The radius of a cylindrical water tank is 5.5 ft, and its height is 8 ft. What is the volume of the tank?
Use the value 3.14 for 1, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answer:

14.57$

Step-by-step explanation:

The required balance in her account after 2 days is $14.57.

Given that,

Account balance ever falls below zero, the bank charges her a fee of $5.95 per day.

Today, the balance in Lin's sister's account is -$2.67.

We have to find,

The balance in her account after 2 days.

According to the question,

If she does not make any deposits or withdrawals, the balance in her account balance after 2 days is = (2)($5.95) = $11.90.

And Today, the balance in Lin's sister's account is -$2.67.

Then, The balance in her account after 2 days = The balance in her account after 2 days + The balance in Lin's sister's account.

= $11.90 + $2.67 = $14.57.

Hence,  The required balance in her account after 2 days is $14.57.

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1. A graph of two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle is shown below.

2. The three pair of corresponding angles and sets of proportionate sides include:

ΔACE ≅ ΔBDF, ΔAEC ≅ ΔBFD, and ΔCAE ≅ ΔDBF.

AC = BD, EC = FD, and AE = BF

3. Yes, the slope of line is the same between any two points on the line.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Part 1.

In this exercise, we would use an online graphing tool to create two similar, but not equal, right triangles by using line segments AB as the hypotenuse of each triangle.

Part 2.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent (similar) triangles and sets of proportionate sides:

Part 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using this formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope AC = (0 + 1)/(-3 + 5)

Slope AC = 1/2.

Slope BD = (3.5 - 2)/(4 - 1)

Slope BD = 1/2.

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The correct basis step for proving the statement P(n) using strong induction is to show that P(8) is true

Strong induction is a method of proving that a statement is true for all values of n by demonstrating that it is true for a base case and that if it is true for all values up to n, then it must also be true for n+1. It can be used to prove the statement P(n) that a postage of n cents can be formed using only 3-cent stamps and 5-cent stamps.

To demonstrate that P(8) is true is to do the proper basis step for strong induction. This is so that we may create an 8 cent postage using a 3-cent and a 5-cent stamp.

The following argument can be used to demonstrate that the basic step is P(8) being true:

A postage of 8 cents can be made with one 3-cent stamp and one 5-cent stamp.

Thus, P(8) must be true.

We don't need to check any other values for the base step because P(n) only depends on the values of P(k), where k n.

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The central metaphor which is presented in six degrees of separation is:

This refers to the figure of speech which makes use of comparison to show the similarity between two different things.

With this in mind and from the concept of six degrees of separation, we can see that it is based on the theory that people are about six or fewer connections away from each other.

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Answer:5:7

Step-by-step explanation:

From the given graph it is clear that

The total number of circles = 12

The total number of patterned circles = 5

The total number of plain circles = 7

We need to find the ratio of patterned circles to plain circles.

Substitute patterned circles = 5 and plain circles = 7 in the above formula.

Therefore, the ratio of patterned circles to plain circles is 5:7.

The triangle formed by the points A(-3, 6), B(2, 1), and C(-3, 1) is an isosceles triangle.

To determine the type of triangle formed by these points, we can analyze the lengths of the sides.

The distance between points A and B can be calculated using the distance formula: √((x2 - x1)^2 + (y2 - y1)^2). In this case, the distance between A(-3, 6) and B(2, 1) is √((2 - (-3))^2 + (1 - 6)^2) = √(25 + 25) = √50.

The distance between points B and C is √(((-3) - 2)^2 + (1 - 1)^2) = √((-5)^2 + 0) = 5.The distance between points C and A is √((-3 - (-3))^2 + (1 - 6)^2) = √(0 + 25) = √25 = 5.Comparing the lengths of the sides, we can see that all three sides have the same length: √50 = 5.

An isosceles triangle is a triangle that has two sides of equal length. Since the triangle formed by the points A, B, and C has two sides with a length of 5 units, it is classified as an isosceles triangle.Therefore, the triangle formed by the points A(-3, 6), B(2, 1), and C(-3, 1) is an isosceles triangle.

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Answer:

B

Step-by-step explanation:

Answer:

45??!

