The unit price of a 128-ounce jug of milk is 4.8 cents per ounce. A 64-ounce carton of milk has a unit price of 5.1 cents per ounce. Approximately how much money is saved by purchasing a larger jug instead of two cartons?

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = \(\sqrt{1} - x\)

Hypotenuse = \(\sqrt{1} + x\)

Let's find the adjacent side using the Pythagorean theroem

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

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

\(x = \sqrt{\frac{1 + x^2}{1 -x^2} }\)

cos A = x/hypotenuse

\(cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}\)

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

https://brainly.com/question/7331447

#SPJ1

Answer:

See explanation

Step-by-step explanation:

The graph of y = |x| is a graph of the absolute value function, which is a piecewise defined function. The graph of this function is a V-shaped curve, with the vertex of the V at the origin (0,0). The graph of y = |x + 1| + 4 can be obtained by shifting the graph of y = |x| to the right by 1 unit, and then shifting it up by 4 units.

The resulting graph of y = |x + 1| + 4 will be a V-shaped curve with the vertex at the point (1,4). The curve will be shifted to the right and up compared to the graph of y = |x|, and it will have the same general shape as the original graph.

Ram's original salary was rs. 7500 per month before it decreased by 4 percent to rs. 7200 per month.

The given question is based on the concept of percentage decrease. Here, Ram's salary has decreased by 4 percent and reached rs. 7200 per month. So, we have to find the original salary before the decrease. We can set this up as a simple equation, solving it as follows:

Let's denote Ram's original salary as 'x'.

According to the question, Ram's salary decreased by 4 percent, which means that Ram is now getting 96 percent of his original salary (as 100% - 4% = 96%).

This is formulated as 96/100 * x = 7200.

We can then simply solve for x, to find Ram's original salary. Thus, x = 7200 * 100 / 96 = rs. 7500.

So, Ram's original salary was rs. 7500 per month before the 4 percent decrease.

https://brainly.com/question/35705707

#SPJ2

Answer:

C goes to the first one B second one A goes to third one D last one

Step-by-step explanation:

Rounding to the nearest hundredth, we get an expected count of 128.06 for that cell.

One of the four fundamental mathematical processes, along with addition, subtraction, multiplication, and division, is addition.

To find the expected count for the cell corresponding to navigation from social media before Mabel made the change, we need to calculate the total number of observations in that category (before the change), and the total number of observations in the entire sample (before and after the change). Then we can use those values to calculate the expected count.

Total number of observations in the social media category before the change:

57 + 71 = 128

Total number of observations in the entire sample before the change:

170

Expected count for the cell corresponding to navigation from social media before the change:

(expected proportion of social media visitors) x (total number of observations in the entire sample before the change)

We can estimate the expected proportion of social media visitors by calculating the overall proportion of social media visitors in the entire sample before the change:

128 / 170 = 0.7529

So the expected count for the cell corresponding to navigation from social media before the change is approximately:

0.7529 x 170 = 128.06

Rounding to the nearest hundredth, we get an expected count of 128.06 for that cell.

Learn more about addition on:

https://brainly.com/question/24247076

#SPJ1

Answer:

64 the expected count for the cell corresponding to navigation from social media before Mabel made the change

This confirms that the given data points fit the quadratic equation y = 4x2 - 4x + 3.

Data is information that is organized, structured, and stored in a specific way. It is used to create meaningful information from raw facts and figures. Data can be quantitative (numerical) or qualitative (descriptive). It can be collected from various sources such as surveys, experiments, and observations. Data can be used to make decisions, track progress, and uncover trends. It is a critical component of any business, organization, or research project.

The systems approach to model a quadratic relationship begins by examining the given data points to determine if they fit a quadratic equation. If they do, then the equation can be written in standard form: y = ax2 + bx + c.

In this case, the given data points fit a quadratic equation, so the equation can be written in standard form as: y = 4x2 - 4x + 3. The coefficient 'a' is 4, the coefficient 'b' is -4, and the constant 'c' is 3.

To verify this equation, we can substitute the given data points into the equation and check whether the results match the given values.

For example, when x = -1, y = 4(-1)2 - 4(-1) + 3 = 4 + 4 + 3 = 11. The given value for this point is 11, so the equation is correct.

We can check all the other data points in the same way to verify that the equation is accurate. This confirms that the given data points fit the quadratic equation y = 4x2 - 4x + 3.

To know more about data click-
https://brainly.com/question/14592520
#SPJ1

The measure of angle 2 is 100°

The set of two or more lines which go to infinity but never intersects each other are called parallel lines.

Given that, Lines j and k are parallel and cut by a transversal t. and m ∠1 = 4x - 20, and m ∠6 = 5x - 25,

According to the figure, ∠6 and ∠1 are exterior consecutive angles, and we know that consecutive angles between parallel lines are supplementary.

Therefore,

m ∠1 + m ∠6 = 180°

Substituting their values,

4x - 20 + 5x - 25 = 180°

9x = 225

x = 25°

Hence, m ∠1 = 80° and m ∠6 = 100°

Also, ∠2 ans ∠6 are corresponding angles, and we know that corresponding angles between parallel lines are equal,

Therefore, ∠2 = ∠6 = 100°

Hence, ∠2 = 100°

For more references on parallel line, click;

https://brainly.com/question/16701300

#SPJ1

Answer:

86 shots

Step-by-step explanation:

The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is\(\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\]\)

Using the formula for a geometric series, we have\(\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\]\)

which is very close to \($\dfrac{10^{10}}{9},$\) so the ratio is very close to 9.

To learn more about ratio ,visit:

https://brainly.com/question/1504221

#SPJ4

The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

Find out more on the number of terms at https://brainly.com/question/30659621

#SPJ1

The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

Answer:

7

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

The approximated possible propagated error in computing the volume of the cube is 20.25 .

The approximated possible propagated error in computing the surface area of the cube is 5.4.

The formula's for volume and surface area of cube is as follows,

\(V=a^3\\S=6a^2\)

Where a is the side of the cube.

When you utilize those questionable measurements to calculate something else, error propagation (or uncertainty propagation) occurs to measurement mistakes.

The error in the edge of the cube is 0.03 inch, so

\(a=15\pm0.03\)

Δa=0.03 inches

Now, differentiating the volume function of cube,

\(\frac{dV}{da} =3a^2\\dV=3a^2da\)

Putting the values,

Δ\(dV=3(15)^2\times0.03\\dV=20.25\)

Now, differentiating the surface area function of cube,

\(\frac{dS}{da}=12a\)

Putting the values,

\(dS=12\times15\times da\\dS=12\times15\times 0.03\\dS=5.4\)

Therefore, The approximated possible propagated error in computing the volume of the cube is 20.25 and The approximated possible propagated error in computing the surface area of the cube is 5.4.

To learn more about the propagated error visit here:

https://brainly.com/question/13120993

#SPJ4

Answer:

3:2

Step-by-step explanation:

girls: boys

18    : 12

Divide each side by 6

18/6 :  12/6

3   : 2

Answer: 18 girls to 12 boys

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Let's write the ratio using the word "to."

Since there are 18 girls and 12 boys,

we can write this as 18 girls to 12 boys.

So this would be our answer.

However, this can be reduced to 3 girls to 4 boys.

To solve the given linear programming (LP) problem using the graphical LP approach, we will plot the feasible region, identify the corner points, and determine the optimal solution.

Here are the steps:

Step 1: Plot the constraints:

- Plot the line 5x + y = 32, which represents the constraint 5x + y ≤ 32. To do this, find two points that lie on this line by assigning values to x and solving for y. For example, when x = 0, y = 32, and when x = 6, y = 2. Connect these points to draw the line.

- Plot the line x + 3y = 12, representing the constraint x + 3y ≥ 12. Again, find two points on this line and connect them. For instance, when x = 0, y = 4, and when x = 12, y = 0.

- Draw the lines representing x = 20 and y = 20 as vertical and horizontal lines passing through x = 20 and y = 20, respectively.

Step 2: Identify the feasible region:

- Shade the area that satisfies all the constraints. The feasible region is the intersection of the shaded regions.

Step 3: Identify the corner points:

- Find the coordinates of the corner points of the feasible region. These points are the intersections of the lines representing the constraints.

Step 4: Evaluate the objective function:

- Calculate the objective function Z = 3x + 12y for each corner point.

Step 5: Determine the optimal solution:

- Identify the corner point that gives the minimum value of the objective function Z. This point corresponds to the optimal solution of the LP problem.

Once you have completed these steps, you will have the complete solution to the LP problem using the graphical LP approach.

To know  more about constraints visit:

brainly.com/question/32387329

#SPJ11

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

Learn more about yards

https://brainly.com/question/14516546

#SPJ11

Answer:

x=10

Step-by-step explanation:

5x-10 and 3x+10

+10 +10

5x and 3x+20

-3x -3x

2x and 20

divide by 2 on both sides

x=10

Answer:

First blank is 15, second blank is 4

Step-by-step explanation:

\(\frac{1}{5}=\frac{1*3}{5*3}=\frac{3}{15}\)

\(\frac{1}{5}=\frac{1*4}{5*4}=\frac{4}{20}\)

Answer: C (x = 4/3)

Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.

Other forms of the answer: x = 4/3 in improper fraction form, 1.3  ( 3 as the repeating decimal/ recurring decimal) in decimal form, and 1 1/3 in decimal form.

Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

Learn more about time here

brainly.com/question/28050940

#SPJ4

Answer:

H

Step-by-step explanation:

I don't know if I did it wrong because I got 4,206.27 but I probably did

Answer:

5 more feet

Step-by-step explanation:

iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119

Answer:

Step-by-step explanation:

The two have a total of 5+2 = 7 "ratio units" so have a total of 140 cars.

can you mark me as brainliest?

Answer:

x is about 14.2857

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

3x36=108

Answer:

108

Step-by-step explanation:

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ \(\frac{8}{3}\)

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

Learn to know more about Division on

https://brainly.com/question/21416852

The equation holds true, confirming that (-5, 2) is indeed the solution to the given equation.

To complete the missing value in the solution to the equation x - 5y = -15, we substitute the given x-value (-5) into the equation and solve for y.

Substituting x = -5 into the equation, we have:

-5 - 5y = -15

Next, we simplify the equation by combining like terms:

-5y = -15 + 5

-5y = -10

To isolate y, we divide both sides of the equation by -5:

y = (-10) / (-5)

Simplifying further, we have:

y = 2

Therefore, the missing value in the solution to the equation is y = 2.

In the ordered pair form, the solution is represented as (-5, 2), where -5 corresponds to the x-value and 2 corresponds to the y-value.

This means that when x is equal to -5, and y is equal to 2, the equation x - 5y = -15 is satisfied. Plugging in these values into the equation:

-5 - 5(2) = -15

-5 - 10 = -15

-15 = -15

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

n/3 - 4 = 10

Step-by-step explanation:

hope this helps

Answer:

yes it would make a acute triangle

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

f(4) = 4(4) - 3 = 16 - 3  =  13

g(-5) = -2(-5) + 10  =  10 + 10  =  20

13 + 20 = 33