Is the value of the expression greater than 1, equal to 1, or less than 1?

(12/64)^0​

Answer:

12 miles per gallon (answer A)

Step-by-step explanation:

300:25

Divide each side by 25:

12:1

12 is your answer

Hope that helps

Answer: 16 feet 5 inches

Step-by-step explanation:

From the question, we are informed that the addition to the deck at the back of Kristan house was 7 feet 11 inches on one side and 8 1/2 feet on the other.

To get the total length of saftey rail that they should buy, we would add the value given together. This will be:

= 7 feet 11 inches + 8 feet 6 inches

= 15 feet 17 inches

= 16 feet 5 inches

Nite that 12 inches = 1 foot.

Therefore, the answer is 16 feet 5 inches.

The value of the midsegment(SR) of the Triangle KJI  is 7 .

The Mid Segment Theorem states that , the line segment joining the mid points , of the the other two sides of the triangle is parallel to and half the length of the third side .

In the question ,

it is given that

In triangle KJI , SR is the mid segment of the triangle KJI and IK is the base

So , by mid segment theorem ,

we get ( 2x - 5 ) = (1/2)(x + 8)

2*(2x-5) = x+8

4x - 10 = x + 8

3x = 10 + 8

3x = 18

x = 6

so , SR = 2x-5 = 2(6)-5 = 12-5 = 7

Therefore , The value of the midsegment(SR) of the Triangle KJI  is 7 .

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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Answer:

they only had one pair of trunks

Step-by-step explanation: i hope that helps you

The possible coordinates of the rectangle's other two vertices are

Given that:-

Coordinates of the rectangle : (3,7) and (-4,7).

Perimeter of the rectangle = 30units

We have to find the possible coordinates of the rectangle's other two vertices.

Let the length and breadth of the rectangle be l and b respectively.

We know that,

Perimeter of rectangle = 2(l + b)

Hence,

2(l + b) = 30

l + b = 15 units.

Distance between the points (3,7) and (-4,7) =

\(\sqrt{(7-7)^2+(-4-3)^2}=\sqrt{0^2+(-7)^2}=\sqrt{49} =7 units\)

Let b = 7 units.

l + 7 = 15

l = 8 units.

Hence,

Possible Coordinates of rectangle:-

(3, 7+8) or (3,7-8) = (3,15) and (3,-1) and,

(-4,7+8) or (-4, 7-8) = (-4, 15) and (-4,-1).

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The expected value of the total number of heads showing when all 13 fair coins land is 6.5.

Let X be the total number of heads showing when all the coins land. Then the expected value of X is given by the formula:E(X) = E(X1) + E(X2) + ... + E(X13)

Here, X1, X2, ..., X13 are the numbers of heads that each coin shows, and E(Xi) is the expected value of Xi. Since all the coins are fair, the expected value of each Xi is 1/2 (the probability of getting a head).

Thus, E(X) = 13(1/2) = 6.5

Therefore, the expected value of the total number of heads showing when all 13 fair coins land is 6.5.

This means that if you were to toss 13 coins many times and record the number of heads that come up each time, the average number of heads per toss would approach 6.5 as the number of tosses becomes large.

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On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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As x approaches positive infinity (∞), f(x) approaches positive infinity (∞).

As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞).

When x approaches 8 from the left (x → 8-), f(x) approaches negative infinity (-∞).

When x approaches 8 from the right (x → 8+), f(x) approaches positive infinity (∞).

To determine the corresponding behavior of f(x) for different behaviors of x, let's examine each scenario:

When x approaches positive infinity (∞):

As x becomes larger and larger, the behavior of f(x) can be determined by looking at the highest power term, which is x^3 in this case. Since x^3 grows faster than x and (x - 8), the dominant term is x^3. Therefore, as x approaches positive infinity, f(x) also approaches positive infinity (∞).

When x approaches negative infinity (-∞):

Similar to the previous case, as x becomes more negative and approaches negative infinity, the dominant term is still x^3. Hence, f(x) also approaches negative infinity (-∞).

