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A cube shaped box has a side length of 15 inches and contains 27 identical cube shaped blocks. What is the surface area of all 27 blocks compared to
the surface area of the box?
inches, so the total surface area of the 27 blocks is
the surface area of the box
The side length of the blocks is
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square inches. This is

Step-by-step explanation:

30 < 2x + 16

30 - 16 < 2x

14 < 2x

14/2 < x

7 < x

or

x > 7

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Answer: x > 7

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 2x by subtracting 16 from both sides.

That leaves you with 14 < 2x.

To get x by itself, divide both sides by 2 and 7 < x.

I like to put my variable on the left side but if we do that,

we must switch the direction of the inequality sign.

So 7 < x is the same as x > 7.

However, 7 < x is still the right answer, just a matter of preference.

The amount each friend should pay is $21.54

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

Cost = 89.75

Tip = 20%

The amount to be paid by each friend is calculated as

Unit cost = Cost * (1 + Tip)/5

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

Unit cost = 89.75 * (1 + 20%)/5

Evaluate

Unit cost = 21.54

Hence, the amount is 21.54

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None of the provided answer choices accurately represents the value of T⁴ when T is 10 K. The correct value is 10⁸ K².

The value of T⁴ can be calculated by multiplying the temperature (T) by itself four times. In this case, the given temperature is 10 K. Let's perform the calculation step by step.

T⁴ = T × T × T × T

T⁴ = 10 K × 10 K × 10 K × 10 K

Now, let's calculate the value of T⁴.

T⁴ = 10,000 K × 10,000 K

T⁴ = 100,000,000 K²

To simplify further, we can rewrite 100,000,000 K² as 10⁸ K².

Therefore, the value of T⁴ is 10⁸ K².

Now let's consider the answer choices provided:

a. 1: The value of T⁴ is not equal to 1; it is much larger.

b. 10,000: The value of T⁴ is not equal to 10,000; it is much larger.

c. 4,000: The value of T⁴ is not equal to 4,000; it is much larger.

d. -1,000: The value of T⁴ is not equal to -1,000; it is a positive value.

In conclusion, the value of T⁴ when T is 10 K is 10⁸ K².

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Answer:

104degrees

Step-by-step explanation:

From the given diagram, line LJ bisects KN, hence arcKL = arcHJ

Given

arHJ = 4x

arc KJ = x+39

Equating both

4x = x+39

4x - x = 39

3x = 39

x = 39/3

x = 13

Since arcHK = arcHJ + arcKJ

arcHK = x+39+4x

arcHK = 5x+39

arcHK = 5(13) + 39

arcHK = 65+39

arcHK = 104degrees

Hence the measure of arcHK is 104degrees

The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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Answer:

the dimension of the rectangle is 4 cm and 6 cm respectively

Step-by-step explanation:

The computation of the dimension of the rectangle is shown below:

Given that

The perimeter of the rectangle is 20 cm

The width be x

So, the length would be 2 1 ÷ 4 x - 3 i.e.  9 ÷ 4x - 3

Now as we know that

Perimeter of the rectangle = 2 (length + width)

20 = 2 (9 ÷ 4x - 3 + x)

20 = 9 ÷ 2x - 6 + 2x

20 = 4.5x - 6 + 2x

26 = 6.5x

x = 4 cm

Now the length would be

= 9 × 4  ÷ 4  - 3

= 6 cm

Hence, the dimension of the rectangle is 4 cm and 6 cm respectively

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The player should lose 1 point for not rolling doubles in order to make this a fair game. Answer: 1.

A game of "Doubles-Doubles" is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double. If a player rolls doubles, the player earns 3 points and gets another roll. If the player rolls doubles again, the player earns 9 more points.

Whenever the player rolls the dice and does not roll a double, they lose points.

Three-fifths Start Fraction 27 Over 35

End Fraction Nine-tenths 1.

We can calculate the probability of rolling doubles as:

There are 6 possible outcomes for the first dice. For each of the first 6 outcomes, there is one outcome on the second dice that will make doubles.

So, the probability of rolling doubles is 6/36, which reduces to 1/6.The player earns 3 points for the first roll of doubles and 9 more points for the second roll of doubles.

Thus, the player earns 12 points total if they roll doubles twice in a row.

The probability of not rolling doubles is 5/6. We need to find the value of p that makes the game fair, which means that the expected value is zero.

Therefore, we can write the following equation:

0 = 12p + (-p) p = 0/11 = 0

The player should lose 1 point for not rolling doubles in order to make this a fair game. Answer: 1.

