At Food Lion you can buy 5 cans of greens for $2.60 how much will it cost to buy three cans of green beans at the same unit price

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer

first line=4.1,10

second=6,10

Step-by-step explanation:

Answer:

Explanation: We have a right triangle with two legs that are each 6ft in length, we need to find the hypotenuse of this right triangle, It is done as follows with Pythagorean theorem:

Therefore again, the hypotenuse is h = 8.49

Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

The required simplified value of the f⁻¹(f(x)) is given as x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,

f⁻¹(f(x)) = f(f⁻¹(x)) = x

Thus, the required simplified value of the f⁻¹(f(x)) is given as x.

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Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

Answer:

There are 250 adult tickets.  

There are 325 Student tickets.  

Step-by-step explanation:

Let a = the number of adult tickets

Let s = the number of student tickets

a + s = 575

a + 75 = s  Substitute a + 75 for s in the first equation'

a + a + 75 = 575  Combine like terms

2a + 75 = 575  Subtract 75 from both sides

2a = 500  Divide both sides by 2

a = 250

There are 250 adult tickets.  

Substitute 250 for a in the first equation

a + s = 575

250 + s = 575  Subtract 250 from both sides

s = 325

There are 325 Student tickets.  

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Answer:

Step-by-step explanation:

View the attached graph for what your image should look like.

I hope this helps or gives you a picture of what it should look like, because it's quite a long process.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.

The 5 given points are plotted in red. The blue line is the function.

The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.

No years is 35000

1 year is 1 * 5000 + 35000

2 years is 2 * 5000 + 35000 = 45000

6 years is 5 * 5000 * 35000 = 65000

and so on.

The point you want is x = 12

12 years is 12 * 5000 + 35000 = 95000

Forgot the graph

Answer:

See Explanation

Step-by-step explanation:

Given

\(k = \frac{1}{4}\) --- scale factor

Required

Determine possible new vertices

The vertices of \(\triangle UVW\) is not given. So, I will answer the question based on an assumed vertex for \(\triangle UVW\)

Given that the scale factor is 1/4, the relationship between \(\triangle UVW\) and \(\triangle U'V'W'\) is:

\(U' = U * \frac{1}{4}\)

\(V' = V * \frac{1}{4}\)

\(W' = W * \frac{1}{4}\)

Assumptions:

\(U = (-4,-8)\)

\(V = (-4,-4)\)

\(W = (-8,-8)\)

So, the possible vertices are:

\(U' = U * \frac{1}{4}\)

\(U' = (-4,-8) * \frac{1}{4}\)

\(U' = (-1,-2)\)

\(V' = V * \frac{1}{4}\)

\(V' = (-4,-4)* \frac{1}{4}\)

\(V' = (-1,-1)\)

\(W' = W * \frac{1}{4}\)

\(W' = (-8,-8)* \frac{1}{4}\)

\(W' = (-2,-2)\)

Answer:

A,C,E

Step-by-step explanation:

Please trust me! You have to reduce everything by 1/4 AKA just take 25% of each OG number for example. W = -8, 8 then, applying 1/4 you'd get W = -2, 2. Then, you can do that with the rest of the numbers!

Hope this helped also ILY make sure to take a break <3

Answer:

C. 124°

Step-by-step explanation:

The angles that have measurements given must add up to 180 because together they create a straight line, which is 180°.

To solve, set up an equation like this:  \(\frac{2}{3}\)x + x + 40 = 180. Combine the  \(\frac{2}{3}\)x and x to get 1 \(\frac{2}{3}\)x. Then, subtract 40 from both sides and you'll end up with the equation 1 \(\frac{2}{3}\)x = 140.

Divide by sides by 1 \(\frac{2}{3}\) and the answer is x = 84.

Now you know the measure of x. Since angle ACD and angle BCE and vertical angles, they must have the same measure.

To solve, just find the measure of ACD by inputting 84 into the equation x+40. The answer is 124, meaning that the measure of angle BCE is also 124°.

I hope this makes sense and helps! Feel free to ask for clarification! ☺

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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Answer:

Step-by-step explanation:

A. The mean of data set X is greater than the mean of data set Y.

B. The median of data set X is less than the median of data set Y.

C. The standard deviation of data set X is greater than the standard deviation of data set Y.

D. The range of data set X is less than the range of data set Y.

E. The mode of data set X is greater than the mode of data set Y

C.

C. The standard deviation of data set X is greater than the standard deviation of data set Y.

is a true statement .

Answer:

The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true?

A.

The mean of data set X is greater than the mean of data set Y.False

B.

The median of data set X is less than the median of data set Y.False

C.

The standard deviation of data set X is greater than the standard deviation of data set Y.True

D.

The range of data set X is less than the range of data set Y.False

E.

The mode of data set X is greater than the mode of data set Y.False

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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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Fe^2 + → Fe^3 + + e^- is an example of oxidation

How many oxidations do Fe3+ and Fe2+ ions have?

For instance, the oxygen ion O2+ has an oxidation number of 2 because it can contribute two electrons, whereas the iron ion Fe3+ has an oxidation number of +3 because it can take on three electrons to establish a chemical bond.

\($\mathrm{Fe}_3 \mathrm{O}_4$\) contains \($\mathrm{F}$ e\) atoms of both\($+2$ and $+3$\)oxidation number.

