can you please solve this in words and mathematical
expressions?
Part D: Knight's Tour (7 marks) How many distinct squares can a chess knight reach after n moves on an infinite chessboard? (The knight's moves are L-shaped: two squares either up, down, left, or righ

Answer:

B) 2 + 3x = 8

Step-by-step explanation:

Option B is not an expression as expressions do not have equal signs.

Answer: several hours Which is an ordered pair on the line(2.5,14) (2.25,12) (1.25,5) (1.5,9) Jonah's house and his grandparents' house are 8,046.72 meters apart. What is this distance in miles 4 miles 5 miles 7 miles 8 miles

Step-by-step explanation:

Answer:

54.7599

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

10.6 > 11

7.067 > 7

4.78 > 5

11+7+5=23

Answer:

Western Kentucky University

Step-by-step explanation:

Western Kentucky University is a public university in Bowling Green, Kentucky. It was founded by the Commonwealth of Kentucky in 1906, though its roots reach back a quarter-century earlier. It operates regional campuses in Glasgow, Elizabethtown-Fort Knox, and Owensboro.

Answer: Western Kentucky University

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

\(\frac{3\pi }{4}\) is an angle in the second quadrant where sin > 0 and cos < 0

cos(\(\frac{3\pi }{4}\) )

= cos (π - \(\frac{3\pi }{4}\) )

= - cos (\(\frac{\pi }{4}\) )

= - \(\frac{\sqrt{2} }{2}\)

and similarly

sin (\(\frac{3\pi }{4}\) )

= sin (\(\frac{\pi }{4}\) )

= \(\frac{\sqrt{2} }{2}\)

Answer:

I think it's -180

Step-by-step explanation:

He keeps descending -15 feet every 1 minute

1 x -15 = -15

2 x -15 = -30

12 x -15 = -180

Answer:

\(y=- \sqrt{\dfrac{1}{2}x}\)

Step-by-step explanation:

Parent functions are the simplest form of a given family of functions.

Transformations of graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

\(\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a \\ & \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a \\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a \end{aligned}\)

\(y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}\)

Given parent function:

\(y=\sqrt{x}\)

Horizontal stretch:

As this is a horizontal stretch, the x variable should be multiplied by a value between zero and 1:

\(\implies y= \sqrt{\dfrac{1}{2}x}\)

Reflected in the x-axis:

To reflect a function in the x-axis, simply make the function negative:

\(\implies y=- \sqrt{\dfrac{1}{2}x}\)

The resulted integral is \(I=\frac{8}{3} \times \frac{5 \pi}{16}=\frac{5 \pi}{6}\).

In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or just an added to the initial, the derivative of which is initial function (indefinite integral).

Computation of the integrals:

Step 1: We employ the equations in cylindrical coordinates.

\(x=r \cos \theta, y=r \sin \theta, z=z\)

Thus, in cylindrical coordinate system,

E lies above the paraboloid \(z=r^{2}\) and below the plane \(z=2 r \sin \theta\) .

Therefore, the top part E is  \(z=2 r \sin \theta\) is the cross-section between paraboloid and the plane.

Now, at the cross-section use, \(r^{2}=2 r \sin \theta\) and  \(z=2 r \sin \theta\) .

Thus, the limits are given as ;

\(r^{2} \leq z \leq 2 r \sin \theta \quad 0 \leq r \leq 2 \sin \theta\)

Apply the limits as compute the integration;

\(\begin{aligned}I=\iiint_{E} z d V &=\int_{0}^{\pi} \int_{0}^{2 \sin \theta} \int_{\tau^{2}}^{2 r \sin \theta} z r d r d z d \theta \\&=\int_{0}^{\pi} \int_{0}^{2 \sin \theta}\left[\frac{z^{2}}{2}\right]_{r^{2}}^{2 r \sin \theta} r d r d \theta \\&=\frac{1}{2} \int_{0}^{\pi} \int_{0}^{2 \sin \theta}\left[4 r^{2} \sin ^{2} \theta-r^{4}\right] r d r d \theta\end{aligned}\)

                       \(\begin{aligned}&=\frac{1}{2} \int_{0}^{\pi} \int_{0}^{2 \sin \theta}\left[4 r^{3} \sin ^{2} \theta-r^{5}\right] d r d \theta \\&=\frac{1}{2} \int_{0}^{\pi}\left[r^{4} \sin ^{2} \theta-\frac{r^{6}}{6}\right]_{0}^{2 \sin \theta} d \theta \\&=\frac{8}{3} \int_{0}^{\pi} \sin ^{6} \theta d \theta\end{aligned}\)

Step 2: Now, calculate for the \(I_{1}=\int_{0}^{\pi} \sin ^{6} \theta d \theta\).

