Find the volume of a box with a length of 5 cm, a width
of 5 cm, and a height of 10 cm.

Answer:

13.015625

Step-by-step explanation:

Answer:

13 remainder 1.

I have attached the work to your question.

Please see the attachment below.

I hope this helps!

Answer:

x = 155°

Step-by-step explanation:

following the properties of triangles and flat angle.

Hope this helps

The height of the flag can be determined using trigonometry.

We have a right triangle formed by the person's line of sight, the horizontal line, and the line connecting the person's eyes to the ground. The angle of elevation from the person's point of view is 32°, and the vertical distance from the person's eyes to the ground is 6 feet.

Let's consider the height of the flag as 'h'. The distance from the person to the flag's stick is 150 feet.

Using the tangent function, we can set up the following equation:

tan(32°) = (h + 6) / 150

Rearranging the equation to solve for 'h', we have:

h + 6 = 150 * tan(32°)

h = (150 * tan(32°)) - 6

Evaluating the expression, we find that the height of the flag is approximately 87.35 feet.

Therefore, the height of the flag is approximately 87.35 feet.

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Answer:

15

Step-by-step explanation:

PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.

The formula is (O + 4M + P) ÷ 6

Where P is the most pessimistic = 29

M is the most likely = 12

O is the most optimistic = 10

Hence we have (10 + [4*12]+ 29) ÷ 6

= (10 + 48 + 29) ÷ 6

= 87÷6 = 14.5 ≈ 15

Rounded figure is equal to 15.

Hence the final answer to the question is 15

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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The force on each end of the trough is the weight-density of water (62.4 lbft3) multiplied by the area (42 square feet), resulting in a force of 2619.2 lbs, rounded to the nearest integer is 2619 lbs.

The force on each end of the trough can be calculated using the formula for pressure: Pressure = Force/Area. The area of each end of the trough is the base multiplied by the height, which in this case is 7 feet x 6 feet = 42 square feet. Therefore, the force on each end of the trough is the weight-density of water (62.4 lbft3) multiplied by the area (42 square feet), resulting in a force of 2619.2 lbs, rounded to the nearest integer is 2619 lbs.

In more detail, the pressure created by a given amount of weight-density of water is determined by the area it is spread over. The area of each end of the trough is the base multiplied by the height, which in this case is 7 feet x 6 feet = 42 square feet. To find the force, the weight-density of water (62.4 lbft3) is then multiplied by the area (42 square feet). This results in a force of 2619.2 lbs, which is rounded to the nearest integer is 2619 lbs.

The pressure of a liquid is an important concept in many engineering and scientific applications, including design of dams and bridges, fluid mechanics, and material sciences. Understanding pressure is critical to designing any structure that involves water, from small troughs to dams and canals. This particular example demonstrates the basic equation used to calculate pressure and its associated force, but more complicated applications may require knowledge of other equations and variables, such as temperature and acceleration due to gravity.

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Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

Answer: 10000

A.) 4170m above sea level ;3330m below sea level

B) 1670 m from the base.

Step-by-step explanation:.

Given that:

Mauna Loa :

4,170 meters (from sea level to summit)

-5000 meters (base of mountain to sea level)

Depth of probe dropped from summit of Mauna Loa = 7500 m

Height of probe relative to sea level :

Depth of probe - height of Mauna Loa(from sea level to summit)

7500 m - 4170 m = 3330 m

Hence, height of probe relative to sea level :

4170m above sea level

3330m below sea level

Distance of probe from base of volcano:

Total depth of Mauna Loa = (4170 + 5000) = 9170m

Total depth of probe = 7500 m

Distance of probe from base :

9170 - 7500 = 1670 m

The probe is 1670 m from the base of the volcano.

Answer: yes its just set up diffrently

Step-by-step explanation:

Answer:

ans: yes it is because it matches the same number

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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Answer:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.

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As per the fundamental counting principle, the total number of possible outcomes is 24.

To use the fundamental counting principle, we need to first identify the number of choices available for each option. In this case, we have 3 types of shoes, 4 colors, and 2 width options. So, the number of choices for each option is:

3 types of shoes

4 colors

2 width options

To determine the total number of possible outcomes, we multiply the number of choices for each option. This gives us:

Total number of possible outcomes = number of choices for type of shoe x number of choices for color x number of choices for width

= 3 x 4 x 2

= 24

Therefore, there are 24 possible shoe combinations that can be created from the given options.

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Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-4; 3)

B = (3; 2)

(segment BLUE)

After reflection on F(X) we will get the segment GREEN

note that the length M = M and N = N

Answer:

191,250

Step-by-step explanation:

Y=750(255)

Answer:

Step-by-step explanation:

(CAB) = (ZXY)

(ABC) = (ZYX)

=>  ∆ABC ~ ∆XYZ

The solution to the initial value problem is y(x) = -1/(2x + x^2/2 - 1), and the minimum value of y(x) is attained at x = -1/2. The minimum value is an exact number, but it is difficult to express it as a fraction or decimal.

The initial value problem y' = 2y^2 + xy^2, y(0) = 1 is a first-order nonlinear ordinary differential equation. The goal is to find a function y(x) that satisfies the differential equation and the initial condition.

To solve this equation, we first note that it is separable. We can rewrite the equation as:

y'/(y^2) = 2 + x

Integrating both sides with respect to x, we get:

-1/y = 2x + x^2/2 + C

where C is a constant of integration. Multiplying both sides by -y, we get:

y(x) = -1/(2x + x^2/2 + C)

To determine the value of C, we use the initial condition y(0) = 1. Substituting x = 0 and y = 1 into the equation, we get:

1 = -1/C

so C = -1. Thus, the solution to the initial value problem is:

y(x) = -1/(2x + x^2/2 - 1)

To find the minimum value of y(x), we note that y(x) is undefined for x = -2, and is negative for x < -2. Thus, we restrict our attention to x ≥ -2.

We take the derivative of y(x) and set it equal to zero to find the critical points:

y'(x) = 2(2x + 1)/(2x + x^2 - 2)^2 = 0

Solving for x, we get x = -1/2. To determine whether this is a minimum or maximum, we compute the second derivative of y(x):

y''(x) = 8(x^2 + 2x + 3)/(2x + x^2 - 2)^3

Since y''(-1/2) > 0, we conclude that x = -1/2 is a local minimum. Since there are no other critical points, we conclude that the solution attains its minimum value at x = -1/2.

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Answer:

c i got it right on test

Step-by-step explanation:

Answer:

First answer:

-16y=-19x+12

16y=19x-12

y=19/16x-3/4

Second answer:

8y=-15x-9

y=-15/8x-9/8

The x intercept of the function the quantity of 5 x squared minus 25 x, all over x is 5

we have given a function the quantity  f(x) = (x² - 25x)/x

Firstly, we will take the common factor out from numerator and denominator  which is x and it  will get cancel from the fraction  we will get

5x - 25

Now we will take again the common factor out which is 5 we will get

5(x - 5)

Here, we will equate the expression to zero we will have

5(x - 5) = 0

x - 5 = 0

x = 5

We will get value of x

x=5

Therefore, the x intercept of the function the quantity of 5 x squared minus 25 x, all over x is 5

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Answer:

(D).

Step-by-step explanation:

3( x - 5) < 5x + 7

3x - 15 < 5x + 7

- 15 - 7 < 5x - 3x

- 22 < 2x

- 11 < x or x > - 11 ⇒ x ∈ ( - 11 , ∞ )

Graph D shows the solution of given inequality.

Answer:

correct.

Step-by-step explanation:

Answer: 50 to 140

Step-by-step explanation:

Answer:

range = 90

Step-by-step explanation:

the range is the difference between the maximum and minimum values of the data set.

the maximum value = 140 and minimum value = 50 , then

range = 140 - 50 = 90

Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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The general solution to the differential equation `dy/dx = cos(8x)cos(4y)` is given below:Main Answer:Separating the variables in the given differential equation, we have `dy/cos(4y) = cos(8x) dx`Integrating both sides, we get:`1/4 sin(4y) = 1/8 sin(8x) + C`where C is the constant of integration.

Now, solving for y, we get:`y = 1/4 sin^{-1}(2sin(8x) + C)`where `sin^{-1}` denotes the inverse of sine function. So, this is the general solution to the given differential equation.Explanation:Given differential equation:`dy/dx = cos(8x)cos(4y)`Separating the variables:`dy/cos(4y) = cos(8x) dx`Integrating both sides:`∫ dy/cos(4y) = ∫ cos(8x) dx``1/4 ∫ sec^2(4y) dy = 1/8 sin(8x) + C``1/4 tan(4y) = 1/8 sin(8x) + C`

Now, solving for y:`tan(4y) = 1/2 sin(8x) + C`Dividing both sides by 4, we get:`y = 1/4 tan^{-1}(1/2 sin(8x) + C)`However, the inverse of the tangent function is a bit messy, so we use the identity:`tan^{-1}(x) = 1/2 i ln((i+x)/(i-x))`where `i` is the imaginary unit. Plugging in, we get:`y = 1/4 i ln((i+1/2 sin(8x) + C)/(i-1/2 sin(8x) - C))`This is the general solution to the given differential equation.

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