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

If there were 15 bunnies 5 were females so there is 10 men and if each female had 5 babies each then that would be 25 babies plus the 10 men should be 35

The given function is, g(x) = −4x^3(-3x^3)We have to compute the derivative of this function in two different ways. a) Using the Product Rule, [fg]'= f * g' + f' * gFor that, we have to fill in each blank and simplify g'(x).Let f(x) = −4x^3 and g(x) = (-3x^3)We know that, f'(x) = -12x^2 and g'(x) = -9x^2

So,

[fg]' = f * g' + f' * g(-4x^3) * (-9x^2) + (-12x^2) * (-3x^3)   [f(x) * g'(x)] + [f'(x) * g(x)]= 36x^5 - 36x^5= 0

Therefore, g'(x) = 0b) Using algebra first to simplify g, then differentiate without the Product Rule.The function is,

g(x) = −4x^3(-3x^3)  = 12x^6

First, we can simplify g(x) algebraically. Then, we have to differentiate the simplified function, which is easier. Let's simplify g(x), g(x) = 12x^6  Then, g'(x) = d/dx [12x^6] = 72x^5 Therefore, g'(x) = 72x^5.In this question, we are given a function g(x) = −4x^3(-3x^3) and we have to compute its derivative in two different ways. In the first method, we use the Product Rule to find the derivative. For that, we need to know the derivatives of both the functions f(x) and g(x). Then we apply the formula [fg]'= f * g' + f' * g.  In the second method, we first simplify the given function algebraically. Then, we differentiate the simplified function. Here, we don't need to use the Product Rule. We can use the basic rules of differentiation like the power rule, sum/difference rule, etc. to find the derivative. These two methods are different but equivalent ways of finding the derivative of a function.

In conclusion, we can say that we can use different methods to find the derivative of a function, depending on the complexity of the function and our convenience. The two methods we used in this question were the Product Rule and algebraic simplification followed by differentiation.

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Answer:

14

Step-by-step explanation:

Distance between X and Y = 17 - 5 = 12

\(\dfrac{3}{4} \ of \ 12 = \dfrac{3}{4}*12=3*3=9\)

3/4 of the way from  X to Y = 5 + 9 = 14

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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Logarithmic functions and exponential functions are inverse functions of each other

The value of x in the equation  log₃ (x + 5 ) = 4  is 76

The format of the logarithmic function log₃ (x + 5 ) = 4  is

solving  the equation

3⁴ = x + 5

81 = x + 5

x = 76

the solution to the equation log3 (x + 5) = 4 is x = 76.

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Answer:

Step-by-step explanation:

problem          justification

x+4+3x=72         given

4x+4=72            combine like terms or simplify

4x=68                subtraction property

x=17                  division property

Answer

Option A is correct.

The experiment had 6 treatments.

Explanation

The number of treatements multiplies the number of subsection under each section being tested for.

U

The uniform probability distribution is used with  option (d) a continuous random variable.

The uniform probability distribution is used for a continuous random variable, meaning that a variable can take on any value within a specified range, and the likelihood of any value within that range is equal. This distribution is often represented by a rectangle with height equal to the uniform probability density, and width equal to the range of the variable. In other words, if the range of a continuous random variable is from a to b, and we define the uniform distribution over this range, then the probability of any value between a and b is equal to (b-a)^-1. The uniform distribution is useful in various applications where the lack of knowledge of the underlying process leads to equal probabilities for all outcomes in a given range.

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Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.

Recovered memory:

The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.

Repressed Memory:

Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.

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The author included the quotation "Air gets pretty unpredictable behind a flapping wing" to A) explain that the current created by a bird differs from that of an airplane.

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions, or from one or more premises (factual statements) that are assumed to be generally (universally) true.

An inference can be defined as a process through which a reader can deduce the meaning or message (information) that is associated with a subject matter in a literary work, especially through induction.

Based on the information provided in lines 17 - 18 of the passage, we can infer and logically deduce that the author included the quotation "Air gets pretty unpredictable behind a flapping wing" in order to explain that the current created by a bird is different from that of an airplane because it was written immediately after the statement that "currents created by airplanes are far more stable than the oscillating eddies coming off of a bird."

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Answer:

z=2

Step-by-step explanation:

add 15 to both sides.

6z=-8z+28

add 8z to both sides.

