Simplify the expression and write your answer as a power

Answer:

1800 seconds.

Step-by-step explanation:

30 × 60 = 1800

Answer:

hang ups the receiver

Step-by-step explanation:

In this case, there is a difficulty for the call center to determine the average time that each caller spends on each type of request, since there is also the possibility that the recipient will not be interested in the call or hang up when receiving such a call. Therefore, in order to calculate this average in a more real way, the company must statistically monitor this data in relation to each hour of work and how many situations occurred in that hour, how many calls received were answered, how many received a busy signal, how many are not answered and how many calls last less than a minute if the recipient is not interested or hangs up.

Through this data, the company is able to monitor the calls and define telephone service strategies that can retain the customer more if the calls in less than a minute exceed conventional calls.

Answer:

480 ft

Step-by-step explanation:

Answer:

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −5, 4i, and −4i

This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So

[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]

[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]

[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]

[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]

Has a value of 40 when x=3

We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So

[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]

[tex]200a = 40[/tex]

[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]

So

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Answer: 3583.37 ≈ 3500

Step-by-step explanation:

Answer:

3/8=9/24

7/6=28/24

Step-by-step explanation:

[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]

[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]

Answer:

It is factorizable

Step-by-step explanation:

4(x² - 3x + 2) is the factoried version :)

Answer:

The Millers paddled 4,666 miles each day.  If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.

Step-by-step explanation:

Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :

14/3 = X

4.666 = X

Thus, the Millers paddled 4,666 miles each day.

In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:

4.666 / 2 x 6 = X

2.333 x 6 = 13.9999

Thus, the distance traveled by the Millers would have been the same.

Given that y₁(x) = x is a solution to the given second-order ODE, assume a second solution of the form

y₂(x) = y₁(x) v(x) = x v(x)

Take the first two derivatives and substitute this solution into the ODE:

y₂ = x v

y₂' = x v' + v

y₂'' = (x v'' + v' ) + v' = x v'' + 2 v'

→   (1 - x ²) y₂'' - 2 x y₂' + 2 y₂ = 0

→   (1 - x ²) (x v'' + 2 v' ) - 2 x (x v' + v) + 2 x v = 0

→   (x - x ³) v'' + (2 - 4 x ²) v' = 0

Next, reduce the order by substituting w(x) = v'(x) and w'(x) = v''(x) :

→   (x - x ³) w' + (2 - 4 x ²) w = 0

and now you have a linear equation in w. Solve for w(x) however you like; I'll just separate variables.

Write w'(x) = dw/dx, then separate variables as

(x - x ³) dw/dx + (2 - 4 x ²) w = 0

(x - x ³) dw/dx = (4x ² - 2) w

dw/w = (4x ² - 2) / (x - x ³) dx

Integrate both sides:

∫ dw/w = (4x ² - 2) / (x - x ³) dx

ln|w| = ∫ (4x ² - 2) / (x - x ³) dx

For the remaining integral, expand the integrand into partial fractions.

x - x ³ = x (1 - x ²) = x (1 - x) (1 + x)

→   (4x ² - 2) / (x - x ³) = a /x + b / (1 - x) + c / (1 + x)

→   4x ² - 2 = a (1 - x ²) + b x (1 + x) + c x (1 - x)

→   4x ² - 2 = (-a + b - c) x ² + (b + c) x + a

→   -a + b - c = 4, b + c = 0, a = -2

→   a = -2, b = 1, c = -1

→   (4x ² - 2) / (x - x ³) = -2/x + 1 / (1 - x) - 1 / (1 + x)

Then

ln|w| = ∫ (-2/x + 1 / (1 - x) - 1 / (1 + x)) dx

ln|w| = -2 ln|x| - ln|1 - x| - ln|1 + x| + C

ln|w| = -ln|x ² (1 - x ²)| + C

exp(ln|w|) = exp(-ln|x ² (1 - x ²)| + C )

w = C / (x ² (1 - x ²))

v' = C / (x ² (1 - x ²))

Solve for v(x) by integrating both sides, expanding the right side into partial fractions again:

x ² (1 - x ²) = x ² (1 - x) (1 + x)

→   1 / (x ² (1 - x ²)) = a / x + b / x ² + c / (1 - x) + d / (1 + x)

→   1 = a x (1 - x ²) + b (1 - x ²) + c x ² (1 + x) + d x ² (1 - x)

→   1 = (-a + c - d) x ³ + (-b + c + d) x ² + a x + b

→   -a + c - d = 0, -b + c + d = 0, a = 0, b = 1

→   a = 0, b = 1, c = 1/2, d = 1/2

→   1 / (x ² (1 - x ²)) = 1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))

dv/dx = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x)))

dv = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx

Integrate both sides:

∫ dv = ∫ C (1 / x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx

v = C₁ (-1/x - 1/2 ln|1 - x| + 1/2 ln|1 + x|) + C₂

v = C₁ (1/2 ln|(1 + x) / (1 - x)| - 1/x) + C₂

Solve for y₂(x) by multiplying both sides by x :

y₂ = C₁ (1/2 x ln|(1 + x) / (1 - x)| - 1) + C₂ x

Now, y₁(x) = x, so we can omit the last term from the second solution, giving us

y₂(x) = C (1/2 x ln|(1 + x) / (1 - x)| - 1)

Answer:

-3/10, -25/100, -3/8

Answer:

An octagonal prism has 10 faces.

Step-by-step explanation:

Please mark as brainliest!

Answer:

Step-by-step explanation:

Difference of a number and 7 = c - 7

Twice the difference = 2*(c - 7) = 2*c - 7*2 = 2c - 14

2c - 14 ≥ -21

Answer: 9/6 and 6/4 are equivalent

Step-by-step explanation:

If you simply 9/6, you get 1 3/6

Simplify 6/4, you get 1 2/4

3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.

Hope this helped ;D

Answer:

5000000:3

Step-by-step explanation:

https://auro.alone.gg/bYWtZVOw_

Answer:

Step-by-step explanation:

Ratio means division, simply we divide, and we get 3:5000000

This is the ratio of human to ants

Answer:

x=7,−7

Step-by-step explanation:

In order to find the value of x in this quadratic equation we first need to make the equation equal 0 by getting rid of the 140. We do this by subtracting 140 on each side.

3x² - 7 = 140

3x² - 147 = 0

Now we solve as a regular quadratic formula

x= [tex]x = \frac{-(0) +- \sqrt{0^{2} - 4(3)(-147) } }{2(3)}[/tex]

[tex]x = \frac{0 +- \sqrt{1764} }{6}[/tex]

x=7,−7

Answer:

Sum

Step-by-step explanation:

Remember that the plus sign (+) always means to add.

Answer:

It would be the sum of a number and eight.

Answer:

x = 2.93

Step-by-step explanation:

The sum of angles of the triangle is 180degrees, hence;

9x - 72 + 73x + 11 = 180

82x - 61 = 180

82x = 180 + 61

82x  = 241

Divide both sides by 82

82x/82 = 241/82

x = 2.93

Note that the functions might not be accurate but the same methos should be employed for any function given

Answer:

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Did not receive an above average grade.

Event B: Did not attend class regularly.

Probability of an student not receiving an above average grade:

100 - 40 = 60% of 70%(attend class regularly).

100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).

So

[tex]P(A) = 0.6*0.7 + 0.9*0.3 = 0.69[/tex]

Did not receive an above average grade and did not attend class regularly:

90% of 30%. So

[tex]P(A \cap B) = 0.9*0.3 = 0.27[/tex]

Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913[/tex]

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Answer:

When (3b³)² is simplified, it equals 3b⁶

Step-by-step explanation:

3 × 2 = 6

The exponent is 6

Step-by-step explanation:

Area of rectangle is Length × Breadth

We need to multiply these 3 terms.

[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]

Use distributive property

= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²

Hope it helps :)

Answer:

Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.

Answer:

1. the growth of a plant given by the amount of food

Step-by-step explanation:

Answer:

654 ft

Step-by-step explanation:

in this case you have a SOH-CAH-TOA problem.

we need Adjacent and opposite so we use tan

tan (17) = O/A

tan (17) = 200ft / x

x = 654.17 ft

to the nearest foot = 654 ft

Leave a like and mark brainliest if this helped

Leave a like and mark brainliest if this helped

The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

Since

A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation.

So the following formula should be applied

[tex]tan (17) = O/A\\\\tan (17) = 200ft / x[/tex]

x = 654.17 ft

= 654 ft

hence, The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

Learn more about distance here: https://brainly.com/question/24705024

Answer:

112 teaspoons just multiply 56 by 2 with a calculator

Step-by-step explanation:

Answer:

11 teaspoons

Step-by-step explanation:

I hope this helps :)