Find the surface area of the following figure. Round your final answer to the nearest
tenth.

The sales tax rate for the item is 3%.

To find the sales tax rate, we can divide the sales tax amount by the original cost of the item, and then multiply by 100 to express the result as a percentage.

Given:

Sales tax amount = $11.70

Original cost of item = $390

Sales tax rate = (Sales tax amount / Original cost of item) x 100

Plugging in the given values:

Sales tax rate = (11.70 / 390) x 100

Calculating:

Sales tax rate = 0.03 x 100

Final result:

Sales tax rate = 3%

So, the sales tax rate for the item is 3%.

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Therefore , the solution of the given problem of volume comes out to be 4500 pounds of the crushed mineral can fit inside the container.

The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.

Here,

We must first determine the container's volume, then multiply it by the crushed mineral's weight per cubic foot.

The container's measurements in the image are as follows:

=> 5 feet in length

=> Size: 3 feet wide

=> Height is two feet.

The following formula determines the container's volume:

=> Volume = length* width*height

Inserting the values:

=> 5 feet * 3 feet * 2 feet = volume.

=> 30 cubic feet is the volume.

=> Volume of container x Weight per cubic foot = Weight of crushed mineral

=>  Weight of crushed mineral = 30 cubic feet x 150 pounds/cubic foot

=>  The crushed mineral weighs 4500 pounds.

Therefore, 4500 pounds of the crushed mineral can fit inside the container.

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The number of cups of flour and sugar that Sam needs for the recipe will be 3.75 cups and 1.25 cups, respectively.

Given that:

A recipe for cookies makes 3 dozen cookies and uses 2 1/4 cups of flour and 3/4 cups of sugar.

The utilization of two or more additional numbers that compares is known as the ratio.

The expression that represents the 'n' dozen of cookies is given as,

⇒ n (2¹/₄) / 3 + n(3/4) / 3

⇒ n (2.25) / 3 + n(0.75) / 3

Put n = 5, then we have

⇒ 5 (2.25) / 3 + 5(0.75) / 3

⇒ 11.25/3 + 3.75/3

⇒ 3.75 + 1.25

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The number that needs to be added to complete the square is 169/4

To complete the square for the quadratic equation x² + 13x - 32 = 0, we need to add (13/2)² = 169/4 to both sides.

This is because the coefficient of x in the quadratic term is 13, so half of that is 6.5, and the square of that is 42.25, which simplifies to 169/4.

The equation will then become:

x² + 13x - 32 + 169/4 = 0 + 169/4

So the number that needs to be added to complete the square is 169/4, or 42.25.

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Answer:

284.06

Step-by-step explanation:

To solve this expression using the order of operations (PEMDAS), we must first perform the operations inside the parentheses: 82-12 equals 70. Next, we must perform the multiplication and division from left to right: 107 divided by 70 equals approximately 1.53, and 1.53 times 122 equals approximately 186.06. Finally, we add 98 to get our answer. Therefore, the expression 98+107÷(82-12)x122 simplifies to approximately 284.06.

Answer:

284.06

Step-by-step explanation:

got it right on edge

Answer:

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

'At most' means less than or equal, therefore the quotient of p and q is:

The matching choice is D.

'At least' means more than or equal, therefore the reciprocal of w is:

The matching choice is A.

Answer:

g) The correct option is: p/q ≤ 6

The phrase "the quotient of p and q" means p divided by q, which is expressed as p/q. The statement "the quotient of p and q is at most 6" means that the value of p/q cannot exceed 6, but it can be less than or equal to 6. Therefore, we use the less than or equal to a symbol (≤) to represent this statement.

here is an explanation of each option:

Here's how to express each statement as an inequality in terms of 8a^2:

p/q ≤ 6:

p ≤ 6q

8a^2p ≤ 48a^2q

8a^2p ≤ 48a^2q

h) The correct option is: 1/w ≤ 9

The reciprocal of a number w is 1/w. The phrase "the reciprocal of w is at least 9" means that the value of 1/w cannot be less than 9, but it can be greater than or equal to 9. Therefore, we use the less than or equal to symbol (≤) to represent this statement.

Here's an explanation of each option:

Here's how to express each statement as an inequality in terms of 8a^2:

1/w ≤ 9:

1 ≤ 9w

0 ≤ 9w - 1

0 ≤ 72a^2w - 8a^2

0 ≤ 72a^2w - 8a^2

Note that the inequality for 1/w ≤ 9 involves a quadratic term with respect to "w," whereas the inequality for p/q ≤ 6 only involves linear terms with respect to "p" and "q."

