Which list shows the lengths from shortest to longest?
0.2, one-fourth, StartFraction 3 Over 8 EndFraction, 0.8, StartFraction 7 Over 8 EndFraction
0.2, one-fourth, StartFraction 3 Over 8 EndFraction, StartFraction 7 Over 8 EndFraction, 0.8
One-fourth, 0.2, StartFraction 3 over 8 EndFraction, StartFraction 7 Over 8 EndFraction, 0.8
0.8, one-fourth, StartFraction 3 Over 8 EndFraction, 0.2, StartFraction 7 Over 8 EndFraction

Answer:

That would be the 3rd explanation, the plane has 4 points.

Step-by-step explanation:

Answer: I think that the answer is C

Step-by-step explanation:

Answer: A. -11.45

Step-by-step explanation:

Given:

The objective is to find the line of reflection at which the triangle carries onto itself.

Explanation:

To obtain the reflection of the rectangle on itself, it must reflect over the midpoint of each parallel side of the rectangle.

The line passing through the midpoint of the rectangle in the x-axis is x= 2.

Similarly, the line passing through the midpoint of the rectangle in the y-axis is y = 1/2.

Thus, the reflecting lines are x = 2 and y = 1/2.

Hence, option (A) is the correct answer.

Based on your knowledge of context-dependent memory, you recommend that Delores studies in an environment similar to the exam setting to enhance memory recall and performance.

Context-dependent memory refers to the phenomenon where memory recall is improved when the external environment during learning or encoding matches the environment during retrieval. To leverage this effect for effective studying, you advise Delores to recreate the exam setting as much as possible while studying. This means studying in a quiet place, similar to the exam room, and using similar materials such as textbooks or online resources.

By studying in a context similar to the exam environment, Delores can enhance memory retrieval during the actual exam. The familiarity of the surroundings, sensory cues, and overall context can trigger associations and facilitate the retrieval of information learned during studying. This can result in better performance and improved memory recall, as the brain is primed to retrieve information within the same context it was learned.

It's important to note that context-dependent memory is just one strategy among many, and different individuals may have different preferences and learning styles. Delores should also consider other effective study techniques such as active learning, spaced repetition, and self-testing to optimize her exam preparation.

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.

To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.

For the given value;

= 49,000 grams

write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10

= 4.9000 × 10⁴

This could be written as;

= 4.9 × 10⁴.

Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.

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Answer:

B

Step-by-step explanation:

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

A 5 •1/2

Step-by-step explanation:

Sorry i misunderstood it for a second

Answer:

2/5 I think

Step-by-step explanation:

Answer:

$0.25

Step-by-step explanation:

2-0z bag of M&Ms costing $0.50 is better, because

0.50/2 = $0.25

Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A(- 3, 1 ) → (- 3, - 1 )

B(- 1, 3 ) → (- 1, - 3 )

C(- 2, 1 ) → (- 2, - 1 )

A translation of 4 units up means adding 4 to the y- coordinate

( - 3, - 1 ) → A' (- 3, - 1 + 4 ) → A' (- 3, 3 )

(- 1, - 3 ) →B' (- 1, - 3 + 4 ) → B' (- 1, 1 )

(- 2, - 1 ) → C' (- 2, - 1 + 4 ) → C' (- 2, 3 )

Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37

Dianne and Tobi 14/9 hours to clean the house if they work together.

The total work required to clean the house is equivalent to 1 unit.

If Dianne can clean the house in 2 hours, she can clean 1/2 of the house in 1 hour (1/2 hour = 1 unit of work / 2 hours).

If Tobi can clean the house in 7 hours, he can clean 1/7 of the house in 1 hour (1/7 hour = 1 unit of work / 7 hours).

Working together, the two of them can clean 1/2 + 1/7 of the house in 1 hour.

\(1/2 + 1/7 = 7/14 + 2/14 = 9/14\) of the house can be cleaned in 1 hour.

Dianne and Tobi 14/9 hours to clean the house if they work together.

Rounding off to the nearest tenth:

14/9 hours = 1.56 hours (approximately)

Dianne and Tobi approximately 1.56 hours (or 1 hour and 36 minutes) to clean the house if they work together.

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Answer:

Step-by-step explanation:

b is the side of the triangle pyramid.

a is the height of the base triangle

s is the slant height of a triangular pyramid.

1⁄2 (a × b) is the base area of the triangular faces.

3⁄2 (b × s) is the product of the perimeter and slant height of a pyramid.

Answer:

It's the third option

Step-by-step explanation:

One sides needs to have Lunches and the other needs to have how many is sold

It also needs to be clear and option 2 Is not as clear as 1 and 3

the only options that leaves us is 1 and 3

option 1 has the wrong labels

so.it is OPTION 3

Answer:

-360

Step-by-step explanation:

step1 doing the numbers in  bracket

    = (8)(-45)

step2 multiply the numbers

    =(8*-45)

    =-360

Step-by-step explanation:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

it can be use in equation

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.

After computing the following given \(A.) f(−5) + f(4)B.) f(−5) − f(4)\) we got final answer as negative 54. We used principles of Functions in mathematics to solve this problem.