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The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

We have,

Two functions:

f(x) = b^x

g(x) = log_b(x)

Now,

From the table,

f(0.699) = b^0.699 = 5

Taking the logarithm of both sides with base b.

log_b(5) = 0.699

b = 5^(1/0.699)

b = 8.343

Now, we can find the value of f(1.477).

f(1.477) = b^1.477 = 8.343^1.477 = 32.857

Similarly, we can find the value of g(20).

g(20) = log_b(20) = log_8.343(20) = 1.729

Thus,

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

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The perimeter of the triangle is 12 in.

What is perimeter of similar triangle?

The perimeter of similar triangle is equal to the ratio of the similar sides of the triangle.  The ratio of two similar perimeters of two similar shapes is equal to the  ratio of the lengths of their corresponding sides.

Here, perimeter of triangle PQR = sum of all the side

=12+20+16

=48

The ratio of the corresponding side = 12/3

=4/1

Hence, the perimeter of triangle xyz = ?

perimeter of triangle PQR /perimeter of triangle xyz =4/1

48/x =4/1

x = 48/4

=12

Hence, the perimeter of triangle xyz = 12

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Answer:

don't know gdlhh but the other viral marketing has 44ru

Both Teresa and Leon have constructed regular hexagons. Teresa drew a circle and marked a point on it, then used a compass set to the radius to construct a regular hexagon. Leon drew a segment, then used a circle with the segment as the radius and a compass set to the length of the segment to construct a regular hexagon.

It is important to note that a regular hexagon is a polygon with six congruent sides and six congruent angles, and is constructed by using a compass to draw six equidistant points on a circle, connecting the points with straight lines, forming the hexagon. In both cases described above, it appears that Teresa and Leon were using a compass and the appropriate measurements to construct regular hexagons.

Bob and Patrick are competing to see who can gain weight the fastest. Bob started out weighing 155.3 pounds and gains 2.5 pounds per week. Patrick started out weighing 139.7 pounds and gains 3.8 pounds per week. 12 weeks will both of them weigh the same,

These questions are as follows :

Bob started out weighing 155.3 pounds and gains 2.5 pounds per week.

let the month be x: 155.3+2.5x ....1

Patrick started out weighing 139.7 pounds and gains 3.8 pounds per week

let the week be x: 139.7 +3.8x ...2

weeks will both of them weigh the same

questions 1 and 2

155.3+2.5x =139.7 +3.8x

155.3-139.7= 3.8x-2.5x

15.6 = 3.8y -2.5 x

15.6=1.3x

15.6/1.3= 12

now value x =12, week  are 12 in which both them have equal weight

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Answer:

133 1/3%

Step-by-step explanation:

x/100 = 28/21

cross-multiply:

21x = 2800

x = 2800/21

x = 133 1/3%

The fraction of numbers less than n that are prime is about 1/ln(n).

What is positive integers?

Positive integers are the set of whole numbers greater than zero. In other words, the positive integers are the natural numbers, denoted by the symbol N, which is often defined as N = {1, 2, 3, 4, ...}. The positive integers are a fundamental concept in mathematics, and many important mathematical structures, such as the integers, rational numbers, real numbers, and complex numbers, are built upon the foundation of the positive integers.

As predicted by the prime number theorem. Specifically, as n becomes very large, the proportion of primes among the positive integers less than or equal to n approaches 1/ln(n). In other words, the prime number theorem gives an asymptotic estimate for the density of primes. This means that for sufficiently large n, the actual proportion of primes among the first n positive integers is very close to 1/ln(n).

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a) The probability that the time between consecutive customers is less than 15 seconds is approximately 0.0712. b) The probability that the time between consecutive customers is between ten and fifteen seconds is approximately 0.0214. c) The time between consecutive customers arriving is greater than ten seconds, the chance that it is greater than fifteen seconds is approximately 0.8187.

Part a) To find the probability that the time between consecutive customers is less than 15 seconds, we need to calculate the cumulative distribution function (CDF) of the exponential distribution.

Mean of the exponential distribution (μ) = 0.35 minutes

The exponential distribution has the probability density function (PDF):

f(x) = (1/μ) * e^(-x/μ)

To calculate the probability, we integrate the PDF from 0 to 15 seconds (0.25 minutes):

P(X < 15 seconds) = ∫[0, 0.25] (1/0.35) * e^(-x/0.35) dx

Evaluating this integral using appropriate methods, we find:

P(X < 15 seconds) = 0.0712

Therefore, the probability that the time between consecutive customers is less than 15 seconds is approximately 0.0712.

Part b) To find the probability that the time between consecutive customers is between ten and fifteen seconds, we calculate the difference in probabilities:

P(10 seconds < X < 15 seconds) = P(X < 15 seconds) - P(X < 10 seconds)

Using the exponential distribution properties, we substitute the respective probabilities:

P(10 seconds < X < 15 seconds) ≈ 0.0712 - 0.0498 = 0.0214

Therefore, the probability that the time between consecutive customers is between ten and fifteen seconds is approximately 0.0214.

