A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.
​

Answer:

1110

Step-by-step explanation:

14 in binary is 1110

Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

The statements concerning areas under the standard normal curve that are true: a) If a z-score is negative, the area to its right is greater than 0.5. b) If the area to the right of a z-score is less than 0.5, the z-score is negative.

After analyzing these statements, I can conclude that:

a) True - If a z-score is negative, it means that the value is below the mean. In a standard normal curve, the mean has 50% of the area to the left and 50% to the right. Therefore, a negative z-score will have more than 50% of the area to its right.

b) True - If the area to the right of a z-score is less than 0.5, it means that the z-score is above the mean since more than 50% of the area is to the left. In a standard normal curve, the mean corresponds to a z-score of 0. Thus, a z-score with less than 50% of the area to its right is negative.

c) False - If a z-score is positive, the area to its left is greater than 0.5, not less. This is because a positive z-score indicates that the value is above the mean, and more than 50% of the area lies to the left.

So, the correct answer is that statements a) and b) are true, while statement c) is false.

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Precision and confidence are statistical concepts that influence sample size in research studies. Precision refers to the level of variability or margin of error in the measurements or estimates obtained from a sample. Confidence, on the other hand, refers to the degree of certainty or reliability associated with the results obtained from the sample.

Precision refers to the level of accuracy or consistency in the measurements or estimates obtained from a sample. It reflects the degree of variability or margin of error in the data. A high precision indicates low variability and a small margin of error, while low precision indicates high variability and a larger margin of error. Confidence, on the other hand, relates to the level of certainty or reliability in the results obtained from the sample. It represents the degree to which the sample results can be generalized to the population.

In statistical analysis, increasing precision often requires a larger sample size. A larger sample reduces the margin of error and increases the accuracy of the estimates. However, increasing the sample size also requires more resources, time, and effort. Therefore, there is a trade-off between precision and sample size.

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I cant see any question on the attachment it is just a black screen

search nyo po yong name ng module nyo po tapos kana pin nyo po don yong mga tanong na mababasa nyo tapos don nyo din po makikita ang answer

Answer:

(4,0) and (2,0)

Step-by-step explanation:

For an x-intercept, y=0, so now we have:

(x-4)(x-2)=0

Anything multiplied by 0 is 0, so (x-4)=0 and/or (x-2)=0

(x-4)=0

x=4

(x-2)=0

x=2

The x-intercept co-ordinates are: (4,0), (2,0)

Answer:

x-intercepts are (4,0) and (2,0)

The general solution to the differential equation 6y'' + 6y = 2tan(6) - 1/2e^{3t} is y(t) = c1*cos(t) + c2*sin(t) + (1/6)tan(6) - (1/36)e^{3t}.

To find this solution, first, solve the homogeneous equation 6y'' + 6y = 0. The characteristic equation is 6r^2 + 6 = 0. Solving for r gives r = ±i.

The homogeneous solution is y_h(t) = c1*cos(t) + c2*sin(t), where c1 and c2 are constants. Next, find a particular solution y_p(t) for the non-homogeneous equation by using an ansatz. For the tan(6) term, use A*tan(6), and for the e^{3t} term, use B*e^{3t}.

After substituting the ansatz into the original equation and simplifying, we find that A = 1/6 and B = -1/36. Thus, y_p(t) = (1/6)tan(6) - (1/36)e^{3t}. Finally, combine the homogeneous and particular solutions to get the general solution: y(t) = c1*cos(t) + c2*sin(t) + (1/6)tan(6) - (1/36)e^{3t}.

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An exponential expression is one in which a number has been raised to a certain power.

An exponential expression is one in which a number has been raised to a certain power.

Now;

1) 3^2 . (3^3)^2 . 3^-8 = 3^2 + 6 - 8= 3^0 = 1

2) (3^2) (2.3)^-3/2^-2 = 3^2 . 2^-3 . 3^-3/2^-3 = 1/3

3) (2^-1) . (3 . 2)^4/(3 . 2)^3 = 2^-1. 3^4 . 2^4/ 3^3. 2^3 = 3

4) 2^5 . 3^5 . 6^-5 = 32 * 243/7776 = 1

5) (2^3) . (2 . 3)^-1/2^2 = 2^3 . 2^-1 . 3^-1/2^2 = 1/3

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Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Entry is 1, so 5 * 9 modulo 4 is equal to 1.

An addition table for arithmetic modulo 4 using the set P={1,5,9,10} would look like this:

1 5 9 10

1 2 6 10 1

5 6 10 1 2

9 10 1 2 6

10 1 2 6 10

And a multiplication table for arithmetic modulo 4 using the set P={1,5,9,10} would look like this:

1 5 9 10

1 1 5 9 10

5 5 1 10 9

9 9 10 1 5

10 10 9 5 1

To evaluate 5 * 9 modulo 4, we find the entry in the multiplication table where the row is 5 and the column is 9. This entry is 1, so 5 * 9 modulo 4 is equal to 1.

Arithmetic modulo is a mathematical operation that computes the remainder of dividing one integer by another. The result of an operation is taken to be the residue (the remainder) of dividing the result by a fixed positive integer called the modulus in modular arithmetic. This means that if two numbers have the same remainder when divided by the modulus, they are considered equivalent modulo the modulus.

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Answer:

the answer will be True

Step-by-step explanation:

as the points match up to form a prefect straight line

Answer:

x = 3

Step-by-step explanation:

We are given a vertical line which means that the slope is undefined. Since we are passing through the x-axis at (3, 0) with no y-intercept, we will write this as x = 3.

Best of Luck!

