Solve the system of equations by substitution.

x+y= 0
2x+3y= 3

A. (-3,3)
B. (3,-3)
C. (-1,1)
D. (1,-1)

Answer:

is finding the square root

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.

When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.

The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.

The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.

For example, if you have the number 25 and you want to find its square root, you calculate:

√25 = 5

5 is the square root of 25 because when you square 5 (5^2), you get 25.

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.

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Answer:

25 copies rented

Step-by-step explanation:

r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start

we know on the 6 weeks passed and 4 copies were rented

4 = r1 - 5(6)

4 = r1 - 30; add 30 on both sides

34 = r1

r = 34 - 5t now plug t = 2 in for this function

r = 34 - 5(2)

r = 35 - 10

r = 25 copies rented

Answer: multiply all sides

Step-by-step explanation

Answer:

I'm pretty sure it's 1/2 base x height

Step-by-step explanation: You would multiply the base times the height then multiply that by 1/2

Answer:

The last one.

Step-by-step explanation:

Answer:

y^5 cubed root x^2 y^2

Step-by-step explanation:

edge 2023

At a significance level of α = .01, the null hypothesis is retained.

To determine whether to reject or retain the null hypothesis, we need to compare the calculated t-value with the critical t-value at the specified significance level. In this case, the calculated t-value is -0.36. However, since the question does not provide the sample size or other relevant information, we cannot calculate the critical t-value directly.

In hypothesis testing, the null hypothesis is typically rejected if the calculated test statistic falls in the critical region (beyond the critical value). In this case, since we don't have the critical value, we cannot make a definitive determination based on the provided information.

However, it is important to note that the calculated t-value of -0.36 suggests that the observed sample mean is close to the hypothesized mean, which supports the retention of the null hypothesis. Additionally, a significance level of α = .01 is relatively stringent, making it less likely to reject the null hypothesis. Without further information, it is prudent to retain the null hypothesis.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{360}}}}}\)

Step-by-step explanation:

Steps for finding L.C.M of the given numbers :

\( \star\) First of all find the prime factors of each numbers.

\( \star\) Take out the common prime factors.

\( \star\) Also take out the remaining prime factors.

\( \star\) Multiply those all prime factors and obtain L.C.M. If there is not any common prime factors then their L.C.M is the product of the given numbers.

Now,let's find the least common multiple ( L.C.M ) of 45 and 120 following those steps :

prime factors of 45 = 3 × 3 × 5

prime factors of 120 = 2 × 2 × 2 × 3 × 5

Common prime factors= 3 and 5

Remaining prime factors = 2 , 2 , 2 and 3

Multiply all the prime factors to obtain L.C.M

\( \dashrightarrow{ \sf{3 \times 5 \times 3 \times 2 \times 2 \times 2}}\)

\( \dashrightarrow{ \boxed{ \sf{360}}}\)

Hope I helped!

Best regards! :D

Answer:

D

Imagine the triangles of the net going up to meet a point above the center of the square. This would lead to a shape with 5 sides, 4 of which are triangles. The only figure that has only triangles and squares making up the sides is figure D

Answer:

about 17.21 feet

Step-by-step explanation:

Set your calculator to degree mode.

The figure is omitted--please sketch it to confirm my answer.

\( \sin(73) = \frac{h}{18} \)

\(h = 18 \sin(73) = 17.21\)

Answer:

x= −3/10

y= 3/7

Step-by-step explanation:

Answer:

20 miles = 32 kilometers

64 kilometers = 40 miles

Step-by-step explanation:

Answer:

1: 6

2: The initial amount of water in the fountain

3: The amout of water in the fountain over an amount of time

4: y= 3/2x+6

Step-by-step explanation:

Answer:

n(a or b) = n(a) + n(b) - n(a and b)

= 44 + 21 - 4 = 61

Answer:

In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]

The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3

Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).

The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.

Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.

The sum area of shaded region​ is \(\frac{1}{3}\).

The formula to find the sum of infinite geometric progression is

\(S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1\)

Given

S = \(\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........\)

Using geometric progression

S = \(\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}]\)

Using summation formula for geometric progression

\(S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1\)

= \(\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }\)

= \(\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }\)

= \(\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )\)

\(\lim_{h\to \infty} \frac{1}{4^{n} }\) = 0

S  = \(\frac{1}{3}(1-0) = \frac{1}{3}\)

The sum area of shaded region​ is \(\frac{1}{3}\).

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Therefore , the solution of the given problem of function comes out to be Nolan dropped the ball from a height of 12 units at the beginning.

The study of mathematics includes numbers, symbols, and their parts, as well as anatomy, building, and both actual and hypothetical geographic locations. The relationships between different components, each of which has a corresponding result, are described by a function. A function is made up of a variable of distinct components that, when put together, produce specific results for each input.

Here,

Assume that h represents the original height at which Nolan threw the ball. The object bounces once and rises to a height of 4, so after the bounce it has a height of h + 4.

=> h = k f(1) (1)

where k is a constant that denotes how much energy the object retains after each bounce.

=> h = k(4) (4)

The knowledge that the ball returns to a height of 4 on the first bounce must be used to determine the value of k:

=> 4 = k f(1) (1)

=> 4 = k (4/3)

=> k = 3

When we put this number of k back into the equation as a replacement for h, we get:

=> h = k(4) = 3(4) = 12

Nolan dropped the ball from a height of 12 units at the beginning.

