Which strategy can be used to prove that the diagonals of a parallelogram bisect each other?.

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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The function f(x) = e^x on the interval [0, ln 8] is not a probability density function (PDF) because it violates the requirement of integrating to 1 over its support. The integral of f(x) over the interval [0, ln 8] does not equal 1, which is necessary for a function to be a PDF.

For a function to be a probability density function (PDF), it must satisfy two conditions. First, it must be non-negative for all values within its support. In this case, f(x) = e^x is positive for all x in the interval [0, ln 8], so it satisfies the non-negativity condition. However, the second condition for a PDF is that the integral of the function over its entire support must equal 1. In other words, the area under the curve of the PDF should be equal to 1. To check whether f(x) = e^x is a PDF, we need to integrate it over its support, which is [0, ln 8]. The integral of f(x) from 0 to ln 8 is ∫(0 to ln 8) e^x dx. Evaluating this integral gives [e^x] from 0 to ln 8, which equals e^(ln 8) - e^0. Simplifying further, we have 8 - 1 = 7. Since the integral of f(x) over its support is not equal to 1, f(x) = e^x fails to be a probability density function.

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Answer:

73.5

Step-by-step explanation:

Using the three parallel lines theorem, it divides the transversal that cut the parallel.

We are going to set up a proportion of

\( \frac{distance \: of \: lot}{property \: length} = \frac{width \: of \: lot}{emtire \: lake} \)

For lot

For lot C, the distance of the lot is x since we dont know, The property length is 212, the with of the lot is 69 and the length of the lake is 199.

\( \frac{x}{212} = \frac{69}{199} \)

the answer is 73.5

Absorption costing net income is calculated by subtracting selling and administrative expenses from gross profit.

By subtracting the selling and administrative expenses from the gross profit, we arrive at the absorption costing net income. This net income figure reflects the overall profitability of the company, considering both the operational costs of production and the expenses associated with selling and administration.

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Answer: 1.50

Step-by-step explanation: 1 wing = 0.75 2 wings= 1.50

0.75 times 2 because there are 2 wings

Answer:

the answer is g=2

Step-by-step explanation:

hope this helps!!!

(1) Combining fractions is just a matter of writing each individual fraction in terms of a common denominator. The least common multiple of 6, 4, and 8 is

LCM(6, 4, 8) = 24

since 6×4 = 4×6 = 8×3 = 24. So

2/6 = (2×4)/(6×4) = 8/24

1  1/4 = 4/4 + 1/4 = 5/4 = (5×6)/(4×6) = 30/24

13  4/8 = 104/8 + 4/8 = 108/8 = (108×3)/(8×3) = 324/24

Then

2/6 + 1  1/4 + 13  4/8 = 8/24 + 30/24 + 324/24 = 362/24 = 181/12

(2) We have

LCM(12, 9) = 36

since 12×3 = 9×4 = 36. Then

121  2/12 = 1452/12 + 2/12 = 1454/12 = (1454×3)/(12×3) = 4362/36

781  6/9 = 7029/9 + 6/9 = 7035/9 = 2345/3

Answer:

12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000

Step-by-step explanation:

Answer:

13,000 and 5,000

Step-by-step explanation:

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

x - y = 1 ( add y to both sides )

x = y + 1 ( subtract 1 from both sides )

x - 1 = y , that is

y = x - 1 ← in slope- intercept form

The number of books each boy had based on the 3:1 ratio of the books remaining is 34 books

A ratio is a quantitative expression of the relationship between two values that indicates the relative proportion of each amount.

The initial number of books Ben had = The initial number of books Charlie has

The number of books Ben gave away = 16 books

The number of books Charlie gave away = 28 books

The ratio of the number of books Ben and Charlie had left is 3:1

Let x represent the number of books each of them initially have. Representing the numbers as a ratio gives;

The number of books Ben had left = x - 16

The number of books Charlie had left = x - 28

\(\dfrac{x - 16}{(x - 16) + (x - 28)} = \dfrac{3}{3+1}\)

Which gives; \(\dfrac{x - 16}{(2\cdot x - 44) } = \dfrac{3}{4}\)

4 × (x - 16) = 3 × (2·x - 44)

6·x - 4·x = 3×44 - 4×16 = 68

2·x = 68

x = 68 ÷ 2 = 34

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Answer:

C

Step-by-step explanation:

yards and feet would take to long, miles would be the most efficient

Answer:

22/28 = 11/14

Step-by-step explanation:

no of socks other than blue = 22

total no of socks = 28

so probability= 22/28 = 11/14

Answer:

22

Step-by-step explanation:

8 black 6 blue and 14 white is equal to 28

and if 6 are blue the rest are not so 6-28=22

Answer:

3x+4y=16

3x=-4y+16 (Subtract both sides by 4y)

x=-4/3y+16/3 (Divide both sides by 3 to isolate x variable)

Answer:

didn't I helped you out with that question?