 \(\begin{aligned}\sin ^{6} \theta &=\left(\sin ^{2} \theta\right)^{2} \times \sin ^{2} \theta \\&=\left[\frac{1-\cos 2 \theta}{2}\right]^{2} \times\left[\frac{1-\cos 2 \theta}{2}\right] \\&=\frac{1}{8}\left(1-2 \cos 2 \theta+\cos ^{2} 2 \theta\right)(1-2 \cos 2 \theta) \\&=\frac{1}{8}\left(1-2 \cos 2 \theta+\frac{1+\cos 4 \theta}{2}\right)(1-2 \cos 2 \theta)\end{aligned}\)

         \(\begin{aligned}&=\frac{1}{16}(3-4 \cos 2 \theta+\cos 4 \theta)(1-2 \cos 2 \theta) \\&=\frac{1}{32}(10-15 \cos 2 \theta+6 \cos 4 \theta-\cos 6 \theta)\end{aligned}\)

Further compute the value of

   \(\begin{aligned}I_{1} &=\int_{0}^{\pi} \sin ^{6} \theta d \theta \\&=\frac{1}{32} \int_{0}^{\pi}(10-15 \cos 2 \theta+6 \cos 4 \theta-\cos 6 \theta) d \theta \\&=\frac{1}{32}\left[10 \theta-\frac{15 \sin 2 \theta}{2}+\frac{3 \sin 4 \theta}{2}-\frac{\sin 6 \theta}{6}\right]_{0}^{\pi} \\&=\frac{5 \pi}{16}\end{aligned}\)

Therefore, the obtained integral is  \(I=\frac{8}{3} \times \frac{5 \pi}{16}=\frac{5 \pi}{6}\).

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The complete question is -

Use cylindrical or spherical coordinates, whichever seems more appropriate. Evaluate ∫∫∫E z dV, where E lies above the paraboloid

z = x² + y²

and below the plane z = 2y. Use either the Table of Integrals or a computer algebra system to evaluate the integral.

The stopping distance for a car traveling at 55 mph is 60,500 feet.

The equation to solve this problem would look like the following

s = v²/k

The stopping distance s will increase (varies directly) as the velocity increases.

Putting in the values we know

45 = 30²/k

⇒ k = 45/900

⇒ k = 0.05

Now,

at 55 mph we would have

    s = 55²/0.05

⇒ s = 3025/0.05

⇒ s = 60,500

s = 60,500 feet to stop

Complete Question:

The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at 30 mph requires 45ft to stop, find the stopping distance for a car traveling at 55 mph.

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Answer:

y=-x+`1

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y=mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Let me know if you have any questions, hope this helps! (:

Answer:

4a +6

Step-by-step explanation:

Simplify the expression

Hope it helps! :)

Please mark me brainliest

Answer:

4a+6

Step-by-step explanation:

To simplify you need to:

2/3(6a+9)=

4a+6

Answer:

\(( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8\)

Answer:

60%

Step-by-step explanation:

The member of females before they leave the team is 16. If 4 leave the team, then it is 12. Hence, the current amount of members if 30. 18 divided by 30 equals 0.6, which makes 60%.

ANSWER:

X=-3x-11

Y=3x/4-5/2

Step-by-step explanation:

To calculate the purchase price of the property and the cost of financing, we need to determine the present value of the down payment and the series of payments. Using the interest rate of 5% per annum compounded annually and the given payment schedule, we can find the purchase price and the cost of financing.

The purchase price of the property can be calculated by finding the present value of the down payment and the series of payments. The down payment is $8725.00, which is the initial cash outflow. The payments of $1465.00 are made at the end of every three months for 10 years, totaling 40 payments.

To find the present value, we need to discount each payment using the interest rate of 5% per annum compounded annually. The formula to calculate the present value of a series of payments is:

Present Value = Payment \(\times \left(\frac{1 - (1 + r)^{-n}}{r}\right)\)

where Payment is the periodic payment, r is the interest rate, and n is the total number of payments.

By substituting the values into the formula, we find that the purchase price of the property is approximately $95,895.14.

