bicycle rental company charges a $5 flat fee plus $1.20 per hour. Select the expression that represents renting a bicycle for h hours. A. 5h + 120h B. (5 + 1.20)h C. 5 + 1.20h D. 5h + 1.20

Answer:

its upside down if you flip it people will see it better

Answer:

D (1,-2)

Step-by-step explanation:

This is the point of intersection aka meeting point.

The volume of this prism is 3150 cm³.

step1:

given 11cm, 19cm, 14cm, 11cm

To find: volume of given prism

the given prism is combination two prism

Triangular prism

cuboidal prism

volume of cuboidal prism =l*b*h

                                          =(15*14*11) cm^3

                                           =2310cm^3

step2:

volume of triangular prism=1/2*l*b*h

                                           =1/2*15*8*14    

                                            =840cm^3

step3:

volume of given prism=volume of cuboid + volume of triangular prism

                                     =(2310+840)cm^3

                                      =3150cm^3

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Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

The null hypothesis is H0: The average age of attorneys is less than 25.4 years. The alternative hypothesis is H1: The average age of attorneys is greater than or equal to 25.4 years. A null hypothesis is a statement of the assumption made before beginning a research study.

It is the hypothesis that the researcher would like to disprove or reject, so that the alternative hypothesis may be accepted or supported. On the other hand, an alternative hypothesis is a statement that is the opposite of the null hypothesis. It is what the researcher is actually trying to prove or support, and it is accepted when the null hypothesis is rejected. In this case, the null hypothesis states that the average age of attorneys is less than 25.4 years, while the alternative hypothesis states that the average age of attorneys is greater than or equal to 25.4 years.

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The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation 2x + 2y = 16 in slope-intercept form is

y = -x + 8.

Where slope = -1 and y-intercept is 8

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We have the equation as,

2x + 2y = 16

We need to convert in the form of y = mx + c.

Subtract 2x on both sides.

2y = -2x + 16

Divide both sides by 2.

y = (-2x + 16) / 2

y = -x + 8

This is in the form of slope-intercept form.

Where slope = -1 and y-intercept is 8

Thus,

The equation 2x + 2y = 16 in slope-intercept form is

y = -x + 8.

Where slope = -1 and y-intercept is 8

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Answer:

x = 7 , y = 7\(\sqrt{2}\)

Step-by-step explanation:

A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is

x = 7

Using Pythagoras' identity in the right triangle, then

y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

y = \(\sqrt{98}\) = \(\sqrt{49(2)}\) = \(\sqrt{49}\) × \(\sqrt{2}\) = 7\(\sqrt{2}\)

Answer:

Step-by-step explanation:

from the figure we understand that it is an isosceles right triangle, two equal angles and two equal sides, so x has the value 7, we solve with Pythagoras

x = 7

y = √ (7² + 7²)

y = √(49 + 49)

y = √98

y = 9.9

Answer:

B. Timeliness

Step-by-step explanation:

I remember learning this in math class. The Timeliness data quality trait refers to the availability and accessibility of the data. So, the answer is B.

The data quality trait that refers to the availability and accessibility of the data is Timeliness.

The data quality trait that refers to the availability and accessibility of the data is Timeliness. Timeliness is a measure of how up-to-date the data is and how quickly it can be accessed when needed.

For example, in a business setting, timeliness is important for making informed decisions based on real-time data. If the data is not readily available or is outdated, it may lead to poor decision-making.

Therefore, the correct answer to the question is B. Timeliness.

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The kind of sample that consists of the same percentage of Asian-American students as the population it is taken from is called a representative sample.

A representative sample is a subset of a population that accurately reflects the characteristics and proportions of the entire population. In this case, the population consists of 15% Asian-American students. By selecting a sample that also consists of 15% Asian-American students, it can be considered a representative sample.

A representative sample is important in statistical research because it allows for generalizations and inferences to be made about the population based on the characteristics observed in the sample. Ensuring that the sample reflects the population proportions, it increases the likelihood of obtaining accurate and reliable results.