It is a stoichiometric mixture of\(Ferrous $(\mathrm{FeO})$\)

and Ferric \($\left(\mathrm{Fe}_2 \mathrm{O}_3\right)$ oxides combined as $\mathrm{FeO} \cdot \mathrm{Fe}_2 \mathrm{O}_3$.\)

\(Oxidation state of oxygen in $\mathrm{FeO}$ and $\mathrm{Fe}_2 \mathrm{O}_3$ is $-2$.\)Let the oxidation state of \($\mathrm{Fe}$ in $\mathrm{FeO}$ and $\mathrm{Fe}_2 \mathrm{O}_3$ be $\mathrm{x}$ and $y$\)

As we know that the sum of the oxidation states of all the atoms or ions in a neutral compound is zero.

ThereforeOxidation state of \($\mathrm{F}$ e in $\mathrm{F}$ eO-\)

&\(x+(-2)=0 \\& \Rightarrow x=2\)

Oxidation state of\($\mathrm{F}$ e in $\mathrm{Fe}_2 \mathrm{O}_3-$\)

&\(2(\mathrm{y})+3(-2)=0 \\& \Rightarrow 2 \mathrm{y}=6 \\& \Rightarrow \mathrm{y}=3\end{aligned}\)

Hence the oxidation number of \($\mathrm{Fe}$ in $\mathrm{Fe}_3 \mathrm{O}_4$ are $+2$ and $+3$\)respectively.

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The angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.

A triangle is a closed geometric shape with three sides, three angles, and three line segments. Three non-collinear points are joined by line segments to create the simplest polygon, which has three non-collinear points.

Triangles can be categorized according to the size of their sides and angles. Triangles can be categorized as equilateral (all sides are equal in length), isosceles (both sides are equal in length), or scalene based on their sides (all sides are different in length). Triangles can be categorized as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is greater than 90 degrees) (one angle is exactly 90 degrees).

In any triangle, the sum of the three interior angles is always 180 degrees. Therefore, we can write:

a + b + c = 180

Substituting the given values, we get:

(6x-1) + 20 + (x+14) = 180

Simplifying and solving for x, we get:

7x + 33 = 180

7x = 147

x = 21

Now that we have the value of x, we can substitute it back into the expressions for the angles to find their values:

angle a = (6x-1) = (6*21-1) = 125 degrees

angle b = 20 degrees

angle c = (x+14) = (21+14) = 35 degrees

Therefore, the angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.

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Answer:

160 students

Step-by-step explanation:

As, 80% of 200 students instruments are of brass

So 80% of 200

= 80/100 x 200 = 160

So 160 students

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Hope it will help you.................

Therefore, the surface area of the rectangular prism is 280 square meters.

Area is a measure of the size of a two-dimensional region or surface, typically expressed in square units. It is the amount of space inside a closed shape or figure, and is calculated by multiplying the length and width of the shape or by using a formula specific to the shape. For example, the area of a rectangle can be found by multiplying its length and width, while the area of a circle can be found by multiplying pi (3.14) by the square of its radius. Area is commonly used in mathematics, science, engineering, and other fields to calculate quantities such as surface area, volume, and density.

Here,

The rectangular prism has 6 faces, and each face is a rectangle. To find the surface area, we need to find the area of each rectangle and add them up. The net shows that the dimensions of the prism are:

length = 10 m

width = 6 m

height = 5 m

The area of the top and bottom faces (which are congruent) is:

A = length × width

= 10 m × 6 m

= 60 m²

The area of the front and back faces (which are congruent) is:

A = length × height

= 10 m × 5 m

= 50 m²

The area of the two side faces (which are congruent) is:

A = width × height

= 6 m × 5 m

= 30 m²

To find the surface area, we add up the areas of all six faces:

Surface Area = 2 × (top and bottom faces) + 2 × (front and back faces) + 2 × (side faces)

Surface Area = 2(60 m²) + 2(50 m²) + 2(30 m²)

Surface Area = 120 m² + 100 m² + 60 m²

Surface Area = 280 m²

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The numbers in each blank are to create an equation with the given number of solutions which are:

Note that the no-solution equations are not true for any values of x,p,j,t and the infinite solution equations are true for any values of x,p,j,t.

An equation is said to have infinite solutions when any value of the variable(s) makes the equation true. This happens when an equation has the form "0 = 0" or when both sides of the equation are identical.

For example, the equation 2x + 4 = 2x + 4 has infinite solutions because any value of x makes the equation true. Similarly, the equation -3(2 - 4p) = -6 + 0p has infinite solutions because any value of p makes the equation true.

Another way to think of it is that when both sides of an equation are identical, it means that any value of the variable(s) will make the equation true, and so it has infinite solutions.

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Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

Using the histogram, we can see that the upper-class limit of the second class is given to be 80.5.

A collection of rectangles with bases and the spaces between class boundaries can be referred to as a histogram. Each rectangular bar represents some type of data, and every rectangle is next to another. Rectangle heights are inversely correlated with matching frequencies for both similar and dissimilar groups.

A bar graph is used to represent data in a histogram. It is a visualisation of several outcomes organised into columns along the x-axis. The y-axis of the same histogram represents the number count or multiple occurrences in the data for each column. It is the simplest method for visualising data distributions.

Using the histogram, we can see that the upper-class limit of the second class is given to be 80.5.

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It i given that n = 16, which is the total number of shoes and r = 5.

The number of ways she can choose which shoes to take is determined by combination.

Substitute the values,

Hence the answer is 4368. The number of ways she

Check the picture below.

Make sure your calculator is in Degree mode.

The number of meters from that point on the ocean floor to the wreck is 319.83 meters.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Tan 13.2° = 75 / x

x = 75/tan 13.2°
x = 75/0.2345                                      

x = 319.829 meters

x = 319.83 meters

Thus,

The distance from the point to the wreck is 319.83 meters.

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