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Answer:

I can't tell if there is a negative sign there but if there is it's -1, if not 1

Step-by-step explanation:

x=1

1=1

After the shorthand statement x -= 1 is executed, the value of x will be 0. So, the correct option is option A. 0.

The "-=" operator is a shorthand notation for subtracting the right-hand side value (in this case, 1) from the left-hand side variable (x) and then assigning the result back to the left-hand side variable. So "x -= 1" is equivalent to "x = x - 1".

The expression x -= 1 is shorthand for x = x - 1, which subtracts 1 from the value of x and then assigns the result back to x.

In this case, since the initial value of x is 1, subtracting 1 from it gives a result of 0, which is then assigned back to x. So the final value of x is 0.

Therefore, the correct answer is A. 0.

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Answer: 3.13

Step-by-step explanation:

Answer:

I think it is 8

Step-by-step explanation:

Im sorry if it is wrong :(

The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.

To determine the domain and range of the quadratic function based on the given table, let's analyze the values.

Domain represents the set of possible input values (x-values) for the function.

Range represents the set of possible output values (y-values) for the function.

From the given data:

x = -1, 0, 1, 4

y = 5, 3, 3, 5, 35

Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."

Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.

Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.

Therefore, the correct answer is:A. Domain: all real numbers

Range: y ≥ 3

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The probable question may be:

The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.

x= -1,0,1,4

y= 5,3,3,5,35

A. Domain: all real numbers Range: y ≥3

B. Domain: all real numbers

Range: x≥0

c. Domain: all real numbers

Range: y ≥0

D. Domain: all real numbers

Range: y ≤3

Answer:

64 R 0

Step-by-step explanation:

Here is a photo of the answer, it has all the steps!

Answer:

Step-by-step explanation:

Given the exponential growth formula expressed as \(P = Ae^{kt}\) where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

\(P = Ae^{kt}\\147 = Ae^{k(0)}\\147 = Ae^0\\147 = A(1)\\A = 147\)

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

\(P = Ae^{kt}\\153 = 147e^{k(7)}\\153 = 147e^{7k}\\153/147 = e^{7k}\\e^{7k} = 1.041\\Taking \ ln \ of \ both \ sides\\lne^{7k} = ln 1.041\\7k = 0.04018\\k = 0.04018/7\\k = 0.00574\)

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

\(P = Ae^{kt}\\P = 147e^{0.00574*26}\\P = 147e^0.14924\\P = 147*1.16095\\P = 170.659\)

Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.

(a) The integral that will compute the length of the curve representing the bumper is ∫[a, b] √7.76 dx, where [a, b] represents the interval where f(x) > 0.

(b) To evaluate the integral numerically and round to three decimal places, the specific values for a and b need to be provided.

(a) To compute the length of the curve representing the bumper, we can use the arc length formula:

Arc Length = ∫[a, b] √(1 + (f'(x))²) dx

where [a, b] represents the interval where f(x) > 0, and f'(x) is the derivative of f(x) with respect to x.

In this case, f(x) = -2.6x + 4, and to find f'(x), we take the derivative:

f'(x) = -2.6

Since f'(x) is a constant, the expression inside the square root simplifies to:

√(1 + (f'(x))²) = √(1 + (-2.6)²) = √(1 + 6.76) = √7.76

Therefore, the integral to compute the length of the curve representing the bumper is:

Arc Length = ∫[a, b] √7.76 dx

The interval [a, b] needs to be determined based on the given information about f(x) > 0.

(b) To evaluate the integral numerically and round to three decimal places, we need to know the specific values for a and b, which determine the interval where f(x) > 0. Without that information, it is not possible to provide a numerical value for the integral. Please provide the values for a and b, and I can assist you further in evaluating the integral using a computer.

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Answer:

four sides

Step-by-step explanation:

a square should always have four sides no matter what.

Among the given options for input statements involving int variables X and y, the valid option is b) cin >> x >> y.

This statement uses the extraction operator (>>) to read input values and assign them to the variables x and y consecutively. The extraction operator allows for multiple inputs in a single line, separated by spaces or other delimiters.

This statement ensures that two integer values can be entered and stored correctly in the variables x and y. The extraction operator (>>) is commonly used with the cin object in C++ for input operations. It facilitates convenient and efficient input handling for multiple variables in a single statement.

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The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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Answer:

1e+12

Step-by-step explanation:

Use a caculator next time.

The solution to the product of the two figure is 1 trillion

To know how much the product of this figures is

1000000 x 1000000 = 1 trillion

To calculate this, we can multiply 1,000,000 (1 million) by itself:

1,000,000 x 1,000,000 = 1,000,000,000,000

So 1000000 x 1000000 is equal to 1 trillion (1,000,000,000,000).

1 trillion is a very large and significant number that is often used to describe quantities on a global or macroeconomic scale.

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Answer:

380 Stocks per client

Step-by-step explanation:

To solve:

95,000/250 (95,00 shares between 250 of her clients)

= 380 Stocks per client

Hope this helps!

Answer:

B

Step-by-step explanation:

each has a 1/2 of being a even or odd

my second choice would be c but because it doesn't say how many it can be assumed it is being rolled once