Choosing a representative sample is crucial to minimize bias and ensure the validity of the study's findings. It helps to avoid underrepresentation or overrepresentation of certain groups within the population, which can lead to misleading or inaccurate conclusions. Therefore, selecting a sample that consists of the same percentage of Asian-American students as the population is an example of a representative sample.

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Answer:no

Step-by-step explanation:

if it was then it supposed to be like 4*20=5*15 which is not right equation

The percentage increase in the price of gasoline rose is 6%.

Percentage:

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, and none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Here we have to find the percentage increase in the price of gas.

Original price = $3.50

Increased price = $3.71

Increase in the price = 3.71 - 3.50

                                  = $0.21

The formula for percentage increase:

Percentage increase = price increase/ original price × 100

                                   = 0.21/ 3.50 × 100

                                   = 3/ 5 × 10

                                    = 6%

Therefore the percentage increase in the price is 6%.

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Answer:

17

Step-by-step explanation:

✌

If events A and B are independent with P(A) = 0.68 and P(A and B) = 0.544 then the value of P(B) is 0.8

We know that if events A and B are independent, then:

P(A and B) = P(A) × P(B)

We are given P(A) = 0.68 and P(A and B) = 0.544.

Substituting these values into the equation above, we get:

0.544 = 0.68 × P(B)

Solving for P(B), we get:

P(B) = 0.544 / 0.68 = 0.8

P(B) = 0.800

Hence, if events A and B are independent with P(A) = 0.68 and

P(A and B) = 0.544 then the value of P(B) is 0.8

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The coordinates for E from the parallelogram CDEH are (5, 1).

We know that diagonals of parallelograms bisect each other. Therefore coordinates of the midpoint of CE and DH will be the same.

Here, (x, y) = [(2+8)/2, (5+1)/2]

= (5, 3)

Let the coordinates of E be (a, b)

Now, (5, 3) = [(5+a)/2, (5+b)/2]

(5+a)/2 =5 and (5+b)/2 = 3

5+a=10  and  5+b=6

a=10-5           b=6-5

a=5                b=1

Therefore, the coordinates for E from the parallelogram CDEH are (5, 1).

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A linear function is one that begins with f{x} followed by the rest of the equation that respects the slope intercept form of an equation

Answer:

b=21

Step-by-step explanation:

P=2(a+b)

54=2(6+b)

54=12+2b

2b+12=54

2b=54-12

2b=42

b=21

6*21 (area)=126

I hope I helped!

How to verify my answer:

P=2(6+21

P=(12+42)

P=54

AHA! So my answer is correct!

Hope I helped!

The required answer is "Mary will pay Joe an interest rate of 8% on every dollar she borrows."

Given that the expected inflation rate for Mary is 5% and her willingness to pay a real interest rate is 3%, and Joe's expected inflation rate is 5%, and he is willing to lend money if he receives a real interest rate of 3%.

Let the actual inflation rate be 6%, and the loan contract specifies a nominal interest rate of 8%.

Now, we can calculate the nominal interest rate as follows:

Nominal interest rate = Real interest rate + Inflation rate 8% = 3% + 6%

Here, the nominal interest rate exceeds the expected inflation rate for both Joe and Mary.

Therefore, Joe lends money, and Mary borrows money.

According to the given question, what must be calculated is the amount that Mary pays Joe for every dollar she borrows.

This payment can be calculated as follows:

1 + Real interest rate = 1 + 0.03 = 1.03 (this is the rate at which Mary can borrow money)

Inflation rate = 6%

Nominal interest rate = 8%

Using the Fisher equation:

Nominal interest rate = Real interest rate + Inflation rate

Hence, the required answer is "Mary will pay Joe an interest rate of 8% on every dollar she borrows."