Part c) Given that the time between consecutive customers arriving is greater than ten seconds, we can use the conditional probability formula:

P(X > 15 seconds | X > 10 seconds) = P(X > 15 seconds and X > 10 seconds) / P(X > 10 seconds)

Since the exponential distribution is memoryless, the conditional probability is the same as the probability of X > 5 seconds:

P(X > 15 seconds | X > 10 seconds) = P(X > 5 seconds)

Using the exponential distribution properties, we find:

P(X > 5 seconds) = 1 - P(X < 5 seconds)

Substituting the appropriate values, we have:

P(X > 5 seconds) = 1 - P(X < 5 seconds) = 1 - 0.1813 ≈ 0.8187

Therefore, given that the time between consecutive customers arriving is greater than ten seconds, the chance that it is greater than fifteen seconds is approximately 0.8187.

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The gram and kilogram are two units used to measure mass in the metric system .

We need to find the metric unit to find mass of a book.

The resistance that a body of matter offers to a change in its speed or position upon the application of a force.

1 kilogram of a substance is equal to 1000 grams and 1 gram is equal to 0.001kg. Therefore, to convert the mass of a book weighing 12,321g into kg, we will multiply it by 0.001kg. The book's mass in kg is 12.321 kg.

Therefore mass is measured by kilogram or grams.

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Answer:

x < -3

Step-by-step explanation:

its correct that the answer.

Step-by-step explanation:

<:

Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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Since segment AD bisects angle BAC, the value of x is equal to 14.6.

In Mathematics, an angle bisector can be defined as a type of line, ray, or segment, that bisects or divides a line segment exactly into two (2) equal angles.

By applying the angle bisector theorem to this triangle (ΔABC), we have:

AB/BD = AC/DC

19/x = 17/(20 - x)

17x = 19(20 - x)

17x = 380 - 19x

19x + 17x = 380

26x = 380

x = 380/26

x = 14.6.

In conclusion, we can reasonably infer and logically deduce that the value of x in triangle ABC is 14.6.

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The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

Evaluate

f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

Expand

f(x) = x^2 - 4

Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

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Answer:

8, 1, and 3

Step-by-step explanation:

Range is the y in (x, y)

Hope it helps

If {u, v, w} is linearly independent, then {uv, uw, vw} is linearly independent, and vice versa.

The statement can be proved using the concept of linear independence.

First, assume that {u, v, w} is linearly independent.

This means that no non-zero linear combination of u, v, and w can result in the zero vector.

Now, let's consider the set {uv, uw, vw}.

We need to show that no non-zero linear combination of uv, uw, and vw can result in the zero vector.

Assume that a non-zero linear combination of uv, uw, and vw results in the zero vector.

This implies that there exist scalars x, y, and z (not all zero) such that:

x(uv) + y(uw) + z(vw) = 0

Expanding this expression, we get:

xuv + yuw + zvw = 0

Since u, v, and w are distinct vectors, we can conclude that x = y = z = 0, which contradicts our assumption.

Therefore, {uv, uw, vw} is linearly independent.

Conversely, if {uv, uw, vw} is linearly independent, we can apply the same logic to show that {u, v, w} is linearly independent.

In summary, if {u, v, w} is linearly independent, then {uv, uw, vw} is linearly independent, and vice versa.

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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Answer:

Step-by-step explanation:

There are 2 directions Ali can walk along the line g ⊥ f .

≡ Ali can walk in NE direction and stop at point with coordinates (10, 11) ;

≡ Ali can walk in SW direction and stop at point with coordinates (- 2, - 5) .

Radius of the circle equal to CE

the only way I can help is if you tell me what his mood and what is range then text me back in the comments and I'll see if I can help you

The mode of the data is 13 and 18 and range is 8.

The value that appears most frequently is the "mode." There is no mode for the list if no number on the list is repeated.

A list of numbers' "range" is just the range between the largest and lowest values. It conveys "spread," which is the degree to which the values are scattered (or how concentrated they are).

Given:

data: 16 14 13 10 13 18

Arrange the data: 10 13 13 14 18 18

a) The mode of the data is

Mode = 13 and 18.

b) Range = Highest - lowest

Range = 18 - 10

Range = 8

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Answer:

1=x

Step-by-step explanation

Add 14 to both side(because it is opposite)

-6=8x-14

+14       +14

8=8x

Divide both sides by 8

8/8=8x/8

1=1x(or just 1=x)

The answer will be X=1.