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A net of a rectangular prism is shown.


A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters.


What is the surface area of the prism?


five hundred fifty and one-fourth cm2

four hundred twelve and three-fourths cm2

two hundred seventy-five and one-eighth cm2

one hundred thirty-seven and nine-sixteenths

Base on the question, Yes, all four conditions in Binomial Settings have  met.

A binomial setting is a statistical experiment or scenario that satisfies the following four conditions:

The four conditions in BINS are:

All of these conditions are met in this scenario, so it is a binomial setting.

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The correct classification(s) of the fractional number 15/3 is: whole, integer, rational.

What is fractional number?

A fractional number, also known as a fraction, is a number that represents a part of a whole. It consists of two parts: a numerator and a denominator, separated by a slash (/). The numerator is the number above the line, and the denominator is the number below the line.

The number 15/3 is a fraction. When we simplify this fraction, we divide 15 by 3 to get:

15/3 = 5

Therefore, the number 15/3 is equivalent to the whole number 5.

An integer is a number that can be expressed without fractions or decimals, and can be positive, negative, or zero. The number 5 is also an integer, because it is a positive whole number.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, 15/3 can be expressed as the ratio of two integers (15 and 3), so it is a rational number.

Therefore, the correct classification(s) of the number 15/3 is:

whole, integer, rational.

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the volume of the spherical globe with a radius of 9 inches is approximately 3053.63 cubic inches.

What is globe?

A globe is a three-dimensional, spherical representation of the Earth or another celestial body, such as a planet or a moon. It is typically made of a hollow sphere of material, such as paper, plastic, metal, or glass, with a map of the Earth or the celestial body printed or drawn on its surface.

Globes are often used as educational tools to help people visualize and understand the geography, topography, and other features of the Earth or other planets. They can be used in classrooms, museums, or other settings to teach geography, astronomy, or other related subjects.

Globes can also be decorative objects, used to add visual interest to a room or office. They come in a variety of sizes, styles, and designs, ranging from small desktop globes to large, ornate globes mounted on stands.

The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume, π is the mathematical constant pi (approximately 3.14), and r is the radius of the sphere.

Using this formula and substituting the given radius of 9 inches, we can calculate the volume of the globe as follows:

V = (4/3)πr³

V = (4/3)π(9³)

V = (4/3)π(729)

V = 3053.63 cubic inches (rounded to two decimal places)

Therefore, the volume of the spherical globe with a radius of 9 inches is approximately 3053.63 cubic inches.

It's important to note that the volume of a sphere is a measure of the amount of space inside the sphere, so the volume represents the maximum amount of material that can fit inside the sphere. This calculation may be useful in a variety of contexts, such as designing packaging or calculating the capacity of a container.

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The range of possible values for x is approximately -14.7 to 14.7. However, since x represents a length, it cannot be negative. Thus, the range of possible values for x is approximately 0 to 14.7.

The range refers to the difference between the maximum and minimum values in a dataset.
The range is easy to calculate and provides a quick estimate of how much variation there is in the dataset.

We have:

∠ABC + ∠ABD + ∠BDA + ∠BAC = 360°

120° + 115° + ∠BDA + ∠BAC = 360° (substituting given values)

∠BDA + ∠BAC = 125°

Now, we can use the law of cosines to relate the sides and angles in each triangle:

AC² = AB² + BC² - 2ABBCcos(∠ABC)

(4x-10)² = AB² + 24² - 2AB24cos(120°)

(4x-10)² = AB² + 576 + 24AB

AD² = AB² + BD² - 2ABBDcos(∠ABD)

40² = AB² + 24² - 2AB24cos(115°)

AB² - 48AB + 496 = 0

Using the quadratic formula to solve for AB, we get:

AB = (48 ± √(48² - 4×496))/2

AB = 24 ± 2√211

Since AB = 24 + 2x, we have:

24 + 2x = 24 + 2√211 or 24 - 2√211

By Solving for x in each case, we get:

x = √211 + 0.5 ≈ 14.7 or x = -√211 + 0.5 ≈ -14.7

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Answer: The formula needed to find the amount of border needed is the perimeter formula for a rectangle:

Perimeter = 2(length + width)

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

3/2 x 3/2= 9/4

Answer:

negative whole numbers

zero

positive whole numbers

Step-by-step explanation:

The set of integers includes negative whole numbers, zero, and positive whole numbers. Natural numbers are a subset of integers, and include only the positive whole numbers and zero. Therefore, the correct answer is: negative whole numbers, zero, and positive whole numbers.

[tex] \rm \: good \: luck[/tex]

Answer:

The set of integers includes negative whole numbers, zero, and positive whole numbers. Natural numbers are a subset of integers that does not include zero or negative whole numbers.