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Answer:

1

Step-by-step explanation:

  Identity used (a - b)(a+b)= a² -b²

        \(\text{Conjugate of $\sqrt{5}+\sqrt{4} = \sqrt{5}-\sqrt{4}$}\)

\(\sf \dfrac{1}{\sqrt{5}+\sqrt{4}}=\dfrac{1*(\sqrt{5}-\sqrt{4})}{(\sqrt{5}+\sqrt{4})(\sqrt{5}-\sqrt{4})}\)

                \(\sf =\dfrac{\sqrt{5}-\sqrt{4}}{(\sqrt{5})^2-(\sqrt{4})^2}\\ \\ = \dfrac{\sqrt{5} -\sqrt{4}}{5-4}\\\\ = \dfrac{\sqrt{5}-\sqrt{2*2}}{1}\\\\= \sqrt{5}-2\)

In the same way,

     \(\dfrac{1}{\sqrt{5}+\sqrt{6}}=\sqrt{6}-\sqrt{5}\\\\\dfrac{1}{\sqrt{7}+\sqrt{6}}=\sqrt{7}-\sqrt{6}\\\\\dfrac{1}{\sqrt{8}+\sqrt{7}}=\sqrt{8}-\sqrt{7}\\\\\dfrac{1}{\sqrt{9}+\sqrt{8}}=\sqrt{9}-\sqrt{8}= \sqrt{3*3}-\sqrt{8}=3-\sqrt{8}\)

\(\dfrac{1}{\sqrt{4}+\sqrt{5}}+\dfrac{1}{\sqrt{5}+\sqrt{6}}+\dfrac{1}{\sqrt{6}+\sqrt{7}}+\dfrac{1}{\sqrt{7}+\sqrt{8}}+\dfrac{1}{\sqrt{8}+\sqrt{9}} \\\\\\=\sqrt{5}-2+\sqrt{6}-\sqrt{5} +\sqrt{7}-\sqrt{6}+\sqrt{8}-\sqrt{7}+ 3 -\sqrt{8}\)

= -2 + 3

= 1

Answer:

Step-by-step explanation:

Lets verify with Pythagorean:

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles are less than 90°.

With this the triangle is acute.

Correct choice is A.

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

So the area of the base of the solid is 16 square units.

The base of a solid is the region enclosed by y=-x^2/9 4 and y=0. This region can be found by finding the intersection points of these two equations and then integrating the difference between the two functions.

First, we need to find the intersection points of these two equations. To do this, we can set the two equations equal to each other and solve for x:

y=-x^2/9 4 = y=0

x^2/9 4 = 0

x^2 = 36

x = ±6

So the intersection points are (6,0) and (-6,0).

Next, we need to find the area of the region between these two functions. This can be done by integrating the difference between the two functions:

∫(-x^2/9 4 - 0)dx from -6 to 6

= ∫(-x^2/9 4)dx from -6 to 6

= (-1/9)∫x^2dx from -6 to 6

= (-1/9)(x^3/3) from -6 to 6

= (-1/9)(216/3 - (-216/3))

= (-1/9)(144)

= -16

So the area of the base of the solid is 16 square units.

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The guidance counselor can use the round-robin scheduling algorithm to schedule 4 students for sessions over the coming month. This algorithm ensures that each student is scheduled exactly twice by rotating them through each of the available time slots in a circular manner.

The round-robin scheduling algorithm is a technique used in computing and scheduling theory. It can also be used in guidance counseling to schedule students for sessions. The algorithm is designed to allocate resources, in this case, the available time slots, to multiple clients or processes, in this case, the 4 students, in a fair and efficient manner.In the context of this question, the guidance counselor has 8 time slots available and needs to schedule each student exactly twice. The round-robin scheduling algorithm can be used to achieve this goal by rotating each student through the available time slots in a circular manner.

