What is the area of the paper used to wrap a can of soup if the can is 11 cm tall and has a diameter of 7.5 cm. Show all formulas and work.

Using Venn sets, the number of elements in the sets are given as follows:

For this problem, we consider that the sets A, B and C are the sets represented in the problem, and use the information given to find the number of elements in each set.

For the set A, we have that:

Hence 12 elements belong only to set A and 10 belong to both A and C, hence set A has 22 elements.

For the set B, we have that:

In total, there are 31 elements, of which:

31 - 31 = 0, hence set B has only 1 element, that is also present in set C.

For the set C, we have that:

Hence it has 10 elements that are also in set A, and 9(the intersection with B is included in C - A as n(AnB) = 0) are not, hence set C has 19 elements.

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Answer:

x = 95/3

Step-by-step explanation:

3x - 7 = 88

=> 3x = 88 + 7

=> 3x = 95

=> x = 95/3

Therefore x ≠ 3, x = 95/3

The required linear equation is 25 + 5.75 x = y

A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given : A science museum

which charges $25 for the membership

And the charge for per visit is $ 5.75

Let y indicate the total cost and the number of visits be expressed by the variable x

thus the given equation is :

25 + 5.75 x = y

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The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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Answer

$0.1346

Explanation:

Find probability of each card and the value of each card and then add them together.

Probability of getting a heart = 13/52

Price of one heart =$0.30

Pay for one heart = 13/52×0.30=$0.075

Probability of getting a queen =4/52

Price of one queen =$0.55

Pay for one queen =4/52×$0.55=$0.0423

Probability of getting a queen of hearts =1/52

Price of one queen =$0.90

Pay for one queen =1/52×$0.90=$0.0173

Therefore the pay for one draw= $0.075+$0.0423+$0.0173=$0.1346

Answer:

1/4

Step-by-step explanation:

rise over run.

Answer:

$461.85

Step-by-step explanation:

Multiply 54x2,  36x4.60,  1.55x75

This comes out to 180, 165.6, and 116.25

Add them all together, and you get 461.85

That's the total amount that he makes weekly

Answer:

the quotient is 9 because a negative divided by a negative is a positive

The domain of a function is the set of all possible independent values that a function can have. It is the collection of all possible entries.

The range of a function is the set of all possible dependent values that the function can take. It is the collection of all possible outputs.

1.

{(10,9),(-2,-16),(-6,7),(5,8),(8,-16),(-11,9)}​

Domain:

it will be the values ​ highlighted:

{(10,9),(-2,-16),(-6,7),(5,8),(8,-16),(-11,9)}​

D: {10, -2, -6, 5, 8, -11}

Range:

it will be the values ​ highlighted:

{(10,9),(-2,-16),(-6,7),(5,8),(8,-16),(-11,9)}​

R: {9,-16,7,8,-16,9}

2.

Domain:

Here will be all the values of x (the independent variable) in other words all the values of the first column:

D: {4, 1, 4, 16, 10, -19}

Range:

Here will be all the values of y (the dependent variable) in other words all the values of the second column:

R: {-20, -17, -14, 5, 0, -16}

3.

Domain:

here will be all the values of the input set, that is, the set on the left:

D: {-19, -14, -11, -9, 2, 4}

Range:

here will be all the values of the output set, that is, the set on the right:

R: {-16, -13, -11, -9, 9, 10}

Answer:

\(\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}\)

Y-intercept = (0, -5)

Step-by-step explanation:

Given the linear equation in standard form,  3x - 5y = 25, for which we must determine its x- and y-intercepts.

It is essential to understand what the intercepts mean relative to the given equation and its location on the graph.

The x-intercept is the point where the graph crosses the x-axis. Hence, its coordinates are often represented by (a, 0). Thus, the x-intercept provide the value of x when the value of the y-coordinate is 0.

