Based on the average annual rainfall, calculate how much rainfall could be collected from a rooftop having the surface area of 100 feet by 200 feet. (7.5gallons

Answer:

40,000

Step-by-step explanation:

Since none of the numbers have enough numerical value to push the thousands place up, the ten thousands place will remain the same.

Answer:

10 divided by 5

Answer:

choice a is correct i beleive

Step-by-step explanation:

1) If the couple must sit together, there are 240 ways that they can be seated.

2) If the couple must not be together, there are 720 ways that they can be seated.

1) If the couple must sit together, we can think of them as one unit. So, there are 5 units to be seated around the table. We can choose any one of these units to be the starting point, and then arrange the other units clockwise around the table.

The couple can be arranged in two different ways within their unit. So, the total number of ways they can be seated is: 5! × 2 = 240.

2) If the couple must not sit together, we can think of them as separate units. So, there are 6 units to be seated around the table. We can choose any one of these units to be the starting point, and then arrange the other units clockwise around the table.

The couple cannot be seated next to each other, so there are 3 possible units where they cannot be seated next to each other. Once we have chosen one of these units for the starting point, there are 2 ways to arrange the couple within their unit. Therefore, the total number of ways they can be seated is: 5! × 2 × 3 = 720.

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Answer:

93.12

Step-by-step explanation:

If brianna works 5 hours and 40 minutes on saturday. you can turn this into a decimal. The decimal would obviously be 5.40

5.40 x 9.60 = 51.84 on saturday

Like saturday. you can do the same thing and turn them both into decimals.

5-1 means she would have 4 weeks

40- 10 would man she works 30 minutes

4.30 x 9.20 = 41.28 on sunday

41.28 + 51.84 = 93.12

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

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let's plug the value of x and y in the equation, from the coordinates of given point (-2 , 4) to find value of b (y - intercept) :

value of b (y - intercept) is 10

F(x) = Ke^t + C. In this expression, K represents the constant e^a and C is the constant of integration.

To find a simplified expression for the integral F(x) = ∫e^t dt, where a is a constant, we can proceed as follows:

First, let's evaluate the integral: ∫e^t dt.

The integral of e^t with respect to t is simply e^t, so the integral becomes:

F(x) = e^t + C,

where C is the constant of integration.

Next, we substitute t + a for t in the expression:

F(x) = e^(t+a) + C.

Since a is a constant, e^a is also a constant. Let's denote it as K:

F(x) = Ke^t + C.

Now, we have a simplified expression for F(x) in terms of F:

F(x) = Ke^t + C.

In this expression, K represents the constant e^a and C is the constant of integration.

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Answer:

A

Step-by-step explanation:

100/25=4

130x4=520

Answer:

speed = distance/time

Step-by-step explanation:

jsjdkflxlc

Answer:

$6.43

Explanation:

The given problem can be solved using the exponential growth equation below;

where a = the initial cost in 2003 = $4.75

r = rate in decimal = 1.8% = 1.8/100 = 0.018

x = number of years = 17 years

Let's go ahead and substitute the above values into the equation and solve for y;

5.60$

Step-by-step explanation:

28÷5=5.60 because it says how much would you pay if its 5 gallons for 28$

Answer:

The answer is 2/3.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

-2x+8y

-2(1/3)+8(1/6)

=2/3

Answer:

I guess the first one is correct........

When sin θ = - 3/5 and the terminal side of θ lies in quadrant III, then cos θ is  -4/5

The terminal side of an angle refers to the line that intersects the initial line to make an angle

In the problem the terminal side is said to be in the third quadrant and the in the third quadrant sin θ = - 3/5

sin θ = opposite / hypotenuse

using Pythagoras the adjacent is 4, in third quadrant we have -4

cos θ = - adjacent / hypotenuse = -4/5.

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Answer:

18h × 6g is equivalent to 6(3h + g)

because 6 x 3 = 18 and 6 x 1 = 6

The area of the given figure is 12 square meters

The given figure is a parallelogram

Parallelogram is a geometric figure that has both pair of opposites parallel sides and opposite sides are equal . Number of vertices and edges are four

The height of the parallelogram = 2 meters

The base length of the parallelogram = 6 meters

The area of the parallelogram = The height of the parallelogram × The base length of the parallelogram

Substitute the values in the equation

The area of the parallelogram = 2 × 6

Multiply the numbers

= 12 square meters

Therefore, the area is 12 square meters

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I have solved the question in general , as the given question is incomplete

The complete question is :

What is the area of the figure ?

Probability that he will choose debbie and esther as the two representatives is 1/20 .

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

probability he will choose debbie and esther as the two representatives = ?

Probability of chosing debbie is 1/5

Probability of choosing Esther is also 1/5

Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .

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Step-by-step explanation:

1) x^2-5x+x-5

=x(x-5)+1 (x-5)

=(x+1)(x-5)

3) a^2-25

= a^2-(5)^2

= (a+5)(a-5)

The estimated coefficient for Fitness Center in a regression analysis represents the expected change in the dependent variable associated with a unit increase in the independent variable.

It tells us how much having a Fitness Center affects the rent price. To determine how much the rent price for a 1-bedroom apartment would be if the complex has a Fitness Center, Parking Space, and Wireless Internet, we would need to know the specific coefficients for each of these independent variables in the regression analysis, as well as the constant term. We could then plug in the values for each variable and calculate the predicted rent price. It is important to note that the estimated coefficient for Fitness Center does not necessarily imply causation. Other factors could be influencing both the presence of a Fitness Center and the rent price, and a regression analysis only captures the relationship between the variables that are included in the model. Additionally, the size and direction of the coefficient can vary depending on the data and methodology used in the analysis.

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Check the picture below.

so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?

well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].

Answer:

3

Step-by-step explanation:

math

a. The percentage of a circle's circumference cut off by an angle that has a measure of 71.3 degrees plus 0.3 radians is approximately 20.4%.

b. The measure of this angle is: i. 71.3 degrees ii. 0.3 radians.

a. To determine the percentage of a circle's circumference cut off by an angle, we need to find the ratio of the angle's measure to a full circle's measure (360 degrees or 2π radians) and multiply it by 100%. In this case, the angle measures 71.3 degrees plus 0.3 radians. We can convert the radians to degrees by using the conversion factor: 1 radian is approximately equal to 57.3 degrees. So, the angle measures 71.3 degrees + (0.3 radians * 57.3 degrees/radian) = 71.3 degrees + 17.19 degrees ≈ 88.49 degrees. The percentage of the circle's circumference cut off by this angle is (88.49 degrees / 360 degrees) * 100% ≈ 24.58%.

b. The measure of this angle is given as 71.3 degrees plus 0.3 radians.

The angle with a measure of 71.3 degrees plus 0.3 radians cuts off approximately 20.4% of a circle's circumference. The angle itself measures 71.3 degrees plus 0.3 radians.

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Answer: 146

Step-by-step explanation:

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

Answer:

2. Isosceles triangle

3. Isosceles triangle

4. Isosceles triangle

5. Equilateral triangle

6. Scalene triangle or Isosceles triangle

Step-by-step explanation:

Answer:

2) Isosceles triangle

3) Scalene Triangle

4) Scalene Triangle

5)  Equilateral Triangle

6) Isosceles triangle

Step-by-step explanation:

the image should help you

The best explanation for the rounding error in Alex's program is that the arithmetic operations on floating-point numbers resulted in a round-off error, as binary floating-point representation cannot represent the number 0.8 exactly. The correct option is D).

The best explanation for the result is that the arithmetic operations on floating-point numbers resulted in a round-off error. In most programming languages, floating-point numbers are represented using a finite number of bits, which can result in some rounding errors when performing arithmetic operations.

This can occur because some numbers cannot be represented exactly using the available bits. In this case, the number 0.8 cannot be represented exactly using binary floating-point representation, leading to a small rounding error.

While this error may seem insignificant, it can accumulate over multiple operations and lead to more significant errors in certain situations.

Therefore, it is important to be aware of the limitations of floating-point arithmetic when working with numerical data in programming. The correct option is D).

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Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

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

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

Answer:

17

Step-by-step explanation:

because 2×4=8

and 8+9=17

a. The radius of the cylinder is 5.13 inches.

b. The radius will change in opposite to the height.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, the cylinder, has long been thought of as a three-dimensional solid. In basic geometry, it is regarded as a prism with a circle as its base.

a. We are given volume of cylinder as 894 cubic inches and the height is 10.8 inches.

So, we get

⇒ Volume = π\(r^{2}\)h

⇒ 894 = 3.14 * \(r^{2}\) * 10.8

⇒ 894 = 33.912 * \(r^{2}\)

⇒ \(r^{2}\)  = 26.36

⇒ r  = 5.13 inches

b. If the height of the cylinder is​ changed, but the volume stays the​ same, then the radius will change inversely. This means with increase in height, radius will decrease and vice versa.

Hence, the required solution have been obtained.

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