A.) To compute \(f(−5) + f(4)\), we must first calculate the values of\(f(−5)\) and \(f(4). f(−5) = −2(-5)^2 + 4(-5) + 10 = -50 + -20 + 10 = -60. f(4) = -2(4)^2 + 4(4) + 10 = -32 + 16 + 10 = -6.\)Now, we can add the two values of function to get equation given below:\(f(−5) + f(4) = -60 - 6 = -66.\)

To compute  \(f(−5) − f(4),\) we must first calculate the values of \(f(−5)\) and \(f(4). f(−5) = −2(-5)^2 + 4(-5) + 10 = -50 + -20 + 10 = -60. f(4) = -2(4)^2 + 4(4) + 10 = -32 + 16 + 10 = -6.\) Now, we can subtract the two values to get \(f(−5) − f(4) = -60 - (-6) = -54.\)

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The distances are as follows: (25) 2.83 units, (26) 5.10 units, (27) 8.37 units, (28) 1.41 units, (29) 3.46 units, and (30) 5.92 units.

To find the distance between two points in three-dimensional space, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is \(\sqrt{((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)}\), where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.

For exercise 25, the coordinates are (1, 1, 1) and (3, 3, 0). Plugging the values into the formula, we get \(\sqrt{((3 - 1)^2 + (3 - 1)^2 + (0 - 1)^2)}\) = \(\sqrt{(2^2 + 2^2 + (-1)^2)}\) = \(\sqrt{(4 + 4 + 1)}\) = √9 = 3 units.

Similarly, for exercises 26-30, we calculate the distances between the given points using the same formula.

For the second part of the question, to find the distance from a point to a plane, we use the formula d = |ax + by + cz + d| / \(\sqrt{(a^2 + b^2 + c^2)}\), where (x, y, z) are the coordinates of the point, and a, b, c, and d are the coefficients of the plane equation.

For example, for the point (3, -4, 2) and the xy-plane (which has the equation z = 0), we have a = 0, b = 0, c = 1, and d = 0. Plugging these values into the formula, we get d = |0 + 0 + 1*2 + 0| / \(\sqrt{(0^2 + 0^2 + 1^2)}\) = 2 / 1 = 2 units.

Similarly, we can calculate the distances from the point (−2, 1, 4) to the yz-plane (x = 0) and the xz-plane (y = 0) using the same formula.

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Answer: 25

Step-by-step explanation:

There are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.

To determine the number of ways to award first, second, and third prizes in a contest with 950 contestants, we can use the permutation formula:

P(n, r) = n! / (n - r)!

where n is the total number of contestants and r is the number of prizes to be awarded (in this case, 3).

Using this formula, we get:

P(950, 3) = 950! / (950 - 3)!

= 950! / 947!

= 950 × 949 × 948

= 853,818,600

Therefore, there are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.

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At the upper triple point, solid graphite, liquid carbon, and gaseous carbon dioxide coexist in equilibrium.

In a phase diagram for carbon, the upper triple point represents a specific combination of temperature and pressure where all three phases of carbon—solid (graphite), liquid (carbon), and gas (carbon dioxide)—coexist in equilibrium.

At this point, there is a delicate balance between the three phases, and any deviation from the exact temperature and pressure values would cause one or more phases to dominate.

The upper triple point is a unique set of conditions where solid graphite, liquid carbon, and gaseous carbon dioxide can exist simultaneously.

It's important to note that the precise values of temperature and pressure at the upper triple point may vary depending on the specific phase diagram being referenced.

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Answer:

3 and (-3) are the values of x

Answer:

  592 in²

Step-by-step explanation:

The surface area is the sum of the areas of the rectangles shown in the figure.

__

The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...

  A = LW = (12 in)(36 in) = 432 in²

The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...

  A = 2(LW) = 2(8 in)(10 in) = 160 in²

The total surface area of the figure is (432 +160) in² = 592 in².

Ray's total cost was $28, 908.50

Ray Cupple bought a basic car costing at $26,500.00,

The  options costing is $725.00.

The sales tax in the state is 6%

The combined cost for license and registration fee is $50.00

Cost price of car = $26,500 and the Cost of options= $725

Therefore, the total taxable cost=$26,500+ $725=$27225

Tax amount = 6% of Total taxable cost

                    =0.06 x $27225 = $1,633.5

Total cost = $27225 + $1,633.5 + $50

Total cost = $28,908.50

Therefore Ray's total cost was $28, 908.50

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Disclaimer : Your question was incomplete, the above mentioned answer is solved as per the following question "Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?"    

Answer:

Step-by-step explanation:

110 pounds and 30 pounds, add that up and you get 140

Answer: -7

Step-by-step explanation:

First, simplify the equation and make y isolated.

4x + y = -7

y = -7 - 4x

Plug in 0 for x.

y = -7 - 4(0)

y = -7

Answer:

X intercept is -2

Y intercept is 4

Answer:

The first one, \(x\)-intercept \(=2\); \(y\)-intercept \( = 4\)

Step-by-step explanation:

The \(x\)-intercept is where \(y=0\), so we can solve for it with the following equation:

\(0=4-2x→2x=4→x=2\)

So the answer is the first one, but just to make sure, you can solve for the \(y\)-intercept because their \(x\)-values always equal to \(0\) as well:

\(y=4-2(0)→y=4-0→y=4\).