Now, we can solve the x-intercept by setting y = 0:

3x - 5y = 25

3x - 5(0) = 25

3x - 0 = 25

3x = 25

Divide both sides by 3 to solve for x:

\(\large\mathsf{\frac{3x}{3}\:=\:\frac{25}{3}}\)

\(\bf\mathsf{x=\:\frac{25}{3}}\)

Therefore, \(\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}\) .

The y-intercept is the point where the graph crosses the y-axis. Hence, its coordinates are often represented by (0, b ). Thus, the y-intercept provide the value of y when the value of the x-coordinate is 0.

Now, we can solve the y-intercept by setting x = 0:

3x - 5y = 25

3(0) - 5y = 25

0 - 5y = 25

-5y = 25

Divide both sides by -5 to solve for y:

\(\large\mathsf{\frac{-5y}{-5}\:=\:\frac{25}{-5}}\)

y = -5

Therefore, the y-intercept is (0, -5).

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Answer:

x = 14

Yes, the form a Pythagorean triple.

Step-by-step explanation:

50^2 - 48^2 = x^2

196 = x^2

x=14

Remember to follow PEMDAS:

2(6+4) - 3(5)

Add in the first parenthesis:

2(10)-3(5)

Multiply to remove parenthesis:

20 - 15

Subtract:

5

I hope this helps! :)

2( 6 + 4) - 3(5)

add up the numbers in brackets

2 ( 10 ) - 3(5)

Multiply 2 by 10 and 3 by 5

20 - 15

Subtract !

5

2 ( 6 + 4 ) - 3(5) = 5

___________________________

Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

9514 1404 393

Answer:

  216 in³

Step-by-step explanation:

The ratio of volumes is the 3/2 power of the ratio of areas.

  small volume = ((small area)/(large area))^(3/2) × (large volume)

  = (212/1325)^(3/2) × 3375 in³ = (4/25)^(3/2) × 3375 in³ = (8/125)×3375 in³

  small volume = 216 in³

Given that,

Cost of 6 pounds apples = $4.00

To find,

Unit rate.

Solution,

We have,

6 pounds apples = $4.00

We can find the cost of 1 pound of apples as follows :

1 pound apples =$ (4/6)

= $0.67

So, the cost of 1 pound apples is $0.67.

Step-by-step explanation:

first distribute the first equation

8(2x) - 8(14) +13 = 4x -27

16x - 112 +13 = 4x -27

then combine like terms

16x - 99 = 4x -27

subtract 4x from both sides

12x - 99 = -27

add 99 to both sides

12x = 72

divide both sides 12 to isolate the x

x = 72/12 = 6

The volume of the parallelepiped is 190.

The volume V of a parallelepiped with adjacent edges pq, pr, and ps can be found using the scalar triple product as:

V = |pq · (pr x ps)|

where · denotes the dot product and x denotes the cross product.

pq = q - p = (-1-3, 2-0, 5-1) = (-4, 2, 4)

pr = r - p = (5-3, 1-0, -1-1) = (2, 1, -2)

ps = s - p = (0-3, 4-0, 2-1) = (-3, 4, 1)

pr x ps = det([i, j, k; 2, 1, -2; -3, 4, 1]) = i(-4) - j(7) + k(10) = (-4, -7, 10)

V = |(-4, 2, 4) · (-4, -7, 10)| = 190

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The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.

The base will be calculated as:-

tan(38.6) = P / B

tan(38.6) = 67.7 / B

B = 67.7 / tan(38.6)

B = 54.8 ft

The height will be calculated as:-

Cos(42.4) = B / H

H = 84.8 / Cos(42.4)

H = 114.83 ft

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Answer: 3

Step-by-step explanation:

      The line y = 3x + 7 has a slope of 3. Slope-intercept form equations have a slope of m when written as y = mx + b. See the attached picture for more information.

y = mx + b ➜ y = 3x + 7 ➜ y = 3x + 7 ➜ 3

Answer:

Step-by-step explanation:

The ratio at which the y-value varies when the x-value changes is shown by a line's slope. The coefficient of x in the equation y = 3x + 7 is 3, therefore y rises by 3 units for every unit increase in x. The slope is thus 3. This indicates that the line will climb 3 units along the y-axis for every unit you move to the right along the x-axis.

