A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches.

Answer: i think it is 538.4

Step-by-step explanation:

Answer: The game piece is a right trapezoid and its area can be calculated by using the formula:

Area = (b1 + b2) * h / 2

Where b1 and b2 are the lengths of the bases (the parallel sides of the trapezoid) and h is the height.

We can use the information given to find the area of the game piece:

A square with sides measuring 3 inches is attached to a triangle, giving a total combined length on one side of 10 inches.

So, the length of the base of the triangle is 7 inches (10 inches - 3 inches) and the height of the trapezoid is 3 inches.

Now we can substitute these values into the formula:

Area = (3 + 7) * 3 / 2

Area = 10 * 3 / 2

Area = 15 in²

So the area of the game piece is 15 square inches.

Step-by-step explanation:

With 70% off the regular price, a dishwasher, regularly priced at $519.89, will be $155.97 only. The answer is C.

Discount is the deduction in the price of a good or service. When this reduced price is expressed in percentage then we call it a discount rate.

If the discount is given in percent, then the amount of discount can be found by using the formula:

Amount of Discount = Regular Price × Rate of Discount

If the regular price of a dishwasher is $519.89, and the discount rate is 70%, using the formula, solve for the discount value.

Amount of Discount = $519.89 x 70%

Amount of Discount = $519.89 × 0.70

Amount of Discount = $363.92

To get the final price of the dishwasher, subtract the discount value from the original or regular price.

price = $519.89 - $363.92

price = $155.97

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The graph shows the relationship between the number of students who attend a homecoming dance and the amount of money raised. The graph is a straight line with a slope of $10, passing through the point (0, $80) and another point on the line. The fixed cost for decorations is $80, which is a constant cost that does not depend on the number of students attending the dance. For each additional student that attends the dance, the amount of money raised will increase by $10.

Answer:

y = 10x - 80

Therefore your answer is B, hope this helps! :)

a. the linear approximating polynomial L(x) is 1+x

b. the quadratic approximating polynomial Q(x) is 1 + x + x^2

a. The linear approximating polynomial for a function f(x) centered at the point a can be found using the formula:

L(x) = f(a) + f'(a)(x - a)

where f'(a) is the derivative of the function evaluated at the point a.

b. The quadratic approximating polynomial for a function f(x) centered at the point a can be found using the formula:

Q(x) = f(a) + f'(a)(x - a) + (1/2)f''(a)(x - a)^2

where f''(a) is the second derivative of the function evaluated at the point a.

c. To approximate the quantity 1/(1-x) using the linear and quadratic approximating polynomials obtained in parts a. and b., we need to first find the values of f(a), f'(a), f''(a) at the given point a.

Let's assume a = 0 for simplicity.

a. Linear Approximation:
To find the linear approximating polynomial, we need to evaluate f(0) and f'(0).

f(x) = 1/(1-x)

f(0) = 1/(1-0) = 1

To find f'(0), we need to take the derivative of f(x) and evaluate it at x = 0.

f'(x) = 1/(1-x)^2

f'(0) = 1/(1-0)^2 = 1

Using the linear approximation formula, we can now find the linear approximating polynomial L(x):

L(x) = f(0) + f'(0)(x - 0) = 1 + 1(x - 0) = 1 + x

b. Quadratic Approximation:
To find the quadratic approximating polynomial, we need to evaluate f''(0).

f''(x) = 2/(1-x)^3

f''(0) = 2/(1-0)^3 = 2

Using the quadratic approximation formula, we can now find the quadratic approximating polynomial Q(x):

Q(x) = f(0) + f'(0)(x - 0) + (1/2)f''(0)(x - 0)^2 = 1 + 1(x - 0) + (1/2)2(x - 0)^2 = 1 + x + x^2

Now, we can use these linear and quadratic approximating polynomials to approximate the given quantity 1/(1-x). For example, if we want to approximate the value of 1/(1-x) at x = 0.1, we can substitute x = 0.1 into both L(x) and Q(x) to get the approximate values.

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Answer:

Addition Property of Equality

If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.

Answer:

Acute angle

OLN angle

Step-by-step explanation:

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

Answer: 4

Step-by-step explanation:

2x6 = 3xd

12=3d

d=4

You can trust this answer because I answered it right now and it was correct. <3

The value of length of segment d is,

⇒ d = 4

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle is shown in figure.

Now, We can formulate;

⇒ 6 × 2 = d × 3

Solve for d;

⇒ 12 = 3d

⇒ 3d = 12

⇒ d = 12/3

⇒ d = 4

Thus, The value of length of segment d is,

⇒ d = 4

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Answer:

(2) The statement is true.

-1 < r < 1

The answer to find the distance each student walked on map is , (a)  Aaron walked from the library to the school and then to the gym is:0.56 m , (b) José walked from the motel to the restaurant and then to the movie theater is: 325.1 m , (c)  Shanti walked from the gym to the motel and then to the movie theater is: 0.648 m.

scale refers to the ratio between the distance on a map and the corresponding distance on the ground or real-world surface being depicted. In other words, it is the relationship between the size of the map and the actual size of the area being represented.

