What are three benefits often gained from holding a full-time job?

Answer:

Quotient does not need to be divided because quotient itsenf means answer.

Quotient means answer when we divide the dividend by the divisor.

Answer:

B. 9

Step-by-step explanation:

the area = π × 3² = 9π ft²

Area of a circle = pi x R^2

R is the radius which is 1/2 the diameter.

R = 6/2 = 3 feet

Area = pi x3^2

Area = 9pi

The answer is B

Answer:

3 of them. Hope this helps!

Step-by-step explanation:

x= 93, y= 31, z= 56. Let's call the size of the smallest angle y. We know that the largest angle x is 3 times the size of y, so x = 3y. We also know that the third angle z is 37° less than x, so z = x - 37.

The sum of the angles in a triangle is always 180°, so we can write an equation:

x + y + z = 180

Substituting our expressions for x and z:

(3y) + y + (3y - 37) = 180

Simplifying:

7y - 37 = 180

7y = 217

y = 31

So the smallest angle y is 31°.

Using x = 3y, we can find the largest angle:

x = 3(31) = 93°

Using z = x - 37, we can find the third angle:

z = 93 - 37 = 56°

Therefore, x = 93°, y = 31°, and z = 56°.

Final answer: x= 93, y= 31, z= 56.

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Answer:

1/2

Step-by-step explanation:

Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

There were 18 good eggs out of the 30 eggs collected by Hanna. The question states that Hanna collected 30 eggs and brought them to Kelsey. Kelsey inspected the eggs and found that 40% of them were broken.

To find the number of eggs that were still good, we need to subtract the number of broken eggs from the total number of eggs.

First, let's find the number of broken eggs. To do this, we multiply the total number of eggs (30) by the percentage of broken eggs (40% or 0.40).

30 eggs * 0.40 = 12 broken eggs

So, out of the 30 eggs collected by Hanna, 12 of them were broken.

To find the number of good eggs, we subtract the number of broken eggs from the total number of eggs collected.

30 eggs - 12 broken eggs = 18 good eggs

Therefore, there were 18 good eggs out of the 30 eggs collected by Hanna.

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The first term, a1, in the geometric series is -3.

What is Geometric Series?

A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form

To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:

Sn = a1 * (1 - r^n) / (1 - r)

Plugging in the given values, we have:

93 = a1 * (1 - 2^5) / (1 - 2)

Simplifying the expression:

93 = a1 * (1 - 32) / (-1)

93 = a1 * (-31)

Now we can solve for a1 by dividing both sides of the equation by -31:

a1 = 93 / -31

a1 = -3

Therefore, the first term, a1, in the geometric series is -3.

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All options are true except option iii)

Given function is f(x) which is defined for all real numbers.

What is a critical point? A critical point of a function is a point where the derivative of the function equals zero or fails to exist. For a given function f(x), select the true statements:

i) If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers c and d in (a,b).

ii) If f(x) has a critical point at x=c, then f'(c)=0.

iii) If f(x) has a local minimum value at x=c, then f'(c)=0.

iv) If f'(c)=0, then f(x) has a local maximum or minimum at x=c.

v) If f'(c) is undefined, then x=c is a critical point of f(x). From the above all options, all options are true except option iii). Option iii is incorrect because if f(x) has a local minimum or maximum value, then f'(c)=0 is not necessary. The necessary condition is f'(c)=0 but the converse is not true.

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Answer:

\(1+\sqrt{2}\\\), \(1.5-\sqrt{2}\), \(\sqrt{2} -1\), \(\sqrt{2}-1 , 0.15+\pi /1000 , \sqrt{2} +0.001\)\(2.357+\pi /1000000\)\(0.0001+\pi /10000000\) and I think you got it, just add to the smaller one \(\pi /10000000000000\\\)

Step-by-step explanation:

not much to explain, it ןs irrational because \(\sqrt{2} and \pi\) arent rattional.

The average number of calls per day is approximately 5.298 calls.

To solve this problem, we'll first use the information given about the probability of receiving no calls (0.5%) and the Poisson distribution formula to find the average number of calls per day (λ).

Step 1: Convert the percentage of no calls into a decimal.
0.5% = 0.005

Step 2: Use the Poisson distribution formula for the probability of receiving no calls (k = 0).
P(X = 0) = (e^(-λ) * λ^0) / 0! = 0.005

Step 3: Simplify the equation.
(e^(-λ) * 1) / 1 = 0.005

Step 4: Solve for λ.
e^(-λ) = 0.005
-λ = ln(0.005)
λ = -ln(0.005)

Step 5: Calculate the average number of calls per day.
λ ≈ 5.298

So, the average number of calls per day is approximately 5.298 calls.