Step-by-step explanation:

a. The y-intercept of the line is 4.

b. The gradient of the line is 2.

The gradient of a line is the steepness of the line, which is determined by how much the line rises or falls for each unit of horizontal distance [m = change in y / change in x], while the y-intercept is the point where the line crosses the y-axis.

a. The line cuts the y-axis at 4, therefore, the y-intercept is 4.

b. Gradient of the line = rise/run = 2/1

Gradient = 2.

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Answer: The tank starts with 10 gallons of gas

Step-by-step explanation:

so the first thing that you are going to do is divide and multiply  what might you be dividing great question, you will divide 10 in to 9 then multiplying 160 into 15.

If you want to know how i got this answer please ask me in the commets below.

Answer: 0.6

Step-by-step explanation: to convert 3/5 to a decimal, divide the numerator over the denominator. 3 divided by 5 = 0.60

Answer: 0.60

Step-by-step explanation: multiply 3x 20 adn 5 x 20 which will give you 60/100 now just place the decimal 2 places left of the 60 which will give you .60 or .6

Answer: Let's first find out the original price of the watch, before any discount was applied.

Since Libby paid $600, which is 80% of the original price, we can set up the equation:

0.8P = 600

where P is the original price of the watch.

Solving for P, we get:

P = 600/0.8 = $750

So the original price of the watch was $750.

Now, we can find the discount that was given to Scott. He paid $630, which is a discount from the original price of:

$750 - $630 = $120

So the discount amount was $120.

To find the percentage discount, we can use the formula:

Discount percentage = (discount amount / original price) x 100%

Plugging in the values, we get:

Discount percentage = (120 / 750) x 100% = 16%

Therefore, Scott received a 16% discount on the watch.

Step-by-step explanation:

5. The missing length = D. 91

6. The missing length = C. 5

7. The missing length = B. 121

8. The missing length = D. 30

Similar triangles are triangles that have the same shape but possibly different sizes. In other words, they have the same angles but different side lengths.

The corresponding sides of similar triangles are proportional to each other, meaning that if you were to multiply all the sides of one triangle by a certain factor, you would get the corresponding sides of the other triangle.

5. In order to find the missing length:

WU/FU = UV/UG  = 130/60 = UV/42

Cross-multiplying, we have:

60UV = 130 x 42

UV = 5 460/60 = 91.

6. To find the missing length, we have:

PQ/DE = PR/DF = PQ/20 = 10/40

Cross-multiplying, we have:

40PQ = 20 x 10

PQ = 200/40 = 5.

7.  To find the missing length, we have:

CE/EW = DE/EV = CE/55 = 110/50

Cross-multiplying, we have:

50CE = 110 x 55

CE = 6 050/50 = 121.

8.  To find the missing length, we have:

DE/LM = CE/LN = 42/36 = 35/LN

Cross-multiplying, we have:

42LN = 35 x 36 = 1 260

LN = 1 260/42 = 30.

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The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

[tex]Area = \int\limits^b_a {y} \, dy[/tex]

[tex]Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy[/tex]

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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The circumference of Circle B is 34.5 meters.

What is circumference ?

Let's start by finding the diameter of Circle A. The formula for the circumference of a circle is:

C = πd

where C is the circumference and d is the diameter.

So we can solve for the diameter of Circle A by rearranging the formula:

d = C/π = 23/π

Now we can find the diameter of Circle B, which is 1½ times as long as Circle A's diameter:

d(B) = 1.5d(A) = 1.5(23/π)

Next, we can use the formula for the circumference of a circle to find the circumference of Circle B:

C(B) = πd(B)

C(B) = π(1.5)(23/π)

C(B) = 1.5(23)

C(B) = 34.5 meters

Therefore, the circumference of Circle B is 34.5 meters.

What is diameter of circle?

The diameter of a circle is the distance across the circle passing through its center. It is the longest chord of the circle and is twice the length of the radius.

The formula for the diameter of a circle is:

d = 2r

where d is the diameter and r is the radius of the circle.

Alternatively, we can use the formula for the circumference of a circle to find the diameter:

d = C/π

where C is the circumference of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

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Complete question is: Circle A has a circumference of 23 m. Circle B has a diameter that is 1½ times as long as Circle A's diameter. the circumference of Circle B is 34.5 meters.

The gymnast would pay a total of $50 per month for his membership to the yoga studio if he attends 3 classes per month.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

The equation y = 20 + 10x represents the total amount the gymnast pays per month for his membership to the yoga studio, where:

y is the total cost per month, in dollars

x is the number of classes the gymnast attends per month

The equation has two parts:

The constant 20 represents the fixed monthly fee the gymnast pays, regardless of how many classes he attends.

