3. Consider 2 3/4 divided by 1/8.
(B) Create and explain a model for the division.
(c) Find the quotient. Show your work or explain your reasoning.

Use the questions above to answer the one below. I've created the question for it already, just answer it please :)

Aaron and his friends Michael and Johnny order a pizza for lunch. They decide to save half of the pizza for dinner. How many slices of pizza will Aaron, Michael, and Johnny each get?

Answer:

the range is all the y values or output values.

Step-by-step explanation:

example

x y

1 2

2 4

3 6

4 8

range=(2,4,6,8)

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

To determine the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\), we need to consider the situation and the constraints given.

The function A(t) represents the area of the rectangular garden as a function of the length of one of its sides, which is denoted by t.

We are also told that Marama plans to fence the garden with 28 feet of wired fencing.

Now, let's break down the problem and find the appropriate values for the domain.

We know that the perimeter of a rectangle is the sum of all its sides. In this case, since we have a rectangular garden, the perimeter can be represented as:

\(Perimeter = 2t + 2w\),

where t is the length of one side (the width) and w is the length of the other side (the width).

The problem states that Marama plans to use 28 feet of wired fencing. Therefore, the perimeter of the garden must equal 28 feet:

\(2t + 2w = 28\).

Simplifying this equation, we have:

\(t + w = 14\).

We can express w in terms of t as \(w = 14 - t\).

The area of a rectangle is given by the product of its length and width:

\(Area = t \times w\).

Substituting the expression for w from step 2, we have:

\(A(t) = t \times (14 - t)\).

Simplifying further:

\(A(t) = 14t - t^2\).

To determine the appropriate values of the domain, we need to consider the context of the problem. Since we are dealing with a physical garden, both the length and width must be positive numbers. Additionally, the values of t must be feasible given the constraints of the perimeter.

We know that \(t + w = 14\), so \(t + (14 - t) = 14\), which simplifies to \(14 = 14\).

This shows that the value of t can range from 0 to 14, inclusive.

Therefore, the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\) are \(t \epsilon [0, 14]\).

To illustrate this graphically, we can plot the function \(A(t) = -t^2 + 14t\) and mark the appropriate values of the domain on the x-axis (representing t):

   ^

   |

A(t)|

   |

   |_______________________________

   0              t             14

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

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The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

2^4

Step-by-step explanation:

2*2*2*2

There are four 2's multiplied together

2 is the base and 4 is the exponent

2^4

Answer:

Hello There!!

Step-by-step explanation:

The answer is D. 2^4. 2^4 means the same as 2×2×2×2 which means 2 is multiplied my itself 4 times.

hope this helps,have a great day!!

~Pinky~

Answer:

The answer is C

Step-by-step explanation:

C

The total length of 9 rods will be 72 units.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The length of 6 identical iron rods is 48 unit.

Now,

Since, the length of 6 identical iron rods is 48 unit.

Hence, the length of 9 identical iron rods = 9 × 48 / 6

                                                                = 9 × 8

                                                                = 72 units

Thus, The total length of 9 rods will be 72 units.

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Answer:

11 is 4:6

12 is 0

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

\(P(A\cap B)=0\)

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

\(P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0\)

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, \(P(A\cap B)=0\).

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, \(P(A\cap B)=P(A)\times P(B)\).

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that \(P(A\cap B)=0\).

Now compute the value of \(P(A)\times P(B)\) as follows:

               \(P(A)\times P(B)=0.30\times 0.40=0.12\neq 0\)

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Answer:

2016

Step-by-step explanation:

1680:50=33.6

33.6x60=2016

Answer:

(f-v)/a = t

Step-by-step explanation:

f = v + at

Subtract v from each side

f-v = v-v + at

f-v = at

Divide each side by a

(f-v)/a = at/a

(f-v)/a = t

Answer:

f - v =  a

 t

Step-by-step explanation:

Equation:

f =  v + at

subtract -v on both sides

f - v = at

divide t on both sides of the equation

f - v = a

  t

Answer:

D. 60h = m

Step-by-step explanation:

A proportional equation that represents the relationship will be in the form of m = kh

Where,

Constant of proportionality = k = m/h

Using (2, 120),

k = 120/2

k = 60

Substitute k = 60 into m = kh

Thus:

m = 60h

This can also be written as 60h = m

Answer:

f(3) = 1

Step-by-step explanation:

substitute x = 3 into f(x) , that is

f(3) = 3² - 4(3) + 4 = 9 - 12 + 4 = 1

Answer:

1

Step-by-step explanation:

Substitute 3 for x in your equation leaving you with (3)^2-4(3)+4.

9-12+4

-3+4=1

Answer:

y=-1x+3

Step-by-step explanation:

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer:

What is the triangle?

Can you edit your question to contain a picture of the triangle so I can give you a definite answer?