Scale is an important concept in cartography because it affects the level of detail and accuracy that can be shown on a map. Large-scale maps show a smaller area in greater detail, while small-scale maps show a larger area with less detail.

a) To find the distance Aaron walked from the library to the school, we need to measure the distance on the map using the ruler. According to the key, the distance between point A and point D is 3 cm. Using the scale of 1:12,500, we can calculate the actual distance as follows:

Actual distance = Map distance ÷ Scale

Actual distance = 3 cm ÷ 12,500

Actual distance = 0.00024 km or 0.24 m

Similarly, the distance between point A and point B is given by:

Map distance = 4 cm

Actual distance = 4 cm ÷ 12,500

Actual distance = 0.00032 km or 0.32 m

Therefore, the total distance that Aaron walked from the library to the school and then to the gym is:

Total distance = Distance from A to D + Distance from A to B

Total distance = 0.24 m + 0.32 m

Total distance = 0.56 m

b) To find the distance José walked from the motel to the restaurant, we need to measure the distance on the map using the ruler. According to the key, the distance between point C and point E is 4.51 m. However, the scale of the map is in kilometers, so we need to convert meters to kilometers:

Map distance = 4.51 cm

Actual distance = 4.51 cm ÷ 100,000

Actual distance = 0.0000451 km or 0.0451 m

Similarly, the distance between point E and point F is given by:

Map distance = 3.5 cm

Actual distance = 3.5 cm ÷ 12,500

Actual distance = 0.00028 km or 0.28 m

Therefore, the total distance that José walked from the motel to the restaurant and then to the movie theater is:

Total distance = Distance from C to E + Distance from E to F

Total distance = 0.0451 km + 0.28 m

Total distance = 0.3251 km or 325.1 m

c) To find the distance Shanti walked from the gym to the motel, we need to measure the distance on the map using the ruler. According to the key, the distance between point B and point D is 41 mm or 4.1 cm. Using the scale of 1:12,500, we can calculate the actual distance as follows:

Actual distance = Map distance ÷ Scale

Actual distance = 4.1 cm ÷ 12,500

Actual distance = 0.000328 km or 0.328 m

Similarly, the distance between point D and point F is given by:

Map distance = 4 cm

Actual distance = 4 cm ÷ 12,500

Actual distance = 0.00032 km or 0.32 m

Therefore, the total distance that Shanti walked from the gym to the motel and then to the movie theater is:

Total distance = Distance from B to D + Distance from D to F

Total distance = 0.328 m + 0.32 m

Total distance = 0.648 m

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Hope this help!!!

Have a nice day!!!

The correct answer is option (d), where X is 9 and Y is 3. Option (a), where X is 9 and Y is 6, is incorrect because Y is modified in the third step of the pseudo-code. Option (b), where X is 0, is also incorrect because X is modified in the second step. Option (c), where X is 9 and Y is still 9, is also incorrect because Y is modified in the third step.

The given pseudo-code consists of three steps:

Set Z = X

Set X = Y

Set Y = Y - Z

Using the initial values X = 6, Y = 9, and Z = 0, we can work through each step to determine the final values of X, Y, and Z:

Set Z = X, so Z = 6 and the values are X = 6, Y = 9, and Z = 6.

Set X = Y, so X = 9 and the values are X = 9, Y = 9, and Z = 6.

Set Y = Y - Z, so Y = 3 and the final values are X = 9, Y = 3, and Z = 6.

Therefore, the correct answer is option (d), where X is 9 and Y is 3. Option (a), where X is 9 and Y is 6, is incorrect because Y is modified in the third step of the pseudo-code. Option (b), where X is 0, is also incorrect because X is modified in the second step. Option (c), where X is 9 and Y is still 9, is also incorrect because Y is modified in the third step.

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ANSWER:

14

EXPLANATION:

Given that a number is multiplied by seven, and the product is increased by two, the result is one hundred.

Let's express this mathematically(equation).

Let the number be represented by X.

A number X is multiplied by seven = 7X

The product is increased by 2 = 7X + 2

The result is 100 = 7X + 2 = 100

We have:

7X + 2 = 100

Solve for X:

Subtract 2 from both sides:

7X + 2 - 2 = 100 - 2

7X = 98

Divide both sides by 7:

Therefore the number is 14

The maximum distance Frank can travel would be 10 miles.

What is maximum distance?

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

From given question,

taxicabs charge for first mile = $1.00

for each additional mile = $0.30

The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.

Therefore, The maximum distance Frank can travel would be 10 miles.

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Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.

There are 6 values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤x≤ 1.