The term 10x represents the additional fee the gymnast pays for each class he attends. Since the coefficient of x is 10, the gymnast pays $10 for each class he attends.

Therefore, if the gymnast attends x classes per month, his total monthly cost would be:

Total Cost = Monthly Fee + Cost per Class * Number of Classes

y = 20 + 10x

For example, if the gymnast attends 3 classes per month, his total monthly cost would be:

y = 20 + 10(3)

y = 20 + 30

y = 50

Therefore, the gymnast would pay a total of $50 per month for his membership to the yoga studio if he attends 3 classes per month.

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Height of this surface if its base is 12 cm 42 tiles are required.=14400

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

Area of region = 100 cm x 144 cm = 14400 cm.sq

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COMPLETE QUESTION-

Tim has used 11 squares tiles to cover a surface. What is the height of this surface if its base is 12 cm?

The area of the hexagon is 1344 square centimeters for the given perimeter and apothem.

The distance between a polygon's midpoint and any one of its sides is the polygon's apothem. The radius of the polygon's inscribed circle is equal to the perpendicular distance that runs from the centre to the side of the polygon. The formula for computing the area of regular polygons uses the apothem, which is a crucial component for determining their area.

The area of hexagon is given by the formula:

Area = (Perimeter x Apothem) / 2

Substituting the given values we have:

Area = (96 cm x 14 cm) / 2

Area = 1344 sq. cm

Hence, the area of the hexagon is 1344 square centimeters.

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The solution to the differential equation dy / dx = 2 · x · y³ · sin x² is equal to - [1 / (2 · y²)] = - cos x² - 3 / 2.

In this problem we find a differential equation with separable variables, that is, an ordinary differential equation whose variables can be separated on each side of the equivalence and solved by integrals. First, write the complete expression:

dy / dx = 2 · x · y³ · sin x²

Second, separate the variables:

dy / y³ = 2 · x · sin x² dx

Third, integrate the equation:

∫ dy / y³ = ∫ sin x² · (2 · x) dx

- [1 / (2 · y²)] = - cos x² + C

Fourth, find the value of the constant of integration:

- 1 / 2 = 1 + C

C = - 3 / 2

Fifth, write the solution to the differential equation:

- [1 / (2 · y²)] = - cos x² - 3 / 2

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Two find the point in the solution set for both these functions equation the two functions (f(x)=g(x)) and solve for x. See full process below.

Explanation:

Two find the point in the solution set for both these functions equation the two functions (f(x)=g(x)) and solve for x.

Therefore:

2x−1=−43x+9

We can now solve for x:

2x−1+43x+1=−43x+9+43x+1

2x+43x−1+1=−43x+43x+9+1

2x+43x−0=0+9+1

2x+43x=10

(33×2)x+43x=10

63x+43x=10

103x=10

310×103x=310×10

3

10×103x=310×10

x=3 is the point which lies in the solution set for both functions.

You will be able to pull out approximately $1,983.45 each month from your retirement savings if you want to be able to take withdrawals for 15 years.

Interest rate is the percentage of the principal amount (a loan or an investment) that is charged or paid over a certain period of time, usually a year. It is used to calculate the amount of interest that accrues on the principal amount.

To calculate the monthly withdrawal amount that you can make from your retirement savings, we can use the present value of an annuity formula. This formula relates the present value of a series of equal periodic payments to the interest rate, the number of periods, and the payment amount.

Let's assume that you want to make monthly withdrawals for 15 years, which corresponds to 180 months. Also, let's assume that you want to withdraw the same amount each month. We can call this amount "P".

Using the present value of an annuity formula, we can solve for P:

P = PV * (r / (1 - [tex](1 + r)^(-n)[/tex]))

where PV is the present value of your retirement savings,

           r is the monthly interest rate (which is 4% / 12 = 0.00333), and

           n is the number of months over which you want to make withdrawals (which is 180 in this case).

Substituting the given values, we get:

P = 300,000 * (0.00333 / (1 - (1 + [tex]0.00333)^(-180)[/tex]))

  ≈ $1,983.45

Therefore, you will be able to pull out approximately $1,983.45 each month from your retirement savings if you want to be able to take withdrawals for 15 years. Note that this amount is an estimate and does not take into account any taxes, fees, or other factors that may affect your retirement income.

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The weight of each of the boxes are:

Large box = 15.75 kg

Small box = 18.75 kg

Let the weight of each large box be x

Let the weight of each small box be y.