The linear function representing the jet's trajectory is given as follows:

y = 0.5x.

From the given graph, the slope-intercept definition of the linear function is obtained, which has the following format:

y = mx + b.

The coefficients of the equation are given as follows:

The function touches the y-axis at the origin, hence the intercept is of:

b = 0.

The jet plane consistently climbs 20 feet for every 40 feet it moves horizontally, hence the slope is of:

m = 20/40 = 0.5.

Then the equation is of:

y = 0.5x.

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The linear correlation coefficient, r, is -0.0048. The p-value is 0.9952. Since the p-value is greater than the significance level of 0.01, we cannot reject the null hypothesis.

Find the degrees of freedom.

df = n - 2

df = 10 - 2 = 8

Find the t-value.

t = r * √(n - 2) / σ

t = -0.0048 * √(10 - 2) / 1.23 = -0.037

We can use the interpolation method to find the p-value. The interpolation method involves finding the two t-values that are closest to -0.037 and then averaging their corresponding p-values.

The two t-values that are closest to -0.037 are -0.040 and -0.034. The corresponding p-values for these t-values are 0.684 and 0.711. The average of these p-values is 0.6975. Therefore, the p-value is 0.6975.

Since the p-value is greater than the significance level of 0.01, we cannot reject the null hypothesis.

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Answer: The Zeros Are(in order) -3,-2,-1,1, 1.5 ALL have a multiplicity of 1.

Step-by-step explanation: Since the 0's cross the graph and don't "bounce" on the x-axis, they're all for a multiplicity of 1.

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

do u mean rectangle is longer or rectangles lenght is longer

Answer:

The volume will be 64 times larger.

Explanation:

When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.

TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.

In case I explained it badly, here is a more mathematical method to find the answer:

The formula for volume:

V = l * w * h

When you multiply each dimension by 4:

V = (4 * l) * (4 * w) * (4 * h)

Rearrange with the Commutative Property of Multiplication:

V = (4 * 4 * 4) * (l * w * h)

Simplify:

V = 64 * l * w * h

Therefore, the volume is 64 times greater.

Answer:

9 3/2 pounds or 10.5 pounds

Step-by-step explanation:

4 2/3 x 2 1/4 = 14/3 x 9/4 = 126/12 = 21/12 = 9 3/2 or 10.5

Answer:

10.5 pounds

Step-by-step explanation:

4 2/3 × 2 1/4 = 10.5 or 10 1/2

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Answer:

9n + 11

Step-by-step explanation:

Solve the following;

(4 n+ 5 ) + (3 + 8 – 6)

(4 n+ 3) + 5 n+ 8 - 6

Solve;

~~~~~~~~~~~~~~~~~~~~

(4n + 3) + 5n + 8 - 6

4n + 3 +5n + 2

9n + 5

~~~~~~~~~~~~~~~~~~~~

(4n + 5n) + (3 + 8 - 6)

9n + 5

~~~~~~~~~~~~~~~~~~~~

Hence, out of these expression 9n + 11 is not equivalent to the others

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Hey there!

Solve all equations

=> 9n + 11

= 9n +11

=> 9n +3 +2

=9n + 5

=> (4n +5) + (3+8-6)

= 4n + 5 + 3 + 8 - 6

= 4n + 16 -6

= 4n + 10

=> 4n+3+5n+8−6

=4n+3+5n+8+−6

Combine Like Terms:

=4n+3+5n+8+−6

=(4n+5n)+(3+8+−6)

=9n+5

Therefore, expressions that is equivalent to the others are 9n + 11 and (4 n+ 5 ) + (3 + 8 – 6)