Answer:

x=3

Step-by-step explanation:

for all amounts of y , x is 3.for example : we have (3,0) , (3,1) , (3,-1) , and ...

In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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Answer:

cos = adjacent/hypotenuse

3/square root13

now you do square root 13 x3 divided by square root 13^2

= 3square root13/13

hope that answers your question

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

The shortest piece is 5 feet long.

Let's use the terms given and set up the equation:
Let x represent the shortest piece.

According to the problem:
- The longest piece is 4 feet longer than the shortest piece, so it is x + 4 feet.
- The remaining piece is 2 feet shorter than the longest piece, so it is (x + 4) - 2 = x + 2 feet.
- The total length of the board is 21 feet.
Now we can set up the equation:
x (shortest piece) + (x + 4) (longest piece) + (x + 2) (remaining piece) = 21 feet.
Combining the terms, we get:
x + x + 4 + x + 2 = 21.
Simplifying, we get:
3x + 6 = 21.
Now, we need to solve for x (the shortest piece):
Subtract 6 from both sides: 3x = 15
Divide both sides by 3: x = 5.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

D

Step-by-step explanation:

y = x² - 4x - 5 → (1)

y = x - 9 → (2)

substitute y = x² - 4x - 5 into (2)

x² - 4x - 5 = x - 9 ( subtract x - 9 from both sides )

x² - 5x + 4 = 0 ← in standard form

(x - 1)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

substitute these values into (2) for corresponding values of y

x = 1 : y = 1 - 9 = - 8 ⇒ (1, - 8 )

x = 4 : y = 4 - 9 = - 5 ⇒ (4, - 5 )

Answer:

C. 4 weeks

Step-by-step explanation:

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week

After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks

Trish = 38 + 10x

Aria = 30 + 12x

Where,

x = number of weeks

After how many weeks will Trish and Aria have walked the same number of miles?

Equate both equations

38 + 10x = 30 + 12x

38 - 30 = 12x - 10x

8 = 2x

x = 8/2

x = 4 weeks

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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The number of sections that each have an area of 1/2 square mile will be 8.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

4 square miles of land are separated into sections that each have an area of 1/2 square mile.

Then the number of the equal section is given as,

⇒ 4 / (1/2)

⇒ 8 section

The number of sections that each have an area of 1/2 square mile will be 8.

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R script that performs the tasks you mentioned:

```R

# Task (a)

x <- 3

y <- 4

# Task (b)

ln_result <- log(x + y)

# Task (c)

log_result <- log10(x * y²)

# Task (d)

sqrt_result <- 2 * sqrt(3) * x + sqrt(4) * y

# Task (e)

exp_result <-\(10^{x - y\) + exp(x * y)

# Printing the results

cat("ln(x + y) =", ln_result, "\n")

cat("log10(\(xy^2\)) =", log_result, "\n")

cat("2√3x + √4y =", sqrt_result, "\n")

cat("\(10^{x - y\) + exp(xy) =", exp_result, "\n")

```

When you run this script, it will assign the values 3 to `x` and 4 to `y`. Then it will calculate the results for each task and print them to the console.

Note that I've used the `log()` function for natural logarithm, `log10()` for base 10 logarithm, and `sqrt()` for square root. The caret `^` operator is used for exponentiation.

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Answer:

2x(2x+11)

Step-by-step explanation:

4x^2 +22x

Factor out 2x

2x*2x +2x*11

2x(2x+11)

The first derivative of the function f(x)=ln(sinxcosx) is f'(x) = (cos²(x) - sin²(x))/sin(x)cos(x).

We are to find the first derivative of the function f(x)=ln(sinxcosx).

Since ln(sinxcosx) is a product, we must use the product rule to differentiate it.

Let u=sin(x) and v=cos(x).

Thus, using the product rule, we have:

f(x)=ln(sinxcosx) = ln(uv)

Differentiating both sides to x we have:

f'(x) = (1/uv)(u'v + v'u)

But u=sin(x) and v=cos(x).

Therefore, u' = cos(x) and v' = -sin(x).

Substituting for u', v', u and v in the previous equation:

f'(x) = (1/sin(x)cos(x))(cos(x)cos(x) - sin(x)sin(x))

= (cos²(x) - sin²(x))/sin(x)cos(x)

Therefore, the first derivative of the function f(x)=ln(sinxcosx) is f'(x) = (cos²(x) - sin²(x))/sin(x)cos(x).

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Answer:

y=−1/3x+3

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

you just multiply base by height

The curve with polar equation r = 10sin(θ)cos(θ) can be expressed in Cartesian coordinates as \(x^2 + y^2 - 10xy = 0\)

To derive the Cartesian equation, we can use the identities x = r cos(θ) and y = r sin(θ) to substitute for r in the polar equation:

\(x^2 + y^2 = (10sin(\theta)cos(\theta))^{2}\)

Simplifying, we get:

\(x^2 + y^2 = 25x^{2}y^{2}\)

Rearranging, we obtain the final Cartesian equation:

\(x^2 + y^2 - 10xy = 0\)

This equation represents a special type of conic section known as a hyperbola. It has two branches that are symmetric about the line y = x/2. To visualize the curve, we can plot several points using the polar equation and convert them to Cartesian coordinates.

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The area of the regular octogon is 196.15 square inches.

For a regular octogon with apothem A and side length L, the area is given by:

area =(2*A*L) * (1 + √2)

Here we know that:

A = 7in

L = 5.8 in

Replacing these values in the area for the formula, we will get the area:

area = (2*7in*5.8in) * (1 + √2)

area = 196.15 in²

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