The cost of financing can be calculated by subtracting the sum of the down payment and the total payments from the purchase price. In this case, the cost of financing is approximately $87,170.14.

Therefore, the purchase price of the property is $95,895.14, and the cost of financing is $87,170.14.

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Answer:it’s C

Step-by-step explanation:

The system of inequalities can be used to determine, if The selling price of model A was less than $8,000, The selling price of model B was at most $10,000, are x < 8000 × 0.88, and y < 1000 × 0.85.

The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.

It is one of the most crucial things for a business to decide. It is significant since it determines whether it will survive. Sales of a product are directly impacted by its price.

Given:

The selling price of model A was less than $8,000,

The selling price of model B was at most $10,000,

The price of model A is decreasing at a rate of 12% each year,

The price of model B is decreasing at a rate of 15% each year,

Write the inequality as shown below,

Assume the selling price of A is x,

x < 8000

Assume the selling price of B is y,

y < 1000

The decreased selling price of A,

x < 8000 × (1 - 0.12) = x < 8000 × 0.88

The decreased selling price of B,

y < 1000 × (1 - 0.15) = y < 1000 × 0.85

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Answer:

X=-4, y=-5

Step-by-step explanation:

Y=2X+3

y=-x-9

substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:

-x-9=2x+3

-x-9+9=2x+3+9

-x=2x+12

-3x=12

x=-4

solve for y by inserting x value (2) into either equation

y=2x+3

y=2(-4)+3

y=-8+3

y=-5

check answer by inserting x and y into either equation to make sure they equal:

y=2x+3

-5=2(-4)+3

-5=-8+3

-5=-5

or

y=-x-9

-5=-(-4)-9

-5=-5

Answer:

you cant

Step-by-step explanation:

good song

Answer:

A. 5xy + 9yz + 3zx + 5x – 4y

Step-by-step explanation:

uhh credit for this answer goes to Blaise Pascal for inventing calculators .-.

Hewo.

Answer below.

----Steps----

Add the expressions.

5xy+3xz+9yz+5x−4y

Brainliest, if it helps.

Answer:2 tablespoons of milk

Step-by-step explanation:

If nolan divides 6 by 2 he gets 3 cups of shredded cheese and to get the same results he would have to divide the milk portion too. 4/2 is 2 so he would need 2 tablespoons of milk.

Answer:88

Step-by-step explanation:

1.10c+2.35s=294.20

C+S=172

1.10c+2.35s=294.20 if you multiply by 100.

110c+235s=29420

-110 (cones + sundaes =172)

-110c-110s=-18920

125s/125=10500/125

S= 84

C+84=172

-84. -84

C= 88

The answer to the given linear programming problem, which is solved using the simplex method, is as follows:

The optimal solution to minimize the objective function Z = X1 + 2X2 is X1 = 20 and X2 = 0, with the objective function value Z = -100.

To solve the problem, we'll first convert the inequalities to equations by introducing slack and surplus variables. Then we'll set up the initial simplex tableau and iterate through the simplex algorithm until we reach an optimal solution.

⇒ Convert the inequalities to equations:

A. X1 + 3X2 + S1 = 90 (where S1 is the slack variable)

B. 8X1 + 2X2 + S2 = 160 (where S2 is the slack variable)

C. 3X1 + 2X2 + S3 = 120 (where S3 is the slack variable)

D. X2 + S4 = 70 (where S4 is the surplus variable)

⇒ Set up the initial simplex tableau:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

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

Z       | -1 | -2 |  0 |  0 |  0 |  0 |  0  |

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

S1      |  1 |  3 |  1 |  0 |  0 |  0 | 90  |

S2      |  8 |  2 |  0 |  1 |  0 |  0 | 160 |

S3      |  3 |   2 |  0 |  0 |  1 |  0 | 120 |

S4      |  0 |   1 |  0 |  0 |  0 | -1 | 70  |

⇒ a) Select the most negative coefficient in the Z row, which is -2. Choose the corresponding column as the pivot column (X2 column).

b) Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 70/1 = 70. Thus, the pivot row is S4.

c) Perform row operations to make the pivot element (1 in S4 row) equal to 1 and eliminate other elements in the pivot column:

  - Divide the pivot row by the pivot element (1/1 = 1).

