The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part.

Answer:

-125

Step-by-step explanation:

it was correct on 2021 edge

The value of the given exponent expression (-5)⁻³ is -0.008.

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent is given as:

(-5)⁻³

To find the value of (-5)⁻³, we need to raise -5 to the power of -3, which is equivalent to finding the reciprocal of (-5)⁻³.

(-5)⁻³ = (-5) × (-5) × (-5) = -125

The reciprocal of -125 is -1/125, so the value of (-5)⁻³ is -1/125 = -0.008.

Since -5 is negative, the value of (-5)⁻³ will also be negative, so the answer is -0.008.

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Answer:

$7

Step-by-step explanation:

100-16=84

84/12=7

Hope this helped

Step-by-step explanation:

Hello can you please give the amount of kids first?

Answer:

Step-by-step explanation:

When m+3=-5, collection of like terms says; -5-3

Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

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Answer:

Reflected over x axis

compressed by 2

right 3

up 3

Step-by-step explanation:

I graphed both and looked at the differences

Answer:

-4190

Step-by-step explanation:

910-5100

Hey! The measure of the angle is 127

The angle is a total of 180 degrees.

We have to find the total of what's in between the two blue lines.

To make it easier, we can take the total of what's not in the blue lines, 53, and subtract it from 180. This gives us 127. So in between both the blue lines, measures 127. Or, you can just count up from  53 to 180 individually.

Answer:

19

Step-by-step explanation:

5*7 - 4*4

PEMDAS says multiply and divide first

35 - 16

Then add and subtract

19

Answer:

19 hope this helps ☜(⌒▽⌒)☞☜(ﾟヮﾟ☜)

Step-by-step explanation:

The function’s equation written in factored form and in vertex form are respectively;

f(x) = 2x(x - 4)

f(x) = 2(x - 2)² - 8

The factored form of a quadratic function is;

f(x) = a(x - p)(x - q)

where:

p and q are the x-intercepts

a is a constant

Now, we are given x-intercepts as; (0, 0) and (4, 0)

Thus;

f(x) = a(x - 0)(x - 4)

f(x) = ax(x - 4)

To find a, substitute the given vertex (2, -8) into the equation and solve for a:

2a(2 - 4) = -8

-4a = -8

a = 2

Thus;

f(x) = 2x(x - 4)

The vertex form of a quadratic equation is;

f(x) = a(x - h)² + k

where:

(h, k) is the vertex

a is constant

Since vertex is (2, -8), then we have;

f(x) = a(x - 2)² - 8

Put the coordinate (0, 0) to find a;

0 = a(0 - 2)² - 8

4a = 8

a = 2

Thus;

f(x) = 2(x - 2)² - 8

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Answer:

Step-by-step explanation: you can rewrite 2/3 plus 1/6 as: 2 3 + 1 6 To add fractions you need to have a common denominator (the bottom half of the fraction). In this case 6 is a common denominator.

According to law of sine, the part of the equation is sin110/4.6 = sinC/3.2.

According to the law of sines, a/sinA = b/sinB. In this case, it's appropriate to use it for the triangle.

The assigned name is given for each side and angles. Therefore, the part of the equation that the rule is appropriate is sin110/4.6 = sinC/3.2.

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Answer: A

Step-by-step explanation:

Got it right on Edge 2022

The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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Answer:

it should be 90 I could be wrong

SOLUTION

The polynomials expression given are

Expand the expression by distributing the parentheses

Simplify

Hence, the answer is

The approximate side length of the square game board is 13 inches.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side².

We have,

Area of a square game board = Side².

Area of the square = 162 inches²

Now,

Side² = 162 inches²

Side = √162 inches

Side = 12.73 inches

Side = 13 inches

Thus,

The side length of the square game board is 13 inches.

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Answer:

\(3x-7y\)

Step-by-step explanation:

\(9x-7y-6x\)

\(9x+-7y+-6x\)

\(9x+-6x+-7y\)

\(3x+-7y\)

Answer:

3x-7y

Step-by-step explanation:

9x and 6x are like terms

We subtract 6x from 9x because it is a negative

9x-6x= 3x

7y is also negative that's why the answer is 9x-7y

But you can also do -7y + 3x

It doesn't matter it's still the same

Hope this helps!

Answer:

12.955

Step-by-step explanation:

you know they made errors because between all the numbers, the whole number is 12 and the rest are 0, which means that the whole number part cannot be less than 12. While for the decimal part the largest number of decimal places is 3, and that what your final answer has to have. I hope this helped :)

Answer:

c?

Step-by-step explanation:

I think it c because y=3x-24

Answer:

The answer is D. (x - 3) (x + 2)

To compute a basis of the eigen space corresponding to eigen value -2, we need to find the null space of the matrix A + 2I, where A is the 3x3 matrix and I is the identity matrix.