The system of equations that has a solution of (5,-3) is y +  3 = m (x-5).

or

We have the points (5, -3).

Now, The point-slope form of a linear equation is:

(y - y₁) = m (x - x₁)

(y - (-3)) = m (x- 5)

y +  3 = m (x-5)

Now, let the slope m = -2 then

y + 3 = -2(x-5)

y + 3 = -2x + 10

y + 2x + 3 -10 = 0

y + 2x - 7 = 0

Or we can also form the equation as

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Step-by-step explanation:

You are looking for the hypotenuse of a right triangle with legs of 12 and

 11 feet

Using Pthagorean theorem

hypot^2 = 12^2 + 11^2

hypot^2 = 265

hypot = sqrt (265) = 16.28 ft

In the equation , cost of both companies will be same to rent a car is 6 days.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the deposit for the rent car in Wreck = $30

Cost for renting in Wreck = $15 per day

Cost for renting in Barely = $20 per day.

Here let us take the number of days as x.

Then, Cost for renting in Wreck = 15x+30

Cost for renting in Barely = 20x

To rent a car , if cost of both companies is same then the equation is,

=> 15x+30 = 20x

=> 20x-15x = 30

=> 5x = 30

=> x = 30/5 = 6

Hence We have to rent a car for 6 days  the cost of both companies to be the same.

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Answer:

please let me know what is the name of the shape. Thank you

Answer:

1) -8m

2) -x

3) -4y

4)

[tex] - 17x {y}^{3} [/tex]

5) p

6) 0

7) 15m + 10

8) r - 7

9) 5x - 22

10)

[tex]3 {m}^{2} [/tex]

11)

[tex]7 {x}^{2} - x[/tex]

12) 22pq - 8p

13)

[tex] - 13 {r}^{2} - 6r[/tex]

14) -19

15) 0

16) 3.07y

17)

[tex] - 4 {m}^{2} - 35m[/tex]

18)

[tex]x {y}^{2} - 3 {x}^{2} y[/tex]

19) .3mn + 4.7m

20) 3r + 2j + m + 3

21)

[tex] - 4 {x}^{2} - 16x + 11[/tex]

22)

[tex]3 {y}^{4} - {y}^{2} + 11[/tex]

The value "Sin 100°" is greater than "sin 250°", that is, sin 100° > sin 250°

To compare the values of sin 100° and sin 250°, we need to understand the behavior of the sine function. The sine function oscillates between -1 and 1 over a period of 360°, with its maximum value of 1 at 90° and its minimum value of -1 at 270°.

Using the sine wave, we can see that sin 100° is located in the second quadrant, where the sine values are positive, while sin 250° is located in the third quadrant, where the sine values are negative. Therefore, sin 100° is greater than sin 250°, because sin 100° has a positive value closer to the maximum value of 1, while sin 250° has a negative value closer to the minimum value of -1.

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Answer:

Step-by-step explanation:

b

Answer:

47 + 9f [tex]\leq[/tex] 120

Step-by-step explanation:

B is the correct answer.

Answer:

955 11 7 11

3101 thats my answer

Step-by-step explanation:

10 and 3 thank you

Answer:

C or D it’s hard to see if the bottom of the shape is a square or rectangle.

Step-by-step explanation:

If rectangle C if squared D

I would go with C

Answer:its is conservative

Step-by-step explanation:

The surface area of the square base pyramid is 132 cm².

The surface area of the square pyramid can be found as follows:

A square pyramid is a pyramid that has its base as square.

Therefore,

surface area of the square pyramid = base area + 2al

where

Therefore,

surface area of the square pyramid = 6² + 2 × 6 × 8

surface area of the square pyramid = 36 + 96

surface area of the square pyramid = 132 cm²

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Answer:

no its not

Step-by-step explanation:

Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is zero.

The quadratic functions that have a graph with x-intercepts of -8 and 2 are:

y = (x + 8)(x - 2)

f(x) = -7(x + 8)(x - 2)

Options A and C are the correct answer.

We have,

To find the quadratic functions that have a graph with x-intercepts of -8 and 2, we can start by using the fact that the x-intercepts occur when y = 0.

We know that the x-intercepts are -8 and 2, so we can set up two equations:

(x + 8) = 0 and (x - 2) = 0

Solving for x in each equation, we get:

x = -8 and x = 2

Therefore, the factors of the quadratic function that has x-intercepts of -8 and 2 are (x + 8) and (x - 2).