Answer:

-12x

Step-by-step explanation:

-3x2^2

-3x4

=-12x

Answer:

2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.

Step-by-step explanation:

Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.

Simplifying the expression √(36) - 2² gives us the solution as; Option A; 2

We want to simplify the expression;

√(36) - 2²

Now, according to order of operations which is BODMAS, we need to first of all solve what is in the bracket to get;

√(36) = 6

Thus, our expression is now;

√(36) - 2² = 6 - 2²

= 6 - 4

= 2

Thus, simplifying the expression √(36) - 2² gives us the solution as 2.

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The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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the answer might be C=4.5 feet

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Solution:

y=mx^2-5x-2

To find x-intercepts we must equal y to zero:

y=0→mx^2-5x-2=0

This is a quadratic equation, and we can solve it using the quadratic formula:

ax^2+bx+c=0; a=m, b=-5, c=-2

x=[-b +- sqrt( b^2-4ac) ] / (2a)

x=[-(-5) +- sqrt( (-5)^2-4(m)(-2) ) ] / (2(m))

x=[5 +- sqrt(25+8m)] / (2m)

This equation doesn't have solution (no x-intercepts) if:

25+8m<0

This is an inequality. Solving for m: Subtracting 25 both sides of the inequality:

25+8m-25<0-25

8m<-25

Dividing both sides of the inequality by 8:

(8m) / 8 < (-25) / 8

m<-25/8

Answer: The graph of y=mx^2-5x-2 have no x-intercepts for m<-25/8

To prepare a solution equivalent to 0.339 g of copper dissolved, approximately 1.185 g of copper(II) sulfate pentahydrate is required.

To calculate the amount of copper(II) sulfate pentahydrate needed, we need to consider the molar mass of copper and the stoichiometry of the compound. The molar mass of copper is 63.55 g/mol, and the molar mass of copper(II) sulfate pentahydrate is 249.68 g/mol.

First, we need to determine the number of moles of copper in 0.339 g using the molar mass of copper:

0.339 g copper / 63.55 g/mol = 0.00534 mol copper

Since copper(II) sulfate has a 1:1 mole ratio with copper, we can say that the number of moles of copper(II) sulfate pentahydrate needed is also 0.00534 mol.

Next, we need to convert moles to grams using the molar mass of copper(II) sulfate pentahydrate:

0.00534 mol copper(II) sulfate pentahydrate × 249.68 g/mol = 1.185 g copper(II) sulfate pentahydrate

Therefore, approximately 1.185 g of copper(II) sulfate pentahydrate is required to prepare a solution that has the equivalent of 0.339 g of copper dissolved.

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Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

For the given points ...

  \(x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)\)

The distance between x and y is ...

  \(d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45\)

The values of x for which the function S(x) = sin(x) can be replaced by the Taylor 3 polynomial P(x) = sin(x) - x with an error not exceeding 0.006 lie within the range [-0.04, 0.04].

The function S(x) = sin(x) can be approximated by the Taylor 3 polynomial P(x) = sin(x) - x for values of x within the range [-0.04, 0.04] if the error is limited to 0.006.

The Taylor polynomial of degree 3 for the function sin(x) centered at x = 0 is given by P(x) = sin(x) - x + (x^3)/3!.

The error between the function S(x) and the Taylor polynomial P(x) is given by the formula E(x) = S(x) - P(x).

To determine the range of x values for which the error does not exceed 0.006, we need to solve the inequality |E(x)| ≤ 0.006. Substituting the expressions for S(x) and P(x) into the inequality, we get |sin(x) - P(x)| ≤ 0.006.

By applying the triangle inequality, |sin(x) - P(x)| ≤ |sin(x)| + |P(x)|, we can simplify the inequality to |sin(x)| + |x - (x^3)/3!| ≤ 0.006.

Since |sin(x)| ≤ 1 for all x, we can further simplify the inequality to 1 + |x - (x^3)/3!| ≤ 0.006.

Rearranging the terms, we obtain |x - (x^3)/3!| ≤ -0.994.

Considering the absolute value, we have two cases to analyze: x - (x^3)/3! ≤ -0.994 and -(x - (x^3)/3!) ≤ -0.994.

For the first case, solving x - (x^3)/3! ≤ -0.994 gives us x ≤ -0.04.

For the second case, solving -(x - (x^3)/3!) ≤ -0.994 yields x ≥ 0.04.

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Answer:

0=0

Step-by-step explanation: