A student sketched some art on an 8.5 inch x 11 inch piece of paper. She wants to resize it to fit an 8 inch x 10 inch frame (as shown below)
What percent of the original sketch was still able to be included in the frame?
A. 75.2%
B. 85.6%
C. 93.8%
D. 96.6%

Answer:

1/15

Step-by-step explanation:

Total = 6 bottles

1 orange and apple

Without replacement:

P(orange and apple) = 1/6 x 1/5 = 1/15

Answer: Probability = 1/15

Answer:

None

Step-by-step explanation:

This doesn't really make sense, If the item is 629$ and Keith only gives 50$ Keith is the one who should pay.

Answer:

Keith should get $43.71

Step-by-step explanation:

The answer is 43.71 because 50 minus 6.29 equals 43.71

Answer:

B

Step-by-step explanation:

Answer:

y>-2x-3

Step-by-step explanation:

I think, not sure.

Answer:

16,200 im not sure if its right just multiply everything then add to multiplication x3

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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\((0,-6) \longrightarrow (6,0)\\\\(4, -6) \longrightarrow (6,4)\\\\(6,-14) \longrightarrow (14, 6)\\\\(-2, -12) \longrightarrow (12, -2)\)

An example of a function f: R^2 -> R that is continuous at 0, has directional derivatives at 0 for all u in R^2, but is not differentiable at 0 can be provided.

Consider the function f(x, y) = |x| + |y|. To prove that f is continuous at 0, we need to show that the limit of f(x, y) as (x, y) approaches (0, 0) exists and is equal to f(0, 0).

Let's evaluate the limit:

lim_(x,y)->(0,0) (|x| + |y|) = 0 + 0 = 0

Since the limit is equal to 0 and f(0, 0) = |0| + |0| = 0, the function is continuous at 0.

Next, we need to show that the directional derivatives of f at 0 exist for all u in R^2. The directional derivative D_u f(0) can be calculated using the definition:

D_u f(0) = lim_(h->0) (f(0 + hu) - f(0))/h

For any u in R^2, the limit exists and is equal to 1 since f(0 + hu) - f(0) = |hu| = |h||u| and |u| is constant. Thus, the directional derivatives exist for all u in R^2.

However, f is not differentiable at 0 because the partial derivatives ∂f/∂x and ∂f/∂y do not exist at 0. Taking the partial derivative with respect to x at (0, 0) yields:

∂f/∂x = lim_(h->0) (f(h, 0) - f(0, 0))/h = lim_(h->0) (|h| - 0)/h

This limit does not exist since the value of the limit depends on the direction of approach (from the positive or negative side). Similarly, the partial derivative with respect to y does not exist.

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Answer:

3.5 or 7/2

Step-by-step explanation:

1 to the power of -5=1 ×7= 7

and 2^-1 is .5

so 7×.5= 3.5

The ratio of students who secured grades A,B,C and D​ is 9 : 15 : 4 : 2

From the question, we have the following parameters that can be used in our computation:

Students = 60

A = 18

B = 30

C = 8

D = 4

When represented as a ratio, we have

Ratio = A : B : C : D

substitute the known values in the above equation, so, we have the following representation

A : B : C : D = 18 : 30 : 8 : 4

Simplify

A : B : C : D = 9 : 15 : 4 : 2

Hence, the ratio of students who secured grade A,B,C and D​ is 9 : 15 : 4 : 2

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The Shannon index value for an area in which only a single species is present is zero. This is because the Shannon index takes into account both species richness (the number of different species present) and evenness (the relative abundance of each species).

The Shannon Diversity Index (H') is used to measure the diversity of species in a given area and is calculated as H' = -Σ(pi)ln(pi), where pi is the proportion of individuals belonging to the i-th species. In an area where only a single species is present, pi would equal 1, meaning that there is no variation in species and only one species is observed.

Therefore, ln(pi) would be 0, and the entire summation would be equal to 0. As a result, the Shannon Diversity Index for an area with only one species would be 0, indicating no diversity in the community.

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The probability for the particle to exist between x=0 and x=L/3, when the quantum number n=3, is 1/9.

In quantum mechanics, a particle in a one-dimensional box of length L can only occupy certain discrete energy levels determined by the quantum number n. The energy levels are given by the equation En = (\(n^2\) * \(h^2\))/(8m\(L^2\)), where h is Planck's constant and m is the mass of the particle.

Given that the quantum number n = 3, we can determine the energy associated with this level as E3 = (\(3^2\) * \(h^2\))/(8m\(L^2\)).

The probability of finding the particle between x=0 and x=L/3 corresponds to the portion of the total probability density function (PDF) within that range. The PDF for a particle in a box is given by P(x) = |ψ\((x)|^2\), where ψ(x) is the wave function.