  - Replace other elements in the pivot column using row operations:

    - S1 row: S1 = S1 - (1 * S4) = 90 - 70 = 20

    - Z row: Z = Z - (2 * S4) = 0 - 2 * 70 = -140

    - S2 row: S2 = S2 - (0 * S4) = 160

    - S3 row: S3 = S3 - (0 * S4) = 120

d) Update the tableau with the new values:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

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

Z       | -1 |  0 |  0 |  0 |  2 | -2 | -140|

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

S1      |  1 |  3 |  1 |  0 |  

0 |  0 | 20  |

S2      |  8 |  2 |  0 |  1 |   0 |  0 | 160 |

S3      |  3 |  2 |  0 |  0 |   1 |  0 | 120 |

S4      |  0 |  1 |  0 |  0 |   0 | -1 | 70  |

e) Repeat steps a to d until all coefficients in the Z row are non-negative.

  - Select the most negative coefficient in the Z row, which is -1. Choose the corresponding column as the pivot column (X1 column).

  - Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 20/1 = 20. Thus, the pivot row is S1.

  - Perform row operations to make the pivot element (1 in S1 row) equal to 1 and eliminate other elements in the pivot column.

  - Update the tableau with the new values.

f) The final simplex tableau is:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

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

Z       |  0 |  0 |  0 |  0 |  1 | -3 | -100|

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

X1      |  1 |  3 |  1 |  0 |  0 |  0 | 20  |

S2      |  0 | -22 | -8 |  1 |  0 |  0 | 140 |

S3      |  0 | -7 | -3 |  0 |  1 |  0 | 60  |

S4      |  0 |  1 |  0 |  0 |  0 | -1 | 70  |

⇒ Read the solution from the final tableau:

The optimal solution is X1 = 20 and X2 = 0, with the objective function value Z = -100.

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Answer:

See Below.

Step-by-step explanation:

Please refer to the diagram below.

We are given that O is the center of the circle, and chords MN and RS are intersected a P. OP is the bisector of ∠MPR. And we want to prove that MN = RS.

We will construct segments OK and OJ such that it perpendicularly bisects MN and RS.

Since OP bisects ∠MPR, it follows that:

\(\displaystyle \angle JPO\cong \angle KPO\)

And since OK and OJ are perpendicular bisectors:

\(m\angle OKP=90^\circ \text{ and } m\angle OJP=90^\circ\)

Therefore:

\(\angle OKP\cong \angle OJP\)

By the Reflexive Property:

\(OP\cong OP\)

Therefore:

\(\Delta OKP\cong \Delta OJP\)

By AAS Congruence.

Hence:

\(OK\cong OJ\)

By CPCTC.

Recall that congruent chords are equidistant from the center.

Thus, by converse, chords that are equidistant from the center are congruent.

Therefore:

\(MN\cong RS\)

Answer:

this is your answer look it once.

for me this was the easy way but i belive there are otheres as well

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

The composite figure can be decomposed into a triangle, a rectangle, and a semicircle to determine its area.

To decompose the composite figure and determine its area, we can break it down into simpler geometric shapes based on its components. In this case, the composite figure consists of a semicircle, a small rectangle, and a triangle.

We can decompose the figure as a triangle, a rectangle, and a semicircle. Here's how:

Triangle: The upper part of the figure is a triangle. Calculate its area using the formula A = (base * height) / 2, where the base and height are the appropriate measurements.

Rectangle: The small rectangle connects the semicircle to the triangle. Find its area by multiplying the length and width.

Semicircle: The bottom part of the figure is a semicircle. Calculate its area using the formula A = (π * r^2) / 2, where r is the radius of the semicircle.

Once you have determined the areas of each individual shape, add them together to find the total area of the composite figure.

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A: The mean and the standard deviation.

To completely specify the shape of a Normal distribution, you need to provide the mean and the standard deviation. The mean determines the center or location of the distribution, while the standard deviation controls the spread or variability of the distribution.

The five number summary (minimum, first quartile, median, third quartile, and maximum) is typically used to describe the shape of a distribution, but it is not sufficient to completely specify a Normal distribution. The five number summary is more commonly associated with describing the shape of a skewed or non-Normal distribution.

Similarly, while the median and quartiles provide information about the central tendency and spread of a distribution, they alone do not fully define a Normal distribution. The mean and standard deviation are necessary to completely characterize the Normal distribution.

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There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

To find the number of acres in a lot, you can use the following formula:

Number of acres = (length in feet) x (width in feet) / 43,560

First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:

Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet

Next, plug these values into the formula:

Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres

Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

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