14z=28

divide by 14 on both sides.

z=2

Answer:

z=2

Step-by-step explanation:

-15+6z=-8z+13

6z=-8z+28

14z=28

z=2

Answer:

A: -3

Step-by-step explanation:

I got it right on my quiz!

If  equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.

To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.

At the x-intercept, the y-coordinate is zero.

Given the equation of the line as 2x - y = -6.

we can substitute y = 0 since it is the y-coordinate at the x-intercept.

2x - 0 = -6

2x = -6

Divide both sides by 2:

x = -6/2

x = -3

Therefore, the x-intercept of the graph is -3.

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2176

Step-by-step explanation:

2+2=4 68(8)= 544

4× 68×8= 2176

Answer:

----- (a)

Step-by-step explanation:

The relationship between 7's in 771,568 is :--

700,000 is 10 times more than 70,000

Answer:

The ratio of mangos to grapes is 2:7.

Step-by-step explanation:

The original ratio of mangos to grapes would be 4:14. When it says mangos to grapes, it means mangos first, then grapes. If it said grapes to mangos, the grapes would go first. But, in this case the mangos go first. Now, we don't worry about the strawberries because it says to find the ratio of mangos to grapes, which is 4:14. Now, it says to simplify it to the simplest form. So, we can do this by dividing both numbers by the same number down as far as they can go as a whole number (a number without a decimal):

4 ÷ 2 = 2

14 ÷ 2 = 7

So, this is as far as we can go. So, our final answer is 2:7.

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Answer:

2:7

Step-by-step explanation:

4 mangos for every 14 grapes

the ratio right now is 4:14 this can be simplified by dividing by 2

4 divided by 2 = 2        ( 2 x 2 = 4 )

14 divided by 4 = 7       ( 7 x 2= 14)

Now the ratio is 2:7, or 2 mangos for every 7 grapes we know this is right because in order to use the amount the recipe calls for you need to double the answer

(adding separately is easier)

2+2 = 4

7+7 = 14

= 4:14

The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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The crane is 139.8cm tall.

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

Using Trigonometry

tan 30 = h/y

1/√3 = h/y

y= h√3

and, tan 25= h/y+62

         0.96= h/(h√3 +62)

             h= 0..96 (h√3 +62)

             h= 0.96*h*1.732+0.96*62

             h=0.796h +28.52

             0.2404h= 28.52

                  h= 139.8 cm

Hence, whooping crane is 139.8 cm.

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Answer:

u can't add 2 pictures...so....

Answer:

Attached the picture through your computer,laptop or phone and answer the question with a refernce  to the attached pictures for the other party.

Snothing tep-by-step explanation:

While on your computer, click on attach document

the box will pop up

selctect where the picture is save at either on desktop, of other document or PC.

Double click and it will upload on your message screen.

then write your messages with reference to the attachment and click send.

all done.

Answer:

sin A =9/29...............

Answer:

9/29

Step-by-step explanation:

The price of the product before promotional sales was 500,000.

To find what the previous price of the product was, we must take into account that we know that 87% of the value is equal to 435,000. So to find out how much the 13% (discount) that the product had is equivalent to, we do the following operation:

435,000 × 100 ÷ 87 = 500,000

So we know that the 13% discount was 65,000

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The probability of drawing a seven and then a four when randomly drawing two cards without replacement is 0.0045 or approximately 0.45%.

The probability of drawing a seven and then a four when randomly drawing two cards without replacement can be calculated using the following steps:

First, we need to determine the total number of possible outcomes when drawing two cards from a standard deck of 52 cards without replacement. This can be found using the combination formula:

C(52,2) = 52! / (2! * (52-2)!) = 1,326

Next, we need to determine the number of favorable outcomes where we draw a seven and then a four.

There are four sevens and four fours in a deck of 52 cards, so the probability of drawing a seven on the first draw is 4/52. Since we are not replacing the card, there are now 51 cards left in the deck, and three of them are fours. Therefore, the probability of drawing a four on the second draw is 3/51.

The probability of drawing a seven and then a four is the product of the probabilities of drawing a seven on the first draw and a four on the second draw:

P(seven and then four) = (4/52) * (3/51) = 0.0045 or approximately 0.45%.

Therefore, the probability of drawing a seven and then a four when without replacement is 0.0045 or approximately 0.45%.

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