For the ground state (n = 1), the wave function is a sin(xπ/L) and the corresponding PDF is proportional to \(sin^2\)(xπ/L). For n = 3, the wave function becomes sin(3xπ/L), and the corresponding PDF is proportional to\(sin^2\)(3xπ/L).

To find the probability, we integrate the PDF from x=0 to x=L/3, which is equivalent to calculating the area under the PDF curve within that range. In this case, the integral is ∫[0 to L/3] \(sin^2\)(3xπ/L) dx.

Evaluating this integral gives us a result of 1/9, indicating that there is a 1/9 probability of finding the particle between x=0 and x=L/3 when the quantum number n=3.

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Answer:

$45m+$80= total money spent

Step-by-step explanation:

the $45 is multiplied by the number of months that the plan is used becuase that is the amount that must be paid per month, and you add the $80 that only needs to be paid once.

I hope that helps!

Thus, Jakob's function C(n) = C(n-1) + 4 accurately represents the number of circles needed to make the nth figure in the given pattern, while Margaret's function C(n) = 4n - 3 does not .

Jakob's function states that the number of circles needed to make the nth figure is equal to the number of circles needed to make the (n-1)th figure plus 4. This implies that for each subsequent figure, 4 more circles are added to the previous figure.

As given C(1) = 1, then according to Jakob's function,

C(2) = C(1) + 4 = 1 + 4 = 5,

C(3) = C(2) + 4 = 5 + 4 = 9, and so on.

This matches the pattern where each figure requires 4 more circles than the previous figure. Therefore, Jakob's function represents the number of circles needed to make the nth figure in the pattern.

Thus, Jakob's function C(n) = C(n-1) + 4 accurately represents the number of circles needed to make the nth figure in the given pattern with each figure using 4 more circles than previous one

Margaret's function: C(n) = 4n - 3

Margaret's function states that the number of circles needed to make the nth figure is equal to 4 times n minus 3. This function represents a linear relationship where the number of circles increases with n. If we plug in n = 1, we get C(1) = 4(1) - 3 = 1, which matches the first figure in the pattern.

However, for n > 1, the function does not accurately represent the number of circles needed for the subsequent figures in the pattern. Therefore, Margaret's function does not fully represent the number of circles needed to make the nth figure in the pattern.

Margaret's function C(n) = 4n - 3 does not represents the number of circles needed to make the nth figure .

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Complete Question: Two students each write a function, C(n) , that they think can be used to find the number of circles needed to make the nth figure in the pattern shown. Use the drop-down menus to explain why each function does or does not represent the number of circles needed to make the nth figure in the pattern?(refer to the image attached)

After answering the prοvided questiοn, we can cοnclude that  As a result, equatiοn the revenue frοm the pοetry cοntest entry fee was $410.

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true.

Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible. In the equatiοn "x2 + 2x - 3 = 0," fοr example, the variable x is raised tο the secοnd pοwer. Lines are used in a variety οf mathematical disciplines, including algebra, calculus, and geοmetry.

Let's begin by cοnstructing an equatiοn based οn the given data:

Entry fee revenue * (1 - cοmmissiοn rate) + 150 = prize mοney

This equatiοn can be simplified by substituting the fοllοwing values:

Entry fee revenue * (1 - 0.4) + 150 = 396

Simplifying even mοre, we get:

Entry fee revenue * 0.6 = 246

When we divide bοth sides by 0.6, we get:

Entry fee revenue = 246 / 0.6 = 410

As a result, the revenue frοm the pοetry cοntest entry fee was $410.

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The third one, 2 to the power of 5 over 6

√2 * 3√2

convert from radical form to exponent form to solve for the same root

( x^m/n = n√x^m )

2^(1/2) * 2^(1/3)

2^{3/6} * 2^{2/6} - find common denominator (6)

6√(2^3) * 6√(2^2) - convert back to radical form

6√(2^3 * 2^2)- combine

6√(2^5)

then convert to exponential form again

~ 2^5/6 ~

Answer:

3rd answer.

Step-by-step explanation:

The conversion time for a 12-bit ADC with a clock frequency of 1 MHz is 12 microseconds (μs).

The conversion time for a 12-bit ADC with a clock frequency of 1 MHz is 13 microseconds.

An Analog to Digital Converter (ADC) transforms an analog signal into a digital signal.

The conversion time for an ADC (Analog-to-Digital Converter) can be calculated using the formula:

Conversion Time = (Number of ADC Cycles x Clock Period)

For a 12-bit ADC with a clock frequency of 1 MHz, each conversion requires 12 cycles of the ADC clock. The clock period can be calculated as the inverse of the clock frequency:

Clock Period = 1 / 1,000,000 = 1 μs

Therefore, the conversion time can be calculated as:

Conversion Time = (12 x 1 μs) = 12 μs

So the conversion time for a 12-bit ADC with a clock frequency of 1 MHz is 12 microseconds (μs).