Thus, if  5 large boxes and 3 small boxes have a total weight of 135 kilograms, then we have the equation:

5x + 3y = 135   -------(1)

Thus, if  7 large boxes and 9 small boxes have a total weight of 279 kilograms, then we have the equation:

7x + 9y = 279     ------(2)

Multiply eq 1 by 3 and eq 2 by 1 to get:

15x + 9y = 405   -----(3)

Subtract eq 2 from eq 3 to get:

8x = 126

x = 126/8

x = 15.75 kg

Thus:

5(15.75) + 3y = 135

3y = 135 - 78.75

3y = 56.25

y = 18.75 kg

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The weight of small box and large box is 25pounds and 55 pounds respectively.

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . Example of a Simultaneous equation include;

3x+2 = y equation 1

5x +3 = 2y equation 2

Represent the weight of small box by x and the weight of large box by y

x + y = 80 equation 1

70x + 60y = 5050 equation 2

therefore 70( 80-y) + 60y = 5050

5600 -70y +60y = 5050

-10y = 5050-5600

-10y = -550

y = -550/-10

y = 55 pounds

From equation 1

x +55 = 80

x = 80-55

x = 25 pounds

therefore the weight of small box is 25 pounds and the weight of large box is 55 pounds

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Answer: 8.4

Step-by-step explanation:

Rearrange the equation: 4x = 40 - 8y

Substitute 0.8 into the equation

— 4x = 40 - 8(0.8) = 40 - 6.4 = 33.6

Divide both sides by 4

— x = 8.4

Answer:

8.4

Step-by-step explanation:

8 x .8= 6.4

40 - 6.4 = 33.6

33.6 / 4= 8.4

4 x 8.4= 33.6

8 x .8= 6.4

33.6 + 6.4 = 40

Answer:

If the entire mass of the Milky Way was due to gas and stars, how would you expect the rotational speed of a star near the edge of the galaxy to compare to the rotational speed of a star near the center?

Step-by-step explanation:

To get 10, we can create an expression which sums up the

[tex]\left(3\cdot 4+8\right)\ -\left(7\ +\ 3\right)[/tex] = 10

In mathematics, the sum refers to the result of adding two or more numbers or quantities together. It is a basic arithmetic operation that yields a total or a whole quantity.

Here, we can make a solution of 20 by

3 ×  4 + 8

= 20

We know that 20 - 10 = 10

So another expression must be 10 and it is possible by:

7 + 3

So, we have the expression which has a solution 10

(3 × 4 +8 ) - (7 + 3)

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Answer:

Step-by-step explanation:

(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:

N = -0.3(0) + 250

N = 250

Therefore, the N-intercept is (0, 250).

(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.

(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:

0 = -0.3t + 250

0.3t = 250

t = 250/0.3

t ≈ 833.33

Therefore, the t-intercept is approximately (833.33, 0).

(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.

Therefore, the only solution to the system of inequalities is (0,0).

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.

Here,

Let's check each point if it satisfies the given system of inequalities:

1. (-2,5)

3x + 4 = -7, which is true since -3(-2) + 4 = 10

y < 3x - 2, which is true since 5 < 3(-2) - 2

Therefore, (-2,5) is NOT a solution to the system of inequalities.

2. (0,0)

3x + 4 = 4, which is true since -3(0) + 4 = 4

y < 3x - 2, which is true since 0 < 3(0) - 2

Therefore, (0,0) is a solution to the system of inequalities.

3. (3,13)

3x + 4 = -5, which is false since -3(3) + 4 = -5

y < 3x - 2, which is false since 13 < 3(3) - 2

Therefore, (3,13) is NOT a solution to the system of inequalities.

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The correct answer is d i.e. The variation of the data points.

What is mean absolute deviation?

Mean absolute deviation (MAD) is a measure that describes the average distance between each data point in a set and the mean of that set. It is a way of measuring how spread out the data points are from the average or central value.

The correct answer is d. The mean absolute deviation tells you about the variation of the data points in a set. Specifically, it measures how much the data points deviate, on average, from the mean value of the set.

A higher mean absolute deviation indicates that the data points are more spread out from the mean, while a lower mean absolute deviation indicates that the data points are closer to the mean. The mean absolute deviation is useful for comparing the amount of variation between two or more sets of data, and can provide insight into the consistency or stability of the data.

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The sum of the first 5 terms of the series is 121.

An infinite number of terms with a fixed ratio between them are added to form a geometric series.

The series is a geometric series with the first term (a) equal to 1 and the common ratio (r) equal to 3.

To find the sum of the first 5 terms of the series, we can use the formula:

[tex]\rm S = a(1 - r^n) / (1 - r)[/tex]

where S is the sum of the first n terms of the series. Substituting the values we get:

[tex]\rm S = 1(1 - 3^5) / (1 - 3) \\\\= 1(1 - 243) / (-2)\\\\ = -242 / -2 \\\\= 121[/tex]

Therefore, the sum of the first 5 terms of the series is 121.

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