Now we can use these factors to determine which quadratic functions have a graph with these x-intercepts.

A.

y = (x + 8)(x - 2)

Expanding this quadratic function gives:

y = x² + 6x - 16

This function has x-intercepts of -8 and 2, so it is a valid option.

B.

y = (x - 8)(x - 2)

Expanding this quadratic function gives:

y = x² - 10x + 16

This function does not have an x-intercept of -8, so it is not a valid option.

C.

f(x) = -7(x + 8)(x - 2)

Expanding this quadratic function gives:

f(x) = -7x² - 42x - 96

This function does have x-intercepts of -8 and 2, so it is a valid option.

D.

f(x) = -2x² - 12x + 32

To find the x-intercepts of this quadratic function, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the given function, we get:

x = (-(-12) ± √((-12)² - 4(-2)(32))) / 2(-2)

x = (-(-12) ± √(144 + 256)) / (-4)

x = (6 ± √(100)) / 2

x = 3 ± 5

So the x-intercepts are -2 and 8, which means this function is not a valid option.

E.

y = x² - 5x + 8

To find the x-intercepts of this quadratic function, we can again use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the given function, we get:

x = (-(-5) ± √((-5)² - 4(1)(8))) / 2(1)

x = (5 ± √(9)) / 2

x = 4 or x = 1

So the x-intercepts are 4 and 1, which means this function is not a valid option.

F.

f(x) = x² - 8x + 2

To find the x-intercepts of this quadratic function, we can once again use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the given function, we get:

x = (-(-8) ± √((-8)² - 4(1)(2))) / 2(1)

x = (8 ± √(60)) / 2

x = 4 ± 2√(15)

So the x-intercepts are 4 + 2 √(15) and 4 - 2 √(15), which means this function is not a valid option.

Therefore,

The quadratic functions that have a graph with x-intercepts of -8 and 2 are:

A. y = (x + 8)(x - 2)

C. f(x) = -7(x + 8)(x - 2)

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Answer:

there are 2,598,960 ways to deal 5 different cards from a standard 52-card deck.

Step-by-step explanation:

The number of ways 5 different cards can be dealt from a standard 52-card deck is given by the combination formula:

C(52,5) = 52! / (5! * 47!)

which simplifies to

C(52,5) = (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1)

= 2,598,960

The perimeter of the new shape is 32 cm + 8 * sqrt(3) cm.

What is perimeter?

Perimeter is a measurement of the distance around a two-dimensional shape. It is the total length of the boundary or outer edge of the shape. In other words, it is the sum of the lengths of all the sides of the shape.

First, let's find the length of each side of the equilateral triangle, which was cut out of the square. Since the triangle was cut from a square, its sides have the same length as the sides of the square. Therefore, each side of the equilateral triangle is 8 cm.

Now, let's find the perimeter of the new shape, which is made by joining two of these shapes together. The new shape consists of two equilateral triangles and a rectangle. The length of the rectangle is the same as the side length of the equilateral triangle, which is 8 cm. The width of the rectangle is the same as the height of the equilateral triangle, which can be found by applying the Pythagorean theorem to one of the triangles:

[tex]height^2 = side^2 - (1/2 * side)^2\\\\height^2 = 8^2 - (1/2 * 8)^2\\\\height^2 = 64 - 16\\\\height^2 = 48\\\\height = \sqrt{(48)}\\\\height = 4 * \sqrt{(3)}[/tex]

Therefore, the width of the rectangle is also [tex]4 * \sqrt{(3)} cm.[/tex]

The perimeter of the new shape can be found by adding up the lengths of all four sides:

Perimeter = 2 * (side of equilateral triangle) + 2 * (length of rectangle + width of rectangle)

[tex]Perimeter = 2 * 8 cm + 2 * (8 cm + 4 * \sqrt{(3)} cm)\\\\Perimeter = 16 cm + 16 cm + 8 * \sqrt{(3)} cm\\\\Perimeter = 32 cm + 8 * \sqrt{(3)} cm[/tex]

Therefore, the perimeter of the new shape is [tex]32 cm + 8 * \sqrt{(3)} cm.[/tex]

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The term 4.59  is the y-intercept of the linear equation and represents the flat rate (or flat cost).

We know that the linear function:

f(x)=0.75x+4.59

models the cost of shipping x packages.

Remember that the general line is:

y = ax + b

Where a is the slope and b the y-intercept.

if x ≈ 0, then you ship no packages, and in that case the value of the function becomes equal to the second term:

f(x ≈ 0) = 4.59

So the term 4.59 represents the flat rate (or flat cost).

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The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.

We have to find the volume of the box and volume of the basketball to determine the space outside it.

Box is in rectangular shape.

Volume of the box = 24 × 24 × 24

                                = 13824 cm³

Basketball is spherical in shape.

Volume of the sphere = 4/3 π r³

                                     = 4/3 π (12)³

                                     = 2304π

                                     = 7234.56 cm³

Amount of space inside the box but outside the basketball is,

13824 cm³ - 7234.56 cm³ = 6589.44 cm³

Hence the required space is 6589.44 cm³.

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Answer:

Step-by-step explanation:

An equation that best models this set of data is: D. y = 9.74x - 0.06

In this scenario, the hours worked would be plotted on the x-axis (x-coordinate) of the scatter plot while the earnings would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the hours worked and earnings, an equation for the line of best fit is given by:

y = 9.74x - 0.06

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In terms of part A, the solution set is a triangular region with vertices at (0,4), (2,3), and (4,0).

Part B: Yes, the point (2, 3) included in the solution area for the system.  The solution of the inequalities is (4, 0).

Part C. I choose the point (1,3) in the solution set. This implies that Michael can buy 1 cupcake and 3 pieces of fudge with $16 as well as feed at least 4 siblings.

Part A: The inequalities limit Michael's purchase of cupcakes and fudge with $16 to feed at least 4 siblings. The first one, 4x + 2y ≤ 16, restricts the total cost to be $16 or less. To graph y ≤ -2x + 8, draw the line with slope -2 and y-intercept 8, and shade below it. The inequality x + y ≥ 4 means Michael must feed at least 4 siblings. It can be graphed as y ≥ -x + 4, a line with slope -1 and y-intercept 4. To graph the inequality, draw a dashed line with slope -1 and y-intercept 4. Shade the region above the line for y ≥ -x + 4. The solution set is the intersection of the shaded regions. Triangle with vertices (0,4), (2,3), and (4,0).

Part B:

To check if (2,3) is in solution area, we test if it satisfies both inequalities. We substitute x=2, y=3 into 4x + 2y ≤ 16 and get 14. When x=2 and y=3 in x+y≥4, we get 5, which is true. However, (2, 3) is not included in the solution area because it does not satisfy 2x+y≤8.

Part C:

Let select (2,2) in the solution set. Michael can buy 2 cupcakes and 2 pieces of fudge while feeding 4 siblings within his budget. Michael can spend $8 on 2 cupcakes and $4 on 2 fudge pieces to feed his siblings. Michael can buy various combinations of cupcakes and fudge within his budget to feed at least 4 siblings.

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See full question below

Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.

This system of inequalities models the scenario:

4x + 2y ≤ 16

x + y ≥ 4

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)

Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)

Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)

200.96  is the circle's circumference .

What is a circle, exactly?

A circle is a closed, two-dimensional object in which the distances between every point in its plane and its centre are all equal. The creation of the reflection symmetry line is influenced by each line that crosses the circle.

                                     Additionally, any angle surrounding the centre exhibits rotational symmetry. A figure with a circular form that lacks both sides and edges is referred to as a circle. A circle can be referred to in geometry as a closed form, a two-dimensional shape, or a curved shape.

C = 2πr

C = 2 *π * 32

C = 2 x 3.14 x 32

C = 200.96

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the formula for the exponential function N(t) is N(t) = 14 * 59in power (t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula

How to solve the question?

Let N(t) be the exponential function we are trying to find, where N is the population at time t.

From the given information, we know that when t=0, N(0) = 14, which is the initial value of N.

We also know that when t is increased by 6, N is multiplied by 59. In other words,

N(t+6) = 59N(t)

We can use this relationship to express N(t+6) in terms of N(t) by substituting N(t+6) with 59N(t) in the above equation, giving us:

59N(t) = N(t+6)

Now, we can use this equation to solve for N(t) in terms of N(0) by repeatedly substituting N(t) with 59N(t-6), 59²N(t-12), 59³N(t-18), and so on.

N(t) = 59  in power (t/6) * N(0)

Using the initial value of N(0) = 14, we get:

N(t) = 14 * 59 in power (t/6)

Therefore, the formula for the exponential function N(t) is N(t) = 14 * 59^(t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula

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