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Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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Answer:

y=-2x-3

Step-by-step explanation:

y-y1=m(x-x1)

The simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

The equation can be simplified as follows:

7y + 8 = 9 + 3y + 2y

We have to combine like terms

Hence,

7y + 8  = 9 + 3y + 2y

7y + 8 = 9 + 5y

subtract 5y from both sides

7y - 5y + 8 = 9 + 5y - 5y

2y + 8 = 9

Let's subtract 8 from both sides

2y + 8 - 8 = 9 - 8

2y = 1

Therefore, the simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

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Answer:

3/4 of a 6-ounce glass will be drunk by her in one hour.

Step-by-step explanation:

Given time = 2/3 of hour

                  = 2/3 (60)       As hour = 60 mins

                  = 120/3

                   = 40 mins

Given quantity of water = 1/2 of 6-ounce

                                      = 3 ounce

So,

  In 40 mins, water intake is 3 ounce

  In 1 min, water intake is 3/40

  In 60 mins, water in take is (3/40)*60 = 4.5 ounce

Quantity of water intake in 60 mins:

       4.5 ounce or 3/4 of 6-ounce glass

I hope it will help you.

Answer:

tada

Step-by-step explanation:

y decreases

exponential decay, there for the function is exponential

y > 0

y=8

x=1,y=5

a.  The odds in favor of choosing a green marble can be expressed as 4:3.

b.  The odds against choosing a green marble are 3:4.

To determine the odds in favor of choosing a green marble, we need to find the ratio of the number of favorable outcomes (green marbles) to the number of unfavorable outcomes (non-green marbles).

a. There are four green marbles and three non-green marbles (yellow marbles) in the set. Therefore, the odds in favor of choosing a green marble can be expressed as 4:3.

b. The odds against choosing a green marble can be found by taking the reciprocal of the odds in favor. In this case, the odds against choosing a green marble are 3:4.

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The merchant uses Selling Price = Cost + $3.00 to determine the selling price.

Addition is a process of combining two or more numbers.

A merchant adds $3.00 to his cost to determine his selling price.

The cost is denoted by c.

The selling price is given by f(c).

As there is given add in the sentence, it means we have to use the addition rule.

Selling price is the sum of cost plus three

Selling Price = Cost + $3.00

So the table becomes as below

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

Hence, the merchant uses Selling Price = Cost + $3.00 to determine the selling price.

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Answer: Amortization and depreciation are two methods of calculating the value for business assets over time. ... Amortization is the practice of spreading an intangible asset's cost over that asset's useful life. Depreciation is the expensing of a fixed asset over its useful life.

Step-by-step explanation: hopes this helps...

Slump Test, flow table test, compaction factor test, vee-bee consistometer test and Kelly ball test are the several testes of fresh properties of concrete.

The tests for fresh properties of concrete are conducted to assess the workability and consistency of the concrete mixture before it sets and hardens. Here are several tests that can be performed:

1. Slump Test: This test measures the consistency and workability of fresh concrete. A cone-shaped mold is filled with concrete, and then the mold is removed to observe how much the concrete slumps or subsides. The slump value indicates the flow and cohesiveness of the concrete.

2. Flow Table Test: This test is used to determine the flowability or spreadability of self-compacting concrete. The concrete is placed on a flow table, and the table is lifted and dropped repeatedly. The diameter of the concrete spread after a specific number of drops is measured to assess its flowability.

3. Compaction Factor Test: This test measures the ability of concrete to flow and compact under external forces. A known volume of concrete is placed in a cylindrical mold, and the compaction factor is calculated by comparing the final volume with the initial volume.

4. Vee-Bee Consistometer Test: This test is used to determine the consistency and workability of concrete. A vibrating table with a container is used to subject the concrete to vibration, and the time taken for the concrete to spread a certain distance is measured. This time is known as the Vee-Bee time and indicates the workability of the concrete.

5. Kelly Ball Test: This test measures the workability of fresh concrete by determining the depth of penetration of a standardized metal ball dropped onto the concrete surface. The depth of penetration indicates the consistency and flow of the concrete.

These tests help engineers and contractors evaluate the properties of fresh concrete, ensuring that it meets the required specifications for proper placement and finishing. It's important to note that these tests may vary depending on the specific requirements and standards of the project or region.

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It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

Dennis' reasoning is incorrect.

To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.

Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.

The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.

To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

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Answer:

Negative 0.2 (x minus 4) = negative 1.7.

Negative 0.2 x + 0.8 = negative 1.7.

Negative 0.2 x = negative 2.5. x = 12.5.

Step-by-step explanation:

i believe thats the correct anwser

Answer:

its c

Step-by-step explanation:

on egde