When x approaches 8 from the left (x → 8-):

When x approaches 8 from the left side, meaning slightly smaller values than 8, the term (x - 8) approaches 0 from the negative side. Thus, f(x) approaches negative infinity (-∞).

When x approaches 8 from the right (x → 8+):

Similarly, when x approaches 8 from the right side, slightly greater values than 8, the term (x - 8) approaches 0 from the positive side. Therefore, f(x) approaches positive infinity (∞).

In summary:

As x approaches positive infinity (∞), f(x) approaches positive infinity (∞).

As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞).

When x approaches 8 from the left (x → 8-), f(x) approaches negative infinity (-∞).

When x approaches 8 from the right (x → 8+), f(x) approaches positive infinity (∞).

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Answer:

2 feet away from the building

Step-by-step explanation:

Hope this helps!

As per the angle sum property of quadrilateral, then values of x is 245 and the value of y is 341

Angle sum property of quadrilateral:

The angle sum property states that the sum of all the angles of the quadrilateral is 360 degree.

Given,

The angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.

Now we have to write and solve a system of linear equations to find the values of x and y.

While we looking into the given angles, then we get the values

=> 5x°

=> (4y - 2)°

=> (13x + 10)°

=> 10y°

We know that, the sum of all the angles of the quadrilateral is 360°.

So, it ca be written as,

=> 5x° + (4y - 2)° + (13x+ 10)° + 10y° = 360°

=> 18x° + 14y° - 8° = 360°

=> 18x° + 14y° = 354°

When we divide all of them by 2, then we get the equation as,

=> 9x° + 7y° = 177°

Now we have to rewrite the given equation as,

=> 9x° = 177° - 7y°

=> x° = (177° - 7y°)/9

Apply these value on the angles, then we get,

=> 13(177 - 7y)/9 = -10

=> 13(177 - 7y) = 90

=> -7y = -90 - 2301

=> 7y = 2391

=> 341

Then the value of x is

=> 245

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Answer:

6% Error

Step-by-step explanation:

Answer:

6.48%

Step-by-step explanation:

estimate: 1052

real: 988

percent error = (estimate - real)/real × 100%

percent error = (1052 - 988)/988 × 100%

percent error = 6.48%

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

\(100*3 + 100*2 + 160*1 = 660\)

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

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Answer:

f(3) = 4(3)-2 = 12-2 = 10

Step-by-step explanation:

By comparing f(3) and f(x), you can see that it is basically replacing the x in the equation with the value of 3.

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

Answer:

number less than 3=1 and 2

so 2/6 = 1/3 in lowest terms

then rolling a 6 =

there is only one 6 so it will be 1/6

I hope I helped

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

-3*x = -3x

-3*4 = -12

12< -3x - 12

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

24< -3x

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

-8<x

Answer:29160

Step-by-step explanation:

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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Let the speed of the first plane be x then the speed of the second plane would be x + 30

The combined speed is x + x + 30 = 2x + 30

2x + 30 = 380

Subtract 30 from both sides

2x = 350

Divide both sides by 2

X = 175

The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour

Answer:

2.39

Step-by-step explanation:

Answer:

2.3910000000

Step-by-step explanation:

Here, we want to determine the end behavior of the given polynomial

To do this, we need to know the leading coefficient sign and the degree of the polynomial (if even or odd)

As we can see, the leading coefficient is a positive number while the degree of the polynomial is odd

So, we need to evaluate the behavior of a polynomial with a positive leading coefficient and an odd degree

The correct answer here is that;

Answer:

B trustttttttt

Step-by-step explanation:

To prove the given statements, we will use the triangle inequality property, which states that for any real numbers a, b, and c:

|a + b| ≤ |a| + |b|
|a - b| ≤ |a| + |b|

(a) To prove sm+1 - sm ≤ 2·2^(-m)·|s₂ - s₁| for all m ∈ ℕ, we will use the given inequality |sn+2 - sn+1| ≤ |sn+1 - sn|.