Given

A snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

The values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s are,

At t = 0

s,=>Y₀= 0 cm

At t =1

s,=>Y₁= 0 cm

At t = 2

s,=>Y₂= 0 cm

At t =3

s,=>Y₃= 0 cm

At t =4

=>Y₄= 0 cm

At t = 5 s,

=>Y₅=0 cm

At t = 6

s,=>Y₆= 0 cm

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The derivative \(\frac{dy}{dx}\) can be found using implicit differentiation. By differentiating each term with respect to \(x\) and simplifying, we obtain

\(\frac{dy}{dx}=\frac{14xy^{5}-10x^{4}-7x^{2} }{35x^{2} y^{4} -30xy^{5} }\)  

To find \(\frac{dy}{dx}\)  by implicit differentiation, we differentiate each term of the equation with respect to \(x\) using the chain rule. We treat \(y\) as a function of  \(x\) and differentiate it accordingly.

Differentiate each term of the equation with respect to

\(x\), treating \(y\) as a function of \(x\).

The derivative of \(2x^{5}\) with respect to \(x\) is \(10x^{4}\).

The derivative of \(7x^{2} y\) with respect to \(x\) is \(14xy\).

The derivative of \(-6xy^{5}\) with respect to \(x\) is \(-6y^{5} -30xy^{4}\).

The derivative of -2 with respect to \(x\) is 0.

Simplify the derivatives obtained in Step 1 and solve for \(\frac{dy}{dx}\).

The equation becomes \(10x^{4} +14xy-6y^{5} -30xy^{4} =0\).

Rearranging the terms, we have \(14xy^{4} -10x^{4} -7x^{2} =6xy^{4}\).

Dividing both sides by  \(35x^{2} y^{4} -30xy^{5}\) gives us the final result: \(\frac{dy}{dx}=\frac{14xy^{5}-10x^{4}-7x^{2} }{35x^{2} y^{4} -30xy^{5} }\)

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The system of equations that can be used to represent the cost of each type of ticket is  2a + 3c = 30.75   and 3a + 2c = 33   .

In the question ,

it is given that ,

a theater sells adult and child tickets for its play .

the cost for 2 adult ticket and 3 child ticket is = $30.75

and the cost for 3 adult tickets and 2 child tickets = $33.00

let the cost of 1 adult ticket = "a"   and

let the cost of 1 child ticket = "c"

So, According to the question ,

the equation to represent both the situation is

2a + 3c = 30.75   and

3a + 2c = 33

Therefore , The system of equations that can be used to represent the cost of each type of ticket is  2a + 3c = 30.75   and 3a + 2c = 33   .

The given question is incomplete , the complete question is

A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let "a' represent the cost of 1 adult ticket, and "c" represent the cost of 1 child ticket . Write a system of equations can be used to determine the cost of each type of ticket ?

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Answer:

(11 x 7) + ( 11x4)=

77+44= 121

Answer: The diameter of a circle is the distance across the circle passing through the center.

To find the diameter of a circle with a radius of 100 km, we can simply double the radius, since the diameter is twice the length of the radius.

Therefore, the diameter of a circle with a radius of 100 km is:

2 x 100 km = 200 km

So the diameter is 200 km.

Step-by-step explanation:

The proportion that could be used to determine if the figures represent a dilation is Two-thirds = StartFraction 5 Over 8 EndFraction.

To determine if the figures represent a dilation, we need to compare the ratios of corresponding sides of the two rectangles. In a dilation, corresponding sides are proportional, meaning that the ratios of their lengths are equal.

In this case, we have the first rectangle with a length of 5 and a width of 2, and the second rectangle with a length of 8 and a width of 3. By comparing the lengths, we have the proportion Two-thirds = StartFraction 5 Over 8 EndFraction.

If the proportion holds true, it means that the lengths are proportional and the figures represent a dilation. The given proportion represents the relationship between the lengths of the corresponding sides of the rectangles, and if it is satisfied, it indicates that the figures are dilations of each other.

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Answer:

i think it's going to be 3

Answer:2,3,5,7,11,13,16,17,19,23,27,31,37,

Step-by-step explanation:Percent change = 56 - 32 |32| × 100% = 24 32 × 100 = 75% (increase). Where: 32 is the old value and 56 is the new value. In this case we have a positive

Answer:

Solution: (-1, 1) and (10/3, 16/3) are Intercepts.

Step-by-step explanation:

Set the equations equal to themselves and solve for x and y.

Hope this helps! :)

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}} }: \)

\( \underline{ \underline{ \text{To \: find}}} : \)

Let E ( -3 , 2 ) be ( x₁ , y₁ ) & H ( 1 , -1 ) be ( x₂ , y₂ )

\( \underline{ \underline{ \text{Solution}}} : \)

\( \sf{Midpoint = ( \frac{x_{1} + x_{2}}{2} \: , \frac{ y_{1} + y_{2}}{2} )}\)

⟶ \( \sf{( \frac{-3 + 1}{2} \: , \frac{2 + ( - 1)}{2} )}\)

⟶ \( \sf{( \frac{-2}{2} \:, \frac{2 - 1}{2} )}\)

⟶ \( \sf{( -1 \: ,\frac{1}{2} )}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{(-1 \: , \: \frac{1}{2} )}}}}}}}\)

Hope I helped ! ♡

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