what is the total capacity in gallows of a rectangular tank 5 meters in height knowing that it will hold 200 liters per foot?

For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

If the slope of the triangles is equal then triangle A is similar to triangle B.

In the statement  when we simplify

(5/3)=(15/9),

(5/3)=(5/3),

Then the reason for this statement is "If the slope of triangles are equal"

And the definition of slope in general is m = y/x.

Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

To know more about slope follow

https://brainly.com/question/3493733

#SPJ1

Answer:

Asset

Step-by-step explanation:

Because your selling your money to in something to make it have value.

The heaviest 10% of fruits weigh more than 814.79 grams.

The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.

Define X = Random Variable of the fruit's weight

\(X \sim N(mean = 760, standard deviation = 39)\)

We want to find the specific gram value for which 8% of the fruits are heavier

The 92nd percentile of X's normal distribution

\(Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92\)

Standardizing we obtain

\(Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,\)

where Z is a standard normal random variable

\(Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )\)

==> Set this equal to .92:

\(Standard \ Normal \ CDF( [x - 760]/39 ) = .92\)

Then, from the standard normal table:

\([x - 760]/39 = Inverse Standard Normal\)

\(CDF( .92 ) = 1.405\)

Use algebra to solve for x:

\(x = 39 * 1.405 + 760 = 814.795\)

Therefore the heaviest 10% of fruits weigh more than 814.79 grams.

To learn more about the weights normally distributed visit:

https://brainly.com/question/17091450

#SPJ1

Answer:

C. In general, the number of hours of reading does not affect the number of hours used for chores.

Step-by-step explanation:

I just did this (edge) and got it right.   hope this helps:)

Answer:

C. In general, the number of hours of reading does not affect the number of hours used for chores.

Step-by-step explanation:

sorry if im wrong

The equations of each line are:

a. y = -3x + 3

b. y = -2/3x - 3

In slope-intercept form, the equation of a line is written as, y = mx + b, given that:

Note: the slope values of parallel lines are the same.

a. The slope of y = -3x - 1 is, -3. The line that is parallel to it will have the same slope (m) of -3.

Substitute m = -3 and (x, y) = (2, -3) into y = mx + b to find b:

-3 = -3(2) + b

-3 = -6 + b

-3 + 6 = b

3 = b

b = 3

Substitute b = 3 and m = -3 into y = mx + b

y = -3x + 3

b. Rewrite 2x + 3y = 6 in the slope-intercept form

3y = -2x + 6

y = -2/3y + 2

The slope of y = -2/3y + 2 is, -2/3. The line that is parallel to it will have the same slope (m) of -2/3.

Substitute m = -2/3 and (x, y) = (0, 5) into y = mx + b to find b:

5 = -2/3(0) + b

-3 = 0 + b

-3 = b

b = -3

Substitute b = -3 and m = -2/3 into y = mx + b

y = -2/3x - 3

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

For more such questions on expense, click on:

https://brainly.com/question/2292799

#SPJ8

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

x + 7

Step-by-step explanation:

ajiahaqjjaqjajajanqjq

Answer:

96

Step-by-step explanation:

Cows : Horses

12:3

x:24

(24/3) x 12

A) To find the annual rate of change, we can use the formula:

r = (V2/V1)^(1/n) - 1

where:

V1 = initial value ($42,000)

V2 = final value ($11,000)

n = number of years (2006 - 1994 = 12)

Plugging in the values, we get:

r = (11000/42000)^(1/12) - 1 ≈ -0.1135

Therefore, the annual rate of change between 1994 and 2006 is approximately -0.1135.

B) To convert the rate of change to a percentage, we can multiply by 100 and add a percent sign:

r = -0.1135 × 100% ≈ -11.35%

Therefore, the correct answer to part A written in percentage form is approximately -11.35%.

C) Assuming the car value continues to drop by the same percentage, we can use the formula for exponential decay:

V = V0 * (1 - r)^t

where:

V0 = initial value ($11,000 in 2006)

r = annual rate of change (-0.1135)

t = number of years (2010 - 2006 = 4)

Plugging in the values, we get:

V = 11000 * (1 - (-0.1135))^4 ≈ $6,250

Therefore, the value of the car in the year 2010 would be approximately $6,250, rounded to the nearest 50 dollars.

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

Length = 8 ft.

Step-by-step explanation:

The perimeter of a rectangle can be represented by the formula P = 2w + 2l, where w is the width and l is the length.

Given what we're told, we can represent the length for this problem using the equation l = w + 3

Thus, to find the length, we plug in everything we know:

26 = 2(w +3) + 2w

26 = 2w + 6 + 2w

26 = 4w + 6

20 = 4w

5 = w

l = 5 + 3 = 8

Answer: 405 dollars

Step-by-step explanation:

200 * x = 270

x = 270 * 300/200. x =405 dollars

The average value of a continuous function f(x) over an interval [a, b] is

\(\displaystyle f_{\mathrm{ave}[a,b]} = \frac1{b-a}\int_a^b f(x)\,dx\)

We're given that

\(\displaystyle f_{\rm ave[-1,2]} = \frac13 \int_{-1}^2 f(x) \, dx = -4\)

\(\displaystyle f_{\rm ave[2,7]} = \frac15 \int_2^7 f(x) \, dx = 8\)

and we want to determine

\(\displaystyle f_{\rm ave[-1,7]} = \frac18 \int_{-1}^7 f(x) \, dx\)

By the additive property of definite integration, we have

\(\displaystyle \int_{-1}^7 f(x) \, dx = \int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\)

so it follows that

\(\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(\int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\right)\)

\(\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(3\times(-4) + 5\times8\right)\)

\(\displaystyle f_{\rm ave[-1,7]} = \boxed{\frac72}\)

Answer:

x<-4

Step-by-step explanation:

7 - 2x > 15

15+2x=7

x=-4

It has to be less than -4, so it can make the inequality true, you can plug in a number to the equations as well for example:

7-2(0)>15 Not True

7-2(-5)>15 True

Answer:

A

Step-by-step explanation:

Answer:

this is Easy, the answer is A.

Step-by-step explanation:

just count the number of squares which is 3, and then count the number of circles which is 6.

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

To know more about significant digits, visit:

https://brainly.com/question/1658998

#SPJ1

The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

To know more about significant digits, visit:

brainly.com/question/1658998

#SPJ1

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

Know more about quantity here:

https://brainly.com/question/13270106

#SPJ11

Answer:

Here is the answer. Solved

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Answer:  $1,415.47

Step-by-step explanation:

see spreadsheet below

A wave will travel 6.7 mile in 1 hour.

Given that,

A wave travels 1/3 mile in 1/20 hour.

How to calculate the distance in given time?

To calculate the value of distance at time is given as,

Distance = Speed X Time

To given condition wave travels 1/3 mile in 1/20 hour,

We calculate,

⇒ \(\frac{1}{3}\) ÷ \(\frac{1}{20}\)

Divide a fraction by multiplying its reciprocal,

⇒ \(\frac{20}{3}\)

⇒ \(6.66667\)

⇒\(6.7\) mile

So a wave will travel 6.7 mile in 1 hour.

Learn more about the distance at a given time visit:

https://brainly.in/question/38241305

#SPJ2

Answer:

\(-x-(-y) = y-x\)

Step-by-step explanation:

lets say you have two negative numbers, -x and -y (x and y are positive).

\(-x-(-y) = y-x\)

Your answer is a positive number.

Answer:

This is an acute angle, I accidently said it was a right angle before

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

For more such quaetions on simplifies

https://brainly.com/question/29369267

#SPJ8

As per the angle sum property, the interior angles that form the triangle is option

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

Angle sum property

Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.

Given,

Here we have the list of interior angles

A. 45, 45, 45*

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

E. 90,90°, 45°

F. 90, 90, 90°

Now, we have to find in which for these angle will form the tringle.

As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.

Based on these we have to verify each of the given interior angles,

A) 45 + 45 + 45 = 135

B. 60 + 60 + 60 = 180

C. 40 + 50 + 90 = 180

D. 30 + 60 + 90 = 180

E. 90 + 90 + 45 = 225

F. 90 + 90 + 90 = 270

Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.

To know more about Angle sum property here.

https://brainly.com/question/4316040

#SPJ1