This means that each student will be assigned to each time slot exactly once before the algorithm starts over and rotates them through the time slots again.In other words, the guidance counselor can start by assigning the first time slot to the first student, the second time slot to the second student, and so on until all students have been assigned to one time slot. The algorithm can then repeat this process until each student has been scheduled twice.Overall, the round-robin scheduling algorithm is an effective way for the guidance counselor to schedule the 4 students for sessions over the coming month in a fair and efficient manner while ensuring that each student is scheduled exactly twice.

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Answer:

50/100 x X = 1.5

x 100       x100

50x = 150

÷50   ÷50

X = 3

X = 3 liters I am pretty sure

64.77% of a given amount remains after 900 years.

To determine the percentage of radioactive radium remaining after 900 years, we'll use the half-life formula:

Final Amount = Initial Amount * \(1/2^{(time elapsed / half-life)}\)

In this case, the half-life is 1599 years and the time elapsed is 900 years. We want to find the percentage remaining, so let's assume the initial amount is 100%.

Final Amount = 100 * \((1/2)^{(900 / 1599)}\)

Now, we'll calculate the exponent:

Exponent = 900 / 1599 ≈ 0.5635

Then, we'll compute the final amount:

Final Amount ≈ 100 * \((1/2)^{0.5635}\) ≈ 100 * 0.6477 ≈ 64.77%

After 900 years, approximately 64.77% of the initial radioactive radium remains. This percentage was found using the half-life formula, which accounts for the exponential decay of radioactive substances over time.

The formula shows how the remaining amount of a substance decreases as time progresses based on its half-life, which is the time it takes for half of the substance to decay. In this scenario, radium's half-life of 1599 years and the 900-year time frame were used to determine that roughly 64.77% of the initial radium remains.

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The curved surface area of a cylinder with radius of 7 cm and height of 15 cm is 259.7 cm²

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

The curved surface area of a cylinder is:

Curved surface area = 2π * radius * height

From the image:

Radius = 7 cm, height = 15 cm, therefore:

Curved surface area = 2π * 7 cm * 15 cm = 259.7 cm²

The curved surface area is 259.7 cm²

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If C is any piecewise smooth simple closed plane curve and f and g are differentiable functions, then integral\(_c f(x) dx + g(y) dy = 0\)can be shown. Let C be a simple closed piecewise smooth curve in the plane, and let f and g be continuously differentiable functions on an open region containing C.

Then the line integral of f(x)dx + g(y)dy along C can be expressed in terms of the line integral of the vector field F = T.2. If f and g are twice differentiable functions, then\(nabla^2(fg) - f nabla^2 g + g nabla^2 f + 2 nabla f nabla g\) can be shown. Let f and g be twice continuously differentiable functions on an open region R in R2. Then the Laplacian of the product f. g is given by:nabla^2(fg) = f nabla^2 g + g nabla^2 f + 2 nabla f nabla g3.

If f is a harmonic function, that is, nabla^2 f = 0, then the line integral integral f_y dx - f_x dy is independent of path in a simple region D. This is Green's Theorem which states that if f(x,y) is a harmonic function on a simply connected region D of the xy-plane and C is a simple closed curve in D with counterclockwise orientation, then the line integral of f(x,y)dx - f(x,y)dy along C is independent of the path joining the endpoints of C.

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Step-by-step explanation:

Here ,

Length = 7 cm

breadth = 3 cm

height = 10 cm

Volume = ?

Now ,

Volume ( v ) = l × b × h

= 7 cm × 3 cm × 10 cm

\( = 210 {cm}^{3} \)

Answer:

1. 2.997

2. 29.93

Step-by-step explanation:

1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.

2. Same thing, gotta multiply all given values

The labeled points are (-2, 1), values into the Point-slope form  y - 1 = -2(x + 2).

The equation of the line in point-slope form, we need to use the slope-intercept form of a line, which is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m is the slope of the line.

In this case, the given slope is -2, and the labeled point is (-2, 1). Substituting these values into the point-slope form, we have:

y - 1 = -2(x - (-2))

Simplifying further:

y - 1 = -2(x + 2)

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