Step-by-step explanation:

May I have brainliest please? :)

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

This is likely what Jeremy did

\(\frac{2\text{x}^2-10}{\text{x}-5}-\frac{\text{x}^2+15}{\text{x}-5}\\\\\frac{2\text{x}^2-10-\text{x}^2+15}{\text{x}-5}\\\\\frac{\text{x}^2+5}{\text{x}-5}\\\\\)

The error happens in line 2

This is what his steps should be

\(\frac{2\text{x}^2-10}{\text{x}-5}-\frac{\text{x}^2+15}{\text{x}-5}\\\\\frac{2\text{x}^2-10-(\text{x}^2+15)}{\text{x}-5}\\\\\frac{2\text{x}^2-10-\text{x}^2-15}{\text{x}-5}\\\\\frac{\text{x}^2-25}{\text{x}-5}\\\\\frac{(\text{x}-5)(\text{x}+5)}{\text{x}-5}\\\\\text{x}+5\)

On the 2nd step, we subtract all of (x^2+15) and not just the x^2 part. The negative distributes to each term in step 3. Then we combine like terms, factor and cancel out the (x-5) terms.

Therefore, \(\frac{2\text{x}^2-10}{\text{x}-5}-\frac{\text{x}^2+15}{\text{x}-5}=\text{x}+5\) is an identity as long as \(\text{x} \ne 5\) to avoid a division by zero error.

Answer:

if this is a true or false question the answer would be true

Step-by-step explanation:

a) Weight of the water:

Volume of bottle:

b) Weight of brine:

Density of brine:

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer: 40 dollars

Step-by-step explanation:

i hope the explanation is right:)

If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.

Stocks = 250

Net income = $4,000,000

Outstanding Shares = $1,000,000

Earnings Per Share = ?

Formula: EPS = Net Income / Outstanding Shares

Solution: EPS = Net Income / Outstanding Shares

= $4,000,000 / $1,000,000

= 4

Answer: Earnings Per Share = 4

Answer:

4

Step-by-step explanation:

PLATO correct answer

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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The first aircraft had 192 seats, the second aircraft had 104 seats and the third aircraft had 88 seats

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the sits in the first aircraft, b represent the second aircraft and c represent the third aircraft.

The first aircraft has 88 more seats than the second aircraft. Hence:

a = b + 88    (1)

Also, The third aircraft has 16 fewer seats than the second aircraft:

c = b - 16     (2)

If their total number of seats is 384​:

a + b + c = 384   (3)

From the three equations:

a = 192, b = 104, c = 88

The first aircraft had 192 seats, the second aircraft had 104 seats and the third aircraft had 88 seats

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Answer:

The original digit is 62

Step-by-step explanation:

Let the Tens be represented with T

Let the Units be represented with U

Given:

Unknown Two digit number

Required:

Determine the number

Since, it's a two digit number, then the number can be represented as;

\(T * 10 + U\)

From the first sentence, we have that;

\(T = 4 + U\)

\(T = 4+U\)

Interchanging the digit, we have the new digit to be \(U * 10 + T\)

So;

\((U * 10 + T) + (T * 10+ U) = 88\)

\(10U + T + 10T + U= 88\)

Collect Like Terms

\(10U + U + T + 10T = 88\)

\(11U + 11T = 88\)

Divide through by 11

\(U + T = 8\)

Recall that \(T = 4+U\)

\(U + T = 8\) becomes

\(U + 4 + U = 8\)

Collect like terms

\(U + U = 8 - 4\)

\(2U = 4\)

Divide both sides by 2

\(U = 2\)

Substitute 2 for U in \(T = 4+U\)

\(T = 4 + 2\)

\(T = 6\)

Recall that the original digit is \(T * 10 + U\)

Substitute 6 for T and 2 for U

\(T * 10 + U\)

\(6 * 10 + 2\)

\(60 + 2\)

\(62\)

Hence, the original digit is 62

The solution of the integration is:

∫ 1/(x ln (5x + 1)) dx = (1/5) ln(ln(5x + 1)) - (1/5) [(ln(5x + 1)) ln(ln(5x + 1)) - (5x + 1)] + C

Now, For integrate the function f(x) = 1/ (x ln (5x + 1)) dx, we can use substitution.

Let u = 5x + 1,

So, du/dx = 5

dx = du/5.

Substituting u and dx in terms of u in the original integral, we get:

= ∫ 1/(x ln (5x + 1)) dx

= ∫ 1/(ln u) (1/5) du

Now, integrate with respect to u:

= ∫ 1/(ln u)  (1/5) du

= (1/5) ∫ (ln u)^(-1) du

Using integration by parts,

dv = (ln u)⁻¹ du

v = ln(ln u)

u = ln u

du = (1/u) du

Now, we can substitute u and v in terms of u:

= (1/5) ln(ln u) - (1/5) ∫ (1/(u ln u)) ln(ln u) du

= (1/5) ln(ln u) - (1/5) ∫ (ln u)' ln(ln u) du

= (1/5) ln(ln u) - (1/5) [(ln u) ln(ln u) - ∫ (ln u) (1/ln u) du]

= (1/5) ln(ln u) - (1/5) [(ln u) ln(ln u) - u + C]

Substituting back u = 5x + 1, we obtain:

∫ 1/(x ln (5x + 1)) dx

= (1/5) ln(ln(5x + 1)) - (1/5) [(ln(5x + 1)) ln(ln(5x + 1)) - (5x + 1) + C]

Therefore, the solution is:

∫ 1/(x ln (5x + 1)) dx = (1/5) ln(ln(5x + 1)) - (1/5) [(ln(5x + 1)) ln(ln(5x + 1)) - (5x + 1)] + C

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

all are of note correct

Step-by-step explanation:

1,12×4=48 not true

2,2/3×3/5=2/5 not true

3,2/5+4/5=6/5 not true

4,8/5×5/4=2 not true