pumpkin = $ 5

Hence,

x pumpkin = 5x

1 tomatoe = $ 3

Hence

y tomatoes = 3y

Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:

T = 5x + 3y

Where:

T is the total sales made from selling the pumpkin and tomatoes.

x is the number of pumpkin.

y is the number of tomatoe

2. Determination of the number of tomatoes sold.

Total cost (T) = $ 98

Number of pumpkin (x) = 10

Number of tomatoe (y) =?

T = 5x + 3y

98 = 5(10) + 3y

98 = 50 + 3y

Collect like terms

98 – 50 = 3y

48 = 3y

Divide both side by 3

y = 48/3

y = 16

Therefore, 16 tomatoes was sold.

Answer:

ACB=44°

DCE=35°

BCD=101°

Step-by-step explanation:

ACB is a triangle and all triangles are 180 degrees

78+58=136

180-136=44

DCE is also a triangle

85+60=145

180-145=35

a straight line is 180 degrees, we already know what the other two is.

35+44=79

180-79=101

Using proportions, it is found that you would expected the white counter to be chosen 128 times.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From the table, the proportion of the white counter is given as follows:

p = 32/(32 + 18) = 32/50 = 0.64.

Hence, out of 200 trials, the number of trials in which the white counter is expected to be chosen is given by:

0.64 x 200 = 128 times.

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The total of yes voter present in the election are 3048.

Now, for the given question;

Let the number of yes voters be 'x'.

Let the number of no voters  be 'y'.

The ratio of yes to no voters is 4:3.

Thus,

x/y = 4/3

or x = 4y/3

Now there are total 5334 voters;

Thus,

x + y = 5334

Put the value of x.

4y/3 + y = 5334

On simplification;

7y = 16002

y = 2286 (no voters)

Now, calculate 'x'.

x = 5334 - 2286

x = 3048 (yes voters)

Thus, the number of yes voters are 3048.

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Y is 1/3x +5 an equation of the line that passes through point P.

The slope of the new line will be equal to (1/3) = 1/3because perpendicular lines have slopes that are the negative reciprocals of one another.

X and Y are represented by X and Y, (x,y) is the pair of coordinates for the point, and m is the slope in this equation, which reads: Y - y = m(X-x).

Y-4 = 1/3(X-1), which leads to Y = 1/3X +1 +4 and Y = 1/3X +5.

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Answer:

Me

Step-by-step explanation:

55pts

After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Answer: 3

Step-by-step explanation: schoology whack

Answer:

Step-by-step explanation:xmccc

The correct statement for the confidence interval is C. If we took many random samples and from each computed a 95% confidence interval for mu, approximately 95% of these intervals would contain the true value of mu.

It should be noted that from the information, the 95% confidence interval for the mean (mu) of a population is computed from a random sample and found to be 9 ± 3.

Then about 95% of the confidence intervals will contain the population mean and the 95% confidence interval does not mean that 95% of the values in the sample are between the given limits.

As a result, if we took a large number of random samples and computed a 95% confidence interval for mu from each, about 95% of these intervals would contain the correct value.

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The options include:

95% of the values in the sample are between 6 and 12.

There is a 95% probability that the true mu is 9 and a 95% chance that the true margin of error is 3.

If we took many random samples and from each computed a 95% confidence interval for mu, approximately 95% of these intervals would contain the true value of mu.

There is a 95% probability that mu is between 6 and 12.

All of the presented statements are correct.

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

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The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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The graph approaches the y-axis (x = -3) and the horizontal asymptote (y = -1) but never touches them.

What is the asymptote?

A horizontal asymptote is any line of the form y=b for some real number b such that a curve given by the function f(x) approaches, but never intersects, y=b. For example, f(x)=2x f ( x ) = 2 x has a horizontal asymptote of y=0 since 2x>0 2 x > 0 for all x∈R, x ∈ R.

I assume you want to graph the function \(y = 4(1/5)^{(x+3)} - 1\). Here are the steps to graph the function:

Identify the y-intercept: To find the y-intercept, we set x = 0 and evaluate the function:

\(y = 4(1/5)^{(0+3)} - 1\) = 4(1/125) - 1 = -0.968

Therefore, the y-intercept is (0, -0.968).

Identify the asymptotes: The function has two asymptotes: a vertical asymptote at x = -3 (because the denominator of the exponential term becomes zero at x = -3) and a horizontal asymptote at y = -1 (because as x approaches infinity or negative infinity, the exponential term approaches zero and the function approaches -1).

Find additional points to plot: Choose some values of x and use the function to find the corresponding values of y. For example, when x = -4, we have:

\(y = 4(1/5)^{(-4+3)} - 1\)= 84

So one point on the graph is (-4, 84). Similarly, when x = -2, we have:

\(y = 4(1/5)^{(-2+3)}\)- 1 = -0.4

So another point on the graph is (-2, -0.4).

Plot the points and draw the curve: Plot the points from step 3 and use a smooth curve to connect them. Also, draw the asymptotes.

Hence, the graph approaches the y-axis (x = -3) and the horizontal asymptote (y = -1) but never touches them.

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Answer:

$14.55

Step-by-step explanation:

It says you bought 2 boxes of candy, each costing $3.49.

2 * $3.49 = $6.98

You also bought 1 soda, costing $4.82.

$6.98 + $4.82 = $11.80

Lastly, you bought a large popcorn, costing $5.50, but you split the cost with your friend, so you only paid half.

$5.50 / 2 = $2.75

$11.80 + $2.75 = $14.55

common denominator = 7x11 = 77

5/7 = (5x11) / (7x11) = 55/77

and

8/11 = (8x7) / (11x7) = 56/77

5/7 and 8/11 can be rewritten as 55/77 and 56/77, respectively, so that they have a common denominator of 77.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To rewrite 5/7 and 8/11 with a common denominator:

We can find the least common multiple (LCM) of the denominators 7 and 11, which is 77.

Then, we can multiply each fraction by the appropriate form of 1 so that the denominators are equal to 77.

Here are the steps:

5/7 = (5/7) x (11/11) = 55/77 (multiply the numerator and denominator of the first fraction by 11)

8/11 = (8/11) x (7/7) = 56/77 (multiply the numerator and denominator of the second fraction by 7)

Therefore, 55/77 and 56/77 are the required fractions.

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Answer:

10

Step-by-step explanation:

1/5 = 2/10

Answer:

The answer is A

Step-by-step explanation:

You can use a graphing calculator (geogebra) It works

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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The formula for finding the circumference of a circle is C = 2\(\pi\)r

It is fairly easy to find your answer using the information you have provided. All you need to do is substitute your radius into the formula I have provided above.

It'll look something like this: C = 2(3.14)(9)

Always remember that by using pi alone, you will get an answer that wouldn't be classified as correct. Use 3.14 instead.

C = 2(3.14)(9) = 56.66

Answer:

4.4 pounds in each bag

Step-by-step explanation:

divide 22 by 5 and that is how many pounds are in each bag

Answer:

Money owed to other people or banks

(Hope this helps! Btw, I am the first to answer.)