The null space will give us the basis vectors of the eigen space

To find the eigen space corresponding to the eigen value -2, we start by constructing the matrix A + 2I, where A is the given 3x3 matrix and I is the 3x3 identity matrix. Next, we solve the homogeneous system of linear equations (A + 2I)x = 0, where x is a vector. The solutions to this system form the null space of the matrix A + 2I.

By finding a basis for this null space, we can obtain the basis vectors of the eigen space corresponding to the eigen value -2.

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The slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

The slope intercept form is simply writing an equation of a line so that the slope or steepness and y-intercept i.e. where the line crosses the vertical y-axis are immediately apparent.

The slope-intercept equation is y = mx + c, where x and y are two variables, and m is slope.

Slope m = \(\frac{y2-y1}{x2-x1}\)

Let,

(x1, y1) = (5, -3)

(x2, y2) = (4, 0)

Slope (m) = \(\frac{0 - (-3) }{4 - 5}\)

                = \(\frac{3}{-1}\)

                = -3

By substituting x, y, and m values in the equation we can get the value of c.

Consider x = 4 , y = 0, m = -3

y = mx + c => 0 = (-3)4 + c

                      c = 12

Therefore, the slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

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Answer: I = $ 19.53

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 25%/100 = 0.25 per year,

then, solving our equation

I = 312.5 × 0.25 × 0.25 = 19.53125

I = $ 19.53

The simple interest accumulated

on a principal of $ 312.50

at a rate of 25% per year

for 0.25 years is $ 19.53.

Answer:

P = 5000

You need to multiply r and T together, then divide 312.50 by that.

The molecule that has a tetrahedral shape is XeF4.

A tetrahedral shape in molecules is characterized by a central atom surrounded by four bonded atoms, arranged in a three-dimensional shape resembling a tetrahedron.

In the given choices, XeF4 is the only molecule that fits this description. XeF4 consists of a central xenon (Xe) atom bonded to four fluorine (F) atoms. The arrangement of these atoms forms a tetrahedral shape around the xenon atom. Each fluorine atom is located at the corner of the tetrahedron, while the xenon atom is at the center.

On the other hand, the other molecules mentioned in the choices do not have a tetrahedral shape. Therefore, the correct answer is "XeF4."

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Ans>18000

Step-by-step explanation:

Answer:

y - 6 = -1 (x+5)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula \(m = \frac{y_2-y_1}{x_2-x_1} \\\). Substitute the x and y values of (-5,6) and (0,1) into the formula and simplify like so:

\(m = \frac{(1)-(6)}{(0)-(-5)} \\m = \frac{1-6}{0+5} \\m = \frac{-5}{5} \\m = -1\)  

So, the slope of the line is -1.

2) Now we have enough information to write the equation of the line in point-slope form. Use the point-slope formula \(y-y_1 = m (x-x_1)\) and substitute real values for the \(m\), \(x_1\), and \(y_1\).

Since \(m\) represents the slope of the line, substitute -1 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of a point the line intersects, substitute the x and y values of (-5, 6) in those places as well. This gives the following equation and answer:

\(y-6 = -1(x+5)\)

\(T\) is the set

\(T = \left\{(x,y,z) \mid 0 \le x \le 1 \text{ and } 0 \le y \le 1 - x \text{ and } 0 \le z \le 1 - x - y\right\}\)

since the plane \(x+y+z=1\) passes through the three, non-origin vertices.

Then the integral of \(6x^2\) over \(T\) is

\(\displaystyle \iiint_T 6x^2 \, dV = \int_0^1 \int_0^{1-x} \int_0^{1-x-y} 6x^2 \, dz \, dy \, dx \\\\ ~~~~~~~~ = 6 \int_0^1 \int_0^{1-x} x^2 (1-x-y) \, dy \, dx \\\\ ~~~~~~~~ = 6 \int_0^1 \int_0^{1-x} (x^2 - x^3 - x^2y) \, dy \, dx \\\\ ~~~~~~~~ = 6 \int_0^1 \left((x^2 - x^3) (1-x) - \frac{x^2}2 (1-x)^2\right) \, dx \\\\ ~~~~~~~~ = 6 \int_0^1 \left(\frac{x^4}2 - x^3 + \frac{x^2}2\right) \, dx \\\\ ~~~~~~~~ = 6 \left(\frac1{10} - \frac14 + \frac16\right) = \boxed{\frac1{10}}\)

Answer:

6/7

Step-by-step explanation:

First, cancel out 16 and 56 by a common factor of 8. The resulting expression is -2/5*-15/7. Then, simply 5 and 15 by a common factor of 5. Then, you will get: -2*(-3/7). The negatives cancel out, so the answer is 6/7.