a picture frame cube has a volume of 64 cubic cm. each of the six faces holds a picture of the same size as the face. what size picture does each face hold?

Answer:

B.

Step-by-step explanation:

(2+9) ft 3ft

P= 2(l+ w)

P= 2(ll+3)

P= 28

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The length of the arc that subtends a central angle of 309 degrees in a circle of radius 5 is approximately 26.8479 units.

To find the length of the arc that subtends a central angle of 309 degrees in a circle of radius 5,

we can use the formula:

Arc Length = (θ/360) * (2 * π * r)

where θ is the central angle in degrees, r is the radius of the circle, and π is approximately equal to 3.14159.

Given:

θ = 309 degrees

r = 5

Substituting the values into the formula, we have:

Arc Length = (309/360) * (2 * π * 5)

= (309/360) * (2 * 3.14159 * 5)

= (309/360) * (31.4159)

≈ 26.8479

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The approximated possible propagated error in computing the volume of the cube is 20.25 .

The approximated possible propagated error in computing the surface area of the cube is 5.4.

The formula's for volume and surface area of cube is as follows,

\(V=a^3\\S=6a^2\)

Where a is the side of the cube.

When you utilize those questionable measurements to calculate something else, error propagation (or uncertainty propagation) occurs to measurement mistakes.

The error in the edge of the cube is 0.03 inch, so

\(a=15\pm0.03\)

Δa=0.03 inches

Now, differentiating the volume function of cube,

\(\frac{dV}{da} =3a^2\\dV=3a^2da\)

Putting the values,

Δ\(dV=3(15)^2\times0.03\\dV=20.25\)

Now, differentiating the surface area function of cube,

\(\frac{dS}{da}=12a\)

Putting the values,

\(dS=12\times15\times da\\dS=12\times15\times 0.03\\dS=5.4\)

Therefore, The approximated possible propagated error in computing the volume of the cube is 20.25 and The approximated possible propagated error in computing the surface area of the cube is 5.4.

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Answer:

C is your Answer

Step-by-step explanation:

Answer:

a or b i will help no further

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

  z - score = 2   corresponds to .9772    97.7 %

Answer:

28

Step-by-step explanation:

The first five prime numbers are = 2,3,5,7,11

Addition of the prime nos. = 2+3+5+7+11=28

The first prime numbers are: 2, 3, 5, 7, 11.

The sum is 2 + 3 + 5 + 7 + 11 = 28, so option 4

If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.

When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.

The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:

The area of a circle with a radius of 24 miles is A = πr²,

which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.

Therefore, the number of people infected is calculated by multiplying the area by the population density:

Residents infected = area x population density

= 1,809.56 x 18.8 ≈ 34,037.

Approximating to the nearest hundred yields 34,000.

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Answer:

14

Step-by-step explanation:

or 16

Answer:

15

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A?

The supply curve shifts as a result of every factor but a change in market price. The movement along the supply curve and the change in price are correlated.

The supply curve can change depending on a number of variables, such as shifts in production costs (such as raw material and labor prices), advancements in technology, the level of competition and the number of sellers/producers, as well as the regulatory and tax environment.

Although a shift in the quantity supplied or along the supply curve for a given commodity or service is frequently brought about by a change in price, the supply curve itself does not alter as a result.

Input prices, weather conditions, technological advancements, as well as governmental taxes, regulations, and subsidies, can all modify the supply curve for goods and services, resulting in a different quantity being delivered for a given price.

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Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

1800 is the original cost

Step-by-step explanation:

cost + 11% cost = 1998

Factor out the cost

cost *( 1+11%) = 1998

cost ( 1.11) = 1998

Divide each side by 1.11

cost = 1998/1.11

cost =1800

The technique for determining an array index using only a search key and not searching is called hashing.

Hashing is a method that maps data to a fixed-size array called a hash table. In this technique, a hash function is used to generate a unique index for each search key. The hash function takes the search key as input and performs some calculations to produce the index value.

This index is then used to access the corresponding element in the array, providing direct access to the desired data without the need for further searching.

Hashing is the technique of determining an array index using only a search key.

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Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

The value after divide is, 11/3.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 2 1/5 divided by 3/5.