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Answer:

4x67€hus de tus nos cos

Answer:

6y−20

Step-by-step explanation:

Answer: 30 feet

Step-by-step explanation:

\(A=\frac{1}{2}bh\\ \\ 150=\frac{1}{2}(10)(h) \\ \\ 150=5h \\ \\ h=30\)

Reported to the proper number of significant figures, is 551.56 which has five significant figures.

The given expression is:(2115 - 2101) × (5.11 × 7.72)

Now let's evaluate the given expression to solve for the unknown. For that, we have to perform the mathematical operations in the following order according to the proper order of operations or the PEMDAS rule:

Parentheses or Brackets Exponents or Powers Multiplication or Division (from left to right) Addition or Subtraction (from left to right). So, let's solve the given expression by using the above rule.

(2115 - 2101) × (5.11 × 7.72)= 14 × (5.11 × 7.72)= 14 × 39.3972= 551.5608 ≈ 551.56

The answer, reported to the proper number of significant figures, is 551.56 which has five significant figures.

The first significant figure is 5 (it comes before decimal point), and the next four significant figures are 5, 1, 5, and 6 (they come after decimal point). The final answer should have no more than five significant figures because the least precise number given in the expression (2101) has four significant figures.

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To find the length of the curve given by r(t) = cos(7t) i + sin(7t) j + 7 ln(cos(t)) k, 0 ≤ t ≤ π/4, we need to use the formula for arc length:

L = ∫[a,b] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt

In this case, we have:

dx/dt = -7 sin(7t)
dy/dt = 7 cos(7t)
dz/dt = -7 sin(t) / cos(t)

So,

[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 sin^2(7t) + 49 cos^2(7t) + 49 sin^2(t) / cos^2(t)
= 49 [sin^2(7t) + cos^2(7t) + sin^2(t) / cos^2(t)]
= 49 [1 + sin^2(t) / cos^2(t)]

Now, using the identity sin^2(t) + cos^2(t) = 1, we can rewrite this as:

[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 cos^2(t)

Therefore, the length of the curve is:

L = ∫[0,π/4] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt
= ∫[0,π/4] 7 cos(t) dt
= 7 [sin(t)]|[0,π/4]
= 7 sin(π/4) - 7 sin(0)
= 7 (√2/2)
= 7√2/2

So the length of the curve is 7√2/2.

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Answer:

26

Step-by-step explanation:

These problems always really confuse me but I took a quiz with this question and this is my answer 26

Answer:26

Step-by-step explanation:

i just took the test

The following functions are analytic:

1. f(z) = iz

2. f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y^)\)

4. f(z) = \(e^x(cosy - isiny)\)

5. f(z) = \(Re(z^2) - iIm(z^2)\)

8. f(z) = \(i/z^8\)

11. f(z) = cos(x)cos(hy) - isin(x)sin(hy)

Analytic functions are those that can be expressed as power series expansions, meaning they have derivatives of all orders in their domain. In the given list of functions, we need to determine if each function satisfies this criterion.

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Answer:

(-8.5, 7).

Step-by-step explanation:

the two points are (-10, 3) and (-7, 11). Let's plug in the values into the midpoint formula:

M = ((-10 + -7) / 2, (3 + 11) / 2)

Simplifying the calculations:

M = (-17 / 2, 14 / 2)

M = (-8.5, 7)

i hope i helped you!

A real-world example of how piecewise functions can be used is in:

Modeling electricity pricing, where different rates are said to be used for different usage tiers.

Calculating income tax based on different types of income brackets.

Here, we have,

Piecewise functions are tools that are often used for representing ways where the connection between variables alters under varying intervals or conditions.

To demonstrate the application of piecewise functions, consider the following example such as  calculating taxes on income. where a different nations implement an income tax system that make use of a segmented function to determine tax rates based on various income brackets.

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complete question;

What’s a real world example of how piece wise functions can be used?

Answer: $2.10

Step-by-step explanation:

21(.10)=2.1

Answer:

V = 120 cm³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

to find h (ON)

use Pythagoras' identity in right triangle MNO

ON² + MN² = MO²

ON² + 7.5² = 8.5²

ON² + 56.25 = 72.25 ( subtract 56.25 from both sides )

ON² = 16 ( take square root of both sides )

ON = \(\sqrt{16}\) = 4

Then

V = (4.5 × 4) × 4 = 30 × 4 = 120 cm³

Answer: 64/35

Step-by-step explanation:

8/7 and then divide by 5/8 and you get 1 29/35. 35x1= 35 then add the numerator, 29 and you get 64. so the answer would be 64/35

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

36.17

Step-by-step explanation:

Add all and divide by 9

The height of the cliff is 0.3m

The formula for calculating velocity is expressed as;

v² = 2gh

Such that the parameters are;

Now, from the information given, substitute the values into the formula, we get;

(8.10)²= 2 ×10 × h

Multiply the values, we have;

65.61 = 20h

Divide both sides by the coefficient of the variable h, we get;

h = 20/65.61

Divide the values, we have;

h = 0.30m

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