Please help is there an association?????

Answer:

300g for 7.49 has the best value

Step-by-step explanation:

200g for 5.69

200/5.69

35.15g for 1

300g for 7.49

300/7.49

40.05g for 1

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

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Point D's coordinates are mathematically given as: ( -0.5, 0.25 ).

The meaning of coordinate geometry.

What are the coordinates of D if n=5?

A coordinate plane is a flat, two-dimensional surface formed by the intersection of the x- and y-axes. The use of a collection of numbers to precisely locate points is called a "coordinate system" in geometry.

From C(2.5, 1.25) to E(5, 15), with n = 5, point D is 1/n of the way.

Point D will have these coordinates:

D = (1 / n) C

= ( 1 / n ) ( -2.5 , 1.25 )

= (1 / 5) ( -2.5 , 1.25 )

= ( -0.5 , 0.25 )

In conclusion, point D coordinates are ( -0.5, 0.25 ).

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3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line \(\left(10,8\right) and \left(4,12\right)\)

The slope of the line formula is:

\(m = \frac{y₂ - y₁}{ x₂ - x₁}\)

Let's substitute our numbers.

\(m = -\frac{8 -12}{4-10}\)  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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Answer: i cheated last year so i dont remember any of this

Step-by-step explanation:

Answer:

p= 77

Step-by-step explanation:

The numbers in the cards are:

From the question, we have the following parameters that can be used in our computation:

Cards = 45, 45 and 46

Next, we have

Multiples of 2, 3 and 4

Using the above as a guide, we have the following:

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Using trigonometric ratios the approximate horizontal distance from the observatory to the island is option A: 322 feet.

What is trigonometric ratio?

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

We can use trigonometry to solve this problem.

Let's call the horizontal distance from the observatory to the island "x".

Since we know the opposite side (150 ft) and the angle of depression (25 degrees), we can use the tangent function -

tan(25) = opposite / adjacent

tan(25) = 150 / x

Solving for x, we get -

x = 150 / tan(25)

Using a calculator, we find that -

x ≈ 322 feet

Therefore, the horizontal distance value is 322 feet.

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Answer:

Step-by-step explanation:

Using trigonometric ratios the approximate horizontal distance from the observatory to the island is option A: 322 feet.

What is trigonometric ratio?

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

We can use trigonometry to solve this problem.

Let's call the horizontal distance from the observatory to the island "x".

Since we know the opposite side (150 ft) and the angle of depression (25 degrees), we can use the tangent function -

tan(25) = opposite / adjacent

tan(25) = 150 / x

Solving for x, we get -

x = 150 / tan(25)

Using a calculator, we find that -

x ≈ 322 feet

Therefore, the horizontal distance value is 322 feet.

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Answer:

See below

Step-by-step explanation:

\( {5}^{2} - {1}^{2} \times {2}^{2} \\ \\ = 25 - 1 \times 4 \\ \\ = 25 - 4 \\ \\ = 21 \\ \\ \\ {7}^{2} + {4}^{3} \div {2}^{5} \\ \\ = {7}^{2} +( {2}^{2} )^{3} \div {2}^{5} \\ \\ = {7}^{2} + {2}^{2 \times 3} \div {2}^{5} \\ \\ = {7}^{2} + {2}^{6} \div {2}^{5} \\ \\ = {7}^{2} + {2}^{6 - 5} \\ \\ = 49 + {2}\\ \\ = 51\)

The correct option is a b c d.

fd = 2,809

We need to round the given answers to the nearest hundredth.

a. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

b. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

c. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

d. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

Therefore, the correct option is a b c d.