Now, After divide we get;

⇒ 2 1/5 divided by 3/5

⇒ 2 1/5 ÷ 3/5

⇒ 11/5 × 5/3

⇒ 11/3

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The solution to the expression is A = 11/3

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first fraction be represented as p

The value of p = 2 1/5

Let the second fraction be represented as q

The value of q = 3/5

So, A = p/q

On simplifying the equation , we get

A = p divided by the value of q

And , A = ( 11/5 ) / ( 3/5 )

A = 11/3

The simplest form of the value of A = 11/3

Therefore , the value of A is 11/3

Hence , the expression is A = 11/3

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Answer:

3x - 2

Step-by-step explanation:

Divide 2 from all terms within the parenthesis:

(6x - 4)/2

6x/2 = 3x

-4/2 = -2

3x - 2 is your answer.

~

Answer:

(-1,8)

Step-by-step explanation:

use formula

A(x,y) = A'(-y , -x)

coordinate point is

(-8,1)=(-1,8)

therefore the image of the (-8,1) after a reflection over the line y=-x is (-1,8)

Answer:

A'(-1,8)

Step-by-step explanation:

Initial point A(-8,1)

reflection about y=-x has the rule

x, y -> (-y, -x)

So

A(-8,1) -> A'(-1,8)

Answer:

  58.25

Step-by-step explanation:

A "moving average" is a "boxcar average," the unweighted average over the specified number of days.

The 4-day moving average ending on day 7 is ...

  4-day average = (day 4 +day 5 +day 6 +day 7)/4

  = (60 +59 +55 +59)/4 = 233/4

  4-day average = 58.25

The four-day moving average for the price of the stock for the end of day 7 is 56.00

What is moving average?

The moving average on a particular day  is the average of prices on the days prior to the pricing day.

In other words, four-day moving average on day 7 is the sum the prices of four days prior to day 7 divided by the number of days whose prices were considered.

In computing the four-day moving average for day 7, we would sum the prices for days 3-6, then divide the sum by 4 since prices of 4 days were made use of.

four-day moving average on day 7=(50.00+60.00+59.00+55.00)/4

four-day moving average on day 7= 56.00

Note, as the day of pricing changes, the input prices would also change

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Answer: 122 I'm think I'm not sure tho

Step-by-step explanation:

The greatest possible value for n(AUB) can be determined by finding the union of sets A and B, considering the maximum number of elements that can be in the union.

The notation n(A) represents the number of elements in set A. Given that n(U) = 16, it indicates that the universal set U contains 16 elements. Set A has 7 elements, and set B has 12 elements. To find the greatest possible value for n(AUB), we consider the maximum number of elements that can be in the union. The union of two sets combines all the elements from both sets without duplicating any common elements.

In this case, the greatest value for n(AUB) occurs when all the elements from both sets A and B are combined without duplication. Therefore, the greatest value for n(AUB) is the total number of elements in both sets A and B, which is 7 + 12 = 19.

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Answer:

D. 33.49

Step-by-step explanation:

The value of x is 33.49°.

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

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Answer:

50, 25

Step-by-step explanation:

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Therefore, the level of production that yields the maximum profit is 80 and maximum profit is $5400.

To find the level of production that yields the maximum profit, we need to determine the x-value at which the profit function P(x) reaches its maximum. We can do this by finding the vertex of the quadratic function P(x).

The profit function is given by \(P(x) = 160x - x^2 - 1000.\)

To find the x-value of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in the form \(ax^2 + bx + c.\)

In this case, the quadratic function is \(-x^2 + 160x - 1000\), so a = -1 and b = 160.

Substituting the values into the formula, we have:

x = -160 / (2*(-1))

x = -160 / -2

x = 80

To find the maximum profit, we substitute this value of x back into the profit function:

\(P(80) = 160(80) - (80)^2 - 1000\)

P(80) = 12800 - 6400 - 1000

P(80) = 6400 - 1000

P(80) = 5400

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Step-by-step explanation:

2x- (14/10) = (34/10) -6/10x

2x+6/10x =34/10+14/10

26/10x =48/10

X = 48/10 / 26/10

X= 48/10 X 10/26

X= 48/26

X= 24/13

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.