What are the solutions to the following system of equations?

x − y = 6
y = x2 −6

The angle of incline of the tram is 19.4 degree.

According to the question:

h=(10450-6311)ft

= 4139 ft

We know that, sinθ=Opposite/Hypotenuse

So, sinθ=h/12463

sinθ= 4139/12463

sinθ= 0.3321

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=19.39

θ≈19.4°

Therefore, the angle of incline of the tram is 19.4 degree.

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Answer:

B

Step-by-step explanation:

Combine like terms

8x + x = 9x

Put the numbers in the correct format

x³ + 9x + 5

This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.

I hope this helps and please mark me as brainliest!

Answer:

The answer is B

Step-by-step explanation:

It is a cubic and a trinomial

The polynomial 11x⁵  + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.

What is an expression?

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)

Given polynomials are:

P = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5

Q = (2x² + 1) (4x² - 3)

Simplify the polynomial Q = (2x² + 1) (4x² - 3):

Q = (2x² + 1) (4x² - 3)

Q = 2x²(4x² - 3) + 1(4x² - 3)

Q = 8x⁴ - 6x² + 4x² - 3

Add like terms:

Q = 8x⁴ - 2x² - 3

Now calculate P + Q

P + Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3

Combine like terms:

P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³  + (- 7x² - 2x²) + 5 - 3

P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2

Now calculate P - Q

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3

P - Q = 11x⁵  + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)

P - Q = 11x⁵  + x⁴ - 4x³ - 5x² + 8

Now calculate Q - P

Q - P =  8x⁴ - 2x² - 3 - (11x⁵  + 9x⁴ - 4x³ - 7x² + 5)

Q - P =  8x⁴ - 2x² - 3 - 11x⁵  - 9x⁴ + 4x³ + 7x² - 5

Combine like terms:

Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5

Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8

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Answer:

m=-25

Step-by-step explanation:

m=Δh/Δt

(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)

m=(4500-5000)/(20-0)

m=-500/20

m=-25

Answer:

i think For every hour Harriett bikes, the distance she travels increases by 12 miles

The value of x and y by using the given expressions is x = -5/2 and y = -15/2.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.

Simplifying the expressions for x and y

The given expressions are:

x - y = 5           —--- 1

x + y = -10             —---- 2

Adding the expression 1 and 2, we get,

2x = -5

x = -5/2

Subtracting the expression 1 and 2, we get,

-2y = 15

y = -15/2

Hence, the value of x and y by using the given expressions is x = -5/2 and y = -15/2.

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Answer:

love

salvation

Step-by-step explanation:

Answer:

Hey!

Step-by-step explanation:

If A and B are sets, then the relative complement of A in B, also termed the set difference of B and A, is the set of elements in B but not in A.

Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle.

Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer:

The lengths of the sides are 20 cm and 20 cm

Step-by-step explanation:

Given

Perimeter, P = 80cm

Represent the length and width with L and W, respectively;

\(P= 2*(L + B)\)

Substitute 80 for P

\(80 = 2 * (L + B)\)

Divide through by 2

\(40 = L + B\)

\(L + B = 40\)

Make L the subject of formula

\(L = 40 - B\)

Area of a rectangle is calculated as thus;

\(Area = L * B\)

Substitute 40 - B for L

\(Area = (40 - B) * B\)

Express this as a function

\(A(B) = (40 - B)* B\)

\((40 - B)* B = A(B)\)

Set A(B) = 0 to determine the roots

Hence;

\((40 - B)* B = 0\)

\(40 - B = 0\) or \(B = 0\)

\(40 = B\) or \(B = 0\)

\(B = 40\) or \(B = 0\)

The maximum area of a rectangle occurs at half the sum of the roots;

So;

\(B= \frac{B_1 + B_2}{2}\)

\(B= \frac{40+0}{2}\)

\(B= \frac{40}{2}\)

\(B = 20\)

Recall that \(L = 40 - B\)

\(L = 40 - 20\)

\(L = 20\)

Hence the lengths of the sides are 20 cm and 20 cm

Answer:

2

Step-by-step explanation:

(n+1)!=1×2×...×(n-1)×n×(n+1)

6*(n-1)!=1×2×...×(n-1)

--> n×(n+1)=6

-->n=2

Answer:15

Step-by-step explanation: 7 and a half times 2 is 15

the answer to that question is 15.

Answer:

 A) the curves are ellipses

 B) 161 yards

 C) 366 yards

Step-by-step explanation:

A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.

B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*

So, the approximate length of side c is ...

c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c  

C) The perimeter of the pond is the sum of the side lengths, so will be ...  

80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter  

Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...

C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))    where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.

For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find  C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide

This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.

The attachment shows the shape if the curve is actually an ellipse.

The step that best describes the one step of photosynthesis is  Mitochondria transform solar energy into sugar.

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

Given are the processes regarding photosynthesis.

The step that best describes the one step of photosynthesis is  Mitochondria transform solar energy into sugar. Plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

Therefore, the step that best describes the one step of photosynthesis is  Mitochondria transform solar energy into sugar.

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Answer:

9.3

Step-by-step explanation:

To move one decimal you move one digit left.

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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Answer: 250 m/s

Step-by-step explanation:

900 km/h * 1000m/3600s = 250 m/s

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

none of the above.

the leasing coefficient needs to be 49.

Answer:

Step-by-step explanation:

To find 50% of 950, you can multiply 950 by 0.50. 50% is the same as 0.50.

The calculation is: 50% * 950 = 0.50 * 950 = <<50*.01*950=475>>475

So, 50% of 950 is 475.

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

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The value of v in terms of i and j is v = 3i + 3j

We are given that;

P₁ = (-5,3), P₂ = (-2,6)

Now,

To find the component form of a vector, we need to subtract the coordinates of the initial point from the coordinates of the terminal point3.

We have P₁ = (-5,3) and P₂ = (-2,6).

v = P₂ - P₁ = (-2 - (-5), 6 - 3) = (3, 3). We can write v in terms of i and j as v = 3i + 3j.

Therefore, by vectors the answer will be v = 3i + 3j.

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Answer:

-3, 9

Step-by-step explanation:

The constant is 4.

The following replacements for / missing code / is the most appropriate implementation of the class:

B.

private int numerator;                                                                                 private int denominator;                                                                                   public double fractionToDecimal()                                                                                  {                                                                                                                       return (double) numerator / denominator;                                                                      }

A class is a blueprint that defines the variables and methods that are shared by all objects of a particular type. In object-oriented software, it is also possible to have a large number of objects of the same type with similar properties: rectangles, employee records, video clips, and so on.

You can use the fact that objects of the same type are similar, as bicycle manufacturers do, to create a blueprint for those objects. A class is an object-oriented software blueprint (in the glossary). A class variable holds information that all instances of the class share.

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Answer:

what?

Step-by-step explanation:

Answer:

(See attached file)

Answer:

it will take 450 wave to complete