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:

sin² A = (1 - cos 2A)/2

cos² A = (1 + cos 2A)/2

Proof LHS → RHS:

LHS:                          sin⁴ A

Expand:                     sin² A · sin² A

\(\text{Half-Angle:}\qquad \qquad \bigg(\dfrac{1-\cos (2A)}{2}\bigg)\bigg(\dfrac{1-\cos (2A)}{2}\bigg)\)

\(\text{Distribute:}\qquad \qquad \dfrac{1-2\cos (2A)+\cos^2 (2A)}{4}\)

\(\text{Half-Angle:}\qquad \qquad \dfrac{1-2\cos (2A)+\frac{1+\cos (2\cdot 2A)}{2}}{4}\)

\(\text{Simplify:}\qquad \qquad \dfrac{\frac{2}{2}[1-2\cos (2A)]+\frac{1+\cos (4A)}{2}}{4}\)

                         \(=\dfrac{2-4\cos (2A) + 1 + \cos (4A)}{8}\)

                         \(=\dfrac{1}{8}\bigg(3-4\cos (2A)+\cos (4A)\bigg)\)

LHS = RHS  \(\checkmark\)

Let's start from LHS...

LHS = sin^4A = sin^2A * sin^2A

We can apply a few formulas here;

cos 2A = 1 - 2sin^2A

sin^2A = (1 - cos2A) / 2

cos2A = 2cos^2A - 1

cos^2A = (1 + cos2A) / 2

According to the second formula, sin^2A * sin^2A = (1 - cos2A) / 2 * (1 - cos2A) / 2.

(1 - cos2A) / 2 * (1 - cos2A) / 2 = 1/4(1 - cos2A)^2

We can simplify "(1 - cos2A)^2." Remember that (a - b)^2 = a^2 - 2ab + b^2. Similarly (1 - cos2A)^2 = (1 - 2cos 2A + cos^2 2A);

1/4(1 - cos2A)^2 = 1/4(1 - 2cos 2A + cos^2 2A)

According to the fourth formula, cos^2 2A = (1 + cos4A) / 2;

1/4(1 - 2cos 2A + cos^2 2A) = 1/4(1 - 2cos 2A + (1 + cos4A) / 2)

= (taking LCM) 1/4( (2 - 4cos 2A + 1 + cos4A)/2 )

= (simplified) 1/8(3 - 4cos 2A + cos 4A)

Answer: 5.83.....

The dots mean the 3 continues

Step-by-step explanation:

Answer:

absolute value

Step-by-step explanation:

an absolute value is the distance of a quantity from zero

Answer:

Step-by-step explanation:

integers between and including −5 and 5. Notice that the positive integers go to the right: 1, 2, 3, and so on. The negative integers go to the left: −1, −2, −3, and so on. The distance between a number's place on the number line and 0 is called the number's [absolute value].

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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The correct representations of the inequality [{–3(2x – 5)} < 5(2 – x)] will be [(x - 5) < 0].

As per the question statement, we are provided with an inequality of        [{–3(2x – 5)} < 5(2 – x)],

And we are required to determine the correct simplified representation of the above mentioned inequality.

To solve this question, we need to simplify the inequality by bringing the like terms to the same side of the indicator symbol, and perform on both the Right Hand Side (RHS) and Left hand Side (LHS) of the same like we do in an equation, that is,

[{–3(2x – 5)} < 5(2 – x)]

Or, [{(-3) * 2x} - {(-3) * 5}] < [(5 * 2) - (5 * x)]

Or, [{(- 6x) - (-15)} < (10 - 5x)]

Or, [{(-6x) + 15} < (10 - 5x)]

Or, [(15 - 6x) < (10 - 5x)]

Or, [(6x - 5x) < (15 - 10)]

Or, (x < 5)

Or, [(x - 5) < 0]

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Answer:

\(f(x)=500*(.057)^x\)

Step-by-step explanation:

Answer: (3, -3) (6, -9) (9, -3)

Step-by-step explanation:

The correct statement is "Each point on the​ least-squares regression line represents the predicted y-value at the corresponding value of x". Thus, Option C is correct.

A least-squares regression line is a mathematical model that is used to predict the value of a dependent variable (y) based on the value of an independent variable (x). The regression line is created by fitting a line to the data set that minimizes the differences between the actual y-values and the predicted y-values (the line).

Each point on the regression line represents the predicted y-value for a given value of x. In other words, if we know the value of x, we can use the regression line to predict the value of y that is most likely to occur based on the data set. The least-squares regression line is a useful tool for understanding the relationship between two variables and making predictions about future values.

A is incorrect because it states that each point on the least-squares regression line represents the actual y-value of the data set at that corresponding value of x, which is not necessarily the case. The regression line is a model that predicts y-values based on the relationship between x and y, but it is not necessarily equal to the actual y-values in the data set.

B is incorrect because it states that each point on the least-squares regression line represents the ideal y-values at that corresponding value of x, which is not a characteristic of a regression line. A regression line represents a predicted y-value based on the data set and the relationship between x and y, but it does not necessarily represent ideal values.

D is incorrect because it states that each point on the least-squares regression line represents one of the points in the data set, which is not necessarily the case. A regression line represents a predicted y-value based on the data set and the relationship between x and y, and it may not necessarily match the actual data points in the data set.

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Answer:

x = 5, -5

Step-by-step explanation:

17+x^2=42

-17        -17

x^2 = 25

x = + or - root of 25

x = 5,-5

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

The matrix B is defined considering that it will have three rows and three columns, as follows:

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

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Answer:

140

Step-by-step explanation:

140

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

y-7

Hope it helps.

Do comment if you have any query.

The approximate amount of compound interest that he will obtain at the end of three years is (b.) Rs 3276.

Step-by-step explanation:

Given -
P (principal) = Rs 4500
t (time) = 3 years
r (interest rate) = 20%

Formula:

A =  \(\begin{array}{l}P\left (1+\frac{R}{100} \right )^{t}\end{array}\)

after putting values

A = \(\begin{array}{l}4500\left (1+\frac{20}{100} \right )^{3}\end{array}\)

after calculation-

A = 7776

now this, A contains the Principal (P) + Interest (I)

Known

A = P + I

so

I = A - P

Putting actual values -

I = 7776 - 4500

I = 3276

The juice can will have a minimum material used if the radius of the cylinder is  1.8533 in and the height is 3.7069 in.

Let the radius of the cylindrical can be r in

We are given that the can holds 40 in³ of juice

Hence from the formula of cylinder, we have

πr² X height = 40

or, height = 40/πr²

The total surface area of a cylinder is given by

2π X radius X height + 2π X (radius)²

= 2πr X 40/πr²  +  2πr²

= 80/r  +  2πr²

Now we need to minimize the above equation

Hence differentiating with respect to r and equating to 0 we get

-80/r² + 4πr = 0

or, -20/r² + πr = 0

or, -20 + πr³ = 0

or, r³ = 20/π

or, r = ∛(20/π)

or, r = 1.8533

Now differentiating again with respect to r we get

160/r³ + 4π

Putting r = ∛(20/π) gives us

8π + 4π = 12π

Since the above result is positive, r = 1.8533 in is the value of the radius for which the surface area is minimized

Hence height is 3.7069 in

Hence the juice can will have a minimum material used if the radius of the cylinder is  1.8533 in and height is 3.7069 in.

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Correct Question

(Image Attached)

Answer:

20

Step-by-step explanation:

a c will have the same angle as b d

We want to complete the steps to convert the given quadratic equation into vertex form.

Eventually we will get:

y = (x + 1)^2 - 2

For a quadratic equation with the vertex (h, k), the vertex form is:

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

Here we start with:

y = x^2 + 2x - 1

1) First, we complete the perfect-square trinomial, we need to add and subtract 1 to get that:

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

2) Now we rewrite the equation to be able of completing squares:

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

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

3) Now we complete squares

y = (x + 1)^2 - 2

And this is the equation in vertex form, where you can see that the vertex is the point (-1, - 2)

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Answer:

the error is ( 4-17) is equal -13 not 13

so if she used - 13 the right answer is 17/34

Step-by-step explanation:

see attached

hope it helps