Let's consider m ∈ ℕ. Using the given inequality, we can write:

|sm+1 - sm| ≤ |sm - sm-1|
≤ |sm-1 - sm-2|
≤ ...
≤ |s₂ - s₁|

Since we have |s₂ - s₁| on the right side, we can substitute it into the inequality:

|sm+1 - sm| ≤ |s₂ - s₁|

Now, we need to prove that |s₂ - s₁| ≤ 2·2^(-m)·|s₂ - s₁|. Let's multiply both sides of the inequality by 2^m:

2^m·|s₂ - s₁| ≤ 2·2^(-m)·|s₂ - s₁|

Since 2^m·2^(-m) = 2^(m-m) = 2^0 = 1, the inequality becomes:

|s₂ - s₁| ≤ 2·2^(-m)·|s₂ - s₁|

Therefore, we have shown that sm+1 - sm ≤ 2·2^(-m)·|s₂ - s₁| for all m ∈ ℕ.

(b) To prove |sn - sm| ≤ 4·2^m·|s₂ - s₁| for all n > m > 1, we can use the same approach as in part (a).

Let's consider n > m > 1. Using the given inequality, we can write:

|sn - sm| ≤ |sn - sn-1|
≤ |sn-1 - sn-2|
≤ ...
≤ |sm+1 - sm|

Using the inequality from part (a), we can substitute it into the inequality:

|sn - sm| ≤ |sm+1 - sm|
≤ 2·2^(-m)·|s₂ - s₁|

Now, we need to prove that 2·2^(-m)·|s₂ - s₁| ≤ 4·2^m·|s₂ - s₁|. Let's simplify this inequality:

2·2^(-m)·|s₂ - s₁| ≤ 4·2^m·|s₂ - s₁|

Since 2^(-m)·2^m = 2^(-m+m) = 2^0 = 1, the inequality becomes:

|s₂ - s₁| ≤ 4·2^m·|s₂ - s₁|

Therefore, we have shown that |sn - sm| ≤ 4·2^m·|s₂ - s₁| for all n > m > 1.

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The exact probability cannot be determined without additional information such as the average daily sales rate.

To find the probability of selling more than 250 gallons, we need to find the cumulative distribution function (CDF) of the number of gallons sold, which is the probability of selling a certain amount or less. Since the amount sold follows a Poisson distribution with an average of 200 gallons, the CDF can be calculated using the Poisson cumulative distribution function formula:

P(X <= x) = e^(-μ) * (μ^x) / x!

Where μ is the average number of gallons sold and x is the amount sold. To find the probability of selling more than 250 gallons, we subtract the CDF for 250 gallons or less from 1. This gives us the probability of selling more than 250 gallons.

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When Kayla rode her bike home from college one weekend, her biking speed is 15 miles per hour

Speed is defined as the ratio between the distance and the amount of time an object traveled.

speed = distance/time

If the average speed of the bus was 10 miles per hour faster than Kayla’s biking speed, we have:

average speed of the bus = 10 mph + biking speed

let x = biking speed

y = average speed of the bus

y = 10 + x

Covering the same distance of 75 miles, calculate the time it took her riding the bus and the bike.

time = distance/speed

time riding the bus = 75 miles/(10 + x)

time riding the bike = 75 miles/x

If it took her 2 hours less to ride back to college on the bus than it took her to ride home on her bike

time riding the bus = time riding the bike - 2

75 miles/(10 + x) = (75 miles/x) - 2

75/(10 + x) = (75 - 2x)/x

Multiplying both sides by x(10 + x),

x(10 + x)[75/(10 + x)] = x(10 + x)[(75 - 2x)/x]

75x = 750 - 20x + 75x - 2x^2

2x^2 + 20x - 750 = 0

x^2 + 10x - 375 = 0

(x - 15)(x + 25) = 0

x = 15   ;   x = -25

Since we cannot have negative amount of time, choose x = 15.

Hence, Kayla's biking speed is 15 miles per hour.

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Using reflection concepts, it is found that the correct option is:

---------------

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Answer:

b

Step-by-step explanation: